{"meta":{"query_hash":"d02552062169","filters":{"topic":"Algebraic structures and combinatorial models"},"cohort_total":1531,"direct_labels_cover":1,"predictions_cover":1531,"exported":1531,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/d02552062169","api":"https://metacan.xera.ac/api/v1/cohort?topic=Algebraic+structures+and+combinatorial+models"},"results":[{"id":"W100755081","doi":"10.4171/dms/7/6","title":"Equivariant oriented cohomology of flag varieties","year":2015,"lang":"en","type":"book-chapter","venue":"Documenta mathematica series","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; Alexander von Humboldt-Stiftung","keywords":"Mathematics; Equivariant cohomology; Cohomology ring; Pure mathematics; Equivariant map; Cohomology; Group cohomology; Morphism; Ring (chemistry); Algebra over a field; Cup product; De Rham cohomology","score_opus":0.06173208647744479,"score_gpt":0.310450956176046,"score_spread":0.2487188696986012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W100755081","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0011691685,0.0009125357,0.0020152668,0.00039636777,0.002253175,0.0014412956,0.00014593125,0.00030969814,0.99135655],"genre_scores_gemma":[0.032518823,0.00019488898,0.01659562,0.0000785984,0.0006359121,0.000112298054,0.00014033276,0.00040436364,0.9493192],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99691975,0.00005172966,0.0012235281,0.0004985866,0.0008876351,0.00041878747],"domain_scores_gemma":[0.9969091,0.00035965446,0.0010078427,0.0011695648,0.00038254887,0.00017130886],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004487316,0.0007046125,0.0015963336,0.0001686196,0.000103290084,0.00005991499,0.0005899029,0.0006079163,0.0047317487],"category_scores_gemma":[0.00026590528,0.00059613754,0.00031418374,0.00005531611,0.0005494437,0.000250288,0.0005258799,0.00038970768,0.000081760685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014029616,0.000054594257,6.482105e-7,0.00078640395,0.00049729267,0.000024529343,0.0013862251,3.355615e-7,0.000021794835,0.9824603,0.014568166,0.000059369173],"study_design_scores_gemma":[0.0005525431,0.0004055111,1.8540777e-7,0.00031379517,0.00043419233,0.00010002361,0.0002673796,0.0000043200002,0.00029785954,0.9513657,0.0457515,0.00050697173],"about_ca_topic_score_codex":0.000013496454,"about_ca_topic_score_gemma":0.000006424043,"teacher_disagreement_score":0.042037398,"about_ca_system_score_codex":0.00014818614,"about_ca_system_score_gemma":0.00021901594,"threshold_uncertainty_score":0.999649},"labels":[],"label_agreement":null},{"id":"W1202363313","doi":"10.48550/arxiv.1304.0531","title":"Algebraic supergroups and Harish-Chandra pairs over a commutative ring","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Commutative ring; Mathematics; Equivalence (formal languages); Pure mathematics; Algebraic number; Ring (chemistry); Class (philosophy); Torsion (gastropod); Construct (python library); Commutative property; Algebra over a field; Computer science; Chemistry; Mathematical analysis; Medicine","score_opus":0.08340538582047319,"score_gpt":0.21426990900163315,"score_spread":0.13086452318115996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1202363313","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98934394,0.00015108241,0.0068359426,0.000044181666,0.00070362125,0.00055718375,0.000021793438,0.00019724267,0.0021449935],"genre_scores_gemma":[0.998141,0.00016676309,0.00033184033,0.0000599133,0.00013934543,0.0000046138794,0.000015259211,0.0000640201,0.0010772448],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809384,0.00017200221,0.00028497342,0.00088339305,0.00013349346,0.0004322889],"domain_scores_gemma":[0.99807125,0.0004369364,0.00028497484,0.000839642,0.00014384706,0.00022336432],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00018179652,0.0005145102,0.0006588838,0.00017992865,0.00027202314,0.00014643004,0.00060095487,0.000518629,0.00032970446],"category_scores_gemma":[0.00010957803,0.0005403062,0.00023152216,0.0001986843,0.00025454696,0.00027042194,0.001725899,0.000909414,0.000023642117],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004327765,0.00005929287,0.0014479298,0.00022324169,0.00030203458,0.000072277544,0.001596583,0.00085095834,0.000009285197,0.9946927,0.00061943283,0.0000830044],"study_design_scores_gemma":[0.00096871593,0.0000584907,0.0010093455,0.00017151995,0.00023425093,0.0000060034786,0.0006382948,0.02029134,0.000039181974,0.9758976,0.00010207015,0.0005831732],"about_ca_topic_score_codex":0.000573559,"about_ca_topic_score_gemma":0.000057172067,"teacher_disagreement_score":0.01944038,"about_ca_system_score_codex":0.00018706472,"about_ca_system_score_gemma":0.000084791915,"threshold_uncertainty_score":0.99970484},"labels":[],"label_agreement":null},{"id":"W122117412","doi":"10.1090/crmp/030/01","title":"Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; Concordia University","funders":"","keywords":"Vertex (graph theory); Affine transformation; Mathematics; Vertex operator algebra; Pure mathematics; Algebra over a field; Operator algebra; Nest algebra; Algebra representation; Discrete mathematics; Jordan algebra; Non-associative algebra; Graph","score_opus":0.03425784278501807,"score_gpt":0.28395032698058065,"score_spread":0.2496924841955626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W122117412","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7100326,0.001411038,0.0070662843,0.004856381,0.004678669,0.011610838,0.00087691366,0.0007721168,0.2586952],"genre_scores_gemma":[0.99608696,0.000023863868,0.000679237,0.0006374166,0.00053486536,0.00017578519,0.00014929348,0.00023440593,0.0014781555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966736,0.000013876792,0.0010531148,0.0009341453,0.00067791576,0.00064735],"domain_scores_gemma":[0.9964522,0.0014421209,0.0006480085,0.00033339314,0.00088970026,0.0002345703],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00040819752,0.0007530223,0.001267855,0.0004976657,0.00018210671,0.00010170086,0.000526921,0.000968278,0.0006137611],"category_scores_gemma":[0.0056974073,0.00070343754,0.00034344057,0.0003307504,0.00008413176,0.00017660139,0.00023064898,0.0006674579,0.000012756468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020260086,0.000103202525,0.00023393791,0.00019652292,0.00026509783,0.000006660097,0.00101761,0.000060147846,0.0009191596,0.99540305,0.001019812,0.00057218526],"study_design_scores_gemma":[0.0014361279,0.00031726842,0.00026087777,0.0007901924,0.00026416086,0.0000093041845,0.000022422915,0.00018715589,0.0019815797,0.9929384,0.0011021981,0.00069030747],"about_ca_topic_score_codex":0.00004455565,"about_ca_topic_score_gemma":0.00011608028,"teacher_disagreement_score":0.2860544,"about_ca_system_score_codex":0.0002716914,"about_ca_system_score_gemma":0.0002517652,"threshold_uncertainty_score":0.9995417},"labels":[],"label_agreement":null},{"id":"W130235413","doi":"10.1007/978-3-642-12821-9_6","title":"Dagger Categories and Formal Distributions","year":2010,"lang":"en","type":"book-chapter","venue":"Lecture notes in physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; University of Ottawa","funders":"","keywords":"Principal ideal; Pure mathematics; Biproduct; Mathematics; Ideal (ethics); Category of groups; Hilbert space; Vertex (graph theory); Algebra over a field; Hopf algebra; Symmetric monoidal category; Closed category; Discrete mathematics; Concrete category; Combinatorics; Functor; Prime (order theory)","score_opus":0.0199094919367664,"score_gpt":0.26082035647700647,"score_spread":0.24091086454024008,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W130235413","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024175053,0.00323541,0.6965583,0.0014538036,0.014086466,0.003161978,0.000968428,0.0007488564,0.2556117],"genre_scores_gemma":[0.9878138,0.00009071998,0.0040466473,0.00014983761,0.003852112,0.000027805332,0.00020390986,0.00015738199,0.0036578318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988908,0.000008405905,0.00026938342,0.00031456823,0.00022017125,0.00029664524],"domain_scores_gemma":[0.9988834,0.00037681463,0.00016777223,0.00043320347,0.00007512602,0.00006366185],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000060707815,0.0003942446,0.00046615876,0.000037180234,0.0001457094,0.000055694523,0.00018107833,0.00065224833,0.00008340377],"category_scores_gemma":[0.000118109405,0.00033941856,0.00011878578,0.000038418046,0.00018961505,0.00010026603,0.00016136491,0.0011467391,0.0000054146512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000096346785,0.000011722007,0.00001053174,0.00006284894,0.000039367154,0.0000043695322,0.00026785576,0.000004128057,0.000027344393,0.9911372,0.000045901263,0.008379109],"study_design_scores_gemma":[0.00023266693,0.00003089027,0.000009920641,0.000056949695,0.00008215496,0.000008508859,0.0000013076688,0.000021412323,0.00092416804,0.9908716,0.0074005392,0.00035986054],"about_ca_topic_score_codex":0.000015579632,"about_ca_topic_score_gemma":0.0000759317,"teacher_disagreement_score":0.9636387,"about_ca_system_score_codex":0.000050276398,"about_ca_system_score_gemma":0.00006982446,"threshold_uncertainty_score":0.99990577},"labels":[],"label_agreement":null},{"id":"W1464068979","doi":"10.1007/s00208-017-1613-4","title":"On the derived categories of degree d hypersurface fibrations","year":2018,"lang":"en","type":"preprint","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Sheaf; Pure mathematics; Hypersurface; Functor; Degree (music); Coherent sheaf; Quadric; Dual polyhedron; Algebra over a field","score_opus":0.13625913820927577,"score_gpt":0.32118305649826795,"score_spread":0.18492391828899218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1464068979","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9730728,0.0002790651,0.0063614454,0.0015271162,0.0010343115,0.0010119429,0.00006398749,0.00013855108,0.016510723],"genre_scores_gemma":[0.990646,0.000032644202,0.007820589,0.00010619888,0.00026312564,0.00012926877,0.00001619627,0.00007791392,0.0009080337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99800014,0.00015568956,0.00060128194,0.00041759489,0.0005383318,0.00028693318],"domain_scores_gemma":[0.99629426,0.001211577,0.0006405685,0.0014982559,0.00028899423,0.00006633995],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00046114725,0.00042509762,0.00064925646,0.00007484164,0.0002113052,0.000088503584,0.00091992354,0.00036345082,0.0007532304],"category_scores_gemma":[0.0009338035,0.0002728971,0.00029688954,0.00012876798,0.00026746996,0.000059211972,0.00067008473,0.00053943036,0.000066004206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025089983,0.00007959323,0.000009084758,0.00041085752,0.0002558626,0.0000014853872,0.0027552266,0.000029719162,0.00016961223,0.9713879,0.024776267,0.000099259894],"study_design_scores_gemma":[0.00015439992,0.0000847917,0.000048600177,0.00034078778,0.0001316096,0.000004298581,0.0002538127,0.00028352317,0.010330625,0.98788804,0.00020072832,0.00027876138],"about_ca_topic_score_codex":0.000031261086,"about_ca_topic_score_gemma":0.000012719679,"teacher_disagreement_score":0.024575539,"about_ca_system_score_codex":0.000031060445,"about_ca_system_score_gemma":0.00016259187,"threshold_uncertainty_score":0.99997234},"labels":[],"label_agreement":null},{"id":"W1485202119","doi":"10.1090/s0002-9947-04-03541-x","title":"The peak algebra and the descent algebras of types B and D","year":2004,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Descent (aeronautics); Algebra over a field; Pure mathematics","score_opus":0.012084222416535772,"score_gpt":0.2556087576182876,"score_spread":0.24352453520175182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1485202119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9570234,0.0003156417,0.037257712,0.004586202,0.00008445703,0.0004589428,0.0000053420054,0.000026404086,0.00024193838],"genre_scores_gemma":[0.9947973,0.00024970746,0.004748348,0.00009540738,0.000018834133,0.000018283088,6.702133e-8,0.00001544358,0.000056630615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990168,0.00007978279,0.00033507516,0.0001265031,0.0002741086,0.0001677138],"domain_scores_gemma":[0.9980984,0.0011185603,0.00025867272,0.0004234324,0.0000551303,0.00004583157],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003868046,0.00013630664,0.00035368802,0.0000070100587,0.00036276545,0.000024160001,0.00030372836,0.000038214133,0.000014199588],"category_scores_gemma":[0.000119330856,0.00005922288,0.00028324188,0.00019199762,0.0026094662,0.000036264682,0.000042618576,0.0001948964,5.703408e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004636295,0.0000691059,0.000011533087,0.000089896595,0.00019939031,4.015862e-8,0.0028342598,0.00002034736,0.00008237046,0.9948754,0.00003839603,0.0017329447],"study_design_scores_gemma":[0.00069940306,0.000049850933,0.00034674216,0.000044331384,0.00021427935,0.000010686215,0.0018502208,0.00026072917,0.00094535144,0.9954732,0.00003180459,0.000073391115],"about_ca_topic_score_codex":0.00007718154,"about_ca_topic_score_gemma":0.000009425646,"teacher_disagreement_score":0.03777392,"about_ca_system_score_codex":0.000022716078,"about_ca_system_score_gemma":0.00003825293,"threshold_uncertainty_score":0.9614687},"labels":[],"label_agreement":null},{"id":"W1485654352","doi":"10.4171/qt/93","title":"Knot homology via derived categories of coherent sheaves IV, coloured links","year":2017,"lang":"en","type":"preprint","venue":"Quantum Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Homology (biology); Spectral sequence; Knot (papermaking); Cellular homology; Mathematics; Disjoint sets; Pure mathematics; Combinatorics; Genetics; Biology; Algebra over a field; Amino acid; Materials science; Cohomology; Composite material","score_opus":0.0555715616643462,"score_gpt":0.33706338475211944,"score_spread":0.28149182308777326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1485654352","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97929096,0.0010918892,0.004777059,0.0013891857,0.011221684,0.0008233754,0.00004927798,0.0001378718,0.0012187058],"genre_scores_gemma":[0.99745506,0.0001537871,0.0011499961,0.00007477062,0.000551477,0.00013005489,0.000050079838,0.000074668686,0.00036008333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971483,0.00034846575,0.0009315998,0.0007357349,0.00023346092,0.00060247735],"domain_scores_gemma":[0.99588674,0.00058940484,0.0013481791,0.00173071,0.00031223294,0.00013271933],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.00029924302,0.00057606166,0.0017469208,0.00016133852,0.00028850895,0.000043039854,0.0012694175,0.0025204944,0.0003753501],"category_scores_gemma":[0.00058998587,0.0005225694,0.0003649421,0.000043041622,0.0011563102,0.000039286522,0.0013151022,0.0015870754,0.00001525301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017945035,0.00014898348,0.00036807032,0.00045390995,0.00040076196,0.00004119794,0.0015064495,0.000014579297,0.00043575137,0.99462765,0.0013360651,0.00048710563],"study_design_scores_gemma":[0.0007322368,0.00040581598,0.0006432793,0.00006926865,0.00023982699,0.000055230394,0.00016729815,0.00037372246,0.002371321,0.994006,0.0004814184,0.00045462098],"about_ca_topic_score_codex":0.0011380849,"about_ca_topic_score_gemma":0.00019650788,"teacher_disagreement_score":0.018164132,"about_ca_system_score_codex":0.00010081176,"about_ca_system_score_gemma":0.00042356376,"threshold_uncertainty_score":0.9997226},"labels":[],"label_agreement":null},{"id":"W1491875468","doi":"10.1090/crmp/030/02","title":"Transformation laws for theta functions","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; Concordia University","funders":"","keywords":"Transformation (genetics); Conformal map; Modular invariance; Mathematics; Modular form; Pure mathematics; Modular design; Algebra over a field; Conformal field theory; Conformal symmetry; Computer science; Mathematical analysis","score_opus":0.041914493834875596,"score_gpt":0.273183187202179,"score_spread":0.23126869336730338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1491875468","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0005598777,0.00044955933,0.03620819,0.001047312,0.0011352857,0.0014975822,0.000058292288,0.00037405285,0.95866984],"genre_scores_gemma":[0.97090006,0.00015042609,0.00033995573,0.000315539,0.0037971346,0.0002590298,0.00015479124,0.0003670601,0.023716029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829495,0.0000022040015,0.0004933631,0.0004708855,0.0003645378,0.00037403294],"domain_scores_gemma":[0.99862915,0.0002550139,0.00036036945,0.00019735172,0.00045521406,0.000102925136],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015155843,0.0005783545,0.0006069599,0.0001628372,0.0003334246,0.00014444212,0.00028448788,0.00086850574,0.0003526605],"category_scores_gemma":[0.00022280267,0.00048123143,0.0004351524,0.0000619611,0.00006296538,0.00017890963,0.000031359064,0.0005505946,0.000017864166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065159664,0.000013425582,0.000001437642,0.00031625957,0.00012893579,3.7494863e-7,0.00074950384,0.0000026765977,0.000051680006,0.99337894,0.0007482267,0.0045433813],"study_design_scores_gemma":[0.0004173918,0.00014508565,8.8048e-7,0.00016733585,0.00037720057,0.0000234431,0.000022453973,0.00006367076,0.00036918334,0.8412665,0.1567029,0.000443922],"about_ca_topic_score_codex":0.0000038150783,"about_ca_topic_score_gemma":0.000008792941,"teacher_disagreement_score":0.97034013,"about_ca_system_score_codex":0.000109015404,"about_ca_system_score_gemma":0.000069639835,"threshold_uncertainty_score":0.99976397},"labels":[],"label_agreement":null},{"id":"W1501457444","doi":"10.48550/arxiv.1003.2352","title":"Lectures on extended affine Lie algebras","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Affine transformation; Affine Lie algebra; Mathematics; Lie algebra; Affine representation; Pure mathematics; Algebra over a field; Representation theory; Current algebra","score_opus":0.08163292398175656,"score_gpt":0.2215236038621577,"score_spread":0.13989067988040113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1501457444","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9804898,0.00004021759,0.005144915,0.00011503657,0.0028734817,0.0004957182,0.000020751766,0.00036009616,0.010459977],"genre_scores_gemma":[0.9953009,0.000052723553,0.00039312942,0.00015040423,0.00061424583,0.0000021064202,0.000020315721,0.00007832404,0.0033878717],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978914,0.00010855016,0.00027364283,0.0010858075,0.0001758728,0.00046471134],"domain_scores_gemma":[0.99743915,0.00033724043,0.00034070344,0.0015211327,0.00014751898,0.0002142305],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016489241,0.00058058894,0.000620158,0.0002338752,0.00019791134,0.000081963444,0.0010831889,0.00096188125,0.0007535291],"category_scores_gemma":[0.00023061108,0.000576079,0.00040488553,0.00024496755,0.0001441351,0.0000741921,0.0008675674,0.0018072132,0.00007635091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014112642,0.00015109203,0.00004617263,0.0000872402,0.00016298468,0.00012781088,0.00011874971,0.002350044,0.000059668982,0.99474883,0.0016914706,0.000314833],"study_design_scores_gemma":[0.0007335098,0.000104413404,0.00025239764,0.00008821478,0.00020288989,0.000004568868,0.000031334068,0.002173838,0.00071838434,0.9942122,0.0008741319,0.0006041074],"about_ca_topic_score_codex":0.000077096876,"about_ca_topic_score_gemma":0.00007942986,"teacher_disagreement_score":0.014811074,"about_ca_system_score_codex":0.00016389713,"about_ca_system_score_gemma":0.00018021409,"threshold_uncertainty_score":0.9996691},"labels":[],"label_agreement":null},{"id":"W1503841575","doi":"10.1007/s10468-019-09897-1","title":"Generalized Oscillator Representations of the Twisted Heisenberg-Virasoro Algebra","year":2019,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Tensor product; Simple (philosophy); Algebra over a field; Simple module; Lie algebra; Tensor (intrinsic definition); Product (mathematics)","score_opus":0.019074664331608097,"score_gpt":0.2894056958355725,"score_spread":0.2703310315039644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1503841575","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99303454,0.00028142228,0.00033779998,0.00033555922,0.0010227828,0.00067904615,0.000008247913,0.00006021419,0.0042403727],"genre_scores_gemma":[0.9951944,0.00004627464,0.00056905637,0.00018460973,0.00011336133,0.000027350196,0.000006688447,0.00003547174,0.003822824],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980379,0.00040379152,0.00051621,0.00040477634,0.00041459355,0.00022274192],"domain_scores_gemma":[0.9977554,0.0007984261,0.00036870397,0.00085966877,0.00013764418,0.00008016542],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003727541,0.00020454133,0.0003552595,0.00007669699,0.00017196975,0.00004561492,0.00030037697,0.00012813981,0.00055435835],"category_scores_gemma":[0.00037219285,0.00013781364,0.00020287135,0.00035176144,0.00021378185,0.00016970206,0.0002046295,0.00015733705,0.000012708378],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007272418,0.000037746282,0.009642113,0.00004204361,0.00012112955,5.9563234e-7,0.00091590907,0.000024723184,0.0033937497,0.9846556,0.000537706,0.00055591424],"study_design_scores_gemma":[0.0010994184,0.00003386848,0.016361577,0.00003178597,0.00009018895,0.000012283877,0.00077485444,0.00011486372,0.010487844,0.970595,0.00022243465,0.00017589677],"about_ca_topic_score_codex":0.000075733195,"about_ca_topic_score_gemma":0.0000059584186,"teacher_disagreement_score":0.014060661,"about_ca_system_score_codex":0.000021745498,"about_ca_system_score_gemma":0.000054728698,"threshold_uncertainty_score":0.60698354},"labels":[],"label_agreement":null},{"id":"W1507301859","doi":"10.70930/tac/6p98o499","title":"Compositories and Gleaves","year":2016,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministero dello Sviluppo Economico; Institut Périmètre de physique théorique; Industry Canada; Government of Canada; John Templeton Foundation","keywords":"Morphism; Mathematics; Distributive property; Sheaf; Pure mathematics; Cartesian closed category; Cartesian product; Algebra over a field; Discrete mathematics","score_opus":0.010818941062555707,"score_gpt":0.2635897204811397,"score_spread":0.252770779418584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1507301859","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9402373,0.0012216471,0.0547095,0.00027882252,0.00008760104,0.00026624638,0.0000120601435,0.00006649689,0.0031203327],"genre_scores_gemma":[0.9989336,0.00009613576,0.00043206895,0.000008224627,0.00008721886,0.000041511063,4.838405e-7,0.0000063156112,0.00039442343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963766,0.000029579533,0.000116380004,0.00009734208,0.000054093653,0.000064914784],"domain_scores_gemma":[0.9991286,0.00058018416,0.00005775245,0.00016187766,0.000041862215,0.00002971957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013221959,0.00006782094,0.000119836004,0.000019791323,0.00009750212,0.000011540155,0.00007005469,0.000027909611,0.000014205538],"category_scores_gemma":[0.000038577717,0.000041588915,0.000014084827,0.00004215692,0.00034293177,0.00006423242,0.000045364395,0.000021929673,6.6366925e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030230342,0.000009831291,0.00018553463,0.000028007977,0.000014017142,3.2756745e-8,0.00025598006,1.5309851e-8,0.0014080121,0.9884435,0.000030363208,0.009594455],"study_design_scores_gemma":[0.00015205273,0.000018717581,0.00025347446,0.000008936247,0.000020904232,0.000003074841,0.00026557743,1.8105543e-7,0.014818558,0.982728,0.0016702054,0.000060335788],"about_ca_topic_score_codex":0.0000028893116,"about_ca_topic_score_gemma":5.985316e-7,"teacher_disagreement_score":0.058696326,"about_ca_system_score_codex":0.0000028908414,"about_ca_system_score_gemma":0.000008437936,"threshold_uncertainty_score":0.16959468},"labels":[],"label_agreement":null},{"id":"W1507724026","doi":"10.1016/j.aim.2011.08.005","title":"Monoidality of Frankeʼs exotic model","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics","score_opus":0.09223806930534004,"score_gpt":0.31445502126981717,"score_spread":0.22221695196447713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1507724026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8652102,0.0006909839,0.098551326,0.000008933683,0.00032714498,0.00038762917,0.0000056714657,0.00007919924,0.03473895],"genre_scores_gemma":[0.8345562,0.00009810254,0.16517557,0.000011011849,0.000018106291,0.000018348906,3.962241e-7,0.000023823977,0.00009839115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986752,0.000026959722,0.0006120671,0.00018872511,0.000263786,0.00023322806],"domain_scores_gemma":[0.99886495,0.00022987206,0.0002778005,0.0005146388,0.000065402804,0.000047311518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002775433,0.00017936765,0.00043400258,0.00007285133,0.000027904036,0.000004865958,0.0003460285,0.00009792187,0.00009375784],"category_scores_gemma":[0.00027091574,0.00015275646,0.00009036042,0.00017089809,0.000098200624,0.000231509,0.000080140475,0.00014465726,0.0000044303115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013181315,0.00031835117,0.00031816444,0.00041456104,0.000011677017,0.0000028639395,0.004407754,0.0003438448,0.00002285499,0.9935847,0.000010109622,0.0005519583],"study_design_scores_gemma":[0.00038333875,0.000030076599,0.000076450364,0.000091764006,0.00002339777,0.0000037989219,0.00037671832,0.016124783,0.0011677634,0.98155487,0.000009725052,0.00015734426],"about_ca_topic_score_codex":0.0000064381547,"about_ca_topic_score_gemma":0.000010539477,"teacher_disagreement_score":0.06662425,"about_ca_system_score_codex":0.000028043898,"about_ca_system_score_gemma":0.000028207454,"threshold_uncertainty_score":0.6229228},"labels":[],"label_agreement":null},{"id":"W1511064997","doi":"10.1088/1751-8113/48/39/395205","title":"The fusion rules for the Temperley–Lieb algebra and its dilute generalization","year":2015,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Fonds de recherche du Québec – Nature et technologies","keywords":"Fusion rules; Generalization; Limiting; Quantum; Vector space; Lattice (music); Fusion; Limit (mathematics); Invariant (physics); Space (punctuation)","score_opus":0.032889278351452014,"score_gpt":0.29021196599297366,"score_spread":0.25732268764152166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1511064997","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9267634,0.0011260553,0.06764264,0.0034335402,0.00038232704,0.00041131984,0.0000046953546,0.0000140215125,0.00022199542],"genre_scores_gemma":[0.996746,0.00015780258,0.0022835077,0.00007828056,0.0006590897,0.000011160076,4.4262768e-7,0.00002154882,0.000042192467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998826,0.00008378152,0.0004197043,0.00010555052,0.0003758237,0.00018913813],"domain_scores_gemma":[0.9970682,0.0021297873,0.000215674,0.00015351194,0.00027433713,0.00015844588],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000996687,0.00015029834,0.00028937077,0.000014068886,0.0002649811,0.0001430655,0.00020519836,0.00007332797,0.00000985514],"category_scores_gemma":[0.0010627498,0.00006493418,0.00010988086,0.000056802342,0.0003353064,0.0000952005,0.00010985038,0.00017392819,0.0000013790288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008991395,0.000052816693,0.000002791916,0.000048072474,0.000060272163,9.770213e-7,0.00054213294,0.0000022391978,0.00006199382,0.99683523,0.00031291952,0.0019906252],"study_design_scores_gemma":[0.0006663541,0.00018850497,0.000006753758,0.000053787553,0.00015373484,0.00006685692,0.00025296691,0.01281065,0.00044427032,0.9850112,0.00025355216,0.00009132407],"about_ca_topic_score_codex":1.9275494e-7,"about_ca_topic_score_gemma":9.883561e-8,"teacher_disagreement_score":0.06998257,"about_ca_system_score_codex":0.000014806837,"about_ca_system_score_gemma":0.000042878535,"threshold_uncertainty_score":0.2647939},"labels":[],"label_agreement":null},{"id":"W1512448811","doi":"10.3842/sigma.2015.051","title":"From Jack to Double Jack Polynomials via the Supersymmetric Bridge","year":2015,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebra over a field; Mathematical physics; Pure mathematics; Physics; Combinatorics","score_opus":0.09131492000320769,"score_gpt":0.40227256043732795,"score_spread":0.3109576404341203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1512448811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6267861,0.0013318151,0.3647986,0.0032316584,0.00045298747,0.0014584466,0.00008995802,0.00010918571,0.0017412567],"genre_scores_gemma":[0.88965476,0.00005006183,0.108518705,0.00047980045,0.0006412598,0.00036438578,0.00001551565,0.000033117583,0.00024239467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977383,0.00036203497,0.00054261414,0.0007047405,0.00029363378,0.00035868696],"domain_scores_gemma":[0.9955816,0.0025937078,0.00013398405,0.0009986503,0.00022880721,0.00046321817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025878996,0.0003141451,0.0005424045,0.00023128532,0.00033604229,0.00017300452,0.00043854746,0.00022292453,0.00007506478],"category_scores_gemma":[0.0012516236,0.00021368462,0.00012776913,0.0016367314,0.00025638676,0.00012462962,0.00031700407,0.00040766606,0.000021037016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010313465,0.00017321945,0.0019109953,0.000050717546,0.00012249453,2.9909822e-7,0.0011920932,0.000001343609,0.00029669382,0.75808686,0.002050651,0.2360115],"study_design_scores_gemma":[0.0006139424,0.000090276146,0.0022869413,0.000010890835,0.00010889287,0.000008569877,0.0012998863,0.000083396,0.0016560934,0.97018695,0.023370303,0.00028385056],"about_ca_topic_score_codex":0.0018903511,"about_ca_topic_score_gemma":0.000029049275,"teacher_disagreement_score":0.26286867,"about_ca_system_score_codex":0.00007811862,"about_ca_system_score_gemma":0.00006224008,"threshold_uncertainty_score":0.87138057},"labels":[],"label_agreement":null},{"id":"W1518700293","doi":"10.1080/00927872.2021.1912760","title":"Approximations of injective modules and finitistic dimension","year":2021,"lang":"en","type":"preprint","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Indecomposable module; Dimension (graph theory); Injective function; Lambda; Mathematics; Global dimension; Finitely-generated abelian group; Combinatorics; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.07988283378353835,"score_gpt":0.34633111382234466,"score_spread":0.26644828003880633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1518700293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9859696,0.0044324924,0.0055544754,0.0003947297,0.0003462499,0.00068396254,0.000044912995,0.00006120785,0.002512362],"genre_scores_gemma":[0.93347734,0.0009151979,0.06526002,0.000018287137,0.000019124256,0.00015173896,0.00010675519,0.000027698507,0.000023861681],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984965,0.00029783958,0.0005826685,0.00030314524,0.00017905529,0.00014079595],"domain_scores_gemma":[0.9957699,0.0011263738,0.00034309272,0.002494553,0.00022361644,0.000042475047],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024478714,0.00021263042,0.00050199014,0.00018507082,0.00011840795,0.000051072882,0.0007794847,0.00027905064,0.00001998955],"category_scores_gemma":[0.00089054886,0.00022714258,0.000086980595,0.00021947146,0.00028493823,0.000066187924,0.003001442,0.0006989762,6.69089e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000044140656,0.00017035373,0.0003047792,0.00022883872,0.00005661928,8.7738283e-7,0.0024633347,0.000045878885,0.000024595753,0.9953013,0.000051155523,0.0013478321],"study_design_scores_gemma":[0.00025310178,0.000015669342,0.0027124537,0.00053844857,0.00006866055,0.000004870816,0.0007091986,0.004192576,0.00012598235,0.9911692,0.000015050384,0.00019479007],"about_ca_topic_score_codex":0.00012052456,"about_ca_topic_score_gemma":0.00011198984,"teacher_disagreement_score":0.059705548,"about_ca_system_score_codex":0.00007940991,"about_ca_system_score_gemma":0.00013123955,"threshold_uncertainty_score":0.92626053},"labels":[],"label_agreement":null},{"id":"W1518786433","doi":"10.1090/conm/546/10789","title":"A super version of the Connes-Moscovici Hopf algebra","year":2011,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Hopf algebra; Algebra over a field; Representation theory of Hopf algebras; Pure mathematics; Filtered algebra; Division algebra","score_opus":0.03724080802148332,"score_gpt":0.2738027609387684,"score_spread":0.23656195291728505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1518786433","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0101849865,0.0011174075,0.014365624,0.00038492485,0.0013441019,0.003986944,0.00031228835,0.0009800708,0.96732366],"genre_scores_gemma":[0.36301082,0.00036341345,0.13693428,0.0013352067,0.0014885064,0.0005193545,0.00008346741,0.0048639406,0.49140102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953855,0.00023927864,0.0015678436,0.00079347834,0.001306985,0.0007068913],"domain_scores_gemma":[0.99330777,0.0013177178,0.0024311552,0.0024885812,0.00016761689,0.00028713656],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006723618,0.0011032778,0.0025681641,0.00011299261,0.00018768157,0.000058200225,0.0018486886,0.0006939632,0.004737248],"category_scores_gemma":[0.0007755151,0.0007318041,0.0017403513,0.0006832474,0.001970578,0.00010215358,0.0008334,0.00066517945,0.00019262983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016016473,0.0005603867,0.00003630488,0.0023888971,0.00069391495,0.0000032377422,0.0033501543,8.311786e-8,0.000036869038,0.53305584,0.45976612,0.00009215617],"study_design_scores_gemma":[0.0009755985,0.00018151499,0.000008168962,0.001961996,0.0004939162,0.000019616515,0.0032375595,0.00019231976,0.0003160319,0.9645788,0.027046498,0.0009879753],"about_ca_topic_score_codex":0.00018259467,"about_ca_topic_score_gemma":0.0000072193748,"teacher_disagreement_score":0.47592264,"about_ca_system_score_codex":0.000120884055,"about_ca_system_score_gemma":0.00038878503,"threshold_uncertainty_score":0.9995133},"labels":[],"label_agreement":null},{"id":"W1520283655","doi":"10.1017/s1474748016000189","title":"W-ALGEBRAS FROM HEISENBERG CATEGORIES","year":2016,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Quotient; Fock space; TRACE (psycholinguistics); Action (physics); Algebra over a field; Space (punctuation)","score_opus":0.02901667111795494,"score_gpt":0.2692628073284843,"score_spread":0.24024613621052934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1520283655","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913296,0.00021347613,0.004193638,0.000907611,0.0024719918,0.00013831013,0.000015835778,0.000009782317,0.0007197655],"genre_scores_gemma":[0.9739346,0.00005091026,0.025456212,0.000020635967,0.00029242705,8.0328874e-7,1.5577632e-7,0.00002532299,0.00021897044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976472,0.000047059842,0.001283238,0.000104277475,0.00074894016,0.00016926523],"domain_scores_gemma":[0.99606794,0.00057811313,0.002257837,0.0006348702,0.00038012885,0.00008109823],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004661505,0.000205304,0.00073384895,0.0000899221,0.00006320304,0.000014448636,0.0009848627,0.0001264677,0.0000728232],"category_scores_gemma":[0.0013101826,0.00009509978,0.00043426268,0.00015221557,0.00033217468,0.00029686015,0.00017606934,0.00016974697,0.0000024702326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055361288,0.00027249186,0.00024786865,0.00023357967,0.00035923612,0.000005835298,0.0011800262,0.000022895723,0.0098449215,0.98539203,0.0016645325,0.0007212354],"study_design_scores_gemma":[0.00089741417,0.00008411511,0.00018418327,0.00081486587,0.00021606368,0.00003841791,0.0001732637,0.000010226854,0.057524644,0.9393715,0.0005687266,0.00011657347],"about_ca_topic_score_codex":0.000022484843,"about_ca_topic_score_gemma":0.0000094464585,"teacher_disagreement_score":0.047679722,"about_ca_system_score_codex":0.0000531985,"about_ca_system_score_gemma":0.00022727613,"threshold_uncertainty_score":0.38780564},"labels":[],"label_agreement":null},{"id":"W1524653948","doi":"10.1090/conm/585/11615","title":"Classifying Hopf algebras of a given dimension","year":2013,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"Agencia Nacional de Promoción Científica y Tecnológica; Ministerio de Ciencia y Tecnología; Fondo para la Investigación Científica y Tecnológica; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Mathematics; Hopf algebra; Dimension (graph theory); Pure mathematics; Algebra over a field","score_opus":0.04548719788049889,"score_gpt":0.2957447883367063,"score_spread":0.25025759045620743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1524653948","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009922635,0.0019164102,0.05477844,0.0005883238,0.0009167236,0.00518192,0.00017821522,0.0019429662,0.9245744],"genre_scores_gemma":[0.11220867,0.00036762116,0.43844432,0.0005257977,0.0012291893,0.00065935514,0.00010629653,0.0042952686,0.44216347],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9947368,0.00019008854,0.0019484067,0.0009220895,0.0013878657,0.0008147409],"domain_scores_gemma":[0.99270785,0.001571922,0.0031872035,0.0019190591,0.00019044845,0.00042351757],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006204222,0.001240035,0.0033762122,0.00020384022,0.00015734459,0.00009810607,0.0011147022,0.0007803349,0.0032590842],"category_scores_gemma":[0.0006126,0.0010008502,0.0013936957,0.00061835145,0.0013458956,0.0001431616,0.00060716073,0.0008362869,0.00026559812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007544295,0.0005297315,0.000014558325,0.0034188235,0.0007722803,0.0000056213034,0.0018398768,2.2912418e-7,0.000082950515,0.4813709,0.5116694,0.00028808234],"study_design_scores_gemma":[0.000951939,0.00025798293,0.000003957028,0.0025620328,0.0003896526,0.000019749357,0.0029444715,0.0017773042,0.00015470214,0.9716421,0.018018356,0.0012777771],"about_ca_topic_score_codex":0.00012990808,"about_ca_topic_score_gemma":0.000002267177,"teacher_disagreement_score":0.49365106,"about_ca_system_score_codex":0.00014445734,"about_ca_system_score_gemma":0.00027256014,"threshold_uncertainty_score":0.9992442},"labels":[],"label_agreement":null},{"id":"W1525024589","doi":"10.1016/j.jalgebra.2015.05.025","title":"Weight modules for current algebras","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Current (fluid); Pure mathematics; Algebra over a field; Electrical engineering","score_opus":0.07451374761038386,"score_gpt":0.33504525345274017,"score_spread":0.2605315058423563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1525024589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9586006,0.002990057,0.029508373,0.0008035395,0.007221979,0.00030562017,0.0000061096866,0.000038486505,0.00052528],"genre_scores_gemma":[0.9826426,0.000057915633,0.014623106,0.00007866433,0.0024267961,0.000007885051,0.0000013044527,0.000043338678,0.00011842753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839634,0.00004998264,0.0006465175,0.00013343772,0.0005131444,0.0002606022],"domain_scores_gemma":[0.998057,0.00025485287,0.0005781478,0.00023273754,0.000596389,0.00028087868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060907536,0.00018348136,0.000434752,0.0001234972,0.0000592803,0.00005166759,0.00037767083,0.00009197487,0.000037893496],"category_scores_gemma":[0.00068645657,0.0001340284,0.00029023085,0.00011465973,0.000040532494,0.00023626514,0.00005518555,0.0002409513,0.0000061701116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015124718,0.00012185066,0.00012651886,0.00004945517,0.000101083475,0.000005824077,0.0004640769,0.000008839193,0.000034253415,0.93689114,0.054481912,0.007563788],"study_design_scores_gemma":[0.0017415163,0.00033075284,0.00007897106,0.00006422174,0.00010050705,0.000070756214,0.00009983705,0.00009792729,0.0009414903,0.97037196,0.025943121,0.00015892198],"about_ca_topic_score_codex":0.0000012892926,"about_ca_topic_score_gemma":9.0497684e-7,"teacher_disagreement_score":0.033480827,"about_ca_system_score_codex":0.00009351418,"about_ca_system_score_gemma":0.00018582046,"threshold_uncertainty_score":0.54655194},"labels":[],"label_agreement":null},{"id":"W1542924709","doi":"10.1016/j.nuclphysb.2005.10.033","title":"A quasi-particle description of the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"script\">M</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> models","year":2005,"lang":"lv","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Type (biology); Dimension (graph theory); Mathematical physics; Basis (linear algebra); Conformal map; Operator (biology); Physics; Tensor (intrinsic definition); Mathematics; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.023718147212703447,"score_gpt":0.23501881366155913,"score_spread":0.2113006664488557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1542924709","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97950697,0.0011568816,0.0018284376,0.00091574056,0.0037931092,0.000275403,0.00076886074,0.00057283294,0.011181786],"genre_scores_gemma":[0.9874118,0.0008581312,0.003562027,0.0017175182,0.0037865664,0.0006360418,0.00037572955,0.0014539965,0.00019818994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.98541796,0.00079887465,0.003280022,0.0027976865,0.0042075226,0.0034979405],"domain_scores_gemma":[0.98962253,0.0012796394,0.0034920687,0.0036601312,0.0005525426,0.0013930638],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.002207463,0.0018446865,0.0010892575,0.00040760692,0.002577097,0.0021467642,0.003657567,0.0031514748,0.0040833345],"category_scores_gemma":[0.0011451652,0.0027233819,0.0031127715,0.0016818319,0.0019401879,0.0027642632,0.002940842,0.0029861778,0.002472469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016300025,0.0015216853,0.0000097324555,0.001384817,0.0022767629,0.00026086823,0.007205271,0.006073706,0.005668805,0.93672496,0.032946527,0.004296876],"study_design_scores_gemma":[0.0039305342,0.0023209418,0.00003189679,0.0017962436,0.002949517,0.00063195726,0.0041028843,0.40487617,0.25397575,0.31992972,0.0027714893,0.0026829003],"about_ca_topic_score_codex":0.0023883292,"about_ca_topic_score_gemma":0.00056342786,"teacher_disagreement_score":0.6167952,"about_ca_system_score_codex":0.00012304186,"about_ca_system_score_gemma":0.0014756377,"threshold_uncertainty_score":0.99942976},"labels":[],"label_agreement":null},{"id":"W1546574518","doi":"10.1023/a:1021856522624","title":"Lie Representations and an Algebra Containing Solomon's","year":2002,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Hopf algebra; Quantum group; Universal enveloping algebra; Pure mathematics; Graded Lie algebra; Algebra over a field; Cellular algebra; Representation theory of Hopf algebras; Filtered algebra; Algebra representation","score_opus":0.05396615234853254,"score_gpt":0.317109507567044,"score_spread":0.26314335521851145,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1546574518","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99313027,0.001212854,0.00078939565,0.0007049544,0.0015919933,0.00018444279,0.000001892905,0.00006342302,0.002320807],"genre_scores_gemma":[0.99751586,0.00022453374,0.0013588065,0.00014278547,0.0004230029,0.000004492007,8.7006066e-7,0.000050751154,0.0002788815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976412,0.00016861947,0.0008910308,0.00027406667,0.0006543435,0.00037073853],"domain_scores_gemma":[0.997279,0.00067406386,0.0007940993,0.00044626454,0.00043122232,0.00037537678],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005882293,0.00028389227,0.00059993967,0.0002483931,0.00025962453,0.00015281749,0.00043750822,0.00018764289,0.0002362574],"category_scores_gemma":[0.000815062,0.00025105645,0.000180323,0.00036560989,0.00011663406,0.00065855874,0.00012357169,0.00056147896,0.0000059437407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037778496,0.00027827884,0.00086923945,0.000030349624,0.0001221799,0.00007726601,0.002422508,0.0000031982772,0.000092845126,0.99183756,0.0025348472,0.0016939574],"study_design_scores_gemma":[0.0018159446,0.0009514873,0.0008232833,0.000048734528,0.00013587401,0.00036134213,0.0008720125,0.0003897747,0.00017598168,0.99343914,0.0007074662,0.00027895143],"about_ca_topic_score_codex":0.000009184182,"about_ca_topic_score_gemma":0.000002706649,"teacher_disagreement_score":0.00438564,"about_ca_system_score_codex":0.00009644133,"about_ca_system_score_gemma":0.000055972763,"threshold_uncertainty_score":0.99999416},"labels":[],"label_agreement":null},{"id":"W1550696629","doi":"10.1016/j.aim.2016.02.008","title":"Resolutions in factorization categories","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"European Research Council; Austrian Science Fund; National Science Foundation","keywords":"Morphism; Factorization; Construct (python library); Lift (data mining); Abelian group; Mathematics; Algebra over a field; Pure mathematics; Matrix decomposition; Computer science; Algorithm; Data mining","score_opus":0.03322411852640995,"score_gpt":0.3349494892855135,"score_spread":0.30172537075910355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1550696629","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31512272,0.011814917,0.5863721,0.0010161074,0.014682205,0.0049458593,0.00020079315,0.000808537,0.065036796],"genre_scores_gemma":[0.97837317,0.0012181887,0.019443413,0.0000124706785,0.00025762143,0.00020478765,0.000016631839,0.00007357071,0.00040015037],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978743,0.00007787713,0.0008700058,0.00042262237,0.00037594396,0.0003792061],"domain_scores_gemma":[0.9979757,0.00069756847,0.00044641062,0.0007444852,0.00008581644,0.000050027757],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003257352,0.0003684257,0.00065612415,0.00025336325,0.000050867417,0.000044949848,0.0004955433,0.00039861494,0.00006577005],"category_scores_gemma":[0.00087502453,0.00029599358,0.00010030529,0.00023212741,0.00009699933,0.00024653124,0.00043480503,0.0005345409,0.0000090519625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006534499,0.000107181615,0.0005723837,0.0007036172,0.000010516553,0.0000056300387,0.0019690043,0.00029896098,0.0000065293034,0.99563086,0.000047396148,0.0006413978],"study_design_scores_gemma":[0.00036858712,0.000013101542,0.00011991541,0.0008761112,0.000017847802,0.0000021946696,0.00028383787,0.00052344654,0.00007899813,0.99683374,0.000539621,0.00034258334],"about_ca_topic_score_codex":0.000012285777,"about_ca_topic_score_gemma":0.00013996175,"teacher_disagreement_score":0.66325045,"about_ca_system_score_codex":0.00030984188,"about_ca_system_score_gemma":0.00011913646,"threshold_uncertainty_score":0.9999492},"labels":[],"label_agreement":null},{"id":"W1551849151","doi":"10.1090/fic/043/08","title":"Quantum categories, star autonomy, and quantum groupoids","year":2004,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Star (game theory); Quantum; Autonomy; Physics; Astrophysics; Quantum mechanics; Political science","score_opus":0.02211233644911867,"score_gpt":0.26494368799609064,"score_spread":0.24283135154697197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1551849151","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0046265717,0.0048833992,0.00708377,0.00042622592,0.006322539,0.0017098646,0.000078960154,0.002126265,0.9727424],"genre_scores_gemma":[0.07406548,0.0003317321,0.0051490557,0.00020986395,0.0015076132,0.00006711175,0.00005390628,0.0014413059,0.9171739],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984455,0.000033674158,0.0003397076,0.0004954853,0.00029597327,0.00038964878],"domain_scores_gemma":[0.9989158,0.00008345092,0.00022765425,0.0005909418,0.000030260815,0.00015187093],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00010129789,0.00049766497,0.000663538,0.00014782768,0.000074255884,0.00007755109,0.00028117842,0.0005729794,0.0031934972],"category_scores_gemma":[0.000044966193,0.0003995491,0.00010491171,0.0001032257,0.00012736626,0.00004638771,0.00015145745,0.00031027486,0.00004380263],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000059289428,0.000029101499,0.000006648288,0.00019549065,0.00009843405,0.000008592417,0.00016241256,9.38904e-8,0.000001170795,0.88441277,0.114965014,0.0001143588],"study_design_scores_gemma":[0.00048841746,0.000071075476,0.000007206535,0.0000851315,0.00006847234,0.000009708333,0.00008241834,0.000037583093,0.000007106671,0.7963371,0.20239373,0.00041202697],"about_ca_topic_score_codex":0.0023841625,"about_ca_topic_score_gemma":0.00027271212,"teacher_disagreement_score":0.08807562,"about_ca_system_score_codex":0.00013778552,"about_ca_system_score_gemma":0.00032388882,"threshold_uncertainty_score":0.9998456},"labels":[],"label_agreement":null},{"id":"W1553877756","doi":"10.1016/j.aim.2016.03.014","title":"A combinatorial geometric Satake equivalence","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Morphism; Equivalence (formal languages); Mathematics; Pure mathematics; Affine transformation; Equivalence of categories; Langlands dual group; Grassmannian; Algebra over a field; Functor","score_opus":0.03781412698544205,"score_gpt":0.33694219991894564,"score_spread":0.2991280729335036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1553877756","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46500987,0.031274386,0.2587115,0.00078688236,0.07099118,0.008473935,0.00045072497,0.0019544354,0.16234711],"genre_scores_gemma":[0.9717389,0.002288169,0.023966376,0.000035463134,0.0011271891,0.0002801129,0.000011136728,0.00017255727,0.0003800944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960645,0.00010795458,0.0012842914,0.00081603497,0.0009908053,0.000736424],"domain_scores_gemma":[0.99515843,0.0019672178,0.0009489541,0.0015998774,0.00017944342,0.0001460654],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007539967,0.00070904964,0.001286298,0.00049192423,0.000089999194,0.00009792909,0.001453491,0.0006423634,0.00022329106],"category_scores_gemma":[0.0022149556,0.00055791554,0.00029440955,0.0005341884,0.00018865327,0.00030334314,0.0014271453,0.0009582337,0.00004121232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020918458,0.00023846139,0.00012678749,0.0018708347,0.000042657724,0.000021927652,0.00048583845,0.00005518822,0.0000047055546,0.9926828,0.00016998811,0.004279861],"study_design_scores_gemma":[0.0009963111,0.000053845026,0.00002663048,0.001533716,0.000068874695,0.000010477105,0.00010257959,0.00025367204,0.00014802685,0.99486625,0.0012547984,0.0006847928],"about_ca_topic_score_codex":0.0000045749534,"about_ca_topic_score_gemma":0.000005504775,"teacher_disagreement_score":0.506729,"about_ca_system_score_codex":0.0003297954,"about_ca_system_score_gemma":0.00017741033,"threshold_uncertainty_score":0.99968725},"labels":[],"label_agreement":null},{"id":"W1556213679","doi":"10.1007/s10468-015-9551-x","title":"On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra","year":2015,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Fonds de recherche du Québec – Nature et technologies; Université de Sherbrooke; Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas; University of Connecticut; National Science Foundation","keywords":"Quiver; Mathematics; Cohomology; Bimodule; Vector space; Group (periodic table); Invariant (physics); Pure mathematics; Combinatorics; Algebra over a field; Chemistry","score_opus":0.0346856136299606,"score_gpt":0.2889104185370155,"score_spread":0.2542248049070549,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1556213679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9906418,0.00022373987,0.0030750723,0.0013957435,0.0005622934,0.00044508293,0.0000035276018,0.000052296953,0.0036004488],"genre_scores_gemma":[0.9986435,0.000018190178,0.00023207143,0.00068700686,0.00015282146,0.00003428484,0.000005585835,0.000024305748,0.00020221343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986099,0.00031535947,0.00033745772,0.00027012374,0.00028605544,0.00018107373],"domain_scores_gemma":[0.9971748,0.0019499662,0.00022864663,0.00046108145,0.00009722984,0.00008829801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071488443,0.0001675461,0.00026909896,0.0000705478,0.00014564434,0.000029881681,0.00022261364,0.000118336735,0.00009026887],"category_scores_gemma":[0.0008451443,0.00010453122,0.00008373501,0.00016816972,0.00026742235,0.00008081622,0.00012493027,0.00016447098,0.000008194528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024944328,0.00006542365,0.00040698945,0.000016888163,0.00008773655,0.0000017814066,0.0014969669,0.000013320221,0.000018687495,0.9943168,0.0029002517,0.00042570248],"study_design_scores_gemma":[0.0010274324,0.00020043002,0.0009535169,0.000026932292,0.000053454365,0.00001972222,0.0009424387,0.00011343248,0.00054443243,0.99581796,0.00017792931,0.00012231042],"about_ca_topic_score_codex":0.000040956358,"about_ca_topic_score_gemma":0.00001074831,"teacher_disagreement_score":0.008001726,"about_ca_system_score_codex":0.000017699935,"about_ca_system_score_gemma":0.000025664422,"threshold_uncertainty_score":0.42626593},"labels":[],"label_agreement":null},{"id":"W1556803168","doi":"10.1007/s00209-015-1585-6","title":"A coproduct structure on the formal affine Demazure algebra","year":2015,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Mathematics; Coproduct; Pure mathematics; Cohomology; Algebra over a field; Context (archaeology); Variety (cybernetics); Affine transformation; Formal group; Algebraic group; Algebraic structure; Algebraic number; Mathematical analysis","score_opus":0.04460940058365767,"score_gpt":0.2712047015935865,"score_spread":0.22659530100992883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1556803168","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85027134,0.015041493,0.0034254408,0.01845033,0.021636268,0.007736421,0.00067300035,0.0012127163,0.08155298],"genre_scores_gemma":[0.9866415,0.00006976118,0.0033542537,0.001291213,0.0048764306,0.000105506304,0.000056745957,0.00030229983,0.0033022796],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9933741,0.0004624043,0.0013787355,0.0011395906,0.0020652711,0.00157991],"domain_scores_gemma":[0.99399245,0.0010914205,0.0009014317,0.0028533495,0.0005174259,0.00064393255],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0015395745,0.001338937,0.0014121103,0.00019330237,0.0007157255,0.00055371324,0.0018527138,0.00086709345,0.0024065794],"category_scores_gemma":[0.0029020945,0.0008357887,0.0004943911,0.00075780606,0.0003410352,0.0005048091,0.0008242459,0.0018196539,0.0017776738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001851663,0.00024939288,0.000027187003,0.0003443642,0.00059633807,0.000034705605,0.0053730924,0.000060660484,0.00010755081,0.87596303,0.11597549,0.0010830234],"study_design_scores_gemma":[0.0025788476,0.0007153931,0.000039592724,0.00063898094,0.00083432684,0.0001275891,0.0014597613,0.0009573889,0.005371824,0.79468524,0.19126353,0.001327521],"about_ca_topic_score_codex":0.000042320444,"about_ca_topic_score_gemma":0.000021312051,"teacher_disagreement_score":0.13637017,"about_ca_system_score_codex":0.000052369953,"about_ca_system_score_gemma":0.0004980579,"threshold_uncertainty_score":0.99993616},"labels":[],"label_agreement":null},{"id":"W1557766279","doi":"10.1515/crelle-2016-0056","title":"Strong shift equivalence and algebraic K-theory","year":2016,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Danmarks Grundforskningsfond; National Research Foundation; University of Ottawa","keywords":"Noncommutative geometry; Mathematics; Invertible matrix; Commutative ring; Invariant theory; Invariant (physics); Combinatorics; Commutative property; Equivalence (formal languages); Algebraic number; Discrete mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.04034801298982034,"score_gpt":0.33918426728220225,"score_spread":0.2988362542923819,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1557766279","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63369066,0.13950585,0.19002436,0.008270098,0.012647806,0.002083593,0.00016688263,0.00051402836,0.013096711],"genre_scores_gemma":[0.94132453,0.03190486,0.011855646,0.0002580052,0.009199788,0.000045167973,0.000008367384,0.0005506807,0.004852953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99278617,0.0007876176,0.0024892462,0.00089797826,0.0016986752,0.0013403269],"domain_scores_gemma":[0.9918122,0.0018580073,0.0035002355,0.0011546047,0.00057609694,0.0010988],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0037433817,0.0014077408,0.0021607871,0.00069582206,0.0012011442,0.0015580166,0.0016984717,0.00092961604,0.0007714029],"category_scores_gemma":[0.0015275859,0.0009371393,0.00113928,0.00017445213,0.00039255686,0.0005902341,0.001721395,0.0042394963,0.00003199663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003641141,0.0002782261,0.000088901084,0.0015736625,0.002518467,0.0009291154,0.003217441,0.00003078507,0.00028210605,0.97320986,0.006280736,0.011226574],"study_design_scores_gemma":[0.0019483916,0.0002871735,0.00004224527,0.0051900893,0.0010409382,0.002965034,0.00040247248,0.000062431674,0.00057836866,0.98305947,0.003285946,0.0011374285],"about_ca_topic_score_codex":0.0000045653414,"about_ca_topic_score_gemma":0.0000058418445,"teacher_disagreement_score":0.30763385,"about_ca_system_score_codex":0.00047755992,"about_ca_system_score_gemma":0.00056284043,"threshold_uncertainty_score":0.99986726},"labels":[],"label_agreement":null},{"id":"W1559722032","doi":"10.1023/a:1015691401406","title":"Free Kac–Moody Groups and their Lie Algebras","year":2002,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Carleton University","funders":"","keywords":"Mathematics; Pure mathematics; Invariant (physics); Lie algebra; Lie group; Algebra over a field; Mathematical physics","score_opus":0.030163185210964772,"score_gpt":0.2650335223787994,"score_spread":0.23487033716783462,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559722032","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9881683,0.0027373258,0.0018169738,0.00061524,0.0004887766,0.00035100308,0.00001117739,0.00014482538,0.005666371],"genre_scores_gemma":[0.99726254,0.00047131363,0.00038052766,0.00030598807,0.0003082668,0.000030311334,0.0000056570366,0.00004386953,0.0011915078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848306,0.00020613197,0.00034967263,0.00045910498,0.00021559214,0.00028641868],"domain_scores_gemma":[0.99816453,0.0008687858,0.00015857513,0.0005915403,0.00005960187,0.00015698098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031975526,0.00027139552,0.0003304936,0.00009448929,0.0002822427,0.00011955885,0.00022839913,0.00015970581,0.0006227014],"category_scores_gemma":[0.0003568127,0.00020141207,0.00009062664,0.00016397456,0.00023164398,0.00025517432,0.00022579836,0.00019615675,0.000010634801],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029065566,0.000053108717,0.00058733206,0.00003322591,0.00009573482,0.0000045353986,0.0028522809,4.705359e-7,0.00020772059,0.98289245,0.0022437128,0.011000367],"study_design_scores_gemma":[0.0009819625,0.000076788194,0.0015664165,0.000023169094,0.00005278246,0.00004486376,0.0014798433,0.00017748018,0.0011861881,0.9938698,0.00028338635,0.0002573388],"about_ca_topic_score_codex":0.000019707444,"about_ca_topic_score_gemma":0.0000056068993,"teacher_disagreement_score":0.010977335,"about_ca_system_score_codex":0.000014844812,"about_ca_system_score_gemma":0.000007989098,"threshold_uncertainty_score":0.8213346},"labels":[],"label_agreement":null},{"id":"W1559910932","doi":"10.1080/00927872.2018.1508581","title":"Topological Hopf algebras and their Hopf-cyclic cohomology","year":2019,"lang":"en","type":"preprint","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Hopf algebra; Representation theory of Hopf algebras; Subalgebra; Pure mathematics; Cohomology; Universal enveloping algebra; Topology (electrical circuits); Algebra over a field; Division algebra; Combinatorics","score_opus":0.08574572722666325,"score_gpt":0.3509087715753098,"score_spread":0.26516304434864657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559910932","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9770187,0.0074668084,0.0008912967,0.0038832512,0.0013393488,0.001345144,0.000040098712,0.00023608455,0.0077792746],"genre_scores_gemma":[0.99005866,0.0027240997,0.005971684,0.00040579916,0.00012427081,0.00029188092,0.0000982276,0.00007309116,0.00025228097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99699014,0.0007167642,0.0008644798,0.00074166,0.00019779213,0.0004891877],"domain_scores_gemma":[0.991736,0.0022026757,0.00044281097,0.005378317,0.000116870775,0.00012332186],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00062575936,0.00056888256,0.0010655558,0.00027583513,0.0002606736,0.000118233926,0.0029937357,0.0010770997,0.00015849035],"category_scores_gemma":[0.00065999426,0.00048719492,0.00021654658,0.0002369539,0.0007440152,0.000081822225,0.0072383224,0.002165212,0.000033593722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017750546,0.00018332139,0.0025988682,0.0001105244,0.00010392301,0.000002496608,0.0012298377,0.000010988812,0.000013938566,0.9931094,0.0006170821,0.0020018858],"study_design_scores_gemma":[0.0005815154,0.00005821462,0.0031906054,0.0001597952,0.000050206683,0.000029179586,0.00031768568,0.0007212394,0.000044625005,0.99243736,0.0019106377,0.0004989246],"about_ca_topic_score_codex":0.00014267096,"about_ca_topic_score_gemma":0.00014996633,"teacher_disagreement_score":0.013039973,"about_ca_system_score_codex":0.00017659845,"about_ca_system_score_gemma":0.00018980094,"threshold_uncertainty_score":0.99975795},"labels":[],"label_agreement":null},{"id":"W1566397626","doi":"10.1090/s0002-9947-03-03037-x","title":"Closed product formulas for extensions of generalized Verma modules","year":2003,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Algorithm; Computer science; Annotation; Artificial intelligence; Mathematics; Database","score_opus":0.02765981936156252,"score_gpt":0.2873370702550984,"score_spread":0.2596772508935359,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1566397626","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6446414,0.0002125555,0.35182986,0.00060777616,0.0005095207,0.0017268102,0.00015544757,0.000047244044,0.0002693978],"genre_scores_gemma":[0.8808935,0.0001083872,0.11813824,0.00008252522,0.000059548096,0.00009331669,0.0000016899928,0.00007194054,0.0005508101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99719125,0.00019966315,0.0011188918,0.00040513248,0.000583533,0.00050155376],"domain_scores_gemma":[0.9961941,0.0010373348,0.0009904142,0.0012750993,0.0003693945,0.00013365372],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005085304,0.00041082167,0.0012853668,0.000036046833,0.00037728142,0.000021333733,0.00057447964,0.00013367113,0.00021813138],"category_scores_gemma":[0.0004574926,0.00028966976,0.002043209,0.000600916,0.0011666962,0.00008865565,0.000029344683,0.00031882347,0.0000033717363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001477119,0.0014239929,0.000015298174,0.0019344582,0.0012457084,1.5056696e-7,0.003925568,0.0007899602,0.008504818,0.9792845,0.0010471839,0.0016806215],"study_design_scores_gemma":[0.0014322065,0.0002744471,0.00010038795,0.00020985719,0.0012682403,0.000009780845,0.0016401301,0.0066489372,0.03743092,0.95035815,0.00028020807,0.00034675878],"about_ca_topic_score_codex":0.00005524611,"about_ca_topic_score_gemma":0.00000269028,"teacher_disagreement_score":0.23625214,"about_ca_system_score_codex":0.000089091685,"about_ca_system_score_gemma":0.0001843394,"threshold_uncertainty_score":0.99995553},"labels":[],"label_agreement":null},{"id":"W1569537536","doi":"10.1090/s0002-9939-00-05437-x","title":"A co-Frobenius Hopf algebra with a separable Galois extension is finite","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Separable space; Mathematics","score_opus":0.015001006190398883,"score_gpt":0.2678236808128309,"score_spread":0.252822674622432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1569537536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9888869,0.000027522061,0.00028448575,0.00076591555,0.000024100445,0.0004577282,0.000007896704,0.00011948665,0.009425976],"genre_scores_gemma":[0.9737967,0.000049562666,0.023511754,0.0009843212,0.000086958426,0.00004651225,4.894687e-7,0.00006894742,0.0014547474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978346,0.000012306018,0.00049125054,0.0004165772,0.00077090214,0.00047433568],"domain_scores_gemma":[0.99842614,0.00033734727,0.0005140847,0.00036199336,0.00021841787,0.000142003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031715143,0.00033792845,0.00074308715,0.000020454758,0.00024028459,0.00007136391,0.00061496213,0.0000920389,0.00079039164],"category_scores_gemma":[0.00017878946,0.00019994451,0.0004844899,0.00059975276,0.0006946731,0.00015140696,0.00009223602,0.00032299568,0.000031528998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00074913807,0.001317347,0.0021407213,0.0018912856,0.0011182086,0.000002290903,0.021191526,0.000023599645,0.007339254,0.8671272,0.09194398,0.0051554474],"study_design_scores_gemma":[0.0005793211,0.00023857484,0.00034885964,0.00024719414,0.00018859775,0.0000313073,0.0010826191,0.0015521363,0.0068552084,0.98796916,0.0005690237,0.00033798796],"about_ca_topic_score_codex":0.000029253124,"about_ca_topic_score_gemma":2.2931289e-7,"teacher_disagreement_score":0.120841965,"about_ca_system_score_codex":0.00006375256,"about_ca_system_score_gemma":0.000045031455,"threshold_uncertainty_score":0.86542344},"labels":[],"label_agreement":null},{"id":"W1569820464","doi":"10.48550/arxiv.math/0411568","title":"Diagonal Temperley-Lieb Invariants and Harmonics","year":2004,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Diagonal; Noncommutative geometry; Pure mathematics; Symmetric function; Ring (chemistry); Geometry","score_opus":0.1278314929439042,"score_gpt":0.211603081129808,"score_spread":0.0837715881859038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1569820464","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98873496,0.000120744575,0.007890591,0.000066616594,0.0009888092,0.00036154027,0.000029580913,0.0001442828,0.0016628989],"genre_scores_gemma":[0.99829113,0.0002926753,0.00038720277,0.00006679118,0.00017561881,0.0000012810696,0.000012803371,0.00004699057,0.00072551233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983798,0.000073602525,0.0002374828,0.0008421303,0.0001181044,0.00034887207],"domain_scores_gemma":[0.99854225,0.00017222704,0.00024206184,0.0007315815,0.000102891056,0.00020900373],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001322098,0.00040240624,0.00048601365,0.00012789726,0.00017113055,0.00008482126,0.0005637905,0.0005278014,0.0001075788],"category_scores_gemma":[0.00010368679,0.00043504802,0.00018191284,0.00017083455,0.0001529348,0.00012547309,0.0011778129,0.00073050114,0.0000173252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004592835,0.000066613735,0.00056881836,0.0001666923,0.0001500838,0.00016142537,0.00024306665,0.003147061,0.000008902401,0.99523,0.00015173107,0.000059654834],"study_design_scores_gemma":[0.0009304742,0.00003894772,0.0007927325,0.00014077142,0.00019812811,0.000009763447,0.0000991391,0.0035478547,0.000042448926,0.9936332,0.00010086179,0.00046564863],"about_ca_topic_score_codex":0.00014552783,"about_ca_topic_score_gemma":0.000025753687,"teacher_disagreement_score":0.009556189,"about_ca_system_score_codex":0.00024255313,"about_ca_system_score_gemma":0.00032189908,"threshold_uncertainty_score":0.99981016},"labels":[],"label_agreement":null},{"id":"W1570379142","doi":"10.1155/imrn.2005.3459","title":"","year":2005,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Finitely-generated abelian group; Pure mathematics; Combinatorics; Class (philosophy); Constant (computer programming); Sequence (biology); Local ring; Construct (python library); Discrete mathematics; Ring (chemistry)","score_opus":0.2234835906950121,"score_gpt":0.4834833780304383,"score_spread":0.25999978733542617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1570379142","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97345173,0.000089259614,0.0030713964,0.011478007,0.0009045097,0.00074430456,0.0000114451095,0.00026896564,0.009980359],"genre_scores_gemma":[0.9094337,0.000030981137,0.08725029,0.00014901682,0.0018243261,0.00018599615,0.0000060004854,0.000078697776,0.0010409805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99213463,0.00030470593,0.0012091652,0.00072083535,0.0044874502,0.001143195],"domain_scores_gemma":[0.99032724,0.0061587715,0.00037187574,0.0009989182,0.0017674587,0.0003757092],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0044671656,0.0004102379,0.00053410797,0.000728859,0.00059163535,0.00072173093,0.0027793108,0.00022726238,0.000500235],"category_scores_gemma":[0.007122363,0.00034550964,0.00025242902,0.0005434806,0.00040911033,0.0012777244,0.00090935564,0.0010080192,0.00010820793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007599011,0.00087900256,0.00026556652,0.00011412366,0.00022683338,0.000016290462,0.004419319,0.00035072284,0.0007248025,0.9895072,0.0010749681,0.0023452016],"study_design_scores_gemma":[0.0011730129,0.000121016164,0.0002040907,0.00016234291,0.000023718136,0.00003045704,0.0020290855,0.020476617,0.0049313772,0.96628165,0.004196338,0.00037026158],"about_ca_topic_score_codex":0.000075799486,"about_ca_topic_score_gemma":0.0001898975,"teacher_disagreement_score":0.084178895,"about_ca_system_score_codex":0.00048732772,"about_ca_system_score_gemma":0.00014706407,"threshold_uncertainty_score":0.9998997},"labels":[],"label_agreement":null},{"id":"W1576953387","doi":"10.1142/s0219498816501954","title":"On representation theory of total (co)integrals","year":2016,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Hopf algebra; Mathematics; Pure mathematics; Polynomial; Algebra over a field; Representation (politics); Mathematical analysis","score_opus":0.04529292758406683,"score_gpt":0.3426247350265045,"score_spread":0.29733180744243765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1576953387","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9698208,0.0009019721,0.023800712,0.0007006933,0.00050953456,0.00069177675,0.000059825245,0.000020599176,0.0034940662],"genre_scores_gemma":[0.9982391,0.00024262285,0.00058365107,0.00003327982,0.00047051982,0.00003906057,0.00000385515,0.000025962738,0.0003619334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984399,0.000098188044,0.00077526324,0.00020970765,0.00035191514,0.00012504052],"domain_scores_gemma":[0.9970294,0.0007794515,0.00133331,0.000384139,0.00037464584,0.000099050965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039608942,0.00019823188,0.00050546095,0.00016836158,0.00006652402,0.00003222962,0.0002648539,0.00022124143,0.000111238216],"category_scores_gemma":[0.00032094988,0.00013230949,0.00024084575,0.00007519255,0.000063462365,0.00008089326,0.00011935454,0.00040277684,0.0000035636122],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000074384196,0.00008684561,0.0000114083205,0.00009502621,0.00015598687,7.839597e-7,0.00026181724,0.0000061600726,0.0005435964,0.9937446,0.0010002211,0.0040191347],"study_design_scores_gemma":[0.0003850108,0.00011826705,0.00019625931,0.0002481395,0.00013727597,0.0000286896,0.000109642475,0.000011411272,0.005161228,0.99335325,0.0001214014,0.00012943639],"about_ca_topic_score_codex":9.303779e-7,"about_ca_topic_score_gemma":1.5174255e-7,"teacher_disagreement_score":0.028418293,"about_ca_system_score_codex":0.000039328756,"about_ca_system_score_gemma":0.00011225777,"threshold_uncertainty_score":0.53954244},"labels":[],"label_agreement":null},{"id":"W1579278459","doi":"10.1090/s1088-4165-00-00052-2","title":"Verifying Kottwitz’ conjecture by computer","year":2000,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Algorithm; Computer science; Annotation; Artificial intelligence","score_opus":0.020772208151187032,"score_gpt":0.298151424216969,"score_spread":0.277379216065782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1579278459","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9612837,0.000039643426,0.035087503,0.0005086199,0.00012121849,0.00035818145,0.000009866736,0.00008812096,0.0025031844],"genre_scores_gemma":[0.986019,0.000022036304,0.01204575,0.00053277396,0.00012467452,0.00001820355,0.0000025639706,0.000034805846,0.0012001749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983487,0.0002870024,0.00041888125,0.00025794448,0.00045021696,0.00023723906],"domain_scores_gemma":[0.99784017,0.0010894545,0.0003498991,0.0006039153,0.000046067435,0.000070526105],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003731436,0.0001900437,0.00045370386,0.00000973362,0.000166496,0.00003044944,0.00044006773,0.000064000604,0.0011688193],"category_scores_gemma":[0.00012414831,0.00012347866,0.00046409425,0.0003049927,0.0006550932,0.000070502356,0.00009456934,0.00020878932,0.000017071743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000082441635,0.00018719873,0.00017891667,0.00013186935,0.0002775257,4.2250647e-7,0.0037565131,0.00010606898,0.00073010905,0.9612756,0.01581224,0.017461108],"study_design_scores_gemma":[0.000326121,0.000049133883,0.00020753937,0.000038902348,0.00007093529,0.000008573168,0.00057952513,0.0010916627,0.002240624,0.9950035,0.00023571026,0.00014777386],"about_ca_topic_score_codex":0.000012621213,"about_ca_topic_score_gemma":1.0710837e-7,"teacher_disagreement_score":0.033727914,"about_ca_system_score_codex":0.00004027596,"about_ca_system_score_gemma":0.000022054795,"threshold_uncertainty_score":0.99974424},"labels":[],"label_agreement":null},{"id":"W1580935205","doi":"10.1007/bfb0105314","title":"Hamiltonian dynamics, classical R-matrices and isomonodromic deformations","year":2007,"lang":"en","type":"book-chapter","venue":"Lecture notes in physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Integrable system; Fredholm determinant; Mathematical physics; Hamiltonian (control theory); Mathematics; Pure mathematics; Rational function; Quantum field theory; Matrix (chemical analysis)","score_opus":0.027508152220121446,"score_gpt":0.27849989377696316,"score_spread":0.25099174155684173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1580935205","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01729489,0.0043589314,0.5679577,0.0013054678,0.0047346787,0.002850278,0.00035841455,0.00072621234,0.40041342],"genre_scores_gemma":[0.97690326,0.00048812202,0.0125081185,0.00053668686,0.0028998563,0.000023075074,0.00020779623,0.000363905,0.006069167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984019,0.000016216882,0.00049976987,0.0004034861,0.00032964142,0.00034901945],"domain_scores_gemma":[0.9983988,0.00065548485,0.00030859592,0.00047206265,0.00007056216,0.000094525465],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00011138502,0.0005052933,0.0006440066,0.0001438179,0.000118097436,0.00007122036,0.00026075213,0.0007460515,0.00004066459],"category_scores_gemma":[0.000087472064,0.0004558663,0.00017251406,0.000081286154,0.0001597345,0.000107982334,0.00014705806,0.0010167551,0.000014110856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014351238,0.000021099144,0.000022170165,0.000121591154,0.00005952866,0.000008555127,0.00033321272,0.00008436065,0.0000016895218,0.9619008,0.000057296595,0.037375346],"study_design_scores_gemma":[0.00033487633,0.00004785643,0.000014738319,0.00017982765,0.00010340346,0.00001452772,0.000003973144,0.0032557605,0.000037724043,0.9940853,0.001451873,0.00047011723],"about_ca_topic_score_codex":0.000023175067,"about_ca_topic_score_gemma":0.00036201024,"teacher_disagreement_score":0.9596084,"about_ca_system_score_codex":0.00029007797,"about_ca_system_score_gemma":0.00007744743,"threshold_uncertainty_score":0.9997893},"labels":[],"label_agreement":null},{"id":"W1582028857","doi":"10.4153/cjm-2015-033-6","title":"Equivariant Map Queer Lie Superalgebras","year":2015,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Equivariant map; Queer; Lie superalgebra; Isomorphism (crystallography); Abelian group; Representation of a Lie group; Algebra over a field; (g,K)-module; Lie group","score_opus":0.08048405188150091,"score_gpt":0.2874950448673633,"score_spread":0.2070109929858624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1582028857","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97787,0.0009095731,0.009478708,0.0019041289,0.0040352396,0.00026105825,0.000012161365,0.000031366453,0.005497768],"genre_scores_gemma":[0.97134817,0.0000041090325,0.026954876,0.00019447222,0.00068092113,0.00000222885,8.6438337e-7,0.00005679722,0.00075754],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823797,0.000055731238,0.0007266338,0.000112951144,0.00044697936,0.00041975296],"domain_scores_gemma":[0.99731785,0.00020048118,0.00037302438,0.0003651882,0.00050738483,0.0012360768],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084124255,0.00021265741,0.00048087226,0.00021991452,0.00009029041,0.000120067045,0.00052492763,0.0001544655,0.0002726287],"category_scores_gemma":[0.0012010048,0.0001702465,0.00017298567,0.00015015987,0.000084527266,0.000191275,0.000028491082,0.00032141048,0.000048275208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000050422273,0.000029503928,0.00015080333,0.000069707596,0.00008288647,0.00016876779,0.0038439045,0.000009983314,0.00001003656,0.9640684,0.031446867,0.00011406036],"study_design_scores_gemma":[0.00063541904,0.00013348069,0.00001975,0.00012837451,0.00008345243,0.00040697303,0.0015389307,0.00007415618,0.00013534442,0.9883528,0.008293094,0.00019823556],"about_ca_topic_score_codex":0.00044330757,"about_ca_topic_score_gemma":0.0014627173,"teacher_disagreement_score":0.024284353,"about_ca_system_score_codex":0.00025840822,"about_ca_system_score_gemma":0.0018913972,"threshold_uncertainty_score":0.6942451},"labels":[],"label_agreement":null},{"id":"W1583867781","doi":"10.1023/a:1021804505786","title":"Symplectic Shifted Tableaux and Deformations of Weyl's Denominator Formula for sp(2n)","year":2002,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Leverhulme Trust","keywords":"Mathematics; Sign (mathematics); Symplectic geometry; Pure mathematics; Combinatorics; Product (mathematics); Algebra over a field; Geometry; Mathematical analysis","score_opus":0.0503204948607272,"score_gpt":0.2823279933471271,"score_spread":0.2320074984863999,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1583867781","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9907092,0.0013775608,0.0051563247,0.00037843882,0.0014238121,0.00045886694,0.00001083666,0.000028555405,0.00045640103],"genre_scores_gemma":[0.9969088,0.00017302611,0.0024553072,0.000049116188,0.00015514059,0.000013188528,0.0000012456522,0.0000500388,0.00019416107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99758667,0.00006465248,0.0012320265,0.00018363736,0.0005410481,0.00039194836],"domain_scores_gemma":[0.9964166,0.0010326961,0.0012348045,0.0003364141,0.0007504387,0.0002290247],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005927438,0.0002912897,0.0007761175,0.00033527106,0.00021244257,0.000068415684,0.0004112117,0.00020616075,0.00008858451],"category_scores_gemma":[0.0011684868,0.000249288,0.00030377618,0.00047148208,0.000092342474,0.0004756477,0.00009862192,0.00033812612,0.0000016801608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059275117,0.0002738669,0.00037050396,0.0003060105,0.00018590919,0.0000049074124,0.0011127217,0.0000057188718,0.00011063989,0.9943293,0.0021167216,0.0011244231],"study_design_scores_gemma":[0.0028279978,0.0008372413,0.0005014988,0.0001121467,0.00028074963,0.00019687317,0.0002822416,0.001230826,0.00087437616,0.9915682,0.001027918,0.00025992142],"about_ca_topic_score_codex":0.0000046558716,"about_ca_topic_score_gemma":0.000002316736,"teacher_disagreement_score":0.0061995722,"about_ca_system_score_codex":0.00016837181,"about_ca_system_score_gemma":0.00010061218,"threshold_uncertainty_score":0.99999595},"labels":[],"label_agreement":null},{"id":"W1583979890","doi":"10.4171/dm/373","title":"Cyclic cohomology of Lie algebras","year":2012,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Cohomology; Pure mathematics; Lie algebra; Algebra over a field; Adjoint representation of a Lie algebra; Lie conformal algebra","score_opus":0.040726493855282334,"score_gpt":0.33173519105716454,"score_spread":0.2910086972018822,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1583979890","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97696835,0.00022178466,0.001365984,0.0001466847,0.0006807905,0.0003797087,0.000004071434,0.00009335017,0.020139249],"genre_scores_gemma":[0.990342,0.000010868674,0.008696963,0.000085502965,0.00021845904,0.0000400443,0.0000032104278,0.000039423554,0.00056350935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984455,0.00007193666,0.0005397713,0.00016826802,0.00033008106,0.0004444176],"domain_scores_gemma":[0.99852854,0.00044823764,0.00027554174,0.0005627877,0.00004029078,0.0001445859],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036914487,0.00021185778,0.00048086856,0.000074427335,0.000063220454,0.000018203085,0.0003167326,0.00012265697,0.001960637],"category_scores_gemma":[0.00022847718,0.00017224197,0.00014287322,0.00013677725,0.000109683184,0.00021902758,0.0001523334,0.00012382338,0.00011432403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010903146,0.00022677374,0.0005617584,0.00015878146,0.00008998778,9.096458e-7,0.0011957341,6.453126e-8,0.0006538843,0.9943878,0.0025187247,0.00019469723],"study_design_scores_gemma":[0.00043577907,0.000054899443,0.00012746028,0.000040228653,0.00009505773,0.00003111646,0.00020152486,0.000005742401,0.011294381,0.98683274,0.0007045471,0.00017654985],"about_ca_topic_score_codex":0.000009507514,"about_ca_topic_score_gemma":5.9893904e-7,"teacher_disagreement_score":0.01957574,"about_ca_system_score_codex":0.000043346634,"about_ca_system_score_gemma":0.00002021172,"threshold_uncertainty_score":0.99895173},"labels":[],"label_agreement":null},{"id":"W1603045336","doi":"10.1016/j.jalgebra.2015.09.013","title":"The Hall module of an exact category with duality","year":2015,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Mathematics; Finitary; Duality (order theory); Algebra over a field; Representation theory; Pure mathematics; Dual (grammatical number); Construct (python library); Computer science; Linguistics","score_opus":0.0500476966469805,"score_gpt":0.3167970609586629,"score_spread":0.2667493643116824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1603045336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9952151,0.0007425148,0.00077624683,0.0003113486,0.0015846719,0.00022853071,0.000008416,0.00001650796,0.0011166305],"genre_scores_gemma":[0.9966565,0.00006484415,0.0023451238,0.000024665951,0.0007299821,0.000003960184,0.0000023492112,0.00004828127,0.00012431291],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972719,0.00027741617,0.0010062754,0.0002087766,0.000984587,0.00025102968],"domain_scores_gemma":[0.9952702,0.00032119124,0.0022587357,0.0008817367,0.0010504134,0.00021772218],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017873237,0.0003086967,0.000816287,0.000083559025,0.00009203379,0.00010185065,0.0009882521,0.00029216034,0.0000280443],"category_scores_gemma":[0.00033457304,0.00016831148,0.00026643823,0.00008248245,0.00015913123,0.00015454163,0.00031491078,0.0010795776,9.326293e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011801425,0.0005072517,0.00025193216,0.0005034272,0.0014060288,0.000102531885,0.0029552688,0.0010621212,0.000063143954,0.9830207,0.005946948,0.0030005001],"study_design_scores_gemma":[0.0007094915,0.0004880924,0.0004508871,0.00015671844,0.00022237869,0.00012403744,0.0003564677,0.00013921293,0.00055659295,0.9963792,0.00021452463,0.00020242388],"about_ca_topic_score_codex":0.00009366025,"about_ca_topic_score_gemma":0.00004053378,"teacher_disagreement_score":0.013358469,"about_ca_system_score_codex":0.00012558943,"about_ca_system_score_gemma":0.00081568304,"threshold_uncertainty_score":0.6863543},"labels":[],"label_agreement":null},{"id":"W1606403868","doi":"10.1007/jhep07(2015)120","title":"Generalized ADE classification of topological boundaries and anyon condensation","year":2015,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministero dello Sviluppo Economico; Institut Périmètre de physique théorique; Industry Canada; Government of Canada; John Templeton Foundation","keywords":"Anyon; Simple (philosophy); Topological quantum number; Separable space; Class (philosophy); Duality (order theory); Topology (electrical circuits); Field (mathematics); Modular design; Surface (topology)","score_opus":0.06370703730439779,"score_gpt":0.2968068241981565,"score_spread":0.2330997868937587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1606403868","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9743474,0.00017067305,0.024599962,0.00019689932,0.0005357344,0.000021205788,0.0000013010101,0.0000066896027,0.00012014637],"genre_scores_gemma":[0.99622226,0.000027591179,0.003254532,0.000038331782,0.00040233796,9.187401e-7,0.0000017059768,0.000008285466,0.00004401045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991673,0.000068449626,0.00034109448,0.00006872735,0.000276264,0.00007812916],"domain_scores_gemma":[0.998913,0.00008041134,0.0005188992,0.00010419314,0.00031680928,0.000066720204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015076374,0.000084635816,0.0002723321,0.000027954948,0.00004647492,0.000036567188,0.00008706911,0.000076870056,0.0000066766975],"category_scores_gemma":[0.00010738485,0.000062259256,0.0000567987,0.00006493102,0.00013597649,0.00013362561,0.00002463064,0.000082494815,1.18715676e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007780755,0.000042701213,0.000120129844,0.00000844222,0.00003859072,0.0000013610178,0.00025707998,0.000027578855,0.00070577726,0.99774015,0.00046938614,0.00051100686],"study_design_scores_gemma":[0.0008261884,0.00020295662,0.0007582452,0.000012415473,0.00005007796,0.00001615815,0.00011233385,0.00010760082,0.0064768353,0.9909268,0.00044571605,0.00006464364],"about_ca_topic_score_codex":0.000032783217,"about_ca_topic_score_gemma":0.000002823463,"teacher_disagreement_score":0.021874897,"about_ca_system_score_codex":0.00003627492,"about_ca_system_score_gemma":0.00010689858,"threshold_uncertainty_score":0.25388587},"labels":[],"label_agreement":null},{"id":"W1611438851","doi":"10.4153/cmb-2007-059-5","title":"Construction of Generalized Harish-Chandra Modules with Arbitrary Minimal -Type","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Subalgebra; Simple (philosophy); Pure mathematics; Norm (philosophy); Lie algebra; Algebraic number; Algebra over a field; Simple module; Type (biology); Mathematical analysis","score_opus":0.0200960233831597,"score_gpt":0.2480852087164567,"score_spread":0.227989185333297,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1611438851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97856617,0.00007017312,0.005726002,0.0005810719,0.00023773321,0.00032527625,0.00001101522,0.00005286355,0.014429714],"genre_scores_gemma":[0.932935,0.0000039196084,0.06621307,0.00016004234,0.00014895655,0.0000073715823,0.000005953807,0.000044630397,0.00048107572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984575,0.000034822177,0.00048487048,0.0002480569,0.00030776137,0.0004670218],"domain_scores_gemma":[0.9985869,0.0003005435,0.00015563134,0.00035757772,0.00016138925,0.00043794708],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00034386787,0.00022379655,0.00044106596,0.00015194943,0.0001081879,0.00002983323,0.00020502576,0.00018890381,0.0042046993],"category_scores_gemma":[0.00030155154,0.000180743,0.00008470804,0.00019441523,0.00026831098,0.000031698157,0.000025020849,0.00019415628,0.00013017675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009749026,0.000031514315,0.00007199206,0.00013258262,0.000058948703,0.000034139226,0.00025643944,0.000001491196,0.00007423868,0.9966536,0.0022743861,0.00031316336],"study_design_scores_gemma":[0.0007001239,0.00014794036,0.00012436087,0.00011030286,0.000068762034,0.000115785966,0.00031507068,0.000072957635,0.0018709092,0.99230593,0.0039036188,0.0002642121],"about_ca_topic_score_codex":0.0006021325,"about_ca_topic_score_gemma":0.0005814533,"teacher_disagreement_score":0.06048707,"about_ca_system_score_codex":0.00008816368,"about_ca_system_score_gemma":0.00018111299,"threshold_uncertainty_score":0.9967056},"labels":[],"label_agreement":null},{"id":"W1614323865","doi":"10.70930/tac/xvo4ev6r","title":"Generalized Brown representability in homotopy categories","year":2005,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Homotopy category; Homotopy; Cohomology; Functor; Pure mathematics; Model category; Adjoint functors; Functor category; Cofibration; Derived category; Eilenberg–MacLane space; Homotopy lifting property; Algebra over a field; n-connected","score_opus":0.01725658145415159,"score_gpt":0.29310831968813295,"score_spread":0.27585173823398135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1614323865","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9884976,0.0006525407,0.0073143053,0.00023116427,0.000042437874,0.00046097915,0.0000071929007,0.00005478202,0.002739004],"genre_scores_gemma":[0.9977729,0.000069512236,0.0013278814,0.000026705113,0.00013700442,0.0002275169,0.000006113107,0.000012349862,0.00042003655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904394,0.00011165645,0.00035345284,0.00022295352,0.000117125936,0.00015086857],"domain_scores_gemma":[0.9988638,0.00042765748,0.00011482446,0.0004798174,0.000068996655,0.000044891956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005265872,0.00012895458,0.00026389808,0.000060637318,0.00010069891,0.000020688956,0.00018971798,0.0000781473,0.00009943353],"category_scores_gemma":[0.00011147649,0.00011126106,0.00004633697,0.00019982243,0.00032196296,0.00013034936,0.000077711695,0.000096025506,0.00000219713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007810294,0.000074947166,0.000596236,0.000045487544,0.0000133379845,1.0650825e-7,0.001037641,0.000009190266,0.00024336524,0.99350554,0.000049318005,0.004346727],"study_design_scores_gemma":[0.00035293202,0.0000151952845,0.0005860707,0.0000040433824,0.000020413281,0.0000030384183,0.00061624317,0.000010128918,0.014068094,0.9819056,0.0023043207,0.00011392662],"about_ca_topic_score_codex":0.00006271636,"about_ca_topic_score_gemma":0.00004199829,"teacher_disagreement_score":0.013824729,"about_ca_system_score_codex":0.000020288415,"about_ca_system_score_gemma":0.000033440258,"threshold_uncertainty_score":0.45370945},"labels":[],"label_agreement":null},{"id":"W1615007532","doi":"10.1007/978-1-4612-1206-5_22","title":"The Quantized Knizhnik—Zamolodchikov Equation in Tensor Products of Irreducible sl2-Modules","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Tensor product; Mathematics; Monodromy; SL2(R); Pure mathematics; Tensor product of modules; Tensor (intrinsic definition); Trigonometry; Tensor contraction; Hypergeometric function; Algebra over a field; Group (periodic table); Tensor product of Hilbert spaces; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.0642786153823699,"score_gpt":0.2825642736185857,"score_spread":0.21828565823621582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1615007532","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01607031,0.0022010193,0.00013242917,0.000993179,0.0016198505,0.0021435416,0.000019251287,0.00016105588,0.97665936],"genre_scores_gemma":[0.34223932,0.0013313207,0.003511645,0.0000565277,0.0006649996,0.00006148553,0.000036670805,0.00020875491,0.65188926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99775714,0.000048435588,0.0008741136,0.0004949197,0.0005245975,0.00030078742],"domain_scores_gemma":[0.99777895,0.0005131974,0.0004677994,0.0009984998,0.00019575398,0.000045792447],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042625028,0.00040402374,0.0006898998,0.0001533794,0.00010184051,0.000044006207,0.00044899923,0.00039418435,0.00049503107],"category_scores_gemma":[0.000313274,0.00026444154,0.0001790879,0.00007822734,0.00015046289,0.0000692231,0.00008596552,0.000377082,0.000040029714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011090902,0.00003023392,0.000002594719,0.000090908325,0.00006703092,0.0000021928483,0.00013592672,0.0000062987287,0.000026784493,0.9912445,0.0011483078,0.0071343067],"study_design_scores_gemma":[0.000534644,0.00007225023,0.000036666115,0.00017893405,0.000068030335,0.0000050042795,0.000028461805,0.0000693582,0.0004138567,0.9838431,0.0144482,0.00030153547],"about_ca_topic_score_codex":0.00007897933,"about_ca_topic_score_gemma":0.000052394833,"teacher_disagreement_score":0.326169,"about_ca_system_score_codex":0.0000685725,"about_ca_system_score_gemma":0.00014668833,"threshold_uncertainty_score":0.9999808},"labels":[],"label_agreement":null},{"id":"W1616424207","doi":"10.3842/sigma.2015.067","title":"Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)","year":2015,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Deutsches Elektronen-Synchrotron; Natural Sciences and Engineering Research Council of Canada; Eidgenössische Technische Hochschule Zürich","keywords":"Indecomposable module; Supergroup; Mathematics; Pure mathematics; Lift (data mining); Superalgebra; Conformal map; Lie superalgebra; Field (mathematics); Simple (philosophy); Realization (probability); Conformal field theory; Algebra over a field; Mathematical analysis; Affine Lie algebra; Current algebra; Computer science","score_opus":0.04307088716075147,"score_gpt":0.36780830077632265,"score_spread":0.3247374136155712,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1616424207","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6210127,0.00065019884,0.377263,0.0002823206,0.000055085846,0.00025440197,0.000034042114,0.000013296215,0.0004349346],"genre_scores_gemma":[0.95856214,0.000089388974,0.041188125,0.000034260607,0.000028157336,0.000037421763,0.0000036078936,0.0000065734844,0.000050360435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988196,0.00024039019,0.0004036971,0.0002659992,0.00016338998,0.00010691293],"domain_scores_gemma":[0.9976482,0.0012239483,0.00019616459,0.000648196,0.0001934572,0.000090060916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012313965,0.00012637503,0.00039465862,0.00015056436,0.000094843075,0.000018379444,0.00020014029,0.00013593804,0.000018273558],"category_scores_gemma":[0.0017614209,0.000084762425,0.00010564799,0.0012747938,0.00024645947,0.00005658224,0.00018863507,0.00015172732,4.9116533e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001558683,0.00006705859,0.023934841,0.00013334803,0.00015973145,1.6207071e-8,0.00029315287,9.566132e-7,0.0002437484,0.94624615,0.000043762826,0.028861675],"study_design_scores_gemma":[0.00024115459,0.00006566814,0.011596559,0.000012699761,0.00042579081,0.0000018833019,0.0006495247,0.0002829606,0.0049972325,0.9813187,0.00031804937,0.00008974273],"about_ca_topic_score_codex":0.00044543162,"about_ca_topic_score_gemma":0.000042312655,"teacher_disagreement_score":0.3375494,"about_ca_system_score_codex":0.000013869492,"about_ca_system_score_gemma":0.000028201122,"threshold_uncertainty_score":0.34565115},"labels":[],"label_agreement":null},{"id":"W1616478863","doi":"10.37236/585","title":"Counting the Number of Elements in the Mutation Classes of $\\tilde A_n-$Quivers","year":2011,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Quiver; Mathematics; Cluster algebra; Type (biology); Equivalence (formal languages); Tilde; Combinatorics; Product (mathematics); Pure mathematics; Geometry; Physics","score_opus":0.03247813008759766,"score_gpt":0.296360763325456,"score_spread":0.2638826332378584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1616478863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99637663,0.00040687632,0.0010029443,0.00016451172,0.00041532982,0.00020066393,5.163199e-7,0.0000038774147,0.0014286191],"genre_scores_gemma":[0.9996403,0.00018061715,0.000047340567,0.00003749879,0.00005361568,0.0000029753119,2.3123816e-7,0.00001550608,0.000021957685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99782574,0.0003176725,0.00077342556,0.00007577268,0.0006705979,0.0003367992],"domain_scores_gemma":[0.9973256,0.0007404919,0.0012982445,0.00030862243,0.00030784952,0.000019220899],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024813078,0.00013923697,0.00030625315,0.000056598543,0.00009759906,0.000014441157,0.0008901725,0.00006730467,0.000031185664],"category_scores_gemma":[0.00029439194,0.0000689305,0.00015037066,0.00039389197,0.00010968752,0.00012547745,0.000052295058,0.0005874747,7.590385e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000082158076,0.00015037465,0.0020129126,0.000026033289,0.000110720255,0.0000023414652,0.0048297513,0.000007664098,0.000050368413,0.992482,0.000103407285,0.00014228174],"study_design_scores_gemma":[0.00084767694,0.00025672282,0.0015623071,0.00004387274,0.00013930594,0.000074828815,0.0030175194,0.00004898496,0.0013386655,0.9925051,0.000096127485,0.00006892137],"about_ca_topic_score_codex":0.00004554659,"about_ca_topic_score_gemma":0.000009490656,"teacher_disagreement_score":0.0032635964,"about_ca_system_score_codex":0.00013522021,"about_ca_system_score_gemma":0.00026453394,"threshold_uncertainty_score":0.28109044},"labels":[],"label_agreement":null},{"id":"W1621000845","doi":"10.1016/j.aim.2015.06.005","title":"Quantum deformations of projective three-space","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering and Physical Sciences Research Council; University of Toronto","keywords":"Noncommutative geometry; Pure mathematics; Unimodular matrix; Projective space; Mathematics; Bimodule; Projective line; Space (punctuation); Quantization (signal processing); Complex projective space; Projective test; Algebra over a field; Computer science","score_opus":0.053123576551158624,"score_gpt":0.350389448379227,"score_spread":0.29726587182806835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1621000845","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70180136,0.008833302,0.22378337,0.0002448862,0.0054810513,0.0054689315,0.00019438146,0.0004337873,0.05375892],"genre_scores_gemma":[0.8969822,0.00039257322,0.10200872,0.000008507266,0.00016199594,0.00024592693,0.000017806971,0.000088371155,0.00009392969],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976759,0.000060469676,0.0010160374,0.0003335383,0.00059688155,0.00031720614],"domain_scores_gemma":[0.9970045,0.00055470166,0.0010682977,0.0009270678,0.00037356265,0.000071883405],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005947549,0.00040373273,0.00096646056,0.00021619932,0.00004274611,0.000029390514,0.0006512128,0.00035612675,0.000025475772],"category_scores_gemma":[0.001069066,0.0003418177,0.00017268654,0.00027049967,0.0001443497,0.00026060923,0.0006356019,0.00065677846,0.0000062217996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014801479,0.00021594208,0.00010466588,0.002271232,0.000047948583,0.0000021987257,0.0058753546,0.002411692,0.0000021137698,0.98843753,0.00013297817,0.0004835275],"study_design_scores_gemma":[0.00037934026,0.000051704585,0.000014394678,0.0008546149,0.00007235756,0.000005831943,0.0015054952,0.01491636,0.00010812427,0.9816081,0.00015205036,0.00033162112],"about_ca_topic_score_codex":0.000027466338,"about_ca_topic_score_gemma":0.00011529419,"teacher_disagreement_score":0.1951808,"about_ca_system_score_codex":0.00021357028,"about_ca_system_score_gemma":0.0002914877,"threshold_uncertainty_score":0.9999034},"labels":[],"label_agreement":null},{"id":"W1625021119","doi":"10.1090/crmp/035/07","title":"Cohomology with Grosshans graded coefficients","year":2004,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Ring (chemistry); Cohomology; Pure mathematics; Commutative property; Action (physics); Finitely-generated abelian group; Graded ring; Commutative ring; Group (periodic table); Cohomology ring; Algebra over a field; Discrete mathematics; Equivariant cohomology; Physics; Chemistry; Quantum mechanics","score_opus":0.026031234102481735,"score_gpt":0.25458030088256983,"score_spread":0.2285490667800881,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1625021119","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07750477,0.0017929776,0.012270934,0.0016421338,0.0033849038,0.0038695354,0.00007776252,0.0017301461,0.89772683],"genre_scores_gemma":[0.99671286,0.000027322236,0.00030405613,0.00037876796,0.0009000356,0.000038223126,0.000029093584,0.00027604523,0.0013335937],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99719435,0.0000041556755,0.0004944972,0.0009278285,0.0007519532,0.00062722754],"domain_scores_gemma":[0.99823695,0.00018982466,0.00057195063,0.00031877734,0.000493707,0.00018878715],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001278522,0.0009304891,0.0010406396,0.00021184175,0.0002777307,0.00016191503,0.0006177163,0.0012024246,0.00039367386],"category_scores_gemma":[0.00024853827,0.0007078767,0.00024340338,0.00010719129,0.0003114225,0.00008539628,0.00015174749,0.0011251526,0.00003065918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010681666,0.000034365916,0.000025905396,0.00029036545,0.00020661278,0.000023241286,0.0010933351,0.000010809415,0.000064920634,0.99769396,0.00008138457,0.00036827874],"study_design_scores_gemma":[0.0010229812,0.00047207397,0.000009055238,0.00056132337,0.00039009238,0.00016285892,0.000017122256,0.0000048362713,0.0013574328,0.99290127,0.0022714897,0.00082944287],"about_ca_topic_score_codex":0.000019054716,"about_ca_topic_score_gemma":0.0000103576995,"teacher_disagreement_score":0.9192081,"about_ca_system_score_codex":0.0002492803,"about_ca_system_score_gemma":0.00022433697,"threshold_uncertainty_score":0.9995372},"labels":[],"label_agreement":null},{"id":"W1635722406","doi":"10.37236/6251","title":"Combinatorics of Exceptional Sequences in Type A","year":2019,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"National Security Agency; National Science Foundation","keywords":"Quiver; Bijection; Dynkin diagram; Mathematics; Type (biology); Combinatorics; Class (philosophy); Lattice (music); Simple (philosophy); Diagram; Pure mathematics; Computer science; Physics; Artificial intelligence; Biology; Lie algebra","score_opus":0.03224969220112932,"score_gpt":0.3069867123356726,"score_spread":0.27473702013454326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1635722406","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9783463,0.0091150245,0.0013380457,0.00043569278,0.009365422,0.0005464629,0.000004799094,0.00001935765,0.0008289038],"genre_scores_gemma":[0.99695593,0.0023513795,0.000031201667,0.000025384237,0.00024094373,0.0000061458104,0.0000033270044,0.000060039514,0.00032563234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957359,0.00041028205,0.0015492315,0.00028347978,0.0013134179,0.0007077312],"domain_scores_gemma":[0.9946989,0.000984323,0.0024441339,0.0007805641,0.001007165,0.0000849429],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0023953745,0.0004547222,0.0012852437,0.0003486907,0.00006708644,0.000048761656,0.0018487318,0.0005140934,0.000046468333],"category_scores_gemma":[0.00060867466,0.0003264792,0.0004389018,0.0006898603,0.00015685667,0.00012240474,0.0005114764,0.0033091672,0.000003790955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017447537,0.00027490212,0.00075773423,0.00024106677,0.0002529613,0.000008226239,0.0005487284,0.0007891168,0.00003113277,0.9962256,0.00063937384,0.00005666651],"study_design_scores_gemma":[0.0013086365,0.000751766,0.000268276,0.00034172094,0.00018561374,0.000077781544,0.00017953727,0.0001719748,0.00025791442,0.99576694,0.0003870693,0.00030276162],"about_ca_topic_score_codex":0.000036268626,"about_ca_topic_score_gemma":0.000008638365,"teacher_disagreement_score":0.018609654,"about_ca_system_score_codex":0.00097585394,"about_ca_system_score_gemma":0.003035189,"threshold_uncertainty_score":0.9999187},"labels":[],"label_agreement":null},{"id":"W1639928264","doi":"10.1007/s10468-009-9179-9","title":"Cluster-Cyclic Quivers with Three Vertices and the Markov Equation","year":2010,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":70,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; Bishop's University","funders":"","keywords":"Quiver; Cluster algebra; Mathematics; Cluster (spacecraft); Markov chain; Combinatorics; Interpretation (philosophy); Pure mathematics; Subalgebra; Discrete mathematics; Algebra over a field; Computer science; Physics; Statistical physics","score_opus":0.016126072618783516,"score_gpt":0.2683802389075825,"score_spread":0.252254166288799,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1639928264","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99052006,0.000129279,0.00633482,0.00080752396,0.0003058901,0.00037178726,8.0673027e-7,0.00003763082,0.0014921913],"genre_scores_gemma":[0.9985279,0.00003773315,0.0009083956,0.00016906322,0.00012568077,0.000028828319,0.0000024054848,0.000015465399,0.00018451446],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991499,0.00013948884,0.0001680561,0.00022016857,0.00019367863,0.00012869418],"domain_scores_gemma":[0.9981238,0.001380288,0.00012579464,0.00026782564,0.00004819852,0.000054075583],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005088962,0.00012187879,0.00015616573,0.000036233847,0.00024751842,0.00009758754,0.000104744824,0.00007239758,0.000073284675],"category_scores_gemma":[0.00026108598,0.0000666372,0.000032802953,0.00008366782,0.00041738132,0.00018177384,0.00006937214,0.00016837545,0.0000017723745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042970947,0.000010962541,0.001834277,0.000015547263,0.00006016792,7.950254e-7,0.001333136,0.0000019860147,0.00013758986,0.99007833,0.00005784594,0.0060396306],"study_design_scores_gemma":[0.0020219143,0.0000377151,0.0057115657,0.000010414014,0.00009936859,0.000017531404,0.0008493997,0.0006033331,0.00027289265,0.990228,0.000041436862,0.000106424755],"about_ca_topic_score_codex":0.00006908278,"about_ca_topic_score_gemma":0.00008965615,"teacher_disagreement_score":0.008007842,"about_ca_system_score_codex":0.000004478913,"about_ca_system_score_gemma":0.000015400901,"threshold_uncertainty_score":0.2717386},"labels":[],"label_agreement":null},{"id":"W1646635477","doi":"10.2140/gt.2017.21.2557","title":"A geometric construction of colored HOMFLYPT homology","year":2017,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Categorification; Mathematics; Homology (biology); Colored; Pure mathematics; Sociology; Biology","score_opus":0.03631425268778833,"score_gpt":0.3224225651611789,"score_spread":0.2861083124733906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1646635477","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9897622,0.00018026018,0.0018444859,0.00041744742,0.0037279893,0.00023045742,0.0000107337455,0.000050363193,0.003776067],"genre_scores_gemma":[0.995057,0.000036323654,0.0043515414,0.000039210263,0.0002530698,0.000022749276,0.0000032204289,0.000020120067,0.00021680602],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986121,0.00007673047,0.0004214064,0.0003156892,0.00018955434,0.00038451448],"domain_scores_gemma":[0.9976872,0.00050314853,0.00061284786,0.0009586718,0.0001561989,0.0000819012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002690188,0.00018349831,0.0005930853,0.00048141446,0.00032406673,0.000028221944,0.000618125,0.0003498644,0.00070699723],"category_scores_gemma":[0.002059023,0.00017081613,0.00014174687,0.0003028862,0.00085548096,0.00010225303,0.00027551875,0.00022245647,0.000017206985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067115616,0.000061432394,0.013384826,0.000045512566,0.00010993486,0.000012339742,0.00007046238,0.0000012096933,0.00018926998,0.97745544,0.00037575423,0.008226705],"study_design_scores_gemma":[0.0009591785,0.00030769742,0.021027325,0.000008130287,0.00007281066,0.00015524625,0.00011112089,0.00001178731,0.002740174,0.97329897,0.0011289733,0.0001785827],"about_ca_topic_score_codex":0.0002524975,"about_ca_topic_score_gemma":0.000023893674,"teacher_disagreement_score":0.008048122,"about_ca_system_score_codex":0.00004428486,"about_ca_system_score_gemma":0.000066493965,"threshold_uncertainty_score":0.77411234},"labels":[],"label_agreement":null},{"id":"W1650149748","doi":"10.1016/j.jalgebra.2016.06.021","title":"Accumulation points of real Schur roots","year":2016,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Indecomposable module; Quiver; Algebraically closed field; Mathematics; Combinatorics; Dimension (graph theory); Type (biology); Group (periodic table); Pure mathematics; Physics","score_opus":0.0634668039577173,"score_gpt":0.35115857322612315,"score_spread":0.28769176926840584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1650149748","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9898185,0.00020619911,0.00403765,0.00047805533,0.0034353712,0.00020685984,0.000012079595,0.000020718007,0.001784577],"genre_scores_gemma":[0.99411184,0.0001415436,0.004202706,0.000022193793,0.0013467611,0.000001966825,0.00000184093,0.000047158886,0.00012397763],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99733007,0.00013187426,0.001326345,0.00020261607,0.000788983,0.00022013894],"domain_scores_gemma":[0.9954546,0.0003746799,0.0028374216,0.00051804975,0.0006840882,0.0001311734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006824674,0.00028667814,0.00087902375,0.0002470157,0.000039739753,0.000041328996,0.0006108911,0.00045517882,0.00019744024],"category_scores_gemma":[0.00057217816,0.00019999816,0.0005031181,0.0000802594,0.000056188703,0.00016934695,0.0003701592,0.00064292643,0.0000045520524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003537867,0.00016277838,0.0011068499,0.00048474944,0.0006558742,0.000031192474,0.00058292155,0.00005933563,0.00080857286,0.9875059,0.004772348,0.0034757073],"study_design_scores_gemma":[0.00088038144,0.00013865175,0.0039232587,0.0008249159,0.00017545676,0.00003696814,0.00002554712,0.000032646414,0.0018287472,0.9918399,0.00009720877,0.00019634022],"about_ca_topic_score_codex":0.000011490864,"about_ca_topic_score_gemma":0.0000015652355,"teacher_disagreement_score":0.004675139,"about_ca_system_score_codex":0.00013719201,"about_ca_system_score_gemma":0.00034193325,"threshold_uncertainty_score":0.8155688},"labels":[],"label_agreement":null},{"id":"W1655176552","doi":"10.1090/conm/546/10794","title":"Cup products in Hopf cyclic cohomology with coefficients in contramodules","year":2011,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Cohomology; Pure mathematics; Cyclic homology; Algebra over a field","score_opus":0.04148557510666207,"score_gpt":0.27882729270812656,"score_spread":0.2373417176014645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1655176552","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.064510666,0.0024158226,0.035696995,0.00069903955,0.0010073261,0.012314812,0.00020139417,0.0019139453,0.88124],"genre_scores_gemma":[0.6349416,0.00036353283,0.2351793,0.00074718444,0.0007809881,0.0016327272,0.00013759402,0.0042467564,0.12197035],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.994639,0.00027763293,0.0017231005,0.0012868711,0.00092646957,0.0011469389],"domain_scores_gemma":[0.9952877,0.0009980572,0.0016331247,0.0016736249,0.0001177819,0.00028971586],"candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.00090917974,0.0012873275,0.0033545606,0.00036722107,0.00007512684,0.000076172146,0.0011085354,0.0007237678,0.00082355906],"category_scores_gemma":[0.00064689416,0.0010038838,0.00040000008,0.001165436,0.0015969631,0.000117895244,0.00031950165,0.0011712911,0.00011968481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013993728,0.0045828135,0.00075521646,0.005947965,0.00081451813,0.00022030271,0.010845098,0.0000029212865,0.000023654415,0.84880686,0.12739955,0.00046116058],"study_design_scores_gemma":[0.003741056,0.00051389006,0.0000852518,0.0035879938,0.00019830643,0.00007654981,0.0031521562,0.00064523314,0.00006523343,0.9790549,0.0068677543,0.0020116756],"about_ca_topic_score_codex":0.00037432744,"about_ca_topic_score_gemma":0.00011283964,"teacher_disagreement_score":0.75926965,"about_ca_system_score_codex":0.0002540523,"about_ca_system_score_gemma":0.0004269565,"threshold_uncertainty_score":0.99998784},"labels":[],"label_agreement":null},{"id":"W1661934390","doi":"10.48550/arxiv.math/0309390","title":"Quantum Channels, Wavelets, Dilations and Representations of $O_n$","year":2003,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wavelet; Quantum; Pure mathematics; Mathematics; Mathematical physics; Physics; Algebra over a field; Computer science; Quantum mechanics; Artificial intelligence","score_opus":0.08849385129480712,"score_gpt":0.3287876930860911,"score_spread":0.240293841791284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1661934390","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99333125,0.0003830145,0.001957545,0.00033232308,0.0018288059,0.0004697549,0.000032464373,0.000066106935,0.0015987605],"genre_scores_gemma":[0.99776924,0.00015579523,0.0009969012,0.00004166087,0.0002103342,0.000060408627,0.000032915977,0.00004669415,0.00068606966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984179,0.0000937047,0.0005453895,0.00046072714,0.0002513757,0.00023090308],"domain_scores_gemma":[0.99824935,0.0002783321,0.00040373465,0.00080193515,0.00017205547,0.0000946179],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016928204,0.00027676063,0.00049403316,0.000104531275,0.00012955297,0.00003313042,0.00024074133,0.00031545066,0.00011268188],"category_scores_gemma":[0.00044493994,0.00026454145,0.00012991224,0.00013172059,0.0000900609,0.00006343214,0.00037692033,0.00042831217,0.000006094069],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010310293,0.000097786295,0.026326647,0.0003107935,0.00018380224,0.0000039814,0.0011106224,0.00007249865,0.00013783058,0.97001094,0.0016636857,0.00007110457],"study_design_scores_gemma":[0.00031182516,0.000031312808,0.018360082,0.0001124005,0.00014177422,0.0000059245494,0.00015211012,0.00035638685,0.00047405923,0.97950333,0.00027903303,0.0002717502],"about_ca_topic_score_codex":0.0001134788,"about_ca_topic_score_gemma":0.000008140325,"teacher_disagreement_score":0.009492404,"about_ca_system_score_codex":0.0000340584,"about_ca_system_score_gemma":0.00010207891,"threshold_uncertainty_score":0.9999807},"labels":[],"label_agreement":null},{"id":"W1662044802","doi":"10.1016/j.indag.2015.11.004","title":"Tate curves and UHF-algebras","year":2015,"lang":"en","type":"article","venue":"Indagationes Mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Ultra high frequency; Homogeneous; Norm (philosophy); Representation (politics); Pure mathematics; Algebra over a field; Closure (psychology); Ring (chemistry); Combinatorics; Computer science","score_opus":0.1103368209775429,"score_gpt":0.3335796422284615,"score_spread":0.2232428212509186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1662044802","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97870475,0.0007666531,0.006157345,0.00194326,0.00053758424,0.00083914376,0.0000056634976,0.00029165958,0.010753913],"genre_scores_gemma":[0.98857033,0.000036877478,0.010026712,0.0003020921,0.00016176103,0.00007423489,0.000005278606,0.00004246444,0.00078025355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870443,0.00006033531,0.00038283496,0.00022146256,0.00041943343,0.00021149918],"domain_scores_gemma":[0.99881375,0.00031261446,0.00018394549,0.00034967405,0.00016270207,0.00017729905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004706729,0.00018952822,0.00032598642,0.000062458996,0.00008837386,0.0000618318,0.00017133215,0.00008310698,0.0000986841],"category_scores_gemma":[0.001010432,0.00015370158,0.00004896318,0.00015926917,0.000094484254,0.00020406835,0.000100181125,0.000112641246,0.00005594885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000810543,0.000044449534,0.00010851266,0.00037428428,0.00003210201,0.0000027798667,0.0015525264,8.6479946e-7,0.000016693448,0.9920137,0.0053637372,0.00048226045],"study_design_scores_gemma":[0.00046000275,0.000045155568,0.00013746881,0.00024211423,0.000048706886,0.000038201735,0.000318281,0.00021854523,0.0003023426,0.9975953,0.00039378405,0.00020007315],"about_ca_topic_score_codex":0.00000635082,"about_ca_topic_score_gemma":0.0000028729935,"teacher_disagreement_score":0.009973659,"about_ca_system_score_codex":0.000029886742,"about_ca_system_score_gemma":0.00006295564,"threshold_uncertainty_score":0.6267769},"labels":[],"label_agreement":null},{"id":"W1663862489","doi":"10.1007/s00029-015-0193-y","title":"The non-equivariant coherent-constructible correspondence and a conjecture of King","year":2015,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Equivariant map; Coherent sheaf; Conjecture; Mathematics; Torus; Pure mathematics; Derived category; Toric variety; Variety (cybernetics); Combinatorics; Algebra over a field; Geometry; Functor","score_opus":0.04149083807826067,"score_gpt":0.2993521294075363,"score_spread":0.25786129132927565,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1663862489","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9858126,0.0003744076,0.005025582,0.00029788705,0.00060467137,0.00065524917,0.000004051026,0.00007602158,0.0071495534],"genre_scores_gemma":[0.9942073,0.00001021273,0.0052915807,0.000020108375,0.000071062925,0.000021241742,4.8611685e-7,0.000026624855,0.00035134418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986149,0.000072980045,0.000402618,0.00021470147,0.00039243634,0.00030236077],"domain_scores_gemma":[0.99805725,0.0009447149,0.00027232393,0.00043983525,0.00015856295,0.00012729062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005502703,0.00019590887,0.00037283677,0.00004565537,0.00015591721,0.00008232872,0.00027503938,0.00010491556,0.00004218903],"category_scores_gemma":[0.0010020029,0.00012317828,0.000059668575,0.00022486951,0.00021049267,0.00008366191,0.00013812823,0.00018880903,0.0000059307413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061018956,0.000027670452,0.000117752075,0.00011508315,0.000063165535,0.0000039515585,0.0020341342,0.0000011362417,0.0004921353,0.99557215,0.0010227633,0.00048901245],"study_design_scores_gemma":[0.0006104856,0.00013810289,0.00003096408,0.00010591979,0.000059411286,0.00014504966,0.0006441619,0.0012076212,0.0023642739,0.99432653,0.00021619254,0.00015130106],"about_ca_topic_score_codex":0.00002512041,"about_ca_topic_score_gemma":0.000013340269,"teacher_disagreement_score":0.008394762,"about_ca_system_score_codex":0.0000322225,"about_ca_system_score_gemma":0.00017900227,"threshold_uncertainty_score":0.50230646},"labels":[],"label_agreement":null},{"id":"W16695745","doi":"10.1090/fic/045/15","title":"On the finitistic global dimension conjecture for Artin algebras","year":2005,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":92,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Conjecture; Dimension (graph theory); Global dimension; Mathematics; Pure mathematics; Combinatorics","score_opus":0.02856403726937206,"score_gpt":0.29779833172279013,"score_spread":0.26923429445341807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W16695745","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00059568987,0.00028807175,0.007963439,0.0012430466,0.0021741835,0.0017442137,0.00017987622,0.00041904638,0.98539245],"genre_scores_gemma":[0.05972402,0.00001801644,0.0050294017,0.002842516,0.0026441861,0.0001813604,0.00004715466,0.00063749484,0.92887586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889284,0.000041169922,0.00021771227,0.0003133863,0.0002628324,0.00027207498],"domain_scores_gemma":[0.9984741,0.0007386774,0.00019133528,0.0005146569,0.00002520166,0.000056033085],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000087763874,0.00034046374,0.0003657831,0.000028923585,0.00008331315,0.000039018556,0.0002639495,0.0004024135,0.01151196],"category_scores_gemma":[0.00035985053,0.00019104563,0.00016973716,0.00006319199,0.000050919403,0.000007602562,0.000052685857,0.0001727877,0.00010852432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009508743,0.000014429855,2.360495e-7,0.000020181644,0.00003832122,8.673619e-7,0.000006403657,5.959799e-7,2.144278e-7,0.53221947,0.4673094,0.00038035365],"study_design_scores_gemma":[0.0003707687,0.00008113146,0.0000015374793,0.00010495241,0.00007304742,0.0000043139535,0.00000883915,0.000040073843,0.000014402872,0.8385308,0.16055778,0.00021235779],"about_ca_topic_score_codex":0.00003056119,"about_ca_topic_score_gemma":0.00010046425,"teacher_disagreement_score":0.3067516,"about_ca_system_score_codex":0.000056411518,"about_ca_system_score_gemma":0.00004774951,"threshold_uncertainty_score":0.9893916},"labels":[],"label_agreement":null},{"id":"W1669828853","doi":"10.48550/arxiv.math/0505082","title":"Finite-dimensional algebras and quivers","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Pure mathematics; Algebra over a field; Mathematics","score_opus":0.060389493342573125,"score_gpt":0.2969575815953888,"score_spread":0.2365680882528157,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1669828853","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9956555,0.0005178976,0.0001549947,0.00052758,0.0016271296,0.00029832218,0.000016755557,0.00014083559,0.0010610205],"genre_scores_gemma":[0.9960368,0.000068547175,0.0016010941,0.000437083,0.0008244682,0.00002540648,0.000022461176,0.000060694212,0.00092344114],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982571,0.000062197854,0.00038775182,0.0006075185,0.00034802032,0.0003374098],"domain_scores_gemma":[0.99844134,0.0004256266,0.00024263866,0.0006347238,0.00009525354,0.00016040081],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016633695,0.00040415727,0.0005057424,0.00008883081,0.00013653698,0.000047839865,0.00033027545,0.00048533292,0.000419484],"category_scores_gemma":[0.00026802951,0.0003708541,0.00017164143,0.000065173735,0.00009401628,0.00006800521,0.0009744207,0.0007210368,0.00006417719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017771072,0.00031201262,0.09875971,0.0006682653,0.000894474,0.00009876932,0.0023370269,0.00094940286,0.00014838777,0.8760285,0.017472701,0.0021530811],"study_design_scores_gemma":[0.00066109915,0.000045307217,0.013121579,0.00015356303,0.00015493133,0.000010380442,0.000051489653,0.0004889759,0.00025026675,0.9825571,0.001944088,0.0005612191],"about_ca_topic_score_codex":0.000068831534,"about_ca_topic_score_gemma":0.000011807432,"teacher_disagreement_score":0.10652864,"about_ca_system_score_codex":0.00007709805,"about_ca_system_score_gemma":0.00012881827,"threshold_uncertainty_score":0.99987435},"labels":[],"label_agreement":null},{"id":"W1677629278","doi":"10.37236/369","title":"The Ladder Crystal","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Lambda; Crystal (programming language); Combinatorics; Isomorphism (crystallography); Regularization (linguistics); Crystal structure; Crystallography; Physics; Computer science; Chemistry; Quantum mechanics","score_opus":0.009076421127972769,"score_gpt":0.26432919067363186,"score_spread":0.2552527695456591,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1677629278","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9870561,0.0013890625,0.0019056798,0.0025487104,0.0050137797,0.00017422179,3.6597694e-7,0.000026297199,0.0018858194],"genre_scores_gemma":[0.99852455,0.00021150184,0.000016168711,0.00005680908,0.0005461127,0.000003008215,1.0125565e-7,0.000029131927,0.00061261194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812335,0.00011791202,0.00048051687,0.000089468376,0.0006006462,0.0005881069],"domain_scores_gemma":[0.99749845,0.0010891965,0.00051727385,0.0004818235,0.00033197284,0.00008127482],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017653204,0.0001686347,0.00024261275,0.000037791015,0.00040552064,0.00010334898,0.0010873071,0.0001058795,0.00003239093],"category_scores_gemma":[0.00060701265,0.0000811169,0.00020838276,0.0002337256,0.00014335586,0.00010627705,0.000085660766,0.001827967,0.0000037583422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004320211,0.00004410201,0.000028155737,0.0000031385362,0.00009598643,0.0000022781721,0.00020176987,0.0000013930843,0.0002937501,0.99672604,0.002219288,0.00034087306],"study_design_scores_gemma":[0.00060273707,0.00022347734,0.000051129213,0.00000535431,0.000069466674,0.0002494642,0.00013717443,0.000022057746,0.00061833597,0.96492004,0.032999255,0.00010149666],"about_ca_topic_score_codex":0.000003354037,"about_ca_topic_score_gemma":0.000016870188,"teacher_disagreement_score":0.03180601,"about_ca_system_score_codex":0.000093591145,"about_ca_system_score_gemma":0.00045184503,"threshold_uncertainty_score":0.79417086},"labels":[],"label_agreement":null},{"id":"W1680856884","doi":"10.1007/978-3-8348-0352-8_7","title":"Introduction to Hopf-Cyclic Cohomology","year":2007,"lang":"en","type":"book-chapter","venue":"Vieweg eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria; Western University","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.05243770699664573,"score_gpt":0.3052070668272172,"score_spread":0.25276935983057147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1680856884","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0012462435,0.0002751295,0.0012950976,0.00043957462,0.005894545,0.0009796263,0.000012028609,0.0002487388,0.989609],"genre_scores_gemma":[0.004787259,0.00002634245,0.002017786,0.0009124335,0.009483811,0.00003913144,0.000017529357,0.00021064731,0.9825051],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799955,0.000024198498,0.0005799928,0.00062252046,0.00038727795,0.0003864667],"domain_scores_gemma":[0.9983498,0.00013835973,0.00028371063,0.00089057564,0.00015462788,0.00018295072],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00029868935,0.00047953572,0.00073918997,0.00025594057,0.00010625106,0.000029675886,0.00032983103,0.00067374436,0.0008403104],"category_scores_gemma":[0.00008950003,0.00044542406,0.00024058335,0.000019996462,0.00009204671,0.000019144632,0.00017310628,0.0005506109,0.00042202687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003297621,0.0000060194584,2.8285388e-7,0.000067006826,0.00008622322,0.000017713663,0.00012767343,3.9136935e-7,0.000023568198,0.9543181,0.03200117,0.013318838],"study_design_scores_gemma":[0.0001240483,0.00008244756,0.000001156179,0.000044709508,0.000074630676,0.000030320916,0.000002515712,2.9608864e-7,0.0001496023,0.5564606,0.44277364,0.00025601088],"about_ca_topic_score_codex":0.000009902238,"about_ca_topic_score_gemma":0.000024441417,"teacher_disagreement_score":0.41077247,"about_ca_system_score_codex":0.00015132954,"about_ca_system_score_gemma":0.00006590652,"threshold_uncertainty_score":0.9997997},"labels":[],"label_agreement":null},{"id":"W1706900853","doi":"10.1063/1.4967953","title":"Quantum Hurwitz numbers and Macdonald polynomials","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Macdonald polynomials; Schur polynomial; Askey–Wilson polynomials; Orthogonal polynomials; Symmetric group; Symmetric function; Monodromy; Discrete orthogonal polynomials; Generating function; Ring of symmetric functions","score_opus":0.03463749989501656,"score_gpt":0.2955260374011465,"score_spread":0.26088853750612995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1706900853","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95140827,0.00009709733,0.04420411,0.0015506811,0.0004968192,0.00014086717,0.0000042041866,0.000026698986,0.0020712751],"genre_scores_gemma":[0.99394816,0.000029896259,0.005009726,0.000083787876,0.0006761582,0.0000016967684,6.075694e-8,0.000031345913,0.00021917962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852043,0.00005776724,0.00062947633,0.00011932368,0.00044959574,0.00022342315],"domain_scores_gemma":[0.997833,0.001153927,0.00048356762,0.0002131391,0.00014069634,0.00017563673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041267023,0.00017842875,0.00052926334,0.000033384276,0.00005375598,0.000036336514,0.00021488096,0.00008782397,0.00015114954],"category_scores_gemma":[0.0005635223,0.0000976606,0.00018958996,0.00007106287,0.00012283816,0.00021105488,0.00007106311,0.00016053383,0.000017834662],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004421114,0.0001026604,0.000036733934,0.00007704203,0.00008591831,0.000008557683,0.00019456049,2.0295813e-7,0.0011732259,0.99220353,0.0026779335,0.0033953905],"study_design_scores_gemma":[0.0008443025,0.00012245744,0.00004075495,0.00022982295,0.00008750234,0.00010857171,0.00005775154,0.000030117462,0.0015261036,0.9965584,0.00025123125,0.00014293294],"about_ca_topic_score_codex":7.9642876e-7,"about_ca_topic_score_gemma":1.4085566e-7,"teacher_disagreement_score":0.042539902,"about_ca_system_score_codex":0.000043833676,"about_ca_system_score_gemma":0.000051487714,"threshold_uncertainty_score":0.39824837},"labels":[],"label_agreement":null},{"id":"W1706968406","doi":"10.46298/dmtcs.2825","title":"Combinatorial formulas for double parabolic R-polynomials","year":2010,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Hecke algebra; Polynomial; Pure mathematics; Simple (philosophy); Combinatorics; Computation; Algebra over a field; Mathematical analysis; Algorithm; Philosophy","score_opus":0.018561700290921274,"score_gpt":0.2948552762722648,"score_spread":0.2762935759813435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1706968406","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28480202,0.000228504,0.65230316,0.0029918791,0.04545563,0.0032938644,0.00009778043,0.00029110178,0.010536045],"genre_scores_gemma":[0.8090225,0.000012524429,0.18700986,0.0001817733,0.0033035814,0.0001328495,0.000007915319,0.000116481315,0.00021252218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9938156,0.00008910942,0.0014130084,0.0012532299,0.0014852158,0.0019438507],"domain_scores_gemma":[0.99374366,0.0021180226,0.0005607945,0.0019374788,0.0007354821,0.000904591],"candidate_categories":["metaepi_narrow","sts","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.003420141,0.00085675303,0.0012648444,0.0002390527,0.0012432715,0.0012761591,0.0028683986,0.00062400225,0.0007254139],"category_scores_gemma":[0.0009053941,0.0007353722,0.00059280905,0.000845862,0.0069336076,0.00069865905,0.0011581872,0.0010047805,0.00012117998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000117137286,0.00042584346,0.000004835663,0.0004949726,0.00006690363,0.000005118436,0.002146092,0.000015844447,0.00093847513,0.9932009,0.00048832066,0.002095587],"study_design_scores_gemma":[0.0026774784,0.00042036374,0.0000049607975,0.0001993963,0.00022126049,0.00006550551,0.00007825039,0.13196765,0.007411942,0.85395736,0.0021883314,0.0008075235],"about_ca_topic_score_codex":0.000015493748,"about_ca_topic_score_gemma":0.000004910997,"teacher_disagreement_score":0.52422047,"about_ca_system_score_codex":0.0001162175,"about_ca_system_score_gemma":0.0005471994,"threshold_uncertainty_score":0.9997606},"labels":[],"label_agreement":null},{"id":"W1713815371","doi":"10.1007/s11232-007-0094-0","title":"Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy","year":2007,"lang":"en","type":"article","venue":"Theoretical and Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University; Université du Québec à Montréal","funders":"","keywords":"Toda lattice; Hierarchy; Lattice (music); Partition function (quantum field theory); Matrix model; Ramanujan tau function; Representation (politics)","score_opus":0.02251710415800375,"score_gpt":0.2794772809628016,"score_spread":0.2569601768047979,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1713815371","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6069527,0.00004446932,0.3911005,0.00049208914,0.00016457184,0.0007390054,0.0000037889786,0.000028370423,0.00047449965],"genre_scores_gemma":[0.9923034,0.000012575036,0.0074086883,0.00007875034,0.00013162434,0.000031661726,0.0000012291919,0.00001728459,0.000014814867],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998866,0.00009034125,0.00039433903,0.00017939383,0.00024836164,0.00022156435],"domain_scores_gemma":[0.99694216,0.0024940798,0.0001416147,0.00025788049,0.00009350069,0.000070767805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007607916,0.00016007951,0.00032455157,0.000013403355,0.00021151065,0.00002629307,0.000111867346,0.0000930787,0.00001436551],"category_scores_gemma":[0.00030492694,0.00008056288,0.000129896,0.000081538594,0.001507857,0.00007913291,0.000107560896,0.00016486984,7.2178693e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042709295,0.0000803045,0.0000029925666,0.00021204198,0.00004013722,7.342398e-8,0.0005142412,0.000010240151,0.00008789787,0.9966594,0.000005347503,0.001960214],"study_design_scores_gemma":[0.001610052,0.00005809185,0.000026554924,0.000058883208,0.00022839537,0.000008904654,0.00020059267,0.033230234,0.0011616433,0.96331215,0.000004043449,0.00010048551],"about_ca_topic_score_codex":0.000001812874,"about_ca_topic_score_gemma":4.1796181e-7,"teacher_disagreement_score":0.38535067,"about_ca_system_score_codex":0.000015494665,"about_ca_system_score_gemma":0.000012248671,"threshold_uncertainty_score":0.5555762},"labels":[],"label_agreement":null},{"id":"W1745177313","doi":"10.1090/conm/643/12895","title":"Cluster categories for topologists","year":2015,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Cluster (spacecraft); Computer science; Programming language","score_opus":0.07195569600697088,"score_gpt":0.33795739651234175,"score_spread":0.26600170050537086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1745177313","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00029949803,0.001621202,0.13119331,0.0011241125,0.0015025731,0.006202279,0.0006615943,0.0024709026,0.8549245],"genre_scores_gemma":[0.0064955507,0.000076936514,0.34017733,0.0007944555,0.0020398805,0.0011051703,0.0002189394,0.002714696,0.646377],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956376,0.00012748316,0.0013869627,0.0009381686,0.0010062136,0.00090356806],"domain_scores_gemma":[0.99400014,0.0018879615,0.0017179906,0.0016138757,0.00028918477,0.00049086835],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010550943,0.0012022329,0.0027679186,0.00012674589,0.000175185,0.00015898072,0.0010817216,0.0007850131,0.000851792],"category_scores_gemma":[0.0015168757,0.0009597401,0.0010645137,0.00042720066,0.0014189355,0.00010575676,0.0004148063,0.0005882356,0.00013390183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016310823,0.0002555731,0.0000016795838,0.0017845385,0.00043610542,0.000002489215,0.0014621522,2.3804654e-7,0.0000011736493,0.36417344,0.631793,0.00007329104],"study_design_scores_gemma":[0.00095408794,0.00021372053,1.3322195e-7,0.00037370902,0.0002423956,0.00001443916,0.002251297,0.0006369469,0.000010149291,0.77089304,0.22351272,0.00089738943],"about_ca_topic_score_codex":0.00006287941,"about_ca_topic_score_gemma":0.000011750065,"teacher_disagreement_score":0.4082803,"about_ca_system_score_codex":0.00022101258,"about_ca_system_score_gemma":0.0005507038,"threshold_uncertainty_score":0.9992853},"labels":[],"label_agreement":null},{"id":"W1747802576","doi":"10.4310/jsg.2016.v14.n1.a9","title":"Linearization of Poisson Lie group structures","year":2016,"lang":"en","type":"preprint","venue":"Journal of Symplectic Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Poisson distribution; Mathematics; Lie group; Group (periodic table); Linearizability; Pure mathematics; Linearization; Multiplication (music); Lie theory; Adjoint representation; Algebra over a field; Combinatorics; Nonlinear system; Adjoint representation of a Lie algebra; Physics; Lie conformal algebra; Statistics; Quantum mechanics","score_opus":0.035381884930058824,"score_gpt":0.3111295797008348,"score_spread":0.275747694770776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1747802576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9587813,0.0008773209,0.03440692,0.00022288301,0.005059602,0.00023080832,0.000017870016,0.000023124594,0.00038018773],"genre_scores_gemma":[0.99405116,0.00012804521,0.004029502,0.000028487273,0.0016314537,0.0000022958482,0.0000035064495,0.000056641053,0.00006888515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971135,0.00012988763,0.0013502197,0.00024770858,0.00088324957,0.00027539997],"domain_scores_gemma":[0.9951509,0.00061051827,0.0028666218,0.0004935567,0.0007424042,0.00013597858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063416065,0.000341485,0.0010103319,0.0006782181,0.00006159323,0.00006122763,0.0006278717,0.0005454091,0.00023762928],"category_scores_gemma":[0.0017413414,0.00023814455,0.00047536773,0.00032239404,0.00006976201,0.00011533486,0.0003524953,0.00083691167,0.0000013202623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002642618,0.0002172565,0.0022281797,0.0014997177,0.0011678818,0.000025359412,0.00065375434,0.00014512772,0.002444725,0.98384565,0.0020365845,0.005471493],"study_design_scores_gemma":[0.0007611649,0.00028032507,0.0022742695,0.0005313448,0.00029929017,0.0000858021,0.000048478676,0.000023843777,0.0020818282,0.99328905,0.00009139165,0.0002331859],"about_ca_topic_score_codex":0.000013249995,"about_ca_topic_score_gemma":0.0000018845726,"teacher_disagreement_score":0.035269897,"about_ca_system_score_codex":0.00018084112,"about_ca_system_score_gemma":0.00027140422,"threshold_uncertainty_score":0.9711253},"labels":[],"label_agreement":null},{"id":"W1756321225","doi":"10.1090/s1088-4165-03-00179-1","title":"Rational smoothness of varieties of representations for quivers of type 𝐴","year":2003,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Type (biology); Algorithm; Annotation; Pure mathematics; Algebra over a field; Computer science; Artificial intelligence","score_opus":0.04517790641525335,"score_gpt":0.34019985586930895,"score_spread":0.2950219494540556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1756321225","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8882671,0.00003067787,0.109030396,0.000099173696,0.00015531754,0.00060275284,0.000028948865,0.000012841249,0.0017728064],"genre_scores_gemma":[0.97202706,0.000009431858,0.027675215,0.000016424901,0.000015171749,0.000018939529,0.0000025365905,0.000016045153,0.00021917108],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983654,0.00025817394,0.00067824696,0.00015375714,0.000426906,0.000117537806],"domain_scores_gemma":[0.99487174,0.0029641676,0.0011913314,0.0004825303,0.00046054012,0.000029713865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006506834,0.00011360869,0.0005141765,0.000027072554,0.00006328709,0.0000038994826,0.00026551736,0.000047449725,0.00012321427],"category_scores_gemma":[0.0023961142,0.00008302585,0.00046714436,0.0004193708,0.001048957,0.000059600407,0.000055833814,0.000065608045,2.6242682e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010430812,0.00016047698,0.0005446436,0.00032736867,0.0002187845,1.4308052e-8,0.0030324862,0.00020556746,0.004234518,0.9907843,0.00029340963,0.0000941164],"study_design_scores_gemma":[0.000374902,0.000084663836,0.0006103038,0.00003678148,0.0001440576,0.0000010664093,0.006711852,0.00029142984,0.055771314,0.9358983,0.000007125399,0.00006818959],"about_ca_topic_score_codex":0.000016896662,"about_ca_topic_score_gemma":2.7669046e-7,"teacher_disagreement_score":0.08375998,"about_ca_system_score_codex":0.00001905618,"about_ca_system_score_gemma":0.00010211992,"threshold_uncertainty_score":0.38649258},"labels":[],"label_agreement":null},{"id":"W1759272609","doi":"10.1090/s1088-4165-00-00090-x","title":"On the spanning vectors of Lusztig cones","year":2000,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Annotation; Algorithm; Computer science; Type (biology); Artificial intelligence; Biology","score_opus":0.02845852329092331,"score_gpt":0.2987117332429028,"score_spread":0.2702532099519795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1759272609","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9893284,0.00008272977,0.0019092083,0.0016080362,0.00022865532,0.0007478776,0.0000220518,0.000036211266,0.006036843],"genre_scores_gemma":[0.9964601,0.00007598713,0.0009114378,0.000534993,0.00011841689,0.000025690095,0.0000013124532,0.00005487577,0.001817213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962884,0.0009861626,0.0009984378,0.0003677581,0.0009873109,0.00037192507],"domain_scores_gemma":[0.98954135,0.0075115226,0.001330724,0.001380666,0.00014877426,0.000086935856],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012520141,0.0003583988,0.00092520943,0.000023949697,0.0003267471,0.00004244946,0.000968374,0.00011464486,0.0031216878],"category_scores_gemma":[0.0013735088,0.00019978127,0.0011692117,0.00068733527,0.0025955692,0.00007063521,0.00019022694,0.00042880862,0.000046251236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019931594,0.0002826276,0.00009651706,0.00024217006,0.00052463356,3.2943782e-7,0.009727378,0.0003212167,0.0004961256,0.9838228,0.0019185934,0.0023682683],"study_design_scores_gemma":[0.00036782474,0.00015302634,0.0007724684,0.0003416439,0.0003101811,0.0000049916293,0.0077994308,0.0015158306,0.0068779625,0.98161274,0.000039568862,0.00020430758],"about_ca_topic_score_codex":0.00005509961,"about_ca_topic_score_gemma":3.042942e-7,"teacher_disagreement_score":0.0071316874,"about_ca_system_score_codex":0.00006677948,"about_ca_system_score_gemma":0.000081366314,"threshold_uncertainty_score":0.9977896},"labels":[],"label_agreement":null},{"id":"W1763107134","doi":"10.1007/s11005-007-0182-y","title":"Paths for $${\\mathcal{Z}}_k$$ Parafermionic Models","year":2007,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Bijection; Lattice (music); Basis (linear algebra); Path (computing); Physics; Combinatorics; Statistical physics; Mathematical physics; Mathematics; Computer science; Geometry","score_opus":0.05932444277524811,"score_gpt":0.32522947258414403,"score_spread":0.2659050298088959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1763107134","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3106983,0.000021227965,0.6862341,0.0005459909,0.00029185062,0.00069615,0.000003944611,0.00011241814,0.001395984],"genre_scores_gemma":[0.9509523,0.000002763398,0.047081813,0.0012066357,0.00051002635,0.00009817585,0.0000049148243,0.00008112289,0.00006223338],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977394,0.000039976272,0.0007064325,0.00038573408,0.00043151804,0.00069695583],"domain_scores_gemma":[0.9975025,0.0015929851,0.00016082829,0.000564621,0.000053910975,0.00012517802],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007404361,0.00032227836,0.0005670776,0.00006412048,0.000097064854,0.000045974946,0.0003892966,0.00017048947,0.000025010306],"category_scores_gemma":[0.0002134421,0.00028164694,0.00025542692,0.00023746757,0.000106869185,0.00019693335,0.00008829428,0.0003225861,0.000019388148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042287676,0.00021025576,0.00001134558,0.00024943304,0.000026537606,0.000009320967,0.0007183634,0.0001920804,0.00034053827,0.99604404,0.0006700648,0.0014857585],"study_design_scores_gemma":[0.00084559305,0.0000398349,0.000013673133,0.000121985104,0.000035945723,0.000005325733,0.00007240984,0.010775909,0.00094966986,0.9867503,0.00005615157,0.00033320024],"about_ca_topic_score_codex":0.0000026679136,"about_ca_topic_score_gemma":0.000001987107,"teacher_disagreement_score":0.640254,"about_ca_system_score_codex":0.00011935748,"about_ca_system_score_gemma":0.000023084696,"threshold_uncertainty_score":0.9999636},"labels":[],"label_agreement":null},{"id":"W1768587886","doi":"10.1090/tran/6773","title":"Hochster duality in derived categories and point-free reconstruction of schemes","year":2015,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Ministerio de Economía y Competitividad","keywords":"Duality (order theory); Mathematics; Tensor (intrinsic definition); Frame (networking); Pure mathematics; Commutative property; Mathematical proof; Point (geometry); Scheme (mathematics); Algebra over a field; Topology (electrical circuits); Discrete mathematics; Computer science; Combinatorics; Geometry; Mathematical analysis","score_opus":0.03558749979210072,"score_gpt":0.29651561207228716,"score_spread":0.2609281122801864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1768587886","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9652737,0.00007859724,0.033056673,0.00057491247,0.0002279479,0.00046268175,0.000048266844,0.000035166842,0.00024207121],"genre_scores_gemma":[0.9542229,0.000065209766,0.045543768,0.00002281117,0.000028961857,0.000039620674,0.0000010740887,0.000028422666,0.00004719742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981858,0.00015779621,0.0007733624,0.00029726795,0.00038086437,0.00020488485],"domain_scores_gemma":[0.9975447,0.000421961,0.0007793107,0.0010027899,0.00017899758,0.00007220774],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005105375,0.00027567038,0.0009831184,0.000038966115,0.000063431726,0.000019542342,0.0005157898,0.00019567677,0.000049324826],"category_scores_gemma":[0.00028284488,0.00020031742,0.00047152318,0.00024085681,0.001372206,0.00007351251,0.0002241056,0.0005884135,3.99531e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006764478,0.0023879088,0.0027773646,0.017939193,0.003697955,0.0000018283646,0.06450656,0.0007006482,0.0039027357,0.8823772,0.0018040529,0.019228116],"study_design_scores_gemma":[0.0004490043,0.000046314955,0.00034352904,0.0002590248,0.00021207158,0.000012091685,0.0026994757,0.0007352566,0.0024898318,0.9925607,0.0000034915613,0.00018923277],"about_ca_topic_score_codex":0.00021265139,"about_ca_topic_score_gemma":0.000020736521,"teacher_disagreement_score":0.110183485,"about_ca_system_score_codex":0.000100542595,"about_ca_system_score_gemma":0.00015712091,"threshold_uncertainty_score":0.8168707},"labels":[],"label_agreement":null},{"id":"W1769264338","doi":"10.1007/s00209-018-2190-2","title":"t-structures on hereditary categories","year":2018,"lang":"de","type":"preprint","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Torsion (gastropod); Abelian group; Mathematics; Pure mathematics; Sequence (biology); Finitely-generated abelian group; Algebra over a field; Abelian category; Modular design; Dedekind cut; Computer science; Programming language","score_opus":0.032449220299861754,"score_gpt":0.28832667463076694,"score_spread":0.2558774543309052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1769264338","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60509336,0.011252058,0.009366139,0.0030568286,0.086953424,0.009925203,0.0015146354,0.0032264239,0.26961192],"genre_scores_gemma":[0.96219295,0.00036202613,0.015574673,0.00067929726,0.01452405,0.00040836417,0.00039387538,0.00078017643,0.005084592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99055344,0.00052989216,0.002372863,0.002462344,0.0023140654,0.001767386],"domain_scores_gemma":[0.9911191,0.0013444263,0.0018000456,0.004414118,0.0006580046,0.0006643362],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0010967618,0.0025831168,0.0029466941,0.00047347488,0.000898358,0.0007536787,0.002802621,0.0026715803,0.0073074778],"category_scores_gemma":[0.0013286738,0.0021692507,0.0011679843,0.00045934165,0.00083701254,0.00026063542,0.0024769611,0.0032007063,0.00552006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022189913,0.00035556877,0.000035246863,0.002433272,0.0014638746,0.00014558,0.004352427,0.00004961013,0.000031179767,0.91127765,0.078989536,0.0006441613],"study_design_scores_gemma":[0.0013045615,0.0005834673,0.00015952074,0.0014835956,0.0009896212,0.0001316581,0.00042307432,0.00036219714,0.0032483449,0.9378127,0.051284794,0.002216468],"about_ca_topic_score_codex":0.0001523087,"about_ca_topic_score_gemma":0.000018606479,"teacher_disagreement_score":0.35709956,"about_ca_system_score_codex":0.00007156311,"about_ca_system_score_gemma":0.0006024916,"threshold_uncertainty_score":0.99909896},"labels":[],"label_agreement":null},{"id":"W1780765243","doi":"10.1016/j.nuclphysb.2004.02.039","title":"Logarithmic lift of the (2) model","year":2004,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Université de Montréal","funders":"","keywords":"Lift (data mining); Logarithm; Mathematics; Computer science; Mathematical analysis; Data mining","score_opus":0.03139133808879965,"score_gpt":0.2598944320733564,"score_spread":0.22850309398455673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1780765243","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99050415,0.000007009055,0.002821494,0.00022528622,0.0002760203,0.0001391648,0.0000038735225,0.000046115998,0.00597687],"genre_scores_gemma":[0.99743974,0.0000013892728,0.0022002363,0.00011808726,0.000110895264,0.0000013193547,1.8959685e-7,0.000026356003,0.000101812766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947643,0.0000075862317,0.00011870726,0.00009981502,0.00018570776,0.00011175559],"domain_scores_gemma":[0.9994772,0.000019346606,0.00008173154,0.00035716753,0.00004139999,0.000023137172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00003266709,0.000081955026,0.00012688943,0.0000064775095,0.00006724685,0.00000938177,0.0002575019,0.00005010236,0.000013504822],"category_scores_gemma":[0.000020262522,0.000056715344,0.00010892104,0.00008366927,0.000060316263,0.000044627493,0.00009726496,0.000119166834,0.000009494971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004357566,0.000045377765,0.000003882304,0.000013836375,0.000012812072,1.2834813e-7,0.00056492543,0.002354556,0.00052469433,0.9960688,0.00015804938,0.00024858446],"study_design_scores_gemma":[0.00030809766,0.000015155672,0.000032461227,0.000018857505,0.00001714702,7.553081e-7,0.000025224763,0.002823465,0.0014766592,0.9951472,0.00006955409,0.00006538405],"about_ca_topic_score_codex":0.00001622306,"about_ca_topic_score_gemma":9.670807e-7,"teacher_disagreement_score":0.0069355485,"about_ca_system_score_codex":0.00003031573,"about_ca_system_score_gemma":0.000033710763,"threshold_uncertainty_score":0.23127845},"labels":[],"label_agreement":null},{"id":"W1788374992","doi":"10.1112/blms/bdv041","title":"Lattice structure of torsion classes for path algebras","year":2015,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada; Japan Society for the Promotion of Science; Norges Forskningsråd; National Science Foundation","keywords":"Quiver; Torsion (gastropod); Lattice (music); Path (computing); Finite set","score_opus":0.03393834123520155,"score_gpt":0.2829367872828487,"score_spread":0.24899844604764715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1788374992","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98798174,0.00018113964,0.0071150884,0.0019545017,0.0005873079,0.0010498003,0.000050629063,0.000060043367,0.0010197338],"genre_scores_gemma":[0.9045323,0.0000061609553,0.09433275,0.00020247746,0.00016903445,0.000015222691,0.0000024289452,0.00004436576,0.000695271],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829316,0.000082154605,0.00057486055,0.00021438603,0.0005789218,0.00025651953],"domain_scores_gemma":[0.9976623,0.0009384713,0.00043573347,0.0005725105,0.00028749977,0.00010348964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043870514,0.0002145564,0.0005372759,0.0000105166255,0.00008313859,0.000015849135,0.0005375963,0.00023205634,0.0002619924],"category_scores_gemma":[0.001447383,0.00013089516,0.000543653,0.00011361964,0.00019917033,0.000020041429,0.00023810803,0.00017852365,0.000003892977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054441207,0.0001392067,0.000052786912,0.000791313,0.00009399655,9.61939e-8,0.0010192372,0.000007444204,0.00074079423,0.9318669,0.06515812,0.000075688695],"study_design_scores_gemma":[0.0009940227,0.00011190319,0.000026809726,0.00014292623,0.00014374011,0.000004522571,0.00045128315,0.00028306412,0.012331926,0.97955847,0.005805098,0.0001462592],"about_ca_topic_score_codex":0.0000109225875,"about_ca_topic_score_gemma":5.2500616e-7,"teacher_disagreement_score":0.08721766,"about_ca_system_score_codex":0.000050651706,"about_ca_system_score_gemma":0.00006899881,"threshold_uncertainty_score":0.533775},"labels":[],"label_agreement":null},{"id":"W1788838903","doi":"10.1063/1.4890818","title":"Finite dimensional Kadomtsev-Petviashvili τ-functions. I. Finite Grassmannians","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; Université de Montréal","funders":"","keywords":"Grassmannian; Hilbert space; Exponential function; Abelian group; Expression (computer science); Space (punctuation); Exponential type; Matrix (chemical analysis); Hierarchy","score_opus":0.027966518306637708,"score_gpt":0.27253433998960747,"score_spread":0.24456782168296975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1788838903","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24018116,0.00006744219,0.74990755,0.0008423873,0.0019687098,0.00025710763,0.000008147013,0.0000890086,0.006678493],"genre_scores_gemma":[0.98223644,0.0000033701565,0.0153252715,0.00026035288,0.0015090804,0.0000050342082,0.0000017696826,0.00005703563,0.00060164905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99753803,0.0001377364,0.0009440809,0.00018771141,0.0008583028,0.00033414873],"domain_scores_gemma":[0.9952024,0.0030851774,0.00067646516,0.0004233446,0.0003836865,0.00022891081],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007049365,0.00028832094,0.00071366853,0.00008012271,0.00015465147,0.00006634639,0.00036958203,0.0001410683,0.00023596827],"category_scores_gemma":[0.0019581032,0.00021147753,0.00038777816,0.00021538805,0.00012172978,0.0002348621,0.00009321808,0.00054633775,0.00011169755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057204987,0.00044081453,0.000030732575,0.00014122867,0.00015000737,0.000009878199,0.000296001,0.0013194504,0.000105025,0.9895442,0.006279068,0.0016263947],"study_design_scores_gemma":[0.00087224494,0.0003184971,0.000030610438,0.00017291581,0.00017391265,0.000055931203,0.00004695302,0.0088020675,0.00021897849,0.98795736,0.0011211564,0.00022937763],"about_ca_topic_score_codex":7.0688515e-7,"about_ca_topic_score_gemma":2.9279545e-7,"teacher_disagreement_score":0.7420553,"about_ca_system_score_codex":0.000055854165,"about_ca_system_score_gemma":0.000076641176,"threshold_uncertainty_score":0.8623803},"labels":[],"label_agreement":null},{"id":"W1822534309","doi":"10.1007/978-3-0348-0405-9_14","title":"The Tamari Lattice as it Arises in Quiver Representations","year":2012,"lang":"en","type":"book-chapter","venue":"Progress in mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Lattice (music); Mathematics; Partially ordered set; Pure mathematics; Algebra over a field; Combinatorics; Physics","score_opus":0.05743639483567924,"score_gpt":0.34689767744740807,"score_spread":0.2894612826117288,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1822534309","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0073515577,0.015611857,0.00024712778,0.0018514686,0.0023950594,0.004018238,0.000028682469,0.00026214632,0.9682339],"genre_scores_gemma":[0.17974658,0.0053531947,0.049589936,0.00037015657,0.002262992,0.0014884676,0.00006025411,0.0010689524,0.7600595],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99725497,0.00005817765,0.0010627034,0.0003802383,0.00071217853,0.0005317062],"domain_scores_gemma":[0.99600637,0.0020387245,0.0006580836,0.001071958,0.00012629406,0.0000985445],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00074637803,0.0004891696,0.000684124,0.00017433772,0.0001703271,0.00015032517,0.0007264771,0.0005098967,0.0003675907],"category_scores_gemma":[0.00050296535,0.00036307808,0.00018722015,0.000099568366,0.00032223898,0.00013576895,0.00036181725,0.00085467345,0.00012341318],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015055619,0.00011691569,0.00026480504,0.0003225239,0.000079655176,0.000022276921,0.0028006716,0.000001428424,7.429047e-8,0.99180925,0.001190038,0.0033773128],"study_design_scores_gemma":[0.00037213243,0.000026033013,0.00004867737,0.0006076054,0.0001285738,0.000019816736,0.00041355155,0.00014815193,0.0000073672145,0.9836998,0.014139392,0.00038892764],"about_ca_topic_score_codex":0.000014602841,"about_ca_topic_score_gemma":0.00011971812,"teacher_disagreement_score":0.20817441,"about_ca_system_score_codex":0.000161748,"about_ca_system_score_gemma":0.00010749725,"threshold_uncertainty_score":0.9998821},"labels":[],"label_agreement":null},{"id":"W1823028043","doi":"10.1090/conm/478/09327","title":"Quivers and the Euclidean group","year":2009,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Euclidean geometry; Group (periodic table); Euclidean group; Pure mathematics; Combinatorics; Algebra over a field; Affine space; Geometry; Affine transformation","score_opus":0.02656907627462563,"score_gpt":0.2780076248790749,"score_spread":0.25143854860444925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1823028043","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0007433154,0.0028084437,0.027206263,0.0019778165,0.0004554555,0.0038709128,0.00006948134,0.0015250416,0.9613433],"genre_scores_gemma":[0.079330616,0.0022143072,0.32129776,0.0050370446,0.003138263,0.0007493929,0.00010192636,0.0046428777,0.5834878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959317,0.00027932355,0.0012163486,0.0008334253,0.0010309656,0.000708253],"domain_scores_gemma":[0.9939575,0.0024193341,0.0016452793,0.0015627862,0.0000668801,0.00034817323],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.001240822,0.001100628,0.0026053158,0.00009946374,0.0002792568,0.00022103527,0.0010349255,0.0005002081,0.0007564516],"category_scores_gemma":[0.0006371221,0.00069800136,0.0010291655,0.00042391403,0.003043192,0.000096067895,0.0004261663,0.000901811,0.00008104698],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021764878,0.00016997464,0.0000020616694,0.0006445715,0.00043891906,0.000005747571,0.0019509922,4.324941e-8,0.00000119057,0.65958124,0.33670026,0.000483235],"study_design_scores_gemma":[0.0021160247,0.00012792785,0.000002236139,0.000672468,0.00037213397,0.000031916163,0.0027101254,0.0006108299,0.0000023346222,0.9522816,0.040256724,0.00081568165],"about_ca_topic_score_codex":0.00010081633,"about_ca_topic_score_gemma":0.000007150367,"teacher_disagreement_score":0.37785545,"about_ca_system_score_codex":0.000093343755,"about_ca_system_score_gemma":0.00011949282,"threshold_uncertainty_score":0.99966997},"labels":[],"label_agreement":null},{"id":"W1823537326","doi":"10.1090/conm/610/12130","title":"Macdonald polynomials, Laumon spaces and perverse coherent sheaves","year":2014,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Conjecture; Resolution (logic); Base change; Interpretation (philosophy); Space (punctuation); Base (topology); Pure mathematics; Coherent sheaf; Affine transformation; Statement (logic); Simple (philosophy); Discrete mathematics; Algebra over a field; Mathematical analysis; Linguistics; Computer science","score_opus":0.03363821581762955,"score_gpt":0.28761622227226763,"score_spread":0.2539780064546381,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1823537326","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016453514,0.00440432,0.02835967,0.002088529,0.0012950646,0.005617483,0.000339529,0.0030111065,0.9384308],"genre_scores_gemma":[0.16472666,0.0012258587,0.25333524,0.0018060015,0.0037247974,0.00078591664,0.00016447839,0.0056549013,0.56857616],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99537873,0.00022897814,0.00138658,0.0010825156,0.0010895968,0.0008336106],"domain_scores_gemma":[0.99451965,0.0015133617,0.0018423039,0.0014616031,0.000088802706,0.0005743015],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.00082025747,0.0013504782,0.003000499,0.00015068326,0.00021523699,0.0002790211,0.00082138093,0.0006863102,0.0022023285],"category_scores_gemma":[0.00051037816,0.0010977247,0.0009020754,0.00031991708,0.0014915594,0.000107531414,0.0005552035,0.00079817325,0.00018530562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014518764,0.00036799235,0.000030523257,0.0032002283,0.00070016016,0.0000084925205,0.0018027553,1.2639866e-7,0.00001604765,0.44273838,0.5506869,0.00043390543],"study_design_scores_gemma":[0.0012956593,0.00031183453,0.000010879325,0.001837949,0.0004955544,0.000044686516,0.0035123448,0.0015832003,0.000030672076,0.8844412,0.10467113,0.001764879],"about_ca_topic_score_codex":0.00013984411,"about_ca_topic_score_gemma":0.000013999329,"teacher_disagreement_score":0.44601575,"about_ca_system_score_codex":0.00012857861,"about_ca_system_score_gemma":0.00019393695,"threshold_uncertainty_score":0.9999246},"labels":[],"label_agreement":null},{"id":"W1835854435","doi":"10.1090/s0002-9947-03-03265-3","title":"Formality in an equivariant setting","year":2003,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Formality; Mathematics; Equivariant map; Pure mathematics; Algebra over a field; Linguistics","score_opus":0.029623873861911735,"score_gpt":0.3122026668445914,"score_spread":0.2825787929826797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1835854435","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84395593,0.000005661667,0.1544605,0.00019141706,0.000081604114,0.00023691762,0.000004316199,0.000038592945,0.0010250625],"genre_scores_gemma":[0.95779586,0.0000027468648,0.042019274,0.00008673377,0.000012481732,0.000019053494,1.7336365e-7,0.000017941229,0.000045718712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870604,0.00016451548,0.0004215817,0.0001663567,0.00027671893,0.0002647792],"domain_scores_gemma":[0.9988626,0.00029346734,0.00021896484,0.0005165938,0.00004171592,0.00006664701],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005534313,0.0001404891,0.00035455194,0.000015269721,0.00013338582,0.000015765556,0.00029882,0.000051633913,0.00015304955],"category_scores_gemma":[0.00012549512,0.00009581717,0.00033667998,0.00037721597,0.00029601422,0.0001169552,0.000012920484,0.00025259997,0.0000016301451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012829444,0.00039156788,0.00030237477,0.00012558921,0.00005697057,2.45939e-7,0.0029995209,0.00013874043,0.00054171827,0.9946094,0.000034007964,0.000787021],"study_design_scores_gemma":[0.00027181456,0.00005777711,0.0004963695,0.00003171462,0.000050242226,0.0000071741315,0.0019576184,0.0017321147,0.0014120798,0.99384314,0.000016025338,0.00012392784],"about_ca_topic_score_codex":0.000036483067,"about_ca_topic_score_gemma":0.000007793324,"teacher_disagreement_score":0.113839954,"about_ca_system_score_codex":0.000063382,"about_ca_system_score_gemma":0.00005350746,"threshold_uncertainty_score":0.3907311},"labels":[],"label_agreement":null},{"id":"W1840169898","doi":"10.3842/sigma.2017.052","title":"A Combinatorial Study on Quiver Varieties","year":2017,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; University of Toronto; Sumitomo Foundation","keywords":"Quiver; Mathematics; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.06398096123549134,"score_gpt":0.4217783468817465,"score_spread":0.35779738564625513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1840169898","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9478052,0.00013617078,0.043843094,0.00047136474,0.00071658957,0.0014056397,0.000022181704,0.00009381643,0.005505923],"genre_scores_gemma":[0.9864923,0.00002057036,0.012777259,0.000047018253,0.0002475151,0.00025846343,0.0000016747244,0.00001830991,0.00013690327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983284,0.00029229547,0.00034481712,0.000578191,0.00022494036,0.00023138746],"domain_scores_gemma":[0.9968317,0.0014459111,0.00021500618,0.0012262864,0.00012610739,0.00015496206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017183729,0.00025551495,0.0004543411,0.00011436062,0.0012246405,0.00027978662,0.0003813226,0.00017207464,0.000047036945],"category_scores_gemma":[0.001624665,0.00020009709,0.00008884346,0.00016700488,0.0004191012,0.00013215527,0.00027737062,0.0004085285,0.0000032792254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003828043,0.00041707035,0.007423377,0.000043233085,0.00006646898,3.514053e-7,0.00032216567,3.656572e-8,0.000022899061,0.9520966,0.000036687437,0.039532874],"study_design_scores_gemma":[0.0006920497,0.00030598155,0.022861479,0.000010436394,0.000087125794,0.0000029081843,0.00142172,0.000017775643,0.00022559355,0.97198796,0.0021713914,0.00021556419],"about_ca_topic_score_codex":0.00016180081,"about_ca_topic_score_gemma":0.0000061959286,"teacher_disagreement_score":0.03931731,"about_ca_system_score_codex":0.000029733725,"about_ca_system_score_gemma":0.000024891167,"threshold_uncertainty_score":0.94190687},"labels":[],"label_agreement":null},{"id":"W1846832439","doi":"10.5269/bspm.v36i2.23063","title":"Friezes and continuant polynomials with parameters","year":2017,"lang":"en","type":"preprint","venue":"Boletim da Sociedade Paranaense de Matemática","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke","keywords":"Frieze; Cluster algebra; Mathematics; Laurent polynomial; Conjecture; Combinatorics; Pure mathematics; Physics","score_opus":0.05408962392282742,"score_gpt":0.32016366617877584,"score_spread":0.26607404225594844,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1846832439","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98969495,0.0012476722,0.0016058162,0.0021096005,0.00081623194,0.00117732,0.00012195624,0.0002786277,0.0029478255],"genre_scores_gemma":[0.9838662,0.00033374366,0.014314206,0.0003022878,0.00027504493,0.00018373947,0.000024050973,0.00015256715,0.0005481682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99672204,0.00022189175,0.0006625584,0.0009700242,0.0005541553,0.00086930604],"domain_scores_gemma":[0.9964599,0.00055918,0.0008358484,0.0016476142,0.00013594273,0.00036150787],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00064814964,0.0008025992,0.0014267185,0.00009047727,0.00048537555,0.00093547074,0.0008217504,0.0008524072,0.00005556156],"category_scores_gemma":[0.00040501467,0.0006617492,0.00029262816,0.00004533595,0.0006993214,0.000086341475,0.0007729265,0.00096160785,0.000014354101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007860985,0.0002679936,0.0015150307,0.002548882,0.0023353507,0.00043920614,0.0070931725,0.00015164493,0.0004111235,0.9535804,0.029051771,0.0018193708],"study_design_scores_gemma":[0.0017260204,0.00015063028,0.0010095005,0.00076669495,0.0007807568,0.00009126403,0.0004514851,0.000508689,0.0009780326,0.99024445,0.0020541772,0.0012382765],"about_ca_topic_score_codex":0.00030980955,"about_ca_topic_score_gemma":0.000020876814,"teacher_disagreement_score":0.036664117,"about_ca_system_score_codex":0.00014011831,"about_ca_system_score_gemma":0.00034062922,"threshold_uncertainty_score":0.99958336},"labels":[],"label_agreement":null},{"id":"W1847220037","doi":"10.1016/j.aim.2017.04.031","title":"Supports of representations of the rational Cherednik algebra of type A","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Algebra over a field; Variety (cybernetics); Modulo; Pure mathematics; Type (biology); Vector space; Cellular algebra; Action (physics); Space (punctuation); Algebra representation; Discrete mathematics; Computer science","score_opus":0.038706764823428955,"score_gpt":0.36137089370672804,"score_spread":0.3226641288832991,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1847220037","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97570306,0.001903514,0.003069821,0.00013704343,0.002710868,0.0014434957,0.000113216,0.000024431742,0.014894541],"genre_scores_gemma":[0.97444606,0.00028960838,0.024853626,0.0000034353075,0.000058065223,0.000027134769,0.000008532831,0.000028002654,0.00028552322],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798906,0.000059979164,0.0010637194,0.0002197933,0.00053009565,0.00013736557],"domain_scores_gemma":[0.9953392,0.0005971973,0.0022553066,0.0014482243,0.00033660277,0.000023462111],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035368756,0.00020639907,0.0007234699,0.000077340126,0.000042973563,0.000010242057,0.0008621995,0.00020387399,0.000106291474],"category_scores_gemma":[0.0017387032,0.00015274769,0.00021135269,0.000121459954,0.00029579524,0.00010238117,0.00059318397,0.00029577577,4.6192574e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016660768,0.00023914476,0.0012448911,0.002854647,0.00007983392,9.11131e-7,0.0028830892,0.0011307077,0.000108148975,0.99100846,0.00011874255,0.00031473555],"study_design_scores_gemma":[0.00023745534,0.000021788983,0.0005053627,0.00086412416,0.00008276934,0.0000027925817,0.00029191503,0.00062551507,0.0032100256,0.9939964,0.00003998604,0.00012190527],"about_ca_topic_score_codex":0.000020934198,"about_ca_topic_score_gemma":0.000025398844,"teacher_disagreement_score":0.021783805,"about_ca_system_score_codex":0.000029651192,"about_ca_system_score_gemma":0.00025683548,"threshold_uncertainty_score":0.622887},"labels":[],"label_agreement":null},{"id":"W1848748958","doi":"10.1155/2016/9639875","title":"On Cluster<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>-Algebras","year":2016,"lang":"lv","type":"article","venue":"Journal of Function Spaces","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Sherbrooke","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.019296176720093303,"score_gpt":0.2445340593211862,"score_spread":0.2252378826010929,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1848748958","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6326,0.0016559624,0.002250192,0.0019456489,0.00912612,0.00006016729,0.00014842786,0.00021652291,0.35199693],"genre_scores_gemma":[0.9852368,0.0019378155,0.0015878986,0.0020030397,0.0063454467,0.0004712854,0.00019781473,0.0009397919,0.0012800542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9873438,0.0007081897,0.003029845,0.0018515503,0.004349678,0.002716941],"domain_scores_gemma":[0.9875969,0.003092637,0.004805176,0.002446399,0.0004956865,0.0015631678],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0027977605,0.0012823171,0.00064788136,0.0009169001,0.001841475,0.0021633764,0.0025016074,0.0032424422,0.42975166],"category_scores_gemma":[0.0033878582,0.0019657195,0.0028701313,0.0012362004,0.0015489477,0.0025222586,0.001732188,0.0025989413,0.0029843382],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0031475862,0.00037220996,0.000015421954,0.0009757976,0.0022387868,0.0008597604,0.0018384213,0.00076195993,0.0016752301,0.6813855,0.3042819,0.0024474333],"study_design_scores_gemma":[0.006317894,0.007527118,0.0002359808,0.0036562087,0.004211866,0.005185803,0.005264885,0.032452565,0.91356945,0.005327891,0.013321688,0.0029286284],"about_ca_topic_score_codex":0.0008424671,"about_ca_topic_score_gemma":0.0005929091,"teacher_disagreement_score":0.91189426,"about_ca_system_score_codex":0.000050994535,"about_ca_system_score_gemma":0.0020782773,"threshold_uncertainty_score":0.99999285},"labels":[],"label_agreement":null},{"id":"W1851533825","doi":"10.4171/115-1/3","title":"Flops and about: a guide","year":2013,"lang":"en","type":"preprint","venue":"EMS series of congress reports","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Symplectic geometry; Mathematics; Pure mathematics; Categorical variable; Algebra over a field; Representation theory; Nilpotent; Lie algebra; Moduli space; FLOPS; Knot (papermaking); Homology (biology); Computer science","score_opus":0.022292341397048627,"score_gpt":0.287415525237235,"score_spread":0.2651231838401864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1851533825","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.980845,0.002024021,0.00006763042,0.00017538357,0.00709535,0.00074621395,0.000012978837,0.000121223056,0.00891225],"genre_scores_gemma":[0.9878303,0.00032899008,0.0035178436,0.000028103444,0.00036208605,0.00012985422,0.000018755207,0.00007378,0.007710322],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975255,0.000045790304,0.0011500496,0.00054906384,0.00045356576,0.000276014],"domain_scores_gemma":[0.99677414,0.000118192824,0.0013475738,0.0012140614,0.00041791215,0.00012811822],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002522824,0.00040304443,0.00093172386,0.00007915028,0.0000730475,0.00012395601,0.00023867081,0.00046112787,0.00025777536],"category_scores_gemma":[0.0005652108,0.00035298645,0.00017195719,0.00004958438,0.00027080826,0.00015373601,0.001010911,0.0003871598,0.0000011852782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000080342965,0.000106459214,0.0027328073,0.0035055801,0.00086244574,0.000757274,0.0025217242,0.000038675567,0.00018892676,0.93621874,0.047632772,0.00535428],"study_design_scores_gemma":[0.0001393178,0.00004311038,0.0007409717,0.00042768754,0.00009557787,0.0003391769,0.00008676027,0.000013406515,0.0015847646,0.9820871,0.014079938,0.00036220977],"about_ca_topic_score_codex":0.00041065074,"about_ca_topic_score_gemma":0.000028160917,"teacher_disagreement_score":0.045868367,"about_ca_system_score_codex":0.000029677887,"about_ca_system_score_gemma":0.00018781121,"threshold_uncertainty_score":0.99989223},"labels":[],"label_agreement":null},{"id":"W1859367190","doi":"10.70930/tac/zpxpf33n","title":"Cyclic homology arising from adjunctions","year":2015,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Compagnia di San Paolo","keywords":"Adjunction; Monad (category theory); Coalgebra; Morphism; Distributive property; Mathematics; Pure mathematics; Cyclic homology; Functor; Hopf algebra; Associative property; Homology (biology); Algebra over a field; Cohomology","score_opus":0.028027243581420832,"score_gpt":0.2890732516244667,"score_spread":0.26104600804304584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1859367190","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8499224,0.00086838426,0.14188698,0.00014993214,0.00019190024,0.00024930047,0.000016060525,0.000086631575,0.0066283653],"genre_scores_gemma":[0.9982748,0.000016006903,0.0011900155,0.000025139227,0.00014829388,0.00006966946,0.00001026083,0.000009605778,0.0002561844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999477,0.0000628396,0.00017142754,0.0001277698,0.000075256234,0.00008565584],"domain_scores_gemma":[0.99906623,0.0004299665,0.00009121436,0.00027738998,0.00007751957,0.00005770208],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021703806,0.000080889375,0.00016198495,0.000036014433,0.000098198194,0.00001323404,0.00011326438,0.00006568348,0.000033329015],"category_scores_gemma":[0.00010663021,0.00006980682,0.000026872203,0.000104239305,0.00021833283,0.00006135204,0.000050442035,0.000071096125,0.00000459358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028171211,0.000026380616,0.000086677486,0.0000066536713,0.000024201818,9.859125e-8,0.00070757646,0.0000023582234,0.00011047842,0.9957436,0.0001519724,0.003111876],"study_design_scores_gemma":[0.00021088166,0.000022755521,0.00010395634,0.000002962588,0.000052645686,0.000003484659,0.0014567897,0.0000031900308,0.001715498,0.9937535,0.002602144,0.000072174415],"about_ca_topic_score_codex":0.000046727684,"about_ca_topic_score_gemma":0.0000046770183,"teacher_disagreement_score":0.14835238,"about_ca_system_score_codex":0.000008937132,"about_ca_system_score_gemma":0.000034619294,"threshold_uncertainty_score":0.28466395},"labels":[],"label_agreement":null},{"id":"W186245199","doi":"10.48550/arxiv.1312.0019","title":"Push-pull operators on the formal affine Demazure algebra and its dual","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Mathematics; Cohomology; Equivariant cohomology; Pure mathematics; Algebra over a field; Algebraic group; Group cohomology; Algebraic number; Langlands dual group; Affine transformation; Conjecture","score_opus":0.08121900640118697,"score_gpt":0.20159321939371888,"score_spread":0.12037421299253191,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W186245199","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99480295,0.00008713063,0.00036577156,0.00024212195,0.0008321392,0.00072550424,0.000022000862,0.000120237266,0.0028021184],"genre_scores_gemma":[0.99697876,0.00011724558,0.000045467452,0.00019900671,0.00029278727,0.0000047998014,0.000009273135,0.00005042519,0.0023022622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982892,0.00013207454,0.00024897946,0.00072300335,0.00015153356,0.0004551845],"domain_scores_gemma":[0.9982805,0.0003446429,0.00023791549,0.000794182,0.00016133989,0.0001814145],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020635447,0.00048093553,0.0004619797,0.00011461588,0.0003303497,0.00012841,0.0006575145,0.0005005677,0.00041664043],"category_scores_gemma":[0.00015287206,0.0003649171,0.00019186253,0.00019696084,0.00010286231,0.00022065044,0.001354522,0.0008984638,0.00006839648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004588,0.00004776185,0.00009864443,0.00008133195,0.00014966905,0.00004441219,0.0002471283,0.0010509496,0.000010547852,0.9965515,0.0016051279,0.00006704657],"study_design_scores_gemma":[0.0006411901,0.000107179156,0.00019056998,0.00011333728,0.00019149686,0.000009071217,0.0002504163,0.010791068,0.00026994976,0.98644847,0.00047845868,0.0005087798],"about_ca_topic_score_codex":0.00005774226,"about_ca_topic_score_gemma":0.000021338232,"teacher_disagreement_score":0.010103017,"about_ca_system_score_codex":0.000105489766,"about_ca_system_score_gemma":0.00010023401,"threshold_uncertainty_score":0.99988025},"labels":[],"label_agreement":null},{"id":"W1868251534","doi":"10.1090/s0002-9947-04-03522-6","title":"Hyperpolygon spaces and their cores","year":2004,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Quiver; Mathematics; Moduli space; Cohomology; Cohomology ring; Equivariant map; Equivariant cohomology; Variety (cybernetics); Type (biology); Combinatorics; Ring (chemistry); Polygon (computer graphics); Pure mathematics; Space (punctuation)","score_opus":0.018315753709702315,"score_gpt":0.26385454468551167,"score_spread":0.24553879097580936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1868251534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8765846,0.000042371772,0.1218009,0.0009819524,0.000068327136,0.0001764897,0.0000071087925,0.000051171537,0.0002870685],"genre_scores_gemma":[0.98037297,0.00003432493,0.019368421,0.00010071588,0.000024804109,0.000012155563,1.17317065e-7,0.00001907648,0.0000674048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924356,0.000028890558,0.00023007495,0.00014646955,0.00017752138,0.00017346423],"domain_scores_gemma":[0.9990802,0.00030937965,0.00016871035,0.00034687205,0.000033645978,0.00006123897],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011431209,0.00015232297,0.00034961212,0.000011312738,0.00017664097,0.00001960129,0.00022822495,0.00004283913,0.000040687893],"category_scores_gemma":[0.000042179177,0.00008631244,0.00032175216,0.00021339532,0.00075224997,0.000051343675,0.000023059389,0.00016852513,0.0000015857084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026526692,0.0002956415,0.00005549478,0.00020040208,0.00027234238,1.5757955e-7,0.007664862,0.0001487159,0.0020194056,0.9864499,0.00009536902,0.00277117],"study_design_scores_gemma":[0.0002756598,0.000073329684,0.00020597599,0.00004482234,0.000067997426,0.000013355907,0.002494814,0.00021347277,0.004622781,0.99185425,0.000026092357,0.000107444546],"about_ca_topic_score_codex":0.000070714916,"about_ca_topic_score_gemma":0.000004324934,"teacher_disagreement_score":0.10378837,"about_ca_system_score_codex":0.000033304652,"about_ca_system_score_gemma":0.00003320435,"threshold_uncertainty_score":0.3519719},"labels":[],"label_agreement":null},{"id":"W1876942899","doi":"10.1090/pspum/073/2131015","title":"Invariants of tangles with flat connections in their complements","year":2005,"lang":"en","type":"other","venue":"Proceedings of symposia in pure mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Geometry; Combinatorics; Pure mathematics","score_opus":0.02249988234227899,"score_gpt":0.26404309774546925,"score_spread":0.24154321540319026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1876942899","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31720373,0.00086002005,0.00031766912,0.00022479429,0.00041717637,0.0038490912,0.00015913512,0.00023845556,0.6767299],"genre_scores_gemma":[0.9266443,0.00024651285,0.054325983,0.000027006326,0.00034033606,0.0002493924,0.000016053833,0.0010076137,0.01714279],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790794,0.000007922361,0.00096712785,0.00032946063,0.00045924488,0.00032832002],"domain_scores_gemma":[0.99818134,0.0001706544,0.0012034469,0.00023686119,0.00015139351,0.0000563155],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00027090643,0.0004541417,0.0011868007,0.0005955314,0.00002168634,0.000025511543,0.0005107972,0.00037695136,0.0003732755],"category_scores_gemma":[0.000121226425,0.00035543594,0.00009815306,0.00048599145,0.00012738882,0.00009003813,0.00013239402,0.00030976298,0.0000020534637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025505802,0.0003919605,0.0008244057,0.0029907776,0.00016846128,0.0000015207843,0.003142072,0.0000021781093,0.00039252886,0.9870123,0.004966446,0.00008180074],"study_design_scores_gemma":[0.0024620295,0.00027367604,0.000073843294,0.008568035,0.00017656517,0.000033546723,0.003308894,0.00027647594,0.0030322953,0.97771096,0.0033797917,0.00070386496],"about_ca_topic_score_codex":0.00005074994,"about_ca_topic_score_gemma":0.00016545213,"teacher_disagreement_score":0.65958714,"about_ca_system_score_codex":0.000085011,"about_ca_system_score_gemma":0.00006059871,"threshold_uncertainty_score":0.9998898},"labels":[],"label_agreement":null},{"id":"W187723980","doi":"10.1007/978-1-4613-0119-6_5","title":"The Fibonacci-Deformed Harmonic Oscillator","year":2001,"lang":"en","type":"book-chapter","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Fibonacci number; Mathematics; Holomorphic function; Quasiperiodic function; Countable set; Sequence (biology); Hilbert space; Harmonic oscillator; Pure mathematics; Creation and annihilation operators; Basis (linear algebra); Algebra over a field; Discrete mathematics; Quantum; Quantum mechanics; Physics; Mathematical analysis","score_opus":0.04011861387627958,"score_gpt":0.27234176757595496,"score_spread":0.2322231536996754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W187723980","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00030901772,0.000759414,0.000107455715,0.00043314803,0.0018210631,0.00046395967,0.0000063108273,0.00019032972,0.9959093],"genre_scores_gemma":[0.01024293,0.00073716376,0.00019263297,0.00017374424,0.0008513161,0.000018274915,0.000005836698,0.00013132357,0.98764676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982049,0.000011450236,0.00049154705,0.0003605253,0.0005362284,0.00039537277],"domain_scores_gemma":[0.99808556,0.00050381804,0.00027903868,0.00089478784,0.000114861046,0.00012196158],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00017434382,0.00045916895,0.0004671615,0.000048049667,0.00034763463,0.00010942716,0.0005639953,0.0004837103,0.0024625652],"category_scores_gemma":[0.00008308503,0.00026085688,0.00035207366,0.000025633473,0.00010715797,0.000045007084,0.00019483548,0.00048196578,0.00022944287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001537698,0.0000033618135,6.9227104e-7,0.000016607082,0.00010810993,0.0000057157063,0.000024313475,9.1638455e-8,5.382539e-7,0.95725155,0.039512396,0.003061272],"study_design_scores_gemma":[0.00015260218,0.000025005687,0.0000010862618,0.00002745352,0.000046780206,0.0000135089695,0.000007392605,0.0000057727957,0.000008103725,0.5766008,0.42290264,0.00020888852],"about_ca_topic_score_codex":0.000012511761,"about_ca_topic_score_gemma":0.000042905256,"teacher_disagreement_score":0.38339025,"about_ca_system_score_codex":0.00014773756,"about_ca_system_score_gemma":0.00013937676,"threshold_uncertainty_score":0.9999844},"labels":[],"label_agreement":null},{"id":"W1877472578","doi":"10.1090/s0002-9939-04-07512-4","title":"The strong no loop conjecture for special biserial algebras","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Loop (graph theory); Conjecture; Mathematics; Pure mathematics; Algebra over a field; Programming language; Computer science; Combinatorics","score_opus":0.017512361938226167,"score_gpt":0.27724075036971635,"score_spread":0.25972838843149015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1877472578","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9899311,0.000022499082,0.0014816661,0.0027363263,0.0007664886,0.0012515752,0.000014477057,0.00009140356,0.003704483],"genre_scores_gemma":[0.9604431,0.000024758603,0.034416158,0.00035412866,0.003804221,0.00017189335,8.3448776e-7,0.00010082652,0.0006840972],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981677,0.000008592084,0.0005144039,0.0002872047,0.00054009084,0.0004820149],"domain_scores_gemma":[0.998065,0.00058785564,0.0006878596,0.00025410895,0.00030818535,0.00009699769],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045047834,0.0002812489,0.0005516285,0.000010239928,0.00049036834,0.00011357789,0.00089833606,0.00009776848,0.000033457443],"category_scores_gemma":[0.0011568284,0.00014911566,0.00072623254,0.00028275774,0.0009478249,0.00009147824,0.0002557512,0.00027451932,0.0000064489614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008790117,0.00007883402,0.00002093674,0.0001646226,0.00014025602,3.3402998e-8,0.00083320966,0.0000022864833,0.0007843672,0.98914564,0.008473365,0.00026857082],"study_design_scores_gemma":[0.00082224276,0.00019019646,0.000038245456,0.000065872926,0.00012106042,0.000005233283,0.0010310063,0.00009986182,0.0037480334,0.9928279,0.0008585148,0.00019184448],"about_ca_topic_score_codex":0.000008543319,"about_ca_topic_score_gemma":8.005011e-7,"teacher_disagreement_score":0.032934494,"about_ca_system_score_codex":0.00011912163,"about_ca_system_score_gemma":0.000088195564,"threshold_uncertainty_score":0.608076},"labels":[],"label_agreement":null},{"id":"W1878826567","doi":"10.1090/ert/478","title":"Twisted Demazure modules, fusion product decomposition and twisted 𝑄-systems","year":2016,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre de Recherches Mathématiques","keywords":"Indecomposable module; Mathematics; Affine transformation; Pure mathematics; Tuple; Fusion; Product (mathematics); Algebra over a field; Discrete mathematics; Geometry","score_opus":0.023478797610045624,"score_gpt":0.3018413549214864,"score_spread":0.2783625573114408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1878826567","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9496703,0.00054465095,0.045430206,0.0017312147,0.00056476647,0.0014429861,0.000051747054,0.000098624754,0.00046550436],"genre_scores_gemma":[0.9941636,0.00022802029,0.0036724207,0.00010973175,0.00027513367,0.000054972403,0.000004609807,0.00007474269,0.001416778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955839,0.0012078942,0.0011298938,0.0006948342,0.0009239118,0.00045960213],"domain_scores_gemma":[0.9939958,0.0024726505,0.0017102689,0.0013202288,0.00031487294,0.00018619928],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012342117,0.00046281618,0.001051633,0.000045821776,0.00033910706,0.000092204624,0.0005677533,0.00015981354,0.00013903812],"category_scores_gemma":[0.0011133273,0.00026255532,0.00061829254,0.0005607639,0.0017761543,0.00019620071,0.0004662382,0.00026177056,0.000019495654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029152865,0.00036574827,0.0006371552,0.0009425645,0.0006240193,0.0000011241493,0.0038652837,0.000031915915,0.025644746,0.95703334,0.0013688705,0.0091937315],"study_design_scores_gemma":[0.0010730993,0.00014681599,0.004284271,0.0008358347,0.00049381447,0.0000511257,0.003033994,0.00207499,0.0059450786,0.9816143,0.000059935493,0.0003867364],"about_ca_topic_score_codex":0.00006164438,"about_ca_topic_score_gemma":8.3780253e-7,"teacher_disagreement_score":0.04449329,"about_ca_system_score_codex":0.00017428849,"about_ca_system_score_gemma":0.00007394097,"threshold_uncertainty_score":0.99998266},"labels":[],"label_agreement":null},{"id":"W1880661644","doi":"10.1016/j.jalgebra.2015.04.038","title":"Quantum walled Brauer–Clifford superalgebras","year":2016,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Research Foundation of Korea","keywords":"Superalgebra; Realization (probability); Clifford algebra; Lie superalgebra; Mathematics; Quantum; Type (biology); Combinatorics; Physics; Pure mathematics; Algebra over a field; Quantum mechanics; Current algebra","score_opus":0.041625057351964145,"score_gpt":0.31054390030347023,"score_spread":0.2689188429515061,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1880661644","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98101664,0.0012437649,0.0031082218,0.0021640777,0.01045171,0.00042331446,0.000026082356,0.00009079992,0.0014753918],"genre_scores_gemma":[0.99248374,0.00037955132,0.0021866844,0.0002658905,0.0038780312,0.000011833532,0.00000432896,0.00015654761,0.0006334064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995262,0.00025077074,0.0020698889,0.00048453384,0.0012875139,0.00064528483],"domain_scores_gemma":[0.9947723,0.0007366975,0.0022646722,0.0010311519,0.00078714074,0.00040803174],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010048042,0.0007321849,0.0017541198,0.0004120529,0.00014234144,0.00020441247,0.0015852454,0.0008793369,0.0008867633],"category_scores_gemma":[0.00093221414,0.0004909161,0.0012597244,0.00014777925,0.00013695679,0.0002879872,0.00089369365,0.001771034,0.00003652785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025304753,0.00016072935,0.00028967048,0.00028560072,0.0007756622,0.00013121909,0.0005610624,0.0000028547345,0.00023588272,0.9708739,0.025320305,0.0011100871],"study_design_scores_gemma":[0.0017622877,0.00028887403,0.00029942553,0.0008872265,0.00032701337,0.00022413008,0.0000742481,0.000023050066,0.0007696395,0.99242455,0.0023259874,0.00059355283],"about_ca_topic_score_codex":0.000011026713,"about_ca_topic_score_gemma":0.0000035148087,"teacher_disagreement_score":0.022994317,"about_ca_system_score_codex":0.00028808997,"about_ca_system_score_gemma":0.0007201953,"threshold_uncertainty_score":0.99975425},"labels":[],"label_agreement":null},{"id":"W1888838770","doi":"10.1090/s0002-9947-03-03253-7","title":"Four-weight spin models and Jones pairs","year":2003,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Generalization; Spin (aerodynamics); Combinatorics; Statistical physics; Mathematical analysis; Physics; Thermodynamics","score_opus":0.033582202454904085,"score_gpt":0.2771845643430024,"score_spread":0.24360236188809833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1888838770","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5058834,0.000065719505,0.49070293,0.0005624089,0.000118713724,0.0003223788,0.000006433635,0.000071997594,0.0022660226],"genre_scores_gemma":[0.95479864,0.0000581782,0.044708338,0.00009666091,0.000018600344,0.000022565104,9.151496e-8,0.000027155293,0.00026980022],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988238,0.00009580219,0.0003421291,0.00019564822,0.00030853538,0.00023407523],"domain_scores_gemma":[0.9987777,0.00041957095,0.00020667068,0.00045593374,0.00005333487,0.00008677786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002468173,0.00018350017,0.00042651815,0.000014687795,0.00020757352,0.000018011286,0.00022563028,0.000060372902,0.00012625112],"category_scores_gemma":[0.00007200152,0.00011962507,0.00040880364,0.0002778407,0.0005899508,0.00008720315,0.000016292748,0.00020751334,0.0000018932426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008661864,0.00014144003,0.000025055464,0.00013466105,0.00015792409,1.7259816e-7,0.001269645,0.00011538552,0.00017458269,0.9968961,0.00030241982,0.0007739812],"study_design_scores_gemma":[0.00025553684,0.000049892486,0.00004840776,0.00003474261,0.00013850516,0.000018327666,0.0008155793,0.0039892225,0.0011094994,0.993327,0.00006807174,0.00014518312],"about_ca_topic_score_codex":0.000018746901,"about_ca_topic_score_gemma":0.0000013003418,"teacher_disagreement_score":0.4489152,"about_ca_system_score_codex":0.000031663138,"about_ca_system_score_gemma":0.000036929265,"threshold_uncertainty_score":0.48781687},"labels":[],"label_agreement":null},{"id":"W1902298478","doi":"10.1112/s0024611503014606","title":"Representations of Ariki–Koike Algebras and Gröbner–Shirshov Bases","year":2004,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Monomial; Mathematics; Basis (linear algebra); Monomial basis; Young tableau; Set (abstract data type); Algebra over a field; Presentation (obstetrics); Pure mathematics; Combinatorics; Computer science; Geometry; Medicine; Programming language","score_opus":0.022550603716182845,"score_gpt":0.27800616872114664,"score_spread":0.2554555650049638,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1902298478","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9953692,0.00008514997,0.000780137,0.0010424263,0.000087158645,0.00042430367,0.0000061034566,0.000049936323,0.0021555969],"genre_scores_gemma":[0.9719263,0.000027856931,0.027672192,0.0000882009,0.00006230692,0.000024367375,3.8166536e-7,0.000027535989,0.00017089205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984744,0.0000058983883,0.00054817117,0.00024711163,0.00049250387,0.0002319252],"domain_scores_gemma":[0.99873495,0.00034049372,0.00039578014,0.0002180807,0.00022756889,0.000083132916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035013587,0.00019492827,0.00044610127,0.000021246175,0.00014143123,0.00003455985,0.0003847783,0.0001397722,0.000050071325],"category_scores_gemma":[0.0008686026,0.00012878014,0.00034957018,0.0002689345,0.0003831808,0.00015259796,0.000294665,0.00020438842,0.0000013223301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011491156,0.00014529112,0.00048843934,0.0007284014,0.00008391716,6.9917704e-8,0.002204899,0.0000026858208,0.003567055,0.9919972,0.0007107478,0.00005980785],"study_design_scores_gemma":[0.0006304294,0.000045795354,0.0004576329,0.00020710636,0.000131681,0.000012252644,0.00095341174,0.00009923751,0.037867457,0.9594474,0.000020041707,0.00012754419],"about_ca_topic_score_codex":0.000017803528,"about_ca_topic_score_gemma":6.566892e-7,"teacher_disagreement_score":0.0343004,"about_ca_system_score_codex":0.000038377653,"about_ca_system_score_gemma":0.000037568447,"threshold_uncertainty_score":0.5251502},"labels":[],"label_agreement":null},{"id":"W1905553431","doi":"10.1007/jhep05(2015)048","title":"The superconformal index of the (2,0) theory with defects","year":2015,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique","keywords":"Codimension; Partition function (quantum field theory); Affine transformation; M-theory; Type (biology); Limit (mathematics); Partition (number theory)","score_opus":0.01529854659036265,"score_gpt":0.22887676086409706,"score_spread":0.2135782142737344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1905553431","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9798327,0.00014974058,0.017613549,0.00010498284,0.00097152725,0.000040644267,9.021546e-7,0.000005825249,0.0012801181],"genre_scores_gemma":[0.99918985,0.000011930786,0.00014607176,0.0000630853,0.00043669282,0.0000011438414,1.1188139e-7,0.0000159561,0.00013512504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988991,0.00010166768,0.00028825647,0.000049591108,0.0005186978,0.00014266373],"domain_scores_gemma":[0.99853635,0.00032056167,0.000444601,0.0002819572,0.0003524168,0.00006410748],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033989098,0.00011136139,0.00022081031,0.000013839478,0.000096520394,0.000025502733,0.0004223133,0.000049028073,0.0000025944232],"category_scores_gemma":[0.00009039978,0.000045421133,0.00012941536,0.00012719705,0.00012825176,0.00014340197,0.00007012654,0.00019313462,1.8527201e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016842387,0.000031507123,0.00017011292,0.000005099691,0.000096779615,0.0000016278119,0.0003138287,0.00042471426,0.000011936835,0.99733365,0.00042032925,0.0010219921],"study_design_scores_gemma":[0.0007221753,0.00019446977,0.0002319912,0.000031558207,0.0000639127,0.000032976943,0.00029732607,0.000025049829,0.0039893584,0.9937973,0.0005491528,0.000064716594],"about_ca_topic_score_codex":0.000020369962,"about_ca_topic_score_gemma":0.000009407828,"teacher_disagreement_score":0.019357173,"about_ca_system_score_codex":0.000032965152,"about_ca_system_score_gemma":0.00022799653,"threshold_uncertainty_score":0.185222},"labels":[],"label_agreement":null},{"id":"W1908576406","doi":"10.1090/s0894-0347-00-00354-4","title":"Double affine Hecke algebras and 2-dimensional local fields","year":2000,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Algorithm; Annotation; Type (biology); Mathematics; Computer science; Artificial intelligence; Algebra over a field; Pure mathematics","score_opus":0.016460564646783724,"score_gpt":0.27605164080609573,"score_spread":0.259591076159312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1908576406","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9930172,0.00008085238,0.003141986,0.0025230641,0.00013822496,0.00010923397,0.0000010247359,0.00001643773,0.00097200496],"genre_scores_gemma":[0.98497015,0.00003466754,0.012510714,0.0009896737,0.0002732814,0.0000022070215,1.04984515e-7,0.000022083033,0.0011971225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985339,0.00005833329,0.00051078637,0.0001278276,0.0005310003,0.00023815197],"domain_scores_gemma":[0.998684,0.00041916757,0.00040155277,0.00026826453,0.00008349513,0.00014355443],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003898391,0.00017424989,0.00051235134,0.000012705113,0.00014957471,0.000038563394,0.0003374425,0.000072207746,0.0009677494],"category_scores_gemma":[0.00007526404,0.0000978378,0.00045237187,0.00018658744,0.00048580894,0.00008341075,0.000104228435,0.00041770114,0.00001127099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00071709044,0.0008232798,0.00032769717,0.00025166938,0.0009944465,0.000021945203,0.0035973513,0.00038466326,0.00029889363,0.89547074,0.068346485,0.028765768],"study_design_scores_gemma":[0.0008628608,0.00016862183,0.0003009403,0.000070787624,0.000114836155,0.00027141557,0.00028706517,0.0010214603,0.00025691348,0.99574304,0.00076130463,0.00014073397],"about_ca_topic_score_codex":0.000011238943,"about_ca_topic_score_gemma":6.88109e-7,"teacher_disagreement_score":0.10027235,"about_ca_system_score_codex":0.00005369398,"about_ca_system_score_gemma":0.00005804607,"threshold_uncertainty_score":0.9999455},"labels":[],"label_agreement":null},{"id":"W1913731090","doi":"10.1090/conm/652/12949","title":"Lie Properties of Restricted Enveloping Algebras","year":2015,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland","keywords":"Mathematics; Pure mathematics; Lie algebra; Algebra over a field","score_opus":0.08399888893437087,"score_gpt":0.297154842727577,"score_spread":0.21315595379320612,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1913731090","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010285619,0.005453127,0.015511073,0.00045358302,0.0009766953,0.0048611537,0.0002806572,0.002558585,0.9596195],"genre_scores_gemma":[0.15831964,0.00057399296,0.35746723,0.00053170713,0.0021332614,0.0006754162,0.00018647147,0.0056908126,0.47442144],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9947134,0.0001952649,0.0019504768,0.0008089242,0.0015895488,0.0007423788],"domain_scores_gemma":[0.99418503,0.0006095396,0.0027046003,0.0017217915,0.0003388716,0.00044014063],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00069267786,0.0011461502,0.003182204,0.00021262007,0.000109948094,0.00008448169,0.0011903304,0.00068771414,0.0007046777],"category_scores_gemma":[0.0014204509,0.0009014233,0.00084428757,0.00090051425,0.0014458233,0.00011965003,0.00054697506,0.0007540709,0.00011891361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019019739,0.0005538259,0.0000043169002,0.0048869746,0.0008887936,0.0000073934334,0.0033969863,2.2289524e-7,0.00011283444,0.33544037,0.65460414,0.00008514229],"study_design_scores_gemma":[0.0009831655,0.00022653742,9.912385e-7,0.00373561,0.00035026055,0.00002084881,0.003556829,0.0003917068,0.00036545144,0.95502514,0.034079608,0.0012638674],"about_ca_topic_score_codex":0.00009745435,"about_ca_topic_score_gemma":0.000004029899,"teacher_disagreement_score":0.6205245,"about_ca_system_score_codex":0.00018295628,"about_ca_system_score_gemma":0.00087494677,"threshold_uncertainty_score":0.99934363},"labels":[],"label_agreement":null},{"id":"W1916508006","doi":"10.1016/j.nuclphysb.2015.08.017","title":"Boundary algebras and Kac modules for logarithmic minimal models","year":2015,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Fusion rules; Pure mathematics; Mathematics; Bilinear form; Logarithm; Minimal models; Lattice (music); Algebraic number; Quotient; Algebra over a field; Fusion; Mathematical analysis; Physics","score_opus":0.07800154096783544,"score_gpt":0.29031423707857,"score_spread":0.21231269611073456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1916508006","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9857856,0.00014794279,0.00975204,0.00019061058,0.00049745286,0.00040415477,0.000023050578,0.00014506125,0.0030541096],"genre_scores_gemma":[0.98365265,0.000005113756,0.01544451,0.00014857904,0.00050878467,0.000015287533,0.000004979573,0.00007091411,0.00014919645],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990931,0.00002244521,0.00017012403,0.00025997788,0.00021122136,0.00024309196],"domain_scores_gemma":[0.9993196,0.000088300476,0.00007911522,0.00026889343,0.00010955436,0.00013452525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011952431,0.00017369847,0.00025503055,0.000020485135,0.00012800851,0.000087576474,0.00016485246,0.000101317666,0.000007996294],"category_scores_gemma":[0.000049062477,0.00016238826,0.00008166134,0.000055039993,0.000097611075,0.00022513207,0.0001105814,0.00011541863,0.000008840729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063324085,0.000049981536,0.000004522191,0.000037624573,0.00003740963,8.578602e-7,0.0009947618,0.000037853275,0.00008173874,0.9896406,0.0059367353,0.0031145837],"study_design_scores_gemma":[0.0008880124,0.00013479599,0.000016209928,0.000012759964,0.000039892922,0.000004364143,0.00018513801,0.025559573,0.000090367976,0.97019935,0.0026765699,0.00019299884],"about_ca_topic_score_codex":0.00001472967,"about_ca_topic_score_gemma":0.0000011385644,"teacher_disagreement_score":0.02552172,"about_ca_system_score_codex":0.00003887643,"about_ca_system_score_gemma":0.0000467161,"threshold_uncertainty_score":0.6622001},"labels":[],"label_agreement":null},{"id":"W1917704040","doi":"10.1007/s11005-015-0795-5","title":"The Equitable Presentation of $${\\mathfrak{osp}_q(1|2)}$$ osp q ( 1 | 2 ) and a q-Analog of the Bannai–Ito Algebra","year":2015,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Algebra over a field; Superalgebra; Presentation (obstetrics); Quantum algebra; Quantum; Transformation (genetics); Subalgebra; Covariance","score_opus":0.0429658583590462,"score_gpt":0.2961548640728246,"score_spread":0.2531890057137784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1917704040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98455393,0.00010131802,0.010684571,0.0020204664,0.00035494738,0.00057210843,0.0000051133698,0.000021615835,0.0016859293],"genre_scores_gemma":[0.9968519,0.0000046242785,0.0026693179,0.00021541526,0.00013356455,0.000029513687,9.0614066e-7,0.000027031638,0.000067691886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99818087,0.0001450422,0.00057931786,0.00018879083,0.00059957686,0.00030639497],"domain_scores_gemma":[0.9979319,0.0010008933,0.00032008262,0.0005900609,0.00009426296,0.00006279737],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006030657,0.00018521251,0.00041509082,0.00002249406,0.00008705262,0.00003823237,0.0004475962,0.000079819496,0.000007499827],"category_scores_gemma":[0.00060149166,0.00010744786,0.00012090474,0.00026834043,0.00034811517,0.00012327099,0.00028238998,0.0002285621,0.000002477907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024889569,0.00010185847,0.00025515223,0.00022722204,0.000051133055,8.1688154e-7,0.0022056403,0.00007339031,0.001085895,0.99295104,0.0026390757,0.0003838937],"study_design_scores_gemma":[0.0005196575,0.000037229012,0.00020438398,0.00010799569,0.00005952521,0.0000028295067,0.00038440147,0.0018718473,0.0031416216,0.99352443,0.000032205444,0.000113862865],"about_ca_topic_score_codex":0.00002143017,"about_ca_topic_score_gemma":0.0000034845373,"teacher_disagreement_score":0.012298005,"about_ca_system_score_codex":0.000039498897,"about_ca_system_score_gemma":0.00004103977,"threshold_uncertainty_score":0.43815964},"labels":[],"label_agreement":null},{"id":"W1917799960","doi":"10.48550/arxiv.math/0512248","title":"The algebraic meaning of genus-zero","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Zero (linguistics); Meaning (existential); Genus; Algebraic number; Mathematics; Pure mathematics; Algebra over a field; Epistemology; Philosophy; Mathematical analysis; Linguistics; Biology; Zoology","score_opus":0.06443126636882249,"score_gpt":0.30431106237354993,"score_spread":0.23987979600472745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1917799960","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9904959,0.0011152423,0.0007172244,0.00034320707,0.0023474698,0.00041113398,0.000007417652,0.00011106541,0.004451343],"genre_scores_gemma":[0.9971132,0.00019704002,0.00070921326,0.00008323961,0.0008234691,0.000044769175,0.000006417727,0.000078036246,0.0009445674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978578,0.00010826233,0.0007103971,0.00045378794,0.00046099376,0.00040874103],"domain_scores_gemma":[0.99722517,0.0005728424,0.0006267634,0.0013129931,0.00017300027,0.00008924622],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042636742,0.00038744844,0.00057792256,0.000057436308,0.00022553839,0.000052822696,0.0010016185,0.0004082252,0.00009766115],"category_scores_gemma":[0.00046608457,0.00027732685,0.00034601663,0.00010709275,0.00011512634,0.000048946506,0.0010061552,0.00081776566,0.000032671007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036258898,0.00006287285,0.010842758,0.00022098409,0.0003734312,0.000005398807,0.0014307386,0.00009554662,0.00010653047,0.9815597,0.0027035475,0.0025622598],"study_design_scores_gemma":[0.00029005104,0.00003071502,0.0030830896,0.00015084601,0.00013590536,0.0000043653454,0.000073734715,0.00010526879,0.0010027685,0.99188846,0.0029244157,0.0003103802],"about_ca_topic_score_codex":0.000051394312,"about_ca_topic_score_gemma":0.000025315487,"teacher_disagreement_score":0.010328786,"about_ca_system_score_codex":0.0000880537,"about_ca_system_score_gemma":0.0001574603,"threshold_uncertainty_score":0.9999679},"labels":[],"label_agreement":null},{"id":"W1926352835","doi":"10.37236/1101","title":"Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables","year":2006,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bialgebra; Mathematics; Noncommutative geometry; Symmetric function; Pure mathematics; Partition (number theory); Hopf algebra; Basis (linear algebra); Symmetrization; Lattice (music); Combinatorics; Algebra over a field","score_opus":0.012935569705696369,"score_gpt":0.2537020866813878,"score_spread":0.2407665169756914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1926352835","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9848978,0.00406262,0.0074336086,0.0006147735,0.00073094375,0.00025864854,0.0000017012972,0.000023090992,0.0019768444],"genre_scores_gemma":[0.999274,0.00023954154,0.000044564065,0.000022322189,0.0002226463,0.000008163239,0.0000012031624,0.000024077197,0.000163482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982446,0.00024001037,0.0005820679,0.000122033074,0.00036825513,0.00044305567],"domain_scores_gemma":[0.9981416,0.0009333677,0.0005109543,0.0001975905,0.00016857605,0.00004791763],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010059307,0.00017789303,0.0003528161,0.00025208027,0.00017285976,0.000058141955,0.0002809818,0.00009780079,0.000017240875],"category_scores_gemma":[0.00022157424,0.00012404445,0.00008829965,0.00081487815,0.000077533725,0.00020791743,0.000051456384,0.0006947485,0.0000016347797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051041003,0.00015787862,0.0008004962,0.000016804099,0.000054668533,0.000005548043,0.00016776187,0.00004888979,0.00002069933,0.99809974,0.00041991723,0.0001565544],"study_design_scores_gemma":[0.0013333068,0.00036908794,0.0010491789,0.00003814231,0.00011142269,0.00012352156,0.00019918483,0.0001590243,0.00014021451,0.99583924,0.0005051168,0.00013258027],"about_ca_topic_score_codex":0.00008870564,"about_ca_topic_score_gemma":0.00005497079,"teacher_disagreement_score":0.0143762315,"about_ca_system_score_codex":0.00031909609,"about_ca_system_score_gemma":0.00021850309,"threshold_uncertainty_score":0.50583863},"labels":[],"label_agreement":null},{"id":"W1930605776","doi":"10.1016/j.aim.2016.08.016","title":"Derived equivalences for hereditary Artin algebras","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Fonds Wetenschappelijk Onderzoek; University of Regina; National Science Foundation","keywords":"Mathematics; Pure mathematics; Artin L-function; Algebra over a field; Conductor; Geometry","score_opus":0.033479020241335734,"score_gpt":0.32656465390934397,"score_spread":0.2930856336680082,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1930605776","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8186872,0.0020092395,0.17169991,0.00067521614,0.0018689429,0.0012163945,0.000027030095,0.00023590866,0.0035801576],"genre_scores_gemma":[0.8837716,0.00030904374,0.114804946,0.000059299018,0.00032288855,0.00020632647,0.0000013913518,0.000054398064,0.0004700977],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843735,0.00003140905,0.00055628084,0.0002915919,0.00027662577,0.00040672589],"domain_scores_gemma":[0.9972729,0.001949151,0.00023457503,0.00040251258,0.00007302557,0.00006780047],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034022512,0.00022958204,0.00039637892,0.00007078484,0.00007262147,0.000019062383,0.00037124444,0.00010484238,0.00015445206],"category_scores_gemma":[0.0010857221,0.00014630503,0.00011357118,0.00013080891,0.000117431606,0.00038698164,0.00007859128,0.0000753684,0.0000148641675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025833337,0.00010323927,0.0001444666,0.00032003823,0.000018255758,0.0000046800305,0.0005441692,0.0000063854527,0.00046032385,0.98614895,0.0002695099,0.011954127],"study_design_scores_gemma":[0.0008428617,0.00008014898,0.00003489647,0.00031213075,0.000021172016,0.000008665609,0.00036145543,0.00016280686,0.003128641,0.9936972,0.0011068546,0.000243159],"about_ca_topic_score_codex":0.0000010355974,"about_ca_topic_score_gemma":0.000015838012,"teacher_disagreement_score":0.065084405,"about_ca_system_score_codex":0.000057461348,"about_ca_system_score_gemma":0.000033940913,"threshold_uncertainty_score":0.5966146},"labels":[],"label_agreement":null},{"id":"W1934282986","doi":"10.1090/s0002-9947-03-03392-0","title":"Cohomology operations for Lie algebras","year":2003,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cohomology; Subalgebra; Conjecture; Lie algebra; Rank (graph theory); Pure mathematics; Algebra over a field; Cohomology ring; Combinatorics; Equivariant cohomology","score_opus":0.026763334435787732,"score_gpt":0.300837855375247,"score_spread":0.2740745209394593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1934282986","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35233068,0.000014417011,0.64589196,0.00054323935,0.00017146743,0.00048649646,0.000014813097,0.000046163714,0.00050077186],"genre_scores_gemma":[0.8674603,0.000007931157,0.13172153,0.0001839826,0.000025227715,0.00011216186,5.032909e-7,0.000026546733,0.00046182578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893147,0.00008549255,0.00036779532,0.00017783711,0.00019915005,0.00023825518],"domain_scores_gemma":[0.9984937,0.00073263363,0.00013960213,0.00047069057,0.00010086922,0.00006250396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002565575,0.00015241011,0.00040041876,0.000013642904,0.0002924007,0.000014706638,0.00028525735,0.000064288164,0.00023995154],"category_scores_gemma":[0.0002546768,0.000103622086,0.00060785067,0.00026559687,0.00052050536,0.000047108733,0.000009407896,0.00015916995,0.0000037823559],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007993587,0.00018131424,0.0000107189935,0.00006963949,0.00015039991,3.2935883e-8,0.0007055435,0.00013234341,0.0003680624,0.99777716,0.00037918772,0.00021760707],"study_design_scores_gemma":[0.00034172836,0.00009727258,0.000027748112,0.000014278816,0.00017510119,0.000010908645,0.00079383195,0.0007692478,0.003345381,0.9940603,0.00023933918,0.00012486178],"about_ca_topic_score_codex":0.000015066973,"about_ca_topic_score_gemma":0.000003973156,"teacher_disagreement_score":0.5151296,"about_ca_system_score_codex":0.000043242522,"about_ca_system_score_gemma":0.000077978315,"threshold_uncertainty_score":0.4225586},"labels":[],"label_agreement":null},{"id":"W1937528024","doi":"10.1112/s0010437x17007564","title":"Quantum K-theoretic geometric Satake: the case","year":2017,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Mathematics; Equivariant map; Morphism; Conjecture; Subcategory; Pure mathematics; Langlands dual group; Combinatorics; Derived category; Equivalence of categories; Discrete mathematics; Algebra over a field; Functor","score_opus":0.04792813892077385,"score_gpt":0.318238909923723,"score_spread":0.27031077100294915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1937528024","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95470536,0.00018674617,0.015019476,0.0019997389,0.0010657663,0.00078600587,0.000014073397,0.00020243092,0.026020376],"genre_scores_gemma":[0.99669284,0.000009535914,0.0025567818,0.00010032709,0.00025115488,0.00005436421,0.000001639844,0.00004895365,0.00028441998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847025,0.00009237966,0.0004276823,0.00029567955,0.00032820503,0.0003858215],"domain_scores_gemma":[0.99605626,0.0011087921,0.0004113713,0.002190968,0.000108948036,0.00012368738],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0005462515,0.00027334556,0.0004039221,0.00008593436,0.0016994651,0.0005067067,0.0011202466,0.00010956741,0.00037363506],"category_scores_gemma":[0.0009381086,0.00017259874,0.00019139658,0.00012681758,0.0003885097,0.0001630465,0.000347499,0.0002693978,0.00012474232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010835405,0.00008005804,0.000010065704,0.00012420205,0.000058015146,0.00032165024,0.0004196162,8.130448e-7,0.000028003458,0.99609303,0.002182941,0.0006707426],"study_design_scores_gemma":[0.00042069616,0.000055851677,0.00007871911,0.000075746975,0.0001401443,0.0022055751,0.00019167323,0.0015809258,0.0003697481,0.9944409,0.00020200972,0.00023800408],"about_ca_topic_score_codex":0.00002540389,"about_ca_topic_score_gemma":0.0000039645965,"teacher_disagreement_score":0.041987434,"about_ca_system_score_codex":0.000046550325,"about_ca_system_score_gemma":0.00003360929,"threshold_uncertainty_score":0.9996002},"labels":[],"label_agreement":null},{"id":"W1940843482","doi":"10.1007/s10468-017-9757-1","title":"Lattice Properties of Oriented Exchange Graphs and Torsion Classes","year":2017,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Directorate for Mathematical and Physical Sciences","keywords":"Quiver; Quotient; Conjecture; Hasse diagram; Torsion (gastropod); Lattice (music); Partially ordered set","score_opus":0.046445911613762145,"score_gpt":0.3103589590792855,"score_spread":0.26391304746552335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1940843482","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9972986,0.00088009506,0.00014471317,0.000121529214,0.00029590144,0.00018889549,0.0000016190855,0.000026343003,0.0010423003],"genre_scores_gemma":[0.99882686,0.0002990863,0.0002864041,0.000025493504,0.0000458641,0.000011004882,0.0000011560201,0.0000124944,0.00049163646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992839,0.000087241424,0.00018404133,0.00019262341,0.00014812901,0.00010402771],"domain_scores_gemma":[0.999164,0.00013609721,0.00022280842,0.00034730622,0.00008024674,0.000049545433],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023132778,0.00010273623,0.00018211448,0.000045568773,0.00030805773,0.00005911417,0.00010577737,0.00006828944,0.000034304343],"category_scores_gemma":[0.0003840938,0.00007322069,0.000036471287,0.000033015884,0.00027154345,0.00022545195,0.0001378196,0.00006111072,5.408985e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000087039625,0.00002380607,0.0031753464,0.00012195212,0.0000425765,0.0000010326366,0.0013979074,6.8504065e-8,0.0014793894,0.9910683,0.0000810623,0.0025215074],"study_design_scores_gemma":[0.0004988994,0.000049911443,0.0082438085,0.00006706718,0.000054830038,0.000005423635,0.00092259806,0.0000274157,0.015236357,0.9747413,0.00005763508,0.000094756506],"about_ca_topic_score_codex":0.00006492901,"about_ca_topic_score_gemma":0.000005783662,"teacher_disagreement_score":0.016327014,"about_ca_system_score_codex":0.0000042512197,"about_ca_system_score_gemma":0.000010342124,"threshold_uncertainty_score":0.2985853},"labels":[],"label_agreement":null},{"id":"W1941165380","doi":"10.1090/s1088-4165-04-00199-2","title":"On tight monomials in quantized enveloping algebras","year":2004,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Monomial; Mathematics; Universal enveloping algebra; Pure mathematics; Algebra over a field; Lie algebra; Monomial basis; Basis (linear algebra); Geometry","score_opus":0.03858836319087284,"score_gpt":0.32991267814649083,"score_spread":0.291324314955618,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1941165380","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9763729,0.000012294719,0.021035245,0.0007019151,0.00012044798,0.0004365548,0.0000020622683,0.00004618875,0.0012723644],"genre_scores_gemma":[0.9889464,0.000011317917,0.01053253,0.0003101853,0.000044500604,0.000031828953,7.2745496e-7,0.000027919636,0.00009462463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982009,0.00027630632,0.00058320985,0.00027284582,0.00042163508,0.00024510035],"domain_scores_gemma":[0.9968864,0.0018851614,0.0005356816,0.0005931504,0.000044279972,0.000055382538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007079931,0.00018791448,0.0005484459,0.000036066853,0.000102160004,0.000021241125,0.00041119292,0.000061814295,0.000093180584],"category_scores_gemma":[0.0011509493,0.00012645435,0.00041825738,0.00044200997,0.00046776282,0.00007024384,0.00012394239,0.0002072155,0.000013303906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007744684,0.00014242524,0.00011237635,0.000051601837,0.000066076966,4.5096343e-7,0.0023059582,0.0002909636,0.0006323141,0.9958889,0.00009158527,0.00033990858],"study_design_scores_gemma":[0.00082051015,0.000047654885,0.0012255361,0.000125958,0.000031892327,0.0000026739515,0.0012954524,0.00012781691,0.009384987,0.9867938,0.000002841592,0.00014084943],"about_ca_topic_score_codex":0.000033774817,"about_ca_topic_score_gemma":0.0000012504958,"teacher_disagreement_score":0.012573438,"about_ca_system_score_codex":0.00013503087,"about_ca_system_score_gemma":0.000064407395,"threshold_uncertainty_score":0.5156659},"labels":[],"label_agreement":null},{"id":"W1944303398","doi":"10.1142/s0219498816501115","title":"DC-projective dimensions, Foxby equivalence and SDC-projective modules","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Projective module; Projective test; Projective cover; Injective function; Flat module; Equivalence (formal languages); Injective module; Pure mathematics; Pencil (optics); Discrete mathematics; Algebra over a field; Projective space; Collineation; Physics","score_opus":0.05934000801200586,"score_gpt":0.32436996738323637,"score_spread":0.26502995937123053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1944303398","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9868374,0.0034455217,0.007772111,0.00053413864,0.00018537285,0.00049418444,0.000009086174,0.000024699824,0.0006974928],"genre_scores_gemma":[0.9944211,0.00043580742,0.004663974,0.00007108761,0.00027234,0.00003418704,7.570623e-7,0.00001893663,0.0000817877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988794,0.00005664723,0.00039077655,0.00020098683,0.00029770168,0.00017451248],"domain_scores_gemma":[0.99842304,0.000280571,0.00037212935,0.00017952584,0.0005199759,0.00022472911],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034122306,0.00016210235,0.00030942686,0.000112395355,0.00016909848,0.000052539708,0.00016443878,0.00009622007,0.000007373851],"category_scores_gemma":[0.00028276292,0.0001234447,0.00006149383,0.00018799458,0.00008395064,0.00027133743,0.00011026694,0.00023611066,0.0000024577078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051130766,0.00008054038,0.00014314588,0.000028935818,0.000088003784,0.0000025536744,0.0015429164,0.00000280031,0.00060633465,0.99359494,0.00092926476,0.002929416],"study_design_scores_gemma":[0.00070684805,0.00024814814,0.00056614925,0.000045292534,0.000111111556,0.0001661491,0.0013218829,0.00021829412,0.0011838545,0.9941981,0.0010760145,0.00015815176],"about_ca_topic_score_codex":0.000008502093,"about_ca_topic_score_gemma":0.0000021121639,"teacher_disagreement_score":0.00758373,"about_ca_system_score_codex":0.000052961495,"about_ca_system_score_gemma":0.00012211168,"threshold_uncertainty_score":0.5033929},"labels":[],"label_agreement":null},{"id":"W1950250490","doi":"10.4171/prims/170","title":"The Denominators of Normalized $R$-matrices of Types $A_{2n-1}^{(2)}$, $A_{2n}^{(2)}$, $B_{n}^{(1)}$ and $D_{n+1}^{(2)}$","year":2015,"lang":"en","type":"preprint","venue":"Publications of the Research Institute for Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Quiver; Mathematics; Affine transformation; Pure mathematics; Type (biology); Duality (order theory); Functor; Simple (philosophy); Quantum affine algebra; Quantum; Combinatorics; Algebra over a field; Physics; Quantum mechanics; Cellular algebra; Algebra representation","score_opus":0.2564606081201297,"score_gpt":0.4565384264378572,"score_spread":0.20007781831772747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1950250490","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9568862,0.0044765105,0.0033577606,0.012308157,0.0015218644,0.0064181318,0.00046409888,0.00009929997,0.01446799],"genre_scores_gemma":[0.9837577,0.0003496877,0.014656682,0.0000059149975,0.00013211058,0.00048762347,0.000008483033,0.000032573465,0.0005692484],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99468887,0.00038519278,0.0014393285,0.0005856265,0.0022093493,0.00069163664],"domain_scores_gemma":[0.9896866,0.0048649875,0.0012475994,0.0016684148,0.0022947046,0.00023771128],"candidate_categories":["metaresearch","sts"],"consensus_categories":[],"category_scores_codex":[0.009717594,0.00034078,0.000902339,0.000453218,0.0010022275,0.00027488853,0.004345678,0.00032778498,0.00003128506],"category_scores_gemma":[0.017825559,0.00018529635,0.00036895872,0.0015077154,0.00623416,0.00035730176,0.002959971,0.00061790517,0.0000022827326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000369224,0.00019042991,0.00016205161,0.0012831471,0.0001304387,5.638285e-8,0.0006632591,0.00007378307,0.00006664853,0.99492615,0.0017305893,0.0007365438],"study_design_scores_gemma":[0.00033466998,0.00013544034,0.00013743469,0.00039874588,0.00012152812,0.0000051301236,0.00056783075,0.0019716625,0.0020394009,0.99135536,0.002739761,0.00019304284],"about_ca_topic_score_codex":0.00020175928,"about_ca_topic_score_gemma":0.000078838246,"teacher_disagreement_score":0.02687149,"about_ca_system_score_codex":0.00012018336,"about_ca_system_score_gemma":0.001693833,"threshold_uncertainty_score":0.9964703},"labels":[],"label_agreement":null},{"id":"W1962697231","doi":"10.1016/j.aim.2015.11.020","title":"Whittaker modules for the affine Lie algebra<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:math>","year":2015,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; Priority Academic Program Development of Jiangsu Higher Education Institutions; University of Waterloo; Hrvatska Zaklada za Znanost; National Natural Science Foundation of China; Wilfrid Laurier University","keywords":"Mathematics; SL2(R); Pure mathematics; Algebra over a field; Lie algebra","score_opus":0.023107383433971104,"score_gpt":0.25968143653157133,"score_spread":0.2365740530976002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1962697231","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60645854,0.008702242,0.006060006,0.0016729039,0.009441733,0.00032098597,0.0015343222,0.0008347678,0.3649745],"genre_scores_gemma":[0.96588385,0.0047205323,0.01417881,0.0019201493,0.005065452,0.0035943687,0.0016661311,0.0022687556,0.0007019505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.979238,0.0009186012,0.0049492302,0.0037177224,0.005844756,0.0053316997],"domain_scores_gemma":[0.9799474,0.0063511143,0.00538141,0.0053510917,0.00068621564,0.0022827922],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0048163803,0.0024482086,0.0011729057,0.0010672238,0.002806094,0.0030397354,0.0059429747,0.0050385767,0.2640839],"category_scores_gemma":[0.0068108593,0.004181138,0.0038233672,0.0025466525,0.0035053098,0.0034926157,0.0042639775,0.0038365445,0.0024240732],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0019048295,0.0008753619,0.000014586962,0.0033777822,0.0029226695,0.0009811071,0.005916236,0.004628464,0.0005410567,0.7102846,0.26404154,0.0045117503],"study_design_scores_gemma":[0.0059412583,0.0033093723,0.000043511638,0.0040324214,0.00458656,0.002153535,0.010600606,0.11118048,0.80307686,0.03930386,0.011109163,0.004662402],"about_ca_topic_score_codex":0.0012371242,"about_ca_topic_score_gemma":0.002556821,"teacher_disagreement_score":0.8025358,"about_ca_system_score_codex":0.000079729085,"about_ca_system_score_gemma":0.002973066,"threshold_uncertainty_score":0.99943537},"labels":[],"label_agreement":null},{"id":"W1964428770","doi":"10.1007/jhep10(2014)062","title":"The superconformal index and an elliptic algebra of surface defects","year":2014,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Science and Technology Facilities Council; Engineering and Physical Sciences Research Council; Institut Périmètre de physique théorique; Industry Canada; Government of Canada","keywords":"Superconformal algebra; Embedding; Antisymmetric tensor; Antisymmetric relation; Supersymmetry; Supersymmetric gauge theory; Tensor (intrinsic definition); Superstring theory; Interpretation (philosophy)","score_opus":0.011349836296772007,"score_gpt":0.2406593073153104,"score_spread":0.2293094710185384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964428770","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9815984,0.00012752115,0.017585872,0.00003490164,0.00043979305,0.000021937245,5.65496e-7,0.000005979067,0.0001850404],"genre_scores_gemma":[0.9988383,0.00007535082,0.0005105318,0.000038364713,0.00048512165,3.5580075e-7,3.747284e-7,0.000017886512,0.00003370888],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900085,0.00008112031,0.00036701985,0.00007341346,0.00031604042,0.00016155616],"domain_scores_gemma":[0.99873775,0.00039343306,0.00037221034,0.00022277652,0.00018609506,0.00008771993],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026954274,0.00012566095,0.00029809418,0.00001746932,0.00010555215,0.00004022827,0.00023700907,0.0000661737,0.0000035757837],"category_scores_gemma":[0.000056137804,0.00007759554,0.00009263035,0.00007496329,0.000088124616,0.0002405364,0.000048150687,0.00015335016,1.87967e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004742231,0.00003629145,0.00015873813,0.000015086898,0.00005414297,8.3881224e-7,0.00017021799,0.00044183098,0.00019257085,0.9967028,0.00007144934,0.0021085977],"study_design_scores_gemma":[0.0005649494,0.00031362515,0.0003822281,0.000021730473,0.000051276427,0.000016760496,0.00006872749,0.00081404345,0.005621014,0.9917662,0.00028823735,0.00009121404],"about_ca_topic_score_codex":0.00003152217,"about_ca_topic_score_gemma":0.0000075657986,"teacher_disagreement_score":0.017239915,"about_ca_system_score_codex":0.000014282982,"about_ca_system_score_gemma":0.000046666788,"threshold_uncertainty_score":0.3164254},"labels":[],"label_agreement":null},{"id":"W1964820590","doi":"10.1090/s0002-9947-2011-05420-6","title":"Irreducible finite-dimensional representations of equivariant map algebras","year":2011,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Equivariant map; Representation theory of SU; (g,K)-module; Lie algebra; Irreducible representation; Tensor (intrinsic definition); Algebra over a field; Scheme (mathematics); Representation theory","score_opus":0.04974745234623113,"score_gpt":0.30049246063711715,"score_spread":0.25074500829088603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964820590","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6541494,0.000033279142,0.34088802,0.0005797281,0.00041646865,0.00060948427,0.00005256974,0.000100006815,0.0031709918],"genre_scores_gemma":[0.9005007,0.0000044697745,0.09902597,0.000055190816,0.000022149157,0.000024419802,6.934639e-7,0.000024320561,0.0003420894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984953,0.00008254039,0.0005693782,0.0002119973,0.0004181269,0.0002226741],"domain_scores_gemma":[0.9978693,0.0007362169,0.00044932636,0.000741554,0.00012623137,0.000077344135],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00024142796,0.00016668542,0.00046100275,0.000027871747,0.00014784148,0.000006314485,0.0004347123,0.000059899085,0.000965263],"category_scores_gemma":[0.00013118575,0.0001151209,0.00065754866,0.00041682966,0.0007930508,0.00007586362,0.000045098986,0.0002043461,0.000007869886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007986122,0.0012053592,0.000113431386,0.0003406424,0.00065383967,5.259666e-7,0.00804234,0.0002654279,0.002166599,0.98555595,0.0009208153,0.0006551935],"study_design_scores_gemma":[0.0002567544,0.00009577144,0.00043586464,0.00005753574,0.0002235283,0.0000058202863,0.0011887411,0.0010107128,0.009567983,0.98702,0.000010803884,0.0001264515],"about_ca_topic_score_codex":0.00016942347,"about_ca_topic_score_gemma":0.0000020518528,"teacher_disagreement_score":0.24635126,"about_ca_system_score_codex":0.0000288034,"about_ca_system_score_gemma":0.00007860769,"threshold_uncertainty_score":0.99994797},"labels":[],"label_agreement":null},{"id":"W1964951128","doi":"10.1016/j.jalgebra.2015.02.024","title":"An explicit derived equivalence of Azumaya algebras on K3 surfaces via Koszul duality","year":2015,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada; Irish Research Council for Science, Engineering and Technology","keywords":"Mathematics; Pure mathematics; Equivalence (formal languages); Moduli space; Moduli; Duality (order theory); Morita equivalence; Algebraic number; Stack (abstract data type); Mathematical analysis; Physics; Quantum mechanics; Computer science","score_opus":0.08663220865532238,"score_gpt":0.3589448916307292,"score_spread":0.2723126829754068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964951128","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9920675,0.00071579276,0.0026997344,0.00024224067,0.003348986,0.0004116398,0.000034406505,0.000053458825,0.00042624417],"genre_scores_gemma":[0.993333,0.00015126994,0.005250282,0.0001035984,0.0009983568,0.000007738582,0.000008086762,0.0000984796,0.000049193502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99441874,0.0005378585,0.0021599408,0.00055480236,0.0018155783,0.0005131045],"domain_scores_gemma":[0.99224645,0.0005852289,0.0038419566,0.0014039578,0.0014161484,0.0005062513],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0020779541,0.0007000477,0.0018780837,0.00031065292,0.00009777069,0.00012649292,0.0017748788,0.0007343599,0.00023761265],"category_scores_gemma":[0.00077822123,0.00057116,0.0006654532,0.00020212888,0.00016641467,0.00034025958,0.0005971398,0.0016362343,0.0000083416335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0029894577,0.0032572835,0.0017839395,0.0031038076,0.0030574023,0.0003405899,0.014389092,0.0056199557,0.016505292,0.93318117,0.009679022,0.0060929754],"study_design_scores_gemma":[0.0011172546,0.0011005969,0.0010520025,0.0007689376,0.00030975437,0.000077107565,0.00040129028,0.00029561104,0.013111822,0.98117375,0.00004513287,0.00054676237],"about_ca_topic_score_codex":0.000081216385,"about_ca_topic_score_gemma":0.000010760011,"teacher_disagreement_score":0.047992546,"about_ca_system_score_codex":0.00028785193,"about_ca_system_score_gemma":0.00073696487,"threshold_uncertainty_score":0.99967396},"labels":[],"label_agreement":null},{"id":"W1965017761","doi":"10.1016/j.jalgebra.2009.09.019","title":"An upper bound on the essential dimension of a central simple algebra","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Dimension (graph theory); Upper and lower bounds; Simple (philosophy); Pure mathematics; Algebra over a field; Projective test; Combinatorics; Mathematical analysis","score_opus":0.016567483151302687,"score_gpt":0.28594856052978634,"score_spread":0.26938107737848366,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965017761","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9972195,0.0000912518,0.00041575028,0.0011113462,0.0007090797,0.00014431715,0.000002379454,0.000014351159,0.00029204506],"genre_scores_gemma":[0.9982944,0.000018250894,0.0004909653,0.00046400272,0.0006869896,5.8708764e-7,0.0000010913855,0.00002117744,0.000022511225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801344,0.00013995983,0.0006912353,0.00014746831,0.0006859742,0.00032189884],"domain_scores_gemma":[0.99827236,0.0002778828,0.0006673456,0.00041497956,0.00020879254,0.00015862571],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042229262,0.00020245959,0.00042387247,0.00009961515,0.0001364634,0.00006805207,0.00045586855,0.00011851423,0.0002964992],"category_scores_gemma":[0.00021082285,0.00012123136,0.00029540723,0.00015621202,0.000070902184,0.00022485087,0.000029261224,0.00036817836,0.0000028073741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031679947,0.00038078957,0.00014967461,0.000012386021,0.00009882496,0.00002130723,0.0009714363,0.0000380341,0.00702044,0.9852589,0.0044368785,0.0012945734],"study_design_scores_gemma":[0.00077778974,0.0011694928,0.0035586152,0.0000680014,0.0000950943,0.00006415729,0.00021370925,0.00011933277,0.018084897,0.97549987,0.00020811311,0.00014094936],"about_ca_topic_score_codex":0.0000067393225,"about_ca_topic_score_gemma":0.0000015050031,"teacher_disagreement_score":0.011064457,"about_ca_system_score_codex":0.00005183399,"about_ca_system_score_gemma":0.00010822435,"threshold_uncertainty_score":0.49436712},"labels":[],"label_agreement":null},{"id":"W1965101337","doi":"10.1142/s0219498806001764","title":"ARTICULATIONS OF ALGEBRAS AND THEIR HOMOLOGICAL PROPERTIES","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Articulation (sociology); Simple (philosophy); Algebra over a field; Epistemology","score_opus":0.0276446598481326,"score_gpt":0.2512599007106141,"score_spread":0.2236152408624815,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965101337","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9931544,0.0021133672,0.0037404504,0.00047529562,0.00003634389,0.0001913573,0.0000032921632,0.000010320451,0.00027518094],"genre_scores_gemma":[0.9985772,0.00009612966,0.0010730065,0.000023118442,0.00015276154,0.000014133851,6.362812e-7,0.000008436017,0.00005461293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992287,0.000026479167,0.0004375219,0.00009201133,0.00011652033,0.00009872401],"domain_scores_gemma":[0.9991772,0.00015938214,0.0003011555,0.0001079258,0.00019741362,0.00005688808],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013461722,0.000099866455,0.00024358672,0.00006446153,0.000106101514,0.000024533332,0.0000931296,0.00006632562,0.000017301487],"category_scores_gemma":[0.000058193084,0.000061934436,0.00006236385,0.000111337824,0.00009059644,0.000108674176,0.000038148148,0.00010800481,5.0332255e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010542083,0.000091512076,0.00025015912,0.000031703497,0.000031292075,3.7726372e-7,0.00017316332,0.000006336978,0.005175791,0.99320406,0.00015749045,0.00086757925],"study_design_scores_gemma":[0.0002905696,0.00009015534,0.0039069885,0.000024758416,0.00005144794,0.0000884699,0.00016162034,0.00012494293,0.0058272923,0.988713,0.000641464,0.00007925684],"about_ca_topic_score_codex":0.0000037968496,"about_ca_topic_score_gemma":0.000001728706,"teacher_disagreement_score":0.0054227724,"about_ca_system_score_codex":0.000008690315,"about_ca_system_score_gemma":0.000030514935,"threshold_uncertainty_score":0.2525613},"labels":[],"label_agreement":null},{"id":"W1965736880","doi":"10.1016/j.aim.2005.11.010","title":"When is a Schubert variety Gorenstein?","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":61,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Schubert variety; Variety (cybernetics); Pure mathematics; Generalization; Smoothness; Line bundle; Sheaf; Schubert calculus; Property (philosophy); Ample line bundle; Bundle; Algebra over a field; Grassmannian; Mathematical analysis","score_opus":0.018494582487230384,"score_gpt":0.30425174868571575,"score_spread":0.28575716619848535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965736880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7408305,0.0082237935,0.08199946,0.0037023157,0.0025983073,0.0025428056,0.00003144288,0.000911681,0.15915972],"genre_scores_gemma":[0.6629752,0.00029540772,0.33431643,0.00046581315,0.0003704011,0.000062273604,0.0000019800732,0.00006966865,0.0014428173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983189,0.000029186811,0.000583769,0.00029622877,0.00039373487,0.00037819162],"domain_scores_gemma":[0.9986598,0.00039311603,0.00020188192,0.000603309,0.000062995656,0.00007891736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026793036,0.00026083566,0.00042690858,0.00007760727,0.00007358937,0.0000430716,0.0004002088,0.00013725467,0.0005535097],"category_scores_gemma":[0.00025914676,0.00022185966,0.000108944354,0.00018364494,0.000080098514,0.0004477693,0.000116265524,0.0002475692,0.0000687008],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000084846315,0.0001804658,0.000112872185,0.0001848806,0.000019885985,0.000003391836,0.0062827948,0.000042199343,0.000010823239,0.9787388,0.0012029924,0.013212396],"study_design_scores_gemma":[0.0005330597,0.000029480452,0.000010891695,0.00010815603,0.000023374287,0.000013539951,0.00030290033,0.0026658028,0.00045228133,0.9730882,0.022510398,0.0002619076],"about_ca_topic_score_codex":0.000004189848,"about_ca_topic_score_gemma":0.000029096464,"teacher_disagreement_score":0.25231698,"about_ca_system_score_codex":0.000094994146,"about_ca_system_score_gemma":0.000032987573,"threshold_uncertainty_score":0.90471745},"labels":[],"label_agreement":null},{"id":"W1965966420","doi":"10.1007/s00493-010-2329-1","title":"Type-II matrices and combinatorial structures","year":2010,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; York University","funders":"","keywords":"Mathematics; Combinatorics; Type (biology); Connection (principal bundle); Class (philosophy); Combinatorial analysis; Combinatorial proof; Discrete mathematics; Geometry; Computer science","score_opus":0.018614966392392716,"score_gpt":0.282572723573241,"score_spread":0.26395775718084824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965966420","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97954077,0.00028089772,0.00001845299,0.00020524385,0.013866852,0.00028003173,0.00000287655,0.00024718652,0.005557707],"genre_scores_gemma":[0.9980436,0.000038026228,0.0009974808,0.000059192735,0.00053428963,0.000014293378,0.000003350718,0.000054302014,0.0002554773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983184,0.000050250266,0.0003522188,0.00044332136,0.0004177519,0.00041806325],"domain_scores_gemma":[0.99847573,0.00031147018,0.00017794824,0.0006050179,0.00019142356,0.0002383855],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00021536887,0.00032673567,0.0004249656,0.000115697076,0.00050181674,0.00010822453,0.00045088664,0.0003161229,0.00030601118],"category_scores_gemma":[0.0005049754,0.00027995472,0.000084407664,0.00037751228,0.00015138685,0.00016593203,0.00036885377,0.0006357385,0.000010610009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036755606,0.00008627736,0.00056279136,0.000034733766,0.00003557343,0.0000061093315,0.0002337127,8.371006e-8,0.0006061599,0.99258786,0.0048628123,0.0009471243],"study_design_scores_gemma":[0.0011898717,0.00022703221,0.0009306525,0.000007971814,0.00005378778,0.000032157834,0.000034370525,0.000021527383,0.0011078496,0.9799829,0.016067343,0.00034452017],"about_ca_topic_score_codex":0.000027692293,"about_ca_topic_score_gemma":0.0000027803624,"teacher_disagreement_score":0.018502835,"about_ca_system_score_codex":0.00003098888,"about_ca_system_score_gemma":0.00007395186,"threshold_uncertainty_score":0.99996525},"labels":[],"label_agreement":null},{"id":"W1966177675","doi":"10.1216/jca-2009-1-3-507","title":"Minimal Intersections and vanishing (co)homology","year":2009,"lang":"en","type":"article","venue":"Journal of Commutative Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Codimension; Functor; Pure mathematics; Noetherian; Homology (biology); Class (philosophy); Local ring; Noetherian ring; Finitely-generated abelian group; Algebra over a field; Computer science; Ring (chemistry)","score_opus":0.03629382051072787,"score_gpt":0.3449788916133852,"score_spread":0.3086850711026573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966177675","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910263,0.00024455832,0.0051879166,0.0010098063,0.0003788154,0.000067858746,0.0000013612803,0.000014619986,0.0020687634],"genre_scores_gemma":[0.9952874,0.000023251363,0.0041328976,0.00030540163,0.00020280831,6.8351176e-7,3.6449492e-7,0.000010757397,0.000036406393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896,0.00015405948,0.00044610456,0.000088758556,0.00018842309,0.00016262582],"domain_scores_gemma":[0.99860823,0.00057579286,0.00042483173,0.0001223719,0.00017124967,0.000097501106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032927902,0.00013392801,0.0003477162,0.00012081809,0.00012738776,0.000051332634,0.00020342185,0.000077770674,0.000069733534],"category_scores_gemma":[0.000328951,0.00010757529,0.00011367019,0.0000928813,0.00008901939,0.00026205674,0.00003452639,0.00042345675,0.000001626654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019078981,0.0001472743,0.0004077643,0.000013764224,0.00019367598,0.00007361387,0.00860032,0.000005037542,0.0008261171,0.9813877,0.0027708798,0.0053830803],"study_design_scores_gemma":[0.0007650645,0.00094558945,0.0032780308,0.00004229302,0.000059971466,0.00062433735,0.0014859182,0.000026061289,0.00094927225,0.99143934,0.000274885,0.00010921628],"about_ca_topic_score_codex":0.0000036507304,"about_ca_topic_score_gemma":0.000002912708,"teacher_disagreement_score":0.010051677,"about_ca_system_score_codex":0.000045347362,"about_ca_system_score_gemma":0.00004447873,"threshold_uncertainty_score":0.43867928},"labels":[],"label_agreement":null},{"id":"W1966562828","doi":"10.1016/j.jpaa.2010.12.013","title":"Friezes and a construction of the Euclidean cluster variables","year":2011,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Cluster algebra; Quiver; Mathematics; Cluster (spacecraft); Euler's formula; Euclidean geometry; Character (mathematics); Path (computing); Algebra over a field; Euclidean space; Combinatorics; Pure mathematics; Computer science; Geometry; Mathematical analysis","score_opus":0.020165189449177397,"score_gpt":0.2292330705096592,"score_spread":0.2090678810604818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966562828","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99634284,0.00015957597,0.0005757883,0.00009870054,0.0003019702,0.000096785836,0.0000011061104,0.0000043664472,0.002418892],"genre_scores_gemma":[0.9939101,0.000044762888,0.0057961126,0.00006696034,0.00015276614,0.0000010964693,6.3375666e-8,0.000009305021,0.000018835397],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929446,0.000027828584,0.0003389047,0.000076908145,0.00016088021,0.00010098949],"domain_scores_gemma":[0.9992511,0.00010090091,0.0004172998,0.00011450188,0.00006162835,0.000054562148],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024848426,0.00009829836,0.0002467259,0.000037280035,0.00006754551,0.000017689232,0.00011577571,0.00008913857,0.00003596993],"category_scores_gemma":[0.000046460933,0.000056730314,0.000058002268,0.00006467538,0.00011965351,0.000065528955,0.00006740883,0.00017798677,1.3998279e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068064044,0.000022131719,0.0005126236,0.000044148306,0.00006814225,6.4007133e-7,0.0015213547,2.282195e-7,0.00042184157,0.9951176,0.00030667137,0.0019165364],"study_design_scores_gemma":[0.00059998466,0.00005924683,0.0013296615,0.00004409612,0.00010629208,0.000120120894,0.0008314859,0.0000041642866,0.0041564675,0.99254084,0.00014179663,0.000065868546],"about_ca_topic_score_codex":0.0000023590271,"about_ca_topic_score_gemma":0.0000022711754,"teacher_disagreement_score":0.0052203243,"about_ca_system_score_codex":0.0000060066436,"about_ca_system_score_gemma":0.0000296372,"threshold_uncertainty_score":0.2313395},"labels":[],"label_agreement":null},{"id":"W1967075239","doi":"10.1016/j.jpaa.2007.09.005","title":"Some subalgebras of indefinite type Kac–Moody Lie algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Subalgebra; Graded Lie algebra; Type (biology); Pure mathematics; Rank (graph theory); Lie conformal algebra; Dynkin diagram; Lie algebra; Cartan subalgebra; Algebra over a field; Kac–Moody algebra; Affine Lie algebra; Adjoint representation of a Lie algebra; Combinatorics; Current algebra","score_opus":0.022731717026674113,"score_gpt":0.2721058291573624,"score_spread":0.2493741121306883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967075239","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99495435,0.001483187,0.0005172777,0.00015617721,0.00083675655,0.00018194309,0.0000028602767,0.000024998923,0.0018424756],"genre_scores_gemma":[0.9960351,0.00020365037,0.0022292873,0.00027671817,0.0011349063,0.000001352418,0.0000016415094,0.00004755759,0.00006976136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997585,0.000033071054,0.0011122711,0.0002218923,0.0006426934,0.0004050476],"domain_scores_gemma":[0.99766904,0.00047888036,0.0009891515,0.00027859697,0.00032879767,0.0002555356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009887223,0.0003064746,0.00076424197,0.0002718049,0.000100000754,0.000046661495,0.00037121415,0.00028572662,0.000101655765],"category_scores_gemma":[0.00021061479,0.00024075358,0.00019328816,0.0003661856,0.00013115277,0.00019901192,0.000113098664,0.00053674594,0.0000063686084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029699432,0.00013401844,0.00048666468,0.00010482401,0.00017570397,0.000022916984,0.0005532979,0.000001106747,0.003886104,0.99059975,0.001642725,0.0020959014],"study_design_scores_gemma":[0.0013216438,0.00034311178,0.0018228606,0.00006735231,0.00016516274,0.000099380864,0.00039923092,0.0000013654118,0.0164509,0.97848296,0.0005935976,0.00025242422],"about_ca_topic_score_codex":0.0000030930341,"about_ca_topic_score_gemma":0.000003479576,"teacher_disagreement_score":0.012564797,"about_ca_system_score_codex":0.0000373755,"about_ca_system_score_gemma":0.00012503665,"threshold_uncertainty_score":0.9817646},"labels":[],"label_agreement":null},{"id":"W1967224376","doi":"10.1007/s10468-008-9103-8","title":"Engel’s Theorem for Generalized Lie Algebras","year":2008,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Pure mathematics; Lie algebra; Hopf algebra; Algebra over a field","score_opus":0.04995218947809497,"score_gpt":0.3137780743978772,"score_spread":0.2638258849197822,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967224376","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98126304,0.00072472246,0.013769472,0.00027898102,0.00071348686,0.0006951472,0.000009053072,0.0001550035,0.0023910755],"genre_scores_gemma":[0.9919107,0.00026199204,0.004323158,0.00035341157,0.0005038531,0.00013478711,0.00002197923,0.00005639254,0.0024337175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842584,0.00020162224,0.0003873909,0.00043007557,0.00025082685,0.00030423742],"domain_scores_gemma":[0.99802244,0.0011315943,0.00018068528,0.00041433415,0.00012223363,0.00012869881],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042247094,0.00023858067,0.00034773606,0.000087885535,0.000435739,0.00004358314,0.00018878057,0.00015349554,0.00024309533],"category_scores_gemma":[0.00045138472,0.00018985463,0.00017301277,0.0001366452,0.00023255881,0.0001737161,0.00008066745,0.00012175029,0.000007858175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019201949,0.000046119425,0.00032540248,0.000035124744,0.000107475884,0.000005018987,0.0014956526,0.0000026838372,0.0003336655,0.99251527,0.0023625675,0.0025789754],"study_design_scores_gemma":[0.0016863074,0.00008909303,0.0007575425,0.000012312474,0.00009167148,0.000051852978,0.00038203725,0.000084207626,0.0049235155,0.99099576,0.0006720574,0.00025365906],"about_ca_topic_score_codex":0.000014374939,"about_ca_topic_score_gemma":0.0000020557159,"teacher_disagreement_score":0.010647651,"about_ca_system_score_codex":0.000021265621,"about_ca_system_score_gemma":0.000046125955,"threshold_uncertainty_score":0.77420473},"labels":[],"label_agreement":null},{"id":"W1967275581","doi":"10.4153/cjm-2010-022-1","title":"Verma Modules over Quantum Torus Lie Algebras","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Torus; Verma module; Mathematics; Pure mathematics; Quantum; Lie algebra; Center (category theory); Maximal torus; Irreducible representation; Fundamental representation; Algebra over a field; Quantum mechanics; Weight; Physics; Geometry","score_opus":0.027814237851207346,"score_gpt":0.268627407335462,"score_spread":0.24081316948425463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967275581","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9936923,0.00051656156,0.002192159,0.00051967596,0.0011200183,0.00013481779,0.0000076471515,0.000019577965,0.001797277],"genre_scores_gemma":[0.9905243,0.000017273967,0.008500878,0.00028612945,0.0004889174,8.3612497e-7,7.0668216e-7,0.000033635566,0.0001473572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982808,0.00003764287,0.0007346725,0.00012511664,0.00039073263,0.00043103282],"domain_scores_gemma":[0.9980419,0.00019921083,0.0005006166,0.00037993139,0.0002201778,0.0006581518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037457375,0.00023772071,0.00050886965,0.00022919908,0.00014692517,0.000109572655,0.0005056531,0.00016136897,0.0003085237],"category_scores_gemma":[0.00059470243,0.00019816065,0.0002327833,0.00016736901,0.000063660926,0.00019195152,0.000012515915,0.00032481935,0.000014660049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000055561036,0.000050864986,0.00007229978,0.000045131426,0.000061641964,0.0001188001,0.0013412536,0.00001310549,0.00005316495,0.9853228,0.012017304,0.0008981258],"study_design_scores_gemma":[0.0004893977,0.00018525797,0.0006844908,0.00015922301,0.0000847308,0.00025339867,0.0003435845,0.000324565,0.00023956882,0.99511594,0.0018964406,0.0002234322],"about_ca_topic_score_codex":0.00014434708,"about_ca_topic_score_gemma":0.0004987044,"teacher_disagreement_score":0.010120863,"about_ca_system_score_codex":0.00018474118,"about_ca_system_score_gemma":0.00054544566,"threshold_uncertainty_score":0.80807567},"labels":[],"label_agreement":null},{"id":"W1967385964","doi":"10.1088/1751-8113/41/19/194009","title":"Twisted spin Sutherland models from quantum Hamiltonian reduction","year":2008,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"Hungarian Scientific Research Fund","keywords":"Hamiltonian (control theory); Integrable system; Mathematics; Irreducible representation; Pure mathematics; Symmetry group; Dynkin diagram; Homogeneous space; Mathematical physics; Weyl group; Representation theory; Lie group; Automorphism; Lie algebra; Geometry","score_opus":0.0361867900989821,"score_gpt":0.2723675492990013,"score_spread":0.2361807592000192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967385964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9608489,0.000099028155,0.037709337,0.00027056175,0.00024831976,0.00011014217,0.0000050676267,0.000021896969,0.0006867456],"genre_scores_gemma":[0.99252945,0.000045987937,0.006654082,0.000028037417,0.0006795945,0.0000024923825,9.4340146e-7,0.000031823725,0.000027589456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983277,0.00010022285,0.0006547093,0.00017977196,0.0004999148,0.00023768649],"domain_scores_gemma":[0.9986324,0.0004419057,0.00029858592,0.00023608719,0.00017056559,0.00022050319],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028965884,0.00022106316,0.00060913415,0.000040558556,0.00011977116,0.000041307696,0.0001959309,0.00013658397,0.00014006396],"category_scores_gemma":[0.00018969932,0.0001495934,0.00021130763,0.00010474727,0.0005809937,0.0001850099,0.00006748896,0.0003719076,0.000006245041],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012055611,0.00024465358,0.000007521908,0.000037257734,0.00009728506,0.000028792816,0.001402845,0.0000069526113,0.0003347206,0.9972317,0.00011067473,0.00037704114],"study_design_scores_gemma":[0.00083244586,0.00020861336,0.00002511496,0.00012424451,0.00011951701,0.0004323038,0.00016232264,0.0076285307,0.000862459,0.98941857,0.000009967818,0.00017589709],"about_ca_topic_score_codex":0.0000027336575,"about_ca_topic_score_gemma":7.1611026e-8,"teacher_disagreement_score":0.03168055,"about_ca_system_score_codex":0.00002814637,"about_ca_system_score_gemma":0.00005588129,"threshold_uncertainty_score":0.61002415},"labels":[],"label_agreement":null},{"id":"W1967438045","doi":"10.4153/cmb-2011-199-5","title":"Characterization of Simple Highest Weight Modules","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Wilfrid Laurier University","keywords":"Mathematics; Virasoro algebra; Affine Lie algebra; Generalized Kac–Moody algebra; Affine transformation; Pure mathematics; Simple (philosophy); Simple module; Rank (graph theory); Lie algebra; Algebra over a field; Characterization (materials science); Algebra representation; Current algebra; Cellular algebra; Combinatorics","score_opus":0.03268502767780219,"score_gpt":0.22758741234317928,"score_spread":0.1949023846653771,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967438045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97514296,0.000009699975,0.0032533149,0.0004820956,0.00018612131,0.00028986047,0.000030502488,0.00005482589,0.020550609],"genre_scores_gemma":[0.9960767,0.000002672005,0.003037265,0.00012996371,0.00009196978,0.000020986115,0.000012256288,0.00003639492,0.0005917678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988538,0.000040366594,0.00040434155,0.00019197182,0.00018502166,0.00032450396],"domain_scores_gemma":[0.9989583,0.00010587644,0.0001314507,0.00038409847,0.00008860008,0.00033167977],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015216152,0.00016902164,0.000326499,0.00010205586,0.00006878559,0.0000142806475,0.0002612348,0.00013966823,0.020303143],"category_scores_gemma":[0.00023546531,0.0001471807,0.000089096146,0.00010816716,0.000088833076,0.00003168968,0.000032663967,0.000105271625,0.0005947748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068782592,0.000044118482,0.00005862672,0.0001036272,0.000023125785,0.0000073053006,0.00047029537,3.795088e-8,0.00044517117,0.9967345,0.0018918467,0.00021449006],"study_design_scores_gemma":[0.00018001549,0.000036944737,0.00068071194,0.00004371789,0.000032140153,0.0000071776617,0.0000338346,0.000036472073,0.0043765744,0.98646843,0.0079311365,0.00017284979],"about_ca_topic_score_codex":0.00057017314,"about_ca_topic_score_gemma":0.00019590663,"teacher_disagreement_score":0.020933753,"about_ca_system_score_codex":0.00005688878,"about_ca_system_score_gemma":0.00007097784,"threshold_uncertainty_score":0.9805924},"labels":[],"label_agreement":null},{"id":"W1967535480","doi":"10.1016/j.jalgebra.2010.04.027","title":"Cocycle deformations for Hopf algebras with a coalgebra projection","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Hopf algebra; Mathematics; Coalgebra; Projection (relational algebra); Pure mathematics; Quasitriangular Hopf algebra; Algebra over a field; Algebra representation; Division algebra","score_opus":0.019507541079480734,"score_gpt":0.29280986253653013,"score_spread":0.2733023214570494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967535480","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98027354,0.000030536914,0.01648936,0.00055388716,0.0015324337,0.000489087,0.0000058315554,0.000048612354,0.00057672936],"genre_scores_gemma":[0.9739061,0.000006371829,0.02492868,0.00011641829,0.00084974203,0.00002834918,0.0000025889037,0.00004661978,0.000115104005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839634,0.000033797176,0.00066033873,0.00015105408,0.0004569963,0.0003014807],"domain_scores_gemma":[0.9978087,0.00033688985,0.00078839116,0.00028741496,0.0006152765,0.00016335637],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050240493,0.00021727885,0.00040490617,0.00020578803,0.0002629198,0.0001053761,0.00031672782,0.00016782875,0.00009980688],"category_scores_gemma":[0.00039819145,0.0001498452,0.0002261006,0.00023739433,0.00008301143,0.00053748244,0.00003278313,0.0005253504,0.0000043299015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003797007,0.00019423482,0.0004570241,0.00009321015,0.00021595831,0.0000070670944,0.0010653704,0.000011436494,0.0018928107,0.9889792,0.004293463,0.002410506],"study_design_scores_gemma":[0.0023081447,0.0008250606,0.00058393256,0.0000613516,0.0001911923,0.0006369141,0.00038477418,0.00021686897,0.004286773,0.98725206,0.0030010815,0.00025186795],"about_ca_topic_score_codex":0.000007786462,"about_ca_topic_score_gemma":0.0000413782,"teacher_disagreement_score":0.00843932,"about_ca_system_score_codex":0.00005129747,"about_ca_system_score_gemma":0.0002569723,"threshold_uncertainty_score":0.611051},"labels":[],"label_agreement":null},{"id":"W1967765235","doi":"10.1112/s0024610703004927","title":"HOPF ALGEBRAS OF DIMENSION 14","year":2004,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Mathematics; Hopf algebra; Dimension (graph theory); Representation theory of Hopf algebras; Algebraically closed field; Quasitriangular Hopf algebra; Algebra over a field; Pure mathematics; Division algebra; Group algebra; Group (periodic table); Filtered algebra; Cellular algebra; Algebra representation; Physics","score_opus":0.020654962525819193,"score_gpt":0.27441625457808627,"score_spread":0.25376129205226705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967765235","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9885327,0.00015486941,0.008717519,0.0014785754,0.00058739545,0.00017553126,0.000001290414,0.000014069006,0.0003380465],"genre_scores_gemma":[0.9733031,0.000026002572,0.026124505,0.00018551268,0.00020278254,0.0000013424271,8.292458e-8,0.00002560506,0.00013107638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979955,0.000060621867,0.0008277477,0.000102982245,0.0007958777,0.00021728722],"domain_scores_gemma":[0.99805105,0.00039447032,0.0008298726,0.00038222809,0.00024082781,0.000101567515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006922386,0.00017270647,0.0005377634,0.000019890407,0.00012137697,0.000021577505,0.0005185628,0.00015791063,0.00009974629],"category_scores_gemma":[0.0006047864,0.00009336438,0.0009551379,0.00019350182,0.00015468063,0.00010459067,0.00016529283,0.00041153585,0.0000049122596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000318215,0.00028179077,0.00005031538,0.00021750988,0.00018606143,0.0000024672356,0.0018304144,0.00008904348,0.0022197366,0.9924068,0.002549362,0.00013469388],"study_design_scores_gemma":[0.0011842591,0.000110871115,0.00011137848,0.00029137576,0.0001495601,0.000095590556,0.00020331157,0.00005556636,0.010466838,0.9871443,0.00008588527,0.00010105428],"about_ca_topic_score_codex":0.0000020262216,"about_ca_topic_score_gemma":3.1725716e-7,"teacher_disagreement_score":0.017406987,"about_ca_system_score_codex":0.000107634645,"about_ca_system_score_gemma":0.00010064729,"threshold_uncertainty_score":0.3807289},"labels":[],"label_agreement":null},{"id":"W1968425634","doi":"10.4171/prims/112","title":"Nakajima Varieties and Repetitive Algebras","year":2013,"lang":"en","type":"preprint","venue":"Publications of the Research Institute for Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Pure mathematics; Mathematics; Intersection (aeronautics); Orbit (dynamics); Type (biology); Intersection homology; Cohomology; Quantum; Physics; Geography","score_opus":0.2519975637818371,"score_gpt":0.43767998827743154,"score_spread":0.18568242449559447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968425634","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81382376,0.0009854686,0.034336004,0.08253652,0.00241147,0.012619613,0.00034359627,0.0003082222,0.052635357],"genre_scores_gemma":[0.93586576,0.00007495043,0.060141094,0.00003091265,0.00021951586,0.0017935808,0.00000948697,0.00002750758,0.001837167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99681944,0.00019004167,0.0005980435,0.0005748928,0.0013073279,0.0005102494],"domain_scores_gemma":[0.9949668,0.002374468,0.0003403168,0.0010654139,0.0010919683,0.00016103753],"candidate_categories":["metaresearch","sts"],"consensus_categories":[],"category_scores_codex":[0.0036745472,0.00022301514,0.00044421025,0.00026433181,0.0010197117,0.0004967654,0.0022145659,0.0002491011,0.0001048591],"category_scores_gemma":[0.013509767,0.00013263257,0.00020076607,0.0006628925,0.0044482662,0.00034176782,0.0025621073,0.00060405384,0.000005565419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033397648,0.00009532129,0.000028567234,0.00057131186,0.000044267086,2.192269e-8,0.00044141596,0.000009662378,0.000012702167,0.9955437,0.0029756895,0.00027399338],"study_design_scores_gemma":[0.00011078083,0.000055866007,0.00014581828,0.00022506928,0.000034857534,0.0000037254601,0.00025716756,0.0013933706,0.00032875928,0.99565065,0.001644892,0.00014905527],"about_ca_topic_score_codex":0.00013698649,"about_ca_topic_score_gemma":0.000023834515,"teacher_disagreement_score":0.12204204,"about_ca_system_score_codex":0.000081901366,"about_ca_system_score_gemma":0.0008982907,"threshold_uncertainty_score":0.99826103},"labels":[],"label_agreement":null},{"id":"W1968763974","doi":"10.1006/jabr.2000.8593","title":"The Simple Connectedness of a Tame Tilted Algebra","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Cellular algebra; Filtered algebra; Division algebra; Algebra representation; Symmetric algebra; Incidence algebra; Algebraically closed field; Central simple algebra; Algebra over a field; Associative algebra; Universal enveloping algebra; Pure mathematics; Surjective function; Morphism; Quiver","score_opus":0.027585495042209206,"score_gpt":0.2959596726573032,"score_spread":0.268374177615094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968763974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99576473,0.00052999787,0.0009985898,0.0006468843,0.0010497948,0.00014301937,0.0000022324348,0.000020913709,0.00084383244],"genre_scores_gemma":[0.9985484,0.00015275301,0.0005107498,0.00009580654,0.00046486824,0.0000023687294,6.2925693e-7,0.000032406988,0.00019205571],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978828,0.0001238678,0.00095510576,0.00012258503,0.00060328725,0.00031236262],"domain_scores_gemma":[0.9968442,0.0010159217,0.0010586228,0.0004008376,0.0005446851,0.00013574329],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063194346,0.00019322649,0.00050622463,0.00009918232,0.0001646234,0.00005909278,0.0006199841,0.00012359327,0.00023548526],"category_scores_gemma":[0.00091607677,0.00011833503,0.00029379126,0.00034191404,0.00013027554,0.00016847982,0.000085522464,0.0003446353,0.0000045378083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037843361,0.00015750786,0.00081966724,0.000040185547,0.00034843478,0.000061546154,0.0008211237,0.000015538742,0.0009774631,0.9828586,0.00944504,0.0040764846],"study_design_scores_gemma":[0.0011532952,0.0003025078,0.0009976978,0.00005755399,0.000105266234,0.00029913703,0.0004754952,0.000080790065,0.0020516752,0.98782134,0.006508593,0.00014666574],"about_ca_topic_score_codex":0.000013803817,"about_ca_topic_score_gemma":0.000009677763,"teacher_disagreement_score":0.0049627475,"about_ca_system_score_codex":0.00005102031,"about_ca_system_score_gemma":0.00015248936,"threshold_uncertainty_score":0.48255625},"labels":[],"label_agreement":null},{"id":"W1969013143","doi":"10.1090/s1088-4165-2014-00454-0","title":"Two-sided BGG resolutions of admissible representations","year":2014,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Japan Society for the Promotion of Science; University of Birmingham; University of Edinburgh; York University; University of Manchester; Academia Sinica","keywords":"Mathematics; Integrable system; Affine transformation; Conjecture; Pure mathematics; Algebra over a field","score_opus":0.03750346372400424,"score_gpt":0.34475801846050014,"score_spread":0.3072545547364959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969013143","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8380563,0.000029195011,0.14172992,0.0009419805,0.00020742178,0.0006429645,0.000014023344,0.00010297596,0.018275186],"genre_scores_gemma":[0.9696509,0.000008840874,0.029324507,0.00011364382,0.000082596074,0.0000330619,0.000002384015,0.000029664357,0.000754384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975238,0.0006122364,0.00074628834,0.0002817178,0.00059483445,0.0002411247],"domain_scores_gemma":[0.9937691,0.0038239344,0.00099653,0.0011079684,0.00020561187,0.0000968715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009575551,0.00017906848,0.00056910433,0.000037028607,0.00019752698,0.00001701793,0.0005368899,0.000051294144,0.00021367532],"category_scores_gemma":[0.003921249,0.00012652992,0.00064219115,0.0006608664,0.0010276332,0.00009250136,0.0002240076,0.00018067424,0.000005624489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003776324,0.0001409,0.0003795765,0.000081023434,0.0001355045,5.5610887e-8,0.0014975261,0.00014517002,0.002403288,0.99343157,0.0012010421,0.0005465985],"study_design_scores_gemma":[0.00046099353,0.000052944695,0.0013483143,0.00007520098,0.00015053981,0.0000046370783,0.0026418278,0.001911898,0.010591725,0.9826131,0.000022983555,0.00012582955],"about_ca_topic_score_codex":0.00006526223,"about_ca_topic_score_gemma":0.0000015797241,"teacher_disagreement_score":0.1315946,"about_ca_system_score_codex":0.00003936313,"about_ca_system_score_gemma":0.00006323652,"threshold_uncertainty_score":0.51597404},"labels":[],"label_agreement":null},{"id":"W1969145197","doi":"10.1007/s00029-013-0144-4","title":"Cyclic sieving, rotation, and geometric representation theory","year":2013,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Affine transformation; Invariant (physics); Rotation (mathematics); Pure mathematics; Geometry; Mathematical physics","score_opus":0.023377648402540318,"score_gpt":0.28631503024624616,"score_spread":0.26293738184370585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969145197","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.975054,0.00018813931,0.014658474,0.00022952155,0.00014006106,0.0007633882,7.921318e-7,0.00017795322,0.008787674],"genre_scores_gemma":[0.9903202,0.000023324423,0.00821911,0.00006581929,0.000096088486,0.00012715906,0.0000027156566,0.00003911033,0.001106469],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865705,0.00010645336,0.00037856665,0.00028582083,0.00029604704,0.0002760748],"domain_scores_gemma":[0.9981191,0.0010789963,0.00018110254,0.00037797753,0.0001422485,0.00010054072],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00030001465,0.00018627451,0.00028927173,0.00017316872,0.00014041676,0.0001374333,0.00017519106,0.000093894574,0.0013233159],"category_scores_gemma":[0.0016573254,0.00015149364,0.000060358725,0.0005303247,0.000057525514,0.0002646037,0.00007170607,0.00013181269,0.0001085707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000054501566,0.000052020165,0.0003605197,0.00013278608,0.000053013853,6.7375464e-7,0.0010375706,6.3913194e-7,0.00038230518,0.99191934,0.0025168688,0.0035387918],"study_design_scores_gemma":[0.00029111688,0.000046106536,0.0013735319,0.000035748297,0.000048662645,0.000019194262,0.0002723183,0.0003148931,0.001375134,0.9960091,0.000036112015,0.00017807074],"about_ca_topic_score_codex":0.000023341474,"about_ca_topic_score_gemma":0.0000017013352,"teacher_disagreement_score":0.015266208,"about_ca_system_score_codex":0.000030368072,"about_ca_system_score_gemma":0.000022788954,"threshold_uncertainty_score":0.9995896},"labels":[],"label_agreement":null},{"id":"W1969431169","doi":"10.1063/1.3200461","title":"The fusion algebra of an extraspecial p-group","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Modular design; Group (periodic table); Algebra over a field; Modular curve; Modular group; Pure mathematics; Order (exchange); Twist; Finite group; Mathematics; Fusion; Group algebra; Group theory; Physics; Modular form; Computer science; Geometry; Quantum mechanics","score_opus":0.02552496850701994,"score_gpt":0.2986790127285425,"score_spread":0.27315404422152256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969431169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96759987,0.00009477637,0.028720547,0.00034454398,0.00045979526,0.00016815857,0.0000011993017,0.00001754405,0.0025935657],"genre_scores_gemma":[0.9896808,0.000018361186,0.009037024,0.00004835769,0.0011647638,7.1427405e-7,2.6317878e-7,0.000016688087,0.00003297566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981277,0.00008434282,0.00080067856,0.0000912526,0.0006927188,0.00020332253],"domain_scores_gemma":[0.99799263,0.0006473129,0.00069787266,0.0003321026,0.0002129407,0.00011715736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061699294,0.0001560576,0.00044799453,0.000025058356,0.00012087595,0.000046795427,0.00045825032,0.000084521926,0.000044311793],"category_scores_gemma":[0.00034379456,0.000089069814,0.00026359456,0.00012948213,0.000093041315,0.00020924816,0.000035263372,0.000293826,0.0000030192518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000082593986,0.00040819583,0.0000012332503,0.000026702073,0.00003151413,0.0000051320326,0.00037671722,0.0000047504027,0.0011248552,0.97890407,0.00044013446,0.018594086],"study_design_scores_gemma":[0.00049707043,0.00060021365,0.00010540193,0.0000789137,0.00007003136,0.00004047157,0.00014342593,0.00030841507,0.0018624078,0.99608725,0.000108407134,0.00009796401],"about_ca_topic_score_codex":2.8999497e-7,"about_ca_topic_score_gemma":2.6004273e-7,"teacher_disagreement_score":0.022080982,"about_ca_system_score_codex":0.000029644012,"about_ca_system_score_gemma":0.000045275447,"threshold_uncertainty_score":0.36321616},"labels":[],"label_agreement":null},{"id":"W1969598027","doi":"10.1007/s00220-008-0528-z","title":"Braided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras","year":2008,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Hopf algebra; Quantum group; Representation theory of Hopf algebras; Mathematics; Quasitriangular Hopf algebra; Pure mathematics; Complex system; Algebra over a field; Algebra representation; Division algebra; Computer science","score_opus":0.09468326719079721,"score_gpt":0.3338927539087234,"score_spread":0.2392094867179262,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969598027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9465906,0.0006376176,0.03609564,0.0013994519,0.00028305434,0.0011196436,0.00003717408,0.00044543063,0.0133914],"genre_scores_gemma":[0.9290424,0.00014796098,0.069777966,0.0002735856,0.00022337884,0.0001293459,0.000070913295,0.00009690961,0.00023756265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969939,0.00038918204,0.0010265168,0.00046994886,0.0005942665,0.00052618707],"domain_scores_gemma":[0.99205405,0.003105471,0.00032929456,0.0041358285,0.00018445149,0.00019091905],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00039624042,0.0004479607,0.00087727327,0.00010711156,0.0006142439,0.00006793447,0.0021861135,0.00027896182,0.00026005015],"category_scores_gemma":[0.0012718323,0.00042876642,0.00029489773,0.00071874994,0.0005810593,0.0002939729,0.0008632981,0.0007556995,0.00022984622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001930967,0.0007221901,0.0002847639,0.000046592668,0.00009270638,0.000008749768,0.0028147942,0.00000893962,0.00013805849,0.99384636,0.0012902324,0.00072729064],"study_design_scores_gemma":[0.0012148968,0.000037539343,0.000400795,0.00013354016,0.000079610814,0.000012170995,0.00030220157,0.004757187,0.00042308163,0.9917858,0.0003918227,0.00046133],"about_ca_topic_score_codex":0.00007734402,"about_ca_topic_score_gemma":0.000020802067,"teacher_disagreement_score":0.033682328,"about_ca_system_score_codex":0.00017174889,"about_ca_system_score_gemma":0.00015175625,"threshold_uncertainty_score":0.9998164},"labels":[],"label_agreement":null},{"id":"W1969620968","doi":"10.1007/s00229-008-0180-0","title":"Reduction of structure for torsors over semilocal rings","year":2008,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Alberta","funders":"","keywords":"Mathematics; Surjective function; Ring (chemistry); Reduction (mathematics); Pure mathematics; Group (periodic table); Reductive group; Noetherian ring; Affine transformation; Prime (order theory); Algebraic geometry; Number theory; Scheme (mathematics); Combinatorics; Discrete mathematics; Group theory; Finitely-generated abelian group; Chemistry; Geometry","score_opus":0.05767049744331618,"score_gpt":0.28780705027467324,"score_spread":0.23013655283135706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969620968","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98965997,0.000053169242,0.007101559,0.00009229532,0.0010653755,0.0006364868,0.00002269777,0.00010359727,0.0012648337],"genre_scores_gemma":[0.9748242,0.0000065654885,0.023056962,0.000027859656,0.00027603653,0.000042183292,0.000005246722,0.00005450644,0.0017064293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984539,0.000027841576,0.0005471758,0.00029389278,0.00037578732,0.00030136376],"domain_scores_gemma":[0.9988616,0.00013552766,0.0002745264,0.00052273204,0.00012174047,0.00008385134],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014734824,0.00024754758,0.00050208083,0.00008947106,0.0001510998,0.00001554357,0.00028295995,0.00017372501,0.00029351938],"category_scores_gemma":[0.0002703115,0.00020718797,0.00020756347,0.00014135109,0.00013604912,0.00013737612,0.00007299635,0.00013807333,0.0000032119367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000070732116,0.000108889326,0.000039560924,0.00060696714,0.0000891497,0.000002265023,0.0024397639,0.000004588634,0.003996429,0.9704517,0.022015428,0.00017448986],"study_design_scores_gemma":[0.00066181057,0.00011355875,0.00011348876,0.00007038244,0.000077011435,0.00008744794,0.00019620947,0.0004227567,0.017061865,0.9801296,0.0008402773,0.00022558219],"about_ca_topic_score_codex":0.000013629532,"about_ca_topic_score_gemma":0.0000010276913,"teacher_disagreement_score":0.021175152,"about_ca_system_score_codex":0.00005347067,"about_ca_system_score_gemma":0.000038820446,"threshold_uncertainty_score":0.84488803},"labels":[],"label_agreement":null},{"id":"W1970015403","doi":"10.1016/s0001-8708(02)00045-2","title":"Lie idempotent algebras","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Subalgebra; Pure mathematics; Epimorphism; Cartan subalgebra; Idempotence; Lie algebra; Convolution (computer science); Bialgebra; Product (mathematics); Hopf algebra; Combinatorics; Algebra over a field; Lie conformal algebra; Adjoint representation of a Lie algebra","score_opus":0.02388101449767907,"score_gpt":0.31141957835819006,"score_spread":0.287538563860511,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970015403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7904737,0.0063321693,0.04905116,0.00017451338,0.0027935305,0.0011935823,0.0000046454584,0.0003697653,0.1496069],"genre_scores_gemma":[0.8953389,0.00039651105,0.1034189,0.000088332155,0.00007512591,0.000052265143,9.248987e-7,0.000054921908,0.0005741129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984365,0.00006143512,0.00053976325,0.00025737294,0.0003401484,0.000364746],"domain_scores_gemma":[0.998649,0.00054819224,0.00018773162,0.0004923111,0.00004652261,0.000076269724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040098975,0.0002333039,0.0003903298,0.00008315588,0.00006812995,0.000028229846,0.00026785524,0.00010727158,0.00025045022],"category_scores_gemma":[0.0010040425,0.00019732722,0.000093039984,0.00025727082,0.00006423605,0.0002504791,0.00004575889,0.00020696157,0.000044229233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027698932,0.00012584546,0.00015842888,0.00013461868,0.000009756706,0.0000079227375,0.0005638096,0.00004675691,0.000013546919,0.998172,0.00010779255,0.00065677875],"study_design_scores_gemma":[0.00043676086,0.000029411513,0.000023934688,0.00008569463,0.000016426398,0.00001936676,0.00044195872,0.000144184,0.00059117604,0.99251705,0.0054575643,0.00023648469],"about_ca_topic_score_codex":0.00000121186,"about_ca_topic_score_gemma":0.000008197785,"teacher_disagreement_score":0.14903279,"about_ca_system_score_codex":0.000067905545,"about_ca_system_score_gemma":0.000035814923,"threshold_uncertainty_score":0.804677},"labels":[],"label_agreement":null},{"id":"W1970061713","doi":"10.1016/j.jalgebra.2005.12.002","title":"Cluster categories and duplicated algebras","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke","funders":"","keywords":"Bijection; Mathematics; Indecomposable module; Injective function; Construct (python library); Pure mathematics; Biproduct; Cluster (spacecraft); Algebra over a field; Combinatorics; Concrete category; Functor; Computer science","score_opus":0.013244221510209183,"score_gpt":0.2558379666633821,"score_spread":0.24259374515317292,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970061713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99598503,0.00058619294,0.0010536694,0.0008808843,0.0005413837,0.0000930247,9.4179376e-7,0.000025210249,0.00083365676],"genre_scores_gemma":[0.99670106,0.000024590132,0.0021598914,0.00013379502,0.00065939815,0.0000016448533,5.786739e-7,0.000026222491,0.0002927999],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987391,0.000045428253,0.000572254,0.00012450597,0.0003109179,0.00020779784],"domain_scores_gemma":[0.99886656,0.00022687319,0.00043900678,0.00017659,0.00019915929,0.0000918247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026926573,0.00016573712,0.00035433713,0.000106209576,0.0000868568,0.000077367185,0.00018943357,0.00011325045,0.000075192154],"category_scores_gemma":[0.00012262142,0.00012254,0.00011412797,0.00013476486,0.00008250694,0.00020914421,0.00006173319,0.00023330115,0.0000038082376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000737412,0.00006403459,0.0011037398,0.00003331264,0.00006997422,0.000021281952,0.0002016463,0.0000074136487,0.00034261518,0.98424846,0.013224566,0.0006091851],"study_design_scores_gemma":[0.0008911967,0.00012417475,0.0030234708,0.000023900822,0.00007413204,0.0002861161,0.00006810197,0.00003252237,0.0013905418,0.99212736,0.001815473,0.0001430186],"about_ca_topic_score_codex":0.000026483971,"about_ca_topic_score_gemma":0.0000067329643,"teacher_disagreement_score":0.011409094,"about_ca_system_score_codex":0.00003451384,"about_ca_system_score_gemma":0.00005365617,"threshold_uncertainty_score":0.49970365},"labels":[],"label_agreement":null},{"id":"W1970313815","doi":"10.1112/blms/bdm107","title":"Cluster-tilted algebras as trivial extensions","year":2008,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":135,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cluster (spacecraft); Pure mathematics; Algebra over a field; Computer science","score_opus":0.02821194139903781,"score_gpt":0.26661113182810214,"score_spread":0.23839919042906432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970313815","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.982923,0.00009909496,0.0030142774,0.0057750023,0.0005169028,0.0007983809,0.0000065924314,0.00015264383,0.0067141117],"genre_scores_gemma":[0.966172,0.0000402774,0.025897523,0.0012360878,0.00026658032,0.000040038944,0.0000014449578,0.00006924647,0.0062768483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976609,0.00015212699,0.00068554975,0.00031809672,0.0007779745,0.00040536374],"domain_scores_gemma":[0.99720836,0.0012962712,0.0003217093,0.0008832802,0.00015011244,0.00014027141],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042287985,0.00029618407,0.00060813315,0.00001638929,0.00040389158,0.000018413772,0.00069943006,0.00026609088,0.002358115],"category_scores_gemma":[0.001493984,0.00018749492,0.0009243919,0.0001978629,0.00047300948,0.00002110979,0.00045290522,0.00038956193,0.00016560387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055680182,0.00038576042,0.000043173466,0.00019144332,0.00014598863,0.0000028768675,0.0015257831,0.000007582897,0.00041422484,0.8378505,0.15927434,0.000102643986],"study_design_scores_gemma":[0.0011990706,0.00006953137,0.00016594533,0.000106732165,0.000106031206,0.000115776114,0.00015216225,0.0002163787,0.001573049,0.98760104,0.008458038,0.00023624515],"about_ca_topic_score_codex":0.00002583678,"about_ca_topic_score_gemma":3.657554e-7,"teacher_disagreement_score":0.1508163,"about_ca_system_score_codex":0.0000531878,"about_ca_system_score_gemma":0.00007436347,"threshold_uncertainty_score":0.9985539},"labels":[],"label_agreement":null},{"id":"W1970564173","doi":"10.1016/j.jalgebra.2006.09.010","title":"Representations of toroidal extended affine Lie algebras","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"University of Sydney","keywords":"Mathematics; Affine representation; Pure mathematics; Tensor product; Affine transformation; Affine Lie algebra; Quantum affine algebra; Lie algebra; Lie conformal algebra; Algebra over a field; Current algebra; Algebra representation; Cellular algebra","score_opus":0.01787208495278515,"score_gpt":0.2924874880687326,"score_spread":0.27461540311594745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970564173","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9923266,0.00041786037,0.0017555682,0.00041134752,0.0009155323,0.00011803462,0.0000038987173,0.000021487935,0.0040296735],"genre_scores_gemma":[0.9913677,0.00001993076,0.0070146937,0.000033830343,0.0009615365,0.0000019046036,0.0000015923746,0.00002761492,0.00057121716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980177,0.00006815876,0.0009978033,0.00013502108,0.0005693407,0.00021195284],"domain_scores_gemma":[0.9979464,0.00032532777,0.0009403017,0.00031336737,0.00038752466,0.000087116976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003176277,0.00016596947,0.0004687199,0.00016057068,0.00006461022,0.000031665862,0.00033034367,0.000107460146,0.00044133625],"category_scores_gemma":[0.00031361944,0.00013398858,0.00030194275,0.00022462595,0.00007383547,0.00022873211,0.000059618425,0.00023289472,0.0000036540491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009250174,0.00025779905,0.0005061541,0.00003580868,0.00011261327,0.000027716014,0.00020153375,0.000034893794,0.003690125,0.98234814,0.011865062,0.0008276403],"study_design_scores_gemma":[0.0010874169,0.00021909064,0.005918061,0.000047926394,0.00011082182,0.0001255251,0.00013544419,0.000018731875,0.011112524,0.9805908,0.0005024278,0.00013121418],"about_ca_topic_score_codex":0.00004396472,"about_ca_topic_score_gemma":0.000011561417,"teacher_disagreement_score":0.011362634,"about_ca_system_score_codex":0.000053438318,"about_ca_system_score_gemma":0.00012026412,"threshold_uncertainty_score":0.5463896},"labels":[],"label_agreement":null},{"id":"W1971763682","doi":"10.1016/j.jpaa.2014.04.003","title":"Brauer-friendly modules and slash functors","year":2014,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Functor; Indecomposable module; Pure mathematics; Equivalence (formal languages); Adjoint functors; Discrete mathematics","score_opus":0.011499613254897342,"score_gpt":0.2365802458045749,"score_spread":0.22508063254967756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971763682","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99416476,0.000287209,0.002814396,0.00025563544,0.00035877168,0.0000818384,0.0000010604825,0.000016214934,0.0020200836],"genre_scores_gemma":[0.9964909,0.000048394195,0.0025334477,0.00017356712,0.000658925,0.0000018651734,3.7512729e-7,0.000021730206,0.000070793576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899316,0.000027295488,0.000371969,0.00014882501,0.00026743254,0.0001913258],"domain_scores_gemma":[0.9991115,0.00021359534,0.00030480814,0.00014584897,0.00006062851,0.00016363317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003181447,0.0001747332,0.00038579252,0.00007553194,0.00010110202,0.000073496456,0.0001368629,0.00011445449,0.000035566543],"category_scores_gemma":[0.00008022904,0.0001246054,0.00007143429,0.00007198484,0.00006468601,0.00010036196,0.00006852871,0.00024316528,0.0000016239592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046292404,0.000026448202,0.0001711005,0.000054169126,0.00005827906,0.0000022353329,0.00029026903,0.0000022638103,0.00046985265,0.986464,0.0026310347,0.009784023],"study_design_scores_gemma":[0.000896633,0.00016805813,0.0012377757,0.00003536804,0.00007937813,0.00007024216,0.00020568052,0.000027980015,0.00092272426,0.9930735,0.003128332,0.00015432644],"about_ca_topic_score_codex":0.0000010025459,"about_ca_topic_score_gemma":0.000001892557,"teacher_disagreement_score":0.009629697,"about_ca_system_score_codex":0.000010428638,"about_ca_system_score_gemma":0.000017558554,"threshold_uncertainty_score":0.5081261},"labels":[],"label_agreement":null},{"id":"W1971788928","doi":"10.4153/cmb-2013-017-5","title":"On Braided and Ribbon Unitary Fusion Categories","year":2013,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Unitary state; Ribbon; Fusion; Pure mathematics; Computer science; Mathematics; Geometry; Political science; Linguistics; Philosophy; Law","score_opus":0.024595146365087202,"score_gpt":0.2500391469299083,"score_spread":0.2254440005648211,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971788928","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9619204,0.00025706657,0.00039477766,0.007908766,0.000928216,0.0013577023,0.000060738737,0.00017061063,0.027001746],"genre_scores_gemma":[0.9924447,0.00003019333,0.0024912925,0.0011219898,0.00030486484,0.00015500825,0.00004252972,0.00012131646,0.003288087],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997616,0.00012736038,0.0005723593,0.0006380672,0.00040616887,0.0006400761],"domain_scores_gemma":[0.99693364,0.00093980687,0.00018726136,0.0009031554,0.00013245326,0.0009036703],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00030532316,0.00057698064,0.00079315715,0.00023412627,0.0002260522,0.00022278637,0.00046459475,0.00074765674,0.012453834],"category_scores_gemma":[0.001273916,0.00049469876,0.00015196396,0.00008149668,0.00020050177,0.000022833317,0.0004036683,0.0010017352,0.0017361253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009246184,0.000028947154,0.0000032857417,0.0004534258,0.00005026138,0.000030129122,0.00047881424,0.0000058522805,0.0000020138555,0.95136553,0.047204584,0.00036790263],"study_design_scores_gemma":[0.00027611107,0.00006572499,0.000028856977,0.00043238944,0.0000770647,0.000020612291,0.0001324834,0.00022585236,0.000026016713,0.9929658,0.005225207,0.00052386953],"about_ca_topic_score_codex":0.0046583214,"about_ca_topic_score_gemma":0.0007610669,"teacher_disagreement_score":0.041979376,"about_ca_system_score_codex":0.0002539322,"about_ca_system_score_gemma":0.0003428974,"threshold_uncertainty_score":0.9997505},"labels":[],"label_agreement":null},{"id":"W1971922971","doi":"10.1007/s00208-012-0886-x","title":"Essential $$p$$ -dimension of split simple groups of type $$A_n$$","year":2012,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Simple (philosophy); Dimension (graph theory); Type (biology); Exponent; Functor; Degree (music); Combinatorics; Simple group; Pure mathematics","score_opus":0.04145418732370845,"score_gpt":0.31333571691781903,"score_spread":0.2718815295941106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971922971","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9956543,0.00040656823,0.0009640855,0.000031316464,0.000347688,0.00021365649,0.000007989304,0.000038573955,0.0023358518],"genre_scores_gemma":[0.9925083,0.000014199617,0.0069697397,0.000016659673,0.00019095202,0.0000059457043,0.0000063427274,0.000034975146,0.00025288024],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859643,0.000056211615,0.00052083493,0.00014765227,0.0003790224,0.00029984803],"domain_scores_gemma":[0.9986617,0.0002187458,0.0003729167,0.0004889522,0.00016609552,0.00009161553],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039789535,0.00018060379,0.00047274726,0.00007088274,0.0000428448,0.000007271999,0.00023054589,0.0001291519,0.0006070058],"category_scores_gemma":[0.00023225369,0.00014752142,0.00014236677,0.00019755778,0.000070167895,0.00016700459,0.00015008006,0.00011217077,0.000027565911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004822386,0.00024692898,0.0006862589,0.00048883824,0.00010132657,7.1358835e-7,0.0016416272,0.0000019779734,0.0061411452,0.986368,0.00386791,0.00040704527],"study_design_scores_gemma":[0.00042857602,0.000117847725,0.00073667074,0.00010126151,0.00012263165,0.000013400792,0.00019223861,0.0001313773,0.046311934,0.9510792,0.00055882084,0.00020605177],"about_ca_topic_score_codex":0.000018593042,"about_ca_topic_score_gemma":0.0000010383509,"teacher_disagreement_score":0.04017079,"about_ca_system_score_codex":0.00001100048,"about_ca_system_score_gemma":0.000026744148,"threshold_uncertainty_score":0.6646288},"labels":[],"label_agreement":null},{"id":"W1971950364","doi":"10.4171/jems/435","title":"Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2","year":2014,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Natural Sciences and Engineering Research Council of Canada; Mathematisches Forschungsinstitut Oberwolfach","keywords":"Mathematics; Pure mathematics; Modulo; Affine transformation; Non-associative algebra; Lie conformal algebra; Lie algebra; Affine Lie algebra; Iterated function; Generalized Kac–Moody algebra; Class (philosophy); Automorphism; Conjugacy class; Discrete mathematics; Algebra over a field; Current algebra; Computer science; Mathematical analysis","score_opus":0.029108986667780508,"score_gpt":0.2813322093533467,"score_spread":0.2522232226855662,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971950364","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98254216,0.0006922223,0.011023477,0.00082833605,0.0015148256,0.00075941655,0.000029690123,0.000079348094,0.00253051],"genre_scores_gemma":[0.9726124,0.00017680664,0.024803864,0.0002903357,0.0012572171,0.0000050579215,0.0000042069482,0.00019286266,0.00065728684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99366254,0.0013516714,0.0025873706,0.0005509058,0.0013067183,0.00054082734],"domain_scores_gemma":[0.9928483,0.0012539299,0.0034156493,0.0014108338,0.00071631855,0.00035501493],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0041505937,0.0007999349,0.001940125,0.00007395458,0.00022929777,0.0002120883,0.0018501605,0.00047914742,0.00026389156],"category_scores_gemma":[0.0023666464,0.00050073926,0.0017585793,0.00024167653,0.00057070854,0.00013553054,0.0022886123,0.0022459133,0.000013598487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00052494096,0.0034731326,0.00037833152,0.011725024,0.0058676177,0.00008349532,0.012886896,0.00023627451,0.0038370222,0.9059025,0.04547698,0.009607794],"study_design_scores_gemma":[0.0015502683,0.00016539927,0.001435663,0.001612792,0.0008412235,0.00014468691,0.00019075494,0.0016287722,0.001064318,0.99059427,0.0002496688,0.00052215724],"about_ca_topic_score_codex":0.0000037586237,"about_ca_topic_score_gemma":5.504499e-7,"teacher_disagreement_score":0.08469181,"about_ca_system_score_codex":0.00014180616,"about_ca_system_score_gemma":0.00018098963,"threshold_uncertainty_score":0.9997444},"labels":[],"label_agreement":null},{"id":"W1972035331","doi":"10.1088/1742-5468/2011/04/p04007","title":"The Jordan structure of two-dimensional loop models","year":2011,"lang":"en","type":"article","venue":"Journal of Statistical Mechanics Theory and Experiment","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Eigenvalues and eigenvectors; Basis (linear algebra); Lattice (music); Partition (number theory); Transfer matrix; Braid; Matrix (chemical analysis); Boundary (topology); Boundary value problem","score_opus":0.03245758154841562,"score_gpt":0.29699804792263174,"score_spread":0.26454046637421613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972035331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7348066,0.001170129,0.26239842,0.00003359012,0.0011490679,0.00017693389,0.000026221218,0.000007973787,0.00023104942],"genre_scores_gemma":[0.9769671,0.00002601113,0.022857022,0.00003778816,0.00007825097,0.0000013126282,3.7570217e-7,0.000015444335,0.000016719669],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854827,0.00021206227,0.0005691233,0.00011130806,0.0003764707,0.00018277268],"domain_scores_gemma":[0.9981942,0.00094564783,0.0003699571,0.00017679186,0.00017711894,0.00013625815],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006913634,0.00015029022,0.00031931285,0.000034894565,0.00013582406,0.000017974511,0.00020675804,0.000064761036,0.00018202822],"category_scores_gemma":[0.00021958973,0.00008634367,0.00007309343,0.000042883858,0.00009634973,0.00008216803,0.00009000585,0.00022232076,2.7704348e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006807554,0.00007214344,3.6071316e-7,0.0000147934,0.00011163803,0.0000103367975,0.0011138794,0.000020763384,0.0038686204,0.99311936,0.00008143327,0.00090589037],"study_design_scores_gemma":[0.00062830636,0.0004464276,0.0000013848464,0.000035323537,0.00007378148,0.000071396644,0.0005020124,0.0009958001,0.03420233,0.9629413,0.000007610254,0.000094319716],"about_ca_topic_score_codex":0.0000033630688,"about_ca_topic_score_gemma":5.862279e-7,"teacher_disagreement_score":0.24216047,"about_ca_system_score_codex":0.000024086456,"about_ca_system_score_gemma":0.000053590495,"threshold_uncertainty_score":0.35209927},"labels":[],"label_agreement":null},{"id":"W1972133399","doi":"10.1016/j.jalgebra.2008.09.008","title":"Corrigendum to “Duals of pointed Hopf algebras” [J. Algebra 262 (2003) 54–76]","year":2008,"lang":"en","type":"erratum","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Dual polyhedron; Mathematics; Hopf algebra; Combinatorics; Corollary; Algebra over a field; Discrete mathematics; Pure mathematics","score_opus":0.03760806296874136,"score_gpt":0.2909462498182565,"score_spread":0.25333818684951515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972133399","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"editorial","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35960048,0.018001478,0.0042954083,0.003014589,0.58207816,0.004054792,0.00041268818,0.00044063828,0.028101765],"genre_scores_gemma":[0.22619711,0.0145988455,0.057373554,0.007407633,0.06849871,0.00017238347,0.0005020776,0.0036409725,0.62160873],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9902745,0.0004015976,0.004182818,0.00084199436,0.0030151224,0.0012839756],"domain_scores_gemma":[0.98819566,0.00035207273,0.0054105343,0.0016511277,0.0033796395,0.0010109895],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.0011461058,0.0014271686,0.0039134305,0.0014149951,0.00029609626,0.00013999152,0.0025140592,0.0017738027,0.0014580719],"category_scores_gemma":[0.0035820254,0.0012188273,0.0014116605,0.0018445101,0.00028634776,0.00043815756,0.00054530485,0.0033677744,0.00009232679],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028774794,0.00032558094,0.000030517964,0.0003725191,0.0010238157,0.0003058028,0.0012836382,0.0000030396095,0.00007051467,0.16208951,0.8334895,0.0007178253],"study_design_scores_gemma":[0.0026823126,0.0022354,0.0004144347,0.0022656792,0.0010778646,0.0016265368,0.00033920736,0.0000304168,0.0015147284,0.6316768,0.35445324,0.0016834142],"about_ca_topic_score_codex":0.00007392647,"about_ca_topic_score_gemma":0.00002313791,"teacher_disagreement_score":0.59350693,"about_ca_system_score_codex":0.00048680865,"about_ca_system_score_gemma":0.0023718588,"threshold_uncertainty_score":0.9998478},"labels":[],"label_agreement":null},{"id":"W1972564557","doi":"10.1016/s0550-3213(01)00208-5","title":"Supersymmetric Calogero–Moser–Sutherland models and Jack superpolynomials","year":2001,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université Laval","funders":"","keywords":"Eigenfunction; Formalism (music); Generalization; Monomial; Trigonometry; Extension (predicate logic)","score_opus":0.06370097031321309,"score_gpt":0.2792495365743241,"score_spread":0.21554856626111102,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972564557","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9890173,0.00012830932,0.000506681,0.00012879544,0.0002681356,0.00019327133,0.000007198859,0.00011717487,0.009633107],"genre_scores_gemma":[0.9980933,0.00010247185,0.000760337,0.0001918018,0.00049411005,0.000004803152,0.000002563436,0.00007626949,0.00027436236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988241,0.00004793368,0.00022538661,0.00031842245,0.0002558094,0.0003283],"domain_scores_gemma":[0.99920905,0.0001615654,0.0000647958,0.0003724969,0.00005897275,0.00013314384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011802338,0.0002243254,0.00034557388,0.000050951137,0.00016250959,0.00008684135,0.00020297493,0.00013645069,0.00011206018],"category_scores_gemma":[0.000044699616,0.00019965472,0.000100140365,0.0002641621,0.000079185964,0.00022953174,0.000109654604,0.00017917501,0.00004061551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004373752,0.00008104556,0.00024049668,0.000023721293,0.000056022873,0.000007356723,0.001118202,0.000031027303,0.00033105758,0.99091655,0.001663298,0.0054874956],"study_design_scores_gemma":[0.00073671597,0.000072717114,0.00011312487,0.000014363317,0.00004578431,0.000016872145,0.00017304934,0.0043368116,0.00009436223,0.99235266,0.001780439,0.00026311388],"about_ca_topic_score_codex":0.000091446316,"about_ca_topic_score_gemma":0.0000033623946,"teacher_disagreement_score":0.009358745,"about_ca_system_score_codex":0.000038016642,"about_ca_system_score_gemma":0.000020387411,"threshold_uncertainty_score":0.81416833},"labels":[],"label_agreement":null},{"id":"W1972645494","doi":"10.1016/j.aim.2012.01.016","title":"Generating basis webs for SLn","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Basis (linear algebra); Surjective function; Invariant (physics); Mathematics; Algebraic number; Space (punctuation); Graph; Tensor product; Combinatorics; Pure mathematics; Algebra over a field; Computer science; Geometry; Mathematical analysis","score_opus":0.04681661490974779,"score_gpt":0.3487820320465564,"score_spread":0.3019654171368086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972645494","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3702486,0.020922218,0.57373047,0.00028307323,0.014788472,0.006043932,0.00018110775,0.00060887286,0.013193274],"genre_scores_gemma":[0.27251834,0.00065978424,0.723636,0.00007513501,0.0015486709,0.0008551852,0.000031197378,0.00018241961,0.00049326406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974513,0.000053179097,0.0009770262,0.00046776948,0.00039035696,0.000660342],"domain_scores_gemma":[0.99691755,0.0012637534,0.0006947872,0.00090078206,0.00012657873,0.00009654749],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007472499,0.00051033444,0.00093548856,0.00012390593,0.000121625264,0.00007770748,0.0006244456,0.0004522764,0.000093120616],"category_scores_gemma":[0.0009599119,0.00046017813,0.00027917261,0.00011679394,0.00006122528,0.00021274731,0.000598787,0.0005632311,0.0000075262296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011210877,0.00019535208,0.00009096076,0.0040394007,0.000058415284,0.0000016553549,0.0021739558,0.0018630757,0.000017748289,0.9862753,0.00028453622,0.0049883467],"study_design_scores_gemma":[0.00041435182,0.000019092715,0.000003508674,0.0005443891,0.00010915339,0.0000045001075,0.00030916193,0.012605094,0.00026841287,0.98366916,0.0015522065,0.00050097203],"about_ca_topic_score_codex":0.00000273914,"about_ca_topic_score_gemma":0.00001789925,"teacher_disagreement_score":0.14990552,"about_ca_system_score_codex":0.00015471037,"about_ca_system_score_gemma":0.00008200229,"threshold_uncertainty_score":0.999785},"labels":[],"label_agreement":null},{"id":"W1973095558","doi":"10.1063/1.4866316","title":"The finite and large-<i>N</i> behaviors of independent-value matrix models","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Matrix (chemical analysis); Scaling; Coupling constant; Limit (mathematics); TRACE (psycholinguistics); Scaling limit; Invariant (physics); Limiting","score_opus":0.02016775587591505,"score_gpt":0.29443935717959113,"score_spread":0.27427160130367606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973095558","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6625383,0.00018768637,0.3352338,0.00021260571,0.00037401842,0.00020090677,0.0000050327294,0.000015739985,0.0012319207],"genre_scores_gemma":[0.993313,0.00003413228,0.006268599,0.000029348152,0.00025423671,0.0000022379459,1.8789011e-7,0.00002788623,0.00007037512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810827,0.000114406634,0.0007818783,0.00010205194,0.00066121545,0.00023218643],"domain_scores_gemma":[0.99685556,0.0017795088,0.0007218951,0.00030887258,0.00021882287,0.00011536743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010779818,0.00017031506,0.00051085453,0.00002967092,0.000121416146,0.000051068455,0.00034175706,0.000098875375,0.0000105082445],"category_scores_gemma":[0.00051783095,0.00010177146,0.00020954883,0.00009631978,0.000115168914,0.0001778879,0.00012098206,0.0003410162,0.0000019666475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030802392,0.00015513864,0.000019279172,0.00010579685,0.000055120086,0.0000014634588,0.00046436922,0.00014343834,0.00008397286,0.99791497,0.00016817728,0.0008574652],"study_design_scores_gemma":[0.0006912884,0.00014913187,0.000013647343,0.0001088128,0.00015509287,0.00002869404,0.00015554363,0.011735343,0.0005453213,0.9862194,0.000092280556,0.00010545575],"about_ca_topic_score_codex":9.2851417e-7,"about_ca_topic_score_gemma":2.9133392e-7,"teacher_disagreement_score":0.3307747,"about_ca_system_score_codex":0.000019481891,"about_ca_system_score_gemma":0.000041574778,"threshold_uncertainty_score":0.41501194},"labels":[],"label_agreement":null},{"id":"W1973434005","doi":"10.1139/p08-059","title":"A first course in the Yang–Baxter equation","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Bethe ansatz; Physics; Eigenvalues and eigenvectors; Lattice (music); Algebraic number; Statistical mechanics; Separation of variables; Trigonometry; Quantum mechanics; Mathematical physics; Theoretical physics; Quantum; Mathematical analysis; Mathematics; Partial differential equation","score_opus":0.059908499782891665,"score_gpt":0.2643270824235633,"score_spread":0.20441858264067161,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973434005","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99625885,0.00013217071,0.0014386651,0.0009763177,0.000532029,0.00008572828,0.000002463549,0.0000021569826,0.0005716043],"genre_scores_gemma":[0.998979,0.000005433542,0.00022289601,0.00022250153,0.0005299394,0.0000012932002,4.0377185e-7,0.000009113675,0.000029449804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939436,0.000036963145,0.00019671493,0.000046837136,0.00017166787,0.00015344581],"domain_scores_gemma":[0.9994094,0.000120297314,0.00013814273,0.00013532136,0.00008761796,0.00010925124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016736294,0.00007002809,0.00012760554,0.000036061938,0.00011678952,0.000020723877,0.00022201258,0.000038219492,0.00003185857],"category_scores_gemma":[0.00007931737,0.000048951955,0.00007269547,0.00013379818,0.00004926761,0.00010212774,0.0000036142828,0.00019031667,0.0000035737003],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000789589,0.000038330036,0.0032194376,0.000014349613,0.000031003157,0.00020835642,0.011266541,0.00032290525,0.000004997262,0.97235036,0.011787622,0.0007482158],"study_design_scores_gemma":[0.00036034719,0.00005320707,0.004680353,0.00003579419,0.000021854483,0.00010890067,0.00026916194,0.00015918328,0.000029123134,0.9926414,0.0015648822,0.00007577515],"about_ca_topic_score_codex":0.00080984295,"about_ca_topic_score_gemma":0.004559869,"teacher_disagreement_score":0.020291071,"about_ca_system_score_codex":0.00007232197,"about_ca_system_score_gemma":0.00050674315,"threshold_uncertainty_score":0.2544514},"labels":[],"label_agreement":null},{"id":"W1973522571","doi":"10.1007/s00220-012-1452-9","title":"A van Est Isomorphism for Bicrossed Product Hopf Algebras","year":2012,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Hopf algebra; Mathematics; Isomorphism (crystallography); Representation theory of Hopf algebras; Pure mathematics; Quasitriangular Hopf algebra; Lie algebra; Quantum group; Algebra over a field; Universal enveloping algebra; Cohomology; Product (mathematics); Cellular algebra; Algebra representation","score_opus":0.11731232334423326,"score_gpt":0.37696714733202386,"score_spread":0.2596548239877906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973522571","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60906905,0.0026924044,0.33211175,0.0058889617,0.001532102,0.008220767,0.00009867815,0.00094368827,0.03944261],"genre_scores_gemma":[0.8988845,0.00002665399,0.0999205,0.00010497696,0.0003028592,0.00046639217,0.000023231765,0.000065507855,0.0002054048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830276,0.000120038036,0.0005925197,0.00023245202,0.0002429142,0.0005092925],"domain_scores_gemma":[0.99518627,0.0016832862,0.00020600716,0.002659005,0.00013759942,0.0001278059],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006298761,0.00026270666,0.00046980125,0.00005776405,0.00031018708,0.000060379665,0.0011681488,0.00011163549,0.000056457684],"category_scores_gemma":[0.0010062407,0.00023827695,0.0001706594,0.00036148925,0.00028672602,0.00028003647,0.0004374609,0.00034680718,0.00007787671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009601108,0.0009061804,0.00011462096,0.00015919222,0.00003289437,9.0789136e-8,0.0017439622,0.0000031255681,0.00015320559,0.9944843,0.0008178526,0.0015749624],"study_design_scores_gemma":[0.0005857128,0.000026620037,0.00008006611,0.00008475874,0.00006171512,0.000004147472,0.00016904596,0.0015126358,0.00060737756,0.99473876,0.0018504419,0.00027870465],"about_ca_topic_score_codex":0.000004605723,"about_ca_topic_score_gemma":0.0000028543582,"teacher_disagreement_score":0.28981543,"about_ca_system_score_codex":0.000100766825,"about_ca_system_score_gemma":0.000059299495,"threshold_uncertainty_score":0.9716652},"labels":[],"label_agreement":null},{"id":"W1973589383","doi":"10.1007/s00222-009-0212-8","title":"The quantum McKay correspondence for polyhedral singularities","year":2009,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Orbifold; Conjecture; Partition function (quantum field theory); Singularity; Quantum; Zero (linguistics); Gravitational singularity; Product (mathematics); Root of unity","score_opus":0.05785639178855446,"score_gpt":0.3484490350319623,"score_spread":0.29059264324340783,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973589383","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82333106,0.0011246209,0.15670983,0.0075409594,0.0038134085,0.0024537677,0.000018811594,0.0006460978,0.004361455],"genre_scores_gemma":[0.9901442,0.000010752513,0.00601147,0.00017389578,0.00027140012,0.00008356003,0.0000029399146,0.000027344206,0.003274422],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985648,0.000057033638,0.0004746175,0.0002079758,0.0003406218,0.0003549709],"domain_scores_gemma":[0.998059,0.0010459665,0.00021344202,0.0004777838,0.00013507274,0.000068757865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054230023,0.00019377057,0.0002675278,0.00004672647,0.00058550056,0.00018285945,0.0003999228,0.000093640905,0.000052773343],"category_scores_gemma":[0.0009887319,0.00013029412,0.00024007662,0.00012727463,0.00011845479,0.00013344413,0.00003879527,0.000111778296,0.00002037292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044894256,0.00007121187,0.000004169929,0.000060143975,0.000023700128,9.946718e-7,0.00037845055,8.0140103e-7,0.00013424279,0.99527496,0.003137814,0.000868625],"study_design_scores_gemma":[0.00037459005,0.00012890837,0.000070010596,0.000096034164,0.00004853077,0.000018586064,0.00034876645,0.0016452118,0.0005747534,0.9953672,0.0011543751,0.00017302338],"about_ca_topic_score_codex":0.0000022287156,"about_ca_topic_score_gemma":0.000003126799,"teacher_disagreement_score":0.16681316,"about_ca_system_score_codex":0.000035828853,"about_ca_system_score_gemma":0.000043067088,"threshold_uncertainty_score":0.531324},"labels":[],"label_agreement":null},{"id":"W1974185945","doi":"10.1103/physrevlett.114.121602","title":"Supersymmetric Ruijsenaars-Schneider Model","year":2015,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Centre for Research in Astrophysics of Québec; Institut Universitaire en Santé Mentale de Québec; Université Laval","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Supersymmetry; Mathematical physics; Quantum electrodynamics; Theoretical physics","score_opus":0.08998405748732795,"score_gpt":0.35345285783923464,"score_spread":0.2634688003519067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974185945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9641262,0.008475896,0.0073662256,0.014138955,0.0007140855,0.00093112537,0.0000058737387,0.0002770681,0.0039645135],"genre_scores_gemma":[0.9801415,0.00041238486,0.0020445485,0.016816994,0.0004383526,0.000048761252,0.0000032647145,0.00004365482,0.000050529794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985711,0.00006995991,0.00026187993,0.0002807637,0.0005097652,0.00030650623],"domain_scores_gemma":[0.9989887,0.00016938674,0.000089819354,0.00046244572,0.00007402821,0.00021560301],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002201554,0.00021988414,0.00050652033,0.000042619246,0.000040035247,0.000024917143,0.00029651896,0.000016564,0.00001559249],"category_scores_gemma":[0.000468932,0.00016673909,0.0002393517,0.00037298488,0.000047466434,0.00013602537,0.000093833,0.00020787807,0.000097730575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010570525,0.00014631521,0.00003259329,0.00071567314,0.000064783344,0.000008538785,0.00029323885,0.0002856474,0.00038673053,0.8414363,0.15500803,0.0016115216],"study_design_scores_gemma":[0.0004334268,0.000034213135,0.00000824347,0.0003331617,0.00015782837,0.000005536494,0.000011555583,0.011679231,0.00010921359,0.983054,0.003841922,0.0003316948],"about_ca_topic_score_codex":0.000007665597,"about_ca_topic_score_gemma":2.2868988e-7,"teacher_disagreement_score":0.15116611,"about_ca_system_score_codex":0.00007533509,"about_ca_system_score_gemma":0.00004237822,"threshold_uncertainty_score":0.67994225},"labels":[],"label_agreement":null},{"id":"W1974794912","doi":"10.1016/j.jalgebra.2009.08.013","title":"Coverings of laura algebras: The standard case","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Component (thermodynamics); Mathematics; Cohomology; Algebra over a field; Pure mathematics; Galois group; Physics","score_opus":0.02039397350099425,"score_gpt":0.2923718044431224,"score_spread":0.27197783094212813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974794912","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9954322,0.00044317523,0.001390148,0.001278477,0.00059222314,0.00011585138,0.000004183524,0.000012954673,0.000730788],"genre_scores_gemma":[0.99760985,0.000048887556,0.001657803,0.00025343106,0.00036615523,5.0703716e-7,1.4229673e-7,0.000015647829,0.000047582445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99833214,0.00006798173,0.00074929267,0.00009562169,0.0005512098,0.00020376185],"domain_scores_gemma":[0.9981213,0.00032752854,0.00080695725,0.00030697175,0.00033903494,0.000098181794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005996385,0.00016235531,0.00045370343,0.00008400318,0.00009744001,0.000045504457,0.00036952784,0.00008944198,0.00013163614],"category_scores_gemma":[0.00037813952,0.00009671173,0.0002707155,0.00018981578,0.00007039846,0.00019246951,0.000039143128,0.00034111578,0.0000013671453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002537576,0.0000810795,0.00006650911,0.00003207136,0.00015013167,0.00059268635,0.0013298515,0.00001911757,0.00046390374,0.98369086,0.0069964663,0.006323578],"study_design_scores_gemma":[0.0008735201,0.0007122804,0.00017727965,0.00007414607,0.000112473645,0.0037506924,0.00047881293,0.000014612764,0.0034757832,0.9890187,0.0011968185,0.00011487264],"about_ca_topic_score_codex":0.0000065182594,"about_ca_topic_score_gemma":0.0000022730685,"teacher_disagreement_score":0.0062087053,"about_ca_system_score_codex":0.000054022305,"about_ca_system_score_gemma":0.00012727284,"threshold_uncertainty_score":0.394379},"labels":[],"label_agreement":null},{"id":"W1975068388","doi":"10.1007/s00222-010-0258-7","title":"Non-commutative desingularization of determinantal varieties I","year":2010,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Commutative property; Pure mathematics; Variety (cybernetics); Endomorphism; Dimension (graph theory); Resolution (logic); Commutative ring; Endomorphism ring; Matrix (chemical analysis); Algebra over a field","score_opus":0.02493608987714116,"score_gpt":0.30957959174283184,"score_spread":0.28464350186569065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975068388","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95160973,0.000006965995,0.044659592,0.00003652818,0.0005603316,0.00027531007,0.0000026944906,0.000056075543,0.0027927903],"genre_scores_gemma":[0.9715063,0.0000010237244,0.028122697,0.000009749405,0.000070533984,0.000026385094,0.0000041409394,0.000027309554,0.00023186144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989149,0.000030238123,0.0004651522,0.00015222371,0.00027819272,0.00015932466],"domain_scores_gemma":[0.9988687,0.00023284458,0.00032448888,0.00036862036,0.00015574212,0.000049587845],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028031168,0.00015527352,0.0003105239,0.000084134466,0.000110306915,0.000031723222,0.00022409711,0.0001261391,0.000246657],"category_scores_gemma":[0.00035214558,0.00013277943,0.00013706749,0.00015416561,0.00016497125,0.00014202649,0.00007522457,0.00017412692,0.000013384162],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009625681,0.00014283229,0.00022686865,0.0002801601,0.00003597185,0.0000014145918,0.0018101496,7.632107e-7,0.0054983185,0.9917238,0.000053257056,0.00021688288],"study_design_scores_gemma":[0.00030621234,0.000047802925,0.00043569092,0.00008014088,0.0000610788,0.000020421186,0.000255082,0.00089153356,0.027893888,0.96985674,0.000015057576,0.00013636991],"about_ca_topic_score_codex":0.000007956376,"about_ca_topic_score_gemma":0.0000090325675,"teacher_disagreement_score":0.02239557,"about_ca_system_score_codex":0.000010771818,"about_ca_system_score_gemma":0.00003592986,"threshold_uncertainty_score":0.5414588},"labels":[],"label_agreement":null},{"id":"W1975095849","doi":"10.1016/j.jpaa.2014.02.012","title":"On simple modules over conformal Galilei algebras","year":2014,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Simple (philosophy); Functor; Conformal map; Pure mathematics; Dimension (graph theory); Subalgebra; Simple module; Algebra over a field; Central charge; Mathematical analysis","score_opus":0.013724224435529096,"score_gpt":0.25583795706442963,"score_spread":0.24211373262890054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975095849","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9932125,0.00005423357,0.0017302575,0.00014450192,0.00034902987,0.00011369629,0.000002446918,0.00002188364,0.0043714335],"genre_scores_gemma":[0.9979008,0.000017260496,0.00066501537,0.0005927718,0.00074188935,0.0000031344234,0.0000014201165,0.000028715967,0.000049018956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859935,0.00003180378,0.0005136796,0.00015516994,0.00043694882,0.00026304793],"domain_scores_gemma":[0.99876565,0.00033402772,0.00043362903,0.00019964784,0.00008939373,0.00017766682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037345904,0.00022659883,0.00046454306,0.00010056126,0.000118233125,0.00008224932,0.00022663485,0.00014724425,0.00015583252],"category_scores_gemma":[0.00013768375,0.00016260112,0.00013521448,0.0000847992,0.000058188867,0.00012340624,0.000058907022,0.0003453464,0.0000067225387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011161298,0.000049438837,0.00007247608,0.00003601805,0.00006855413,0.0000029937473,0.00023853788,0.000011719401,0.00024704018,0.9899461,0.006589431,0.002626041],"study_design_scores_gemma":[0.0013762647,0.00027818864,0.00054711074,0.000030105499,0.00006577666,0.000037535745,0.00011958228,0.00009450137,0.0019161357,0.99374694,0.0015926979,0.00019516214],"about_ca_topic_score_codex":0.0000023475254,"about_ca_topic_score_gemma":0.0000023527825,"teacher_disagreement_score":0.004996733,"about_ca_system_score_codex":0.000020930249,"about_ca_system_score_gemma":0.000027441456,"threshold_uncertainty_score":0.6630681},"labels":[],"label_agreement":null},{"id":"W1975281331","doi":"10.1016/j.jalgebra.2007.07.027","title":"Tame group actions on central simple algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Simple (philosophy); Algebra over a field; Class (philosophy); Pure mathematics; Algebraic group; Algebraic number; Simple group; Group (periodic table); Computer science; Mathematical analysis","score_opus":0.03910982382569217,"score_gpt":0.3190058378374757,"score_spread":0.27989601401178354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975281331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9873439,0.000074338575,0.00745652,0.00033017626,0.0022309306,0.00011857739,0.0000023390135,0.00003753622,0.0024056465],"genre_scores_gemma":[0.99581593,0.000019140272,0.002128369,0.00033482016,0.0015431335,8.329777e-7,0.0000011899702,0.00003706698,0.0001194911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979888,0.000048681075,0.0007279505,0.00015007035,0.00060845667,0.00047600607],"domain_scores_gemma":[0.99821717,0.0005000776,0.0005664862,0.0002744131,0.00015323651,0.00028860962],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059209875,0.00020720577,0.00037775352,0.00019729914,0.00014377171,0.000055433666,0.0003296881,0.00014968557,0.0003761915],"category_scores_gemma":[0.00034202135,0.00016250442,0.00031406627,0.0002241814,0.000050292234,0.00022429026,0.00004199602,0.0005277933,0.000014539163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020298865,0.00022008036,0.00042176168,0.000016196562,0.00013394988,0.00007330206,0.00035822624,0.000010460435,0.0005737615,0.9860047,0.008770674,0.0032138675],"study_design_scores_gemma":[0.0009816196,0.0005216715,0.006259135,0.00004382548,0.00007841706,0.0001792872,0.00027307915,0.000009902023,0.0025484953,0.9808943,0.008019242,0.00019098194],"about_ca_topic_score_codex":0.000008465096,"about_ca_topic_score_gemma":0.000012530632,"teacher_disagreement_score":0.008472021,"about_ca_system_score_codex":0.00016395909,"about_ca_system_score_gemma":0.00006975955,"threshold_uncertainty_score":0.6626738},"labels":[],"label_agreement":null},{"id":"W1975403010","doi":"10.1007/s11005-006-0062-x","title":"Hopf Modules and Noncommutative Differential Geometry","year":2006,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Noncommutative geometry; Mathematics; Quantum differential calculus; Hopf algebra; Differential calculus; Invertible matrix; Cyclic homology; Differential (mechanical device); Pure mathematics; Differential algebra; Noncommutative algebraic geometry; Connection (principal bundle); Homology (biology); Algebra over a field; Differential geometry; Noncommutative quantum field theory; Geometry; Physics","score_opus":0.014795021375445609,"score_gpt":0.26011520107894764,"score_spread":0.24532017970350203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975403010","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9033234,0.000015460502,0.09493376,0.00038512502,0.00011548927,0.00018291088,0.0000034165193,0.00005359808,0.0009868197],"genre_scores_gemma":[0.98769224,0.0000014370698,0.011681838,0.00020084332,0.0003293326,0.000022319926,0.000003827729,0.00003378772,0.00003437168],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876916,0.00005898913,0.0003407274,0.00024449307,0.00028998923,0.00029663535],"domain_scores_gemma":[0.9989709,0.00058709923,0.00009744781,0.00027931915,0.000018946495,0.000046282476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000094507304,0.00022481121,0.00040194887,0.00005210022,0.00006595325,0.0000566949,0.00017364549,0.00008337274,0.00004256519],"category_scores_gemma":[0.000064736334,0.00018838412,0.0000813153,0.00016476323,0.00016118187,0.000104305596,0.00012198864,0.00026155773,0.000009746927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009800234,0.00016423929,0.00020593405,0.00013028571,0.000018758428,0.000007756933,0.00031202083,0.000026170186,0.0008324323,0.9972413,0.0004960962,0.0005551704],"study_design_scores_gemma":[0.0005656624,0.00001856301,0.0008846581,0.00006213649,0.000026895948,0.0000041029593,0.00004577982,0.0021649685,0.00080035656,0.99520314,0.0000076092733,0.00021614545],"about_ca_topic_score_codex":0.000015415682,"about_ca_topic_score_gemma":0.0000018737217,"teacher_disagreement_score":0.084368825,"about_ca_system_score_codex":0.000043083917,"about_ca_system_score_gemma":0.000005282418,"threshold_uncertainty_score":0.76820815},"labels":[],"label_agreement":null},{"id":"W1975835194","doi":"10.1016/j.jalgebra.2010.09.031","title":"Irreducible modules for extended affine Lie algebras","year":2010,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine transformation; Affine Lie algebra; Pure mathematics; Lie algebra; Representation theory; Algebra over a field; Type (biology); Adjoint representation of a Lie algebra; Affine representation; Representation of a Lie group; Lie conformal algebra; Current algebra","score_opus":0.043180125849616835,"score_gpt":0.32539303847591095,"score_spread":0.2822129126262941,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975835194","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96779066,0.0013112581,0.012845954,0.0014428797,0.014765375,0.00091824896,0.000050294977,0.00008756083,0.00078779424],"genre_scores_gemma":[0.91827977,0.00017318457,0.073976964,0.00015000612,0.006425476,0.000048296915,0.000015088914,0.00017975214,0.00075144786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964671,0.000083265964,0.0015892383,0.00050138345,0.00081709196,0.0005419309],"domain_scores_gemma":[0.9947284,0.00065601914,0.0023266322,0.0010158463,0.0009563773,0.00031671996],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001026188,0.00062447437,0.0014527534,0.0003736988,0.00015270598,0.00023029007,0.0013357406,0.0010109973,0.00037675694],"category_scores_gemma":[0.001318051,0.00050737534,0.0011425084,0.00013200735,0.00011216879,0.00019812612,0.0005517873,0.002221541,0.0000059121794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003638745,0.00040607314,0.000012412338,0.0006351252,0.0007914668,0.00003248851,0.00055119005,0.00007467865,0.0012666996,0.96201575,0.025596341,0.008253898],"study_design_scores_gemma":[0.0014799798,0.00033228062,0.00016506143,0.00034711897,0.00047495426,0.000151453,0.00007566257,0.00019958908,0.0045243623,0.9879679,0.0037692392,0.00051241077],"about_ca_topic_score_codex":0.000009861099,"about_ca_topic_score_gemma":0.000009168008,"teacher_disagreement_score":0.06113101,"about_ca_system_score_codex":0.00013585338,"about_ca_system_score_gemma":0.00057634513,"threshold_uncertainty_score":0.9997378},"labels":[],"label_agreement":null},{"id":"W1976697547","doi":"10.1007/s00229-005-0608-8","title":"Power series rings and projectivity","year":2005,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Noetherian; Ring (chemistry); Pure mathematics; Projective module; Power series; Series (stratigraphy); Noetherian ring; Artinian ring; Local ring; Discrete mathematics; Algebra over a field; Projective test; Finitely-generated abelian group; Mathematical analysis","score_opus":0.030493952355657935,"score_gpt":0.27139466005134383,"score_spread":0.2409007076956859,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976697547","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95700216,0.00012567961,0.0014682075,0.0016624235,0.00036747893,0.00049859716,0.0000032875996,0.00028539222,0.038586758],"genre_scores_gemma":[0.97376287,0.00000799465,0.020539695,0.00013534806,0.00014081309,0.000047160873,4.4659524e-7,0.00004118046,0.005324509],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987675,0.000037355283,0.0003072275,0.00030107732,0.00027560754,0.00031125566],"domain_scores_gemma":[0.9991961,0.00010141425,0.00011119166,0.00044532795,0.00004829537,0.000097639764],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026873444,0.00023656568,0.00034741097,0.00006246573,0.00014805658,0.00010779523,0.00019096781,0.00010108876,0.0003488068],"category_scores_gemma":[0.0002479075,0.00019161098,0.00007165975,0.000095118536,0.00010240837,0.00035750592,0.00017099814,0.0001603831,0.000038998558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016427988,0.000086728876,0.000071828836,0.00013453497,0.000032260403,0.0000030402932,0.001947443,1.0925964e-7,0.00012580147,0.99247205,0.0044349087,0.00067483773],"study_design_scores_gemma":[0.00031075635,0.000070659036,0.00034937134,0.00004649547,0.000030447445,0.000081635415,0.00028258172,0.00010684748,0.0010538098,0.9880738,0.009349804,0.0002437448],"about_ca_topic_score_codex":0.0000053755925,"about_ca_topic_score_gemma":0.0000060818215,"teacher_disagreement_score":0.03326225,"about_ca_system_score_codex":0.000040445386,"about_ca_system_score_gemma":0.000019505143,"threshold_uncertainty_score":0.7813669},"labels":[],"label_agreement":null},{"id":"W1976892837","doi":"10.1155/ijmms.2005.2735","title":"On Lax pairs and matrix extended simple Toda systems","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple (philosophy); Lax pair; Toda lattice; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Integrable system","score_opus":0.03242371264591919,"score_gpt":0.3421618845927923,"score_spread":0.3097381719468731,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976892837","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98095906,0.00037779784,0.012797832,0.0016281519,0.0005350454,0.00020007734,0.0000055244727,0.000027195461,0.0034693328],"genre_scores_gemma":[0.9646954,0.00007808197,0.03467038,0.00008314834,0.0003254735,0.0000042069964,2.1401915e-7,0.000013807259,0.00012927475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977965,0.000035798734,0.0007596944,0.00017657377,0.0010199645,0.00021151893],"domain_scores_gemma":[0.99765104,0.0013440952,0.00050553604,0.00012442173,0.00021355589,0.00016137582],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012157282,0.00018718715,0.0004081014,0.00016091412,0.0001255443,0.0003376753,0.00045918502,0.00007806514,0.00012431921],"category_scores_gemma":[0.0009248319,0.00011990223,0.00009384335,0.00008855895,0.00023397882,0.00025101073,0.00012175911,0.00016732258,0.000007156152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012791955,0.00019051116,0.000013149688,0.000071263414,0.000063680964,0.000008965418,0.00056126656,0.0000422074,0.000059547525,0.99686813,0.00055433984,0.0015541199],"study_design_scores_gemma":[0.0004949632,0.00023451586,0.000017125258,0.00024554873,0.000038324164,0.00043448716,0.0008428166,0.009035726,0.00011114466,0.9879472,0.0004571542,0.00014097689],"about_ca_topic_score_codex":0.0000030788171,"about_ca_topic_score_gemma":0.000001121937,"teacher_disagreement_score":0.021872548,"about_ca_system_score_codex":0.00004460325,"about_ca_system_score_gemma":0.000047130983,"threshold_uncertainty_score":0.48894712},"labels":[],"label_agreement":null},{"id":"W1977393683","doi":"10.48550/arxiv.1202.3922","title":"Macdonald polynomials in superspace as eigenfunctions of commuting operators","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Pure mathematics; Eigenfunction; Symmetrization; Macdonald polynomials; Orthogonal polynomials; Conjecture; Symmetric function; Monomial; Scalar (mathematics); Invariant (physics); Classical orthogonal polynomials; Combinatorics; Eigenvalues and eigenvectors; Mathematical physics; Geometry","score_opus":0.12080803086539482,"score_gpt":0.23724660088521254,"score_spread":0.11643857001981772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977393683","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9927099,0.0001419879,0.00086731237,0.000055765977,0.0010332904,0.00035569945,0.000019586932,0.00006006574,0.0047564046],"genre_scores_gemma":[0.99871576,0.00007076509,0.00017308457,0.000030770654,0.00014406814,0.0000014388825,0.000009101748,0.00003950502,0.00081549096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985267,0.00018998334,0.0003376468,0.00046780313,0.00010612059,0.00037176712],"domain_scores_gemma":[0.99831516,0.0003185959,0.00029503286,0.0008095169,0.00012276597,0.0001389214],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003305502,0.00032249934,0.00059403066,0.00024330564,0.00010753438,0.000023942941,0.00061296957,0.0004405266,0.00032991133],"category_scores_gemma":[0.00016514827,0.00036003295,0.00025413794,0.00034675212,0.00011586217,0.0001290901,0.0008873919,0.0006781797,0.000019081772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006412823,0.0001329355,0.008648334,0.0001405714,0.00014009589,0.00002001271,0.0008957831,0.005945174,0.000069702015,0.98369926,0.00020599613,0.000038003567],"study_design_scores_gemma":[0.0010000721,0.000046583624,0.0009964594,0.00024648116,0.0002746593,0.0000048740835,0.0017577299,0.002454388,0.0006363045,0.99177474,0.00021290117,0.00059478846],"about_ca_topic_score_codex":0.0013198137,"about_ca_topic_score_gemma":0.00013838826,"teacher_disagreement_score":0.008075495,"about_ca_system_score_codex":0.0002669237,"about_ca_system_score_gemma":0.00021950892,"threshold_uncertainty_score":0.99988514},"labels":[],"label_agreement":null},{"id":"W1977547403","doi":"10.1007/s11425-015-5009-1","title":"Simple Harish-Chandra supermodules over the super Schrödinger algebra","year":2015,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Wilfrid Laurier University","keywords":"Mathematics; Simple (philosophy); Algebra over a field; Schrödinger's cat; Pure mathematics; Verma module; Mathematical physics; Lie algebra","score_opus":0.0496177430805173,"score_gpt":0.31314795442387683,"score_spread":0.2635302113433595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977547403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98922974,0.000107895285,0.002459543,0.00040926854,0.0010982645,0.0003203357,0.000007840669,0.0001645116,0.006202599],"genre_scores_gemma":[0.9933367,0.000007891945,0.0056399526,0.00013849301,0.00029269262,0.000027378868,0.0000014073956,0.000047145022,0.0005083383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99680525,0.000049957594,0.0004893187,0.0004704342,0.0014809725,0.0007040649],"domain_scores_gemma":[0.99778897,0.00028292197,0.0001829021,0.0011756734,0.00025927133,0.00031025728],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019307651,0.00033585282,0.00040314396,0.00013428822,0.0007242921,0.00047245802,0.0014936773,0.00011507289,0.00024415593],"category_scores_gemma":[0.0019996206,0.00020115587,0.00013794703,0.0008113271,0.00097521645,0.0006807191,0.00053070957,0.00032116368,0.00006175112],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004791616,0.00008749147,0.00016003544,0.000043207114,0.000016618196,0.0000030530455,0.0089572165,0.000018453562,0.00029309103,0.986706,0.0034858133,0.00022421136],"study_design_scores_gemma":[0.00041366226,0.00006110831,0.00068237504,0.000036459784,0.00003964811,0.0000315127,0.0019097519,0.006628965,0.0011027799,0.98806787,0.0007238035,0.00030203906],"about_ca_topic_score_codex":0.000036771406,"about_ca_topic_score_gemma":0.000008537716,"teacher_disagreement_score":0.007047465,"about_ca_system_score_codex":0.0001426189,"about_ca_system_score_gemma":0.00033355036,"threshold_uncertainty_score":0.8202898},"labels":[],"label_agreement":null},{"id":"W1977791611","doi":"10.1007/s10582-004-9782-2","title":"Jack Superpolynomials: Physical and Combinatorial Definitions","year":2004,"lang":"en","type":"article","venue":"Czechoslovak Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Eigenfunction; Scalar (mathematics); Orthogonality; Multiplicative function; Mathematics; Correctness; Quantum; Trigonometry; Product (mathematics); Pure mathematics; Algebra over a field; Physics; Quantum mechanics; Mathematical analysis; Geometry; Algorithm; Eigenvalues and eigenvectors","score_opus":0.054341206166519634,"score_gpt":0.2957319013480779,"score_spread":0.24139069518155828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977791611","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9937583,0.00012932447,0.0035618735,0.00019447417,0.0016667595,0.000106585634,0.000006061224,0.000024692512,0.0005519009],"genre_scores_gemma":[0.9950942,0.000052848365,0.0022829466,0.000054772678,0.0024718835,0.0000024443843,8.871122e-7,0.000033752938,0.0000063054513],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987707,0.000048276182,0.00041459867,0.00014708396,0.00038519394,0.00023410683],"domain_scores_gemma":[0.9987757,0.00027976738,0.00033096137,0.00021589531,0.00023081929,0.000166836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001821231,0.00020595767,0.00048155864,0.000051143044,0.00013724396,0.000067327164,0.00023521708,0.000093004644,0.000009923003],"category_scores_gemma":[0.00021039377,0.00017305867,0.00022939249,0.00016847692,0.00013282982,0.0002921628,0.00007004931,0.00040903516,0.000006226642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045776334,0.00026364074,0.000034849938,0.0000237491,0.0000838386,0.000012441469,0.000998795,0.000029713587,0.0009234985,0.99649,0.00028075944,0.00081296],"study_design_scores_gemma":[0.0025190462,0.00030396457,0.00007498727,0.0000748974,0.00012903495,0.000076278535,0.00015692967,0.0000108053455,0.0071420786,0.98912716,0.00020388511,0.0001809096],"about_ca_topic_score_codex":0.0000064173837,"about_ca_topic_score_gemma":4.9922966e-7,"teacher_disagreement_score":0.007362794,"about_ca_system_score_codex":0.00008526808,"about_ca_system_score_gemma":0.00016134289,"threshold_uncertainty_score":0.70571274},"labels":[],"label_agreement":null},{"id":"W1977844564","doi":"10.1016/j.jalgebra.2011.04.030","title":"Three kinds of mutation","year":2011,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mutation; Set (abstract data type); Bounded function; Cluster (spacecraft); Mathematics; Pure mathematics; Derived category; Object (grammar); Algebra over a field; Computer science; Genetics; Artificial intelligence; Biology; Functor; Programming language; Mathematical analysis","score_opus":0.06041689521587139,"score_gpt":0.30372783613234094,"score_spread":0.24331094091646954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977844564","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97363603,0.0006088902,0.019552294,0.0000961779,0.0039309403,0.0001959306,0.000005424,0.00001644819,0.0019578815],"genre_scores_gemma":[0.98899585,0.00004271071,0.010140746,0.00002458086,0.0007270985,0.0000023649393,0.0000015912452,0.00003885721,0.000026199228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979632,0.000049024035,0.0010996164,0.00015392726,0.00057075574,0.00016346817],"domain_scores_gemma":[0.99622285,0.00017179624,0.0025355679,0.00041717791,0.0005588374,0.00009378789],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004870848,0.00023871986,0.00076397305,0.00021354477,0.00002821954,0.000026695045,0.0005866284,0.0003778872,0.0002510778],"category_scores_gemma":[0.00030275132,0.00018930534,0.00047385923,0.00008280568,0.000059246126,0.00009315723,0.00026200496,0.000791324,0.000002393302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017042176,0.00016733071,0.00024124974,0.00039069317,0.00060120644,0.000054027012,0.0016221538,0.000034292905,0.000102669714,0.99036735,0.0024164605,0.0038321405],"study_design_scores_gemma":[0.0005030343,0.00021571816,0.0009041415,0.00034528607,0.0002714301,0.00008403833,0.00005317187,0.000031621963,0.0029846309,0.9944079,0.000034572226,0.00016446353],"about_ca_topic_score_codex":0.000027057165,"about_ca_topic_score_gemma":0.000006847733,"teacher_disagreement_score":0.015359838,"about_ca_system_score_codex":0.00006176659,"about_ca_system_score_gemma":0.000276751,"threshold_uncertainty_score":0.7719648},"labels":[],"label_agreement":null},{"id":"W1978423992","doi":"10.1090/s0002-9947-2013-05895-3","title":"Pieri operators on the affine nilCoxeter algebra","year":2013,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Affine transformation; Algebra over a field; Mathematics; Pure mathematics","score_opus":0.029330045445749055,"score_gpt":0.28140580276141836,"score_spread":0.2520757573156693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978423992","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94357467,0.000030035688,0.045088448,0.0064838636,0.00077576004,0.0016513104,0.000060656574,0.00016212148,0.0021731553],"genre_scores_gemma":[0.98769224,0.000039177536,0.009804964,0.00081661146,0.0001710429,0.00030225457,0.0000015310153,0.00009418096,0.0010779982],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974081,0.00022552833,0.00074039155,0.00045352383,0.0007603417,0.0004121466],"domain_scores_gemma":[0.9957944,0.0013381152,0.00066541764,0.0019402832,0.00014607799,0.000115666226],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00039088313,0.00052526355,0.00096823036,0.000027249898,0.0003659997,0.00009580501,0.0015058973,0.00023446944,0.0016641845],"category_scores_gemma":[0.00017312837,0.00026814372,0.0015995051,0.0003433999,0.0010569312,0.000048769227,0.00022875931,0.0014066118,0.000042425527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036971913,0.0006900321,0.0000094802235,0.000616597,0.0013187871,3.8498254e-7,0.0046336986,0.00051145913,0.00028123317,0.9792687,0.010833458,0.0017991778],"study_design_scores_gemma":[0.00018772263,0.00009438599,0.00006442162,0.00022692756,0.00035137334,0.000004093771,0.00086593727,0.002104185,0.0012446485,0.9943565,0.00016284753,0.00033696738],"about_ca_topic_score_codex":0.00011893676,"about_ca_topic_score_gemma":0.0000023051714,"teacher_disagreement_score":0.044117592,"about_ca_system_score_codex":0.00015608809,"about_ca_system_score_gemma":0.00012085383,"threshold_uncertainty_score":0.99997705},"labels":[],"label_agreement":null},{"id":"W1978702792","doi":"10.1016/j.jpaa.2004.12.029","title":"Extensions of a dualizing complex by its ring: commutative versions of a conjecture of Tachikawa","year":2005,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Conjecture; Noetherian; Commutative property; Rank (graph theory); Pure mathematics; Local ring; Commutative ring; Ring (chemistry); Noetherian ring; Combinatorics; Discrete mathematics; Algebra over a field; Chemistry","score_opus":0.0354394407778278,"score_gpt":0.29734882555492376,"score_spread":0.26190938477709597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978702792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9968078,0.00073853886,0.0009751265,0.00031881515,0.00007472314,0.00016479584,0.00003566413,0.0000058097626,0.00087873486],"genre_scores_gemma":[0.9964459,0.00005794715,0.0033083337,0.000064255946,0.00008635451,0.0000012938405,0.000002409298,0.000016529322,0.00001696785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986042,0.000047991613,0.00075321214,0.00010362753,0.00034141072,0.00014960277],"domain_scores_gemma":[0.9980186,0.00041405793,0.0010912835,0.00015865915,0.00021828375,0.00009910375],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023586501,0.00016317036,0.0006965319,0.00010595278,0.000072677714,0.000007943376,0.00020026519,0.00011272211,0.00008279582],"category_scores_gemma":[0.00008877404,0.00012423104,0.00015501653,0.00014808256,0.00011931405,0.00007188597,0.000088051645,0.00028211394,3.1930514e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017868535,0.00027476496,0.00004299366,0.00018919162,0.00031760594,0.0000030224687,0.004464622,0.00008663205,0.080913715,0.9077822,0.004554607,0.0011919806],"study_design_scores_gemma":[0.004419542,0.0006334546,0.0005025248,0.00041112685,0.0005134449,0.00012204813,0.0050463276,0.00026867195,0.10329693,0.8830544,0.0014155379,0.00031602057],"about_ca_topic_score_codex":0.0000031524949,"about_ca_topic_score_gemma":0.00000248833,"teacher_disagreement_score":0.0247278,"about_ca_system_score_codex":0.000016498658,"about_ca_system_score_gemma":0.00005682202,"threshold_uncertainty_score":0.5065995},"labels":[],"label_agreement":null},{"id":"W1978928264","doi":"10.1088/0305-4470/34/37/318","title":"Higher<i>su</i>(<i>N</i>) tensor products","year":2001,"lang":"fa","type":"article","venue":"Journal of Physics A Mathematical and General","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Multiplicity (mathematics); Mathematics; Tensor product; Polytope; Tensor product of Hilbert spaces; Tensor (intrinsic definition); Tensor contraction; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.03273386939999403,"score_gpt":0.27273549656892837,"score_spread":0.24000162716893433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978928264","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9873428,0.0019184758,0.0031314953,0.003352426,0.002046928,0.00032828748,0.000009404673,0.000024232984,0.0018459695],"genre_scores_gemma":[0.9624951,0.0006000512,0.019413278,0.00046306776,0.009792989,0.0000061086885,0.0000016630812,0.00010536076,0.0071223956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968744,0.00012737772,0.0012663227,0.00032785756,0.00084678835,0.0005572591],"domain_scores_gemma":[0.9973904,0.0002850245,0.00093622966,0.00043274328,0.00057350757,0.00038208003],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005026519,0.0004924082,0.0011883962,0.00007231738,0.00017325378,0.0002457819,0.0003937954,0.00022678907,0.0002892795],"category_scores_gemma":[0.00023079292,0.00035403864,0.0003723507,0.0003301665,0.00021528354,0.00031625052,0.00017952338,0.0006473559,0.00003666648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014177522,0.0007201704,0.000087218774,0.00057476276,0.00033838276,0.00011432259,0.0007265823,0.000019908397,0.0011479079,0.98740804,0.0040534977,0.0046674046],"study_design_scores_gemma":[0.0015562195,0.00052987743,0.0001269472,0.00036056773,0.00050369545,0.0005949239,0.0000814557,0.0007383651,0.0012010246,0.98843867,0.0054520937,0.00041615096],"about_ca_topic_score_codex":0.0000040145705,"about_ca_topic_score_gemma":2.073727e-7,"teacher_disagreement_score":0.024847694,"about_ca_system_score_codex":0.000059323484,"about_ca_system_score_gemma":0.00015141236,"threshold_uncertainty_score":0.99989116},"labels":[],"label_agreement":null},{"id":"W1978978272","doi":"10.1088/1126-6708/2009/06/017","title":"Conformal current algebra in two dimensions","year":2009,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Current algebra; Physics; Wess–Zumino–Witten model; Algebra over a field; Conformal map; String theory; Worldsheet; Sigma model; Superconformal algebra; Conformal field theory; Conformal symmetry; Virasoro algebra; Mathematical physics; Pure mathematics; Algebra representation; Cellular algebra; Supersymmetry; Quantum mechanics; Mathematics; String field theory; Geometry","score_opus":0.020482961923163935,"score_gpt":0.297330428829765,"score_spread":0.27684746690660106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978978272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9783923,0.00037760095,0.018714052,0.00018756987,0.001694825,0.000039601775,0.0000013466241,0.000016116568,0.0005765601],"genre_scores_gemma":[0.99808353,0.0000766718,0.0008896999,0.00013772663,0.00077756285,6.714408e-7,0.0000010690519,0.000011363644,0.000021700775],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884164,0.0000373539,0.0004882138,0.00008512538,0.0003396537,0.00020801122],"domain_scores_gemma":[0.9991329,0.00009768834,0.00037351868,0.00016820274,0.00013543411,0.00009225788],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000114472416,0.00014542232,0.0003508091,0.00006782425,0.00004537697,0.000023397653,0.00020053875,0.00003617188,0.000014060303],"category_scores_gemma":[0.000032447024,0.000112301364,0.0001455205,0.0001617964,0.000021940365,0.00022091337,0.000030115085,0.00026999693,0.0000010867293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003417102,0.0001610892,0.00002053276,0.0000036702124,0.000018805318,0.0000128389875,0.000120478864,0.00034285424,0.000044865777,0.98737967,0.00060979265,0.011251227],"study_design_scores_gemma":[0.001181018,0.00014722024,0.00029199396,0.0000627783,0.0000308272,0.000022689164,0.000017424869,0.00011049704,0.0014877662,0.99587893,0.0006443013,0.00012452307],"about_ca_topic_score_codex":0.000016270425,"about_ca_topic_score_gemma":0.00000444914,"teacher_disagreement_score":0.019691207,"about_ca_system_score_codex":0.000056882083,"about_ca_system_score_gemma":0.00008416196,"threshold_uncertainty_score":0.45795166},"labels":[],"label_agreement":null},{"id":"W1979139505","doi":"10.1007/s00220-003-0933-2","title":"Jack Polynomials in Superspace","year":2003,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Eigenfunction; Orthogonal polynomials; Orthogonality; Orthogonal basis; Hahn polynomials; Hamiltonian (control theory); Superspace; Classical orthogonal polynomials; Discrete orthogonal polynomials","score_opus":0.11244390147677848,"score_gpt":0.3738674131800185,"score_spread":0.26142351170324,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1979139505","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7591943,0.0008193414,0.022503862,0.002369767,0.0003530755,0.0017082304,0.0000075782586,0.00022216824,0.21282168],"genre_scores_gemma":[0.9577836,0.00004843789,0.04180642,0.00006236814,0.00002387735,0.00008283872,0.0000021400476,0.000030805742,0.00015952611],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985674,0.00028759686,0.00048178766,0.00019090163,0.00018880494,0.00028353557],"domain_scores_gemma":[0.99647677,0.0014115672,0.00008937838,0.0019175409,0.00004544234,0.000059280603],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053044973,0.00017491002,0.00038443645,0.000068027104,0.00007848005,0.000035032706,0.0007997445,0.00011178932,0.000087623004],"category_scores_gemma":[0.0011159228,0.00016698026,0.000084249084,0.00046491495,0.00016879657,0.00012439264,0.00020196624,0.00038609694,0.000055067434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025523204,0.00038499743,0.00024818076,0.00003695468,0.0000075014827,6.543752e-7,0.00111619,0.000012171122,0.00004024192,0.99773675,0.00017552813,0.00023826561],"study_design_scores_gemma":[0.00048140748,0.000011712341,0.000067422814,0.00008422433,0.000010235939,0.0000024465737,0.0005017162,0.0008242194,0.0002394205,0.99717957,0.00042063644,0.00017698639],"about_ca_topic_score_codex":0.000009786939,"about_ca_topic_score_gemma":0.000020464946,"teacher_disagreement_score":0.21266215,"about_ca_system_score_codex":0.00012487388,"about_ca_system_score_gemma":0.000063209,"threshold_uncertainty_score":0.6809257},"labels":[],"label_agreement":null},{"id":"W1979554847","doi":"10.1016/s0021-8693(03)00039-5","title":"On the inductive construction of Galois coverings of algebras","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Quiver; Algebraically closed field; Pure mathematics; Surjective function; Functor; Homomorphism; Section (typography); Grothendieck group; Discrete mathematics; Algebra over a field; Abelian group","score_opus":0.025671898761811814,"score_gpt":0.2632305185303727,"score_spread":0.2375586197685609,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1979554847","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9960974,0.00007129488,0.0006722863,0.0001570019,0.00083854864,0.00011453272,0.0000021651688,0.000004543332,0.002042213],"genre_scores_gemma":[0.99770683,0.000022078555,0.0020890196,0.00005186161,0.0000888881,0.0000011027493,9.042985e-8,0.000016477561,0.000023642328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984563,0.00013173989,0.0006902267,0.00009218907,0.0004937361,0.00013579264],"domain_scores_gemma":[0.9974009,0.0006662778,0.0012467179,0.00024067523,0.00039117958,0.00005424004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005271423,0.00014017192,0.00042155082,0.0001125719,0.000049417373,0.000011835611,0.00023153854,0.000101419,0.00026025146],"category_scores_gemma":[0.0012226512,0.000088101144,0.00022314135,0.00020831262,0.00017005156,0.00012247934,0.000023794337,0.00030991988,0.0000012774755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008734035,0.000072379684,0.00022073314,0.00002944068,0.00016211534,0.0000022728589,0.0006079941,0.0000098647815,0.001300926,0.9966446,0.00059370545,0.00026859756],"study_design_scores_gemma":[0.0005671538,0.00037692458,0.0003387874,0.00010331679,0.00007262172,0.00008674964,0.00065074046,0.0000031928669,0.058579586,0.93901026,0.00013270247,0.00007796692],"about_ca_topic_score_codex":0.000007712364,"about_ca_topic_score_gemma":6.518519e-7,"teacher_disagreement_score":0.057634376,"about_ca_system_score_codex":0.00004895017,"about_ca_system_score_gemma":0.000126856,"threshold_uncertainty_score":0.35926604},"labels":[],"label_agreement":null},{"id":"W1979901780","doi":"10.1007/s002080050341","title":"Central extensions of Lie algebras graded by finite root systems","year":2000,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Root (linguistics); Lie algebra; Pure mathematics; Root system; Algebra over a field","score_opus":0.02992398157780462,"score_gpt":0.2710528326161036,"score_spread":0.24112885103829895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1979901780","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98997676,0.0012982356,0.0013800869,0.00019119399,0.00034874323,0.00052625925,0.00005815413,0.00015838187,0.0060621523],"genre_scores_gemma":[0.9932474,0.000071240196,0.0009519008,0.000049203747,0.0001525092,0.00004121442,0.000016549613,0.000060949664,0.005409055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790514,0.00010123284,0.00068706064,0.00032674472,0.0004862623,0.0004935688],"domain_scores_gemma":[0.99839514,0.00040637085,0.00025560963,0.00066857046,0.0000968942,0.00017741918],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022804922,0.00030261977,0.0006178311,0.00006296018,0.00012218603,0.00005182675,0.00040525463,0.00018696873,0.0014508516],"category_scores_gemma":[0.00018303555,0.00024938295,0.00020546034,0.0002132471,0.00008650798,0.00014577455,0.000060805603,0.00021502454,0.00007438282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053529373,0.00038091477,0.00017381503,0.00048457153,0.00023567375,0.000013483467,0.0017332159,0.000078070516,0.0007962565,0.92672944,0.067852184,0.0014688327],"study_design_scores_gemma":[0.00079636124,0.00012095301,0.00021614475,0.00031235686,0.00013197963,0.00003801781,0.00015628782,0.0011330349,0.0027761492,0.9871055,0.006792417,0.0004207889],"about_ca_topic_score_codex":0.000065369015,"about_ca_topic_score_gemma":0.0000042287325,"teacher_disagreement_score":0.06105977,"about_ca_system_score_codex":0.000022394675,"about_ca_system_score_gemma":0.00004259087,"threshold_uncertainty_score":0.9999958},"labels":[],"label_agreement":null},{"id":"W1981067658","doi":"10.1007/s10468-008-9115-4","title":"A Quantized Tits–Kantor–Koecher Algebra","year":2009,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Algebra over a field; Operator algebra; Fock space; Quantum algebra; Cellular algebra; Filtered algebra; Torus; Algebra representation","score_opus":0.035647443632386235,"score_gpt":0.3321862275163241,"score_spread":0.29653878388393784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981067658","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9842216,0.000634234,0.0039805705,0.0007095685,0.00050977507,0.00035760613,0.0000019349618,0.00020502013,0.0093796905],"genre_scores_gemma":[0.9960382,0.00008563239,0.0012665844,0.0004578625,0.00024599538,0.000012026271,0.0000060521857,0.00002400172,0.001863637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985578,0.00020234569,0.00033614712,0.00037001685,0.00027447302,0.00025922613],"domain_scores_gemma":[0.9988233,0.00044415923,0.00015079053,0.00039149116,0.000071738454,0.00011853115],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041512802,0.00020626782,0.00029501322,0.00008657807,0.00017723898,0.00008509487,0.00016599838,0.00014477498,0.00032039676],"category_scores_gemma":[0.00030776576,0.00016444096,0.00010935745,0.00018758365,0.0000902587,0.00015393103,0.000047877595,0.00016232752,0.000019189101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000105000676,0.000052286065,0.00014471829,0.000010571735,0.00004980197,0.000005947633,0.0007564986,9.668837e-7,0.0009208354,0.985382,0.0006739727,0.0118974075],"study_design_scores_gemma":[0.00092861307,0.00008727351,0.00234399,0.000019894433,0.00006158377,0.00001975306,0.00040030453,0.00005527995,0.002796931,0.992797,0.00027089778,0.00021844488],"about_ca_topic_score_codex":0.000015730675,"about_ca_topic_score_gemma":0.0000018543471,"teacher_disagreement_score":0.011816608,"about_ca_system_score_codex":0.000017984465,"about_ca_system_score_gemma":0.000027310758,"threshold_uncertainty_score":0.6705708},"labels":[],"label_agreement":null},{"id":"W1981141664","doi":"10.1063/1.3371219","title":"Embedding of “open” superalgebras into affine Kac–Moody superalgebras","year":2010,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Superalgebra; Embedding; Lie superalgebra; Pure mathematics; Affine transformation; Mathematics; Symmetry (geometry); Closure (psychology); Algebra over a field; Affine Lie algebra; Current algebra; Computer science","score_opus":0.03184531852057975,"score_gpt":0.34949517573131794,"score_spread":0.3176498572107382,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981141664","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9862446,0.00003403005,0.010563656,0.000388581,0.000851852,0.00026618733,0.0000029411178,0.000024937799,0.0016231677],"genre_scores_gemma":[0.9456256,0.0000073798283,0.053108875,0.00007569519,0.0009896699,0.00000492181,0.000001053371,0.000066159795,0.00012066871],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99709815,0.00008629571,0.0013957915,0.00021763374,0.0008454805,0.00035665624],"domain_scores_gemma":[0.996799,0.0010148339,0.0007886257,0.0006084523,0.00053596473,0.00025312512],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008941885,0.000339139,0.0011529091,0.000096273645,0.00011723041,0.00014321457,0.0012754129,0.00020627076,0.0008017535],"category_scores_gemma":[0.0012620328,0.00025127406,0.0004319632,0.0002929914,0.00019361402,0.00065850513,0.00037224105,0.0008991974,0.000017881246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006313748,0.0005721871,0.0000659387,0.0002709183,0.00015616395,0.00001096867,0.0012846056,0.0000074556356,0.016879926,0.97843146,0.0012177186,0.0010395355],"study_design_scores_gemma":[0.0011369126,0.0002501475,0.00003899263,0.00019245602,0.00016340656,0.00008913031,0.00022614241,0.0003418232,0.01817939,0.97898346,0.0001381223,0.0002600237],"about_ca_topic_score_codex":0.000008022758,"about_ca_topic_score_gemma":0.00000284657,"teacher_disagreement_score":0.042545218,"about_ca_system_score_codex":0.000044614146,"about_ca_system_score_gemma":0.00017975403,"threshold_uncertainty_score":0.9999939},"labels":[],"label_agreement":null},{"id":"W1981379966","doi":"10.4153/cmb-2003-014-1","title":"An Explicit Cell Decomposition of the Wonderful Compactification of a Semisimple Algebraic Group","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Compactification (mathematics); Mathematics; Algebraic group; Algebraic number; Monoid; Reductive group; Pure mathematics; Decomposition; Algebra over a field; Group theory; Mathematical analysis; Chemistry","score_opus":0.01849979905096167,"score_gpt":0.27062701538127126,"score_spread":0.2521272163303096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981379966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9874099,0.000033989996,0.0038919596,0.00034981655,0.00011829545,0.0004397808,0.000016532065,0.000020152482,0.007719601],"genre_scores_gemma":[0.9968263,0.0000011778557,0.002854713,0.000116603536,0.000024553041,0.000018030021,0.0000050713124,0.000029531202,0.00012404859],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853975,0.0001800151,0.00050941214,0.00020752147,0.00027781457,0.00028549644],"domain_scores_gemma":[0.998327,0.0003514845,0.00025441125,0.00069057185,0.00010384045,0.0002726959],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003570906,0.00017024238,0.00033607637,0.0000774778,0.0001099745,0.000021611435,0.00035745415,0.00013708994,0.0032648642],"category_scores_gemma":[0.0002893165,0.00013148619,0.00013303306,0.00019494166,0.00009160433,0.000033848242,0.00001601529,0.00015028886,0.000058052694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058547494,0.00012387469,0.00006332893,0.00014436532,0.0000145773365,6.343304e-7,0.000497778,0.0000062943977,0.0030250577,0.99429876,0.0017611505,0.00005834269],"study_design_scores_gemma":[0.00032856452,0.00006475838,0.0002022996,0.00007130905,0.0000485855,0.000011040869,0.00040378183,0.00014855403,0.022308957,0.9751054,0.001149668,0.00015704938],"about_ca_topic_score_codex":0.00043161548,"about_ca_topic_score_gemma":0.00025830968,"teacher_disagreement_score":0.019283898,"about_ca_system_score_codex":0.00009850418,"about_ca_system_score_gemma":0.00013689559,"threshold_uncertainty_score":0.9976463},"labels":[],"label_agreement":null},{"id":"W1981386424","doi":"10.1142/s0219199704001252","title":"VERTEX OPERATOR REPRESENTATIONS OF QUANTUM TORI AT ROOTS OF UNITY","year":2004,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Chinese Academy of Sciences","keywords":"Mathematics; Vertex operator algebra; Vertex (graph theory); Torus; Operator (biology); Lie algebra; Operator algebra; Pure mathematics; Combinatorics; Algebra over a field; Current algebra; Jordan algebra; Geometry","score_opus":0.17047115201489588,"score_gpt":0.3876807663687908,"score_spread":0.2172096143538949,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981386424","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9829982,0.00092378695,0.0032970267,0.0005852474,0.00023399924,0.00072582206,0.00003912118,0.00005898239,0.011137826],"genre_scores_gemma":[0.9747672,0.00009352449,0.024907818,0.000017197459,0.000010759433,0.00005045841,0.00002115671,0.000029398803,0.00010245637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812907,0.00014943749,0.0011172025,0.00016701402,0.00028882085,0.00014845577],"domain_scores_gemma":[0.9952477,0.0011421678,0.0005451223,0.0027416924,0.00026257662,0.000060727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048473195,0.0001763526,0.00052896567,0.00015086857,0.00012948249,0.00001175583,0.0011862495,0.00012624502,0.00003064648],"category_scores_gemma":[0.0009923193,0.00016905018,0.00011991827,0.00046180264,0.00028874233,0.00017258711,0.000626573,0.00021887323,0.000004417742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013795845,0.0006644829,0.0010750861,0.0002018837,0.000047644946,9.3392003e-7,0.0035039925,0.000064416985,0.00064056896,0.9934606,0.0002982979,0.000028312785],"study_design_scores_gemma":[0.0010654652,0.000062677536,0.00054955616,0.00031412306,0.000027355829,0.000004906436,0.0016336114,0.0010233566,0.0032309915,0.99179703,0.00013267591,0.00015825487],"about_ca_topic_score_codex":0.00019643205,"about_ca_topic_score_gemma":0.00009696592,"teacher_disagreement_score":0.021610793,"about_ca_system_score_codex":0.00013764304,"about_ca_system_score_gemma":0.00026521663,"threshold_uncertainty_score":0.68936664},"labels":[],"label_agreement":null},{"id":"W1981559553","doi":"10.1016/s0166-8641(02)00061-5","title":"The cohomology ring of the orientable Seifert manifolds, II","year":2003,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Cohomology; Seifert surface; Lens space; Abelian group; Manifold (fluid mechanics); Pure mathematics; Prime (order theory); Cohomology ring; Ring (chemistry); Space (punctuation); Combinatorics; Equivariant cohomology; Knot (papermaking); Chemistry; Knot theory; Knot invariant; Computer science","score_opus":0.018258908792679673,"score_gpt":0.2768463283503627,"score_spread":0.25858741955768305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981559553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9642751,0.0015223717,0.0017172785,0.0020794251,0.00055206293,0.0007654417,0.0000054314255,0.000034948527,0.029047929],"genre_scores_gemma":[0.99753964,0.00006655661,0.00012261471,0.00008417442,0.000031873325,0.00009581357,4.1801042e-7,0.0000055412675,0.0020533844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995166,0.00005235191,0.00014634321,0.000108018976,0.000048479047,0.00012817912],"domain_scores_gemma":[0.99925846,0.0003252317,0.0000804088,0.000275462,0.000039783772,0.000020660456],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013170623,0.000061064784,0.00009885155,0.000009031796,0.0006888795,0.0000044821586,0.00016512346,0.000074699,0.000056974728],"category_scores_gemma":[0.000110919565,0.000034759516,0.000027074078,0.000083767176,0.00015123868,0.000016004733,0.00007696231,0.00009302035,0.0000021018936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000022289016,0.0000173891,0.00017049612,0.0000045788406,0.000015371339,3.6176132e-8,0.00013628042,6.834935e-7,0.00008704434,0.9991443,0.00028265957,0.00013892169],"study_design_scores_gemma":[0.00013166832,0.000018085957,0.0002709906,0.0000020612117,0.000023708357,0.000018955607,0.00016088565,0.000009684361,0.0019369912,0.9639456,0.033441838,0.000039519255],"about_ca_topic_score_codex":0.0000089860905,"about_ca_topic_score_gemma":0.000014370762,"teacher_disagreement_score":0.035198696,"about_ca_system_score_codex":0.000007766583,"about_ca_system_score_gemma":0.000026435797,"threshold_uncertainty_score":0.52983737},"labels":[],"label_agreement":null},{"id":"W1981796910","doi":"10.1088/1751-8113/40/30/017","title":"On character generators for simple Lie algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Character (mathematics); Simple (philosophy); Rank (graph theory); Generator (circuit theory); Lie algebra; Mathematics; Pure mathematics; Basis (linear algebra); Quadratic equation; Algebra over a field; Combinatorics; Physics; Geometry; Quantum mechanics","score_opus":0.01977145448530342,"score_gpt":0.29873039639139853,"score_spread":0.2789589419060951,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981796910","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8873601,0.000018378221,0.11140231,0.00037352013,0.00023557356,0.0001633498,0.0000035484516,0.000012356646,0.0004308838],"genre_scores_gemma":[0.9884414,0.000004399956,0.010209305,0.0004932377,0.00080501294,0.000003346173,6.808101e-7,0.000032842174,0.000009764228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985471,0.000032376043,0.0005951376,0.0001442575,0.00038108078,0.00030007292],"domain_scores_gemma":[0.997047,0.0021361439,0.0002493141,0.00017108042,0.00016816634,0.00022825984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009196415,0.00019455364,0.00047790317,0.000046621222,0.0000840991,0.00005101057,0.0001614477,0.00010273577,0.00012657457],"category_scores_gemma":[0.0006928276,0.00012508016,0.00023658833,0.0000753573,0.00023164321,0.0000755705,0.000044456443,0.00026059087,0.000004461406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020852461,0.0002473275,0.0000052234836,0.00007218449,0.000072556475,0.000008429464,0.00018245837,2.8477496e-7,0.000232932,0.9955804,0.000535681,0.0028540387],"study_design_scores_gemma":[0.00080187654,0.0005039325,0.000011470166,0.00006627571,0.00008686406,0.000046167013,0.000046406843,0.00020971868,0.006616268,0.991323,0.00013790188,0.00015010753],"about_ca_topic_score_codex":5.147828e-8,"about_ca_topic_score_gemma":3.113899e-8,"teacher_disagreement_score":0.101193,"about_ca_system_score_codex":0.00002385294,"about_ca_system_score_gemma":0.000027524637,"threshold_uncertainty_score":0.51006204},"labels":[],"label_agreement":null},{"id":"W1981940473","doi":"10.1081/agb-120021887","title":"Derivations of Orthosymplectic Lie Superalgebras","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Semidirect product; Pure mathematics; Algebra over a field; Product (mathematics); Group (periodic table); Geometry; Chemistry","score_opus":0.09355412873474966,"score_gpt":0.35676076829221576,"score_spread":0.2632066395574661,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981940473","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9848985,0.0007186278,0.0013461359,0.00039274056,0.00018819625,0.00032830512,0.0000031549814,0.00006703232,0.012057302],"genre_scores_gemma":[0.9776599,0.0001268651,0.021934425,0.00006693168,0.000011766852,0.000078679244,0.00000785441,0.0000271484,0.00008647012],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986168,0.00026551096,0.0005541094,0.0001741923,0.00017284715,0.00021653301],"domain_scores_gemma":[0.99676853,0.0008631985,0.00010305489,0.0020853325,0.000127741,0.000052131923],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034760806,0.00014619245,0.00027637748,0.00018277521,0.00016068587,0.000020321995,0.000839331,0.000105660765,0.00021043944],"category_scores_gemma":[0.0012916058,0.00014910671,0.000087887696,0.0007142748,0.00018047901,0.00012653485,0.00017646883,0.00026060367,0.000009287427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023182295,0.00016645566,0.011365282,0.000017986411,0.000020426767,2.6858237e-7,0.00041714474,0.0000017559132,0.00011392774,0.98749983,0.00015757112,0.00023703344],"study_design_scores_gemma":[0.00040661526,0.000025447762,0.002837561,0.000037855767,0.00002115861,0.000006243265,0.00016469113,0.000042579588,0.001153828,0.99362165,0.001532979,0.0001493641],"about_ca_topic_score_codex":0.00004772168,"about_ca_topic_score_gemma":0.00016574819,"teacher_disagreement_score":0.02058829,"about_ca_system_score_codex":0.00006566857,"about_ca_system_score_gemma":0.00011009341,"threshold_uncertainty_score":0.60803956},"labels":[],"label_agreement":null},{"id":"W1982181961","doi":"10.1016/j.crma.2009.01.021","title":"Homology of free quantum groups","year":2009,"lang":"fr","type":"article","venue":"Comptes Rendus Mathématique","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Betti number; Mathematics; Homology (biology); Quantum; Free group; Dimension (graph theory); Combinatorics; Pure mathematics; Entropy (arrow of time); Group (periodic table); Physics; Quantum mechanics; Biology","score_opus":0.023687202659942615,"score_gpt":0.27617755547479494,"score_spread":0.2524903528148523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982181961","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9333449,0.027066736,0.011969268,0.0074673244,0.0063517783,0.0007973796,0.00011014825,0.00023758996,0.012654899],"genre_scores_gemma":[0.9889477,0.000721591,0.0076354686,0.00031874413,0.0005649737,0.000015097422,0.000015216659,0.00006078843,0.0017204463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997012,0.00032566427,0.0011198927,0.00045968484,0.00041216338,0.00067056407],"domain_scores_gemma":[0.99676627,0.00066287036,0.0006716197,0.0014724454,0.00022217416,0.00020462013],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00038258254,0.000510744,0.0011395318,0.00016253207,0.00012554892,0.000053324984,0.0010730721,0.000709478,0.0022875196],"category_scores_gemma":[0.00048176636,0.0005103422,0.00034254533,0.00032359542,0.00030489513,0.0001789849,0.00025901906,0.000664826,0.00013418023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003930702,0.0004306863,0.00006358913,0.00039445757,0.000104872444,0.0000382071,0.0011755879,0.000028877594,0.00050692854,0.95199406,0.04184688,0.0033765372],"study_design_scores_gemma":[0.0010301684,0.0006827149,0.0011749219,0.00039908066,0.00014632396,0.00016183812,0.00018020374,0.002110798,0.0022361337,0.9883176,0.003099232,0.00046096757],"about_ca_topic_score_codex":0.00010376447,"about_ca_topic_score_gemma":0.0000106679845,"teacher_disagreement_score":0.055602796,"about_ca_system_score_codex":0.00011695366,"about_ca_system_score_gemma":0.00015034266,"threshold_uncertainty_score":0.9997348},"labels":[],"label_agreement":null},{"id":"W1982195206","doi":"10.1007/s00229-002-0353-1","title":"On functorial decompositions of self-smash products","year":2003,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Indecomposable module; Mathematics; Number theory; Decomposition; Steenrod algebra; Pure mathematics; Combinatorics; Homology (biology); Algebra over a field","score_opus":0.03897241999489638,"score_gpt":0.27062655139246855,"score_spread":0.23165413139757218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982195206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9103336,0.00010400377,0.0039812173,0.00028116675,0.0055869995,0.0011856919,0.000010286854,0.00038420272,0.07813286],"genre_scores_gemma":[0.9701132,0.0000035980875,0.028589308,0.000059425078,0.00021448632,0.000053525273,0.000002534427,0.000052981395,0.00091092655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99818087,0.00012007313,0.00055476953,0.00034631594,0.00048811454,0.00030986973],"domain_scores_gemma":[0.9982866,0.0003613266,0.00023671785,0.0008611656,0.00015870135,0.00009549908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030151338,0.00027169648,0.00049435266,0.00010895919,0.00012494792,0.000038373775,0.00029178752,0.0001203222,0.00036642447],"category_scores_gemma":[0.0010370036,0.00022469454,0.00014517337,0.0002538489,0.000055404376,0.00008954912,0.000050636896,0.00017427522,0.00006402089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000194519,0.00048058064,0.0000053691883,0.00029536503,0.00007872305,0.0000028028282,0.0007514449,0.0000013824359,0.0005146085,0.9855719,0.0122561855,0.000022168711],"study_design_scores_gemma":[0.0006231492,0.00018457104,0.000015041871,0.000081877675,0.00010940684,0.00001326507,0.000104812876,0.000040061645,0.009814608,0.9860784,0.002707215,0.00022763018],"about_ca_topic_score_codex":0.0000020605862,"about_ca_topic_score_gemma":7.087963e-7,"teacher_disagreement_score":0.07722193,"about_ca_system_score_codex":0.00005740306,"about_ca_system_score_gemma":0.000069717134,"threshold_uncertainty_score":0.9162777},"labels":[],"label_agreement":null},{"id":"W1982420064","doi":"10.1016/j.nuclphysb.2005.09.014","title":"On logarithmic solutions to the conformal Ward identities","year":2005,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Ansatz; Primary field; Conformal map; Logarithm; Operator product expansion; Mathematics; Context (archaeology); Conformal field theory; Rank (graph theory); Operator (biology); Field (mathematics); Point (geometry); Pure mathematics; Algebra over a field; Mathematical physics; Mathematical analysis; Combinatorics; Geometry","score_opus":0.03791543398558098,"score_gpt":0.2753478511750991,"score_spread":0.2374324171895181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982420064","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9517611,0.000015495161,0.0026784004,0.0036232588,0.0011145978,0.0004223083,0.000016212498,0.00021192948,0.040156685],"genre_scores_gemma":[0.99686146,0.000002180701,0.00044118945,0.0011428674,0.00079901185,0.000007223818,0.0000010596514,0.000024845258,0.0007201796],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993231,0.000017686785,0.000118436015,0.000108952736,0.00021821201,0.0002135874],"domain_scores_gemma":[0.99949926,0.00007358569,0.000040172898,0.00030009644,0.000040174782,0.00004672401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007546676,0.0001003264,0.00010793638,0.00001573423,0.00027312356,0.00006567643,0.00024183473,0.00004013095,0.0001622186],"category_scores_gemma":[0.000034882065,0.00007228434,0.000079288,0.000071912415,0.0000378274,0.000101756086,0.00010142639,0.00015131872,0.0006542251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009309693,0.000027891365,4.487387e-7,0.0000036344425,0.000016521124,2.484235e-7,0.0010116928,0.00036921687,0.000016916203,0.9638508,0.03253769,0.0021556253],"study_design_scores_gemma":[0.00018831847,0.000057572153,0.00003166294,0.000009654719,0.00001632625,0.0000019662832,0.00015202198,0.0013616581,0.00008648059,0.9751844,0.022804132,0.00010585487],"about_ca_topic_score_codex":0.000009666603,"about_ca_topic_score_gemma":0.0000053166173,"teacher_disagreement_score":0.045100328,"about_ca_system_score_codex":0.00004478775,"about_ca_system_score_gemma":0.000015650268,"threshold_uncertainty_score":0.8408959},"labels":[],"label_agreement":null},{"id":"W1982562650","doi":"10.1007/s10582-004-9773-3","title":"Casimir Elements for Some Graded Lie Algebras and Superalgebras","year":2004,"lang":"en","type":"article","venue":"Czechoslovak Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Casimir effect; Physics; Lie algebra; Pure mathematics; Particle physics; Mathematics; Quantum mechanics","score_opus":0.040141943563988,"score_gpt":0.3045256192899123,"score_spread":0.2643836757259243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982562650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9916479,0.0003851667,0.0063805673,0.00032181424,0.0009086006,0.0002991587,0.000007436444,0.000023577488,0.000025788855],"genre_scores_gemma":[0.9888494,0.00007956666,0.009410252,0.00024754484,0.0013160051,0.000008454757,0.0000020881766,0.00005312457,0.000033573564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984223,0.000028422784,0.0006417511,0.00018854532,0.00038446672,0.0003344885],"domain_scores_gemma":[0.9986934,0.00018865538,0.00047064113,0.00023287594,0.00023492743,0.00017951455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027523874,0.0002518851,0.0004944583,0.00006853608,0.0001491342,0.00007433085,0.00028946614,0.00009410989,0.000011820711],"category_scores_gemma":[0.00017939013,0.00020999426,0.0002472784,0.00012829056,0.000074666736,0.00043138769,0.000063799394,0.00028263626,0.0000019991605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067978544,0.00013595028,0.00010832356,0.000066668246,0.00017476844,0.000012787412,0.0005448448,0.000012227304,0.0013898617,0.99406976,0.00047609612,0.0029407416],"study_design_scores_gemma":[0.003293368,0.000401301,0.00012225352,0.00009121922,0.00013943166,0.0000666895,0.00013475622,0.0000082880515,0.020358598,0.97484726,0.00031609324,0.00022074993],"about_ca_topic_score_codex":0.0000040011046,"about_ca_topic_score_gemma":9.757682e-7,"teacher_disagreement_score":0.019222502,"about_ca_system_score_codex":0.00010360358,"about_ca_system_score_gemma":0.00014308964,"threshold_uncertainty_score":0.85633177},"labels":[],"label_agreement":null},{"id":"W1983112976","doi":"10.1088/1751-8113/45/50/505201","title":"Higher identities for the ternary commutator","year":2012,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Multilinear map; Mathematics; Commutator; Degree (music); Identity (music); Partition (number theory); Dimension (graph theory); Combinatorics; Pure mathematics; Polynomial; Discrete mathematics; Algebra over a field; Mathematical analysis; Lie conformal algebra","score_opus":0.03341158968056532,"score_gpt":0.3067782089338434,"score_spread":0.2733666192532781,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983112976","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8872827,0.00080050714,0.107333,0.0016939576,0.0013022858,0.00033857592,0.0000064499773,0.000020587126,0.0012219338],"genre_scores_gemma":[0.9941372,0.000016284981,0.00419653,0.00011581516,0.0014189827,0.000008308897,1.5330536e-7,0.000021451937,0.00008521831],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989823,0.000051512015,0.00038159377,0.000057583322,0.00029183595,0.00023515148],"domain_scores_gemma":[0.9969329,0.002481712,0.00018752845,0.00016341623,0.000101480095,0.0001329303],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060600933,0.00013389875,0.00032851272,0.00001556346,0.00011886423,0.00006066069,0.00021620783,0.00006048977,0.0001683668],"category_scores_gemma":[0.00025065307,0.00006790506,0.00020056039,0.00004285786,0.00042525798,0.0001521931,0.00008348782,0.00020334947,0.0000030897204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051654613,0.00015357605,0.00003129658,0.00009083939,0.00011163695,0.0000010235636,0.0006210995,2.3270272e-7,0.00002069023,0.9976728,0.00062610314,0.0006190567],"study_design_scores_gemma":[0.00044720306,0.000106861495,0.00004210088,0.000051640694,0.00017588567,0.00008950043,0.00020075485,0.00025821896,0.00030946708,0.9979833,0.00024331256,0.000091779904],"about_ca_topic_score_codex":1.10148854e-7,"about_ca_topic_score_gemma":7.263331e-9,"teacher_disagreement_score":0.10685455,"about_ca_system_score_codex":0.000013357562,"about_ca_system_score_gemma":0.0000150189935,"threshold_uncertainty_score":0.2769088},"labels":[],"label_agreement":null},{"id":"W1983236931","doi":"10.1007/s40062-013-0064-1","title":"Cup coproducts in Hopf cyclic cohomology","year":2013,"lang":"en","type":"preprint","venue":"Journal of Homotopy and Related Structures","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Coproduct; Hopf algebra; Homology (biology); Cohomology; Cyclic homology; Mathematics; Pure mathematics; Quantum group; Universal enveloping algebra; Quasitriangular Hopf algebra; Algebra over a field; Filtered algebra; Chemistry; Division algebra; Amino acid","score_opus":0.01992392929896286,"score_gpt":0.2930954993897486,"score_spread":0.27317157009078574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983236931","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9867485,0.0062172418,0.000020699803,0.00053295126,0.00543101,0.00042681323,0.0000052543437,0.000023841605,0.00059369084],"genre_scores_gemma":[0.99633145,0.0012712878,0.0015139041,0.000053137217,0.00052736944,0.0000062283657,0.000004043395,0.000048422353,0.00024417584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972308,0.00025496134,0.0013342431,0.00039646425,0.00041017865,0.000373308],"domain_scores_gemma":[0.9974434,0.00026248314,0.0014213233,0.00045294967,0.00025060648,0.00016924499],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.00044178305,0.00046175762,0.001222735,0.0004229397,0.00009021802,0.000099249635,0.0005134554,0.0012088191,0.0002533217],"category_scores_gemma":[0.0004793109,0.00032712205,0.00026082696,0.00015494121,0.00021101254,0.00011877645,0.00038207154,0.0028353322,0.0000019305692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004591396,0.00023238131,0.003179118,0.0012053221,0.0018362455,0.0011013995,0.0065006297,0.001054371,0.0009197108,0.9679987,0.008682581,0.006830407],"study_design_scores_gemma":[0.0012550807,0.0001818724,0.005946816,0.00030073166,0.0001830958,0.001342236,0.000110087254,0.000048274887,0.00041992575,0.98963577,0.00024529884,0.00033081137],"about_ca_topic_score_codex":0.00006190633,"about_ca_topic_score_gemma":0.000006010412,"teacher_disagreement_score":0.021637075,"about_ca_system_score_codex":0.00009006391,"about_ca_system_score_gemma":0.0001977101,"threshold_uncertainty_score":0.9999181},"labels":[],"label_agreement":null},{"id":"W1983401874","doi":"10.1006/jabr.2001.9112","title":"Covering Algebras I. Extended Affine Lie Algebras","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; University of Alberta","funders":"","keywords":"Mathematics; Affine transformation; Affine Lie algebra; Lie algebra; Pure mathematics; Adjoint representation of a Lie algebra; Killing form; Lie conformal algebra; Algebra over a field; Current algebra","score_opus":0.03733864376701746,"score_gpt":0.2735319956592755,"score_spread":0.23619335189225804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983401874","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98709494,0.001645725,0.0016734438,0.0010324226,0.0025497635,0.00020892413,0.00000317103,0.000093415016,0.005698208],"genre_scores_gemma":[0.99156004,0.00022946075,0.0049479916,0.0003449996,0.0016156865,0.0000039771508,7.0964404e-7,0.00008315482,0.0012140047],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969524,0.00010684998,0.0011902977,0.00028009329,0.0009293493,0.00054097193],"domain_scores_gemma":[0.99745476,0.00041606507,0.0009607975,0.000516014,0.00032626014,0.00032612766],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00050742435,0.00039195997,0.0007969778,0.00027198685,0.00016994533,0.00013388252,0.00070274586,0.00022733225,0.0032845826],"category_scores_gemma":[0.0006913634,0.00032124866,0.0004814962,0.0003747574,0.000092154994,0.00051594415,0.00014576767,0.0006595038,0.00007390834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000118775555,0.00044441214,0.00022601876,0.00009099407,0.00044528214,0.00025215468,0.0010753479,0.000020593541,0.0013724002,0.9495056,0.034857966,0.011590427],"study_design_scores_gemma":[0.0019705214,0.0004827163,0.0006419767,0.00013894432,0.00017595579,0.0006328605,0.00014678815,0.00017987205,0.0028800508,0.9860797,0.006252825,0.00041779535],"about_ca_topic_score_codex":0.0000050978283,"about_ca_topic_score_gemma":0.000002763566,"teacher_disagreement_score":0.036574066,"about_ca_system_score_codex":0.00014713564,"about_ca_system_score_gemma":0.00006398398,"threshold_uncertainty_score":0.99992394},"labels":[],"label_agreement":null},{"id":"W1984878020","doi":"10.1007/s10711-010-9508-5","title":"Morse theory of the moment map for representations of quivers","year":2010,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada; American Institute of Mathematics","keywords":"Mathematics; Pure mathematics; Morse theory; Equivariant map; Balanced flow; Algebraic geometry; Quiver; Moduli space; Algebraic number; Mathematical analysis; Algebra over a field","score_opus":0.034599601775721404,"score_gpt":0.31452359952264713,"score_spread":0.2799239977469257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984878020","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9881392,0.000053231146,0.007836226,0.00066815043,0.0020400083,0.00069052586,0.000114336624,0.000019927425,0.0004383601],"genre_scores_gemma":[0.9973573,0.0000040331784,0.0020775176,0.000031034564,0.00012521358,0.00003320976,0.000008444892,0.000013162027,0.00035005153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990278,0.000036483692,0.0003275773,0.00015169263,0.00031485534,0.0001415873],"domain_scores_gemma":[0.99782497,0.00091170403,0.00030308266,0.00078303076,0.00012882453,0.000048363105],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006018608,0.00008554473,0.00020549404,0.00012994233,0.00006903896,0.0000058685973,0.00052379566,0.00008450322,0.00017054858],"category_scores_gemma":[0.0017129197,0.000057376816,0.00016616106,0.00038792603,0.00017219507,0.000039447375,0.00015277241,0.00012861862,0.0000018663782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042566455,0.00007220823,0.0004371405,0.00007351756,0.000077181954,9.572392e-8,0.0003189461,0.0000029907292,0.0017597531,0.991898,0.0045369407,0.0007806704],"study_design_scores_gemma":[0.0007645467,0.000039699746,0.0014658265,0.000014681438,0.00009339146,9.560725e-7,0.00026076124,0.00002171078,0.015779098,0.98013186,0.0013633902,0.00006409371],"about_ca_topic_score_codex":0.000034460274,"about_ca_topic_score_gemma":0.0000063224043,"teacher_disagreement_score":0.014019345,"about_ca_system_score_codex":0.000009965013,"about_ca_system_score_gemma":0.000062148,"threshold_uncertainty_score":0.23397587},"labels":[],"label_agreement":null},{"id":"W1985794989","doi":"10.1007/s10801-014-0513-x","title":"The antipode and primitive elements in the Hopf monoid of supercharacters","year":2014,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Monoid; Mathematics; Hopf algebra; Unipotent; Combinatorics; Field (mathematics); Algebra over a field; Discrete mathematics; Pure mathematics","score_opus":0.016971415563244534,"score_gpt":0.2742403831456117,"score_spread":0.25726896758236717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985794989","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9972588,0.00034720442,0.00015541943,0.0009085101,0.000832753,0.00020082622,0.0000011562355,0.0000050015765,0.00029035832],"genre_scores_gemma":[0.9992424,0.0003328862,0.00015832997,0.0001118636,0.000109734865,0.000003644978,3.3427696e-7,0.000018464198,0.000022321234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977239,0.00034489128,0.00087970693,0.00012792116,0.0006530625,0.0002705691],"domain_scores_gemma":[0.9966472,0.0019784155,0.0007154252,0.00033183317,0.00025591243,0.00007120609],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022822062,0.00018423847,0.00042108033,0.00011155019,0.00015491316,0.000066666886,0.00062903867,0.0000923279,0.000004222064],"category_scores_gemma":[0.0010407617,0.00010197527,0.00013631914,0.0002857529,0.00014141278,0.00016799505,0.000104091225,0.00047928345,4.2101368e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007377558,0.00014099684,0.00500339,0.00003930726,0.000071637856,0.000005796548,0.002078674,9.871675e-7,0.00015766697,0.9898204,0.0003609346,0.0022464134],"study_design_scores_gemma":[0.0014100217,0.00042918045,0.018995421,0.0000683687,0.000064284584,0.00005221379,0.00094726734,0.00008584881,0.0003562971,0.97659564,0.00087748957,0.000117967575],"about_ca_topic_score_codex":0.000008810025,"about_ca_topic_score_gemma":0.0000043337914,"teacher_disagreement_score":0.013992031,"about_ca_system_score_codex":0.000058555182,"about_ca_system_score_gemma":0.00007498809,"threshold_uncertainty_score":0.41584307},"labels":[],"label_agreement":null},{"id":"W1986270090","doi":"10.1515/forum-2011-0038","title":"Weitzenböck derivations of nilpotency 3","year":2012,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Conjecture; Polynomial ring; Combinatorics; Polynomial; Locally nilpotent; Pure mathematics; Algebra over a field; Nilpotent group; Nilpotent; Mathematical analysis","score_opus":0.05608034129206906,"score_gpt":0.3197414367333842,"score_spread":0.2636610954413151,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986270090","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8559249,0.0014068751,0.08941006,0.0013061254,0.007820304,0.0030857474,0.00015260492,0.0006830925,0.0402103],"genre_scores_gemma":[0.9608472,0.00001835457,0.037693087,0.000039943905,0.0003376407,0.00013983138,0.000024297891,0.00010707336,0.0007925907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974452,0.00006306679,0.0010359823,0.00035300752,0.00056759757,0.00053510076],"domain_scores_gemma":[0.9969382,0.00039655218,0.0010098544,0.0013226542,0.00019859613,0.00013410389],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003575347,0.0004644635,0.0009590227,0.00015292238,0.000107756234,0.000045203542,0.0007204648,0.0005161294,0.00060861406],"category_scores_gemma":[0.0005218062,0.00039950025,0.0004334483,0.00014645988,0.000092623806,0.00010906605,0.0010191526,0.0005401788,0.000041290168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000061718606,0.00020412919,0.00010581635,0.0017404517,0.00016244879,7.8443156e-7,0.0013483695,0.000009308263,0.0000735564,0.9910508,0.005094202,0.00020400941],"study_design_scores_gemma":[0.00022959178,0.000024235858,0.00005792903,0.00051625445,0.00022950917,0.000009388265,0.0002936735,0.00022608416,0.0015283859,0.99620247,0.00029834258,0.00038416244],"about_ca_topic_score_codex":0.000022678983,"about_ca_topic_score_gemma":0.0000040760788,"teacher_disagreement_score":0.10492229,"about_ca_system_score_codex":0.000071061775,"about_ca_system_score_gemma":0.00012795324,"threshold_uncertainty_score":0.9998457},"labels":[],"label_agreement":null},{"id":"W1988075174","doi":"10.1142/s0217751x04017562","title":"DEVELOPMENT OF A UNIFIED TENSOR CALCULUS FOR THE EXCEPTIONAL LIE ALGEBRAS","year":2004,"lang":"en","type":"article","venue":"International Journal of Modern Physics A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Adjoint representation of a Lie algebra; Tensor calculus; Lie conformal algebra; Tensor (intrinsic definition); Algebra over a field; Lie algebra; Killing form; Affine Lie algebra; Adjoint representation","score_opus":0.05745248615024477,"score_gpt":0.3253022229257965,"score_spread":0.26784973677555174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988075174","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4671872,0.0000683764,0.53115064,0.0005523561,0.00083692576,0.00012175347,0.000009282918,0.0000053284657,0.00006817625],"genre_scores_gemma":[0.97194034,0.000008070661,0.027125223,0.00008638075,0.00077348144,0.000009266452,0.0000025931975,0.0000175174,0.000037127655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856055,0.000011473944,0.000530206,0.00009096616,0.0006904901,0.00011633896],"domain_scores_gemma":[0.9982084,0.0002469926,0.0005386554,0.000114770046,0.0008480602,0.00004309483],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022024816,0.00011656612,0.00020380842,0.000045449076,0.00006826752,0.000029684745,0.000521322,0.000045313278,0.000015334288],"category_scores_gemma":[0.00010892488,0.000078227466,0.00021312122,0.00004741769,0.000048494152,0.0001061336,0.000063341664,0.00013343454,0.0000011831913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018416301,0.000195454,0.000014069227,0.000012616005,0.0005504393,0.0000028698755,0.0019215468,0.0022412075,0.0022506244,0.9773666,0.000112460235,0.015147948],"study_design_scores_gemma":[0.0015441843,0.000046885703,0.00023437962,0.00006759833,0.00004650662,0.000024014787,0.000086002,0.00080712134,0.005685074,0.99090207,0.0004699656,0.000086212596],"about_ca_topic_score_codex":0.000003468948,"about_ca_topic_score_gemma":0.000003283347,"teacher_disagreement_score":0.5047532,"about_ca_system_score_codex":0.00013384469,"about_ca_system_score_gemma":0.0003530893,"threshold_uncertainty_score":0.31900236},"labels":[],"label_agreement":null},{"id":"W1988180801","doi":"10.1007/s10468-010-9258-y","title":"Combinatorial Hopf Algebras and Towers of Algebras—Dimension, Quantization and Functorality","year":2010,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Hopf algebra; Tower; Axiom; Categorification; Dual (grammatical number); Quantum; Quantum group","score_opus":0.020065076031603825,"score_gpt":0.29655040381409875,"score_spread":0.2764853277824949,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988180801","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.996093,0.00039926037,0.00071155047,0.00022887919,0.0016466205,0.00043636217,0.000008325235,0.00007202852,0.00040400098],"genre_scores_gemma":[0.99870414,0.00016429293,0.0006597325,0.00009831998,0.00021021927,0.000015061261,0.000018442199,0.00003769433,0.00009208167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980581,0.0002542908,0.0005496777,0.00052561454,0.00036095202,0.00025137232],"domain_scores_gemma":[0.99792844,0.00088784576,0.00035440788,0.00044384046,0.00020069638,0.00018475238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077100587,0.00028173975,0.00046027618,0.00012745692,0.0002840252,0.00009035646,0.00012890414,0.00026917664,0.00013249244],"category_scores_gemma":[0.0006853959,0.00023798758,0.00007267212,0.00020666547,0.00051108486,0.0003191864,0.00018584476,0.00028083415,0.0000013870084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017607921,0.00006607586,0.009641709,0.00008233244,0.00008821052,0.0000021211845,0.0012419376,6.2634746e-7,0.005995446,0.9791531,0.00019948806,0.003352896],"study_design_scores_gemma":[0.001528751,0.0001213877,0.016079746,0.000027586546,0.00012849808,0.000022354205,0.0007306125,0.00009332584,0.006956142,0.9739453,0.00010006422,0.0002661922],"about_ca_topic_score_codex":0.0001196167,"about_ca_topic_score_gemma":0.000018183904,"teacher_disagreement_score":0.006438038,"about_ca_system_score_codex":0.000009766781,"about_ca_system_score_gemma":0.000044637236,"threshold_uncertainty_score":0.97048515},"labels":[],"label_agreement":null},{"id":"W1988328127","doi":"10.1016/j.jalgebra.2013.08.003","title":"Finite dimensional irreducible representations of elementary unitary Lie algebras over quantum tori","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; University of Alberta","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; University of Alberta","keywords":"Mathematics; Unitary state; Pure mathematics; Torus; Representation of a Lie group; Quantum; (g,K)-module; Lie algebra; Representation theory of SU; Algebra over a field; Irreducible representation; Fundamental representation; Maximal torus; Lie conformal algebra; Adjoint representation of a Lie algebra; Quantum mechanics; Geometry; Physics","score_opus":0.027083136278422033,"score_gpt":0.297793387973106,"score_spread":0.270710251694684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988328127","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99613965,0.00036493983,0.00037232976,0.0007426539,0.0017016896,0.00022599792,0.000009173697,0.000017249042,0.000426342],"genre_scores_gemma":[0.99369913,0.00004243209,0.005148886,0.00025911944,0.0005902372,0.000006766442,0.000006973653,0.00003652442,0.00020995112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975128,0.00011025144,0.001129398,0.0001914855,0.0007682487,0.000287824],"domain_scores_gemma":[0.9969089,0.0008011584,0.0011560197,0.0004201328,0.00051866996,0.0001951178],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003494858,0.0002218691,0.0005033239,0.00023566619,0.00010438857,0.000041426698,0.0003854001,0.00011448492,0.0025579443],"category_scores_gemma":[0.00047988349,0.00017820376,0.0003048582,0.00028831893,0.000089699286,0.00056715566,0.00013138035,0.00035790322,0.000018253559],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014150755,0.00053341326,0.0040587094,0.00010150656,0.00067687285,0.000035023844,0.0009464147,0.00022277926,0.003450894,0.89793205,0.09114565,0.00075516634],"study_design_scores_gemma":[0.001082643,0.00033542296,0.0074986867,0.00010574784,0.00013986032,0.000057585257,0.0004242205,0.00031892819,0.0024579156,0.9870594,0.00032970757,0.00018985501],"about_ca_topic_score_codex":0.00017146331,"about_ca_topic_score_gemma":0.000004176432,"teacher_disagreement_score":0.09081594,"about_ca_system_score_codex":0.00006819692,"about_ca_system_score_gemma":0.000190033,"threshold_uncertainty_score":0.99835384},"labels":[],"label_agreement":null},{"id":"W1988558766","doi":"10.1016/j.jpaa.2006.08.013","title":"On bimeasurings II","year":2006,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; Dalhousie University","funders":"","keywords":"Coalgebra; Bialgebra; Mathematics; Algebra over a field; Universal algebra; Pure mathematics; Hopf algebra","score_opus":0.014134142538734448,"score_gpt":0.23665008999055792,"score_spread":0.22251594745182346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988558766","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922147,0.0001482374,0.00028588,0.00024440113,0.00026002497,0.00007207055,6.505404e-7,0.000015160744,0.006758889],"genre_scores_gemma":[0.99825525,0.0000078911735,0.000714415,0.00013938162,0.000669951,0.0000015867051,2.853464e-7,0.000017309783,0.00019394579],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990761,0.000011041888,0.0003437614,0.00010376397,0.00031063164,0.00015466893],"domain_scores_gemma":[0.99937665,0.00010472524,0.00028340565,0.00011350599,0.000053257383,0.00006842429],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019527707,0.00013546817,0.0002729971,0.00007693665,0.00012539828,0.000036012505,0.00012786499,0.000086116546,0.000051405226],"category_scores_gemma":[0.000026389049,0.00009646887,0.000086909495,0.000078236735,0.000029712503,0.00005219118,0.00003849393,0.00023314284,0.0000024829344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058655718,0.00007109417,0.000021756437,0.000014627964,0.000027006461,0.0000064518413,0.00008306357,0.000008477568,0.00090493314,0.99108213,0.006715837,0.001005971],"study_design_scores_gemma":[0.0007613254,0.00016383774,0.00032422467,0.000029755425,0.000040095256,0.00004529794,0.00003604258,0.0000023955868,0.0037178833,0.9936479,0.0011210978,0.00011017313],"about_ca_topic_score_codex":0.0000019045741,"about_ca_topic_score_gemma":0.0000010391691,"teacher_disagreement_score":0.006564943,"about_ca_system_score_codex":0.000018798657,"about_ca_system_score_gemma":0.00002368115,"threshold_uncertainty_score":0.39338866},"labels":[],"label_agreement":null},{"id":"W1988818775","doi":"10.1007/s10468-009-9181-2","title":"The Quiver of an Algebra Associated to the Mantaci-Reutenauer Descent Algebra and the Homology of Regular Semigroups","year":2009,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Quiver; Coxeter group; Representation theory; Cellular algebra; Group algebra; Symmetric algebra; Algebra over a field; Pure mathematics; Symmetric group; Filtered algebra; Combinatorics; Algebra representation","score_opus":0.013438106096566085,"score_gpt":0.2821030387872354,"score_spread":0.2686649326906693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988818775","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9933826,0.0011123304,0.0009820566,0.0031743953,0.00025499042,0.00072510215,0.000006010507,0.000027337803,0.0003351749],"genre_scores_gemma":[0.9985973,0.00026655963,0.00015510169,0.0005189931,0.000092997165,0.000023616773,0.000005283425,0.000019127867,0.00032098373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99760705,0.0009235771,0.0005350273,0.0003086089,0.00036008857,0.00026565383],"domain_scores_gemma":[0.9968534,0.001803404,0.00039528267,0.0006940892,0.00016970793,0.00008411809],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017382021,0.00020475498,0.0003906565,0.000054842254,0.00042471176,0.0000614813,0.0004147745,0.0001317915,0.000024074456],"category_scores_gemma":[0.00063464575,0.00009611691,0.000119389326,0.00024630426,0.00065016194,0.00012161411,0.00014792413,0.00019013516,0.00000102188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043202238,0.00006197545,0.00016451455,0.000010936905,0.00016243897,0.0000018296402,0.004040746,0.00000938992,0.00035630117,0.9857932,0.00047537766,0.008491314],"study_design_scores_gemma":[0.0013059739,0.00019521553,0.013714236,0.000027901546,0.00016350263,0.0000221829,0.002418115,0.00014949907,0.003376691,0.9784186,0.000081990715,0.00012611538],"about_ca_topic_score_codex":0.00007413005,"about_ca_topic_score_gemma":0.000032435073,"teacher_disagreement_score":0.013549721,"about_ca_system_score_codex":0.00001702909,"about_ca_system_score_gemma":0.000026039112,"threshold_uncertainty_score":0.3919534},"labels":[],"label_agreement":null},{"id":"W1988978635","doi":"10.1090/s1088-4165-2011-00385-x","title":"Finite generation of Tate cohomology","year":2011,"lang":"en","type":"preprint","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Alexander von Humboldt-Stiftung; National Science Foundation","keywords":"Mathematics; Indecomposable module; Cohomology; Conjecture; Pure mathematics; Finitely-generated abelian group; Group cohomology; Cohomology ring; Variety (cybernetics); Converse; Ideal (ethics); Ring (chemistry); Combinatorics; Discrete mathematics; Equivariant cohomology; Geometry","score_opus":0.09106563312138118,"score_gpt":0.3372604732593015,"score_spread":0.2461948401379203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988978635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8707983,0.00006846575,0.12505832,0.00018030492,0.00059224624,0.0008391534,0.00003464973,0.000058458925,0.002370077],"genre_scores_gemma":[0.9799596,0.000055561544,0.019246925,0.00009827552,0.00014972776,0.00006050221,0.000010596329,0.000047911934,0.00037088388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971612,0.00071076205,0.000975078,0.00040138335,0.0005215008,0.00023004715],"domain_scores_gemma":[0.9943048,0.0017150376,0.0023824968,0.0012832852,0.00025269156,0.000061722916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009000152,0.00030133763,0.0010393481,0.00003673779,0.000089058114,0.000014966098,0.00077407435,0.00019973915,0.00025364003],"category_scores_gemma":[0.001238181,0.00021091085,0.0009868217,0.00024518077,0.0013476697,0.00004161833,0.0008376107,0.0004429586,0.0000041568055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059392514,0.00017373863,0.00012670671,0.0004779631,0.00048084886,2.8564196e-7,0.004844711,0.00032873146,0.0009956803,0.99111366,0.0007136591,0.00068459753],"study_design_scores_gemma":[0.00021515875,0.00005478552,0.00024685138,0.00010511763,0.00031297517,0.000003386691,0.0007182204,0.0025483388,0.01330122,0.98230404,0.0000035107848,0.00018641024],"about_ca_topic_score_codex":0.000058776808,"about_ca_topic_score_gemma":8.678992e-7,"teacher_disagreement_score":0.1091613,"about_ca_system_score_codex":0.00005413929,"about_ca_system_score_gemma":0.00011257563,"threshold_uncertainty_score":0.86006945},"labels":[],"label_agreement":null},{"id":"W1989211270","doi":"10.1007/s10468-014-9474-y","title":"The Dixmier-Moeglin Equivalence for Cocommutative Hopf Algebras of Finite Gelfand-Kirillov Dimension","year":2014,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Noetherian; Bounded function; Algebraically closed field; Hopf algebra; Conjecture; Prime ideal; Prime (order theory); Pure mathematics; Equivalence (formal languages); Finitely-generated abelian group; Discrete mathematics; Dimension (graph theory); Combinatorics; Algebra over a field; Mathematical analysis","score_opus":0.028750015645219843,"score_gpt":0.32322504378004474,"score_spread":0.2944750281348249,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989211270","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95187306,0.0006603171,0.04439908,0.0004619453,0.0006546136,0.00083561405,0.000011660637,0.000057232148,0.0010464564],"genre_scores_gemma":[0.9974056,0.00015806427,0.0014391585,0.00012760978,0.00015377431,0.00008010904,0.0000112815,0.000033543125,0.00059088855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982,0.0003986394,0.0004992846,0.00033606897,0.0002943335,0.0002716748],"domain_scores_gemma":[0.9913829,0.0074274456,0.0003941053,0.0005041634,0.00020755973,0.000083827064],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011581271,0.00021148118,0.00034597566,0.000057275523,0.0005398699,0.000058689708,0.00026298672,0.000113654154,0.00003304286],"category_scores_gemma":[0.0017028889,0.00013705036,0.00015128394,0.00014128123,0.00038931862,0.00013950384,0.00014950399,0.00013543443,0.0000029105918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024347205,0.000032582913,0.00026391167,0.000056535362,0.000095044896,2.602224e-7,0.0016065079,0.000024971685,0.00057079695,0.98537517,0.00034844226,0.0113822995],"study_design_scores_gemma":[0.0010323484,0.00019652984,0.0007790378,0.000047242578,0.00009940788,0.0000035825728,0.0010303602,0.0010810925,0.008799573,0.9862612,0.00049233524,0.00017728531],"about_ca_topic_score_codex":0.00001612666,"about_ca_topic_score_gemma":0.000004964671,"teacher_disagreement_score":0.04553249,"about_ca_system_score_codex":0.000014665797,"about_ca_system_score_gemma":0.000026454709,"threshold_uncertainty_score":0.55887514},"labels":[],"label_agreement":null},{"id":"W1989241301","doi":"10.1142/s0218196707004098","title":"ON AUTOMORPHISMS OF CATEGORIES OF UNIVERSAL ALGEBRAS","year":2007,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Israel Science Foundation; Israel Academy of Sciences and Humanities; McMaster University","keywords":"Mathematics; Automorphism; Functor; Variety (cybernetics); Pure mathematics; Algebra over a field","score_opus":0.01822019773730268,"score_gpt":0.29881937150174326,"score_spread":0.2805991737644406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989241301","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94293284,0.000057166602,0.055554487,0.00014376437,0.000942195,0.000043765296,0.000002432571,0.0000060369343,0.00031733158],"genre_scores_gemma":[0.99665487,0.000012705354,0.0031471362,0.000030970823,0.00013099458,1.2659751e-7,0.0000019495099,0.000007965882,0.000013301222],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987857,0.000025971767,0.00053430354,0.00007223348,0.0005065287,0.00007526484],"domain_scores_gemma":[0.9980925,0.00044875374,0.00072059646,0.000049827628,0.00064292084,0.00004541776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031810772,0.000087554705,0.00021577362,0.00023078822,0.000020400334,0.000012911693,0.0001742486,0.000055493514,0.000023197807],"category_scores_gemma":[0.00012369738,0.00007449275,0.00008522639,0.00008322957,0.00007888085,0.00012828509,0.000031419786,0.000101746,3.3135538e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030085654,0.000090302,0.0003988285,0.000016342958,0.00017173834,0.000017127903,0.00089880335,0.00023785897,0.0005385019,0.9890517,0.00015474061,0.008123212],"study_design_scores_gemma":[0.00095672935,0.00038121786,0.004112248,0.00007461583,0.00003511512,0.0000598645,0.00027783404,0.00032345147,0.007578444,0.98611695,0.000022898368,0.000060632075],"about_ca_topic_score_codex":0.000013667938,"about_ca_topic_score_gemma":0.000002281619,"teacher_disagreement_score":0.053722028,"about_ca_system_score_codex":0.000040523875,"about_ca_system_score_gemma":0.000058446305,"threshold_uncertainty_score":0.30377263},"labels":[],"label_agreement":null},{"id":"W1990182438","doi":"10.1016/s0019-3577(02)80008-8","title":"Affine Kac-Moody Lie algebras as torsors over the punctured line","year":2002,"lang":"en","type":"article","venue":"Indagationes Mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Affine transformation; Pure mathematics; Affine Lie algebra; Realization (probability); Lie algebra; Homogeneous; Algebra over a field; Combinatorics; Current algebra","score_opus":0.04530511709584609,"score_gpt":0.29201633557798123,"score_spread":0.24671121848213515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990182438","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97275215,0.00028252948,0.0025880358,0.0036171612,0.0010832642,0.0010549413,0.000009610417,0.0003785107,0.018233823],"genre_scores_gemma":[0.9912721,0.000021452239,0.00216828,0.0005301953,0.00078859477,0.000105779895,0.0000074693135,0.00008473591,0.0050213793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975501,0.00010679465,0.00072944653,0.00038651546,0.00078958424,0.00043759352],"domain_scores_gemma":[0.9973526,0.001009004,0.0003713736,0.00097345875,0.00015816095,0.00013539143],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00037598558,0.00042021452,0.0005003206,0.00010129434,0.00037463196,0.00017233245,0.0006168946,0.00023002796,0.007458225],"category_scores_gemma":[0.0011864614,0.00025998882,0.00023232888,0.00042299004,0.00014983404,0.00022021709,0.00015448821,0.00033957517,0.00057204394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000121961975,0.00020547996,0.00002814442,0.000091610775,0.00011926113,0.000005875835,0.0033079067,0.000012641474,0.0001052623,0.98466897,0.010256547,0.0011861179],"study_design_scores_gemma":[0.00068986043,0.00009329179,0.00020077324,0.000073602154,0.00012252091,0.00004209381,0.00024825678,0.0016560864,0.00094517117,0.9921594,0.0034306634,0.00033824492],"about_ca_topic_score_codex":0.000014135991,"about_ca_topic_score_gemma":0.000010663109,"teacher_disagreement_score":0.018519988,"about_ca_system_score_codex":0.000071894865,"about_ca_system_score_gemma":0.00003112737,"threshold_uncertainty_score":0.9999852},"labels":[],"label_agreement":null},{"id":"W1991008735","doi":"10.1016/j.jalgebra.2006.05.007","title":"Classification of simple weight Virasoro modules with a finite-dimensional weight space","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Vetenskapsrådet; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Swedish Foundation for International Cooperation in Research and Higher Education; Royal Swedish Academy of Sciences","keywords":"Mathematics; Virasoro algebra; Simple (philosophy); Corollary; Simple module; Pure mathematics; Lattice (music); Algebra over a field; Space (punctuation); Algebra representation; Cellular algebra; Computer science; Physics","score_opus":0.0152392142376958,"score_gpt":0.24762564954791513,"score_spread":0.23238643531021932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991008735","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99185836,0.00025607744,0.006310422,0.00044631748,0.0003119097,0.00011031833,0.000005473208,0.00001587667,0.00068521453],"genre_scores_gemma":[0.98934007,0.000011398527,0.009907978,0.000030510382,0.0005285235,0.000002102717,0.0000035690837,0.00003080639,0.00014503056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998229,0.000067384346,0.00068775285,0.00014823867,0.000666446,0.0002011585],"domain_scores_gemma":[0.99780077,0.0004439102,0.00098946,0.00026879867,0.000415234,0.000081816455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025727518,0.00019066014,0.0004397696,0.00015460837,0.00007321146,0.000025057494,0.00023758107,0.000117256066,0.0001568533],"category_scores_gemma":[0.000113512346,0.00012929767,0.00016712782,0.00021362976,0.00008597036,0.00020378504,0.000034479977,0.0002395967,0.0000031052743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030834455,0.00026577257,0.0023745263,0.00005375367,0.00012394042,0.000021798049,0.00011595659,0.0003382498,0.0038022525,0.98489827,0.0073584034,0.00033872505],"study_design_scores_gemma":[0.0013581351,0.00034495103,0.008828205,0.000096017815,0.0001242516,0.00008571739,0.000047231908,0.0006637459,0.00796033,0.9787987,0.0015182771,0.00017444068],"about_ca_topic_score_codex":0.000020528221,"about_ca_topic_score_gemma":0.000011583216,"teacher_disagreement_score":0.006453679,"about_ca_system_score_codex":0.000057928642,"about_ca_system_score_gemma":0.000118091266,"threshold_uncertainty_score":0.5272606},"labels":[],"label_agreement":null},{"id":"W1991302542","doi":"10.1080/00927870701649416","title":"Central Extensions of Steinberg Lie Superalgebras of Small Rank","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Lie superalgebra; Pure mathematics; Rank (graph theory); Simple Lie group; Homology (biology); Lie group; Combinatorics; Algebra over a field; Affine Lie algebra","score_opus":0.07444475038293479,"score_gpt":0.3353449505863103,"score_spread":0.2609002002033755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991302542","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99123764,0.0013118244,0.002648318,0.00032562195,0.00025033034,0.00035329032,0.000008338082,0.000044653287,0.003820004],"genre_scores_gemma":[0.9725618,0.00033747105,0.026889097,0.000045339915,0.000031607702,0.000012503934,0.000012336161,0.000028682187,0.00008120833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981888,0.00014170111,0.0009242062,0.00018212033,0.00022151253,0.00034165755],"domain_scores_gemma":[0.9957765,0.0012904194,0.00027456394,0.0023633086,0.00020558505,0.0000896552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006389577,0.00017161931,0.00043443628,0.0002180515,0.00009403603,0.000008697372,0.0012260627,0.00015867986,0.00009060171],"category_scores_gemma":[0.00046961114,0.00016708774,0.00015088993,0.0005233636,0.00032176246,0.000079209414,0.0004745011,0.0003200047,0.0000022571528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030992745,0.00031087993,0.004191674,0.0000457851,0.00003626335,0.0000011296991,0.0011175091,0.0000046993514,0.0008014943,0.99170417,0.00012840502,0.0016270021],"study_design_scores_gemma":[0.00085256726,0.0000577784,0.016767023,0.00013904266,0.00004384695,0.000005421256,0.00044959274,0.000118166274,0.0046923924,0.9762929,0.0004022018,0.00017903557],"about_ca_topic_score_codex":0.00014848972,"about_ca_topic_score_gemma":0.0003252991,"teacher_disagreement_score":0.024240779,"about_ca_system_score_codex":0.0000619902,"about_ca_system_score_gemma":0.000094140945,"threshold_uncertainty_score":0.68136406},"labels":[],"label_agreement":null},{"id":"W1991404205","doi":"10.1016/j.nuclphysb.2008.02.017","title":"Logarithmic <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi>M</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> minimal models, their logarithmic couplings, and duality","year":2008,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Logarithm; Duality (order theory); Mathematics; Physics; Pure mathematics; Mathematical analysis","score_opus":0.027110410378155862,"score_gpt":0.2425612080368446,"score_spread":0.21545079765868874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991404205","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98505384,0.0008744296,0.0010319778,0.0004660846,0.0022228237,0.00021794802,0.0007858245,0.0006839361,0.008663117],"genre_scores_gemma":[0.98839897,0.0011024656,0.0036895617,0.0013022143,0.0029773414,0.0005559227,0.00062677416,0.0012372773,0.000109457535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.98805946,0.00046789335,0.0024864336,0.0028087634,0.0031536366,0.0030237867],"domain_scores_gemma":[0.9914898,0.0016100381,0.0024302478,0.0026915073,0.00044668964,0.0013316891],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0017745376,0.0016981451,0.0010207292,0.0004224715,0.0025525505,0.0014288791,0.0027159639,0.0029188094,0.0021740906],"category_scores_gemma":[0.00091426924,0.0025924053,0.0021149195,0.0011237563,0.0021074293,0.0018132031,0.0026396343,0.0028472156,0.0010930325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013398988,0.00077041285,0.000014944714,0.0010437233,0.0018333853,0.00055763277,0.0043241614,0.00216029,0.0016448501,0.95300174,0.030760277,0.002548686],"study_design_scores_gemma":[0.0053396784,0.0026579723,0.000060219147,0.0013687871,0.0021932463,0.0016797474,0.0035342986,0.28125995,0.17621127,0.5182592,0.0035341778,0.0039014057],"about_ca_topic_score_codex":0.0018772164,"about_ca_topic_score_gemma":0.00033343953,"teacher_disagreement_score":0.43474248,"about_ca_system_score_codex":0.00008706398,"about_ca_system_score_gemma":0.0012715826,"threshold_uncertainty_score":0.99968475},"labels":[],"label_agreement":null},{"id":"W1991419242","doi":"10.1016/j.geomphys.2008.03.002","title":"Integration over the Pauli quantum group","year":2008,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Pauli matrices; Pauli exclusion principle; Group (periodic table); Diagonal; Pure mathematics; Quantum group; Algebra over a field; Mathematical physics; Quantum mechanics; Physics; Geometry","score_opus":0.03460028411854488,"score_gpt":0.2787521109754106,"score_spread":0.2441518268568657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991419242","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98336685,0.00022183602,0.015591491,0.000101877195,0.0005432652,0.000037870373,8.968043e-7,0.000004365247,0.00013157136],"genre_scores_gemma":[0.9985172,0.00013585051,0.00041049885,0.000094422496,0.0007989947,4.5826823e-7,3.471947e-7,0.0000073516176,0.00003483685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993832,0.00003776621,0.00021813743,0.00005087757,0.00022608302,0.00008392296],"domain_scores_gemma":[0.99929583,0.00023618611,0.00024805625,0.000103348764,0.000077379394,0.00003921617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018741483,0.00008069933,0.00016638704,0.000020528658,0.00013925321,0.000021191596,0.000107191474,0.00004237094,0.000019532796],"category_scores_gemma":[0.00008020002,0.0000445451,0.0000907915,0.00015827334,0.00005360612,0.00015419316,0.000023269087,0.0002367938,7.071329e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044921166,0.0000716673,0.0006859097,0.000015109092,0.00006523265,0.000009335209,0.00090467144,0.0000083346295,0.00024695383,0.9901436,0.00278541,0.005018845],"study_design_scores_gemma":[0.0003151304,0.00015100815,0.005818036,0.000021287407,0.000033996253,0.0001075934,0.00012330902,0.00020535702,0.00026356388,0.9922479,0.0006504898,0.0000623353],"about_ca_topic_score_codex":0.0000040013547,"about_ca_topic_score_gemma":3.9954435e-7,"teacher_disagreement_score":0.015180993,"about_ca_system_score_codex":0.000011976425,"about_ca_system_score_gemma":0.000018130906,"threshold_uncertainty_score":0.18164964},"labels":[],"label_agreement":null},{"id":"W1991422561","doi":"10.1007/s11425-006-2056-7","title":"B(0, N)-graded Lie superalgebras coordinatized by quantum tori","year":2006,"lang":"en","type":"article","venue":"Science in China Series A Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Torus; Mathematics; Extension (predicate logic); Lie superalgebra; Pure mathematics; Quantum; Class (philosophy); Graded Lie algebra; Lie algebra; Algebra over a field; Physics; Computer science; Quantum mechanics; Current algebra; Affine Lie algebra; Geometry; Artificial intelligence; Programming language","score_opus":0.01282323168767827,"score_gpt":0.2678618200093726,"score_spread":0.2550385883216943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991422561","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99371624,0.00009329062,0.0006932244,0.0006694081,0.0010651561,0.00047944934,0.0000095175665,0.00018661849,0.0030870675],"genre_scores_gemma":[0.9874194,0.000015313737,0.011043798,0.000037716294,0.00013905264,0.00005014165,0.000004899489,0.000048161055,0.0012415084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967987,0.00004883119,0.00080735685,0.00054574566,0.001000284,0.00079907314],"domain_scores_gemma":[0.9984855,0.0002595382,0.00026180732,0.00073375955,0.0001254595,0.00013390071],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00095094857,0.00038646738,0.0006007924,0.0002210978,0.00039952892,0.00029777858,0.0010454813,0.00014854407,0.00013887657],"category_scores_gemma":[0.0007348026,0.00032209372,0.00011317364,0.0013390711,0.00073630124,0.0008304285,0.00024496895,0.00030134877,0.000013484535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013101415,0.00023670973,0.00025628682,0.0001058106,0.0000045231773,0.0000068426225,0.0014536285,0.000005009577,0.0028452869,0.9923068,0.002715027,0.000050950635],"study_design_scores_gemma":[0.00062768965,0.00010084976,0.00036261967,0.00007956392,0.000015015955,0.000032108954,0.0007499427,0.0007925024,0.0055383067,0.9909835,0.00031488558,0.0004030222],"about_ca_topic_score_codex":0.00020147701,"about_ca_topic_score_gemma":0.000051021205,"teacher_disagreement_score":0.010350574,"about_ca_system_score_codex":0.0002213281,"about_ca_system_score_gemma":0.00019702091,"threshold_uncertainty_score":0.9999231},"labels":[],"label_agreement":null},{"id":"W1991988774","doi":"10.1080/00927870802278529","title":"Group Gradings on<i>G</i><sub>2</sub>","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebraically closed field; Abelian group; Pure mathematics; Zero (linguistics); Group (periodic table); Algebra over a field; Simple (philosophy); Type (biology); Combinatorics; Discrete mathematics","score_opus":0.04750992067062485,"score_gpt":0.3170952650716206,"score_spread":0.26958534440099574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991988774","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.987262,0.00036196085,0.00036902016,0.002867489,0.00023999056,0.00033108974,0.000002345053,0.00018582227,0.0083802445],"genre_scores_gemma":[0.9948693,0.00027642932,0.0037601634,0.00091904897,0.000066008186,0.000046057015,0.000012562382,0.00002552762,0.000024910609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870723,0.00013499998,0.00040332813,0.00024516447,0.00022237477,0.00028688696],"domain_scores_gemma":[0.99687725,0.0005128516,0.00013174389,0.002349908,0.000048592417,0.00007965648],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029505123,0.00019966674,0.00026437215,0.00016790669,0.00022643573,0.00005572883,0.0013644021,0.00013206221,0.000014617813],"category_scores_gemma":[0.00026208977,0.00019683034,0.0001021468,0.0004489371,0.00011217998,0.00013225451,0.00019944315,0.0004656254,0.00004359356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011028123,0.00023763443,0.00008125805,0.0000046840446,0.000009422603,0.000001285573,0.00031775748,5.4997435e-7,0.00090285006,0.9874646,0.001355288,0.009613659],"study_design_scores_gemma":[0.0004945972,0.00009812099,0.001652483,0.000065438035,0.000013469709,0.0000053067192,0.000053208547,0.000072391085,0.0019089155,0.99416894,0.0012539394,0.00021320302],"about_ca_topic_score_codex":0.0000059189933,"about_ca_topic_score_gemma":0.000020449608,"teacher_disagreement_score":0.009400456,"about_ca_system_score_codex":0.000113577786,"about_ca_system_score_gemma":0.000027689957,"threshold_uncertainty_score":0.8026508},"labels":[],"label_agreement":null},{"id":"W1992053006","doi":"10.1134/1.1561971","title":"On a modification of the boundary-state formalism in off-shell string theory","year":2003,"lang":"en","type":"article","venue":"Journal of Experimental and Theoretical Physics Letters","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"String field theory; Non-critical string theory; String phenomenology; Formalism (music); String cosmology; Heterotic string theory; Relationship between string theory and quantum field theory","score_opus":0.013641506200632094,"score_gpt":0.26556951368978077,"score_spread":0.2519280074891487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992053006","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9973652,0.0001298082,0.0014604358,0.00013930885,0.00023347513,0.000092741546,0.0000012555927,0.0000021191506,0.0005756891],"genre_scores_gemma":[0.99951524,0.0000059584136,0.0001584803,0.00026095755,0.00004321569,0.0000016769565,1.08058515e-7,0.000010545553,0.000003810263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909735,0.00014317545,0.00031707625,0.000079135,0.00023857888,0.00012465853],"domain_scores_gemma":[0.9993536,0.00023754344,0.00021623884,0.00012821172,0.0000236062,0.0000408144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029788504,0.00010559009,0.00019422667,0.000027485637,0.000050855928,0.000020135487,0.00012929068,0.00002861429,0.00001738082],"category_scores_gemma":[0.00006413358,0.00006482523,0.00010655955,0.000071124006,0.00030541362,0.00008849748,0.000029170646,0.00020007648,2.340049e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012928044,0.00012327736,0.000029004497,0.0000084036365,0.000021111839,0.0000017530272,0.0011565676,0.000025990219,0.034705833,0.9635561,0.000017014956,0.00022564402],"study_design_scores_gemma":[0.0006138219,0.000093076465,0.00004582493,0.000054253214,0.000010852658,0.000008292694,0.00022423436,0.000040967814,0.15581696,0.8430241,0.000007514816,0.0000601522],"about_ca_topic_score_codex":6.3936767e-7,"about_ca_topic_score_gemma":2.4457478e-8,"teacher_disagreement_score":0.12111112,"about_ca_system_score_codex":0.00004129034,"about_ca_system_score_gemma":0.000017491831,"threshold_uncertainty_score":0.26434964},"labels":[],"label_agreement":null},{"id":"W1992390594","doi":"10.1142/s0219199712500101","title":"AUTOMORPHISMS AND DERIVATIONS OF NILRADICALS OF BOREL SUBALGEBRAS IN KAC–MOODY ALGEBRAS","year":2011,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Automorphism; Pure mathematics; Conjecture; Lie algebra; Simple (philosophy); Generalized Kac–Moody algebra; Field (mathematics); Type (biology); Affine Lie algebra; Algebra over a field; Current algebra","score_opus":0.261945790047465,"score_gpt":0.35601960902392094,"score_spread":0.09407381897645595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992390594","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9820789,0.0016947886,0.0017807148,0.00024698576,0.00007564814,0.00075210916,0.000020478517,0.00005052253,0.013299857],"genre_scores_gemma":[0.92946166,0.00017902585,0.070194475,0.000022976998,0.000005958533,0.00006604366,0.000009556884,0.000031463085,0.000028854236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978015,0.00018690104,0.0014061993,0.00019250612,0.00023150201,0.00018139489],"domain_scores_gemma":[0.9960319,0.0013064296,0.0006274322,0.0018376961,0.00013199681,0.00006455209],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075633964,0.000206297,0.0006677735,0.00032916345,0.000058444955,0.000009879236,0.0010088198,0.00017583641,0.000045288743],"category_scores_gemma":[0.00080954086,0.00020102183,0.000078953926,0.00055807503,0.0005355186,0.00019217194,0.00045022837,0.00028677657,0.0000012665748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012383887,0.0007622102,0.010448744,0.00024232297,0.000036627745,0.0000015373654,0.009126394,5.678425e-7,0.00014562218,0.9789318,0.00011790308,0.00017392224],"study_design_scores_gemma":[0.0008278044,0.00007087704,0.006008833,0.0003683971,0.000024684094,0.000006018652,0.0014535179,0.0011111142,0.0010835584,0.9888191,0.0000450441,0.00018102503],"about_ca_topic_score_codex":0.0001888308,"about_ca_topic_score_gemma":0.00010015118,"teacher_disagreement_score":0.068413764,"about_ca_system_score_codex":0.0000366604,"about_ca_system_score_gemma":0.00016412052,"threshold_uncertainty_score":0.8197432},"labels":[],"label_agreement":null},{"id":"W1992628785","doi":"10.4153/cmb-2011-090-5","title":"Freyd's Generating Hypothesis for Groups with Periodic Cohomology","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Western University","funders":"University of Alberta","keywords":"Subcategory; Cohomology; Sylow theorems; Field (mathematics); Projective test; Statement (logic); Order (exchange)","score_opus":0.056890171097280604,"score_gpt":0.233125516445426,"score_spread":0.1762353453481454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992628785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9514348,0.00006611709,0.022248816,0.0010729422,0.00027593932,0.0011969088,0.00003225505,0.00014162301,0.023530606],"genre_scores_gemma":[0.90104645,8.9046875e-7,0.096731186,0.00087046163,0.00020233096,0.00024217038,0.0000028569357,0.00008257999,0.00082104496],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984525,0.000053918997,0.00035922453,0.00034294056,0.00016783836,0.00062360015],"domain_scores_gemma":[0.9983509,0.0005687768,0.00010808432,0.00042375538,0.000103980325,0.00044451398],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027020316,0.00026603916,0.00044009744,0.00009755078,0.00026042736,0.000049466413,0.00031239443,0.00019382164,0.00901225],"category_scores_gemma":[0.0007343425,0.00020876758,0.00011393234,0.00008750448,0.00016471592,0.000024667717,0.00002716509,0.00015787991,0.00043310222],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027126865,0.000037040296,0.000039204595,0.00011524303,0.000062037834,0.000029438512,0.0011347772,4.5960059e-7,0.000019052914,0.99322134,0.0048868293,0.00042744644],"study_design_scores_gemma":[0.0005331259,0.00019495723,0.000037613696,0.000051566836,0.0000859656,0.00008689618,0.00030241683,0.00015420643,0.00028041354,0.9935171,0.004428604,0.00032712132],"about_ca_topic_score_codex":0.000574734,"about_ca_topic_score_gemma":0.001186401,"teacher_disagreement_score":0.07448237,"about_ca_system_score_codex":0.00011191477,"about_ca_system_score_gemma":0.00019726362,"threshold_uncertainty_score":0.99189365},"labels":[],"label_agreement":null},{"id":"W1993291315","doi":"10.1088/0305-4470/34/19/316","title":"Conserved charges of non-Yangian type for the Frahm-Polychronakos spin chain","year":2001,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and General","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Yangian; Conserved quantity; Chain (unit); Spin (aerodynamics); Conservation law; Type (biology)","score_opus":0.04208913410327897,"score_gpt":0.3204430593450549,"score_spread":0.27835392524177593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993291315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9701175,0.0002524713,0.028382117,0.00061449053,0.00030634546,0.00021938629,0.000004599894,0.0000047047743,0.00009839247],"genre_scores_gemma":[0.99071634,0.00006998895,0.00785504,0.00009906823,0.00093428546,0.000005870984,5.926621e-7,0.000020476984,0.00029832392],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990131,0.00002401964,0.00046175686,0.00008610266,0.0002399221,0.00017508538],"domain_scores_gemma":[0.9987513,0.00044107361,0.00035836836,0.00016634185,0.0002039103,0.00007899546],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002667418,0.00013976976,0.00041963576,0.000024426921,0.000077388366,0.000024952787,0.00019802115,0.000058056874,0.000044198165],"category_scores_gemma":[0.00014864313,0.000079687336,0.00019080314,0.00010601605,0.00009557513,0.00006128868,0.00004197302,0.00013474589,0.0000010728376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012855403,0.00017126118,0.00009670583,0.00019475266,0.00018905249,0.0000030995102,0.00072456984,0.000020133713,0.001773318,0.99227107,0.0014128342,0.0030146502],"study_design_scores_gemma":[0.00082244887,0.0003250675,0.00024702898,0.0000749979,0.00012480738,0.000041222098,0.000087711014,0.0070276577,0.0022623853,0.9885974,0.00028582098,0.0001034686],"about_ca_topic_score_codex":0.000003445314,"about_ca_topic_score_gemma":0.0000011799924,"teacher_disagreement_score":0.02059886,"about_ca_system_score_codex":0.000011175454,"about_ca_system_score_gemma":0.00004874866,"threshold_uncertainty_score":0.32495552},"labels":[],"label_agreement":null},{"id":"W1994005829","doi":"10.4153/cmb-2003-050-8","title":"Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":102,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Verma module; Virasoro algebra; Zero (linguistics); Pure mathematics; Algebra over a field; Lie algebra; Algebra representation; Cellular algebra","score_opus":0.044670272855737,"score_gpt":0.2689963058237328,"score_spread":0.2243260329679958,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994005829","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85962915,0.00012391258,0.0025579475,0.004800278,0.0007574906,0.0011174049,0.00008166213,0.0000765751,0.13085558],"genre_scores_gemma":[0.9843477,0.0000019972035,0.0026351924,0.0004076705,0.000037190468,0.000037963604,0.0000027334956,0.000046808003,0.012482735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981449,0.0001791908,0.00054865377,0.00028920377,0.0003830505,0.00045500434],"domain_scores_gemma":[0.9977332,0.0006793385,0.00018044368,0.0009084973,0.00011740473,0.00038114868],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00030886495,0.0002272724,0.00037398975,0.000071981856,0.00026283044,0.000030971274,0.00042870766,0.00016960807,0.012496258],"category_scores_gemma":[0.0026656936,0.000167108,0.00022332203,0.00025444137,0.0002199425,0.000021665153,0.000076419376,0.00020398971,0.00060094683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036148406,0.00003335132,0.000105657244,0.00006797868,0.000040504012,0.000004750801,0.0003071537,0.0000037663565,0.00007327038,0.9690224,0.030299481,0.000038073966],"study_design_scores_gemma":[0.00037196177,0.00001589252,0.0003013946,0.00006270224,0.000059851052,0.000040500763,0.000110415625,0.00002016718,0.0017203741,0.9767835,0.020317871,0.00019537899],"about_ca_topic_score_codex":0.00064084196,"about_ca_topic_score_gemma":0.0010510762,"teacher_disagreement_score":0.12471856,"about_ca_system_score_codex":0.00022532475,"about_ca_system_score_gemma":0.00025917857,"threshold_uncertainty_score":0.9884065},"labels":[],"label_agreement":null},{"id":"W1994189698","doi":"10.1090/s0002-9947-09-04828-4","title":"Multiloop realization of extended affine Lie algebras and Lie tori","year":2009,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine Lie algebra; Lie conformal algebra; Pure mathematics; Lie algebra; Realization (probability); Killing form; Adjoint representation of a Lie algebra; Affine transformation; Non-associative algebra; Isomorphism (crystallography); Algebra over a field; Generalized Kac–Moody algebra; Current algebra","score_opus":0.01817150115201149,"score_gpt":0.28837742580705633,"score_spread":0.27020592465504484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994189698","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7598737,0.000050362603,0.23818354,0.0007068584,0.000095318195,0.0003834209,0.000012776246,0.000070822825,0.0006231791],"genre_scores_gemma":[0.977107,0.00006326786,0.022513533,0.00009737231,0.00003485441,0.0000075007642,6.499683e-7,0.000017122138,0.00015868961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988191,0.000055100187,0.0004504202,0.00017691408,0.000319715,0.00017873365],"domain_scores_gemma":[0.99871075,0.00032911453,0.00035648717,0.0004436058,0.00009332384,0.00006671504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001798784,0.00016635198,0.0004773305,0.000020169271,0.00011678176,0.000010934186,0.00023949517,0.00006756892,0.00009458726],"category_scores_gemma":[0.00010948045,0.00011529533,0.0003209214,0.00034386976,0.00040082738,0.000068329755,0.000015567752,0.0001521316,7.248709e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048744983,0.00054253725,0.00002156148,0.00020212699,0.0001597678,1.395681e-7,0.0024867852,0.00003293525,0.003831728,0.98203754,0.00029315276,0.010342968],"study_design_scores_gemma":[0.0003749956,0.00019352681,0.0009887937,0.00006423972,0.0001803842,0.0000056621902,0.000564811,0.0011087949,0.004534249,0.9918381,0.000020097781,0.00012632026],"about_ca_topic_score_codex":0.000028925366,"about_ca_topic_score_gemma":0.0000014829003,"teacher_disagreement_score":0.2172333,"about_ca_system_score_codex":0.000032561897,"about_ca_system_score_gemma":0.00003058994,"threshold_uncertainty_score":0.4701607},"labels":[],"label_agreement":null},{"id":"W1994571300","doi":"10.1016/s0022-4049(03)00068-9","title":"Structurable tori and extended affine Lie algebras of type BC1","year":2003,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Torus; Pure mathematics; Involution (esoterism); Affine transformation; Lie algebra; Maximal torus; Algebra over a field; Geometry; Fundamental representation","score_opus":0.01741054652113153,"score_gpt":0.258152717193457,"score_spread":0.24074217067232548,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994571300","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9952954,0.0013028203,0.00015303533,0.0000784531,0.0004941849,0.00013430112,0.0000017642689,0.000010567672,0.0025294858],"genre_scores_gemma":[0.99555594,0.00017997311,0.003810839,0.000055499582,0.00024500932,0.0000013016605,5.2348537e-7,0.000024456707,0.0001264773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987319,0.00003563926,0.00054567074,0.00016308816,0.00031136893,0.00021230796],"domain_scores_gemma":[0.99887997,0.0001624611,0.00047541576,0.00018292802,0.00015141383,0.00014782838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031257435,0.00020437255,0.0005390305,0.00009074767,0.000079256744,0.000041594336,0.00014023276,0.00014390734,0.00018158577],"category_scores_gemma":[0.00014195165,0.00015137368,0.00007443227,0.00016704865,0.00007526,0.00010636401,0.00004231832,0.00026667354,7.494581e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000992171,0.00006279466,0.00009189299,0.00008039732,0.00011165949,0.0000060067937,0.0003173555,0.000002815336,0.0037336377,0.9925414,0.0009656982,0.0019871285],"study_design_scores_gemma":[0.0011882749,0.0003154438,0.0003937326,0.000039106846,0.00012226585,0.00014913036,0.000347617,0.0000041700773,0.009367892,0.9866088,0.0012970805,0.00016647251],"about_ca_topic_score_codex":0.0000013733052,"about_ca_topic_score_gemma":0.0000015111932,"teacher_disagreement_score":0.005932582,"about_ca_system_score_codex":0.000017880417,"about_ca_system_score_gemma":0.00007590093,"threshold_uncertainty_score":0.61728394},"labels":[],"label_agreement":null},{"id":"W1994576809","doi":"10.1007/bf03025312","title":"Victor kac and robert moody: their paths to kac-moody lie algebras","year":2002,"lang":"en","type":"article","venue":"The Mathematical Intelligencer","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Lie algebra; Algebra over a field; Mathematics; Kac–Moody algebra; Pure mathematics; Mathematical physics; Lie conformal algebra; Adjoint representation of a Lie algebra","score_opus":0.05780713202378317,"score_gpt":0.2944016281099018,"score_spread":0.2365944960861186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994576809","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86564016,0.0013727618,0.06740337,0.0061021997,0.0012461902,0.002471243,0.000025786496,0.0005459174,0.055192392],"genre_scores_gemma":[0.99169475,0.00010819444,0.0033212686,0.00076948135,0.00037743055,0.000108175984,9.528804e-7,0.000087307315,0.003532451],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975846,0.00012018315,0.00068239233,0.000484388,0.00051256886,0.0006158999],"domain_scores_gemma":[0.9970478,0.0014100418,0.0001379489,0.00097195327,0.000111228124,0.00032105442],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00046994037,0.00046513957,0.0006053954,0.0000797049,0.00029194215,0.00017419114,0.0007554337,0.00020620892,0.0041948785],"category_scores_gemma":[0.0005845342,0.00026815737,0.00019238084,0.0003282895,0.00023185894,0.00011695766,0.0003158088,0.0003936156,0.00072099245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021429287,0.00016683986,0.000008742533,0.00009551885,0.00008098852,0.000004297994,0.0088332,0.0000037783702,0.00013089181,0.9803447,0.004740265,0.005569354],"study_design_scores_gemma":[0.00013867591,0.0001650322,0.000011073834,0.00012004377,0.00007981193,0.000032987697,0.00063032965,0.0021816194,0.002757696,0.9887132,0.0047878535,0.000381684],"about_ca_topic_score_codex":0.000018420204,"about_ca_topic_score_gemma":0.000017260767,"teacher_disagreement_score":0.1260546,"about_ca_system_score_codex":0.000057650726,"about_ca_system_score_gemma":0.000019630037,"threshold_uncertainty_score":0.99997705},"labels":[],"label_agreement":null},{"id":"W1994628674","doi":"10.1088/1126-6708/2004/10/045","title":"Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle","year":2004,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Université de Montréal; Centre de Recherches Mathématiques","keywords":"Dilaton; Sigma; Invariant (physics); Sigma model; Field equation","score_opus":0.028665258415756685,"score_gpt":0.2449919605204458,"score_spread":0.21632670210468913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994628674","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8924374,0.0003229513,0.1060449,0.00026459867,0.00061343884,0.00006995507,0.000018054694,0.000013527562,0.00021516313],"genre_scores_gemma":[0.9917627,0.000042222833,0.007644001,0.00011788183,0.0003741195,0.0000016864421,0.000004850285,0.00002895166,0.000023605582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978667,0.00003657585,0.00082621037,0.00017107328,0.00083335256,0.0002660739],"domain_scores_gemma":[0.9978341,0.00025107147,0.0009794118,0.00025579028,0.0005024535,0.00017719703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031344208,0.0002573292,0.00067152095,0.000116015406,0.00016543908,0.0000326539,0.00028884312,0.0001548818,0.000015415213],"category_scores_gemma":[0.00007939963,0.00020065752,0.00022590744,0.0002849802,0.00011335886,0.00052321906,0.00019187799,0.00029204835,2.2610126e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001408788,0.00024546092,0.000024610174,0.00003399871,0.0002227847,0.000016483578,0.00015758837,0.015845766,0.0001607818,0.98258,0.000093962495,0.0004776867],"study_design_scores_gemma":[0.0019767864,0.00037632757,0.00017642949,0.00008207468,0.00015620023,0.000078438694,0.000013932877,0.0015560872,0.008060234,0.9872676,0.00004607914,0.0002098187],"about_ca_topic_score_codex":0.00024128874,"about_ca_topic_score_gemma":0.000028566505,"teacher_disagreement_score":0.09932527,"about_ca_system_score_codex":0.0000943714,"about_ca_system_score_gemma":0.00027512125,"threshold_uncertainty_score":0.81825763},"labels":[],"label_agreement":null},{"id":"W1995617247","doi":"10.48550/arxiv.1105.3738","title":"Higher Trivariate Diagonal Harmonics via generalized Tamari Posets","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Diagonal; Pure mathematics; Combinatorics; Algebra over a field; Geometry","score_opus":0.1489921573047311,"score_gpt":0.21955680098562882,"score_spread":0.07056464368089774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995617247","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9558024,0.00015208629,0.031795334,0.000068039575,0.005031996,0.00066986587,0.000054459666,0.00037639696,0.006049469],"genre_scores_gemma":[0.99226993,0.00015340664,0.0012603536,0.00011302038,0.00040253607,0.0000032798278,0.0000471273,0.00009215776,0.005658185],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99754953,0.00022051718,0.00040403064,0.0010993918,0.00017662355,0.00054990075],"domain_scores_gemma":[0.9974914,0.00017058777,0.0005215897,0.001337639,0.00020503916,0.0002737068],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022945515,0.0006195409,0.0008112137,0.00018494533,0.00018413813,0.000070227725,0.0011975006,0.0008426285,0.0011940913],"category_scores_gemma":[0.000051738025,0.0006517452,0.00053518784,0.0002582971,0.00012595943,0.00013989318,0.00149662,0.0009361257,0.00007798279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021348512,0.00020774735,0.00017253375,0.000099851415,0.00042246215,0.00018292855,0.00018222834,0.00082668924,0.000025091365,0.9962649,0.0012983585,0.000103752645],"study_design_scores_gemma":[0.001535573,0.00006804285,0.0005770272,0.00005374828,0.00049495115,0.000004196951,0.000010292782,0.0047834567,0.0001482623,0.9908829,0.00071589276,0.00072567415],"about_ca_topic_score_codex":0.0004126264,"about_ca_topic_score_gemma":0.000018237293,"teacher_disagreement_score":0.036467582,"about_ca_system_score_codex":0.00026269647,"about_ca_system_score_gemma":0.00020988968,"threshold_uncertainty_score":0.99971896},"labels":[],"label_agreement":null},{"id":"W1996336569","doi":"10.2140/gt.2014.18.911","title":"Solvable groups, free divisors and nonisolated matrix singularities II: Vanishing topology","year":2014,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Gravitational singularity; Betti number; Topology (electrical circuits); Matrix (chemical analysis); Type (biology); Homotopy; Variety (cybernetics)","score_opus":0.014557541136138519,"score_gpt":0.2696249518795148,"score_spread":0.2550674107433763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996336569","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9847561,0.00062888366,0.008411869,0.0011984395,0.0024950088,0.000215579,0.000007559936,0.00020073568,0.0020858212],"genre_scores_gemma":[0.99375063,0.000035618916,0.004466332,0.0003144739,0.00048797537,0.000017602677,0.000007704621,0.000046495923,0.0008731503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980303,0.00017213926,0.00043930413,0.00047755046,0.00019523801,0.0006854814],"domain_scores_gemma":[0.9980873,0.0008470983,0.00018271727,0.00067265413,0.00007709336,0.00013317219],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00045161642,0.00030356925,0.0006364408,0.00022537957,0.0005607822,0.00007553811,0.0004719711,0.0004636918,0.0004989661],"category_scores_gemma":[0.0011602329,0.00028817123,0.000099475335,0.0002512618,0.00037833658,0.00015330066,0.00072845875,0.00038475732,0.000009812786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030289153,0.00004929181,0.0016339537,0.00006261224,0.00007629291,0.0000069941375,0.0006043252,0.000008226864,0.00018887933,0.9954683,0.0010576684,0.00081312034],"study_design_scores_gemma":[0.00094946456,0.00042041973,0.0005095282,0.000014409666,0.00007310894,0.00010400243,0.0003185219,0.00036455056,0.00032782747,0.9923845,0.0042202407,0.00031343856],"about_ca_topic_score_codex":0.0004565497,"about_ca_topic_score_gemma":0.0001190768,"teacher_disagreement_score":0.008994544,"about_ca_system_score_codex":0.000048679743,"about_ca_system_score_gemma":0.000031897725,"threshold_uncertainty_score":0.999957},"labels":[],"label_agreement":null},{"id":"W1996382080","doi":"10.4153/cjm-2001-010-x","title":"Tensor Product Realizations of Simple Torsion Free Modules","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Mathematical Society","keywords":"Mathematics; Tensor product; Torsion (gastropod); Simple (philosophy); Pure mathematics; Algebra over a field; Lie algebra","score_opus":0.0377888028915803,"score_gpt":0.2706244933501253,"score_spread":0.232835690458545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996382080","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9899246,0.000267241,0.007076347,0.0003655597,0.0005025876,0.00018483853,0.000022529146,0.000010940599,0.0016453617],"genre_scores_gemma":[0.9779348,0.000032490883,0.021479435,0.00002653647,0.00027278476,0.0000014570038,0.0000017707383,0.000032960885,0.00021778609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986516,0.000036008096,0.0006965429,0.00009205103,0.00028725315,0.0002365087],"domain_scores_gemma":[0.99797636,0.00014712651,0.0005735736,0.00048494732,0.0004916416,0.0003263492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035359655,0.00013914201,0.00038645376,0.00021559498,0.00010502262,0.000028115943,0.00045235513,0.00007919043,0.0001985851],"category_scores_gemma":[0.0019432401,0.00011271979,0.00013373661,0.00023493134,0.00007408834,0.00011135652,0.000022649021,0.00014839196,0.0000019059528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008189327,0.0000965535,0.0015529487,0.00022479122,0.00010410817,0.000050274324,0.0024552455,0.0001830139,0.00013764139,0.9717136,0.02288119,0.00059243274],"study_design_scores_gemma":[0.00035179174,0.00008314402,0.000254005,0.00013719278,0.00008480601,0.00022154191,0.00064472324,0.00028628492,0.00068219076,0.9942522,0.002877959,0.00012413645],"about_ca_topic_score_codex":0.00053323,"about_ca_topic_score_gemma":0.0025653457,"teacher_disagreement_score":0.022538612,"about_ca_system_score_codex":0.000088714085,"about_ca_system_score_gemma":0.0003961815,"threshold_uncertainty_score":0.45965797},"labels":[],"label_agreement":null},{"id":"W1996428917","doi":"10.1080/00927870500243072","title":"Quotients of Incidence Algebras and the Euler Characteristic","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Quotient; Partially ordered set; Quiver; Incidence (geometry); Euler characteristic; Euler's formula; Incidence algebra; Pure mathematics; Connected component; Combinatorics; Simply connected space; Discrete mathematics; Algebra over a field; Division algebra; Subalgebra; Mathematical analysis; Geometry","score_opus":0.04323193711821394,"score_gpt":0.3354939070641133,"score_spread":0.29226196994589937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996428917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9951842,0.00084892346,0.0009769109,0.0005821661,0.00020310658,0.00031068193,0.0000023655837,0.000024760295,0.0018669199],"genre_scores_gemma":[0.99646527,0.00023235923,0.0031007624,0.000097243974,0.000023828252,0.000022757888,0.0000036539275,0.000013887748,0.00004024889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988609,0.00015467436,0.0005022595,0.00013110977,0.00017870836,0.00017236487],"domain_scores_gemma":[0.99577063,0.0023846512,0.00022281095,0.001496429,0.00008565824,0.000039809733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011235,0.000112722126,0.0002500749,0.00008999011,0.00013349066,0.000019914738,0.0009632947,0.000074107105,0.000024584175],"category_scores_gemma":[0.001038795,0.00008225515,0.000047430658,0.00027984043,0.00061092153,0.00008724942,0.000564271,0.00025565087,0.000003456929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003836693,0.00005480092,0.0040536234,0.00001680201,0.000014508879,3.9615492e-7,0.0013770544,1.4058821e-7,0.000027718646,0.9924572,0.00004061765,0.0019187441],"study_design_scores_gemma":[0.0008971292,0.000015155736,0.03687016,0.00006304338,0.000022481252,0.0000061191695,0.00023944702,0.000149374,0.0001422159,0.9612387,0.00026149602,0.00009469547],"about_ca_topic_score_codex":0.000068896836,"about_ca_topic_score_gemma":0.000094716575,"teacher_disagreement_score":0.032816533,"about_ca_system_score_codex":0.000032452717,"about_ca_system_score_gemma":0.000027635555,"threshold_uncertainty_score":0.33542678},"labels":[],"label_agreement":null},{"id":"W1996758324","doi":"10.1080/00927872.2012.700982","title":"Modules Over Cluster-Tilted Algebras Determined by Their Dimension Vectors","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; Agence Nationale de la Recherche; Université de Sherbrooke; University of Missouri","keywords":"Indecomposable module; Mathematics; Dimension (graph theory); Cluster algebra; Conjecture; Cluster (spacecraft); Pure mathematics; Global dimension; Algebra over a field; Combinatorics; Computer science; Physics","score_opus":0.03273284098512128,"score_gpt":0.29677630654407366,"score_spread":0.26404346555895236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996758324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99518585,0.0006888496,0.000563607,0.0009877223,0.00029404918,0.00076381175,0.000011857294,0.0001852698,0.0013189752],"genre_scores_gemma":[0.9926975,0.00014548415,0.0061892443,0.0003288965,0.00004196381,0.00026032559,0.000060660615,0.00006248096,0.00021347613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981401,0.00030580885,0.000607873,0.00033194185,0.00023172627,0.00038252916],"domain_scores_gemma":[0.9956491,0.0009982385,0.00021292889,0.0029068743,0.00011568802,0.00011718055],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023798773,0.00031064337,0.00038862522,0.00015787265,0.00025839813,0.000105666186,0.0015226236,0.0002148413,0.00035476708],"category_scores_gemma":[0.00030929132,0.000267383,0.00012044551,0.00039045227,0.0002091562,0.00032599946,0.0008488614,0.00041580282,0.00005146558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003292284,0.0007457278,0.0047128345,0.00006181647,0.00013039037,9.1310346e-7,0.0024571838,0.0000109544035,0.0047704224,0.9407498,0.031280186,0.015046823],"study_design_scores_gemma":[0.00091425417,0.00004601327,0.0049206363,0.00007586961,0.000021749565,0.000004445889,0.00018566474,0.0056619123,0.0012365831,0.9844846,0.002076365,0.00037186823],"about_ca_topic_score_codex":0.00025089565,"about_ca_topic_score_gemma":0.00008972431,"teacher_disagreement_score":0.04373481,"about_ca_system_score_codex":0.00013054142,"about_ca_system_score_gemma":0.00003392406,"threshold_uncertainty_score":0.9999778},"labels":[],"label_agreement":null},{"id":"W1997252857","doi":"10.1081/agb-120037354","title":"The Simple Connectedness of a Tame Weakly Shod Algebra","year":2004,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Subcategory; Social connectedness; Pure mathematics; Cohomology; Type (biology); Simply connected space; Graph; Combinatorics; Connected component; Bounded function; Derived category; Algebra over a field; Mathematical analysis","score_opus":0.05557738001248999,"score_gpt":0.3435041350314932,"score_spread":0.2879267550190032,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997252857","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98608184,0.0019425912,0.0015755316,0.0038372779,0.00038692568,0.0007082728,0.000012523225,0.00013511498,0.0053199073],"genre_scores_gemma":[0.994834,0.00031494827,0.0045088925,0.0000939279,0.000035390553,0.00011147567,0.000012253108,0.000033961693,0.000055160235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983794,0.0002030972,0.00065555883,0.000200962,0.00025706147,0.0003039047],"domain_scores_gemma":[0.9948918,0.0015314406,0.00026742768,0.0030793743,0.00016793408,0.000061998544],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049698236,0.00018791443,0.00032065966,0.00009443138,0.00038313968,0.000052928604,0.0022011388,0.00013119362,0.000039308048],"category_scores_gemma":[0.0008471592,0.00014654738,0.00011746419,0.0005702499,0.00045605286,0.00011756998,0.0006539896,0.00038534243,0.000011274524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013831258,0.00014542248,0.0002242217,0.000016142667,0.000033578213,5.8564353e-7,0.0009437721,0.00001945711,0.000110589084,0.9968274,0.00019994787,0.001465017],"study_design_scores_gemma":[0.0007455757,0.000041938238,0.0010053617,0.000059165388,0.000024326275,0.000006185213,0.0006714563,0.00011721137,0.00084935856,0.9941191,0.0021938477,0.00016644411],"about_ca_topic_score_codex":0.00016801123,"about_ca_topic_score_gemma":0.00050599664,"teacher_disagreement_score":0.008752135,"about_ca_system_score_codex":0.000121845376,"about_ca_system_score_gemma":0.00017132703,"threshold_uncertainty_score":0.59760284},"labels":[],"label_agreement":null},{"id":"W1997986399","doi":"10.1016/j.jnt.2014.01.013","title":"Integral points for Drinfeld modules","year":2014,"lang":"en","type":"preprint","venue":"Journal of Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Torsion (gastropod); Pure mathematics; Point (geometry); Finitely-generated abelian group; Orbit (dynamics); Geometry","score_opus":0.03554254607582077,"score_gpt":0.3313465345620399,"score_spread":0.29580398848621914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997986399","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7377767,0.00027555614,0.23731174,0.0006880602,0.014982248,0.00077255606,0.00013931104,0.000080934,0.007972889],"genre_scores_gemma":[0.96527,0.000023967043,0.03033467,0.00020975329,0.0031620103,0.000021780063,0.000008861838,0.00008992894,0.00087906513],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980528,0.000220776,0.0008716505,0.00020960605,0.00038431873,0.0002608459],"domain_scores_gemma":[0.9959751,0.0016307156,0.0013172277,0.00047872402,0.00046273542,0.00013550739],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014562644,0.00032931185,0.0008570347,0.00009220103,0.00006321618,0.00008181804,0.00070944533,0.00041940552,0.0009057301],"category_scores_gemma":[0.0015890186,0.00024350951,0.00080497866,0.000032850116,0.00007260393,0.000072392184,0.0003165704,0.0009817197,0.00001056935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026522757,0.00006872806,0.0000330964,0.00024915877,0.0003512549,0.0000060197935,0.00036396214,0.000030255891,0.000004952885,0.96786356,0.028107863,0.002655928],"study_design_scores_gemma":[0.0007019974,0.000085587904,0.000037710914,0.0005170792,0.00022862788,0.00010405356,0.00010322133,0.00010949883,0.0001399975,0.9928046,0.0049155704,0.00025206356],"about_ca_topic_score_codex":0.000002278244,"about_ca_topic_score_gemma":0.0000010758923,"teacher_disagreement_score":0.22749326,"about_ca_system_score_codex":0.00010405905,"about_ca_system_score_gemma":0.00013189572,"threshold_uncertainty_score":0.99300295},"labels":[],"label_agreement":null},{"id":"W1998889013","doi":"10.1016/j.jalgebra.2007.08.002","title":"Almost laura algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Sherbrooke","keywords":"Mathematics; Generalization; Pure mathematics; Skew; Class (philosophy); Regular polygon; Nilpotent; Algebra over a field; Computer science; Mathematical analysis; Geometry","score_opus":0.027487975715567055,"score_gpt":0.31121452533645677,"score_spread":0.2837265496208897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998889013","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9868474,0.00034869977,0.006205093,0.00034218753,0.0020954856,0.00009454724,8.1945393e-7,0.000031331063,0.004034452],"genre_scores_gemma":[0.992201,0.000023798713,0.005945846,0.00027471513,0.0012993368,4.5327178e-7,3.6779966e-7,0.000036452122,0.0002180365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796176,0.000040891984,0.00087698625,0.00012971267,0.0006277543,0.000362903],"domain_scores_gemma":[0.99802667,0.00046936056,0.00068505335,0.00027050966,0.00031855592,0.00022988004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011856273,0.00019382194,0.0004206612,0.00018574306,0.00009152766,0.00004989235,0.00041906149,0.00014876897,0.00033425094],"category_scores_gemma":[0.0004710964,0.00014774271,0.0002722673,0.00025211516,0.00005815529,0.0002430499,0.000062481944,0.00042572993,0.000017481456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014500099,0.00011031629,0.0006717485,0.000026472027,0.00014819377,0.00016871061,0.00051471527,0.0000019793545,0.0006668897,0.98403215,0.009859122,0.0036547217],"study_design_scores_gemma":[0.00089339056,0.00024389832,0.0015838272,0.000056493343,0.00007288009,0.0004741098,0.00036903328,0.0000047831363,0.004570072,0.9880258,0.003523358,0.0001823894],"about_ca_topic_score_codex":0.0000029697878,"about_ca_topic_score_gemma":0.000003455997,"teacher_disagreement_score":0.006335764,"about_ca_system_score_codex":0.00008170988,"about_ca_system_score_gemma":0.000096677846,"threshold_uncertainty_score":0.6024773},"labels":[],"label_agreement":null},{"id":"W1999028668","doi":"10.1016/j.jpaa.2007.08.001","title":"Nakayama oriented pullbacks and stably hereditary algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field; Mathematics education","score_opus":0.013374484566083993,"score_gpt":0.2574117234665493,"score_spread":0.24403723890046528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999028668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.992762,0.00089817186,0.0037797266,0.00025345144,0.0006079578,0.00016259853,0.0000028521629,0.000024442166,0.0015087645],"genre_scores_gemma":[0.9952802,0.00008138922,0.0032613147,0.00025559324,0.0009996525,0.0000016264862,0.0000013366159,0.000032881027,0.0000860092],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834096,0.000033700235,0.0006497256,0.00020478875,0.00043178443,0.00033904405],"domain_scores_gemma":[0.9986746,0.0002853376,0.0004220445,0.00016215154,0.00017110011,0.00028476838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010188962,0.00024349535,0.00047330363,0.00013631106,0.00013864295,0.00006125308,0.00016404329,0.0001866924,0.00006995529],"category_scores_gemma":[0.000097899516,0.00018573986,0.00008984374,0.00017261213,0.000098079596,0.00015904573,0.00009209972,0.00043208347,0.000001757756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001662029,0.00008154208,0.00039060338,0.00007858286,0.00015552099,0.00008801932,0.0008482542,4.3774915e-7,0.0009927908,0.98415726,0.0030178707,0.010022888],"study_design_scores_gemma":[0.0015720609,0.00021279954,0.0020844135,0.000050500574,0.00012189984,0.0004052791,0.0012853445,0.0000035036423,0.0029454003,0.98985976,0.0012216842,0.00023733958],"about_ca_topic_score_codex":0.000003787036,"about_ca_topic_score_gemma":0.0000075413805,"teacher_disagreement_score":0.009785549,"about_ca_system_score_codex":0.000029662166,"about_ca_system_score_gemma":0.000051158724,"threshold_uncertainty_score":0.7574251},"labels":[],"label_agreement":null},{"id":"W1999380102","doi":"10.4153/cmb-2002-002-3","title":"Polycharacters of Cocommutative Hopf Algebras","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Memorial University of Newfoundland; Division of Mathematical Sciences; Canadian Mathematical Society; National Science Foundation","keywords":"Mathematics; Hopf algebra; Skew; Pure mathematics; Field (mathematics); Algebra over a field","score_opus":0.03883399887705281,"score_gpt":0.2530536188554205,"score_spread":0.2142196199783677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999380102","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91556484,0.00016601365,0.00082444807,0.006558608,0.00033739212,0.0006551773,0.0000432733,0.00009865126,0.0757516],"genre_scores_gemma":[0.99474007,0.000005747177,0.0023487788,0.00049933855,0.000076586584,0.000025642885,0.0000025264235,0.00004325677,0.0022580542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847215,0.00007931497,0.0004773306,0.0002247248,0.00028579438,0.00046067845],"domain_scores_gemma":[0.9982084,0.0005971663,0.00015397492,0.00045836347,0.00008779901,0.0004943224],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00019798828,0.0002244358,0.0004584651,0.00013982262,0.00012100069,0.000029908193,0.00036077457,0.00015385394,0.041099437],"category_scores_gemma":[0.0007091181,0.00020009311,0.00015088553,0.00016595313,0.00018015964,0.00003110069,0.000041449595,0.00022573682,0.0021023692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046425375,0.00005645059,0.000023769335,0.000090515845,0.000050314393,0.000017301954,0.0012063334,3.2929537e-7,0.000023833616,0.97401506,0.023976289,0.0005351458],"study_design_scores_gemma":[0.0003866017,0.00006275613,0.000051673698,0.00009150998,0.000042144347,0.000023813604,0.00028299604,0.00016089188,0.0002908296,0.9899383,0.008421599,0.00024686335],"about_ca_topic_score_codex":0.00045230467,"about_ca_topic_score_gemma":0.00012773366,"teacher_disagreement_score":0.07917524,"about_ca_system_score_codex":0.000108667286,"about_ca_system_score_gemma":0.000051893592,"threshold_uncertainty_score":0.99867463},"labels":[],"label_agreement":null},{"id":"W1999835177","doi":"10.1080/00927870008827082","title":"Un groupe unipotent universel","year":2000,"lang":"fr","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Unipotent; Mathematics; Quotient; Algebraic group; Affine transformation; Lie algebra; Pure mathematics; Algebra over a field; Algebraic number; Combinatorics","score_opus":0.03893390491817761,"score_gpt":0.29204751421440517,"score_spread":0.25311360929622756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999835177","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.727811,0.057323046,0.0006629488,0.033773154,0.0026042317,0.0013811826,0.00006038595,0.00031212054,0.17607196],"genre_scores_gemma":[0.95266926,0.0147599,0.01387508,0.00036379474,0.00014597042,0.000044261134,0.000041417516,0.00007017163,0.018030144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976163,0.0005747497,0.00067798607,0.000348897,0.0002677514,0.0005143088],"domain_scores_gemma":[0.99506086,0.00059110706,0.00014889793,0.0039396705,0.00010049126,0.00015898458],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003918892,0.00033166562,0.00041693146,0.00015604918,0.0003922403,0.00008596051,0.0023335065,0.00036572426,0.0071648317],"category_scores_gemma":[0.00010364221,0.00038486577,0.00017735049,0.000840168,0.0005856901,0.00029431866,0.0005647948,0.00083675614,0.0006281087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016221311,0.00048465462,0.00019517782,0.000037808946,0.000066048284,0.0000082743845,0.001477947,0.000059596212,0.0000036026531,0.8740819,0.0011427145,0.12242603],"study_design_scores_gemma":[0.0009341086,0.00004923894,0.0014942024,0.00021855385,0.000090658614,0.000024549225,0.00036112743,0.0024457497,0.0000276588,0.8148189,0.1791855,0.00034974745],"about_ca_topic_score_codex":0.00042258514,"about_ca_topic_score_gemma":0.00016033302,"teacher_disagreement_score":0.2248583,"about_ca_system_score_codex":0.00035579075,"about_ca_system_score_gemma":0.00013929146,"threshold_uncertainty_score":0.99986035},"labels":[],"label_agreement":null},{"id":"W1999845414","doi":"10.4153/cmb-2000-019-1","title":"Sur l’annulation de certains modules de cohomologie d’André-Quillen","year":2000,"lang":"fr","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Humanities; Art","score_opus":0.02149221660613228,"score_gpt":0.2487096402841602,"score_spread":0.2272174236780279,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999845414","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7908711,0.0022405607,0.0055701793,0.061753813,0.00070371816,0.0009953819,0.0001397955,0.0001901495,0.1375353],"genre_scores_gemma":[0.9303036,0.00023917847,0.0077648903,0.002702575,0.00047716562,0.000062112566,0.000021336155,0.00012785231,0.05830132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966126,0.0004020071,0.00067152624,0.00047337922,0.00034832567,0.0014921608],"domain_scores_gemma":[0.9967683,0.000984124,0.00012183613,0.0006760496,0.0001372358,0.00131244],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00088417553,0.0004762875,0.0006408286,0.00012717291,0.0002668145,0.00022255321,0.0005096576,0.0007180648,0.10258316],"category_scores_gemma":[0.0014952917,0.00049300445,0.00026414587,0.00018831382,0.0003076134,0.000088902416,0.000046550318,0.0005738987,0.0072117085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002409434,0.00013329808,0.00008384702,0.0003746792,0.000092076436,0.00016806166,0.0014330943,0.000623633,0.0000067517135,0.9413766,0.047244553,0.008439307],"study_design_scores_gemma":[0.00053702225,0.00008062711,0.00037089732,0.00032464706,0.00011752101,0.00019747199,0.00013209296,0.0062968605,0.000041528176,0.81115174,0.18028593,0.00046363118],"about_ca_topic_score_codex":0.0101382295,"about_ca_topic_score_gemma":0.0027561556,"teacher_disagreement_score":0.13943247,"about_ca_system_score_codex":0.0011691751,"about_ca_system_score_gemma":0.0010806129,"threshold_uncertainty_score":0.99975216},"labels":[],"label_agreement":null},{"id":"W2000763349","doi":"10.1007/pl00001400","title":"The root system and the core of an extended affine Lie algebra","year":2001,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; University of Alberta","funders":"","keywords":"Affine transformation; Mathematics; Modulo; Affine Lie algebra; Lie algebra; Pure mathematics; Lie conformal algebra; Algebra over a field; Generalized Kac–Moody algebra; Discrete mathematics; Current algebra","score_opus":0.02071349270829863,"score_gpt":0.2724841018103374,"score_spread":0.25177060910203874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000763349","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9874991,0.0005541718,0.0008273645,0.00067015894,0.00024331333,0.000880786,0.0000026600578,0.00014792237,0.009174496],"genre_scores_gemma":[0.9978513,0.000029556966,0.0010856151,0.00002157147,0.00017809638,0.000059074693,0.000001120175,0.0000400934,0.0007335361],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983751,0.00014030121,0.00053125405,0.00022992237,0.00039781956,0.00032556028],"domain_scores_gemma":[0.99746716,0.0012262525,0.0002956993,0.0008000713,0.00012901217,0.000081776525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008381838,0.00022673362,0.00047459622,0.000033250155,0.00035622518,0.000090093665,0.00051672355,0.00009675206,0.0000484898],"category_scores_gemma":[0.00050720735,0.00010983918,0.00010378964,0.00023934519,0.00028360615,0.00008088937,0.00011367559,0.00018193379,0.0000058049986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013996325,0.000053967044,0.0000069007456,0.00015916709,0.000081324346,0.0000030449971,0.0010382098,4.017771e-7,0.000052971343,0.99671745,0.00032959998,0.001416992],"study_design_scores_gemma":[0.0011416657,0.00011086538,0.00005857761,0.00009161817,0.00012081918,0.00016567795,0.00073396857,0.003199568,0.00035169983,0.9936,0.00028465706,0.0001408785],"about_ca_topic_score_codex":0.000014673056,"about_ca_topic_score_gemma":0.000032590782,"teacher_disagreement_score":0.010352208,"about_ca_system_score_codex":0.000029480148,"about_ca_system_score_gemma":0.000045923407,"threshold_uncertainty_score":0.44791117},"labels":[],"label_agreement":null},{"id":"W2001390523","doi":"10.1216/jca-2014-6-1-17","title":"On growth in minimal totally acyclic complexes","year":2014,"lang":"en","type":"article","venue":"Journal of Commutative Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Complete intersection; Noetherian; Local ring; Polynomial ring; Commutative property; Dimension (graph theory); Pure mathematics; Intersection (aeronautics); Commutative ring; Noetherian ring; Ring (chemistry); Discrete mathematics; Combinatorics; Polynomial; Algebra over a field; Mathematical analysis","score_opus":0.025593020870516184,"score_gpt":0.30432639327644756,"score_spread":0.2787333724059314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001390523","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913775,0.00005587441,0.0019537657,0.00065079343,0.00037216346,0.000107189975,0.0000015789891,0.0000129264,0.005468253],"genre_scores_gemma":[0.9968845,0.000008096903,0.0025083548,0.00034627767,0.00019342772,0.0000026778334,6.8719277e-7,0.00002691278,0.00002901551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981217,0.00035690443,0.0007001823,0.00012170912,0.00045905786,0.00024046355],"domain_scores_gemma":[0.9967047,0.0021804078,0.0005924924,0.00019363218,0.00022225133,0.00010651438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006470841,0.00020414931,0.0005604552,0.00021908687,0.00007119944,0.000043718654,0.00045145987,0.0000826223,0.00010133214],"category_scores_gemma":[0.0011721731,0.00015736635,0.00017849416,0.00019132672,0.000086654014,0.00018357982,0.00007433104,0.00051304814,0.000009703898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023268013,0.00017330526,0.00031421537,0.000021886035,0.000063242886,0.00001763278,0.0016056792,0.000021598687,0.00018278198,0.9955584,0.0012116475,0.0005969616],"study_design_scores_gemma":[0.0017784366,0.000946158,0.004903863,0.00013468716,0.000027094895,0.000050825314,0.0002579875,0.00010651151,0.0015709536,0.9899358,0.00012329793,0.00016438066],"about_ca_topic_score_codex":0.000008964745,"about_ca_topic_score_gemma":0.0000077186305,"teacher_disagreement_score":0.005622565,"about_ca_system_score_codex":0.00007957583,"about_ca_system_score_gemma":0.000051975767,"threshold_uncertainty_score":0.6417213},"labels":[],"label_agreement":null},{"id":"W2001780447","doi":"10.1007/s00013-012-0381-3","title":"Cohomological invariants of central simple algebras of degree 4","year":2012,"lang":"de","type":"article","venue":"Archiv der Mathematik","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Degree (music); Simple (philosophy); Pure mathematics; Base (topology); Field (mathematics); Square root; Algebra over a field; Geometry; Mathematical analysis; Epistemology","score_opus":0.06600973653285411,"score_gpt":0.29146971726417453,"score_spread":0.22545998073132043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001780447","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97924167,0.002658513,0.009759283,0.00009174355,0.0015925483,0.0008507277,0.00011369358,0.00006062993,0.0056311875],"genre_scores_gemma":[0.988803,0.00009982419,0.010225186,0.00006367647,0.00056526717,0.000016789614,0.000025076306,0.000078841316,0.0001223193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99600655,0.0003010164,0.0014443884,0.00037037433,0.00075694994,0.0011207057],"domain_scores_gemma":[0.9960884,0.0013891076,0.0009820733,0.00102714,0.00012088285,0.0003924025],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006091555,0.0005155751,0.0013028083,0.00014179127,0.00010871679,0.000024711488,0.0007516856,0.00031734773,0.0015257474],"category_scores_gemma":[0.0007866531,0.00042246672,0.00045126854,0.00025961132,0.0004243908,0.00020586378,0.0005073984,0.00040085168,0.00010229168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001005156,0.0011403162,0.0046441467,0.0012107027,0.0006715439,0.000006263822,0.008962288,0.0000045168877,0.0006207204,0.97956073,0.0019251554,0.0011530708],"study_design_scores_gemma":[0.0010804426,0.00021018821,0.010998055,0.0002540152,0.0005821412,0.000033986245,0.00038233286,0.00025285903,0.0069694915,0.9785366,0.0002812071,0.00041868462],"about_ca_topic_score_codex":0.00005577087,"about_ca_topic_score_gemma":0.000003787291,"teacher_disagreement_score":0.009561345,"about_ca_system_score_codex":0.0000467241,"about_ca_system_score_gemma":0.0001413132,"threshold_uncertainty_score":0.99982274},"labels":[],"label_agreement":null},{"id":"W2001828082","doi":"10.1088/1751-8113/42/12/122001","title":"Particles in RSOS paths","year":2009,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Business; Environmental science","score_opus":0.01659634597007854,"score_gpt":0.28063701194286544,"score_spread":0.2640406659727869,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001828082","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918019,0.00005564428,0.0063975956,0.00077295577,0.00006409137,0.000079875594,4.7866934e-7,0.000009210492,0.00081821915],"genre_scores_gemma":[0.9945126,0.000012033174,0.0051421556,0.00010385911,0.00021389914,0.000001041095,6.4483e-8,0.000009392508,0.000004949081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988055,0.00006530254,0.00051603693,0.00010019082,0.0003026736,0.00021028594],"domain_scores_gemma":[0.9990074,0.0005026226,0.00015274377,0.00013059056,0.000067321715,0.00013928986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044526503,0.00013331452,0.00042070018,0.000035382986,0.000029474977,0.000039450802,0.00013909992,0.00007156287,0.00007157818],"category_scores_gemma":[0.0004234327,0.000087008484,0.000115589566,0.0001068349,0.00018566135,0.0001003601,0.00003084201,0.00026107195,0.0000031020902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000069705384,0.00031289092,0.00002407255,0.000028212064,0.00001379653,0.000026010295,0.0004793254,0.000001078236,0.00014603022,0.9932326,0.000025334084,0.0056409393],"study_design_scores_gemma":[0.00063883694,0.00037185184,0.00012021177,0.00011645596,0.000037977865,0.00007815835,0.00009502309,0.00085787027,0.0009877586,0.9965865,0.0000056152658,0.00010373391],"about_ca_topic_score_codex":1.10993305e-7,"about_ca_topic_score_gemma":3.998297e-8,"teacher_disagreement_score":0.005537206,"about_ca_system_score_codex":0.000016224092,"about_ca_system_score_gemma":0.000024436875,"threshold_uncertainty_score":0.35481033},"labels":[],"label_agreement":null},{"id":"W2002476289","doi":"10.1515/crelle-2014-0053","title":"Which abelian tensor categories are geometric?","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Functor; Mathematics; Embedding; Zero (linguistics); Pure mathematics; Abelian group; Tensor (intrinsic definition); Duality (order theory); Coherent sheaf; Perspective (graphical); Tensor field; Class (philosophy); Abelian category; Tensor contraction; Algebra over a field; Tensor product; Linguistics; Computer science; Artificial intelligence; Geometry; Mathematical analysis; Exact solutions in general relativity","score_opus":0.026644904923198078,"score_gpt":0.3027322501630177,"score_spread":0.2760873452398196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002476289","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86091816,0.021543622,0.073260844,0.012090985,0.0084006945,0.001012252,0.000030332538,0.00049695437,0.022246176],"genre_scores_gemma":[0.9743903,0.0048031076,0.010865106,0.00028120502,0.0053100763,0.000013806653,0.0000039075303,0.00024719804,0.004085265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9947494,0.00036854757,0.0017851313,0.00047146392,0.0015251335,0.0011002879],"domain_scores_gemma":[0.9937429,0.0010805156,0.0022391032,0.00075671653,0.0013295615,0.00085119356],"candidate_categories":["metaepi_narrow","sts","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0023681321,0.0007829007,0.001429073,0.0009082366,0.0014756111,0.0011412713,0.0010928477,0.0003836232,0.00051497825],"category_scores_gemma":[0.0036024689,0.0005460955,0.000673097,0.0010187835,0.00012459494,0.0006118161,0.00022760869,0.0019032492,0.0000862913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00062739075,0.0019264114,0.0023448044,0.0016732562,0.004008505,0.00088475656,0.0063031605,0.00054890214,0.0013580475,0.8321628,0.12810127,0.020060701],"study_design_scores_gemma":[0.0021582544,0.0005113113,0.00019247568,0.00065711373,0.00048542503,0.0033326508,0.0010516386,0.00026022873,0.0016061036,0.94573975,0.04323675,0.00076827285],"about_ca_topic_score_codex":0.000014148097,"about_ca_topic_score_gemma":0.00004178689,"teacher_disagreement_score":0.11357699,"about_ca_system_score_codex":0.00028898564,"about_ca_system_score_gemma":0.00018827953,"threshold_uncertainty_score":0.99989563},"labels":[],"label_agreement":null},{"id":"W2003357269","doi":"10.1016/j.jalgebra.2013.04.012","title":"Fraction representations and highest-weight-like representations of the Virasoro algebra","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Verma module; Mathematics; Fraction (chemistry); Parameterized complexity; Pure mathematics; Quotient; Algebra over a field; Integer (computer science); Combinatorics; Lie algebra; Computer science","score_opus":0.019711811728297328,"score_gpt":0.28739537415749833,"score_spread":0.267683562429201,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003357269","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9940564,0.00021851563,0.0011413875,0.0022408986,0.0010980254,0.00028986292,0.0000024424792,0.000015445514,0.00093700923],"genre_scores_gemma":[0.9961997,0.000082047656,0.002862867,0.00013497777,0.00033922074,0.0000104367855,6.859471e-7,0.000023184844,0.00034683384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822944,0.00014483779,0.00077764195,0.0001585146,0.0005193612,0.00017017496],"domain_scores_gemma":[0.9973891,0.00062005775,0.0009996254,0.00044137344,0.00044123686,0.00010862267],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023751962,0.00015338777,0.0003376279,0.000121033736,0.00017847297,0.00007104205,0.0003148444,0.00010912706,0.0003540831],"category_scores_gemma":[0.0005078773,0.000100731086,0.00021414769,0.00026848953,0.00012837576,0.00056412636,0.000106453204,0.0003318,0.000005428775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007235601,0.00032638977,0.018846978,0.00010317233,0.00053064624,0.0000078951,0.0019200579,0.00004760649,0.0091769,0.9151522,0.0510816,0.002734213],"study_design_scores_gemma":[0.00063841173,0.00008700046,0.06419448,0.000056566387,0.00014675102,0.00009936901,0.00051689974,0.00006454415,0.003491132,0.9300642,0.00053230464,0.000108340464],"about_ca_topic_score_codex":0.000110740686,"about_ca_topic_score_gemma":0.0000049489067,"teacher_disagreement_score":0.0505493,"about_ca_system_score_codex":0.000043658674,"about_ca_system_score_gemma":0.00008060234,"threshold_uncertainty_score":0.41076943},"labels":[],"label_agreement":null},{"id":"W2003359803","doi":"10.1016/j.jpaa.2007.06.002","title":"Ext-projectives in suspended subcategories","year":2007,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bounded function; Abelian category; Object (grammar); Abelian group; Pure mathematics; Linguistics; Mathematical analysis; Philosophy","score_opus":0.02234639419814425,"score_gpt":0.2846183372833255,"score_spread":0.2622719430851812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003359803","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993456,0.00033296147,0.00092426495,0.00012469981,0.00030434478,0.00012547818,3.4791174e-7,0.000011158993,0.00472071],"genre_scores_gemma":[0.99819255,0.000032893564,0.0012499602,0.00005810033,0.00039307456,0.0000015232848,2.793628e-7,0.000016284737,0.000055346503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885476,0.000018370365,0.0005014213,0.0001240531,0.00026470795,0.00023666421],"domain_scores_gemma":[0.9992078,0.00023223647,0.0002972914,0.00010825884,0.00006515663,0.00008926754],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068553514,0.00014858544,0.00035545678,0.00016869328,0.0000545348,0.00004091939,0.00015182268,0.00011435473,0.000046363497],"category_scores_gemma":[0.00006766124,0.00011076191,0.000068165806,0.00018985635,0.00005627053,0.00011533961,0.000043755896,0.0003262796,9.938775e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018102798,0.00005667815,0.0006033709,0.000025986226,0.000035650442,0.000030066905,0.001449294,8.5632405e-7,0.0007860897,0.9932585,0.00026376024,0.0033087293],"study_design_scores_gemma":[0.0009917096,0.00008778017,0.0032477686,0.00001997356,0.000025413674,0.00007260577,0.002235731,0.0000013312064,0.005445717,0.98751026,0.00023393957,0.00012776561],"about_ca_topic_score_codex":0.0000027000153,"about_ca_topic_score_gemma":0.000020780197,"teacher_disagreement_score":0.0057482254,"about_ca_system_score_codex":0.000035257584,"about_ca_system_score_gemma":0.000048948805,"threshold_uncertainty_score":0.45167395},"labels":[],"label_agreement":null},{"id":"W2003544574","doi":"10.1016/j.jalgebra.2009.11.044","title":"On the classification of the Grothendieck rings of non-self-dual modular categories","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":61,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Sanitarium Association","keywords":"Mathematics; Modular design; Rank (graph theory); Dual (grammatical number); Object (grammar); Algebra over a field; Pure mathematics; Artificial intelligence; Combinatorics; Linguistics; Computer science","score_opus":0.021317038681719025,"score_gpt":0.2645822680400075,"score_spread":0.24326522935828848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003544574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99674374,0.000053908803,0.00041625052,0.0014354693,0.00042001173,0.00017192503,0.0000012176025,0.0000064263168,0.00075102894],"genre_scores_gemma":[0.9992574,0.000015583815,0.00040124555,0.0001007095,0.0001725535,0.0000013445523,1.13020704e-7,0.000011591773,0.00003947651],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998587,0.000077582095,0.0005926545,0.00007992361,0.0005373097,0.00012550215],"domain_scores_gemma":[0.9980324,0.0002873762,0.0010367273,0.00037235484,0.00023609119,0.00003506353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045850762,0.00012473637,0.0002967047,0.000058553964,0.000081595485,0.000017444481,0.00043834726,0.00007929579,0.000030137575],"category_scores_gemma":[0.00024988412,0.000061529434,0.00022876455,0.00016774001,0.00007465833,0.00009043325,0.000030469517,0.00027078527,8.6938456e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059489936,0.00012842845,0.000098637654,0.000022680993,0.000081728394,0.0000010360025,0.0015466971,0.000022421866,0.005061427,0.9917659,0.0009025812,0.00030894697],"study_design_scores_gemma":[0.00037947725,0.00032721742,0.017307324,0.00007498227,0.00007631536,0.000019679746,0.0002572913,0.0001322519,0.01823182,0.96306473,0.00006507459,0.000063837244],"about_ca_topic_score_codex":0.000004241059,"about_ca_topic_score_gemma":6.640755e-7,"teacher_disagreement_score":0.028701197,"about_ca_system_score_codex":0.000039194038,"about_ca_system_score_gemma":0.00007881238,"threshold_uncertainty_score":0.25090975},"labels":[],"label_agreement":null},{"id":"W2004254975","doi":"10.1007/bf02787402","title":"A unified view of some vertex operator constructions","year":2003,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; University of Saskatchewan","funders":"","keywords":"Mathematics; Affine transformation; Affine Lie algebra; Vertex (graph theory); Affine representation; Pure mathematics; Lie conformal algebra; Algebra over a field; Lie algebra; Vertex operator algebra; Operator algebra; Quantum affine algebra; Operator (biology); Discrete mathematics; Current algebra; Algebra representation; Jordan algebra","score_opus":0.03574696399022216,"score_gpt":0.2941291911145654,"score_spread":0.2583822271243433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004254975","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98985785,0.0008383936,0.0055802027,0.00008881363,0.001389413,0.000208164,0.000005924464,0.00001899623,0.0020122335],"genre_scores_gemma":[0.94498116,0.00011888318,0.054588895,0.000061014325,0.00010099471,0.0000023288637,2.0434875e-7,0.00003559995,0.00011090672],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997997,0.00009920823,0.0011250512,0.000098248056,0.00047812038,0.00020241328],"domain_scores_gemma":[0.9977191,0.000485967,0.000886805,0.0003453458,0.0004350172,0.00012773092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006117924,0.00019427497,0.00069354847,0.00013381377,0.000072575,0.000030843083,0.0003128283,0.00011942014,0.00012308432],"category_scores_gemma":[0.0010116037,0.00014787554,0.00025403066,0.00019928812,0.00011123487,0.00015055954,0.000031390267,0.0002595478,0.000005334123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000079515885,0.00021890074,0.000041988475,0.00023662203,0.00015658177,0.000009316115,0.0006548297,0.000010948485,0.0006234763,0.9973756,0.00036906017,0.00029469255],"study_design_scores_gemma":[0.00096802996,0.00014358506,0.000008059703,0.00028270402,0.00017179131,0.00053862605,0.0020327838,0.000051167794,0.0051444913,0.98976827,0.0007414256,0.00014904619],"about_ca_topic_score_codex":0.0000019287831,"about_ca_topic_score_gemma":9.577509e-7,"teacher_disagreement_score":0.049008694,"about_ca_system_score_codex":0.000046541707,"about_ca_system_score_gemma":0.00022951438,"threshold_uncertainty_score":0.603019},"labels":[],"label_agreement":null},{"id":"W2004359241","doi":"10.1016/j.laa.2009.04.003","title":"Group gradings on superinvolution simple superalgebras","year":2009,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Algebraically closed field; Simple (philosophy); Coprime integers; Pure mathematics; Associative property; Group (periodic table); Field (mathematics); Finite group; Simple group; Order (exchange); Algebra over a field; Discrete mathematics","score_opus":0.026440723225816535,"score_gpt":0.2929251852293082,"score_spread":0.2664844620034917,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004359241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99395335,0.00023371233,0.003413723,0.0006797931,0.00007472882,0.000578891,0.000011990985,0.00021133553,0.0008424794],"genre_scores_gemma":[0.99761665,0.00007778728,0.0009269165,0.0006371977,0.00040288048,0.000095193325,0.000034375906,0.000024011555,0.00018501143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988871,0.000023531491,0.00026745073,0.00035754454,0.00019844132,0.0002659351],"domain_scores_gemma":[0.99929255,0.0001222814,0.00006055651,0.00032280595,0.00005893004,0.00014287244],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000093346716,0.00020309354,0.00021742278,0.00007152182,0.0003094504,0.000047014968,0.00017688399,0.00012406612,0.00007527281],"category_scores_gemma":[0.00005217678,0.00018071856,0.000074611366,0.00022737238,0.000033364835,0.00013393577,0.000032414187,0.00017731398,0.000041734333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011577648,0.00009508216,0.000031219577,0.000012977065,0.00001118462,3.9248476e-7,0.00015038457,4.077671e-7,0.0011922693,0.9953752,0.0004747527,0.0026445528],"study_design_scores_gemma":[0.00036782314,0.00017671837,0.00069202646,0.000009531389,0.000028444187,0.000007200788,0.000050420476,0.00025603367,0.0012068752,0.9870343,0.009955804,0.00021478983],"about_ca_topic_score_codex":0.0000073400847,"about_ca_topic_score_gemma":0.0000024409892,"teacher_disagreement_score":0.009481051,"about_ca_system_score_codex":0.000030454701,"about_ca_system_score_gemma":0.000014415395,"threshold_uncertainty_score":0.7369489},"labels":[],"label_agreement":null},{"id":"W2004583185","doi":"10.1007/jhep08(2013)076","title":"On the integrability of four dimensional $ \\mathcal{N}=2 $ gauge theories in the omega background","year":2013,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Integrable system; Gauge theory; Conformal map; Quantum field theory; Equivalence (formal languages); Torus; Duality (order theory); Conformal field theory; Gauge (firearms)","score_opus":0.028714192581914197,"score_gpt":0.2569509778365473,"score_spread":0.2282367852546331,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004583185","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99590343,0.00003892426,0.0018625271,0.0010384459,0.0004927524,0.00007961088,0.0000023994412,0.0000039662314,0.00057797006],"genre_scores_gemma":[0.9989509,0.000008108305,0.00028304523,0.00033874827,0.00033459594,0.00000807096,5.8364776e-7,0.000014693489,0.0000612263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983353,0.00027893027,0.0005245038,0.000100610625,0.0005949195,0.00016572869],"domain_scores_gemma":[0.99640167,0.002418449,0.00049034494,0.00038174103,0.0002720669,0.00003570084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056365127,0.00016585401,0.00035630504,0.000033037555,0.00007693015,0.000042568787,0.00050402596,0.000069077105,0.000112162685],"category_scores_gemma":[0.00020767137,0.0000727476,0.00021242171,0.0001885545,0.00015853041,0.000161183,0.000058988437,0.00036262942,0.00000226915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051575524,0.00017619379,0.000025949543,0.000010089466,0.000050516166,0.0000024887845,0.00033146807,0.00006579008,0.00005205017,0.99736714,0.0013221501,0.0005445994],"study_design_scores_gemma":[0.00034144433,0.00018881391,0.00068660674,0.00005505641,0.000025032916,0.000014000515,0.00027124854,0.00005788635,0.00092297787,0.99728227,0.000075159245,0.00007951584],"about_ca_topic_score_codex":0.0001608081,"about_ca_topic_score_gemma":0.000009713104,"teacher_disagreement_score":0.003047524,"about_ca_system_score_codex":0.000046402463,"about_ca_system_score_gemma":0.00006597714,"threshold_uncertainty_score":0.2966561},"labels":[],"label_agreement":null},{"id":"W2004878531","doi":"10.1016/j.jalgebra.2008.06.014","title":"Stably triangulated algebras","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field; Triangulated category; Derived category; Functor","score_opus":0.049979011134948244,"score_gpt":0.2889873604407703,"score_spread":0.23900834930582204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004878531","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99590987,0.0003536603,0.00097381824,0.00025873567,0.0013467374,0.00010583308,0.0000013087457,0.000036711248,0.0010132989],"genre_scores_gemma":[0.9942569,0.000072330084,0.0041658753,0.00015019554,0.00075748836,0.0000011311529,5.3855365e-7,0.000036621816,0.0005589037],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809813,0.00008748174,0.0008017808,0.00013147625,0.0006024564,0.00027864572],"domain_scores_gemma":[0.998282,0.00026331388,0.00066326174,0.00027469944,0.0003270153,0.00018968059],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003693941,0.00019392165,0.0005190528,0.00016820108,0.00013244983,0.000026495401,0.00037019845,0.00014023874,0.000469498],"category_scores_gemma":[0.00047660424,0.00014714737,0.0003047855,0.00026642502,0.000076686054,0.0002589837,0.0000495829,0.0003633588,0.00001563935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005105758,0.00034871095,0.0010354352,0.000050392642,0.00055335765,0.0007137517,0.0027773245,0.000020567071,0.0016388077,0.94525915,0.045081507,0.0020104141],"study_design_scores_gemma":[0.0020025184,0.00032085637,0.001409526,0.000041571893,0.00007861319,0.0011914688,0.000097864846,0.00002245588,0.0026560004,0.990221,0.0017611368,0.00019699267],"about_ca_topic_score_codex":0.000006991553,"about_ca_topic_score_gemma":9.154348e-7,"teacher_disagreement_score":0.04496184,"about_ca_system_score_codex":0.00006939925,"about_ca_system_score_gemma":0.00020058396,"threshold_uncertainty_score":0.60004956},"labels":[],"label_agreement":null},{"id":"W2005290431","doi":"10.1016/s0022-4049(99)00101-2","title":"Tilted string algebras","year":2000,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; String (physics); Construct (python library); Pure mathematics; Simple (philosophy); Algebra over a field; Theoretical physics; Computer science; Physics; Mathematical physics; Epistemology","score_opus":0.01763848475673112,"score_gpt":0.2562697631649843,"score_spread":0.23863127840825316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005290431","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9940219,0.00029370358,0.00021043353,0.00022499148,0.00020182386,0.00010266619,0.0000011217858,0.000024830699,0.004918525],"genre_scores_gemma":[0.997291,0.00011405731,0.0015149375,0.00019007271,0.0006114132,0.000002151828,5.101523e-7,0.000024834228,0.00025098483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988051,0.000021886703,0.00048423096,0.00014048051,0.00032434778,0.00022393018],"domain_scores_gemma":[0.99925053,0.00012730471,0.00024479936,0.00014954054,0.00007551696,0.00015230574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023427472,0.00017832272,0.00038291988,0.000076287106,0.000101332305,0.00006617376,0.00020917201,0.00011966252,0.00071345887],"category_scores_gemma":[0.000036204827,0.00013515289,0.000108902255,0.00013923342,0.000042643256,0.000115568335,0.000030776002,0.00031888092,0.000009395942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010160909,0.00005349466,0.00005820249,0.00003197742,0.000098970246,0.000015101188,0.0003985664,0.000005185394,0.0005663212,0.97615474,0.002672842,0.019842992],"study_design_scores_gemma":[0.0009780052,0.000091092385,0.00029478775,0.00003672236,0.000081332546,0.00011641529,0.0001469747,0.0000070808555,0.002662116,0.99366593,0.0017578148,0.00016174836],"about_ca_topic_score_codex":0.0000012879011,"about_ca_topic_score_gemma":8.143335e-7,"teacher_disagreement_score":0.019681243,"about_ca_system_score_codex":0.00002002301,"about_ca_system_score_gemma":0.00003985525,"threshold_uncertainty_score":0.7811874},"labels":[],"label_agreement":null},{"id":"W2005581001","doi":"10.1081/agb-120024874","title":"Submodule Lattice of Generalized Verma Modules","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Verma module; Mathematics; Simple module; Pure mathematics; Quotient; Subalgebra; Lattice (music); Simple (philosophy); Algebra over a field; Lie algebra; Physics","score_opus":0.07506574800010922,"score_gpt":0.34067479638422593,"score_spread":0.2656090483841167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005581001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9832538,0.0009865512,0.0008325256,0.00021401895,0.00021091099,0.00024047091,0.000004175084,0.000049104452,0.0142084705],"genre_scores_gemma":[0.95186514,0.00021436108,0.04767752,0.000049293485,0.00001361703,0.00004327282,0.0000060661105,0.000021899217,0.00010881211],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875885,0.0002998895,0.00043415267,0.00014862834,0.00017931164,0.00017919329],"domain_scores_gemma":[0.99709916,0.000488691,0.00015380146,0.0021086512,0.00010698319,0.000042740267],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003867377,0.000126361,0.000268582,0.000102624,0.00009519291,0.000014886893,0.0008684472,0.00009429619,0.00010017337],"category_scores_gemma":[0.00058424403,0.00012539442,0.00007758893,0.0003313999,0.00015149316,0.00009153064,0.00019142534,0.00021586304,0.000007663988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005036402,0.00013438222,0.00066379283,0.000019474463,0.00001926496,2.9800472e-7,0.00041654686,0.00000970282,0.0001080966,0.99798,0.0002181147,0.00042531223],"study_design_scores_gemma":[0.0006126422,0.000014870124,0.0013466773,0.000029272314,0.00002018593,0.00000329761,0.00013112617,0.00042050457,0.0018846389,0.9940584,0.0013469394,0.00013146683],"about_ca_topic_score_codex":0.0000459996,"about_ca_topic_score_gemma":0.000044052773,"teacher_disagreement_score":0.046844997,"about_ca_system_score_codex":0.00004774774,"about_ca_system_score_gemma":0.000047471553,"threshold_uncertainty_score":0.5113436},"labels":[],"label_agreement":null},{"id":"W2005967621","doi":"10.48550/arxiv.1209.3746","title":"Irreducible Virasoro modules from irreducible Weyl modules","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Verma module; Virasoro algebra; Irreducible element; Differential operator; Pure mathematics; Irreducible representation; Weyl algebra; Mathematics; Polynomial; Operator (biology); Algebra over a field; Lambda; Physics; Algebra representation; Lie algebra; Cellular algebra; Weight; Mathematical analysis; Fundamental representation","score_opus":0.12387771176331576,"score_gpt":0.22424793623241965,"score_spread":0.10037022446910389,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005967621","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97250074,0.0005909318,0.016591959,0.000055838384,0.0041328603,0.0005435495,0.00017370986,0.0004139796,0.0049964245],"genre_scores_gemma":[0.9935533,0.00024775634,0.002150112,0.000041691444,0.0010700794,0.0000050616604,0.000102195336,0.00012403807,0.0027057596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99672127,0.00019367403,0.00045959163,0.0015881652,0.00024187201,0.0007954535],"domain_scores_gemma":[0.99614275,0.00034780917,0.0005361514,0.002388325,0.00019082482,0.00039415492],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002600537,0.00078624056,0.0009498838,0.00025212008,0.00026927283,0.00013796792,0.0014950699,0.0009080996,0.00074685947],"category_scores_gemma":[0.00012992544,0.0008559774,0.00054885214,0.0003409338,0.00020500785,0.0003730913,0.0017498084,0.0010433086,0.00017365452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000108149354,0.0003049132,0.0009348229,0.00017282508,0.00050815457,0.000051522762,0.00055527454,0.011577006,0.000117035095,0.982445,0.0028121218,0.00041318542],"study_design_scores_gemma":[0.00074326247,0.000029506087,0.0008084101,0.0001793401,0.00052040484,0.0000028929771,0.00029925938,0.009723555,0.000731327,0.98532534,0.00070789194,0.0009288328],"about_ca_topic_score_codex":0.001233543,"about_ca_topic_score_gemma":0.000060372884,"teacher_disagreement_score":0.021052558,"about_ca_system_score_codex":0.00035803937,"about_ca_system_score_gemma":0.00016112266,"threshold_uncertainty_score":0.9993891},"labels":[],"label_agreement":null},{"id":"W2006812228","doi":"10.1007/s11005-013-0639-0","title":"Quantum Cohomology of Hypertoric Varieties","year":2013,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quantum cohomology; Equivariant map; Equivariant cohomology; Quantum; Cohomology; Ring (chemistry); Differential (mechanical device); Type (biology); Algebra over a field","score_opus":0.02580094179257031,"score_gpt":0.26168351679333396,"score_spread":0.23588257500076365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006812228","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.952757,0.000016645436,0.04400015,0.0007933221,0.00032327234,0.00034612734,8.8646556e-7,0.000049992424,0.0017126134],"genre_scores_gemma":[0.99198186,0.0000017755046,0.0073239896,0.0004002511,0.00017369563,0.000051876934,9.324372e-7,0.000028622922,0.000036999034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987372,0.00006712483,0.0004509064,0.000185905,0.00027344987,0.00028537534],"domain_scores_gemma":[0.99864465,0.00073352107,0.0001398725,0.00038521658,0.000049129056,0.000047607307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012507696,0.00017824632,0.0004859656,0.0000395063,0.000027805841,0.000017674236,0.00026921678,0.00010065326,0.0002119392],"category_scores_gemma":[0.00019482861,0.00014437993,0.00010319807,0.00017936864,0.00017160052,0.00010713876,0.00008680754,0.00021453586,0.000056912188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004668661,0.00014700434,0.0001514067,0.00019496954,0.000024135597,0.0000023762143,0.00055790984,0.000011319391,0.0017612051,0.9951473,0.0017923173,0.00020541302],"study_design_scores_gemma":[0.00029191212,0.000035674726,0.0001434021,0.000038802074,0.000018924515,0.0000035446408,0.00006702081,0.0014716679,0.0009169734,0.99684864,0.000012300154,0.00015115022],"about_ca_topic_score_codex":0.000025995394,"about_ca_topic_score_gemma":2.7693574e-7,"teacher_disagreement_score":0.039224863,"about_ca_system_score_codex":0.000034838118,"about_ca_system_score_gemma":0.000013498795,"threshold_uncertainty_score":0.5887643},"labels":[],"label_agreement":null},{"id":"W2007790077","doi":"10.1007/s00209-013-1261-7","title":"Equivariant map superalgebras","year":2014,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Equivariant map; Lie superalgebra; Abelian group; Type (biology); Parameterized complexity; Generalization; Scheme (mathematics); Supermatrix; Superalgebra","score_opus":0.02009099345187109,"score_gpt":0.26183944963470346,"score_spread":0.24174845618283236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007790077","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29425848,0.029352065,0.2581109,0.014160897,0.06430925,0.008130376,0.000338649,0.003832501,0.3275069],"genre_scores_gemma":[0.96635103,0.00013918162,0.019512733,0.0008002788,0.0051646433,0.00011542133,0.000053304033,0.00040650152,0.007456901],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99366504,0.0005577259,0.0016522494,0.0012204195,0.0013451069,0.0015594778],"domain_scores_gemma":[0.99479705,0.0012748813,0.0006647235,0.0023663228,0.00027225833,0.00062474015],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0016878654,0.0012072463,0.0016923016,0.00024428862,0.00057911157,0.0005741041,0.001460514,0.0009151451,0.0050367527],"category_scores_gemma":[0.0012683648,0.0010595903,0.00065984204,0.00042374927,0.0002709937,0.00041694407,0.00079205737,0.0010818222,0.008124093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004459338,0.0003293906,0.000051265604,0.0012587059,0.00052698783,0.000021350157,0.0021116624,0.0000072793014,0.00028677224,0.97076815,0.022854544,0.0017392903],"study_design_scores_gemma":[0.0016607612,0.00027501865,0.000051276962,0.0006068516,0.0006509492,0.000030336756,0.00015806188,0.002113654,0.0013545093,0.7323298,0.25963026,0.0011385166],"about_ca_topic_score_codex":0.00006854403,"about_ca_topic_score_gemma":0.0000066983425,"teacher_disagreement_score":0.67209256,"about_ca_system_score_codex":0.000026896298,"about_ca_system_score_gemma":0.00018944911,"threshold_uncertainty_score":0.99918544},"labels":[],"label_agreement":null},{"id":"W2007804342","doi":"10.1093/imrn/rnt231","title":"Global Weyl Modules for Equivariant Map Algebras","year":2014,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Equivariant map; Mathematics; Library science; Algebra over a field; Computer science; Pure mathematics","score_opus":0.13352294477667356,"score_gpt":0.43893919909308454,"score_spread":0.30541625431641095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007804342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51354027,0.00018059858,0.4007201,0.008867771,0.0066540786,0.002559967,0.00021406829,0.00045310816,0.066810034],"genre_scores_gemma":[0.91512954,0.0000048182287,0.082036756,0.000068931164,0.0010427807,0.0001693757,0.000016702441,0.000045966968,0.0014851035],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967647,0.00013384245,0.00055393466,0.00041951143,0.0015436467,0.00058436446],"domain_scores_gemma":[0.9951704,0.003067966,0.00020726268,0.00053551706,0.0008496926,0.00016913797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021666687,0.0002342101,0.00034187676,0.00016986488,0.00025484723,0.00035418637,0.0012640585,0.00015519703,0.00027397316],"category_scores_gemma":[0.004383757,0.00019508548,0.00017741391,0.00018062782,0.00017216655,0.00023700394,0.00038200922,0.00021820684,0.00008887033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034075518,0.0002055034,0.000054052103,0.0002581589,0.0001380823,0.0000016113789,0.00025691348,0.00006946704,0.00004901472,0.99262196,0.00499801,0.0013131688],"study_design_scores_gemma":[0.0006683406,0.00012340293,0.00008575805,0.00011982893,0.000023777146,0.0000046505925,0.00021333132,0.045578066,0.00020582153,0.9432398,0.009535763,0.00020145104],"about_ca_topic_score_codex":0.00003575079,"about_ca_topic_score_gemma":0.000041609368,"teacher_disagreement_score":0.40158927,"about_ca_system_score_codex":0.00020402348,"about_ca_system_score_gemma":0.00007302617,"threshold_uncertainty_score":0.7955355},"labels":[],"label_agreement":null},{"id":"W2008042490","doi":"10.1007/s11005-010-0419-z","title":"The Algebra of Formal Twisted Pseudodifferential Symbols and a Noncommutative Residue","year":2010,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Pseudodifferential operators; Noncommutative geometry; Mathematics; TRACE (psycholinguistics); Algebra over a field; Crossed product; Pure mathematics; Construct (python library); Spectral triple; Noncommutative quantum field theory; Computer science","score_opus":0.014629316128935243,"score_gpt":0.2782522804692972,"score_spread":0.2636229643403619,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008042490","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9858919,0.000007305535,0.012156382,0.0006757813,0.00022708415,0.0003200357,0.0000033520853,0.000027146365,0.00069105264],"genre_scores_gemma":[0.99367875,0.0000021196302,0.0059426725,0.00014183823,0.0001590568,0.00003200061,0.0000012380801,0.000026741009,0.000015590478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998619,0.000079085534,0.00046747935,0.00018084126,0.00032492512,0.0003286391],"domain_scores_gemma":[0.99759734,0.0016710833,0.00018731503,0.00044126355,0.0000434113,0.000059613267],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032898795,0.00019975642,0.00039059197,0.00002725795,0.00012978098,0.000052787924,0.00032727045,0.00009951077,0.000018926878],"category_scores_gemma":[0.00030838768,0.000132168,0.000094573705,0.00013662777,0.00040304355,0.0001259546,0.00018265173,0.00053692085,0.000003128692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034503362,0.000082057784,0.00009843058,0.00012184766,0.000034645684,0.0000024506614,0.0016686532,0.0000011388378,0.0047302027,0.99211174,0.0001435563,0.00097077887],"study_design_scores_gemma":[0.00060281524,0.000034958277,0.00047524116,0.000057883197,0.000033470267,0.0000071647464,0.0001535527,0.001017772,0.0044735717,0.9929885,0.0000069141797,0.00014811169],"about_ca_topic_score_codex":0.000006962556,"about_ca_topic_score_gemma":0.000010361863,"teacher_disagreement_score":0.007786883,"about_ca_system_score_codex":0.000014179343,"about_ca_system_score_gemma":0.000017967317,"threshold_uncertainty_score":0.53896546},"labels":[],"label_agreement":null},{"id":"W2008401095","doi":"10.1088/1126-6708/2004/05/010","title":"Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models","year":2004,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Dual polyhedron; Invariant (physics); Quantum; Sigma; Sigma model; Dilaton; Dual (grammatical number); T-duality","score_opus":0.03139732850720082,"score_gpt":0.24905480304434469,"score_spread":0.21765747453714387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008401095","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75173366,0.00013617832,0.24636099,0.00030296456,0.0009083188,0.00006222568,0.000009890601,0.000017633152,0.0004681539],"genre_scores_gemma":[0.9918305,0.000013074395,0.007439622,0.00015386997,0.00050571666,0.0000013815957,0.000002929642,0.000027299278,0.000025557412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804527,0.000036882586,0.00082132773,0.00013028378,0.0007274515,0.00023880895],"domain_scores_gemma":[0.99789345,0.00015446267,0.0010027512,0.0002941681,0.0005237674,0.0001313778],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023744174,0.0002190987,0.0005989755,0.000053772546,0.00007517641,0.000023222421,0.00035158734,0.00012439051,0.000023780949],"category_scores_gemma":[0.00004454391,0.00016698486,0.00028727538,0.00014814337,0.00008273663,0.0004339657,0.000096379124,0.00024733375,6.3340974e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013513895,0.00019311887,0.0000054727793,0.000025373396,0.00020112845,0.00001696351,0.000119786826,0.048374005,0.00020456973,0.95025533,0.00014943394,0.00031966696],"study_design_scores_gemma":[0.0017534613,0.00025864854,0.00006700706,0.000102364465,0.00011165807,0.000054768658,0.0000131941715,0.0007935345,0.009752575,0.9868906,0.000027188038,0.00017501156],"about_ca_topic_score_codex":0.00029792456,"about_ca_topic_score_gemma":0.000023807132,"teacher_disagreement_score":0.2400969,"about_ca_system_score_codex":0.00009280644,"about_ca_system_score_gemma":0.00035111292,"threshold_uncertainty_score":0.68094444},"labels":[],"label_agreement":null},{"id":"W2008650093","doi":"10.1017/s1474748014000188","title":"ON THE FORMAL AFFINE HECKE ALGEBRA","year":2014,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Ottawa","funders":"","keywords":"Formal group; Affine transformation; Algebra over a field; Affine representation; Affine group; Basis (linear algebra); Group (periodic table); Affine hull","score_opus":0.02623571924149051,"score_gpt":0.2627415880571728,"score_spread":0.23650586881568228,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008650093","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98641515,0.000042336924,0.0051424964,0.0014771929,0.0017188909,0.00021776611,0.0000030905624,0.000008250508,0.0049748193],"genre_scores_gemma":[0.9899959,0.000010088928,0.00941875,0.00011694408,0.00026403103,0.0000018276038,1.2687265e-7,0.000022866883,0.00016949487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976749,0.00007218722,0.0011110589,0.000082965795,0.00085748965,0.00020143151],"domain_scores_gemma":[0.9961272,0.0008428455,0.0019918208,0.0007032713,0.00027329786,0.000061590305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014427518,0.00020246913,0.00060532155,0.00008624889,0.00012795818,0.000022944176,0.0011982986,0.000103287726,0.000051644238],"category_scores_gemma":[0.0022588384,0.00009285694,0.00045428134,0.00017785566,0.00023158983,0.0002044391,0.00018451278,0.00035999645,0.0000024151532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039559116,0.00022907925,0.000008236647,0.000223051,0.00012639325,9.585967e-7,0.00059585663,0.00023725687,0.00046196126,0.99553144,0.0021019976,0.00044419875],"study_design_scores_gemma":[0.0007150557,0.00025598623,0.000048568927,0.0005998319,0.00015658782,0.00006422933,0.00015471938,0.0004879989,0.010364262,0.98619586,0.00085371826,0.00010319207],"about_ca_topic_score_codex":0.0000042343627,"about_ca_topic_score_gemma":0.000004191981,"teacher_disagreement_score":0.0099023,"about_ca_system_score_codex":0.00003391098,"about_ca_system_score_gemma":0.00010941804,"threshold_uncertainty_score":0.37865964},"labels":[],"label_agreement":null},{"id":"W2008721850","doi":"10.4153/cmb-2000-015-2","title":"A Gorenstein Ring with Larger Dilworth Number than Sperner Number","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Counterexample; Conjecture; Combinatorics; Embedding; Dimension (graph theory); Discrete mathematics; Computer science","score_opus":0.01259021499694126,"score_gpt":0.23832757350706782,"score_spread":0.22573735851012655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008721850","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7153595,0.0000118326425,0.00023021136,0.0014911789,0.00009125473,0.00034101825,0.000012864587,0.00010903313,0.2823531],"genre_scores_gemma":[0.9594591,0.0000037579669,0.005489021,0.0006113155,0.0002845678,0.000053018295,0.0000063598345,0.00011014146,0.033982698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99775004,0.0000698471,0.00042591366,0.0004457879,0.00044801692,0.00086038455],"domain_scores_gemma":[0.9981544,0.00024581564,0.000073523755,0.0006474249,0.0000696763,0.00080915284],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00023718599,0.00038437446,0.0005122252,0.0000457172,0.00021068694,0.00013285609,0.00035272006,0.00021293048,0.26314995],"category_scores_gemma":[0.00013251675,0.00028964976,0.00014767153,0.00020125892,0.00015193192,0.00005150703,0.000031750307,0.0003589408,0.020601742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032833566,0.00006860062,0.0010773505,0.00009781324,0.00008922973,0.00015693142,0.0005353625,0.0000051095667,0.0000013722496,0.98300546,0.013773757,0.0011561791],"study_design_scores_gemma":[0.00082349614,0.000034885776,0.00030262984,0.00022534256,0.000088151915,0.0002664717,0.00012294433,0.00010772611,0.000048137288,0.8865216,0.11082363,0.00063497527],"about_ca_topic_score_codex":0.0015762409,"about_ca_topic_score_gemma":0.0018886164,"teacher_disagreement_score":0.2483704,"about_ca_system_score_codex":0.00015861048,"about_ca_system_score_gemma":0.0001821947,"threshold_uncertainty_score":0.99995553},"labels":[],"label_agreement":null},{"id":"W2008723934","doi":"10.1006/jabr.2000.8412","title":"Twistings and Hopf Galois Extensions","year":2000,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Mathematics; Hopf algebra; Pure mathematics; Isomorphism (crystallography); Invertible matrix; Finitely-generated abelian group; Algebra over a field; Discrete mathematics","score_opus":0.02105750953800596,"score_gpt":0.2777402178403531,"score_spread":0.25668270830234713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008723934","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99659616,0.00040520309,0.0000976597,0.000560715,0.00029253706,0.000047105717,6.9636917e-7,0.0000148772315,0.001985048],"genre_scores_gemma":[0.9958225,0.00015885873,0.002771222,0.00028665952,0.00038234034,5.164057e-7,1.2408096e-7,0.000017518858,0.0005602791],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990743,0.000031212297,0.0003811229,0.000092288195,0.00025854894,0.00016253952],"domain_scores_gemma":[0.99922186,0.00015351457,0.00021143565,0.00014322875,0.00013212363,0.00013782803],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023690004,0.00011234065,0.00026715518,0.000059267975,0.00008358101,0.00004182191,0.00013480184,0.000069878,0.0007362386],"category_scores_gemma":[0.0002209605,0.00008367468,0.00010604105,0.00008796898,0.000048411654,0.0001346029,0.000024874045,0.0002238929,0.000007440463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002005513,0.0001539936,0.0005075058,0.000057064783,0.00013992266,0.00015550927,0.0019794344,0.000008625111,0.0005090197,0.9091149,0.02603773,0.061135773],"study_design_scores_gemma":[0.0005297455,0.00015036532,0.0016230658,0.000062273706,0.000053475866,0.00046609857,0.00006996909,0.000025884045,0.00018485867,0.9899721,0.006755392,0.00010676387],"about_ca_topic_score_codex":0.0000061321075,"about_ca_topic_score_gemma":9.559689e-7,"teacher_disagreement_score":0.08085723,"about_ca_system_score_codex":0.000015195486,"about_ca_system_score_gemma":0.00003899675,"threshold_uncertainty_score":0.80612963},"labels":[],"label_agreement":null},{"id":"W2009113072","doi":"10.4153/cmb-2014-052-9","title":"On the Generalized Auslander–Reiten Conjecture under Certain Ring Extensions","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Conjecture; Ring (chemistry); Pure mathematics","score_opus":0.02980645348165611,"score_gpt":0.25370156893716295,"score_spread":0.22389511545550683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009113072","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83083117,0.00005419955,0.01306078,0.066594504,0.00065243716,0.0010880947,0.00001653912,0.00022420588,0.08747805],"genre_scores_gemma":[0.9898808,0.0000014870786,0.0009545656,0.006091534,0.00023845592,0.000050217488,0.0000043644,0.0000616729,0.002716874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981745,0.0002122753,0.00035308438,0.0003319387,0.00033154088,0.00059664896],"domain_scores_gemma":[0.99640197,0.0022040592,0.000089589004,0.0007442517,0.000062811225,0.0004973081],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005099526,0.0002914934,0.00039681644,0.00009032395,0.0004088984,0.000109248744,0.00041602607,0.00021237422,0.016069647],"category_scores_gemma":[0.0018771476,0.00018471727,0.00015926681,0.00012751314,0.00011661185,0.00001332151,0.000053834792,0.00039370713,0.0016014754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006032269,0.000016094695,0.0000017007316,0.000023483639,0.0000324234,0.0000068032687,0.00015082638,0.000038942497,0.000011751489,0.9586157,0.041012336,0.00008385749],"study_design_scores_gemma":[0.0004176531,0.00004518854,0.000022285962,0.00008209628,0.000041676853,0.00002406509,0.000098476,0.0010762864,0.000048372636,0.9798213,0.018069247,0.00025335042],"about_ca_topic_score_codex":0.0005384466,"about_ca_topic_score_gemma":0.000815161,"teacher_disagreement_score":0.15904965,"about_ca_system_score_codex":0.000122958,"about_ca_system_score_gemma":0.0001044295,"threshold_uncertainty_score":0.9991759},"labels":[],"label_agreement":null},{"id":"W2009733549","doi":"10.5539/jmr.v6n3p81","title":"Strongly Hopfian and Strongly Cohopfian Objects in the Category of Complexes of Left $A$-Modules","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Injective function; Mathematics; Chain (unit); Combinatorics; Image (mathematics); Pure mathematics; Artificial intelligence; Computer science; Physics","score_opus":0.09038936401979561,"score_gpt":0.37965823317705444,"score_spread":0.2892688691572588,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009733549","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99683654,0.00020969626,0.0008288944,0.00018777503,0.000088304994,0.00026471048,0.0000035965422,0.0000033809615,0.0015770813],"genre_scores_gemma":[0.99485016,0.00004964659,0.004918694,0.000004499022,0.000112304195,0.0000022886545,4.2591844e-7,0.000023335717,0.000038621572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99652433,0.00053788046,0.0010245026,0.00012762964,0.0014438643,0.0003418111],"domain_scores_gemma":[0.9951784,0.0030336916,0.0006731369,0.00045183866,0.00056932645,0.00009357983],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0055787936,0.00016081156,0.00068012887,0.00038957383,0.00008304009,0.00005053115,0.00075526314,0.000111198446,0.00003616786],"category_scores_gemma":[0.0016053373,0.00010127585,0.00012712351,0.00022600402,0.00037835073,0.000118282805,0.00014613313,0.00065293664,7.8992946e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007244202,0.000526789,0.0014484272,0.0010208945,0.00010581901,0.000008509613,0.0115634,0.000073460054,0.0022287685,0.981887,0.0005183889,0.00054613594],"study_design_scores_gemma":[0.0009988038,0.00067589857,0.003509484,0.0003359459,0.000037241265,0.000083203624,0.009482902,0.0010836782,0.0023681542,0.98127383,0.000048987735,0.00010184275],"about_ca_topic_score_codex":0.000055437395,"about_ca_topic_score_gemma":0.00008287159,"teacher_disagreement_score":0.0040897997,"about_ca_system_score_codex":0.000042614087,"about_ca_system_score_gemma":0.00012922961,"threshold_uncertainty_score":0.41299093},"labels":[],"label_agreement":null},{"id":"W2010252940","doi":"10.1080/00927870902747241","title":"Strictly Stratified Algebras Revisited","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Endomorphism; Conjecture; Algebra over a field; Pure mathematics","score_opus":0.0701999173954881,"score_gpt":0.35341670832646566,"score_spread":0.28321679093097757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010252940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86874425,0.0038559434,0.0024728011,0.008964499,0.00045256424,0.0015941075,0.000015836948,0.00072414376,0.11317585],"genre_scores_gemma":[0.98487234,0.00024747633,0.014014765,0.00054810935,0.000060952574,0.00003086143,0.000027565116,0.000021165368,0.00017678287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983825,0.00021062716,0.00059345766,0.00026900036,0.000241775,0.0003026388],"domain_scores_gemma":[0.9963208,0.0004818087,0.00017497303,0.002834682,0.00009981832,0.00008790926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035442392,0.00021260038,0.00033006744,0.00019377655,0.00020434558,0.00008246511,0.0015853344,0.00015857829,0.0001240778],"category_scores_gemma":[0.00043984517,0.0002087509,0.00009829051,0.0007511245,0.00009502857,0.00018786833,0.00020763358,0.00046053386,0.000028395636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008919413,0.00016392201,0.00025838014,0.0000071302998,0.000012237208,0.0000015945511,0.0002766591,0.0000015095035,0.00008589071,0.99190545,0.0013837473,0.0058945357],"study_design_scores_gemma":[0.000529394,0.000059652262,0.0044533643,0.000057687037,0.000020632304,0.0000051297393,0.00009867281,0.00027932352,0.00016242791,0.9923538,0.0017512008,0.00022871638],"about_ca_topic_score_codex":0.000015313422,"about_ca_topic_score_gemma":0.000027252107,"teacher_disagreement_score":0.11612807,"about_ca_system_score_codex":0.000096450574,"about_ca_system_score_gemma":0.00007004021,"threshold_uncertainty_score":0.8512615},"labels":[],"label_agreement":null},{"id":"W2010445730","doi":"10.1016/j.jalgebra.2005.07.010","title":"Some homological conjectures for quasi-stratified algebras","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.04071644456194769,"score_gpt":0.31595543877936905,"score_spread":0.2752389942174214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010445730","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98845404,0.0012047468,0.0058099036,0.0024898888,0.0014071547,0.00031871226,0.0000062850695,0.000045820947,0.0002634478],"genre_scores_gemma":[0.97881204,0.000041692296,0.016568795,0.00064904627,0.0036989655,0.000008876278,0.0000012861123,0.000033617416,0.00018568047],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981221,0.0000745197,0.0008475234,0.00018421057,0.00042497355,0.00034670412],"domain_scores_gemma":[0.997935,0.000736234,0.0006334483,0.0002472869,0.00026810012,0.00017995642],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053271593,0.00024129394,0.0005894444,0.00011916204,0.00012585433,0.000078319244,0.00043638507,0.00022633471,0.00018151045],"category_scores_gemma":[0.00066454406,0.00016969454,0.00042554206,0.00009303704,0.000085075975,0.00030298877,0.000042685417,0.00036247628,0.000006810139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020479847,0.0002049008,0.000033801076,0.00003165076,0.00014737432,0.000013641022,0.0002951509,0.000019667654,0.00048677612,0.9845834,0.011151414,0.0028274185],"study_design_scores_gemma":[0.0016115439,0.00081893307,0.0001786183,0.00003162261,0.00010829272,0.00021513573,0.00009967067,0.000075026335,0.0044190334,0.98798925,0.0042431117,0.00020974406],"about_ca_topic_score_codex":0.0000016654219,"about_ca_topic_score_gemma":0.0000031937434,"teacher_disagreement_score":0.010758892,"about_ca_system_score_codex":0.00007427007,"about_ca_system_score_gemma":0.00014230669,"threshold_uncertainty_score":0.69199425},"labels":[],"label_agreement":null},{"id":"W2010775440","doi":"10.1016/j.laa.2011.01.020","title":"Hamming graphs in Nomura algebras","year":2011,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Association scheme; Hamming graph; Dual (grammatical number); Combinatorics; Scheme (mathematics); Type (biology); Hamming distance; Discrete mathematics; Hamming code; Pure mathematics; Algebra over a field; Block code; Algorithm","score_opus":0.051503911554814624,"score_gpt":0.2848546288132494,"score_spread":0.2333507172584348,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010775440","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.989838,0.00052187534,0.0032345967,0.00011461677,0.00011805168,0.0006800198,0.0000066460816,0.00012693508,0.005359284],"genre_scores_gemma":[0.9945633,0.00008057293,0.004677054,0.00011376205,0.00010230855,0.00022098074,0.0000052913074,0.000028045142,0.00020871649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990041,0.000022814847,0.00031081444,0.00030036943,0.00012327638,0.0002386258],"domain_scores_gemma":[0.99934846,0.00011030627,0.00008655548,0.00030115922,0.000051959676,0.00010158613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011860052,0.00016226879,0.00020722246,0.00010957452,0.00012708707,0.000018524759,0.00019682678,0.000113392605,0.00014633455],"category_scores_gemma":[0.00004528572,0.00014814902,0.00005341975,0.0003132935,0.000044931316,0.00011539961,0.00007759515,0.0001737633,0.000031494277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000066231664,0.00006936845,0.00046949298,0.00002498001,0.000013635315,0.0000010253685,0.0008320884,1.8925464e-7,0.00010206442,0.9964995,0.00006439915,0.0019166378],"study_design_scores_gemma":[0.00033739058,0.000026742906,0.0020180184,0.000014337931,0.000022952654,0.00000658678,0.000113290174,0.00020919747,0.0011565188,0.99410397,0.0018018599,0.00018913357],"about_ca_topic_score_codex":0.000038003636,"about_ca_topic_score_gemma":0.000022337435,"teacher_disagreement_score":0.0051505677,"about_ca_system_score_codex":0.000013503481,"about_ca_system_score_gemma":0.000023428616,"threshold_uncertainty_score":0.60413414},"labels":[],"label_agreement":null},{"id":"W2011330932","doi":"10.1007/jhep11(2011)071","title":"Spinning conformal correlators","year":2011,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":486,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara; Fundação para a Ciência e a Tecnologia; Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; National Science Foundation; Government of Canada; CERN","keywords":"Conformal map; Minkowski space; Conformal field theory; Embedding; Formalism (music); Tensor field; Operator product expansion; Scattering amplitude; Conformal symmetry; Computation","score_opus":0.03375320449156722,"score_gpt":0.24561395097698452,"score_spread":0.2118607464854173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011330932","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8608975,0.00009196714,0.1295035,0.000017616781,0.0032046146,0.000027229262,9.139286e-7,0.000027122209,0.006229542],"genre_scores_gemma":[0.99550945,0.00001375924,0.0035114067,0.000078157245,0.000745783,6.645787e-7,3.6632332e-7,0.00002161295,0.00011882015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990475,0.000022418864,0.00040543426,0.00006803563,0.00028540255,0.00017121405],"domain_scores_gemma":[0.99898,0.000058674806,0.0005403589,0.0001560948,0.00017464957,0.00009023136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010524913,0.00013090459,0.00029389848,0.000039989965,0.00006048273,0.000015632997,0.00022698891,0.000074091644,0.00006522577],"category_scores_gemma":[0.00003065984,0.00010011437,0.00015974807,0.000097825614,0.00003892877,0.00024480998,0.0000445119,0.00019523347,0.0000020227587],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043884425,0.000051239367,0.0000776269,0.00000624427,0.00008281491,0.000015558096,0.00042461298,0.000024362776,0.000010645003,0.9969389,0.000597381,0.0017267326],"study_design_scores_gemma":[0.00051815016,0.00018731128,0.00020004589,0.000032838034,0.00006178864,0.00004698381,0.00006891476,0.000037151214,0.004555794,0.9937409,0.00043234383,0.00011777965],"about_ca_topic_score_codex":0.00003692022,"about_ca_topic_score_gemma":7.2101204e-7,"teacher_disagreement_score":0.13461193,"about_ca_system_score_codex":0.000030631618,"about_ca_system_score_gemma":0.00006609882,"threshold_uncertainty_score":0.40825453},"labels":[],"label_agreement":null},{"id":"W2011737806","doi":"10.1515/forum.2006.047","title":"On the structure and characters of weight modules","year":2006,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Simple (philosophy); Lie superalgebra; Pure mathematics; Simple module; Character (mathematics); Algebra over a field; Lie algebra; Type (biology); Affine Lie algebra; Geometry","score_opus":0.010647926665989594,"score_gpt":0.227119141178131,"score_spread":0.2164712145121414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011737806","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99688774,0.00004190236,0.0004948045,0.00074971095,0.00020305706,0.00026333114,0.000012178281,0.000037212354,0.0013100799],"genre_scores_gemma":[0.99850637,0.0000019516294,0.0010503104,0.00008142936,0.00008032409,0.0000073929145,0.0000022103745,0.000025020185,0.00024501205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990581,0.000029209827,0.00029588208,0.00015334919,0.00025686977,0.00020657472],"domain_scores_gemma":[0.9988561,0.0004977,0.000213625,0.00036910325,0.0000358312,0.000027636472],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011207212,0.00017255606,0.0002700383,0.000042026822,0.0001034007,0.000028819124,0.00018831764,0.000080724385,0.00012329113],"category_scores_gemma":[0.00011065902,0.0000968585,0.000073146024,0.0000764707,0.00008390531,0.000054050295,0.00006297751,0.00011616467,0.00000318064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000089679825,0.00003177847,0.000056553483,0.000090426925,0.00002238625,6.2369315e-7,0.00019769078,0.0000018689547,0.0005412833,0.9965752,0.0024027242,0.000070536604],"study_design_scores_gemma":[0.00020627226,0.000040621206,0.00029984364,0.000077763434,0.00002680742,0.000008053246,0.000103154605,0.00025264718,0.01060005,0.98821276,0.00006196841,0.0001100472],"about_ca_topic_score_codex":0.000010813891,"about_ca_topic_score_gemma":0.0000042420534,"teacher_disagreement_score":0.010058767,"about_ca_system_score_codex":0.000013348735,"about_ca_system_score_gemma":0.000008212566,"threshold_uncertainty_score":0.3949775},"labels":[],"label_agreement":null},{"id":"W2011885532","doi":"10.1016/j.aim.2010.07.007","title":"Tame algebras and Tits quadratic forms","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; Bishop's University","funders":"","keywords":"Mathematics; Connection (principal bundle); Quadratic equation; Pure mathematics; Quadratic algebra; Algebra over a field; Jordan algebra; Algebra representation; Geometry","score_opus":0.01216973192484319,"score_gpt":0.2999478294250543,"score_spread":0.28777809750021116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011885532","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9822476,0.00050066086,0.002784926,0.00011538785,0.0007145961,0.00028624083,0.000002920013,0.00008947265,0.013258204],"genre_scores_gemma":[0.93225586,0.00019467068,0.06692065,0.000060918865,0.00009691684,0.000030701933,0.0000014064118,0.000039057017,0.0003998053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988354,0.000015850046,0.00040534194,0.00022979084,0.00024142954,0.0002721856],"domain_scores_gemma":[0.9987784,0.0005230838,0.00015416954,0.00041672972,0.00005071439,0.00007692155],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022428819,0.00019832217,0.00033496998,0.00006118786,0.00006840168,0.00004338816,0.00019841013,0.0001288284,0.00012307694],"category_scores_gemma":[0.00066895015,0.00015817069,0.00004492022,0.0001605724,0.000103540624,0.00033250503,0.00009626365,0.0003245461,0.000017802322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003216933,0.000069867674,0.00023180818,0.00023814403,0.000007103455,0.000007124969,0.00076612795,0.0000031044403,0.00020257606,0.99587333,0.000028175522,0.0025694105],"study_design_scores_gemma":[0.0004055654,0.000024405077,0.00009299471,0.000058019257,0.000017702338,0.000045967638,0.00027740843,0.0007886814,0.0007706792,0.99603844,0.0012753002,0.00020481183],"about_ca_topic_score_codex":0.0000015196697,"about_ca_topic_score_gemma":0.00011624697,"teacher_disagreement_score":0.06413572,"about_ca_system_score_codex":0.00001540761,"about_ca_system_score_gemma":0.00003197493,"threshold_uncertainty_score":0.64500135},"labels":[],"label_agreement":null},{"id":"W2012086792","doi":"10.1007/s10468-008-9096-3","title":"Codeterminants and q-Schur Algebras","year":2008,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Winnipeg; University of Alberta","funders":"","keywords":"Mathematics; Basis (linear algebra); Schur algebra; Standard basis; Pure mathematics; Combinatorics; Algebra over a field; Matrix (chemical analysis); Geometry","score_opus":0.04205912852999542,"score_gpt":0.30631577380714003,"score_spread":0.2642566452771446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012086792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99571204,0.000625558,0.00093212747,0.00011931314,0.00031515057,0.0002276514,0.0000027075596,0.00007989844,0.0019855297],"genre_scores_gemma":[0.99707353,0.00040209186,0.0007457292,0.00017012088,0.00015220094,0.000019515412,0.0000036703,0.000028154893,0.0014049873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998781,0.00014492884,0.00028152496,0.00035759376,0.00021735122,0.00021759357],"domain_scores_gemma":[0.9988881,0.0005139268,0.00012565855,0.0002904723,0.00005483198,0.00012703582],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023437646,0.00018440842,0.0002642729,0.00007274214,0.0003378017,0.00003892853,0.000104927145,0.000113594564,0.00012902479],"category_scores_gemma":[0.0002243904,0.00014928223,0.00005507181,0.000110005756,0.0002820698,0.00020041832,0.00011177594,0.00012783063,0.000007218926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060247803,0.000029381246,0.0046905596,0.000026541456,0.000047362602,0.000024986955,0.0016131002,3.7658086e-7,0.00021684877,0.9878365,0.0006046547,0.004849447],"study_design_scores_gemma":[0.000708452,0.00005610975,0.014452534,0.000017156257,0.00004022282,0.00021755674,0.00042961905,0.000049935785,0.0017572467,0.98192155,0.0001532516,0.00019637542],"about_ca_topic_score_codex":0.000022091264,"about_ca_topic_score_gemma":0.000002392877,"teacher_disagreement_score":0.009761974,"about_ca_system_score_codex":0.0000097555485,"about_ca_system_score_gemma":0.00002449539,"threshold_uncertainty_score":0.6087553},"labels":[],"label_agreement":null},{"id":"W2012186432","doi":"10.1007/s00031-008-9033-x","title":"On the Equivariant Cohomology of Subvarieties of a $\\mathfrak{B}$ -Regular Variety","year":2008,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Mathematics; Unipotent; Surjective function; Borel subgroup; Affine variety; Algebraic group; Projective variety; Variety (cybernetics); Equivariant cohomology; Equivariant map; Combinatorics; Cohomology; Algebraically closed field; Algebraic variety; Affine transformation; Pure mathematics; Group (periodic table); Algebraic number; Physics; Mathematical analysis","score_opus":0.04966349228879784,"score_gpt":0.2604441961373582,"score_spread":0.21078070384856035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012186432","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93450993,0.00003068064,0.05990612,0.00041957927,0.00023465417,0.00035200574,0.000012684805,0.000036897964,0.0044974387],"genre_scores_gemma":[0.9993226,0.000022311868,0.0004780363,0.00007706233,0.00003115485,0.000018709838,0.0000054920292,0.00001308059,0.000031579926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877334,0.00009400703,0.00051987113,0.00009942935,0.00035385945,0.00015949253],"domain_scores_gemma":[0.9988701,0.0004519553,0.0002109854,0.00032384763,0.000113372305,0.000029753348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003261734,0.00013686073,0.0003047557,0.000054956537,0.00012318173,0.0000049673577,0.00023017552,0.00012342057,0.00018746416],"category_scores_gemma":[0.00008333072,0.000089825815,0.00013943114,0.0001586983,0.00022154678,0.00010886497,0.000015564823,0.00014161073,0.0000040555215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000090723894,0.00007158624,0.000016673988,0.00009234785,0.00005153927,7.8376615e-7,0.009238009,0.000038703838,0.0003342097,0.98971504,0.00027386862,0.000076535536],"study_design_scores_gemma":[0.0006080567,0.00020421753,0.00030829193,0.000024699664,0.00003586029,0.000021433776,0.0003338085,0.0005385406,0.009421874,0.98833954,0.0000695569,0.00009410419],"about_ca_topic_score_codex":0.000032777316,"about_ca_topic_score_gemma":0.0000023171337,"teacher_disagreement_score":0.06481264,"about_ca_system_score_codex":0.000018488536,"about_ca_system_score_gemma":0.00004719024,"threshold_uncertainty_score":0.36629903},"labels":[],"label_agreement":null},{"id":"W2012656501","doi":"10.1016/j.jpaa.2013.01.015","title":"Cominuscule parabolic subalgebras of simple finite dimensional Lie superalgebras","year":2013,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Simple (philosophy); Pure mathematics; Simple Lie group; Algebra over a field; Lie algebra","score_opus":0.01741628081947182,"score_gpt":0.24948945873196895,"score_spread":0.23207317791249713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012656501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9978635,0.0005147596,0.00025511772,0.00031988937,0.00027647833,0.00028118194,0.000005729109,0.000019038207,0.00046431526],"genre_scores_gemma":[0.99747413,0.000048003934,0.0016252812,0.00029561415,0.0004346763,0.000011944949,0.0000037144514,0.00004035014,0.000066295754],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783134,0.000054407665,0.00097223494,0.00021870341,0.0005703238,0.0003529819],"domain_scores_gemma":[0.99794203,0.0005857442,0.0006534298,0.0002903413,0.00027220912,0.00025623242],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032668954,0.00030489816,0.00081051764,0.00015952511,0.00012030669,0.00006875493,0.00032809752,0.00020316782,0.00063897227],"category_scores_gemma":[0.00013593741,0.00022601146,0.00023236436,0.00021018402,0.00014207148,0.00023172081,0.00012667917,0.00040324347,0.000014800967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000084212516,0.00017473787,0.0007354711,0.00009918837,0.00020691227,0.000007656429,0.00053858233,0.000017184275,0.004811745,0.9834372,0.0077924477,0.0020946974],"study_design_scores_gemma":[0.0014426985,0.00019700787,0.0031514543,0.00004644054,0.00011802651,0.00006575928,0.00025137706,0.000036629917,0.00650878,0.987511,0.00042137736,0.00024948225],"about_ca_topic_score_codex":0.000013053011,"about_ca_topic_score_gemma":0.0000032139762,"teacher_disagreement_score":0.0073710703,"about_ca_system_score_codex":0.000023536299,"about_ca_system_score_gemma":0.00009770011,"threshold_uncertainty_score":0.92164797},"labels":[],"label_agreement":null},{"id":"W2013188496","doi":"10.1007/s10468-012-9342-6","title":"The Higher Relation Bimodule","year":2012,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke; National Science Foundation","keywords":"Bimodule; Mathematics; Quiver; Extension (predicate logic); Dimension (graph theory); Tensor (intrinsic definition); Relation (database); Pure mathematics; String (physics); Algebra over a field; Construct (python library); Action (physics); Computer science; Mathematical physics; Physics","score_opus":0.03427641213639877,"score_gpt":0.3121256277218759,"score_spread":0.27784921558547715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013188496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98315215,0.0017568773,0.0018177647,0.00058514567,0.0018401953,0.00023604563,7.2529855e-7,0.00008101282,0.0105300825],"genre_scores_gemma":[0.9958908,0.000077413715,0.00022878498,0.00008758906,0.0004360621,0.000020008603,0.0000023472578,0.00001614649,0.00324085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991668,0.00017175727,0.00017954911,0.00012266569,0.00016620643,0.0001930459],"domain_scores_gemma":[0.9986969,0.00085409696,0.00009790714,0.00024859476,0.000034147946,0.00006830648],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050790975,0.00009198525,0.00009182351,0.0000232522,0.00035354376,0.00005113809,0.00008300841,0.00006716223,0.00012606992],"category_scores_gemma":[0.00016774345,0.000055669643,0.000044862536,0.000091899645,0.00009431858,0.00021191544,0.00005231721,0.0000931067,0.000014501998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023649744,0.000013784261,0.0026094355,0.0000042228417,0.000030092522,1.4236022e-7,0.0004998055,5.6698616e-7,0.00005957853,0.9912619,0.00086329173,0.004633507],"study_design_scores_gemma":[0.00020991013,0.000011086451,0.026877062,0.0000042796023,0.000028946512,0.000003966764,0.00030212506,0.00001246413,0.0004880801,0.9699283,0.0020531337,0.000080598606],"about_ca_topic_score_codex":0.000007173123,"about_ca_topic_score_gemma":6.5029724e-7,"teacher_disagreement_score":0.024267627,"about_ca_system_score_codex":0.000012562248,"about_ca_system_score_gemma":0.0000069606663,"threshold_uncertainty_score":0.27192083},"labels":[],"label_agreement":null},{"id":"W2013628423","doi":"10.1081/agb-120024869","title":"On<i>t</i>-Structures and Tilting Theory","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Consejo Nacional de Investigaciones Científicas y Técnicas; Xunta de Galicia; Université de Sherbrooke","keywords":"Mathematics; Connection (principal bundle); Associative property; Unit (ring theory); Ring (chemistry); Algebra over a field; Pure mathematics; Structured program theorem; Discrete mathematics; Geometry; Mathematics education","score_opus":0.05288969696979105,"score_gpt":0.3329184162899462,"score_spread":0.2800287193201551,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013628423","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9430364,0.0016429784,0.00092904706,0.00037271852,0.0002706194,0.00033032778,0.0000022859429,0.0001049933,0.053310633],"genre_scores_gemma":[0.98811895,0.00009928304,0.011354137,0.00023712433,0.000013327593,0.000031008272,0.0000018443675,0.000021571796,0.00012278186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989654,0.00033366933,0.0002472168,0.000170425,0.00011092723,0.00017238858],"domain_scores_gemma":[0.9968388,0.0016059766,0.000079973055,0.001399327,0.000029445087,0.00004644635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045885044,0.00013198072,0.00017066678,0.000091474634,0.00020214869,0.000038451108,0.00051163486,0.00008553371,0.00008048053],"category_scores_gemma":[0.0012533279,0.00011843183,0.00003510428,0.00017705599,0.00016012327,0.000059326292,0.0001756004,0.00030410843,0.000005267498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000053044196,0.000034343444,0.00035266674,0.000007831884,0.000010118867,4.5069723e-7,0.00043675487,0.0000018943662,0.000013409778,0.9973581,0.00014800017,0.0016311322],"study_design_scores_gemma":[0.0003419241,0.000018002143,0.0005908588,0.0000274491,0.0000097753355,0.000007856985,0.00019352685,0.000042776024,0.00016195538,0.99735814,0.001120845,0.00012688682],"about_ca_topic_score_codex":0.000004425351,"about_ca_topic_score_gemma":0.000011522152,"teacher_disagreement_score":0.05318785,"about_ca_system_score_codex":0.00003382727,"about_ca_system_score_gemma":0.00002777357,"threshold_uncertainty_score":0.48295102},"labels":[],"label_agreement":null},{"id":"W2014086479","doi":"10.1016/j.jcta.2014.09.002","title":"Categorification and Heisenberg doubles arising from towers of algebras","year":2014,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fock space; Mathematics; Categorification; Hopf algebra; Pure mathematics; Algebra over a field; Heisenberg group; Ring (chemistry); Representation theory; Generalization; Quantum mechanics; Physics; Mathematical analysis","score_opus":0.01531627639064651,"score_gpt":0.2563569798345632,"score_spread":0.24104070344391668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014086479","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99030924,0.00042434622,0.0026238516,0.0001769612,0.0054906514,0.000109771194,0.0000027393946,0.000018658526,0.0008438042],"genre_scores_gemma":[0.9973615,0.00008671597,0.0015582558,0.000020709076,0.00090571935,0.0000015221314,0.0000013551947,0.000026563166,0.000037653434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982689,0.00026684158,0.0007534983,0.00014894512,0.0003908166,0.00017099017],"domain_scores_gemma":[0.9973955,0.0008936821,0.0009813637,0.00028750757,0.00032754493,0.000114367715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010552763,0.00019260871,0.0005797004,0.000097484284,0.000101645855,0.0000624922,0.00027997867,0.0001562453,0.00006136167],"category_scores_gemma":[0.00079550676,0.00015645445,0.00014226392,0.00012250368,0.00017089436,0.00035984663,0.00006594069,0.00023962483,5.088388e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007496429,0.00006188776,0.00017099509,0.00003070362,0.0001285874,0.0000018383286,0.0010095079,0.000004817005,0.0015021029,0.99419117,0.00016050378,0.0019882682],"study_design_scores_gemma":[0.0015823824,0.0004087656,0.0002163666,0.000073702,0.00012993155,0.000021848418,0.0006376592,0.000010179235,0.011488526,0.98326284,0.002014782,0.00015301879],"about_ca_topic_score_codex":0.000021613394,"about_ca_topic_score_gemma":0.0000010226531,"teacher_disagreement_score":0.010928307,"about_ca_system_score_codex":0.000038782553,"about_ca_system_score_gemma":0.0000733361,"threshold_uncertainty_score":0.6380027},"labels":[],"label_agreement":null},{"id":"W2015331097","doi":"10.1016/j.jalgebra.2008.02.017","title":"Approximations of algebras by standardly stratified algebras","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics; Associative property","score_opus":0.032119205731827874,"score_gpt":0.281904811118398,"score_spread":0.24978560538657013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015331097","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9875167,0.0006499409,0.008909035,0.00032054514,0.0007083581,0.00021826543,0.000027629461,0.0000323138,0.001617234],"genre_scores_gemma":[0.9907091,0.00011565251,0.008491947,0.000078806,0.00029128446,0.0000038089236,0.000003891163,0.000044985703,0.00026049497],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969558,0.00011799492,0.0013867818,0.00019324145,0.0010260036,0.00032017546],"domain_scores_gemma":[0.99703217,0.00038416873,0.0013441615,0.00040709315,0.00061853655,0.00021386078],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005088102,0.0002792017,0.0007767893,0.00019716796,0.00017567407,0.000033202432,0.0005273284,0.00018978686,0.00036971256],"category_scores_gemma":[0.0004850238,0.00022653188,0.00037323913,0.0003397763,0.0002070831,0.00039078767,0.00006163665,0.00043321284,0.000004586475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020037933,0.00042013166,0.0005173244,0.00010983812,0.00042616003,0.000044081993,0.0019320662,0.000014964063,0.00432169,0.93294656,0.058283236,0.0007835883],"study_design_scores_gemma":[0.0017538144,0.00052251114,0.0004700211,0.00008747849,0.00013721354,0.00035685176,0.00034663003,0.000033145123,0.020460416,0.97440195,0.0011548485,0.00027511406],"about_ca_topic_score_codex":0.0000100237885,"about_ca_topic_score_gemma":0.000002184333,"teacher_disagreement_score":0.057128385,"about_ca_system_score_codex":0.00008241358,"about_ca_system_score_gemma":0.00037598654,"threshold_uncertainty_score":0.9237702},"labels":[],"label_agreement":null},{"id":"W2015870042","doi":"10.1007/s10468-011-9295-1","title":"The Brauer-Clifford Group for (S,H)-Azumaya Algebras over a Commutative Ring","year":2011,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Brauer group; Mathematics; Clifford algebra; Brauer's theorem on induced characters; Pure mathematics; Group (periodic table); Commutative ring; Ring (chemistry); Algebra over a field; Commutative property; Chemistry","score_opus":0.05330201581888255,"score_gpt":0.32008356518918635,"score_spread":0.2667815493703038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015870042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96449584,0.0007211145,0.025275866,0.00017526328,0.0010033961,0.0011805833,0.000010806854,0.00014627968,0.006990871],"genre_scores_gemma":[0.9964024,0.00010738725,0.00204423,0.00020659433,0.00020140038,0.0001891618,0.000009237491,0.00005189307,0.0007876925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983607,0.00025591,0.00042673483,0.00036733787,0.00023935418,0.00034999932],"domain_scores_gemma":[0.99653816,0.0025115197,0.00026660666,0.00047315637,0.000103904255,0.00010664416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007598546,0.0002388851,0.0002773997,0.000059797887,0.0007764922,0.00011057902,0.00029805978,0.00012144031,0.00013385787],"category_scores_gemma":[0.00045183586,0.00015917238,0.00016096141,0.0001409059,0.00031463793,0.00024294715,0.00015529174,0.00017798146,0.0000047203494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030788415,0.000047445697,0.0005456916,0.00002879037,0.00017232327,0.0000017396845,0.00462932,3.6251484e-7,0.00006283963,0.9855319,0.0005032156,0.008168462],"study_design_scores_gemma":[0.0011408492,0.0001350467,0.004044712,0.000024640187,0.000097838434,0.000009824116,0.0028032172,0.00011866781,0.0014211342,0.9895641,0.00041540046,0.00022455167],"about_ca_topic_score_codex":0.00006998216,"about_ca_topic_score_gemma":0.0000313517,"teacher_disagreement_score":0.031906582,"about_ca_system_score_codex":0.000026148378,"about_ca_system_score_gemma":0.000023941348,"threshold_uncertainty_score":0.6490861},"labels":[],"label_agreement":null},{"id":"W2016901407","doi":"10.1017/s0017089514000214","title":"CLUSTER AUTOMORPHISMS AND COMPATIBILITY OF CLUSTER VARIABLES","year":2014,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds de recherche du Québec – Nature et technologies; University of Connecticut; Université de Sherbrooke; National Science Foundation","keywords":"Cluster algebra; Mathematics; Automorphism; Cluster (spacecraft); Conjecture; Pure mathematics; Permutation (music); Combinatorics; Rank (graph theory); Type (biology); Quantum","score_opus":0.023181125326979503,"score_gpt":0.2751563102881558,"score_spread":0.25197518496117627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016901407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.806784,0.00003187866,0.18877432,0.0005468214,0.0003718017,0.00022106996,0.0000029163714,0.000042842334,0.003224364],"genre_scores_gemma":[0.9578444,0.000004408884,0.041613176,0.00015342752,0.00024004414,0.000004037472,5.7552734e-7,0.000026390713,0.00011357991],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794436,0.00025974738,0.00080401666,0.00020651393,0.0004808257,0.00030456344],"domain_scores_gemma":[0.99725986,0.0016280323,0.00035862144,0.00036967194,0.00016218648,0.00022161826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015498722,0.00021961567,0.0006250252,0.00006953148,0.00013736753,0.00008466103,0.0002607182,0.00016986324,0.0004162497],"category_scores_gemma":[0.0013818062,0.00015469606,0.00013880453,0.00008727032,0.00020095227,0.00013487125,0.00015838005,0.00039070882,0.000011116453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054534616,0.00015820473,0.0002723679,0.00031463552,0.00006697244,0.0000014764901,0.0006301973,0.000012915358,0.000093856856,0.9957647,0.0016166162,0.0010135606],"study_design_scores_gemma":[0.0012000134,0.00013509087,0.00030069676,0.0001494417,0.00008813326,0.00030981633,0.00006015909,0.010787321,0.00026560825,0.9863143,0.00022119707,0.0001681992],"about_ca_topic_score_codex":0.0000024923477,"about_ca_topic_score_gemma":0.000001284792,"teacher_disagreement_score":0.15106037,"about_ca_system_score_codex":0.000032744345,"about_ca_system_score_gemma":0.000037241243,"threshold_uncertainty_score":0.63083225},"labels":[],"label_agreement":null},{"id":"W2016930783","doi":"10.1112/plms/pdp030","title":"Cohomology of finite-dimensional pointed Hopf algebras","year":2009,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Saint Mary's University","funders":"Natural Sciences and Engineering Research Council of Canada; Ludwig-Maximilians-Universität München; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Hopf algebra; Cohomology; Cohomology ring; Quasitriangular Hopf algebra; Quantum group; Group cohomology; Ring (chemistry); Abelian group","score_opus":0.017784569888833954,"score_gpt":0.26377679110732516,"score_spread":0.2459922212184912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016930783","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9954145,0.00005572666,0.00028555642,0.0014042258,0.00013114336,0.00038575646,0.000004493416,0.00006149633,0.0022570817],"genre_scores_gemma":[0.98466635,0.0000053107883,0.014623147,0.00031808455,0.00008248154,0.000007763608,5.625674e-7,0.000021691989,0.00027462293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981793,0.000009800066,0.00067343516,0.00024495105,0.0005817487,0.0003107509],"domain_scores_gemma":[0.99824655,0.00057352317,0.00051897566,0.00022001968,0.00036095508,0.00007998272],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046094952,0.0002324084,0.0006151426,0.000024816889,0.00011511657,0.000015556396,0.00057604,0.00022799204,0.0001709884],"category_scores_gemma":[0.0011085278,0.00014873805,0.00057743717,0.0002972284,0.00028390725,0.00008818988,0.00019845695,0.0002921265,0.0000044054727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003737794,0.00024370126,0.00013758882,0.00028921358,0.00008391169,1.2517859e-7,0.0008519445,0.0000026232324,0.007534673,0.9861157,0.0046102987,0.0000928315],"study_design_scores_gemma":[0.0006132063,0.00014208848,0.00027715368,0.0001583831,0.00010203049,0.000013520828,0.00015255716,0.0010109589,0.030588161,0.96677303,0.000023458455,0.00014544828],"about_ca_topic_score_codex":0.000002484457,"about_ca_topic_score_gemma":7.7316905e-8,"teacher_disagreement_score":0.023053488,"about_ca_system_score_codex":0.00003901903,"about_ca_system_score_gemma":0.000036776757,"threshold_uncertainty_score":0.60653615},"labels":[],"label_agreement":null},{"id":"W2017004255","doi":"10.4171/jems/345","title":"Higher-dimensional cluster combinatorics and representation theory","year":2012,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cluster (spacecraft); Combinatorics; Representation theory; Representation (politics); Algebra over a field; Pure mathematics; Computer science","score_opus":0.03624361319576881,"score_gpt":0.28965563534033234,"score_spread":0.25341202214456354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017004255","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98013604,0.00040870038,0.00508444,0.0012219071,0.0021379585,0.00021486539,0.0000012116734,0.000029736633,0.010765154],"genre_scores_gemma":[0.9931707,0.000009660102,0.0047509423,0.00032796984,0.000714605,6.411564e-7,1.3536726e-7,0.000033422963,0.0009919502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981122,0.00059466076,0.0004976188,0.000085679465,0.000494335,0.00021547687],"domain_scores_gemma":[0.9981216,0.0009163685,0.00044941198,0.0002574808,0.000110504,0.00014460445],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002491585,0.00014230274,0.00026340675,0.000013068721,0.00016333986,0.000042414515,0.00027854912,0.000058792706,0.000087612825],"category_scores_gemma":[0.00050641404,0.000078299476,0.00033722285,0.000105469924,0.00012480616,0.00018716708,0.00026552394,0.00035331282,0.000009401496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018119852,0.00014904478,0.00032026978,0.000058484646,0.000114596834,0.0000010855391,0.0016080957,0.0000034269638,0.000098316195,0.98596203,0.011413272,0.0002532279],"study_design_scores_gemma":[0.0006128639,0.000028808101,0.00274861,0.00006971982,0.00013287226,0.00011183143,0.00018067639,0.000051553307,0.00012952116,0.9953578,0.00047758923,0.000098164484],"about_ca_topic_score_codex":1.6169577e-7,"about_ca_topic_score_gemma":8.172462e-9,"teacher_disagreement_score":0.013034646,"about_ca_system_score_codex":0.00004781698,"about_ca_system_score_gemma":0.0000147509745,"threshold_uncertainty_score":0.319296},"labels":[],"label_agreement":null},{"id":"W2017364159","doi":"10.1007/s00209-011-0906-7","title":"From m-clusters to m-noncrossing partitions via exceptional sequences","year":2011,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Bijection, injection and surjection; Bijection; Mathematics; Catalan number; Combinatorics; Cardinality (data modeling); Cluster algebra; Bounded function; Integer (computer science); Reflection group; Discrete mathematics; Coxeter group; Coxeter element","score_opus":0.08179495588948978,"score_gpt":0.3079554532804324,"score_spread":0.22616049739094263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017364159","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70102894,0.00007905713,0.26265153,0.00036805082,0.0010590858,0.00059694675,0.000049941606,0.00039467117,0.03377176],"genre_scores_gemma":[0.8972895,0.0000013665568,0.10148193,0.0003279378,0.00041436593,0.00009967629,0.000011464035,0.000048808564,0.00032493405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812555,0.00011365754,0.0004952715,0.0004236476,0.0004306098,0.00041123916],"domain_scores_gemma":[0.998615,0.00035064804,0.00017111457,0.0005290078,0.00009966075,0.0002345693],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042608863,0.0002914464,0.0003700316,0.00009022581,0.00030534941,0.00010685782,0.00041688004,0.00015520045,0.003371236],"category_scores_gemma":[0.00029271145,0.00024955175,0.0001504614,0.00021694615,0.00010508933,0.0002679044,0.00016041835,0.00019789924,0.0003847551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003585078,0.0001533425,0.00021418465,0.00006328825,0.00012703633,0.000014932317,0.01450408,0.00000980299,0.001690243,0.9738211,0.007056565,0.0023095491],"study_design_scores_gemma":[0.0003070015,0.000078466546,0.00039794418,0.00013585607,0.000060488484,0.000014319305,0.0005233187,0.00021314764,0.0030628848,0.99270815,0.002123185,0.00037525565],"about_ca_topic_score_codex":0.0002660626,"about_ca_topic_score_gemma":0.000034316137,"teacher_disagreement_score":0.19626059,"about_ca_system_score_codex":0.000011751515,"about_ca_system_score_gemma":0.00005705166,"threshold_uncertainty_score":0.99999565},"labels":[],"label_agreement":null},{"id":"W2017752524","doi":"10.1016/j.matpur.2014.02.004","title":"A category of kernels for equivariant factorizations, II: Further implications","year":2014,"lang":"fr","type":"article","venue":"Journal de Mathématiques Pures et Appliquées","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Pure mathematics; Equivariant map; Derived category; Algebraic variety; Humanities; Algebra over a field; Algebraic number; Philosophy; Functor","score_opus":0.030178510370861094,"score_gpt":0.32429130120921223,"score_spread":0.2941127908383511,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017752524","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15462536,0.0023114067,0.81894183,0.018264962,0.001591852,0.0011990943,0.00015779256,0.000107989414,0.002799719],"genre_scores_gemma":[0.93343407,0.0009349907,0.061342284,0.00056470314,0.0013062519,0.00020294887,0.000019035739,0.00013853869,0.0020571917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99706864,0.00036680172,0.0012426343,0.00031457967,0.00038169764,0.00062567036],"domain_scores_gemma":[0.99619764,0.0011383664,0.0011997889,0.0005643966,0.00061296776,0.0002868428],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014737202,0.0004406703,0.00077071274,0.00018265199,0.00042284376,0.00025005426,0.00064936694,0.0004893716,0.00030341043],"category_scores_gemma":[0.0007325863,0.00039579428,0.00044651076,0.00020118745,0.00016256754,0.000328907,0.00019015529,0.00045245534,0.000006781565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005416087,0.00029609833,0.00012068142,0.000649876,0.00024933854,0.0000012836753,0.007067167,0.00019181495,0.0026004964,0.972613,0.012889487,0.0032666465],"study_design_scores_gemma":[0.0007497552,0.00044540642,0.000731943,0.000313426,0.00030111102,0.00020640536,0.0003702496,0.0023504645,0.0022872435,0.9630957,0.028769754,0.00037853335],"about_ca_topic_score_codex":0.000079276266,"about_ca_topic_score_gemma":0.000024594321,"teacher_disagreement_score":0.7788087,"about_ca_system_score_codex":0.00022853233,"about_ca_system_score_gemma":0.00052756246,"threshold_uncertainty_score":0.9998494},"labels":[],"label_agreement":null},{"id":"W2018407410","doi":"10.1007/s10801-014-0541-6","title":"Double Macdonald polynomials as the stable limit of Macdonald superpolynomials","year":2014,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Comisión Nacional de Investigación Científica y Tecnológica; Natural Sciences and Engineering Research Council of Canada; Fondo Nacional de Desarrollo Científico y Tecnológico; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Mathematics; Macdonald polynomials; Schur polynomial; Koornwinder polynomials; Askey–Wilson polynomials; Combinatorics; Pure mathematics; Difference polynomials; Orthogonal polynomials","score_opus":0.02792363368134064,"score_gpt":0.2861660537235788,"score_spread":0.25824242004223813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018407410","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9861664,0.0010669368,0.00034818167,0.0025590467,0.004119731,0.00040956438,0.0000059769504,0.000038415605,0.00528573],"genre_scores_gemma":[0.9970385,0.00016453216,0.00040569695,0.00039082236,0.00080366497,0.000009225349,0.0000013627732,0.000083121944,0.0011030865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954086,0.00033918692,0.0019108534,0.0003060192,0.0014336997,0.0006016498],"domain_scores_gemma":[0.9936866,0.0023427147,0.0019349976,0.00089409476,0.0008368298,0.0003047569],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0027075757,0.00046177718,0.0012836566,0.00027323698,0.0002667535,0.00012824983,0.0014850809,0.00029875134,0.00043696992],"category_scores_gemma":[0.0012848864,0.0003168382,0.0006587146,0.00061276194,0.00022282268,0.00034737977,0.00029173968,0.0007790322,0.00001782736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039936183,0.00029801097,0.0004894441,0.00010443272,0.0003043124,0.000009812979,0.00059763575,0.000019608393,0.0008830714,0.98514706,0.011027683,0.0007195815],"study_design_scores_gemma":[0.003684748,0.00078922306,0.00036883715,0.000121608,0.00029257892,0.00018077568,0.00021859039,0.000058283225,0.0121933585,0.9634014,0.018343456,0.00034716754],"about_ca_topic_score_codex":0.00009656055,"about_ca_topic_score_gemma":0.0000066325147,"teacher_disagreement_score":0.021745672,"about_ca_system_score_codex":0.00018703591,"about_ca_system_score_gemma":0.0004533505,"threshold_uncertainty_score":0.99992836},"labels":[],"label_agreement":null},{"id":"W2018713805","doi":"10.1016/j.jpaa.2008.06.010","title":"Skew group algebras of piecewise hereditary algebras are piecewise hereditary","year":2008,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Universidad de la República Uruguay; Université de Sherbrooke","keywords":"Mathematics; Piecewise; Pure mathematics; Algebraically closed field; Group (periodic table); Algebra over a field; Skew; Order (exchange); Mathematical analysis; Computer science","score_opus":0.02175955139523329,"score_gpt":0.24389084761823754,"score_spread":0.22213129622300426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018713805","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99151015,0.0044407123,0.0007760092,0.00038946216,0.0012916863,0.00037560897,0.000021422113,0.000057239755,0.0011376858],"genre_scores_gemma":[0.99255866,0.0005668992,0.0041914275,0.0003288742,0.0021474904,0.000013096044,0.0000061809205,0.00009416465,0.000093199014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962657,0.00009590991,0.001548138,0.0004365208,0.0010775229,0.0005762221],"domain_scores_gemma":[0.99669474,0.00043747612,0.0015642478,0.0005482392,0.00029932897,0.00045597865],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005379399,0.0005821056,0.0014135574,0.00028737428,0.00027704763,0.000042874894,0.00065058004,0.00041002085,0.00025026844],"category_scores_gemma":[0.00015090592,0.00047032602,0.00044684598,0.0004032204,0.00033887813,0.00038169578,0.00021690344,0.000854714,0.000008363675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009817648,0.0012489967,0.0024151688,0.00078275957,0.0013045088,0.0012799198,0.003164464,0.000022506298,0.002708903,0.9191578,0.058489945,0.008443263],"study_design_scores_gemma":[0.003036812,0.0005097216,0.00554727,0.0002925872,0.00034713597,0.0018205647,0.001014729,0.000012468959,0.0025677101,0.9832934,0.0009831816,0.00057443354],"about_ca_topic_score_codex":0.000011064008,"about_ca_topic_score_gemma":0.000011016622,"teacher_disagreement_score":0.06413558,"about_ca_system_score_codex":0.00006582095,"about_ca_system_score_gemma":0.00017288256,"threshold_uncertainty_score":0.9997749},"labels":[],"label_agreement":null},{"id":"W2018760078","doi":"10.2140/pjm.2013.263.87","title":"Explicit isogeny theorems for Drinfeld modules","year":2013,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University; Simon Fraser University","funders":"","keywords":"Isogeny; Mathematics; Pure mathematics; Algebra over a field; Elliptic curve","score_opus":0.0338347546803803,"score_gpt":0.27934002886942977,"score_spread":0.24550527418904947,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018760078","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72493523,0.00028880473,0.26716295,0.0004691263,0.0013585903,0.0008624404,0.000007093249,0.000054208114,0.0048615453],"genre_scores_gemma":[0.9102087,0.00003602811,0.08871888,0.000026177891,0.00046854897,0.000032506297,5.934105e-7,0.000053684736,0.00045487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817663,0.00003434682,0.0009192955,0.00012874276,0.00042450347,0.00031650465],"domain_scores_gemma":[0.9972196,0.0009674187,0.00078557496,0.00039192077,0.00048678028,0.00014865387],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006149388,0.00023334665,0.00056814373,0.000114636176,0.00010060717,0.00010493643,0.00043506266,0.00012804338,0.00027439484],"category_scores_gemma":[0.0006904747,0.00016361193,0.0003416989,0.00010001385,0.00004829516,0.00021653635,0.00004989598,0.00020647465,0.000024612213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000112318285,0.00018734764,0.00003436067,0.00020237057,0.0001361288,0.0000018291216,0.0024409771,0.000014486229,0.000621926,0.98769444,0.0073907073,0.0012641762],"study_design_scores_gemma":[0.00062454643,0.00017225851,0.0000120060995,0.00011340576,0.00008638817,0.00010484522,0.0042697755,0.0013415206,0.0017422419,0.9907938,0.0005532298,0.00018596133],"about_ca_topic_score_codex":0.0000018323913,"about_ca_topic_score_gemma":3.2500398e-7,"teacher_disagreement_score":0.18527347,"about_ca_system_score_codex":0.000044345627,"about_ca_system_score_gemma":0.000041551728,"threshold_uncertainty_score":0.6671901},"labels":[],"label_agreement":null},{"id":"W2019677458","doi":"10.4153/cmb-2014-035-9","title":"On Global Dimensions of Tree Type Finite Dimensional Algebras","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Quiver; Type (biology); Dimension (graph theory); Tree (set theory); Global dimension; Pure mathematics; Field (mathematics); Algebraic number; Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.01835892608141123,"score_gpt":0.2532883245716689,"score_spread":0.23492939849025765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019677458","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9409754,0.000041511066,0.0011607257,0.0030120544,0.00069007964,0.00041694235,0.00003755366,0.00009070592,0.053575028],"genre_scores_gemma":[0.99572337,9.984454e-7,0.002526419,0.00088962546,0.00009144556,0.000008548402,0.0000061866626,0.000030462377,0.0007229455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841046,0.000091593574,0.0004194544,0.00027877354,0.00037537253,0.00042431455],"domain_scores_gemma":[0.9973383,0.0013585646,0.00011042938,0.00052545156,0.00012661218,0.00054064515],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00027345392,0.00023373442,0.00043679873,0.000078277466,0.00011358404,0.000020454105,0.00027213848,0.00017808453,0.006401909],"category_scores_gemma":[0.0029680282,0.00017259193,0.00013106679,0.00019781392,0.00012395372,0.000013757429,0.000053486885,0.00017056636,0.001943331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019846948,0.00005464411,0.000016810038,0.000043557273,0.000028138578,0.000005820427,0.000040663905,0.000017700379,0.000010096949,0.97513956,0.02429352,0.0003296362],"study_design_scores_gemma":[0.00037474127,0.00020266275,0.00006923973,0.00011515993,0.000041006737,0.000009004271,0.0000140611655,0.0005715502,0.000087460874,0.99327415,0.005037396,0.00020356366],"about_ca_topic_score_codex":0.0002939304,"about_ca_topic_score_gemma":0.00036046733,"teacher_disagreement_score":0.05474797,"about_ca_system_score_codex":0.00011990533,"about_ca_system_score_gemma":0.00016375307,"threshold_uncertainty_score":0.9988338},"labels":[],"label_agreement":null},{"id":"W2020221683","doi":"10.1016/j.jalgebra.2008.01.009","title":"Deformed Kac–Moody algebras and their representations","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Pure mathematics; Subalgebra; Verma module; Invariant (physics); Kac–Moody algebra; Abelian group; Lie algebra; Degenerate energy levels; Permutation (music); Rank (graph theory); Bilinear form; Cartan subalgebra; Combinatorics; Algebra over a field; Fundamental representation; Lie conformal algebra; Adjoint representation of a Lie algebra; Weight; Mathematical physics","score_opus":0.03966449478080148,"score_gpt":0.2879714407557572,"score_spread":0.24830694597495573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020221683","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9958108,0.00047579705,0.001318734,0.000487053,0.00059181574,0.00010891949,0.0000018602457,0.000023138677,0.0011818532],"genre_scores_gemma":[0.9965011,0.00019144072,0.0025163072,0.0001305387,0.00044360207,0.0000024347535,6.5614734e-7,0.000025176618,0.00018873451],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871296,0.00006172652,0.00057655293,0.00013506682,0.0003015063,0.0002121815],"domain_scores_gemma":[0.99855214,0.00037344234,0.0004514655,0.00024092269,0.00021271288,0.00016932191],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023848475,0.00017316807,0.00038408188,0.00013275695,0.00019695677,0.000033149776,0.00022630223,0.00009624917,0.000105073625],"category_scores_gemma":[0.00038476492,0.000116628275,0.00017702655,0.00016546767,0.00011469739,0.00029733943,0.00006735538,0.00028223277,0.0000036628228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014816155,0.00021186922,0.0051719495,0.000054839944,0.0004342926,0.00012413929,0.007365508,0.000009147373,0.0010486913,0.96970123,0.013219383,0.0025107749],"study_design_scores_gemma":[0.0009699366,0.00018599968,0.0059506386,0.00003374055,0.000045230714,0.0015840939,0.0005665439,0.000023450164,0.0021668081,0.9877146,0.0006121087,0.00014686771],"about_ca_topic_score_codex":0.000008055036,"about_ca_topic_score_gemma":0.000003044455,"teacher_disagreement_score":0.018013338,"about_ca_system_score_codex":0.00003705632,"about_ca_system_score_gemma":0.00011866758,"threshold_uncertainty_score":0.4755963},"labels":[],"label_agreement":null},{"id":"W2020231667","doi":"10.1081/agb-120037211","title":"The Tits–Kantor–Koecher Construction and Birepresentations of the Jordan Superpair SH(1,<i>n</i>)","year":2004,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Bimodule; Mathematics; Class (philosophy); Pure mathematics; Algebra over a field; Combinatorics; Computer science; Artificial intelligence","score_opus":0.043601614443594276,"score_gpt":0.3237777682758488,"score_spread":0.2801761538322545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020231667","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9896695,0.001056135,0.00030846157,0.005522504,0.00036305597,0.00043851972,0.000004957689,0.000040143055,0.0025966975],"genre_scores_gemma":[0.99183464,0.00044752375,0.007504637,0.000046182828,0.000024573825,0.00005369068,0.00000189833,0.0000150489905,0.00007182718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905056,0.00017653196,0.00035827883,0.0001289574,0.00014470638,0.0001409616],"domain_scores_gemma":[0.9972932,0.0006840651,0.00014430145,0.0017608996,0.00008762356,0.000029957655],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028694776,0.000105726824,0.00014090768,0.00004559791,0.0005013017,0.00004220718,0.0009265955,0.0000751602,0.000007904106],"category_scores_gemma":[0.00040952986,0.000068063906,0.000064829284,0.00036452527,0.000736925,0.000079286016,0.00046170302,0.00026575895,0.0000017331073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000037920393,0.000042623727,0.0021600502,0.000007604548,0.000018572528,6.6525786e-8,0.0008425953,0.000014061123,0.00011742766,0.99505955,0.000046590572,0.0016870474],"study_design_scores_gemma":[0.00043631557,0.000011236865,0.0041893297,0.00004370201,0.000022483719,0.000010377737,0.00093992666,0.00008228921,0.0009086361,0.99244857,0.00082909886,0.00007803496],"about_ca_topic_score_codex":0.00020454673,"about_ca_topic_score_gemma":0.0007131356,"teacher_disagreement_score":0.007196175,"about_ca_system_score_codex":0.000060247363,"about_ca_system_score_gemma":0.000091999085,"threshold_uncertainty_score":0.38556582},"labels":[],"label_agreement":null},{"id":"W2020574481","doi":"10.1090/s0894-0347-2011-00704-2","title":"On the “main conjecture” of equivariant Iwasawa theory","year":2011,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Conjecture; Equivariant map; Annotation; Mathematics; Semantics (computer science); Algorithm; Algebra over a field; Computer science; Pure mathematics; Artificial intelligence; Programming language","score_opus":0.042704935779970796,"score_gpt":0.2807092991085649,"score_spread":0.2380043633285941,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020574481","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.972071,0.000040718427,0.021438323,0.0012642764,0.00036110546,0.00026413682,0.0000044637454,0.0000145604745,0.0045414306],"genre_scores_gemma":[0.9906966,0.00001055819,0.008177398,0.00084610237,0.00013531437,0.0000033663782,3.0733567e-8,0.0000270637,0.00010353258],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979545,0.00035367737,0.0006960299,0.00010965141,0.00063893234,0.00024722962],"domain_scores_gemma":[0.9949403,0.002796365,0.0014875482,0.00057892106,0.000111881534,0.00008503205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017505218,0.0001963991,0.0006070299,0.000017894583,0.00013142219,0.000017589808,0.00095947814,0.000063546635,0.0004369251],"category_scores_gemma":[0.0014158061,0.00008160404,0.0009229879,0.00024896621,0.0007461435,0.0000433797,0.00016657685,0.00052162074,0.0000043898103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008544385,0.00017772234,0.000016175998,0.000035516685,0.00029039136,0.0000019032109,0.0037397167,0.0000029081764,0.00024000157,0.9917338,0.003505953,0.00017048058],"study_design_scores_gemma":[0.00026891555,0.0003078237,0.00023938504,0.0001149826,0.00016065079,0.00006481192,0.0018542514,0.00006722359,0.0016839231,0.99511325,0.000024601479,0.00010020505],"about_ca_topic_score_codex":0.0000052031482,"about_ca_topic_score_gemma":1.931105e-7,"teacher_disagreement_score":0.018625649,"about_ca_system_score_codex":0.0000628673,"about_ca_system_score_gemma":0.00009202455,"threshold_uncertainty_score":0.47840235},"labels":[],"label_agreement":null},{"id":"W2020912272","doi":"10.1007/s00023-010-0031-x","title":"A Bijection Between Paths for the $${\\mathcal{M}(p, 2p + 1)}$$ Minimal Model Virasoro Characters","year":2010,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Institut Henri Poincaré","keywords":"Bijection; Minimal models; Representation (politics); Correctness; Path (computing); Minimal model; Lattice (music)","score_opus":0.05061829509078601,"score_gpt":0.31709866139856324,"score_spread":0.2664803663077772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020912272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98822576,0.00008069411,0.008006401,0.0011778609,0.0011139899,0.0007306281,0.000057053403,0.00015249608,0.0004551193],"genre_scores_gemma":[0.99524456,0.00002154451,0.0023681438,0.00026592135,0.001348232,0.00015220228,0.000019787709,0.000068037196,0.00051159284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99835324,0.00004016066,0.0004185339,0.00038101542,0.0003411675,0.00046587197],"domain_scores_gemma":[0.9979712,0.00091442,0.00021224312,0.0006168461,0.00015896668,0.00012632691],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004587023,0.0002974074,0.00035655175,0.00007580258,0.00041296825,0.00009857084,0.00046619363,0.00025649762,0.000029942123],"category_scores_gemma":[0.00030964485,0.00020952919,0.00031585118,0.00013531793,0.000118277254,0.00019124798,0.00010394515,0.00045490192,0.000014718592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020959161,0.00013620002,0.0009245946,0.00015551521,0.0003178229,0.0000034434684,0.0031135005,0.000033323104,0.008106055,0.96599925,0.007685777,0.01331491],"study_design_scores_gemma":[0.00088539056,0.00016670537,0.0022790972,0.000025789597,0.00020221494,0.000015094188,0.00021067774,0.012705931,0.0023120788,0.97499144,0.005779728,0.00042586014],"about_ca_topic_score_codex":0.000031960397,"about_ca_topic_score_gemma":0.000038109898,"teacher_disagreement_score":0.012889051,"about_ca_system_score_codex":0.000026907379,"about_ca_system_score_gemma":0.00009010365,"threshold_uncertainty_score":0.85443527},"labels":[],"label_agreement":null},{"id":"W2021175326","doi":"10.1063/1.4769178","title":"Rigid <i>C</i>*-tensor categories of bimodules over interpolated free group factors","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Defense Advanced Research Projects Agency; National Science Foundation","keywords":"Construct (python library); Group (periodic table); Algebra over a field; Free group; Group theory; Closed category; 2-category; Interpolation (computer graphics); Category of groups","score_opus":0.03508015167707917,"score_gpt":0.2900570075477654,"score_spread":0.25497685587068625,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021175326","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97847533,0.00013035387,0.019838592,0.000039050265,0.0007132569,0.000117643714,0.000008968006,0.000022178543,0.0006546077],"genre_scores_gemma":[0.99246985,0.000008196345,0.006798209,0.00002238363,0.00062286516,0.0000014357355,9.437134e-7,0.000042563963,0.00003355704],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979111,0.00007286431,0.0009441712,0.000096966396,0.00064372586,0.00033119752],"domain_scores_gemma":[0.997448,0.0007944244,0.00091602764,0.00041241897,0.0002338433,0.00019525616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037946086,0.00025877307,0.000798909,0.00006473374,0.000051142706,0.000028294053,0.0004673799,0.00013494064,0.0001551266],"category_scores_gemma":[0.0007049983,0.00017100963,0.00039372148,0.00017351567,0.0001413822,0.00043193,0.00013728996,0.00034871613,0.00000493785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000508343,0.00056869956,0.0009366724,0.0002544322,0.00021977098,0.0000016884626,0.0018439507,0.0000021353253,0.0011730462,0.99364185,0.0011853566,0.000121588026],"study_design_scores_gemma":[0.0006262147,0.00016412149,0.0005951032,0.00014785593,0.0001925524,0.00002178734,0.00032763364,0.00007739935,0.0071522845,0.99044096,0.00007668631,0.00017741801],"about_ca_topic_score_codex":0.000004214414,"about_ca_topic_score_gemma":2.9729193e-7,"teacher_disagreement_score":0.013994497,"about_ca_system_score_codex":0.000057480407,"about_ca_system_score_gemma":0.00003492088,"threshold_uncertainty_score":0.697357},"labels":[],"label_agreement":null},{"id":"W2021327950","doi":"10.1007/s10468-011-9330-2","title":"Self-injective Right Artinian Rings and Igusa Todorov Functions","year":2012,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University","funders":"Natural Sciences and Engineering Research Council of Canada; Agencia Nacional de Investigación e Innovación","keywords":"Mathematics; Injective function; Finitely-generated abelian group; Pure mathematics; Ring (chemistry); Discrete mathematics; Combinatorics","score_opus":0.01728141114925628,"score_gpt":0.28599076926719313,"score_spread":0.26870935811793684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021327950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9869371,0.0006881427,0.0020219444,0.00015249016,0.00064836035,0.00027393684,0.00000304981,0.0001314202,0.00914354],"genre_scores_gemma":[0.9973369,0.000055881144,0.0009276693,0.00010889406,0.00036021747,0.000029374809,0.0000038095661,0.000022545411,0.0011546848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998981,0.00015392744,0.00021930425,0.00024258156,0.00015653713,0.00024667406],"domain_scores_gemma":[0.9989113,0.00054178195,0.0001175716,0.00022266842,0.00005308648,0.00015357023],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003595964,0.00015552845,0.00018727873,0.000067752146,0.00028237904,0.00005558067,0.00006017423,0.0000975011,0.00023663689],"category_scores_gemma":[0.0001557897,0.00012286476,0.000050542123,0.000106900196,0.0001015504,0.00033929624,0.00008302135,0.00013068704,0.000012853982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040311937,0.00005491108,0.0066427365,0.000021780512,0.0000943316,8.837343e-7,0.0032724813,2.9552464e-7,0.00006540182,0.9877615,0.0003464865,0.0016989056],"study_design_scores_gemma":[0.00044910036,0.000051457817,0.016034527,0.000010292642,0.000104960614,0.000036800935,0.0015435134,0.000022542803,0.0011053834,0.97921866,0.0012519041,0.00017082531],"about_ca_topic_score_codex":0.000021483342,"about_ca_topic_score_gemma":0.000002737132,"teacher_disagreement_score":0.010399808,"about_ca_system_score_codex":0.0000198147,"about_ca_system_score_gemma":0.000013376416,"threshold_uncertainty_score":0.50102794},"labels":[],"label_agreement":null},{"id":"W2021341955","doi":"10.4153/cmb-2009-023-x","title":"Schubert Calculus on a Grassmann Algebra","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Politecnico di Torino","keywords":"Mathematics; Monic polynomial; Grassmannian; Exterior algebra; Algebra over a field; Pure mathematics; Cohomology; Schubert calculus; Cohomology ring; Rank (graph theory); Polynomial ring; Equivariant cohomology; Polynomial; Combinatorics","score_opus":0.023115228175389687,"score_gpt":0.2685020166574025,"score_spread":0.24538678848201279,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021341955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65361905,0.0000968392,0.0029282735,0.043231606,0.00074905046,0.0012801843,0.000024293133,0.00049328513,0.29757744],"genre_scores_gemma":[0.99018395,0.0000017597646,0.0016982956,0.0044819764,0.0002541818,0.000023826939,0.0000037062282,0.000044145792,0.0033081642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979675,0.00006482623,0.0004211469,0.00040053506,0.00040404225,0.00074199674],"domain_scores_gemma":[0.9980141,0.00028767774,0.00007941868,0.0006589668,0.00007236712,0.0008874693],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00027073993,0.0003272972,0.00044421392,0.00016992989,0.00020666924,0.000101111305,0.00042733096,0.00023681656,0.009254387],"category_scores_gemma":[0.0009076209,0.00027779545,0.00018187448,0.0001897722,0.000073295254,0.000027148135,0.000023488505,0.00035649762,0.005623634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011485616,0.00005237256,0.0000025950037,0.00002197783,0.00001823288,0.000058147816,0.00014463505,0.0000012393741,0.000005649922,0.9459437,0.05263666,0.0011032795],"study_design_scores_gemma":[0.000397445,0.0001748057,0.000085891974,0.00009410616,0.000030609794,0.00003362506,0.000043752287,0.00010392404,0.00011547329,0.9731608,0.025423734,0.0003358503],"about_ca_topic_score_codex":0.000229556,"about_ca_topic_score_gemma":0.00014505262,"teacher_disagreement_score":0.3365649,"about_ca_system_score_codex":0.0002363511,"about_ca_system_score_gemma":0.00016308922,"threshold_uncertainty_score":0.9999674},"labels":[],"label_agreement":null},{"id":"W2021420261","doi":"10.48550/arxiv.0807.3890","title":"Hopf cyclic cohomology in braided monoidal categories","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Symmetric monoidal category; Pure mathematics; Cyclic homology; Cohomology; Functor","score_opus":0.07952466753095472,"score_gpt":0.31396128275596524,"score_spread":0.23443661522501053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021420261","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99334764,0.00039518785,0.00021060095,0.00039185715,0.0029305504,0.00052798627,0.0000089852265,0.00018123201,0.0020059312],"genre_scores_gemma":[0.99759984,0.00029113746,0.00036803036,0.00019001092,0.00059581595,0.0001346886,0.000032911405,0.00008806196,0.0006994777],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997478,0.0001700568,0.00073783845,0.00075117534,0.0002938643,0.0005690605],"domain_scores_gemma":[0.9980221,0.0003507223,0.00037325293,0.001037189,0.00009673811,0.0001200424],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00018933152,0.0005262288,0.0009666743,0.00018966412,0.00011104741,0.000033931425,0.0006995677,0.0008926972,0.00010471689],"category_scores_gemma":[0.00042317563,0.0005061254,0.00024166358,0.00016940715,0.00016652132,0.000074854936,0.00090165215,0.0012601592,0.00006674647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016811946,0.000357632,0.49443024,0.00051073224,0.00037203715,0.00046484979,0.0055096066,0.00030080625,0.0002108713,0.49270755,0.004491218,0.00047633218],"study_design_scores_gemma":[0.0007502243,0.00005011023,0.055064388,0.000063294014,0.000049599774,0.00004353306,0.00008324333,0.000067217756,0.0006239106,0.9422597,0.0004095056,0.0005352611],"about_ca_topic_score_codex":0.00077345,"about_ca_topic_score_gemma":0.00016335088,"teacher_disagreement_score":0.44955215,"about_ca_system_score_codex":0.0001800702,"about_ca_system_score_gemma":0.000266806,"threshold_uncertainty_score":0.99973905},"labels":[],"label_agreement":null},{"id":"W2021553541","doi":"10.1016/s0021-8693(03)00436-8","title":"Two-sided gluings of tilted algebras","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Indecomposable module; Mathematics; Pure mathematics; Dimension (graph theory); Injective function; Class (philosophy); Finitely-generated abelian group; Algebra over a field; Preprint; Physics; Philosophy; Quantum mechanics","score_opus":0.026916494068246758,"score_gpt":0.2972819260854184,"score_spread":0.27036543201717167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021553541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99276954,0.00039390242,0.0014910431,0.00011933212,0.0011379241,0.000112532514,0.0000011889302,0.000018090595,0.0039564203],"genre_scores_gemma":[0.99062926,0.000025335336,0.008824454,0.00009973421,0.00022733558,0.0000011255879,3.013179e-7,0.000035466273,0.00015700968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978674,0.00013445412,0.0009947385,0.00013669349,0.00059928064,0.00026743053],"domain_scores_gemma":[0.997571,0.00046250003,0.0010674978,0.00031585107,0.00042641663,0.00015676008],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067480834,0.00020489538,0.0006149973,0.00018005156,0.000056669283,0.000028954031,0.00034717482,0.00011678071,0.0004904435],"category_scores_gemma":[0.0014528116,0.0001610334,0.00032583153,0.00028125267,0.00009675058,0.00020562706,0.000038200014,0.00033097944,0.000005478457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006366285,0.00010827985,0.0003395643,0.000037223712,0.00016752911,0.000023229928,0.00045232248,0.000008100835,0.002788167,0.993569,0.0020724684,0.00037040733],"study_design_scores_gemma":[0.0017414195,0.000254264,0.00020577382,0.00011609662,0.00012247916,0.00022461072,0.0002231748,0.000010581437,0.032448232,0.9638415,0.0006499917,0.00016186624],"about_ca_topic_score_codex":0.000006282106,"about_ca_topic_score_gemma":0.0000013731537,"teacher_disagreement_score":0.029727533,"about_ca_system_score_codex":0.0000547095,"about_ca_system_score_gemma":0.0001808838,"threshold_uncertainty_score":0.65667516},"labels":[],"label_agreement":null},{"id":"W2021579807","doi":"10.1016/s0022-4049(02)00053-1","title":"Representations of a class of lattice type vertex algebras","year":2002,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Vertex (graph theory); Vertex operator algebra; Lattice (music); Associative property; Representation theory; Class (philosophy); Pure mathematics; Representation (politics); Construct (python library); Algebra representation; Algebra over a field; Discrete mathematics; Jordan algebra; Graph; Computer science","score_opus":0.031135579805433293,"score_gpt":0.28033785872202366,"score_spread":0.24920227891659036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021579807","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99353695,0.00057995954,0.00025602657,0.0002747201,0.00029221852,0.00011515549,0.0000027512513,0.000007440482,0.004934787],"genre_scores_gemma":[0.9975546,0.00013791994,0.0019854188,0.000060117618,0.00013560393,0.0000012475498,4.3385512e-7,0.000015922295,0.00010875128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878836,0.000028452083,0.0006165951,0.00010665325,0.0003302545,0.00012971586],"domain_scores_gemma":[0.9985331,0.00029772057,0.00064092386,0.00018658541,0.00025848046,0.00008313108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018132773,0.000122002144,0.00042960787,0.00009925915,0.000041942636,0.000013855307,0.00018211693,0.000101483354,0.0001944041],"category_scores_gemma":[0.00017482153,0.000095785625,0.000107851796,0.00022116149,0.000077769255,0.00008456884,0.000046564557,0.00019781449,0.0000020849877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006487219,0.00012789905,0.00020790692,0.00010166074,0.0001587699,0.000003938041,0.0009936244,0.0000064322335,0.0021721474,0.9906907,0.00423651,0.0012355063],"study_design_scores_gemma":[0.0009412802,0.00018914648,0.0004304617,0.000055967903,0.00018240442,0.000044281045,0.00047232647,0.000064109576,0.0063693738,0.99087757,0.0002691181,0.0001039455],"about_ca_topic_score_codex":0.0000030485658,"about_ca_topic_score_gemma":0.0000015071117,"teacher_disagreement_score":0.0048260354,"about_ca_system_score_codex":0.000010817737,"about_ca_system_score_gemma":0.000026983233,"threshold_uncertainty_score":0.39060244},"labels":[],"label_agreement":null},{"id":"W2022053136","doi":"10.1016/s0021-8693(03)00034-6","title":"Duals of pointed Hopf algebras","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Dual polyhedron; Hopf algebra; Quasitriangular Hopf algebra; Algebraically closed field; Abelian group; Dimension (graph theory); Representation theory of Hopf algebras; Quantum group; Dual (grammatical number)","score_opus":0.028088836849372703,"score_gpt":0.2935507955169898,"score_spread":0.2654619586676171,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022053136","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9944591,0.00043801937,0.00062091067,0.00018704822,0.0013954099,0.00010093401,0.0000013180006,0.000014176021,0.0027830654],"genre_scores_gemma":[0.9935315,0.00003816552,0.00589376,0.00009812445,0.0001937488,9.2296835e-7,2.445439e-7,0.000031310767,0.00021221009],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796206,0.00014605568,0.00097577256,0.000119927034,0.0005545828,0.0002415848],"domain_scores_gemma":[0.997748,0.00038005217,0.0010105975,0.0002962376,0.0004207325,0.00014438406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007054143,0.00018586923,0.0005941834,0.00017429667,0.000055782493,0.000023909151,0.00030257815,0.00012933453,0.00056234025],"category_scores_gemma":[0.0012773818,0.00014221348,0.00032966788,0.0002477034,0.00006792023,0.00018122127,0.000033572393,0.00029509258,0.0000060468255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050852752,0.00011675319,0.00029478405,0.000043238626,0.00016813981,0.000020507854,0.00040322682,0.000003859208,0.00066353014,0.9933088,0.004656576,0.00026972912],"study_design_scores_gemma":[0.0011371608,0.0003071094,0.00030651357,0.000093525545,0.000101801634,0.00025527918,0.00025718304,0.0000043623345,0.019610476,0.9765289,0.0012532835,0.00014439903],"about_ca_topic_score_codex":0.0000034185089,"about_ca_topic_score_gemma":9.437642e-7,"teacher_disagreement_score":0.018946946,"about_ca_system_score_codex":0.00004441772,"about_ca_system_score_gemma":0.00016521284,"threshold_uncertainty_score":0.61572313},"labels":[],"label_agreement":null},{"id":"W2022229702","doi":"10.1139/p05-055","title":"Nonlocal conserved currents for the modified chiral model in (2 + 1) dimensions","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Physics; Current (fluid); Conserved quantity; Mathematical physics; Theoretical physics; Statistical physics; Thermodynamics","score_opus":0.07200122967546706,"score_gpt":0.3014104684828021,"score_spread":0.22940923880733505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022229702","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88745195,0.0004418105,0.10835582,0.0017377296,0.001222658,0.00039363187,0.000040623985,0.0000065625486,0.0003492418],"genre_scores_gemma":[0.99733204,0.000005008556,0.0018875843,0.00019966498,0.00048448908,0.000004960467,8.853399e-7,0.00001701482,0.00006834096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921334,0.0000210138,0.0003038708,0.00007559733,0.000129094,0.00025707317],"domain_scores_gemma":[0.9991351,0.0001984224,0.00015286039,0.0001597942,0.00013326538,0.00022055813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016147814,0.0001081784,0.0002062288,0.00004745417,0.00012951785,0.000029782348,0.00026166788,0.000054222248,0.0000072805906],"category_scores_gemma":[0.00011055598,0.000077254,0.00013885321,0.000097531425,0.0000573061,0.000101883685,0.000010570217,0.00024035806,8.802953e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022896298,0.00002977658,0.000055492466,0.000009835874,0.00003708838,0.0000031470918,0.0007345748,0.04131314,0.000016489339,0.9477464,0.002839772,0.007191365],"study_design_scores_gemma":[0.0007719233,0.00002934157,0.000025421092,0.000031918975,0.000035753637,0.0000062861304,0.000053598542,0.24883974,0.0001249945,0.74962,0.000379687,0.00008131484],"about_ca_topic_score_codex":0.0002711954,"about_ca_topic_score_gemma":0.0034514004,"teacher_disagreement_score":0.2075266,"about_ca_system_score_codex":0.00012418504,"about_ca_system_score_gemma":0.0007787914,"threshold_uncertainty_score":0.3150327},"labels":[],"label_agreement":null},{"id":"W2022866055","doi":"10.1007/s11005-006-0107-1","title":"Verma Modules for Yangians","year":2006,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Yangian; Verma module; Irreducibility; Simple (philosophy); Quotient; Lie algebra","score_opus":0.022990511109885602,"score_gpt":0.27592231332821165,"score_spread":0.25293180221832606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022866055","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5622716,0.000011829357,0.4338251,0.0010068623,0.00024721998,0.0005105545,0.000007957979,0.0001032905,0.0020156025],"genre_scores_gemma":[0.95061135,4.1859496e-7,0.047938593,0.0005198681,0.0006763729,0.00009335104,0.0000066124753,0.00005115017,0.000102303835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988314,0.000027292475,0.00034561977,0.00022473403,0.00023135189,0.0003395858],"domain_scores_gemma":[0.9989837,0.0005527154,0.0000822636,0.00032222093,0.000024971356,0.000034159257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013939112,0.00018987583,0.00033212357,0.00003100597,0.0000557134,0.000036195477,0.00021693528,0.00007994568,0.000023499315],"category_scores_gemma":[0.00008045977,0.00016660338,0.00015393585,0.00012119957,0.000070296315,0.00008546468,0.00004244406,0.0001350336,0.000016405302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000102039,0.00013878073,0.00003256405,0.0001740342,0.000011509812,0.0000029299783,0.00013692542,0.00013661647,0.00076920434,0.9937919,0.0044905185,0.00030482828],"study_design_scores_gemma":[0.00057088584,0.00001698152,0.00006551944,0.000051070067,0.000023653727,0.0000019105792,0.000017367576,0.0034653305,0.0012510825,0.9942065,0.00012849645,0.00020123307],"about_ca_topic_score_codex":0.0000068911845,"about_ca_topic_score_gemma":0.0000017822589,"teacher_disagreement_score":0.38833976,"about_ca_system_score_codex":0.00005486368,"about_ca_system_score_gemma":0.0000076145725,"threshold_uncertainty_score":0.6793889},"labels":[],"label_agreement":null},{"id":"W2023379251","doi":"10.1088/1126-6708/2003/11/071","title":"Multicritical matrix-vector models of quantum orbifold geometry","year":2003,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Orbifold; Multicritical point; Matrix model; String (physics); Heterotic string theory; Amplitude; Bosonic string theory; Dimension (graph theory); String theory; Matrix (chemical analysis)","score_opus":0.025424645977923672,"score_gpt":0.2769422880730988,"score_spread":0.25151764209517513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023379251","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.584534,0.00036863543,0.41298592,0.00006206576,0.0015354587,0.000044751978,0.0000065396125,0.000016779199,0.0004458389],"genre_scores_gemma":[0.9910254,0.000049658745,0.008305929,0.00003869634,0.00045870157,0.0000013720098,6.4595673e-7,0.000040710067,0.00007892582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816775,0.00010250015,0.0007309696,0.00013586397,0.00059486384,0.00026806758],"domain_scores_gemma":[0.99821544,0.00041785272,0.0005067506,0.00029195184,0.00042522952,0.00014279623],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021727082,0.00020640179,0.00063091435,0.00008810813,0.000051171322,0.000022133547,0.00027316104,0.00013218824,0.000044765795],"category_scores_gemma":[0.00021887307,0.00016396375,0.0003097989,0.00025046247,0.00006807716,0.00023339197,0.000038984013,0.000247099,9.2005325e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045754994,0.00025612972,0.000010364801,0.0000472441,0.00013212029,0.000014810293,0.00007339695,0.001463135,0.00032997126,0.9970726,0.00042123708,0.00013324212],"study_design_scores_gemma":[0.0009130137,0.00019820132,0.000012591854,0.000057706486,0.00012456688,0.00004552909,0.00005607944,0.0015098819,0.016534481,0.98025465,0.00012633592,0.00016699027],"about_ca_topic_score_codex":0.000028378821,"about_ca_topic_score_gemma":6.330397e-7,"teacher_disagreement_score":0.40649134,"about_ca_system_score_codex":0.000057422494,"about_ca_system_score_gemma":0.00012748242,"threshold_uncertainty_score":0.66862476},"labels":[],"label_agreement":null},{"id":"W2023854993","doi":"10.1016/j.aim.2011.06.042","title":"A proof of the strong no loop conjecture","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke","keywords":"Mathematics; Conjecture; Algebraically closed field; Zero (linguistics); Dimension (graph theory); Pure mathematics; Loop (graph theory); Extension (predicate logic); Algebra over a field; Combinatorics","score_opus":0.03199852823663812,"score_gpt":0.28865766313538593,"score_spread":0.2566591348987478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023854993","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88151884,0.0014965023,0.01351113,0.00005199754,0.002140316,0.0016297344,0.000012121211,0.00009157416,0.09954781],"genre_scores_gemma":[0.9744149,0.000024383948,0.025047187,0.000016740061,0.00004995241,0.000026945616,2.6163312e-7,0.000026685817,0.00039297403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989084,0.00003688064,0.00043655036,0.00014865493,0.0002639993,0.00020549956],"domain_scores_gemma":[0.99883705,0.00021659276,0.00031188008,0.00053616887,0.00007090658,0.000027380978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017704062,0.00016214504,0.0003170668,0.00003447599,0.000039168517,0.0000058541823,0.0004588754,0.00008701099,0.00017228958],"category_scores_gemma":[0.00038640358,0.00009986363,0.000094248004,0.00018360325,0.00012511223,0.00013216348,0.00011679861,0.00018293505,0.0000033978883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009994278,0.00014859595,0.00042959113,0.0003755384,0.000014872859,0.0000012572344,0.0026113123,0.000023501283,0.000019732637,0.9956229,0.00003589814,0.0007068191],"study_design_scores_gemma":[0.00031001982,0.000046325073,0.000067729874,0.00018537564,0.000023305183,0.0000054603265,0.00034896488,0.00036875156,0.004049288,0.99431145,0.00016672224,0.000116588846],"about_ca_topic_score_codex":0.0000041576336,"about_ca_topic_score_gemma":0.000016511189,"teacher_disagreement_score":0.09915484,"about_ca_system_score_codex":0.000025699635,"about_ca_system_score_gemma":0.000034381163,"threshold_uncertainty_score":0.40723208},"labels":[],"label_agreement":null},{"id":"W2023856323","doi":"10.1007/s10801-006-8347-9","title":"Finite-dimensional crystals B2,s for quantum affine algebras of type D(1)n","year":2006,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Research Institute for Mathematical Sciences; University of British Columbia; National Science Foundation","keywords":"Quantum affine algebra; Mathematics; Affine transformation; Type (biology); Integer (computer science); Quantum; Pure mathematics; Basis (linear algebra); Quantum algebra; Combinatorics; Algebra over a field; Discrete mathematics; Filtered algebra; Cellular algebra; Algebra representation; Physics; Geometry; Quantum mechanics","score_opus":0.02711960552905551,"score_gpt":0.2830992121388306,"score_spread":0.2559796066097751,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023856323","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98977613,0.0011976251,0.0032824203,0.0004369363,0.00437798,0.00041732355,0.00001690319,0.000043737957,0.0004509348],"genre_scores_gemma":[0.995962,0.000026451122,0.0027690919,0.00005796265,0.00061599986,0.0000058114088,0.0000075776943,0.0000764994,0.0004785665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99653906,0.00009759893,0.0016765973,0.0002623281,0.00096850813,0.0004559393],"domain_scores_gemma":[0.99396163,0.002102157,0.0016685736,0.00045092957,0.0016526388,0.00016406292],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00092547404,0.00037539715,0.0010327128,0.00034485647,0.00014090887,0.000045200242,0.0005971069,0.00027850273,0.00015401722],"category_scores_gemma":[0.0015347434,0.0003170998,0.00052627316,0.0006391114,0.0001162712,0.00023195216,0.0001256441,0.00038999759,0.0000030140623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003184652,0.0005491773,0.00030256735,0.00016705267,0.00016238095,0.000017793947,0.00008772487,0.00024578572,0.001097394,0.980509,0.016394084,0.00014860516],"study_design_scores_gemma":[0.0030147452,0.0012019405,0.00036906704,0.00012554487,0.00021220783,0.000074152376,0.00005429018,0.0007142457,0.0029979807,0.9879547,0.002960169,0.00032099654],"about_ca_topic_score_codex":0.000018533,"about_ca_topic_score_gemma":0.0000030538504,"teacher_disagreement_score":0.013433915,"about_ca_system_score_codex":0.00014370414,"about_ca_system_score_gemma":0.00037223203,"threshold_uncertainty_score":0.9999281},"labels":[],"label_agreement":null},{"id":"W2024126538","doi":"10.4310/ajm.2014.v18.n5.a3","title":"Irreducible quasifinite modules over a class of Lie algebras of block type","year":2014,"lang":"en","type":"article","venue":"Asian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council; University of Science and Technology of China; National Natural Science Foundation of China; Wilfrid Laurier University; National Science Foundation","keywords":"Mathematics; Block (permutation group theory); Class (philosophy); Type (biology); Pure mathematics; Lie algebra; Algebra over a field; Combinatorics; Computer science; Artificial intelligence","score_opus":0.028316511581269018,"score_gpt":0.2830997427344973,"score_spread":0.25478323115322826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024126538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9909321,0.00013137424,0.004406592,0.00014713047,0.00063020515,0.00012609716,0.000003283418,0.000012406475,0.0036108077],"genre_scores_gemma":[0.9618205,0.000019400462,0.037778813,0.000018156055,0.0002133802,8.1846224e-7,3.9968864e-7,0.000042790427,0.00010578013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976601,0.00008784904,0.0012881048,0.00012390007,0.000620318,0.00021974486],"domain_scores_gemma":[0.9966637,0.00045927815,0.0017587105,0.0005138601,0.00048163184,0.00012281502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007902407,0.00021637118,0.0008506293,0.00018691999,0.000035825255,0.000017808003,0.00047122632,0.00014967249,0.0000996078],"category_scores_gemma":[0.0011076976,0.00016810281,0.00028399532,0.0002498474,0.00013440369,0.000110920686,0.000069401525,0.00025069894,0.0000042983593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054207925,0.00038417595,0.00016233303,0.000748472,0.00028885354,0.000004639984,0.004973322,0.00003913226,0.0017095476,0.98913336,0.0015845794,0.0009173948],"study_design_scores_gemma":[0.0008184354,0.00053686876,0.00014487201,0.0004802337,0.00020089671,0.00009676044,0.0014633494,0.00060007133,0.0067775697,0.9884834,0.00023728158,0.00016024616],"about_ca_topic_score_codex":0.0000020725574,"about_ca_topic_score_gemma":0.000001274615,"teacher_disagreement_score":0.033372223,"about_ca_system_score_codex":0.00002598272,"about_ca_system_score_gemma":0.00010041594,"threshold_uncertainty_score":0.68550336},"labels":[],"label_agreement":null},{"id":"W2024707463","doi":"10.1090/s0002-9939-09-09826-8","title":"Freyd’s generating hypothesis with almost split sequences","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Subcategory; Statement (logic); Sylow theorems; Group (periodic table); Pure mathematics; Combinatorics; Discrete mathematics; Finite group; Linguistics","score_opus":0.023094140777227056,"score_gpt":0.26050401394695877,"score_spread":0.23740987316973172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024707463","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99376357,0.000018109406,0.00043437962,0.001331369,0.000028310353,0.00029329758,0.000002157325,0.00008641435,0.004042398],"genre_scores_gemma":[0.85635805,0.0000074158934,0.14281559,0.0005148876,0.000118314776,0.00001502577,9.230011e-8,0.000024571564,0.0001460771],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983462,0.000010022859,0.00040519072,0.00028807094,0.00059757667,0.0003529398],"domain_scores_gemma":[0.99857324,0.0002983491,0.0006319842,0.00021598331,0.00018792479,0.00009249996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030839635,0.000254945,0.0005614142,0.000014589,0.00021577891,0.00007167912,0.0006030166,0.00005820244,0.00003639406],"category_scores_gemma":[0.00040721305,0.00014216294,0.00031315882,0.00045438224,0.00050536235,0.00012462935,0.000096652955,0.00022149098,0.0000025943261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029345314,0.00015157818,0.00045966168,0.00019022099,0.00013439188,2.1843434e-7,0.0024541898,0.0000044763183,0.0088255135,0.983657,0.0019839224,0.0021095],"study_design_scores_gemma":[0.00018536372,0.00020623014,0.0005712299,0.00013165685,0.00010610112,0.000015718091,0.002003014,0.0007491758,0.007707536,0.9880822,0.00002296021,0.00021884173],"about_ca_topic_score_codex":0.000009594879,"about_ca_topic_score_gemma":2.1940912e-7,"teacher_disagreement_score":0.1423812,"about_ca_system_score_codex":0.00005920235,"about_ca_system_score_gemma":0.00003811192,"threshold_uncertainty_score":0.57972366},"labels":[],"label_agreement":null},{"id":"W2026236474","doi":"10.1088/0305-4470/37/8/009","title":"Time quantization and<i>q</i>-deformations","year":2004,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and General","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Stochastic quantization; Quantization (signal processing); Harmonic oscillator; Subordination (linguistics); Brownian motion; Mathematics; Martingale (probability theory); Quantum; Classical mechanics; Statistical physics; Physics; Quantum mechanics; Applied mathematics; Philosophy; Algorithm; Path integral formulation","score_opus":0.01936031914717143,"score_gpt":0.27051774654908084,"score_spread":0.2511574274019094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026236474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94613343,0.000055040233,0.053067066,0.00037692813,0.00007548761,0.000064026055,0.0000012258739,0.000009874234,0.0002169078],"genre_scores_gemma":[0.97218263,0.000022429103,0.027269604,0.000074099604,0.0003654644,0.0000013009181,6.6930943e-7,0.000012537902,0.00007124834],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928254,0.000016545368,0.00033498983,0.00006178454,0.00019949998,0.00010464548],"domain_scores_gemma":[0.99947757,0.000067083995,0.0001969287,0.00007673238,0.000093701536,0.000088006615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014832971,0.00009769842,0.0002473793,0.000027972976,0.00007972516,0.00004392063,0.00006259766,0.000045027435,0.000015810649],"category_scores_gemma":[0.00007203415,0.00006746974,0.00006612165,0.0000672221,0.00006337608,0.00018865755,0.000034722332,0.000106851694,0.000003933646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000070595734,0.00006846793,0.0000040901796,0.000050246475,0.000028375354,0.0000016432556,0.00061177,0.000089329755,0.00043508213,0.99773544,0.000061743296,0.0009067586],"study_design_scores_gemma":[0.00058908237,0.00009967338,0.000025256073,0.000056018795,0.000051632862,0.00010892181,0.000043031043,0.0019059954,0.0006545432,0.9963599,0.000024864457,0.000081115184],"about_ca_topic_score_codex":8.4073866e-7,"about_ca_topic_score_gemma":1.1220178e-7,"teacher_disagreement_score":0.026049202,"about_ca_system_score_codex":0.000015371472,"about_ca_system_score_gemma":0.000028681108,"threshold_uncertainty_score":0.27513358},"labels":[],"label_agreement":null},{"id":"W2027750941","doi":"10.1016/j.jalgebra.2006.04.015","title":"A combinatorial description of the quantum Désarménien matrix via the q-Schur algebra","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Mathematics; Schur product theorem; Schur's theorem; Schur algebra; Algebra over a field; Quantum; Matrix (chemical analysis); Schur complement; Schur decomposition; Quantum algebra; Pure mathematics; Combinatorics; Filtered algebra; Physics; Quantum mechanics; Eigenvalues and eigenvectors","score_opus":0.018773958365396214,"score_gpt":0.26214750608984966,"score_spread":0.24337354772445344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027750941","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98958546,0.00047930513,0.0019460145,0.000981994,0.006144185,0.0003041257,0.0000035665157,0.000020354542,0.0005350047],"genre_scores_gemma":[0.99781513,0.000014740599,0.00037828655,0.000071561204,0.0015303675,0.0000039543993,6.5114034e-7,0.000039612594,0.00014566685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99704826,0.00027585178,0.0011740549,0.00016058462,0.0010172271,0.00032400768],"domain_scores_gemma":[0.9969779,0.00041268673,0.0015343545,0.0005563325,0.0004437919,0.00007489732],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095528964,0.00026030405,0.00053519604,0.00010473852,0.00024228627,0.000088878536,0.0009737091,0.00018607888,0.0000870903],"category_scores_gemma":[0.00030624928,0.00013742896,0.0005544413,0.00039606635,0.0001892864,0.00027635123,0.00015497993,0.0005856466,0.0000045500437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001426285,0.00018088768,0.0007258693,0.000039784314,0.000109866145,0.000006325977,0.0003495802,0.000031047457,0.0024855463,0.9884242,0.0073485584,0.00015574024],"study_design_scores_gemma":[0.0014237565,0.00021883819,0.0038898669,0.000081107035,0.0002087354,0.00016500549,0.0001600007,0.00017399172,0.003242261,0.9892961,0.0009829397,0.00015742145],"about_ca_topic_score_codex":0.000092549024,"about_ca_topic_score_gemma":0.000008975815,"teacher_disagreement_score":0.008229709,"about_ca_system_score_codex":0.000105838764,"about_ca_system_score_gemma":0.0001774805,"threshold_uncertainty_score":0.560419},"labels":[],"label_agreement":null},{"id":"W2027938286","doi":"10.1007/s10801-005-3019-8","title":"U-Turn Alternating Sign Matrices, Symplectic Shifted Tableaux and their Weighted Enumeration","year":2005,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Bijection; Mathematics; Symplectic geometry; Sign (mathematics); Enumeration; Combinatorics; Generalization; Young tableau; Context (archaeology); Pure mathematics; Mathematical analysis","score_opus":0.017306087662541696,"score_gpt":0.26339602497649783,"score_spread":0.24608993731395615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027938286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.990362,0.0026231434,0.004003465,0.00075024547,0.0015594369,0.0002336133,0.0000027551,0.00006424402,0.0004011104],"genre_scores_gemma":[0.99628806,0.0003120256,0.002243819,0.00013509407,0.000833608,0.0000047149792,0.000001681574,0.00006086524,0.00012014577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974062,0.0001757113,0.0011043138,0.0002691788,0.0006249092,0.00041970273],"domain_scores_gemma":[0.9968504,0.00086755585,0.0012020132,0.0003098594,0.0005217806,0.00024841676],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008480079,0.00037686987,0.00067224656,0.00032374964,0.00027291014,0.00021161545,0.00043498393,0.00021024635,0.00008693533],"category_scores_gemma":[0.00052848214,0.0002932347,0.0001962555,0.00056268316,0.000055138782,0.0006206256,0.00012255201,0.0006594684,0.0000039741217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007961525,0.00025329916,0.00053058285,0.00009639885,0.00025366378,0.00002170638,0.001760979,0.00001884705,0.00050743524,0.9846469,0.0012649471,0.010565582],"study_design_scores_gemma":[0.0019471315,0.00039018234,0.0003217117,0.000112794216,0.00012271597,0.00033607119,0.00021601746,0.0021387127,0.002091402,0.9903254,0.0016654349,0.00033242983],"about_ca_topic_score_codex":0.000011434692,"about_ca_topic_score_gemma":0.0000054770667,"teacher_disagreement_score":0.010233152,"about_ca_system_score_codex":0.00026916212,"about_ca_system_score_gemma":0.00018003509,"threshold_uncertainty_score":0.99995196},"labels":[],"label_agreement":null},{"id":"W2028099016","doi":"10.1007/s10468-009-9148-3","title":"The Antipode of a Dual Quasi-Hopf Algebra with Nonzero Integrals is Bijective","year":2009,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Bijection; Mathematics; Hopf algebra; Coalgebra; Quasitriangular Hopf algebra; Pure mathematics; Injective function; Dimension (graph theory); Representation theory of Hopf algebras; Unimodular matrix; Dual (grammatical number); Field (mathematics); Algebra over a field; Filtered algebra; Combinatorics; Division algebra","score_opus":0.018091266725800026,"score_gpt":0.2999752549981902,"score_spread":0.2818839882723902,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028099016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9919652,0.0006189497,0.0041498872,0.0008117339,0.00018854161,0.00039664807,0.000005497212,0.00005181459,0.0018117252],"genre_scores_gemma":[0.9982917,0.00015185823,0.0006597216,0.00030441882,0.00009925242,0.000013580171,0.0000028215813,0.000020022217,0.0004566523],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855506,0.00020954081,0.00036434908,0.0003074321,0.0003310455,0.0002325543],"domain_scores_gemma":[0.99805456,0.0010014555,0.00028182022,0.00042770573,0.00016260044,0.0000718756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044288297,0.00020237376,0.0003065012,0.00006849606,0.00027066737,0.00006852493,0.00017013254,0.00009554491,0.00006565287],"category_scores_gemma":[0.00021568511,0.00011350012,0.00009457041,0.00024583726,0.0002814387,0.00016038687,0.00004787093,0.00016897617,0.0000030051197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003522067,0.00007326821,0.00034118674,0.000011943108,0.00013072371,0.0000034732334,0.00299074,0.0000012212319,0.00029940662,0.9843919,0.00054333865,0.010860561],"study_design_scores_gemma":[0.00071751885,0.00040272085,0.0028088004,0.00004148941,0.000081100756,0.000026472468,0.002768702,0.000038245,0.013107941,0.9797845,0.0000648086,0.0001577038],"about_ca_topic_score_codex":0.00003713651,"about_ca_topic_score_gemma":0.000007321435,"teacher_disagreement_score":0.012808534,"about_ca_system_score_codex":0.000014607598,"about_ca_system_score_gemma":0.000044634544,"threshold_uncertainty_score":0.46284008},"labels":[],"label_agreement":null},{"id":"W2028255661","doi":"10.1007/s10469-011-9120-2","title":"Universal theories for partially commutative metabelian groups","year":2011,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Commutative property; Pure mathematics; Commutative ring; Metabelian group; Algebra over a field; Group (periodic table); Abelian group; Physics","score_opus":0.06701614326041985,"score_gpt":0.28528427553391833,"score_spread":0.21826813227349848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028255661","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.964801,0.0004096831,0.024925392,0.0002331634,0.0006162956,0.0005660806,0.0000150558435,0.0001470514,0.0082862545],"genre_scores_gemma":[0.9942837,0.000019507972,0.005229687,0.00019584502,0.000076835684,0.000026509868,0.000003524993,0.000016628115,0.00014775957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929655,0.000059120895,0.00015785175,0.00018630142,0.000085657695,0.00021452057],"domain_scores_gemma":[0.9993021,0.0003085776,0.00008173552,0.0001783151,0.000059153488,0.00007014509],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016359077,0.00015046372,0.00023517305,0.000032081152,0.00017335864,0.000023683408,0.00015222642,0.00008363061,0.00013604904],"category_scores_gemma":[0.00009622747,0.00011112787,0.000073693765,0.000066945955,0.00014504736,0.00011039336,0.00006614811,0.00008162606,0.0000034760972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000804869,0.000033705433,0.00015623058,0.000019787964,0.000076659955,0.0000029481794,0.0037683714,1.1297858e-7,0.000017120303,0.9949979,0.00014460013,0.0007020829],"study_design_scores_gemma":[0.00058807497,0.0002659929,0.00046172505,0.0000070378533,0.00010092204,0.00000481054,0.001249364,0.000029153065,0.0005825679,0.9962725,0.00028079702,0.00015703845],"about_ca_topic_score_codex":0.000027727197,"about_ca_topic_score_gemma":0.000021805863,"teacher_disagreement_score":0.029482678,"about_ca_system_score_codex":0.000009782694,"about_ca_system_score_gemma":0.000020293666,"threshold_uncertainty_score":0.4531663},"labels":[],"label_agreement":null},{"id":"W2028291148","doi":"10.1142/s021949881550084x","title":"Generalized Artin–Schreier polynomials","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Indecomposable module; Tensor product; Irreducibility; Field (mathematics); Pure mathematics; Irreducible polynomial; Polynomial; Combinatorics; Finite field; Field extension; Discrete mathematics; Matrix polynomial; Mathematical analysis","score_opus":0.02299614597718757,"score_gpt":0.28935151261545855,"score_spread":0.266355366638271,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028291148","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9841348,0.00065257854,0.0121089695,0.0011355446,0.00021721564,0.00021747418,0.0000020656828,0.000020107775,0.0015112244],"genre_scores_gemma":[0.9945022,0.00008150214,0.00397403,0.00023539618,0.0008274037,0.000016822833,6.1421895e-7,0.000016972392,0.00034507216],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906164,0.00004610708,0.0004647125,0.000107707296,0.00018262255,0.00013719274],"domain_scores_gemma":[0.9988985,0.00022288173,0.00039749543,0.0001727477,0.00017254667,0.00013584705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032254527,0.000109381515,0.00027576264,0.00007022213,0.00012432391,0.000044170814,0.00017193676,0.00007406499,0.00010773979],"category_scores_gemma":[0.00015754584,0.000082963685,0.00009508751,0.00010236507,0.000026587864,0.00011245237,0.00003600512,0.00013787113,0.000007667886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012968433,0.000034856108,0.000026623758,0.000014624822,0.00003726065,2.633828e-7,0.00008769308,0.0000024253893,0.0022170264,0.9922192,0.0024507707,0.0028963],"study_design_scores_gemma":[0.00062216027,0.0000722186,0.00020786746,0.000013584037,0.00007352333,0.00004849008,0.000025100057,0.00010008642,0.0031067263,0.96217287,0.033450875,0.000106519605],"about_ca_topic_score_codex":0.0000011262563,"about_ca_topic_score_gemma":5.255726e-7,"teacher_disagreement_score":0.031000104,"about_ca_system_score_codex":0.000014015939,"about_ca_system_score_gemma":0.000035703735,"threshold_uncertainty_score":0.33831608},"labels":[],"label_agreement":null},{"id":"W2028322679","doi":"10.1093/qmath/ham056","title":"MULTIPLICATIVE STRUCTURES FOR KOSZUL ALGEBRAS","year":2007,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Multiplicative function; Library science; Mathematics; Computer science","score_opus":0.03822447967039452,"score_gpt":0.3292165441872883,"score_spread":0.29099206451689374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028322679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7369888,0.00026089445,0.26082027,0.00030765883,0.0007614122,0.00052934216,0.0000050406297,0.000029305294,0.00029728885],"genre_scores_gemma":[0.91991717,0.0000063449247,0.07913998,0.00007980412,0.00071305054,0.0000064259157,4.800631e-7,0.000046372348,0.00009034996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979358,0.000050212322,0.0010446142,0.00012224838,0.0004971057,0.00035002327],"domain_scores_gemma":[0.99509215,0.0026868633,0.0011988563,0.00045325546,0.00044898267,0.00011988323],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018934328,0.00023900311,0.0004997121,0.000101445235,0.00018585804,0.000061627106,0.00072362256,0.00012018513,0.000035567882],"category_scores_gemma":[0.00044223588,0.00013622695,0.000333838,0.00013660312,0.00011798311,0.0001250867,0.000022891581,0.00030716934,0.000003484139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000094777584,0.00012937702,0.0000084777475,0.00011162144,0.00020423779,0.0000047666695,0.0151723735,0.000004489221,0.0004148769,0.97482115,0.0014612848,0.0075725866],"study_design_scores_gemma":[0.0009615733,0.00062880275,0.00006461543,0.000060573613,0.00016506389,0.00019849533,0.0076072444,0.00013759006,0.00202096,0.9875766,0.00041753607,0.00016091763],"about_ca_topic_score_codex":0.0000019525864,"about_ca_topic_score_gemma":0.000004704877,"teacher_disagreement_score":0.18292841,"about_ca_system_score_codex":0.00005661073,"about_ca_system_score_gemma":0.00005750995,"threshold_uncertainty_score":0.5555174},"labels":[],"label_agreement":null},{"id":"W2028545967","doi":"10.1007/s00220-012-1586-9","title":"SAYD Modules over Lie-Hopf Algebras","year":2012,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Hopf algebra; Isomorphism (crystallography); Lie algebra; Cohomology; Algebra over a field; Quasitriangular Hopf algebra; Universal enveloping algebra","score_opus":0.09268966294290489,"score_gpt":0.36659753946041795,"score_spread":0.2739078765175131,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028545967","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8870499,0.0012752014,0.049434636,0.0010533041,0.00057354383,0.0010843226,0.000014130607,0.00040903577,0.059105933],"genre_scores_gemma":[0.9461448,0.000054055858,0.053188045,0.00011261147,0.00021291307,0.00010297938,0.000008820474,0.000050743616,0.00012503781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983811,0.00016550625,0.00052478747,0.00017387359,0.00031333786,0.00044139777],"domain_scores_gemma":[0.9958032,0.0013086,0.00015241849,0.0025403027,0.00006171509,0.00013380169],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043378666,0.00023787319,0.00040087153,0.00005539392,0.00020179011,0.000046187608,0.0011413274,0.00014021857,0.00017232107],"category_scores_gemma":[0.00045828213,0.00021342166,0.0001405605,0.00034730084,0.00023145996,0.0003218131,0.00066671043,0.00043687562,0.0001445155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033980427,0.000665419,0.00047183386,0.0000613167,0.000025937163,1.6002586e-7,0.001276533,0.0000030066183,0.000030573516,0.99513835,0.00071063184,0.0016128479],"study_design_scores_gemma":[0.0003089197,0.000011590183,0.00063377206,0.00007102455,0.000031658423,0.0000027658077,0.00016779531,0.0020191611,0.00011451879,0.99563164,0.00076398376,0.00024315111],"about_ca_topic_score_codex":0.0000059255553,"about_ca_topic_score_gemma":0.0000030974054,"teacher_disagreement_score":0.059094902,"about_ca_system_score_codex":0.0001022901,"about_ca_system_score_gemma":0.000025264859,"threshold_uncertainty_score":0.8703083},"labels":[],"label_agreement":null},{"id":"W2029121042","doi":"10.1016/j.aim.2005.04.013","title":"Projectively simple rings","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Automorphism; Subvariety; Conjecture; Pure mathematics; Abelian group; Simple (philosophy); Invariant (physics); Abelian variety; Projective variety; Noetherian; Line bundle; Variety (cybernetics); Combinatorics; Algebra over a field","score_opus":0.022664703934704846,"score_gpt":0.3311358569899209,"score_spread":0.30847115305521605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029121042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92523044,0.0012249172,0.017437655,0.00022356512,0.00043787726,0.0008955118,0.0000051601437,0.0003032411,0.054241616],"genre_scores_gemma":[0.90471965,0.0001097782,0.094440565,0.000061980114,0.00020147512,0.000053789783,9.4651864e-7,0.00003805567,0.0003737655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875396,0.000022252829,0.00041981656,0.0002245411,0.0002722948,0.00030710816],"domain_scores_gemma":[0.9990385,0.00036771566,0.00016690213,0.00033159496,0.000047957143,0.00004731536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023084185,0.00018906847,0.00030979374,0.00008196731,0.000059992304,0.000025062554,0.00027447156,0.00007904198,0.00012459475],"category_scores_gemma":[0.00036978125,0.00016098854,0.00006454951,0.00021562175,0.00005254259,0.00040098658,0.0000804159,0.00017842212,0.00002840514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068208024,0.00014779436,0.000252447,0.00013789043,0.000008326309,0.0000024267513,0.0018882569,0.00013721039,0.000018684099,0.9883945,0.00013100567,0.008874651],"study_design_scores_gemma":[0.00040678767,0.000027249669,0.00007073762,0.000054615928,0.000010550449,0.000009113947,0.00039990467,0.0016902481,0.0005116279,0.9877969,0.008823847,0.00019840994],"about_ca_topic_score_codex":0.0000029838006,"about_ca_topic_score_gemma":0.00003316409,"teacher_disagreement_score":0.07700291,"about_ca_system_score_codex":0.000095580814,"about_ca_system_score_gemma":0.000025605235,"threshold_uncertainty_score":0.6564922},"labels":[],"label_agreement":null},{"id":"W2029818716","doi":"10.1142/s0219199714500096","title":"Invariant bilinear forms of algebras given by faithfully flat descent","year":2013,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Mathematics; Bilinear form; Pure mathematics; Invariant (physics); Lie algebra; Descent (aeronautics); Affine transformation; Bilinear interpolation; Uniqueness; Symmetric bilinear form; Non-associative algebra; Algebra over a field; Lie conformal algebra; Mathematical analysis; Mathematical physics","score_opus":0.10032060895674408,"score_gpt":0.3238790301191725,"score_spread":0.22355842116242844,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029818716","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.959982,0.0025856793,0.00958457,0.0029744452,0.00021283417,0.002967324,0.00004855277,0.00020243636,0.021442179],"genre_scores_gemma":[0.9586732,0.00013435034,0.040568136,0.00006995172,0.000016112048,0.00019194599,0.000035783756,0.000051030413,0.00025951985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99781805,0.0001569311,0.0012209073,0.00022444337,0.00031947458,0.00026017474],"domain_scores_gemma":[0.9953346,0.0011119285,0.0005475501,0.0026818684,0.0002244246,0.00009958816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055546756,0.0002678694,0.0005928666,0.0001472824,0.000119252836,0.000057529352,0.001654474,0.00018258311,0.0001439351],"category_scores_gemma":[0.00055849773,0.00022480969,0.0001315511,0.00036031997,0.00025640576,0.0003569972,0.000652085,0.00034942033,0.00003322881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008360393,0.00063274475,0.00069041894,0.0003050177,0.00008022384,8.9615247e-7,0.0031835418,0.0000022430404,0.0010726979,0.9811423,0.012434396,0.0004472039],"study_design_scores_gemma":[0.0007432911,0.00007019952,0.000064471766,0.00025473983,0.000020668269,0.0000052319397,0.0016327695,0.0040070103,0.0018453852,0.9900881,0.0010074743,0.00026065906],"about_ca_topic_score_codex":0.00011088179,"about_ca_topic_score_gemma":0.000023384731,"teacher_disagreement_score":0.030983564,"about_ca_system_score_codex":0.00008357794,"about_ca_system_score_gemma":0.00014863038,"threshold_uncertainty_score":0.91674733},"labels":[],"label_agreement":null},{"id":"W2029819824","doi":"10.2140/ant.2014.8.857","title":"Yangians and quantizations of slices in the affine Grassmannian","year":2014,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":82,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Yangian; Mathematics; Quotient; Grassmannian; Conjecture; Affine transformation; Quantization (signal processing); Pure mathematics; Quantum; Scheme (mathematics); Algebra over a field; Mathematical analysis; Algorithm; Physics; Quantum mechanics","score_opus":0.01681092057809338,"score_gpt":0.2847405043914128,"score_spread":0.26792958381331944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029819824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840426,0.000060426355,0.0020088837,0.00035566103,0.00014778113,0.0001813055,0.0000083440345,0.000033135504,0.013161859],"genre_scores_gemma":[0.998906,0.000008311426,0.00052077504,0.00023269646,0.00009565209,0.000017837903,0.0000056354406,0.000019244151,0.000193821],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989902,0.00026545522,0.00024744554,0.00015893824,0.0001700246,0.00016795368],"domain_scores_gemma":[0.998106,0.001363391,0.000109725115,0.00035575862,0.000034443103,0.000030675124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061397813,0.00012633509,0.00020779413,0.00004273806,0.00007600726,0.000025810848,0.00026357305,0.00007464924,0.00046344262],"category_scores_gemma":[0.00034838077,0.00008601093,0.000053737087,0.0001964039,0.0001181372,0.00007597527,0.00005245174,0.00012001777,0.000009540703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000111426825,0.000045033554,0.0012967761,0.000027775715,0.000018988467,6.6731894e-7,0.0025403576,0.0000010349266,0.000017006822,0.99395645,0.0006422983,0.0014424877],"study_design_scores_gemma":[0.00023341243,0.000026813119,0.0038536547,0.000030666914,0.00003096636,0.000009330476,0.000843949,0.000058073285,0.00007761759,0.9936448,0.0010866115,0.00010414961],"about_ca_topic_score_codex":0.000036924816,"about_ca_topic_score_gemma":0.00007613877,"teacher_disagreement_score":0.014863422,"about_ca_system_score_codex":0.0000069855278,"about_ca_system_score_gemma":0.000013999582,"threshold_uncertainty_score":0.50743717},"labels":[],"label_agreement":null},{"id":"W2030190476","doi":"10.1007/s11005-004-4303-6","title":"Para-Hopf Algebroids and their Cyclic Cohomology","year":2004,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Hopf algebra; Mathematics; Cyclic homology; Cohomology; Pure mathematics; Quasitriangular Hopf algebra; Representation theory of Hopf algebras; Algebra over a field; Division algebra; Algebra representation","score_opus":0.028274404381947157,"score_gpt":0.2779720971638957,"score_spread":0.24969769278194853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030190476","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92149174,0.000034375535,0.07543449,0.0018813652,0.00014897232,0.00027141854,0.0000018601631,0.000081294835,0.00065445964],"genre_scores_gemma":[0.9887307,0.0000063219995,0.009457876,0.0014957043,0.00021635072,0.000035797457,0.0000017715892,0.00004244318,0.00001299156],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986681,0.000057693094,0.000377377,0.00031513924,0.0001866903,0.00039500376],"domain_scores_gemma":[0.9988998,0.00049423013,0.00009570376,0.00040536508,0.000016981758,0.00008791738],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017140205,0.0002751007,0.0005000617,0.000041383377,0.00006813247,0.000036127163,0.00023251437,0.00012768245,0.000026564587],"category_scores_gemma":[0.00012489612,0.00021321139,0.00009594754,0.00016327303,0.00023589858,0.000098192824,0.0001211562,0.00033159362,0.000025682144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010177416,0.00013370458,0.00006354525,0.000106092404,0.000029484792,0.000013182208,0.0012224361,0.000029266854,0.0016514957,0.9961146,0.00010869594,0.00051731145],"study_design_scores_gemma":[0.000874384,0.00004051293,0.00012726059,0.000076318545,0.000017718274,0.000027518383,0.000078997786,0.00014274586,0.0019064968,0.9964464,0.000022143784,0.00023953452],"about_ca_topic_score_codex":0.0000074347563,"about_ca_topic_score_gemma":0.0000017760804,"teacher_disagreement_score":0.06723898,"about_ca_system_score_codex":0.0000692111,"about_ca_system_score_gemma":0.000017055565,"threshold_uncertainty_score":0.8694508},"labels":[],"label_agreement":null},{"id":"W2030844573","doi":"10.1016/j.jpaa.2004.05.001","title":"Irreducible representations for Virasoro-toroidal Lie algebras","year":2004,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"York University","keywords":"Mathematics; Virasoro algebra; Vertex (graph theory); Pure mathematics; Lie algebra; Lie conformal algebra; Irreducible representation; (g,K)-module; Algebra over a field; Vertex operator algebra; Current algebra; Algebra representation; Combinatorics; Adjoint representation of a Lie algebra; Cellular algebra; Graph; Jordan algebra","score_opus":0.027379579575333615,"score_gpt":0.2966097972836565,"score_spread":0.2692302177083229,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030844573","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9858177,0.00037977495,0.010325473,0.0011539982,0.0006877702,0.00037964637,0.0000069362895,0.000029540359,0.0012192017],"genre_scores_gemma":[0.98477095,0.00005386768,0.013806671,0.00020909031,0.0010102559,0.000020796131,0.0000023194514,0.00003430708,0.000091723625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986569,0.000014135322,0.0005603822,0.00020772144,0.00030693726,0.00025390481],"domain_scores_gemma":[0.9987896,0.00023215776,0.00042527687,0.0002021971,0.0001846292,0.00016613981],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028790615,0.00019400155,0.000402395,0.00010793216,0.00018002532,0.00008999702,0.00022465945,0.00013346625,0.000041089144],"category_scores_gemma":[0.00016976359,0.00015544843,0.00018094576,0.00013824103,0.000062868006,0.0001703645,0.000049350725,0.00023785626,0.000002711044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009875491,0.000100214864,0.000026536796,0.000049877875,0.00011302807,0.000004313447,0.0007442954,0.000029032628,0.0024651694,0.99256706,0.0028712049,0.0009305317],"study_design_scores_gemma":[0.0022771058,0.0001877471,0.0001634223,0.000035880843,0.00013535106,0.00008860302,0.0006606748,0.000002265084,0.008901606,0.98672754,0.00064539094,0.00017444456],"about_ca_topic_score_codex":0.0000036050433,"about_ca_topic_score_gemma":0.0000034545847,"teacher_disagreement_score":0.006436437,"about_ca_system_score_codex":0.00004757029,"about_ca_system_score_gemma":0.00012742326,"threshold_uncertainty_score":0.6339003},"labels":[],"label_agreement":null},{"id":"W2030885585","doi":"10.48550/arxiv.math/0511026","title":"Excision in Hopf cyclic homology","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Homology (biology); Cyclic homology; Mathematics; Hopf algebra; Pure mathematics; Genetics; Biology; Algebra over a field; Gene","score_opus":0.09535467040502955,"score_gpt":0.3473697546714375,"score_spread":0.25201508426640795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030885585","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99366176,0.00049873115,0.00032282597,0.00046756899,0.002374131,0.0004022722,0.0000045346346,0.00012188638,0.0021462846],"genre_scores_gemma":[0.9971001,0.000168847,0.00079331937,0.0001957439,0.0009349278,0.00006959641,0.00001436036,0.00006637608,0.00065668643],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99792755,0.00012676211,0.0006067548,0.00064399507,0.00026242193,0.0004324952],"domain_scores_gemma":[0.99826735,0.00028061913,0.00027818783,0.0010235762,0.000057794696,0.00009249666],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002614471,0.00038590468,0.0006761679,0.0001834728,0.000059064558,0.000027873803,0.0006292468,0.000793223,0.00029976014],"category_scores_gemma":[0.0002991193,0.00035809109,0.00020637763,0.00012875258,0.000056227054,0.00005440866,0.0009575467,0.0010814714,0.00011993721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021808411,0.00079653366,0.3054936,0.00066891656,0.00030335056,0.00030821003,0.0038335228,0.0005594426,0.00040203988,0.66971725,0.006271153,0.011427876],"study_design_scores_gemma":[0.0005850825,0.000038686623,0.050606277,0.00014536087,0.00003872803,0.000012890858,0.00003594262,0.000093326664,0.00020755724,0.9465507,0.0012921452,0.00039324697],"about_ca_topic_score_codex":0.00014021162,"about_ca_topic_score_gemma":0.000088747474,"teacher_disagreement_score":0.27683347,"about_ca_system_score_codex":0.00017100219,"about_ca_system_score_gemma":0.00010835635,"threshold_uncertainty_score":0.9998871},"labels":[],"label_agreement":null},{"id":"W2031112917","doi":"10.1090/s0002-9939-04-07421-0","title":"On the discrete groups of Moonshine","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; Concordia University","funders":"","keywords":"Artificial intelligence; Algorithm; Annotation; Computer science","score_opus":0.01649364962590388,"score_gpt":0.25877516726114796,"score_spread":0.24228151763524408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031112917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9878302,0.000057638354,0.00058393955,0.006444247,0.00016722098,0.00082220207,0.00002301834,0.00004234915,0.004029169],"genre_scores_gemma":[0.9942188,0.00005067833,0.0047399187,0.0005241324,0.00015473826,0.000036256344,3.228609e-7,0.00007230306,0.00020280389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968576,0.000026810238,0.0009844173,0.00039592208,0.0012040561,0.0005312277],"domain_scores_gemma":[0.9959725,0.0011528705,0.0018615156,0.00057065615,0.0003121565,0.00013029884],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008329424,0.00047546433,0.0011211177,0.000023446713,0.0002995863,0.0000683714,0.0015847469,0.00014392137,0.00014044392],"category_scores_gemma":[0.0016827894,0.00024118801,0.0012714652,0.0006812411,0.0023505073,0.00010260939,0.0006469501,0.00070324144,0.000018701137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006280199,0.00035616747,0.00007465311,0.0008508444,0.0003378485,9.3377906e-8,0.0063657905,0.000014739831,0.0014568644,0.9888582,0.0015621119,0.00005986148],"study_design_scores_gemma":[0.0005260541,0.00038853017,0.0002892994,0.0008194379,0.00033841108,0.00000685814,0.0054726433,0.00036901375,0.008983351,0.9825278,0.00001557349,0.0002630266],"about_ca_topic_score_codex":0.000048159458,"about_ca_topic_score_gemma":4.3106033e-7,"teacher_disagreement_score":0.007526487,"about_ca_system_score_codex":0.00015581254,"about_ca_system_score_gemma":0.000086259664,"threshold_uncertainty_score":0.9835362},"labels":[],"label_agreement":null},{"id":"W2031530356","doi":"10.1016/j.aim.2005.10.005","title":"Classification of irreducible weight modules over higher rank Virasoro algebras","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Rank (graph theory); Virasoro algebra; Subalgebra; Pure mathematics; Series (stratigraphy); Verma module; Algebra over a field; Algebra representation; Cellular algebra; Combinatorics; Lie algebra","score_opus":0.025352690700623064,"score_gpt":0.31309720762722,"score_spread":0.2877445169265969,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031530356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9659997,0.002760175,0.0071139736,0.00025255722,0.00090764096,0.00053527136,0.0000091881775,0.000120820936,0.022300642],"genre_scores_gemma":[0.9357623,0.0003904034,0.062876105,0.000032621327,0.00023877296,0.00004063937,0.0000034229406,0.00004486002,0.00061087287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982082,0.000042759322,0.0007579379,0.0002891246,0.00041863672,0.00028333464],"domain_scores_gemma":[0.9983674,0.000453322,0.000413057,0.00063526066,0.00007617075,0.000054759046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027275924,0.00024107292,0.00047437608,0.00012431767,0.000048126374,0.00001901867,0.00036681304,0.000143901,0.00048479458],"category_scores_gemma":[0.0001713443,0.00020538528,0.00010722154,0.00028129108,0.00010856582,0.00047478947,0.00006719599,0.00017296508,0.000018285991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015658617,0.00027835416,0.00034336073,0.00026276128,0.000020946827,7.3325754e-7,0.00067652774,0.00014855943,0.0005106345,0.991945,0.0002988736,0.005498539],"study_design_scores_gemma":[0.00070514594,0.000028409007,0.0014142987,0.00014367014,0.00003409166,0.0000026673624,0.00012964329,0.002903794,0.002228964,0.98741597,0.0047651613,0.00022817754],"about_ca_topic_score_codex":0.0000031525092,"about_ca_topic_score_gemma":0.000013167806,"teacher_disagreement_score":0.055762134,"about_ca_system_score_codex":0.00008641668,"about_ca_system_score_gemma":0.000025030075,"threshold_uncertainty_score":0.8375369},"labels":[],"label_agreement":null},{"id":"W2031777414","doi":"10.4153/cjm-2008-013-4","title":"Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; York University","funders":"","keywords":"Noncommutative geometry; Mathematics; Hopf algebra; Quantum group; Noncommutative algebraic geometry; Symmetric algebra; Subspace topology; Algebra over a field; Pure mathematics; Combinatorics; Cellular algebra; Noncommutative quantum field theory; Algebra representation; Mathematical analysis","score_opus":0.041191922907284066,"score_gpt":0.2389146209438533,"score_spread":0.19772269803656922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031777414","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9975887,0.00028513002,0.00053075876,0.00009347735,0.00038647497,0.00013173831,0.0000051999655,0.0000024000199,0.00097615586],"genre_scores_gemma":[0.99130714,0.000030858548,0.008511048,0.00004233202,0.0000638743,8.8605674e-7,1.4281548e-7,0.000019253039,0.000024439252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99860597,0.00008486186,0.0007337614,0.00007951899,0.00025192232,0.00024397078],"domain_scores_gemma":[0.9981864,0.0005967999,0.00061488134,0.0002691275,0.00012686927,0.00020592414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006307925,0.00013467009,0.00043031885,0.0002912245,0.00013995942,0.00002021196,0.0004310796,0.00009501211,0.000024205085],"category_scores_gemma":[0.0017871696,0.000094164265,0.0000812361,0.00053009286,0.00014003036,0.00010623313,0.00004721712,0.00029455268,4.2091244e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006882923,0.000096294105,0.040519472,0.00028618064,0.00009111881,0.00012216406,0.0071311058,0.00003326197,0.000047333262,0.9506638,0.00072641944,0.00027598397],"study_design_scores_gemma":[0.0009943767,0.00008009763,0.026840035,0.0005106634,0.00006446171,0.0010789287,0.00084657606,0.0005535602,0.00012946916,0.968662,0.00007557788,0.00016422562],"about_ca_topic_score_codex":0.0009477836,"about_ca_topic_score_gemma":0.004862839,"teacher_disagreement_score":0.017998243,"about_ca_system_score_codex":0.000088300614,"about_ca_system_score_gemma":0.00055385614,"threshold_uncertainty_score":0.38399073},"labels":[],"label_agreement":null},{"id":"W2032127054","doi":"10.1016/j.aim.2014.05.018","title":"False theta functions and the Verlinde formula","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Fusion rules; Vertex (graph theory); Conformal field theory; Pure mathematics; Theta function; Conformal map; Vertex operator algebra; Representation theory; Transformation (genetics); Operator algebra; Algebra over a field; Algebra representation; Discrete mathematics; Fusion; Graph; Mathematical analysis","score_opus":0.013644560519776222,"score_gpt":0.2824997385729796,"score_spread":0.26885517805320336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032127054","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6922619,0.0052802404,0.14013427,0.0014548688,0.0025654945,0.0021237154,0.000008345454,0.00033803468,0.15583313],"genre_scores_gemma":[0.9918539,0.00024384147,0.0067214575,0.000063158666,0.00011685108,0.00005378151,7.7663486e-7,0.000024483585,0.0009217703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999042,0.00006374586,0.0003313945,0.00015902295,0.00020452283,0.0001993594],"domain_scores_gemma":[0.99780333,0.0015675651,0.0001411379,0.00041892,0.00003261746,0.000036434816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057742966,0.00015291417,0.00030349888,0.000038837643,0.00012818797,0.000037436268,0.0002156297,0.0000645213,0.000026306103],"category_scores_gemma":[0.0007055697,0.000089942325,0.000062191386,0.000119767035,0.00017491826,0.00017353581,0.00008807983,0.00017109337,0.000008511264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016135076,0.000033195804,0.000055937064,0.000079444755,0.000009492222,2.8226557e-7,0.00095796527,0.00005189778,0.000001612051,0.995514,0.000035030414,0.0032450208],"study_design_scores_gemma":[0.0012357187,0.000022303006,0.000024896277,0.000048268135,0.00003171189,0.000009733713,0.0005796774,0.006805093,0.000018680372,0.9879,0.0032074214,0.000116506264],"about_ca_topic_score_codex":0.0000029086802,"about_ca_topic_score_gemma":0.000024750034,"teacher_disagreement_score":0.299592,"about_ca_system_score_codex":0.000016945916,"about_ca_system_score_gemma":0.0000091628945,"threshold_uncertainty_score":0.36677414},"labels":[],"label_agreement":null},{"id":"W2032646947","doi":"10.1090/s0002-9939-2010-10679-2","title":"Irreducible weight modules over Witt algebras","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Irreducibility; Witt algebra; Mathematics; Witt vector; Algebra over a field; Class (philosophy); Pure mathematics; Lie algebra; Algebra representation; Cellular algebra; Computer science; Artificial intelligence","score_opus":0.012828206286154218,"score_gpt":0.2686408116735545,"score_spread":0.2558126053874003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032646947","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99252313,0.000010693236,0.00019917403,0.00074086006,0.00027365453,0.00031085013,0.0000037231314,0.000108888904,0.0058290455],"genre_scores_gemma":[0.9592449,0.000008216547,0.039784063,0.00022813398,0.00027698386,0.000033366647,2.2569714e-7,0.00005323192,0.0003708974],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981231,0.0000073060683,0.00047053085,0.0003475301,0.00064288836,0.0004086105],"domain_scores_gemma":[0.9983894,0.00027438512,0.00062428287,0.0003755131,0.00019961178,0.00013675974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039606847,0.00028185686,0.0005936333,0.000021798389,0.00018919537,0.00006308589,0.00087469845,0.000111633024,0.0002234176],"category_scores_gemma":[0.00058618013,0.00017603698,0.000567728,0.0004631758,0.0009117151,0.00015446972,0.00037061836,0.0005347898,0.000008996223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012645962,0.00015064886,0.0009092607,0.0001854874,0.00010224326,5.5167227e-8,0.0009383521,1.3792248e-7,0.017107435,0.9715226,0.008730317,0.00034080693],"study_design_scores_gemma":[0.00024788137,0.00004591035,0.0015625319,0.00005053619,0.000095448384,0.000010762768,0.00049156556,0.0004626277,0.014273206,0.9821971,0.0003375114,0.00022492361],"about_ca_topic_score_codex":0.000016691816,"about_ca_topic_score_gemma":5.4997577e-7,"teacher_disagreement_score":0.03958489,"about_ca_system_score_codex":0.000034012217,"about_ca_system_score_gemma":0.000034742134,"threshold_uncertainty_score":0.71785796},"labels":[],"label_agreement":null},{"id":"W2033205677","doi":"10.1142/s0129167x14500487","title":"The extreme points of SU(2)-irreducibly covariant channels","year":2014,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Covariant transformation; Mathematics; Channel (broadcasting); Class (philosophy); Representation (politics); Pure mathematics; Matrix (chemical analysis); Dual (grammatical number); Quantum; Combinatorics; Algebra over a field; Mathematical physics; Physics; Quantum mechanics; Computer science; Artificial intelligence","score_opus":0.049350951540129584,"score_gpt":0.3051980389073125,"score_spread":0.2558470873671829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033205677","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86971956,0.00023098396,0.112008475,0.003924331,0.010459557,0.0002498382,0.000008563671,0.00002751639,0.0033711842],"genre_scores_gemma":[0.98390794,0.000043505137,0.014966657,0.000059297436,0.00078880053,0.000002031486,4.8440313e-7,0.000024023679,0.00020727364],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99768573,0.00007650867,0.0010038693,0.000095552874,0.0009786352,0.00015972512],"domain_scores_gemma":[0.996029,0.0013826705,0.0012844307,0.00030987043,0.0009229343,0.00007107213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015497563,0.00014475321,0.00034426714,0.00010843527,0.00006445606,0.00009771193,0.0009851966,0.0000701061,0.000067346475],"category_scores_gemma":[0.0023278142,0.00008950921,0.00022909552,0.000078912904,0.00009034606,0.000118072305,0.00010920293,0.00019477717,0.000005569407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003933064,0.00016080994,0.000027157808,0.000031503907,0.00026684417,0.0000059410695,0.0009516095,0.000039359737,0.00027003483,0.99461854,0.0016525947,0.0019362569],"study_design_scores_gemma":[0.00065790967,0.00010728239,0.000029150777,0.00018425906,0.000050882576,0.00020125721,0.00034742113,0.0015368132,0.0019698727,0.99238145,0.0024425776,0.000091131325],"about_ca_topic_score_codex":0.0000037512943,"about_ca_topic_score_gemma":0.000001226363,"teacher_disagreement_score":0.11418837,"about_ca_system_score_codex":0.000051565406,"about_ca_system_score_gemma":0.000074627605,"threshold_uncertainty_score":0.36500797},"labels":[],"label_agreement":null},{"id":"W2033469786","doi":"10.2298/pim1308169b","title":"Fixed points and D-branes","year":2013,"lang":"en","type":"article","venue":"Publications de l Institut Mathematique","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"MacEwan University","funders":"","keywords":"Integer (computer science); Pure mathematics; Mathematics; Affine transformation; Fixed point; Ring (chemistry); Conformal map; Conformal field theory; Matrix (chemical analysis); Field (mathematics); Brane cosmology; Structure constants; Component (thermodynamics); Brane; Mathematical physics; Physics; Mathematical analysis; Computer science; Quantum mechanics","score_opus":0.03323262215511937,"score_gpt":0.2879066886855819,"score_spread":0.25467406653046254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033469786","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9269533,0.00008612398,0.025604786,0.0092698205,0.00016396955,0.0010137,0.000005088634,0.00044945345,0.036453765],"genre_scores_gemma":[0.9502367,0.000024380184,0.047216546,0.00037809834,0.00009081449,0.00061729853,0.0000058644023,0.000026901234,0.0014033938],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990467,0.00004278016,0.0002946865,0.00022254775,0.00014629168,0.0002470088],"domain_scores_gemma":[0.9988667,0.0002207519,0.00012054095,0.00047116363,0.00017416662,0.00014671069],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021608737,0.00015828507,0.00020197814,0.0001178826,0.00017750317,0.00021664653,0.00026386423,0.0001285933,0.00061480555],"category_scores_gemma":[0.0008546356,0.00013517683,0.00004989389,0.00021223167,0.00009485438,0.0005023605,0.00009118471,0.0001505591,0.00008041385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[8.0503014e-7,0.00005305268,0.00025669346,0.00006722015,0.000019569436,2.2813144e-7,0.0006891112,4.346254e-7,0.00013435668,0.99344826,0.0047945855,0.0005356606],"study_design_scores_gemma":[0.00020473226,0.000010065947,0.0013392987,0.000024688032,0.000015086052,0.000049440183,0.000100990655,0.000504849,0.0003977514,0.99318033,0.004017979,0.00015480176],"about_ca_topic_score_codex":0.000054767093,"about_ca_topic_score_gemma":0.000012024297,"teacher_disagreement_score":0.03505037,"about_ca_system_score_codex":0.00004597119,"about_ca_system_score_gemma":0.00008505567,"threshold_uncertainty_score":0.67316896},"labels":[],"label_agreement":null},{"id":"W2034065526","doi":"10.48550/arxiv.0905.1374","title":"Row Convex Tableaux and Bott-Samelson Varieties","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Champlain Regional College; St. Lawrence College","funders":"","keywords":"Monomial; Regular polygon; Section (typography); Polynomial; Type (biology); Mathematics; Pure mathematics; Variety (cybernetics); Combinatorics; Computer science; Mathematical analysis; Geometry; Biology; Statistics","score_opus":0.09807745911003322,"score_gpt":0.20552585591042022,"score_spread":0.107448396800387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034065526","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95710975,0.0003762677,0.033103988,0.00012911658,0.0011621149,0.0004907946,0.000017985105,0.00028319468,0.0073268074],"genre_scores_gemma":[0.9959309,0.0003771429,0.0006513512,0.00010299284,0.00018707516,8.3172205e-7,0.000010141579,0.000037420134,0.002702118],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983936,0.000104087725,0.0002290889,0.00079343456,0.00011651,0.0003632765],"domain_scores_gemma":[0.99847203,0.00018638055,0.00027103612,0.0007653919,0.00013210476,0.00017304541],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017726423,0.00042137288,0.00060233794,0.00012790532,0.0001740614,0.00010588957,0.000511817,0.0005654941,0.00012441304],"category_scores_gemma":[0.00008766446,0.00045586357,0.00017555965,0.00017213415,0.00016085611,0.00013448473,0.0007156792,0.0006971062,0.000010542422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059422207,0.00004759386,0.00036724357,0.00015639492,0.00011416334,0.00007178696,0.00024808064,0.0013029919,0.0000051905495,0.99650276,0.00089214626,0.00023222814],"study_design_scores_gemma":[0.0005804426,0.00007114582,0.0002434469,0.00008458727,0.00023442421,0.0000055685173,0.00017952638,0.0058605447,0.00005836965,0.9913814,0.0008184443,0.00048208385],"about_ca_topic_score_codex":0.00014383935,"about_ca_topic_score_gemma":0.000017900915,"teacher_disagreement_score":0.038821198,"about_ca_system_score_codex":0.00012797877,"about_ca_system_score_gemma":0.0001336791,"threshold_uncertainty_score":0.9997893},"labels":[],"label_agreement":null},{"id":"W2034092861","doi":"10.1016/j.jalgebra.2006.07.021","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi mathvariant=\"italic\">BC</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:math>-graded Lie algebras arising from fermionic representations","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Torus; Geometry","score_opus":0.021836809241470533,"score_gpt":0.26033189515669064,"score_spread":0.23849508591522012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034092861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97767043,0.0008014846,0.0012617181,0.0008223949,0.0029933145,0.00006612374,0.000055466564,0.00014626014,0.016182786],"genre_scores_gemma":[0.99110234,0.00027586584,0.004507067,0.0006326098,0.0027454547,0.00009376643,0.00013771887,0.00034151445,0.00016365133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9939525,0.00025969726,0.0019331998,0.00082698074,0.0018759605,0.0011516402],"domain_scores_gemma":[0.9942698,0.0012657258,0.0022836786,0.0014143245,0.00022245196,0.000544022],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010415324,0.00060090574,0.00048813177,0.00036277395,0.0010198249,0.0009816841,0.0012735066,0.0010609869,0.008220505],"category_scores_gemma":[0.0010007758,0.0008323028,0.0013110746,0.0006400399,0.000413677,0.0011663026,0.0006443682,0.001321659,0.0004355161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004049071,0.00028486474,0.000036769557,0.00019185364,0.00095147913,0.00075216073,0.0011776632,0.0005798507,0.0017348393,0.9538366,0.03962156,0.00042743003],"study_design_scores_gemma":[0.0040550344,0.0011407366,0.000620058,0.0011684301,0.0020001954,0.0022921427,0.0018056204,0.024014903,0.274553,0.6855975,0.0012311748,0.0015212393],"about_ca_topic_score_codex":0.0012122396,"about_ca_topic_score_gemma":0.00028473124,"teacher_disagreement_score":0.27281818,"about_ca_system_score_codex":0.000045515342,"about_ca_system_score_gemma":0.0008721276,"threshold_uncertainty_score":0.9994128},"labels":[],"label_agreement":null},{"id":"W2034324417","doi":"10.4171/jncg/139","title":"Tate-Hochschild homology and cohomology of Frobenius algebras","year":2013,"lang":"en","type":"preprint","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Hochschild homology; Mathematics; Frobenius algebra; Cohomology; Noetherian; Homology (biology); Pure mathematics; Relative homology; Cellular homology; Injective function; Singular homology; Mayer–Vietoris sequence; Algebra over a field; Equivariant cohomology; Algebra representation; Chemistry; De Rham cohomology","score_opus":0.032283887306679124,"score_gpt":0.3180717372429271,"score_spread":0.28578784993624795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034324417","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9879904,0.0035231153,0.0047007054,0.0003449646,0.0022397062,0.00033376855,0.000037713726,0.000016237831,0.00081338815],"genre_scores_gemma":[0.98156893,0.0003943652,0.017297933,0.00010571894,0.00048137864,0.000009951796,0.0000069069342,0.00006260523,0.00007223524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996575,0.0005616294,0.0016495489,0.00032380034,0.00051643484,0.00037359865],"domain_scores_gemma":[0.99263096,0.0020896744,0.0035461665,0.000556701,0.0009665232,0.00020999345],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00094336335,0.0004958977,0.0020384032,0.00076534855,0.00008603826,0.000047324676,0.00085307145,0.0007486058,0.00033291784],"category_scores_gemma":[0.00107512,0.00040110273,0.00043818256,0.00025481873,0.0005289763,0.00014109886,0.0011777839,0.0021788722,0.000004420516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001048906,0.0012741253,0.009910459,0.0025334263,0.007498395,0.00050880585,0.011702505,0.00061515905,0.0004946268,0.937456,0.014099666,0.012857932],"study_design_scores_gemma":[0.0014906377,0.0007521833,0.0037189613,0.0003174113,0.0003863159,0.0004973712,0.00055968866,0.00005675947,0.00072337996,0.9910376,0.0001222746,0.00033742026],"about_ca_topic_score_codex":0.00009853629,"about_ca_topic_score_gemma":0.0000051598918,"teacher_disagreement_score":0.053581603,"about_ca_system_score_codex":0.00012190754,"about_ca_system_score_gemma":0.00031217624,"threshold_uncertainty_score":0.9998441},"labels":[],"label_agreement":null},{"id":"W2034484526","doi":"10.1016/j.jpaa.2005.06.010","title":"The cohomology structure of string algebras","year":2005,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Cohomology; String (physics); Pure mathematics; Cohomology ring; Lie algebra; Algebra over a field; Quadratic equation; Ring (chemistry); Equivariant cohomology; Geometry; Mathematical physics","score_opus":0.013083218028457608,"score_gpt":0.25613315075786264,"score_spread":0.24304993272940503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034484526","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99721193,0.00087711395,0.00045396402,0.0006120913,0.0003158373,0.000114098446,0.0000025602537,0.000008448093,0.00040398006],"genre_scores_gemma":[0.9973663,0.00011258196,0.00166894,0.00010770647,0.0006906866,9.085196e-7,3.3436558e-7,0.000017663644,0.00003483981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873686,0.000034021486,0.0005996264,0.00011132093,0.00030576086,0.00021243181],"domain_scores_gemma":[0.99856716,0.0004013101,0.0006302902,0.00016950487,0.00014315976,0.000088561384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025535814,0.00015991165,0.0003934804,0.000059734284,0.00014438231,0.000037496586,0.0003029369,0.00013696337,0.000050257517],"category_scores_gemma":[0.00010136465,0.00009492375,0.000104047605,0.00010401935,0.00011808405,0.000075628865,0.000073570096,0.00036105255,6.1966324e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007344204,0.000020862271,0.000119138735,0.000024251676,0.000115765004,0.000002068533,0.0003870893,0.000009428882,0.0029629637,0.9885901,0.0010873758,0.006607515],"study_design_scores_gemma":[0.00073756767,0.000092540766,0.0003368138,0.000019676492,0.00008339946,0.00012158517,0.00034871759,0.000005697375,0.016176485,0.9807637,0.0012108603,0.0001029954],"about_ca_topic_score_codex":0.0000010554679,"about_ca_topic_score_gemma":0.000008053677,"teacher_disagreement_score":0.013213522,"about_ca_system_score_codex":0.0000213831,"about_ca_system_score_gemma":0.00005767775,"threshold_uncertainty_score":0.38708782},"labels":[],"label_agreement":null},{"id":"W2034638495","doi":"10.4153/cmb-2003-031-2","title":"Localization of the Hasse-Schmidt Algebra","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Office of Naval Research; Jyväskylän Yliopisto","keywords":"Mathematics; Monomial; Conjecture; Cohomology; Algebra over a field; Monomial ideal; Pure mathematics; Mathematical analysis; Polynomial ring","score_opus":0.01935625920306831,"score_gpt":0.2366820366591688,"score_spread":0.2173257774561005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034638495","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56450075,0.00038681345,0.061397925,0.009733463,0.0021904649,0.0026985728,0.000034831322,0.00021777724,0.35883942],"genre_scores_gemma":[0.99611795,0.0000014460261,0.0014819292,0.0004769682,0.000041765707,0.000017218043,8.8664757e-7,0.000032834734,0.0018289727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986892,0.000118108874,0.00038876777,0.00018215165,0.00028841596,0.00033339902],"domain_scores_gemma":[0.9987293,0.00026019698,0.0001224545,0.0005332917,0.00009600356,0.00025875657],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00030399763,0.00016420207,0.00027073358,0.000056150944,0.00015287618,0.000028810324,0.00031321248,0.00014574066,0.011476091],"category_scores_gemma":[0.0018089428,0.0001145139,0.0001334904,0.00021818896,0.00013142536,0.000017591887,0.000027165182,0.00015575658,0.00040396088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000014045736,0.000021687682,0.00006401724,0.00007278717,0.000016269134,0.0000016498532,0.0001487596,0.000008554803,0.0000071625727,0.98777014,0.011829375,0.00005818543],"study_design_scores_gemma":[0.00020096636,0.000014487494,0.000017735047,0.00006556421,0.000032136762,0.000010864694,0.00008659839,0.00010435322,0.0009770115,0.9530466,0.04531158,0.00013205603],"about_ca_topic_score_codex":0.00021186995,"about_ca_topic_score_gemma":0.00021956614,"teacher_disagreement_score":0.43161726,"about_ca_system_score_codex":0.000096360236,"about_ca_system_score_gemma":0.00024333033,"threshold_uncertainty_score":0.98942757},"labels":[],"label_agreement":null},{"id":"W2034715297","doi":"10.1016/j.jalgebra.2014.02.016","title":"Covering theory for linear categories with application to derived categories","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bounded function; Zero (linguistics); Pure mathematics; Discrete mathematics; Galois theory; Morphism; Algebra over a field; Mathematical analysis; Linguistics","score_opus":0.013214631893449381,"score_gpt":0.26918644154260507,"score_spread":0.25597180964915567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034715297","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48785466,0.00003215363,0.5112618,0.00025819015,0.00026142492,0.00018970732,9.69126e-7,0.00001693519,0.00012411404],"genre_scores_gemma":[0.97906935,0.0000039514525,0.019948352,0.0001616065,0.00068614323,0.000020979705,0.000001063993,0.000033558164,0.00007499239],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904364,0.0000417724,0.00036265326,0.00012225924,0.00024589745,0.00018374818],"domain_scores_gemma":[0.99851364,0.0004512039,0.00036404247,0.00021006404,0.00034971972,0.00011132453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048810075,0.00014703549,0.00032159715,0.000074258765,0.000111730355,0.000045622797,0.00023288165,0.00006686037,0.000011139137],"category_scores_gemma":[0.00037108528,0.00010194102,0.00008964163,0.0001111551,0.00004049631,0.00014822862,0.000032431155,0.00012757396,0.0000024272445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004053687,0.000026303498,0.00007849949,0.00005827591,0.00008150928,8.8317506e-7,0.0010726367,0.00018866309,0.0012327357,0.99449515,0.00026887882,0.0020910832],"study_design_scores_gemma":[0.0007017038,0.00054489565,0.00015112471,0.000030686453,0.000083285384,0.000035109948,0.0003210544,0.00014912318,0.012323382,0.9828665,0.0026479387,0.0001451724],"about_ca_topic_score_codex":0.0000047547232,"about_ca_topic_score_gemma":0.000005977288,"teacher_disagreement_score":0.4913135,"about_ca_system_score_codex":0.000043953274,"about_ca_system_score_gemma":0.000073327275,"threshold_uncertainty_score":0.41570342},"labels":[],"label_agreement":null},{"id":"W2034717883","doi":"10.1016/j.jalgebra.2006.10.046","title":"Involutions on graded matrix algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Algebraically closed field; Abelian group; Pure mathematics; Matrix (chemical analysis); Order (exchange); Algebra over a field; Field (mathematics); Group (periodic table)","score_opus":0.03603835245247148,"score_gpt":0.33698977944770064,"score_spread":0.30095142699522914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034717883","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99109924,0.0002467427,0.0044937385,0.00047152702,0.0019041498,0.000117246134,0.0000011825183,0.0000381732,0.0016280132],"genre_scores_gemma":[0.99480563,0.000020931493,0.003569539,0.00022640925,0.0010425206,8.179759e-7,4.881045e-7,0.000033004082,0.00030067677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998038,0.000052694457,0.00079740264,0.00013541679,0.0006323051,0.0003441846],"domain_scores_gemma":[0.9981474,0.00052151683,0.00059634226,0.0002867536,0.00022682539,0.0002211608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008759879,0.00018971818,0.00038044236,0.00027628132,0.00013009625,0.000040818857,0.0002948464,0.00015316116,0.00016299404],"category_scores_gemma":[0.00047716318,0.00015025148,0.00029676885,0.00028591134,0.00007938381,0.0001675957,0.000045109937,0.00048488975,0.000024651288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011933178,0.00013683498,0.00017319055,0.000015499016,0.00009474678,0.000076446246,0.00028741243,0.0000063745456,0.00037078824,0.9915591,0.006670888,0.0004894196],"study_design_scores_gemma":[0.0009257741,0.00039235043,0.001510094,0.00006581584,0.00007293603,0.00024911016,0.00018532177,0.000006044467,0.0029411728,0.99208254,0.0014035073,0.00016536233],"about_ca_topic_score_codex":0.000003891182,"about_ca_topic_score_gemma":0.000003876948,"teacher_disagreement_score":0.0052673807,"about_ca_system_score_codex":0.00013367731,"about_ca_system_score_gemma":0.00009829809,"threshold_uncertainty_score":0.61270773},"labels":[],"label_agreement":null},{"id":"W2035543001","doi":"10.1063/1.3533393","title":"Unitary irreducible representations of \\documentclass[12pt]{minimal}$\\mathrm{SL(2,\\mathbb {C})}$ SL (2,C) in discrete and continuous \\documentclass[12pt]{minimal}$\\mathrm{SU(1,1)}$ SU (1,1) bases","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Perimeter Institute","funders":"","keywords":"Unitary state; Irreducible representation; Basis (linear algebra); Matrix (chemical analysis); Unitary matrix; Unitary representation; Algebra over a field; Representation theory of SU; Decomposition","score_opus":0.0523805158338714,"score_gpt":0.3163664603919065,"score_spread":0.26398594455803515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035543001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98242617,0.0004752168,0.0066628996,0.00040447383,0.0006571926,0.0008508523,0.000045524677,0.0000726489,0.008405049],"genre_scores_gemma":[0.9748285,0.00015879133,0.023925526,0.000093409006,0.00039364336,0.000037363425,0.000007256389,0.00013343635,0.00042210874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99402124,0.00034910248,0.0028594197,0.00060001743,0.0013432155,0.0008270305],"domain_scores_gemma":[0.9940634,0.0018842125,0.002004351,0.0010119041,0.00057615235,0.0004600127],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013380615,0.0007320797,0.002048615,0.00036082527,0.00017571743,0.000168906,0.00085630413,0.0003108189,0.0003873958],"category_scores_gemma":[0.0012728684,0.00060612155,0.0006037345,0.0006444355,0.0005362548,0.001075678,0.00042147463,0.0009145148,0.000015165552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041897205,0.0017840072,0.000980962,0.00095753866,0.0005366442,0.00014083312,0.007022742,0.00002288308,0.001201644,0.98365253,0.0022180937,0.0010631593],"study_design_scores_gemma":[0.0026438036,0.0008445367,0.0007293519,0.0009481291,0.00054970896,0.0002446591,0.003901882,0.00063352025,0.004161753,0.9845737,0.00016179694,0.00060716],"about_ca_topic_score_codex":0.000067244706,"about_ca_topic_score_gemma":0.0000064246797,"teacher_disagreement_score":0.017262626,"about_ca_system_score_codex":0.00016663942,"about_ca_system_score_gemma":0.0002497895,"threshold_uncertainty_score":0.99963903},"labels":[],"label_agreement":null},{"id":"W2035707791","doi":"10.1007/s10468-014-9478-7","title":"Quantum Lines for Dual Quasi-Bialgebras","year":2014,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Dual (grammatical number); Mathematics; Construct (python library); Quantum; Pure mathematics; Algebra over a field; Computer science; Quantum mechanics; Physics","score_opus":0.03240783730073164,"score_gpt":0.31798206376819704,"score_spread":0.2855742264674654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035707791","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89889836,0.00020285339,0.09757209,0.000505604,0.001181334,0.0005286104,0.0000058929113,0.0001458811,0.0009593727],"genre_scores_gemma":[0.9959206,0.00002852535,0.0020622418,0.00025546385,0.0008114993,0.00007485174,0.000015442296,0.000042022428,0.00078933063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861693,0.00020025928,0.00035648156,0.0003722689,0.00020394582,0.000250123],"domain_scores_gemma":[0.99741316,0.0018536155,0.0001721542,0.00034199617,0.00011528513,0.000103773906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066001294,0.00019459355,0.00030193062,0.000074744006,0.00024659222,0.00007804932,0.0001233768,0.00013193133,0.000083670864],"category_scores_gemma":[0.0010751438,0.0001560763,0.00012285804,0.00010694096,0.00012374592,0.00014556615,0.000066337416,0.000097797005,0.0000066800644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011149234,0.000049366052,0.00023186798,0.000051984694,0.000054761287,5.298444e-7,0.0005628644,0.0000021110984,0.00030646176,0.9912568,0.0011323333,0.006239432],"study_design_scores_gemma":[0.0009816356,0.00016806417,0.00043172936,0.000018132847,0.000073349984,0.000010675696,0.00045277626,0.0006999447,0.002303296,0.9937323,0.0009146473,0.00021347502],"about_ca_topic_score_codex":0.00001637418,"about_ca_topic_score_gemma":0.000004282978,"teacher_disagreement_score":0.097022265,"about_ca_system_score_codex":0.000010632028,"about_ca_system_score_gemma":0.000021689797,"threshold_uncertainty_score":0.63646066},"labels":[],"label_agreement":null},{"id":"W2036103393","doi":"10.1063/1.4754703","title":"On left Hopf algebras within the framework of inhomogeneous quantum groups for particle algebras","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Noncommutative geometry; Hopf algebra; Quantum group; Mathematics; Commutative property; Construct (python library); Pure mathematics; Quantum; Creation and annihilation operators; Homogeneous space; Annihilation; Algebra over a field; Group (periodic table); Theoretical physics; Physics; Quantum mechanics; Computer science; Geometry","score_opus":0.03842127871919078,"score_gpt":0.30665337488903394,"score_spread":0.26823209616984317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036103393","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8857366,0.00013785122,0.11255237,0.00030624814,0.0007921941,0.00032753428,0.000004604771,0.000017300728,0.00012530622],"genre_scores_gemma":[0.9867777,0.0000048663956,0.011856822,0.00019882998,0.0010727242,0.000008569809,3.8565688e-7,0.000056176395,0.000023923803],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975546,0.00012230827,0.0010460012,0.0001261101,0.0007465927,0.0004043842],"domain_scores_gemma":[0.99415576,0.0038597886,0.0010509256,0.00048476618,0.00025338645,0.00019536709],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011594428,0.00026191442,0.0006967982,0.00003018512,0.000147102,0.00003939815,0.00048314527,0.00016017954,0.0000697765],"category_scores_gemma":[0.0022492574,0.00015402294,0.0004503665,0.00014698427,0.00015896237,0.00019383458,0.00007779458,0.00047012419,0.000012808349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014470491,0.0006701905,0.000057307654,0.00019041277,0.0001862513,0.0000015202571,0.003166381,0.00006553537,0.0002782934,0.9943043,0.00068990135,0.000245229],"study_design_scores_gemma":[0.0005460908,0.00046406477,0.00004423912,0.00023922879,0.0002391488,0.000058254573,0.00041673248,0.0010637252,0.010184818,0.9865488,0.00001986941,0.00017503068],"about_ca_topic_score_codex":5.7524716e-7,"about_ca_topic_score_gemma":1.7438684e-7,"teacher_disagreement_score":0.10104111,"about_ca_system_score_codex":0.000049785085,"about_ca_system_score_gemma":0.0000643044,"threshold_uncertainty_score":0.62808734},"labels":[],"label_agreement":null},{"id":"W2036106278","doi":"10.1016/s0550-3213(03)00175-5","title":"Fermionic characters for graded parafermions","year":2003,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Université de Moncton","funders":"","keywords":"Coset; Character (mathematics); Conformal map; Field (mathematics); Subject (documents); Conformal field theory","score_opus":0.07762329836032507,"score_gpt":0.3140724030227969,"score_spread":0.23644910466247182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036106278","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9979752,0.000009947766,0.000086593,0.00011504608,0.0006338551,0.00030823602,9.369834e-7,0.00011080254,0.00075938256],"genre_scores_gemma":[0.9989799,0.000003844778,0.00028321706,0.00018336174,0.00021927754,0.000022835655,0.000002627562,0.0000567137,0.0002481745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992385,0.0000320119,0.00015629052,0.00019336864,0.0001340681,0.0002457894],"domain_scores_gemma":[0.99939674,0.00012889934,0.000080849844,0.00027733695,0.000047955105,0.00006824099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007752625,0.000139303,0.00019928427,0.000015289617,0.0001709314,0.000034539724,0.00013820939,0.00007145795,0.000052891006],"category_scores_gemma":[0.00008834,0.00012945988,0.00015816803,0.00008928983,0.000032035812,0.00008302251,0.000018221443,0.000111338435,0.000036064066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009524085,0.000057676276,0.000005214295,0.000018664547,0.000027524171,3.8642995e-7,0.00021304187,0.0000021488954,0.00008323582,0.9992193,0.00025183833,0.00011146315],"study_design_scores_gemma":[0.00050862174,0.00004356056,0.000048266967,0.00000943732,0.00003382567,0.0000027469994,0.00005090234,0.000015101186,0.0007348927,0.9973143,0.0010778423,0.0001605056],"about_ca_topic_score_codex":0.0000017379443,"about_ca_topic_score_gemma":2.7022259e-7,"teacher_disagreement_score":0.0019049856,"about_ca_system_score_codex":0.000034628174,"about_ca_system_score_gemma":0.000027362095,"threshold_uncertainty_score":0.5279221},"labels":[],"label_agreement":null},{"id":"W2036700299","doi":"10.1007/s00233-015-9711-7","title":"Permutation of elements in double semigroups","year":2015,"lang":"en","type":"preprint","venue":"Semigroup Forum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Commutative property; Associative property; Permutation (music); Mathematical proof; Mathematics; Degree (music); Property (philosophy); Relation (database); Discrete mathematics; Semigroup; Combinatorics; Pure mathematics; Computer science; Physics","score_opus":0.05772107058903316,"score_gpt":0.34017053988281276,"score_spread":0.2824494692937796,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036700299","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9916263,0.00040466228,0.00047850574,0.00015446337,0.0016837289,0.00087207835,0.000038438415,0.00007662586,0.004665162],"genre_scores_gemma":[0.9974371,0.000027376545,0.001516011,0.000038080547,0.00016007593,0.00009926033,0.000113839465,0.00006169486,0.0005465201],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975329,0.00006457945,0.0009105733,0.0004684859,0.000589389,0.00043405406],"domain_scores_gemma":[0.99830157,0.00009094098,0.0006175306,0.0007000243,0.00019129978,0.00009862051],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005716761,0.00036054614,0.0006999542,0.00020155993,0.00003228614,0.000033443088,0.00050145946,0.0005127938,0.000072267576],"category_scores_gemma":[0.00011400778,0.00034920173,0.00018834611,0.0001765488,0.000046507575,0.00009636799,0.00075998786,0.00059059996,0.000006667398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002769421,0.00028232016,0.009253048,0.0009378125,0.00016719404,0.000011472349,0.003607732,0.00047918904,0.00018764244,0.9726388,0.011091856,0.0010660192],"study_design_scores_gemma":[0.0016486478,0.00006954949,0.00017883834,0.00031186832,0.000054419652,0.0000027860494,0.0006327557,0.0008262079,0.00089138554,0.9946198,0.00043588804,0.00032789505],"about_ca_topic_score_codex":0.00043557637,"about_ca_topic_score_gemma":0.00028482417,"teacher_disagreement_score":0.021980986,"about_ca_system_score_codex":0.00027742234,"about_ca_system_score_gemma":0.00019664138,"threshold_uncertainty_score":0.999896},"labels":[],"label_agreement":null},{"id":"W2036771183","doi":"10.1081/agb-120024866","title":"Preprojective Modules and Auslander-Reiten Components","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Mathematics; Quotient; Pure mathematics; Component (thermodynamics); Algebra over a field; Physics","score_opus":0.1003773698219069,"score_gpt":0.347407169812208,"score_spread":0.24702979999030109,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036771183","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9781701,0.00097602943,0.00083878916,0.00035893236,0.00014415129,0.0004322785,0.0000033721385,0.00007821482,0.018998144],"genre_scores_gemma":[0.9868366,0.00016458279,0.012709963,0.000048622212,0.000010630429,0.00007186049,0.000006811577,0.00001851628,0.00013239704],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990043,0.0002455524,0.00025879318,0.0002060593,0.00011709744,0.00016817123],"domain_scores_gemma":[0.9979426,0.00046765644,0.0000846563,0.0014066257,0.000051295636,0.000047148493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027950446,0.00012906628,0.00019823459,0.00009510063,0.00017402547,0.000036568857,0.0004781877,0.00008577746,0.00002684872],"category_scores_gemma":[0.0003734348,0.00012200557,0.000034365043,0.00019258534,0.00014829209,0.00009978108,0.0002718504,0.00022894483,0.000005735727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004808387,0.00009589601,0.004324501,0.000010557314,0.000020394993,4.1704064e-7,0.0008512913,0.0000015524938,0.000031985852,0.9938907,0.00013221028,0.0006357006],"study_design_scores_gemma":[0.0005286439,0.000017156013,0.007444273,0.00003280802,0.000013699148,0.000009303169,0.00024630764,0.00037139974,0.00010026952,0.98946464,0.0016317503,0.00013973398],"about_ca_topic_score_codex":0.000049538543,"about_ca_topic_score_gemma":0.00007390474,"teacher_disagreement_score":0.018865747,"about_ca_system_score_codex":0.000049417242,"about_ca_system_score_gemma":0.000024368492,"threshold_uncertainty_score":0.4975243},"labels":[],"label_agreement":null},{"id":"W2036792828","doi":"10.1007/s11232-006-0148-8","title":"Enumeration of quarter-turn-symmetric alternating-sign matrices of odd order","year":2006,"lang":"en","type":"article","venue":"Theoretical and Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Sign (mathematics); Mathematics; Quarter (Canadian coin); Bijection; Combinatorics; Partition (number theory); Enumeration; Order (exchange); Turn (biochemistry); Partition function (quantum field theory); Square (algebra); Symmetric function; Geometry; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.009659952542953749,"score_gpt":0.2544271848128001,"score_spread":0.24476723226984634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036792828","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83231586,0.000095912226,0.15516172,0.00009070034,0.000093498755,0.0002685338,0.000009825275,0.000043304964,0.011920651],"genre_scores_gemma":[0.9896781,0.000008756488,0.010052923,0.000013907503,0.0001829666,0.000008131074,0.0000029222715,0.000021838801,0.000030442798],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855685,0.000067682595,0.0005824725,0.00018981191,0.0003967726,0.00020640242],"domain_scores_gemma":[0.9982733,0.0010013643,0.00025381532,0.0002500386,0.00016036542,0.000061083396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024935542,0.00018913817,0.0005020199,0.000051224528,0.000045278026,0.000021725022,0.00015862718,0.000099529345,0.00013718517],"category_scores_gemma":[0.00025367504,0.00013754716,0.00010270373,0.00029909014,0.00038373598,0.000077488505,0.000070492926,0.00012475594,0.0000045659494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002727143,0.0002858386,0.00001582853,0.00040213205,0.000028917417,6.4948046e-7,0.00020846592,0.000006578095,0.0006231505,0.9970319,0.00007737398,0.0012918754],"study_design_scores_gemma":[0.00043679547,0.00015404036,0.000030423062,0.00007847429,0.00009924886,0.000003951695,0.00006448716,0.0034302361,0.009369965,0.98618346,0.0000035293394,0.00014539655],"about_ca_topic_score_codex":0.000008474135,"about_ca_topic_score_gemma":2.1939242e-7,"teacher_disagreement_score":0.15736227,"about_ca_system_score_codex":0.000009386435,"about_ca_system_score_gemma":0.000017325056,"threshold_uncertainty_score":0.56090105},"labels":[],"label_agreement":null},{"id":"W2036884052","doi":"10.1112/s0024610705006861","title":"CODETERMINANTS FOR THE SYMPLECTIC SCHUR ALGEBRA","year":2005,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Winnipeg; University of Alberta","funders":"","keywords":"Symplectic geometry; Schur's theorem; Mathematics; Schur algebra; Algebra over a field; Pure mathematics; Basis (linear algebra); Symplectic representation; Symplectic manifold; Geometry; Orthogonal polynomials; Classical orthogonal polynomials","score_opus":0.03501989344120281,"score_gpt":0.3119591711876922,"score_spread":0.27693927774648935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036884052","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8542225,0.001072316,0.12311796,0.017324058,0.0021417534,0.0014997183,0.00000914338,0.000056950223,0.00055560493],"genre_scores_gemma":[0.9725298,0.000053454747,0.024504589,0.0008331607,0.0012205066,0.000020664813,8.845504e-8,0.00004495215,0.00079276355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998136,0.00007088644,0.0007376146,0.00012319883,0.0006022297,0.00033009995],"domain_scores_gemma":[0.99616593,0.0024158922,0.0006452615,0.0004601502,0.00021965243,0.000093089744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011365777,0.00020122364,0.00043755397,0.000014186131,0.00040452214,0.000091826485,0.0009153523,0.00013884866,0.00012291476],"category_scores_gemma":[0.0011384189,0.00008968353,0.001163781,0.00014954548,0.0001476615,0.00013869048,0.00014293897,0.0004309089,0.000007421419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008630351,0.00026132606,0.000035619032,0.000263692,0.0005222381,0.0000010190727,0.002537773,0.00009025885,0.00032421405,0.9528437,0.037733346,0.0053004655],"study_design_scores_gemma":[0.0009313801,0.00009940106,0.0000645564,0.00011138821,0.00032300464,0.00015058562,0.00026353437,0.004214431,0.001140087,0.9903404,0.0022369593,0.00012426217],"about_ca_topic_score_codex":5.563556e-7,"about_ca_topic_score_gemma":9.0949453e-7,"teacher_disagreement_score":0.11830732,"about_ca_system_score_codex":0.000121423196,"about_ca_system_score_gemma":0.000089856316,"threshold_uncertainty_score":0.36571884},"labels":[],"label_agreement":null},{"id":"W2037012653","doi":"10.1088/1751-8113/46/28/285207","title":"A homomorphism between link and XXZ modules over the periodic Temperley–Lieb algebra","year":2013,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Contractible space; Mathematics; Central charge; Homomorphism; Lattice (music); Pure mathematics; Bilinear form; Twist; Section (typography); Link (geometry); Isomorphism (crystallography); Conformal map; Combinatorics; Physics; Mathematical analysis; Geometry; Crystallography","score_opus":0.01424744263498016,"score_gpt":0.25053353168841863,"score_spread":0.23628608905343848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037012653","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9912467,0.00023473117,0.0056173974,0.0021835968,0.00009682839,0.0002453071,0.000003330158,0.00001565807,0.00035645138],"genre_scores_gemma":[0.9961827,0.000048716494,0.0026825513,0.00012911907,0.00089013623,0.00000989193,3.653361e-7,0.00003175512,0.00002475543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983067,0.00012017065,0.00061859604,0.00017588864,0.00048820942,0.0002904376],"domain_scores_gemma":[0.99758697,0.0014722331,0.00026428833,0.00026997656,0.0001517254,0.0002548374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004849885,0.0002561377,0.00063493283,0.000035546367,0.00018183782,0.00022722065,0.0002770795,0.0001399427,0.0003487308],"category_scores_gemma":[0.00032107095,0.0001341362,0.00018655788,0.000095573676,0.0010564233,0.00018475819,0.0001821155,0.0005141715,0.000011754009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001250028,0.00007071565,0.00010802446,0.00009027305,0.000113987284,0.000004798854,0.0008720342,1.5727619e-7,0.00007225932,0.9927857,0.00018853867,0.0056810305],"study_design_scores_gemma":[0.0005901724,0.00020217095,0.0007701174,0.00012606035,0.00020024613,0.00012259524,0.00019207908,0.00073882326,0.00017444792,0.99666023,0.000048631704,0.00017441287],"about_ca_topic_score_codex":0.0000016978481,"about_ca_topic_score_gemma":5.0495384e-8,"teacher_disagreement_score":0.005506618,"about_ca_system_score_codex":0.00001633961,"about_ca_system_score_gemma":0.000031413158,"threshold_uncertainty_score":0.54699147},"labels":[],"label_agreement":null},{"id":"W2037142942","doi":"10.1216/rmjm/1181070040","title":"Commutative Endomorphism Algebras of Torsion-Free, Rank-Two Kronecker Modules with Singular Height Functions","year":2002,"lang":"en","type":"article","venue":"Rocky Mountain Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Endomorphism; Kronecker delta; Torsion (gastropod); Pure mathematics; Commutative property; Rank (graph theory); Algebra over a field; Combinatorics","score_opus":0.026113500570871064,"score_gpt":0.2561646655334294,"score_spread":0.23005116496255837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037142942","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9018044,0.00087016134,0.09455279,0.00034291903,0.00044347902,0.00039329176,0.000022092268,0.000033378532,0.0015374704],"genre_scores_gemma":[0.9059429,0.00005373687,0.09324545,0.00003862175,0.00024730337,0.0000068448567,0.0000020177263,0.00007319118,0.0003898989],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996927,0.00016105431,0.001295198,0.00019035487,0.0010717539,0.00035460413],"domain_scores_gemma":[0.9957104,0.001008744,0.0016350747,0.00072928605,0.0007285322,0.0001880158],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006175199,0.0003875973,0.0010083165,0.00022951627,0.00022634727,0.000051756204,0.00067547074,0.0001399241,0.00063424924],"category_scores_gemma":[0.00070108456,0.00027301835,0.00029825143,0.00031340364,0.00018500227,0.00029086537,0.00013895058,0.00048707484,0.00001154502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025072732,0.002158636,0.00026504797,0.00058823224,0.0015490457,0.00014775172,0.014723231,0.0012873372,0.0010154034,0.96710235,0.00993025,0.0009820046],"study_design_scores_gemma":[0.004577755,0.0007853335,0.000026906875,0.0006382945,0.0005952115,0.00082819856,0.0036943946,0.0040696803,0.0034255194,0.98031706,0.0006503142,0.0003913554],"about_ca_topic_score_codex":0.000009843278,"about_ca_topic_score_gemma":0.000008050307,"teacher_disagreement_score":0.013214704,"about_ca_system_score_codex":0.00014382374,"about_ca_system_score_gemma":0.00006275607,"threshold_uncertainty_score":0.9999722},"labels":[],"label_agreement":null},{"id":"W2037617001","doi":"10.1088/1126-6708/2006/02/044","title":"<i>A</i>-Model correlators from the Coulomb branch","year":2006,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"High Energy Physics; Institut Périmètre de physique théorique","keywords":"Coulomb; Sigma; Sigma model; Vacuum state; Correlation function (quantum field theory); Spectrum (functional analysis)","score_opus":0.014885997608365717,"score_gpt":0.23405719857737223,"score_spread":0.2191712009690065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037617001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7776657,0.00039362314,0.2188193,0.00030599444,0.0018540148,0.00003742565,0.000011271198,0.000023323395,0.0008893758],"genre_scores_gemma":[0.9955758,0.00002875105,0.0013116469,0.00028432187,0.0025286651,0.0000014922807,0.0000036271595,0.000033376,0.00023233927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986771,0.00004965208,0.00047213037,0.000113589216,0.0005009208,0.00018664738],"domain_scores_gemma":[0.9984973,0.00040919636,0.0005611665,0.0002941364,0.00018478076,0.000053412492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011434213,0.00017818967,0.000345302,0.000016952892,0.00012157198,0.000048692185,0.00038993117,0.000095084404,0.000017564666],"category_scores_gemma":[0.000026969989,0.00010944799,0.00023134069,0.00012692617,0.000057523037,0.00015383158,0.000050910385,0.0002716371,0.0000016649809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030666284,0.00007629105,0.00009779092,0.0000022770237,0.000070030444,0.0000040976415,0.000076765,0.0052087503,0.00008542777,0.97531134,0.018444566,0.0005920171],"study_design_scores_gemma":[0.00065277185,0.000041292675,0.00020232263,0.000028608483,0.000110926325,0.000009501878,0.000014475155,0.0011245968,0.0014716296,0.9952154,0.0009963362,0.00013214351],"about_ca_topic_score_codex":0.0003246077,"about_ca_topic_score_gemma":0.000022691045,"teacher_disagreement_score":0.21791013,"about_ca_system_score_codex":0.00004913224,"about_ca_system_score_gemma":0.00009699428,"threshold_uncertainty_score":0.44631594},"labels":[],"label_agreement":null},{"id":"W2037809334","doi":"10.1016/j.jalgebra.2004.01.028","title":"Fock space representations and crystal bases for Cn(1)","year":2004,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Fock space; Mathematics; Affine transformation; Space (punctuation); Pure mathematics; Crystal (programming language); Algebra over a field; Lie algebra; Type (biology); Physics; Quantum mechanics; Computer science","score_opus":0.03205595021742238,"score_gpt":0.3170080416775731,"score_spread":0.28495209146015077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037809334","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97613305,0.0002689884,0.020193806,0.002276825,0.0005548849,0.00017585246,0.0000046864798,0.000013871716,0.00037800748],"genre_scores_gemma":[0.9763256,0.000029916175,0.022957418,0.000095826515,0.00043665437,0.0000035192138,4.799709e-7,0.000017614171,0.00013299735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921846,0.000017428027,0.0003285038,0.0000945431,0.00020378361,0.0001372568],"domain_scores_gemma":[0.999002,0.00030442778,0.00029134005,0.00013209408,0.00017214123,0.00009800676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016780937,0.00009747156,0.0002226209,0.00007155193,0.00009457706,0.000048450318,0.000112134214,0.000054684337,0.000029669938],"category_scores_gemma":[0.00048817325,0.00007717373,0.00012922539,0.00007127722,0.000037527203,0.00018178872,0.000031012438,0.000114141076,5.330734e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007541731,0.000058480684,0.00010201488,0.000037873717,0.00007821888,0.000009419521,0.0005518752,0.000050605115,0.0006476305,0.9948848,0.0032552548,0.00024839127],"study_design_scores_gemma":[0.0015540934,0.0002503783,0.00032072252,0.000050032555,0.000077884324,0.00016962222,0.00033502656,0.000012391843,0.0020209597,0.9941334,0.0009881544,0.00008729967],"about_ca_topic_score_codex":0.000008031545,"about_ca_topic_score_gemma":0.000004587032,"teacher_disagreement_score":0.0027636122,"about_ca_system_score_codex":0.000035868088,"about_ca_system_score_gemma":0.000088138346,"threshold_uncertainty_score":0.31470537},"labels":[],"label_agreement":null},{"id":"W2038240728","doi":"10.1016/j.jalgebra.2014.08.011","title":"Strong global dimension of commutative rings and schemes","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Global dimension; Mathematics; Noetherian; Indecomposable module; Dimension (graph theory); Local ring; Pure mathematics; Infimum and supremum; Commutative property; Noetherian ring; Krull dimension; Characterization (materials science); Dimension theory (algebra); Commutative ring; Ring (chemistry); Discrete mathematics; Algebra over a field","score_opus":0.018702803752155214,"score_gpt":0.29674706118607197,"score_spread":0.27804425743391675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038240728","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9951195,0.00020158682,0.0038113073,0.00011641097,0.00024488405,0.00004390192,0.0000011186562,0.000005756944,0.00045550562],"genre_scores_gemma":[0.9929279,0.000012017539,0.0069044014,0.00003152115,0.00010653588,2.4721126e-7,1.4324051e-7,0.000007747709,0.000009459226],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991126,0.00006127538,0.0003828604,0.00006722745,0.00026611664,0.00010991333],"domain_scores_gemma":[0.998893,0.00022317992,0.0005145736,0.00011627975,0.00017856911,0.00007436924],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030475078,0.00009935174,0.0003253745,0.000034971385,0.000042255564,0.000016069314,0.00013132494,0.000057359746,0.000019431807],"category_scores_gemma":[0.00027279498,0.00007364547,0.000080191334,0.000066398046,0.00007100616,0.00012228187,0.00007172804,0.00014101094,4.5211758e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006632594,0.000039335642,0.0026043123,0.0000425836,0.00008684442,0.0000022882193,0.00040752164,0.0000043807904,0.0003031658,0.9935455,0.00029383897,0.002603906],"study_design_scores_gemma":[0.00088173983,0.00034674437,0.0036555342,0.00010708775,0.00006432122,0.000058680867,0.00022149389,0.00016794815,0.0021035322,0.99215066,0.00016333793,0.00007892802],"about_ca_topic_score_codex":0.000005735358,"about_ca_topic_score_gemma":0.0000010412691,"teacher_disagreement_score":0.0030930943,"about_ca_system_score_codex":0.000027886808,"about_ca_system_score_gemma":0.000027954506,"threshold_uncertainty_score":0.3003175},"labels":[],"label_agreement":null},{"id":"W2038734034","doi":"10.1016/j.jalgebra.2007.09.012","title":"Defining an m-cluster category","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":78,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Mathematical proof; Combinatorics; Cluster (spacecraft); Type (biology); Cluster algebra; Discrete mathematics; Pure mathematics; Algebra over a field; Geometry; Computer science; Physics","score_opus":0.0221178104358083,"score_gpt":0.3079166158837102,"score_spread":0.2857988054479019,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038734034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98785883,0.00027492057,0.0076859994,0.000163795,0.0013332966,0.00005240507,3.4012905e-7,0.000020517366,0.0026098872],"genre_scores_gemma":[0.9919098,0.00000616098,0.00702587,0.00026940156,0.0006679892,2.834316e-7,3.6525435e-7,0.000026394848,0.00009374355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863374,0.00004367804,0.00058732985,0.000096994394,0.00038632387,0.0002519143],"domain_scores_gemma":[0.9986909,0.00029022314,0.00044838813,0.00020222558,0.00018779679,0.00018047357],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011157923,0.0001291748,0.0002758683,0.0001337074,0.00007378124,0.000042622545,0.00027454176,0.00010938927,0.00013176692],"category_scores_gemma":[0.00022533882,0.000098560784,0.00014053566,0.00011169894,0.00003200201,0.00028695195,0.000040032934,0.00031395926,0.000008504279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000119022196,0.00007119972,0.000432389,0.000016306933,0.000056910194,0.000056446115,0.0009888988,0.000007258606,0.00016543515,0.9929822,0.0017999092,0.0033040375],"study_design_scores_gemma":[0.0007219791,0.0002760758,0.0011331786,0.000027776832,0.000049280217,0.00029440303,0.00033916283,0.00001847616,0.0014741468,0.99487895,0.0006583511,0.00012819434],"about_ca_topic_score_codex":0.000005626582,"about_ca_topic_score_gemma":0.0000068243835,"teacher_disagreement_score":0.0040509524,"about_ca_system_score_codex":0.00005440312,"about_ca_system_score_gemma":0.00007510544,"threshold_uncertainty_score":0.40191922},"labels":[],"label_agreement":null},{"id":"W2038833404","doi":"10.1007/s10240-013-0057-y","title":"Affine Mirković-Vilonen polytopes","year":2013,"lang":"fr","type":"article","venue":"Publications mathématiques de l IHÉS","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Polytope; Mathematics; Combinatorics; Affine Lie algebra; Affine transformation; Dimension (graph theory); Lie algebra; Type (biology); Dynkin diagram; Quantum affine algebra; Pure mathematics; Algebra over a field; Discrete mathematics; Cellular algebra; Algebra representation; Current algebra","score_opus":0.024635456954722558,"score_gpt":0.28736693099706473,"score_spread":0.26273147404234215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038833404","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33796203,0.013124385,0.04708041,0.3030143,0.0042299097,0.004458309,0.00018336641,0.002067172,0.28788012],"genre_scores_gemma":[0.68302166,0.00083076744,0.08143806,0.002431102,0.0018770309,0.0018408168,0.00012165986,0.0002517934,0.22818711],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969231,0.00026625238,0.0009048275,0.0005302747,0.00043629194,0.0009392746],"domain_scores_gemma":[0.996498,0.00054850074,0.00043896041,0.0013606342,0.0006979718,0.00045591756],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00044890126,0.00048750825,0.00055297645,0.00028253061,0.00032481682,0.0009783801,0.000974503,0.0005265805,0.016111052],"category_scores_gemma":[0.0008979745,0.0004933526,0.00025444306,0.0006869538,0.00023586942,0.0013132351,0.00030246668,0.0005311272,0.001831383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002722673,0.00031370405,0.00023332551,0.00021927278,0.000106770785,9.842341e-7,0.0016074195,0.000006674193,0.00009526434,0.8278737,0.1610152,0.008524943],"study_design_scores_gemma":[0.00032390284,0.00006344951,0.0027318338,0.000117400945,0.00011121767,0.00006558319,0.0002514244,0.0034043845,0.0004899445,0.8528281,0.13914986,0.00046293304],"about_ca_topic_score_codex":0.0013370547,"about_ca_topic_score_gemma":0.00006503818,"teacher_disagreement_score":0.34505963,"about_ca_system_score_codex":0.00039640814,"about_ca_system_score_gemma":0.00035615024,"threshold_uncertainty_score":0.9997518},"labels":[],"label_agreement":null},{"id":"W2039014916","doi":"10.1063/1.1286512","title":"Generating-function method for fusion rules","year":2000,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; Université Laval","funders":"","keywords":"Tensor product; Lemma (botany); Set (abstract data type); Function (biology); Mathematics; Extension (predicate logic); Tensor (intrinsic definition); Algebra over a field; Affine transformation; Set function; Basis (linear algebra); Pure mathematics; Fusion rules; Computer science; Artificial intelligence; Geometry","score_opus":0.03612691022524876,"score_gpt":0.3259555144611744,"score_spread":0.2898286042359256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039014916","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23534805,0.000038306614,0.76297206,0.00013665055,0.00029821054,0.00017559483,0.00000256997,0.00002024189,0.0010083363],"genre_scores_gemma":[0.19390713,0.000016010355,0.8020632,0.00024531622,0.0029711293,0.000013638763,0.000001980108,0.00006397641,0.0007175726],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986739,0.0000630429,0.00060240517,0.00010851739,0.0003734864,0.00017860804],"domain_scores_gemma":[0.99843746,0.0007533413,0.00033369864,0.00018274593,0.00020230253,0.000090462185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054734194,0.00015339126,0.00043028564,0.000025268411,0.000104437844,0.000045150082,0.00017219984,0.000091360846,0.00043215815],"category_scores_gemma":[0.0002560587,0.000108175576,0.00030692387,0.00007129024,0.000023434217,0.0001463215,0.000017965267,0.00018378832,0.000015462854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011873375,0.00020572207,7.1762486e-7,0.00013118649,0.00007817595,0.0000013224105,0.00025448514,0.00026197886,0.00093123905,0.9490772,0.0024081494,0.046531107],"study_design_scores_gemma":[0.00069742854,0.00027596802,0.0000028360191,0.00007903597,0.0001628447,0.00003219837,0.000034794906,0.014211016,0.0010429259,0.9825741,0.00076871284,0.000118104675],"about_ca_topic_score_codex":4.1805504e-7,"about_ca_topic_score_gemma":7.1431394e-8,"teacher_disagreement_score":0.046413,"about_ca_system_score_codex":0.000033684297,"about_ca_system_score_gemma":0.000040087987,"threshold_uncertainty_score":0.4731829},"labels":[],"label_agreement":null},{"id":"W2039289607","doi":"10.4310/mrl.2004.v11.n1.a5","title":"Relations in the quantum cohomology ring of $G/B$","year":2004,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Cohomology ring; Ring (chemistry); Quantum cohomology; Ideal (ethics); Flag (linear algebra); Quantum; Pure mathematics; Product (mathematics); Cohomology; Combinatorics; Discrete mathematics; Algebra over a field; Equivariant cohomology; Geometry; Quantum mechanics; Physics; Chemistry","score_opus":0.1299069949879112,"score_gpt":0.40794989230062434,"score_spread":0.27804289731271314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039289607","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97809494,0.000019376635,0.00817605,0.009927767,0.000056616114,0.00039583837,8.920522e-7,0.000018297578,0.0033102143],"genre_scores_gemma":[0.99716485,0.0000020412747,0.00252042,0.00016654553,0.000049287763,0.000055883906,5.97181e-7,0.000015215435,0.000025139458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979073,0.0003099321,0.00039722558,0.0001739341,0.0007945036,0.00041712224],"domain_scores_gemma":[0.9963132,0.0030683812,0.00005764585,0.00044267354,0.000067345776,0.000050745384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002255173,0.00009910549,0.00023965481,0.00016724496,0.00011008545,0.000027444357,0.0004945557,0.000081845596,0.00011277285],"category_scores_gemma":[0.0028313457,0.00006421716,0.00007608944,0.00044894117,0.00034268532,0.000060862018,0.00010584863,0.00057237217,0.00004761907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010800424,0.00011610411,0.000059416037,0.000072175775,0.000011092566,0.000019136438,0.0021548658,0.000037306945,0.00084833044,0.9962594,0.0003799956,0.000031397245],"study_design_scores_gemma":[0.00044334264,0.00005353821,0.00035754766,0.00008414755,0.000006306402,0.000015006346,0.0004654979,0.00012942584,0.0003964755,0.9979485,0.000036321602,0.00006383434],"about_ca_topic_score_codex":0.000045197965,"about_ca_topic_score_gemma":0.000009163008,"teacher_disagreement_score":0.019069921,"about_ca_system_score_codex":0.000092683345,"about_ca_system_score_gemma":0.000056397377,"threshold_uncertainty_score":0.33895898},"labels":[],"label_agreement":null},{"id":"W2040362746","doi":"10.1090/s0065-9266-2013-00679-x","title":"Torsors, reductive group schemes and extended affine Lie algebras","year":2013,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Lie algebra; Affine transformation; Pure mathematics; Affine Lie algebra; Simple (philosophy); Adjoint representation of a Lie algebra; Group (periodic table); Affine representation; Algebra over a field; Lie conformal algebra; Current algebra; Physics","score_opus":0.013521997812979168,"score_gpt":0.26178079347529054,"score_spread":0.24825879566231138,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040362746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99335307,0.00019016833,0.0019622329,0.002612597,0.0002048166,0.00056640105,0.0000040127256,0.00007739842,0.0010293229],"genre_scores_gemma":[0.9514375,0.00004636446,0.04720191,0.0002843864,0.00017315833,0.00006302337,6.9782834e-7,0.00004481127,0.0007481839],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983511,0.00009315799,0.0004348505,0.00030848142,0.0004489041,0.00036350932],"domain_scores_gemma":[0.9981455,0.0005705662,0.00042327426,0.0006247773,0.000104153914,0.0001317027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027784458,0.0002671868,0.00063932344,0.000017440963,0.00015414097,0.00004303975,0.00044829113,0.000086897024,0.00033431608],"category_scores_gemma":[0.0004912516,0.00016962738,0.00038847502,0.00030042653,0.0012054456,0.00014329537,0.00036750367,0.0002588725,0.000010479403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014230229,0.0002772968,0.00008775199,0.00020984163,0.00025023564,2.7201241e-7,0.0018880275,5.2440697e-7,0.0021765202,0.97847116,0.012988853,0.0036352838],"study_design_scores_gemma":[0.00028633844,0.00010633227,0.0008211294,0.00007101692,0.000090272544,0.000011897986,0.0019077293,0.00025497194,0.0020378255,0.99398184,0.00022261414,0.00020803415],"about_ca_topic_score_codex":0.000072948955,"about_ca_topic_score_gemma":7.0130636e-7,"teacher_disagreement_score":0.045239676,"about_ca_system_score_codex":0.000057345358,"about_ca_system_score_gemma":0.000027243548,"threshold_uncertainty_score":0.6917204},"labels":[],"label_agreement":null},{"id":"W2041218947","doi":"10.1088/1126-6708/2009/03/151","title":"Genus two surface and quarter BPS dyons: the contour prescription","year":2009,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Moduli space; Genus; Surface (topology); String (physics); Quarter (Canadian coin); Partition function (quantum field theory); Spectrum (functional analysis); String theory","score_opus":0.016784897064065482,"score_gpt":0.2570925277130796,"score_spread":0.24030763064901411,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041218947","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9748605,0.0006232765,0.022342158,0.0009012271,0.00083251443,0.000050536142,0.000001446745,0.00001430526,0.00037406632],"genre_scores_gemma":[0.9976447,0.00007476368,0.0009012989,0.00026378833,0.0009859087,5.200375e-7,4.0862085e-7,0.000011100537,0.00011750753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991168,0.00007471692,0.00029737945,0.00008705685,0.0002798184,0.00014427849],"domain_scores_gemma":[0.99914473,0.00012643849,0.00034385078,0.00018155752,0.0001436543,0.00005975641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001451586,0.00012873545,0.0002478884,0.000014270713,0.000094361436,0.0000620327,0.00017020688,0.000048008336,0.000007467927],"category_scores_gemma":[0.0000230898,0.000078880046,0.00009785165,0.00006475483,0.00003349201,0.00018755112,0.0000185809,0.00017096629,4.6922182e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004472607,0.000050874238,0.00001297999,0.0000036925867,0.000054481803,0.0000057501984,0.00028647808,0.00023270752,0.00026454584,0.99196434,0.0032538103,0.003825633],"study_design_scores_gemma":[0.0007457849,0.00021017795,0.0003655357,0.000025505075,0.000074481955,0.000043957894,0.00007243379,0.00013398126,0.0013961989,0.9961135,0.00072383136,0.00009462489],"about_ca_topic_score_codex":0.00003587468,"about_ca_topic_score_gemma":0.0000045116453,"teacher_disagreement_score":0.022784233,"about_ca_system_score_codex":0.000027843427,"about_ca_system_score_gemma":0.000033450484,"threshold_uncertainty_score":0.3216635},"labels":[],"label_agreement":null},{"id":"W2041276723","doi":"10.1007/s00208-004-0545-y","title":"Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities","year":2004,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Quotient; Equivalence (formal languages); Reflection (computer programming); Gravitational singularity; Algebra over a field; Mathematical analysis","score_opus":0.04849723094447459,"score_gpt":0.32694721650123504,"score_spread":0.2784499855567604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041276723","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.977582,0.00032144744,0.018865455,0.00017658737,0.000113268026,0.0003715881,0.000024905172,0.0000421268,0.0025026512],"genre_scores_gemma":[0.9908799,0.000044045333,0.008908157,0.000008568917,0.000026293892,0.00002992515,0.0000065078184,0.000021474407,0.00007513357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984454,0.000067173285,0.0007834249,0.00017880398,0.0003392333,0.00018597806],"domain_scores_gemma":[0.9983659,0.00029001164,0.0005514021,0.0004145364,0.00032412395,0.00005404289],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002682272,0.00015696468,0.0004223198,0.00023699884,0.00015010627,0.000015005288,0.00014726685,0.00009940349,0.000037090682],"category_scores_gemma":[0.00060538354,0.00014541438,0.00013045319,0.00042187423,0.00020499584,0.00021820136,0.00008378364,0.00011883159,0.0000011679799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001666022,0.00017821742,0.00024069483,0.00065441575,0.00012031093,3.68987e-7,0.0055226767,0.00016380147,0.0022185175,0.99070156,0.00010019126,0.00008260526],"study_design_scores_gemma":[0.0005330109,0.00018271583,0.0010216095,0.00029325206,0.00016274436,0.000041452295,0.0010792466,0.00012302956,0.018383551,0.97804976,0.000009164284,0.00012048102],"about_ca_topic_score_codex":0.0001421318,"about_ca_topic_score_gemma":0.00007307459,"teacher_disagreement_score":0.016165033,"about_ca_system_score_codex":0.000045071913,"about_ca_system_score_gemma":0.00010693667,"threshold_uncertainty_score":0.59298265},"labels":[],"label_agreement":null},{"id":"W2041389863","doi":"10.1016/j.physd.2012.01.002","title":"On higher genus Weierstrass sigma-function","year":2012,"lang":"en","type":"article","venue":"Physica D Nonlinear Phenomena","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; Université de Sherbrooke","keywords":"Genus; Mathematics; Riemann surface; Sigma; Compact Riemann surface; Pure mathematics; Weierstrass functions; Moduli space; Theta function; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.03410778029106171,"score_gpt":0.2816567972418391,"score_spread":0.2475490169507774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041389863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9463716,0.00014594076,0.0009510258,0.00028219374,0.003960135,0.0003981784,0.000019070125,0.00030026253,0.047571585],"genre_scores_gemma":[0.99122626,0.0000026441378,0.0010498441,0.00026572292,0.0063049532,0.000024914758,0.000012593713,0.000059449936,0.0010536277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987268,0.00004747901,0.00020759819,0.00023901898,0.00032574835,0.00045339836],"domain_scores_gemma":[0.9990483,0.00020009432,0.00011675401,0.0004299473,0.00004154399,0.00016335292],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011454472,0.00023902956,0.00026066232,0.000043620632,0.00012702736,0.000028786397,0.00017338726,0.00007532741,0.0004013284],"category_scores_gemma":[0.000031941046,0.00020134111,0.0001261107,0.00015489537,0.000040239654,0.00017271517,0.00005466939,0.00021859296,0.00021332258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007765341,0.00042827477,0.000032392516,0.000025077796,0.00008721204,4.5045672e-7,0.00027006134,0.000013539885,0.0003472061,0.99296063,0.0023599742,0.0033975367],"study_design_scores_gemma":[0.0006799743,0.00019947393,0.00053325034,0.000015657632,0.00008723392,8.1424685e-7,0.000042159725,0.00021583214,0.0008042314,0.9668339,0.030244464,0.0003430197],"about_ca_topic_score_codex":0.000006458413,"about_ca_topic_score_gemma":2.5590003e-7,"teacher_disagreement_score":0.046517957,"about_ca_system_score_codex":0.00008418616,"about_ca_system_score_gemma":0.0000190171,"threshold_uncertainty_score":0.8210452},"labels":[],"label_agreement":null},{"id":"W2041678620","doi":"10.1007/s00029-013-0132-8","title":"Formal Hecke algebras and algebraic oriented cohomology theories","year":2013,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of Ottawa","funders":"","keywords":"Mathematics; Formal group; Pure mathematics; Multiplicative function; Algebra over a field; Affine transformation; Cohomology","score_opus":0.012063674163802886,"score_gpt":0.25457615749651347,"score_spread":0.24251248333271058,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041678620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98170877,0.00016229473,0.006182986,0.00048969506,0.0003348287,0.0008518596,0.0000031710188,0.00029062663,0.00997578],"genre_scores_gemma":[0.98954964,0.00001544821,0.008663398,0.00022540819,0.00013712587,0.00017201377,0.0000052364057,0.00006456533,0.0011671716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793464,0.0001010757,0.0005352533,0.00039742468,0.00033052915,0.000701091],"domain_scores_gemma":[0.9982312,0.00068217714,0.0001983168,0.0005208406,0.00017637832,0.00019114403],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003076401,0.0003633273,0.0005734915,0.00010347142,0.00027031713,0.00011623905,0.00030005217,0.00021033442,0.0018144397],"category_scores_gemma":[0.00064296933,0.00028055575,0.00009903494,0.0002645102,0.0002433114,0.00041683848,0.00022153287,0.0002643986,0.00022537656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000148028985,0.00006943382,0.00012756507,0.00014262916,0.00009162421,0.0000029269297,0.0010972717,6.752125e-8,0.00018838566,0.99531835,0.0023067147,0.00064021116],"study_design_scores_gemma":[0.0005954611,0.00017034983,0.00025465467,0.000039094342,0.00006727749,0.00013364782,0.00033046742,0.00030420913,0.0011537349,0.9963594,0.0002648835,0.0003268205],"about_ca_topic_score_codex":0.00002774063,"about_ca_topic_score_gemma":0.0000049283667,"teacher_disagreement_score":0.008808608,"about_ca_system_score_codex":0.00003746764,"about_ca_system_score_gemma":0.000059789767,"threshold_uncertainty_score":0.99996465},"labels":[],"label_agreement":null},{"id":"W2042452656","doi":"10.1080/00927872.2010.492044","title":"Constructions of Stratified Algebras","year":2011,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field; Mathematics education","score_opus":0.14758328467253296,"score_gpt":0.3404564476851343,"score_spread":0.19287316301260132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042452656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90682834,0.00035009347,0.0010413383,0.00015564424,0.00033084024,0.000374075,0.0000086852315,0.00009946909,0.09081151],"genre_scores_gemma":[0.9410337,0.000076737204,0.0587192,0.000023304023,0.000015083877,0.000048733295,0.000005320947,0.00001829353,0.000059586386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882865,0.0001391651,0.00055752724,0.00016041152,0.00013988896,0.00017437196],"domain_scores_gemma":[0.9972581,0.00033986068,0.0002064079,0.0020359932,0.00010857534,0.000051045194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002282113,0.00013317591,0.00026335925,0.00015927853,0.00010746619,0.000010142619,0.0010812889,0.00011182438,0.00032767048],"category_scores_gemma":[0.00022502652,0.00013304735,0.00008310985,0.00040348907,0.00040273322,0.0001225383,0.00028651653,0.0002581311,0.00000909004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008319697,0.00016627857,0.0024217034,0.0000142167855,0.00002643361,4.0684645e-7,0.0014040918,3.2274528e-7,0.00007621172,0.9943764,0.000105878404,0.0013996951],"study_design_scores_gemma":[0.00036266868,0.000030573672,0.004008987,0.00003702612,0.000023853032,0.0000071029463,0.00065458304,0.000061936305,0.0015003759,0.99301153,0.0001714351,0.0001299075],"about_ca_topic_score_codex":0.00010967877,"about_ca_topic_score_gemma":0.00014467543,"teacher_disagreement_score":0.09075193,"about_ca_system_score_codex":0.000034188877,"about_ca_system_score_gemma":0.00008168631,"threshold_uncertainty_score":0.54255134},"labels":[],"label_agreement":null},{"id":"W2042563327","doi":"10.2140/ant.2010.4.599","title":"Transverse quiver Grassmannians and bases in affine cluster algebras","year":2010,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Mathematics; Cluster algebra; Affine transformation; Pure mathematics; Cluster (spacecraft); Algebra over a field; Physics; Computer science","score_opus":0.011683693403839334,"score_gpt":0.2701150595188001,"score_spread":0.25843136611496076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042563327","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98764855,0.000032983688,0.00028040181,0.00034657223,0.0007864223,0.00033880994,0.000031948995,0.00012579543,0.010408503],"genre_scores_gemma":[0.99618423,0.0000137012175,0.0014554207,0.0005912492,0.00028698597,0.000047481175,0.000012657625,0.00007161843,0.00133668],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823225,0.00017832524,0.00039250817,0.00046061235,0.0002682435,0.00046807487],"domain_scores_gemma":[0.99806654,0.0010771437,0.00010138202,0.0005409661,0.00004966739,0.00016428666],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00051771884,0.00034295826,0.0004074983,0.00009795999,0.000118738455,0.00006116699,0.00030368785,0.00026914504,0.0077943876],"category_scores_gemma":[0.00028377658,0.00030076093,0.00012798891,0.00020312062,0.00024244608,0.00026229204,0.00011380019,0.00057166605,0.000088719666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012337233,0.000112986796,0.0016884686,0.000040008763,0.000048321846,0.000025818623,0.0015527281,5.0109645e-7,0.00034103752,0.9901672,0.0033104545,0.0025890926],"study_design_scores_gemma":[0.0011523435,0.000034594716,0.001728115,0.000036588528,0.000059244507,0.00006448428,0.00037493353,0.000029167737,0.00072618097,0.99095654,0.004455212,0.0003825872],"about_ca_topic_score_codex":0.00006612324,"about_ca_topic_score_gemma":0.0004768522,"teacher_disagreement_score":0.009071823,"about_ca_system_score_codex":0.000024834402,"about_ca_system_score_gemma":0.000046903824,"threshold_uncertainty_score":0.99994445},"labels":[],"label_agreement":null},{"id":"W2042743954","doi":"10.1007/s00220-012-1473-4","title":"The W N Minimal Model Classification","year":2012,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; MacEwan University","funders":"","keywords":"Minimal models; Modular design; Unitary state; Invariant (physics); Minimal model; Modular form; Conformal map; Modular curve; Modular invariance","score_opus":0.1861510168033602,"score_gpt":0.389026011847757,"score_spread":0.2028749950443968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042743954","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3009948,0.0023731967,0.43444926,0.008189681,0.00088632846,0.00267327,0.000015327818,0.0005966737,0.24982144],"genre_scores_gemma":[0.95860636,0.000070614056,0.040800717,0.0000468831,0.00009976501,0.00015502283,0.0000036813374,0.000026175374,0.00019076506],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875826,0.00013386378,0.00043005947,0.000109784196,0.00023891455,0.00032912105],"domain_scores_gemma":[0.99582183,0.0018064516,0.0001375179,0.00209309,0.000066747314,0.00007436626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063769997,0.0001412551,0.00019059086,0.000020980002,0.00035643525,0.000050566247,0.0011058958,0.00008272534,0.000008843198],"category_scores_gemma":[0.0005268645,0.0001003172,0.0000839716,0.00022841425,0.00026807262,0.00019611396,0.00035553475,0.0003261876,0.000042219577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000037379386,0.00026362608,0.00009428536,0.00001594028,0.000009832249,1.7091319e-8,0.000828522,0.000011951534,0.000034286062,0.996169,0.00042176573,0.0021470794],"study_design_scores_gemma":[0.00013122779,0.0000050732515,0.00013198979,0.000020477475,0.000018342143,0.0000010787306,0.00028802417,0.09339451,0.000040218485,0.9054567,0.00040295528,0.00010935914],"about_ca_topic_score_codex":9.686406e-7,"about_ca_topic_score_gemma":0.0000018552,"teacher_disagreement_score":0.65761155,"about_ca_system_score_codex":0.00008389826,"about_ca_system_score_gemma":0.000036162393,"threshold_uncertainty_score":0.40908167},"labels":[],"label_agreement":null},{"id":"W2042835016","doi":"10.1063/1.3157921","title":"Paths and partitions: Combinatorial descriptions of the parafermionic states","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Bijection; Context (archaeology); Basis (linear algebra); Representation (politics); Conformal map; Field (mathematics); Conformal field theory; Pure mathematics; Mathematics; Theoretical physics; Combinatorics; Algebra over a field; Physics; Geometry","score_opus":0.0326367242553303,"score_gpt":0.28940130707368883,"score_spread":0.2567645828183585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042835016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99141735,0.00015268482,0.006531553,0.00068836304,0.00058342936,0.0001840376,0.000004089626,0.000012020182,0.00042649265],"genre_scores_gemma":[0.99787825,0.000036921912,0.0017504444,0.000059320235,0.00024468152,0.0000015841332,2.235738e-7,0.000009586789,0.000019004565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871594,0.00007621566,0.00059838174,0.00007285012,0.00039428554,0.00014235136],"domain_scores_gemma":[0.9985955,0.00041013933,0.0004870007,0.0002265676,0.0002048726,0.00007595211],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028072018,0.00012253468,0.00037731382,0.000021630389,0.00009445568,0.0000289275,0.0002111571,0.000060964536,0.000022434006],"category_scores_gemma":[0.00037275165,0.000073246,0.00019331358,0.00013354901,0.000117791606,0.00013906971,0.00003908198,0.00023682413,0.0000012048878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018384584,0.00029829418,0.000017365708,0.00004867376,0.000035923287,0.0000011447459,0.0004528004,0.00001978911,0.00016919486,0.9978687,0.0005927397,0.0004769795],"study_design_scores_gemma":[0.0005741013,0.00019435873,0.00022957574,0.00019034132,0.000120351346,0.00002982083,0.00012097785,0.00016628107,0.0010247278,0.9972372,0.000035685727,0.000076587705],"about_ca_topic_score_codex":4.1960232e-7,"about_ca_topic_score_gemma":9.2487454e-8,"teacher_disagreement_score":0.006460903,"about_ca_system_score_codex":0.000026804399,"about_ca_system_score_gemma":0.000058563877,"threshold_uncertainty_score":0.29868853},"labels":[],"label_agreement":null},{"id":"W2043905827","doi":"10.1063/1.4896324","title":"On the dimensions of oscillator algebras induced by orthogonal polynomials","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; McGill University","funders":"","keywords":"Orthogonal polynomials; Hermite polynomials; Recurrence relation; Mathematics; Dimension (graph theory); Pure mathematics; Legendre polynomials; Class (philosophy); Classical orthogonal polynomials; Wilson polynomials; Discrete orthogonal polynomials; Gegenbauer polynomials; Ladder operator; Real line; Algebra over a field; Combinatorics; Mathematical analysis; Extension (predicate logic)","score_opus":0.03297572055988936,"score_gpt":0.2822550486083956,"score_spread":0.24927932804850628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043905827","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98854214,0.000016205659,0.009261463,0.00060225517,0.00031115065,0.00014608214,0.0000038279136,0.000010634748,0.0011062156],"genre_scores_gemma":[0.99806917,0.0000031063917,0.0012802315,0.00022517327,0.00035128085,0.0000023372977,2.856402e-7,0.000029948878,0.00003847218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99795395,0.00016661965,0.0008141661,0.000113948394,0.0007449228,0.00020641553],"domain_scores_gemma":[0.99504626,0.0033954394,0.0008381101,0.0003818392,0.00021084782,0.0001274988],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000818064,0.00019805,0.00062649965,0.000033672768,0.00009131021,0.000025825064,0.00038090738,0.000105024475,0.00011710515],"category_scores_gemma":[0.0017874996,0.00009830864,0.00031354142,0.0001386628,0.00009890897,0.00007788039,0.00007204186,0.00037567547,0.00001357182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036491387,0.00024981366,0.0000041081885,0.000041731033,0.00009450907,5.0207615e-7,0.00019935038,0.000006153231,0.004888123,0.9872794,0.0068696174,0.0003301882],"study_design_scores_gemma":[0.00044459032,0.0003178217,0.000013673951,0.00014008765,0.00009043172,0.000009999073,0.00005275206,0.00021340988,0.010333583,0.98816603,0.00010223618,0.00011538993],"about_ca_topic_score_codex":6.784439e-7,"about_ca_topic_score_gemma":8.593501e-8,"teacher_disagreement_score":0.009526998,"about_ca_system_score_codex":0.000030211755,"about_ca_system_score_gemma":0.000064931395,"threshold_uncertainty_score":0.400891},"labels":[],"label_agreement":null},{"id":"W2044263178","doi":"10.1016/j.jpaa.2007.07.005","title":"Isotriviality and étale cohomology of Laurent polynomial rings","year":2007,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Laurent polynomial; Pure mathematics; Cohomology; Algebraic group; Polynomial ring; Algebra over a field; Polynomial; Affine transformation; Group (periodic table); Algebraic number; Mathematical analysis","score_opus":0.016427653713139964,"score_gpt":0.2702666735210128,"score_spread":0.2538390198078728,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044263178","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99715847,0.000416343,0.0010434744,0.00013356456,0.0003112031,0.00009829689,0.0000018455547,0.000006380197,0.00083040417],"genre_scores_gemma":[0.99819225,0.000041638672,0.0011647523,0.00007029965,0.000491655,6.25267e-7,3.3071063e-7,0.000011490376,0.00002694223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989423,0.000017865143,0.0005340654,0.00011401186,0.00021197883,0.00017976719],"domain_scores_gemma":[0.9990189,0.00020648606,0.00048216697,0.00010655311,0.00006762117,0.00011826911],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059433084,0.00012956528,0.00043103483,0.00008130613,0.000054435754,0.000016530998,0.00011351291,0.000136048,0.000030178207],"category_scores_gemma":[0.000049546827,0.00009907299,0.000072847324,0.00007000322,0.000116843024,0.000051549203,0.00006830745,0.00023051248,2.9680993e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039545706,0.00011380622,0.0019547518,0.00010810205,0.00014131087,0.000015855378,0.0009654624,7.2856045e-7,0.0059603257,0.9823669,0.0019041061,0.006073171],"study_design_scores_gemma":[0.0016278712,0.00023102055,0.005738992,0.000028470182,0.000108610446,0.00016197671,0.0003209483,0.0000019984873,0.011244577,0.9796801,0.0007179283,0.00013750819],"about_ca_topic_score_codex":0.0000049879086,"about_ca_topic_score_gemma":0.000007652453,"teacher_disagreement_score":0.0059356624,"about_ca_system_score_codex":0.000015630689,"about_ca_system_score_gemma":0.0000321679,"threshold_uncertainty_score":0.4040079},"labels":[],"label_agreement":null},{"id":"W2044496256","doi":"10.1088/1126-6708/2006/02/005","title":"Conformal characters and the modular representation","year":2006,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Modular design; Conformal map; Representation (politics); Conformal field theory; Field (mathematics); Algebra over a field; Modular invariance; Modular form","score_opus":0.011795526425993031,"score_gpt":0.23672549273317947,"score_spread":0.22492996630718645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044496256","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.967622,0.00009748487,0.031001609,0.00035231214,0.0005275988,0.000032412736,6.241624e-7,0.000006917522,0.00035902896],"genre_scores_gemma":[0.99848175,0.000033022297,0.000338444,0.00008159243,0.00095626997,0.0000012331943,9.599929e-7,0.000009265955,0.000097471675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993145,0.00004161332,0.00027443148,0.000051601997,0.0002308673,0.000087001325],"domain_scores_gemma":[0.9992298,0.0001441329,0.00038288278,0.00011477414,0.000104466184,0.00002397238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012028148,0.00007765251,0.00020291883,0.000017503731,0.00006410298,0.000038251597,0.000100480414,0.000032807075,0.000002887607],"category_scores_gemma":[0.00002039825,0.000045778655,0.00008783822,0.00005579915,0.00006866579,0.00018372855,0.000024599778,0.000094981806,1.7405641e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081560116,0.000016850407,0.000016295086,0.0000036966483,0.00003888065,0.000002908896,0.0000822133,0.00023533849,0.000056222474,0.9986066,0.000258005,0.0006013964],"study_design_scores_gemma":[0.0014086668,0.000029119998,0.00078868127,0.000009095038,0.00005166681,0.00002188835,0.00002661075,0.0002566631,0.0021631606,0.9950413,0.00014929762,0.00005381316],"about_ca_topic_score_codex":0.000098509794,"about_ca_topic_score_gemma":0.0000012560571,"teacher_disagreement_score":0.03085973,"about_ca_system_score_codex":0.000013667305,"about_ca_system_score_gemma":0.000018075547,"threshold_uncertainty_score":0.18667994},"labels":[],"label_agreement":null},{"id":"W2044536506","doi":"10.1007/s00220-002-0731-2","title":"Jack Superpolynomials, Superpartition Ordering and Determinantal Formulas","year":2003,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université Laval","funders":"","keywords":"Eigenfunction; Monomial; Hamiltonian (control theory); Trigonometry; Simple (philosophy); Basis (linear algebra); Monomial basis; Expression (computer science)","score_opus":0.08389318449086951,"score_gpt":0.3446140614229264,"score_spread":0.26072087693205687,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044536506","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9741433,0.00019880629,0.0134816645,0.00014020377,0.00008751823,0.00040025244,0.0000029865253,0.00007182645,0.011473407],"genre_scores_gemma":[0.96406215,0.00007690603,0.035667177,0.000029252165,0.000026174486,0.00006753817,0.0000032875419,0.000027409984,0.00004009005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894994,0.00012291603,0.00038689756,0.00017199606,0.00013991955,0.00022834973],"domain_scores_gemma":[0.99802613,0.000726356,0.00006643733,0.0010753203,0.000041133906,0.00006463382],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027907753,0.00016250364,0.0002890936,0.000037637456,0.00017619715,0.00005164972,0.00035900745,0.00008834963,0.000039128074],"category_scores_gemma":[0.00047331423,0.00015249594,0.00005825915,0.0001749793,0.0001846438,0.00019414464,0.00021141987,0.00023262975,0.000015605212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000026007817,0.00016353493,0.00022856945,0.00006117688,0.0000082221795,4.5579182e-7,0.0006523954,0.0000021458548,0.00013678827,0.9978892,0.000030098803,0.00082479644],"study_design_scores_gemma":[0.00037811275,0.00002145222,0.00007890732,0.00007618991,0.000020886735,0.000012488396,0.0002509575,0.0035873926,0.0008561352,0.99430054,0.00024436146,0.00017258912],"about_ca_topic_score_codex":0.000004727767,"about_ca_topic_score_gemma":0.000011383289,"teacher_disagreement_score":0.022185512,"about_ca_system_score_codex":0.000053788473,"about_ca_system_score_gemma":0.000030299545,"threshold_uncertainty_score":0.6218604},"labels":[],"label_agreement":null},{"id":"W2044591655","doi":"10.1353/ajm.2011.0031","title":"Mutation of cluster-tilting objects and potentials","year":2011,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":137,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Japan Society for the Promotion of Science; Norges Forskningsråd","keywords":"Cluster (spacecraft); Mathematics; Mutation; Computer science; Genetics; Biology; Operating system","score_opus":0.033696840657087904,"score_gpt":0.2761329194486876,"score_spread":0.24243607879159973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044591655","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97950405,0.00005305393,0.019558145,0.000020608531,0.0001605484,0.00008242219,8.322253e-7,0.000008271037,0.0006120404],"genre_scores_gemma":[0.8707829,0.000017240458,0.12909396,0.000019513589,0.000057162655,6.895185e-7,8.683805e-8,0.00001792593,0.000010485652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874467,0.000060522954,0.0007117825,0.00007176911,0.00028209842,0.00012918485],"domain_scores_gemma":[0.99756783,0.00037182923,0.0016190492,0.00015438067,0.00021307613,0.000073847776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000501487,0.00011726596,0.00048825325,0.00010159866,0.00003393712,0.000011549817,0.0001586986,0.000033136093,0.00002721147],"category_scores_gemma":[0.00046354686,0.000090278634,0.00009977801,0.00012502172,0.00014903139,0.000102682454,0.000045704463,0.00011317652,5.984138e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028633987,0.0011356155,0.0012277224,0.001334778,0.0010395884,0.000093742296,0.15128681,0.000037862657,0.0031958858,0.7868073,0.00031073176,0.053243622],"study_design_scores_gemma":[0.00047924623,0.00060227263,0.0002021598,0.00018825354,0.00016213609,0.00036852158,0.011287339,0.0002670283,0.003767122,0.9825607,0.0000028003085,0.000112450485],"about_ca_topic_score_codex":0.000014730016,"about_ca_topic_score_gemma":0.0000011746688,"teacher_disagreement_score":0.19575337,"about_ca_system_score_codex":0.000014105395,"about_ca_system_score_gemma":0.000038472335,"threshold_uncertainty_score":0.36814559},"labels":[],"label_agreement":null},{"id":"W2044837365","doi":"10.1016/j.jalgebra.2007.01.002","title":"Thin coverings of modules","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Sydney; University of Alberta; University of Ottawa","keywords":"Mathematics; Simple (philosophy); Associative property; Simple module; Abelian group; Pure mathematics; Torus; Representation theory; Algebra over a field; Lie algebra; Representation (politics); Geometry","score_opus":0.02214397406303993,"score_gpt":0.29272700726826256,"score_spread":0.27058303320522265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044837365","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98953724,0.00020838206,0.008025094,0.00008260318,0.00077459076,0.000045203833,7.3572306e-7,0.000008566997,0.0013176084],"genre_scores_gemma":[0.99199575,0.000018648547,0.0075109904,0.00005059312,0.00033021884,1.2920526e-7,9.396955e-8,0.000015095921,0.00007849869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872345,0.000018120554,0.0006298292,0.000063371226,0.0004086837,0.00015654809],"domain_scores_gemma":[0.9986376,0.0002579644,0.0006544626,0.00015618472,0.0002102707,0.0000835102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007095376,0.000099215125,0.00031895505,0.0001049099,0.000028071607,0.000012624097,0.00024302377,0.00008188741,0.000086996355],"category_scores_gemma":[0.00028436395,0.00007485158,0.0001771129,0.000108573215,0.00004087609,0.000134445,0.00004052961,0.00019709647,0.0000015031108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012784873,0.000075054886,0.00039093272,0.000051400846,0.0001005065,0.000025711619,0.00073976844,0.000019359844,0.0018378102,0.99341863,0.0015603254,0.0016526687],"study_design_scores_gemma":[0.00054102234,0.00018495508,0.001897502,0.000063481006,0.00004058537,0.0000843924,0.00016961584,0.000017614419,0.016878746,0.979538,0.00050442707,0.0000796329],"about_ca_topic_score_codex":0.000005978923,"about_ca_topic_score_gemma":0.0000017254044,"teacher_disagreement_score":0.015040937,"about_ca_system_score_codex":0.000034481825,"about_ca_system_score_gemma":0.00004109015,"threshold_uncertainty_score":0.3052359},"labels":[],"label_agreement":null},{"id":"W2044917318","doi":"10.1007/s00220-015-2310-3","title":"On a Categorical Boson–Fermion Correspondence","year":2015,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"John Templeton Foundation; National Science Foundation","keywords":"Categorical variable; Fermion; Boson; Affine transformation; Quantum; Physics; Pure mathematics; Theoretical physics; Mathematics; Algebra over a field; Quantum mechanics; Statistics","score_opus":0.20336475167103948,"score_gpt":0.39911528653016726,"score_spread":0.19575053485912777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044917318","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6446783,0.00039213477,0.20142724,0.004162418,0.0010695307,0.0020028593,0.000010062953,0.0006933496,0.14556408],"genre_scores_gemma":[0.9862208,0.000010936035,0.013220729,0.00011585548,0.000067154026,0.00009047839,0.00000550837,0.00003172614,0.00023685221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845713,0.0002221086,0.000432628,0.00021699096,0.00041683446,0.0002543069],"domain_scores_gemma":[0.99557614,0.0018967434,0.00011891683,0.0021395849,0.000121874655,0.00014670742],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004775785,0.00019255611,0.0003406477,0.000058927442,0.000100010206,0.000044920394,0.0011583935,0.00011715062,0.00003634425],"category_scores_gemma":[0.0017133248,0.00016670574,0.00008306203,0.00041970174,0.0001923926,0.000120704804,0.0004196019,0.00047324787,0.00022941819],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025032716,0.0005197627,0.000025207575,0.000020141548,0.0000075947773,0.0000018643484,0.00087610254,0.000034672612,0.000006634055,0.9962726,0.0015289489,0.00068143604],"study_design_scores_gemma":[0.0004821011,0.0000728644,0.00001516326,0.00006264921,0.000015613996,0.0000056629774,0.00019326771,0.00971491,0.000072578645,0.9889684,0.00021590819,0.00018088477],"about_ca_topic_score_codex":0.000006469425,"about_ca_topic_score_gemma":0.0000023572327,"teacher_disagreement_score":0.34154242,"about_ca_system_score_codex":0.00018931273,"about_ca_system_score_gemma":0.00009812772,"threshold_uncertainty_score":0.67980623},"labels":[],"label_agreement":null},{"id":"W2044987315","doi":"10.1007/s00493-014-3132-1","title":"Sabidussi versus Hedetniemi for three variations of the chromatic number","year":2015,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Cartesian product; Mathematics; Combinatorics; Conjecture; Chromatic scale; Homomorphism; Product (mathematics); Graph; Discrete mathematics; Geometry","score_opus":0.12270365183534478,"score_gpt":0.34171966285097594,"score_spread":0.21901601101563117,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044987315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9185837,0.0002405723,0.019819837,0.001784828,0.0206229,0.0027585293,0.000032894055,0.0002905097,0.03586626],"genre_scores_gemma":[0.99815667,9.124586e-7,0.0013408315,0.000020620872,0.0001232676,0.00008566058,0.0000018667879,0.000030450905,0.00023972619],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988527,0.000047656304,0.00033509528,0.00017753578,0.00036397524,0.00022298061],"domain_scores_gemma":[0.9981532,0.00061872404,0.00023725689,0.00064768933,0.0002451233,0.000097994845],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022997973,0.00015634407,0.00029088868,0.000021963011,0.00013465274,0.000022769145,0.0004834298,0.000117415824,0.00004380571],"category_scores_gemma":[0.0011649694,0.00010903329,0.00016812026,0.000292103,0.0000645752,0.000070347494,0.00014445963,0.000113299415,0.000010718926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004476652,0.00010519848,0.00043372583,0.000043763466,0.000059034162,1.6267595e-7,0.00031306906,0.000004720079,0.000009776171,0.9905019,0.008291793,0.0001921277],"study_design_scores_gemma":[0.002517897,0.00010925642,0.00051887514,0.000023138306,0.000103245795,0.0000019347312,0.00005742797,0.0005812656,0.00027089863,0.9936384,0.0020431331,0.00013451022],"about_ca_topic_score_codex":0.000024635774,"about_ca_topic_score_gemma":0.000008276092,"teacher_disagreement_score":0.07957299,"about_ca_system_score_codex":0.00013703901,"about_ca_system_score_gemma":0.0001719948,"threshold_uncertainty_score":0.44462487},"labels":[],"label_agreement":null},{"id":"W2045095026","doi":"10.1006/jabr.2000.8597","title":"Weak Subintegrality and Invertible Modules in Graded Rings","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Invertible matrix; Extension (predicate logic); Pure mathematics; Combinatorics; Discrete mathematics; Crystallography; Computer science; Chemistry","score_opus":0.03490309560774624,"score_gpt":0.28846362677323306,"score_spread":0.2535605311654868,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045095026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9979696,0.00031670264,0.00021760925,0.0005514471,0.00032947928,0.000066,3.1089522e-7,0.00001118583,0.00053763046],"genre_scores_gemma":[0.9983737,0.00015989589,0.001100663,0.00008029044,0.00016012674,9.755774e-7,1.4402045e-7,0.0000143818215,0.00010982151],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988662,0.000058065205,0.00050087715,0.00011154049,0.00026831508,0.00019499278],"domain_scores_gemma":[0.9992472,0.00013495178,0.00027563842,0.0001466493,0.00008639493,0.00010918925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040368128,0.00013116201,0.00034750186,0.00014451827,0.000039690123,0.000042169333,0.00017927865,0.000089671295,0.000058824957],"category_scores_gemma":[0.00024312534,0.00009935769,0.00009388589,0.00017522767,0.000050601775,0.0002324317,0.000049246315,0.0003124343,0.0000013566076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015255882,0.00012207599,0.030102674,0.000045578574,0.00005842324,0.000067907764,0.00081118086,0.0000053858016,0.0005019097,0.96521795,0.0011092235,0.0018051384],"study_design_scores_gemma":[0.00095375924,0.00011047098,0.020345733,0.000079651276,0.000022297158,0.00022492692,0.00022184406,0.000080937796,0.00071054365,0.97680056,0.00034038842,0.000108898224],"about_ca_topic_score_codex":0.000061669605,"about_ca_topic_score_gemma":0.000035701767,"teacher_disagreement_score":0.011582606,"about_ca_system_score_codex":0.000057242167,"about_ca_system_score_gemma":0.000034455923,"threshold_uncertainty_score":0.4051689},"labels":[],"label_agreement":null},{"id":"W2046501510","doi":"10.1142/s0219199706002210","title":"QUASISYMMETRIC SEWING IN RIGGED TEICHMÜLLER SPACE","year":2006,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Moduli space; Riemann surface; Pure mathematics; Moduli of algebraic curves; Conformal map; Mathematical analysis","score_opus":0.15447760577819075,"score_gpt":0.362318252027716,"score_spread":0.20784064624952525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046501510","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68040603,0.006342747,0.007390365,0.0023761645,0.00047972403,0.0019843776,0.000012550899,0.00034974766,0.3006583],"genre_scores_gemma":[0.9388318,0.00006106763,0.06018072,0.0000379309,0.000043993157,0.00011156601,0.000014502466,0.000045624078,0.00067280856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978248,0.00024053552,0.0010656127,0.00025838983,0.00030415706,0.00030652594],"domain_scores_gemma":[0.99521434,0.0019917402,0.00033385245,0.0023258561,0.00008626515,0.000047960504],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00097064057,0.00026303998,0.00053927087,0.00055190106,0.00013546122,0.000066255314,0.001263522,0.0001835936,0.000032698666],"category_scores_gemma":[0.0006415969,0.00025792012,0.00010679491,0.0012915026,0.00012743406,0.00023954496,0.00044417634,0.00049982185,0.000024638812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006324195,0.00069626863,0.0052050464,0.000103680424,0.000014602297,0.0000058798696,0.0016974327,0.00002644874,0.00003344718,0.9901755,0.0018334956,0.00020189339],"study_design_scores_gemma":[0.0009975145,0.000019366418,0.0010757704,0.00023843409,0.00001137116,0.0000059187705,0.0012456359,0.0043868246,0.00008804512,0.99012387,0.001515201,0.00029205572],"about_ca_topic_score_codex":0.000298596,"about_ca_topic_score_gemma":0.00021634204,"teacher_disagreement_score":0.29998547,"about_ca_system_score_codex":0.00018311621,"about_ca_system_score_gemma":0.0001095678,"threshold_uncertainty_score":0.9999873},"labels":[],"label_agreement":null},{"id":"W2046511471","doi":"10.1142/s0219199705001945","title":"RATIONAL JORDAN DECOMPOSITION OF BILINEAR FORMS","year":2005,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebraically closed field; Algebraic closure; Pure mathematics; Field (mathematics); Unimodular matrix; Bilinear interpolation; Closure (psychology); Jordan matrix; Bilinear form; Decomposition; Field extension; Symmetric bilinear form; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.13115175652483924,"score_gpt":0.38926380820552187,"score_spread":0.25811205168068263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046511471","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.941242,0.0012705252,0.013062969,0.0026752523,0.0001527536,0.0010621523,0.000025256108,0.00013272931,0.0403764],"genre_scores_gemma":[0.8472732,0.000047512545,0.15240021,0.000045194334,0.00003735606,0.000048880593,0.000029703346,0.000021686637,0.00009627046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99850094,0.00008806344,0.00090094865,0.0001361225,0.00023946195,0.0001344515],"domain_scores_gemma":[0.9970327,0.0009049614,0.00036603017,0.0015086177,0.00014334051,0.000044330536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005218948,0.00015193432,0.00033662142,0.00015365353,0.00010209342,0.00002138396,0.0008287572,0.000100665144,0.000047386537],"category_scores_gemma":[0.0002692138,0.00013789425,0.00009783495,0.00025904487,0.0001466028,0.00027569945,0.00025067173,0.00020933656,0.0000092713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009674426,0.0004923567,0.00024884677,0.00007451743,0.000023287454,2.5866032e-7,0.0014156047,0.000033020064,0.00014287162,0.99651706,0.00045307985,0.000589439],"study_design_scores_gemma":[0.00064555724,0.00003770772,0.00008226584,0.00013364172,0.000012854069,0.0000066198486,0.00045823678,0.015068848,0.0010861049,0.980854,0.0014612242,0.00015294646],"about_ca_topic_score_codex":0.000009172787,"about_ca_topic_score_gemma":0.000040831197,"teacher_disagreement_score":0.13933724,"about_ca_system_score_codex":0.00007296747,"about_ca_system_score_gemma":0.0001264901,"threshold_uncertainty_score":0.5623165},"labels":[],"label_agreement":null},{"id":"W2046787108","doi":"10.1090/s0002-9947-08-04588-1","title":"Sums of squares and moment problems in equivariant situations","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Algorithm; Annotation; Type (biology); Artificial intelligence; Mathematics; Computer science; Biology","score_opus":0.03598378458063519,"score_gpt":0.2801075772270785,"score_spread":0.24412379264644332,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046787108","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86033267,0.00002626519,0.13860182,0.00043605856,0.000033448894,0.00030455578,0.000007751706,0.000017185912,0.00024026129],"genre_scores_gemma":[0.98607254,0.000064132764,0.013704458,0.000021438369,0.000008014842,0.00002856193,2.1146364e-7,0.000012266468,0.000088356355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899614,0.000048562062,0.00040986508,0.00012647752,0.0002676501,0.00015132675],"domain_scores_gemma":[0.9990299,0.00035569048,0.00022518846,0.00030212506,0.000045900746,0.000041225947],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016384198,0.00011167659,0.0003749627,0.000023500836,0.00011658313,0.0000038961284,0.00017735733,0.000037937134,0.00005269487],"category_scores_gemma":[0.000040174822,0.00007579449,0.00022023632,0.0003302792,0.00071213103,0.000046993693,0.00002193623,0.00013944719,4.891876e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003764055,0.0012529567,0.0011609992,0.00096608093,0.00039595284,6.2201343e-7,0.031843644,0.0012360968,0.0075549977,0.9536337,0.00026878706,0.0016484767],"study_design_scores_gemma":[0.00037015678,0.00009830701,0.0022760923,0.00008021723,0.000067490204,0.000011689993,0.0011275967,0.002066786,0.0015407138,0.99225086,0.000007787834,0.000102313556],"about_ca_topic_score_codex":0.00011964984,"about_ca_topic_score_gemma":0.000006140599,"teacher_disagreement_score":0.1257399,"about_ca_system_score_codex":0.000034493616,"about_ca_system_score_gemma":0.000041279895,"threshold_uncertainty_score":0.30908096},"labels":[],"label_agreement":null},{"id":"W2047580325","doi":"10.2977/prims/60","title":"Super Duality and Homology of Unitarizable Modules of Lie Algebras","year":2012,"lang":"en","type":"article","venue":"Publications of the Research Institute for Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Council; National Center for Theoretical Sciences","keywords":"Mathematics; Homology (biology); Duality (order theory); Pure mathematics; Lie algebra; Algebra over a field; Chemistry; Gene; Biochemistry","score_opus":0.2874184117688322,"score_gpt":0.445237446919605,"score_spread":0.15781903515077278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047580325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98857856,0.00015474085,0.0042483057,0.0023370727,0.000120232755,0.00060658884,0.000034389814,0.000011049388,0.003909088],"genre_scores_gemma":[0.9772529,0.000010985115,0.022498868,0.000004454966,0.000031436255,0.00006696701,0.000001328598,0.0000049606365,0.0001281119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983431,0.00013079256,0.00043035945,0.00014532807,0.00060983736,0.0003405588],"domain_scores_gemma":[0.9969211,0.0018642735,0.00016634229,0.00046834143,0.00048180716,0.0000981066],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0037385097,0.00007834967,0.00026799054,0.0001543357,0.00030402924,0.000022300506,0.0008055108,0.00007286875,0.000046620815],"category_scores_gemma":[0.007828663,0.000046303954,0.00008139712,0.0007596365,0.0030447815,0.0003760252,0.00036038161,0.000109854795,7.029867e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004451731,0.00022811677,0.0007740791,0.0002685286,0.00002096802,3.1310827e-9,0.0004397862,0.0000028589097,0.000377452,0.99748856,0.0002447378,0.00015045771],"study_design_scores_gemma":[0.0001201791,0.00006418666,0.0011409244,0.00003908878,0.000017448949,0.000002929121,0.00030919412,0.0002356682,0.006931284,0.99071485,0.00037629713,0.000047935955],"about_ca_topic_score_codex":0.000091522925,"about_ca_topic_score_gemma":0.000011641418,"teacher_disagreement_score":0.018250562,"about_ca_system_score_codex":0.000019305844,"about_ca_system_score_gemma":0.00016762885,"threshold_uncertainty_score":0.99966836},"labels":[],"label_agreement":null},{"id":"W2047689816","doi":"10.1016/j.jpaa.2007.07.013","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si3.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>m</mml:mi></mml:math>-cluster categories and<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si4.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>m</mml:mi></mml:math>-replicated algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Indecomposable module; Mathematics; Algebraically closed field; Dimension (graph theory); Pure mathematics; Quiver; Cluster (spacecraft); Algebra over a field; Computer science","score_opus":0.016010481105648133,"score_gpt":0.25051976295664186,"score_spread":0.23450928185099373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047689816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9902769,0.0015713733,0.0017999602,0.0008569917,0.0024094353,0.00029531904,0.00019584893,0.0003310642,0.0022631325],"genre_scores_gemma":[0.988141,0.0010772484,0.003845585,0.0020961945,0.0034290785,0.00029617723,0.00027520736,0.0006314691,0.00020803665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.98982465,0.00019705985,0.003182545,0.0018090613,0.0026687777,0.0023178866],"domain_scores_gemma":[0.9913226,0.0016154691,0.0032961287,0.0020812044,0.00039477617,0.0012898704],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.0025572486,0.001630745,0.0013418985,0.00048772484,0.0017175598,0.0013289485,0.0017799975,0.0022712804,0.00016103148],"category_scores_gemma":[0.0008644535,0.0017349451,0.0015205047,0.0009045868,0.0010692775,0.0013747005,0.001566919,0.002648814,0.0004925969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021708326,0.00061095704,0.000028693663,0.0010531478,0.0016145549,0.00076235353,0.0024682372,0.00029697944,0.002648371,0.9832235,0.003505681,0.0016167051],"study_design_scores_gemma":[0.011045285,0.003458172,0.0004284172,0.0021822168,0.00457318,0.006231939,0.004916534,0.760237,0.036449347,0.15405323,0.012161263,0.0042634527],"about_ca_topic_score_codex":0.0002625752,"about_ca_topic_score_gemma":0.00022481578,"teacher_disagreement_score":0.8291702,"about_ca_system_score_codex":0.000080713595,"about_ca_system_score_gemma":0.0009307864,"threshold_uncertainty_score":0.99970776},"labels":[],"label_agreement":null},{"id":"W2047882939","doi":"10.1016/j.jalgebra.2009.09.024","title":"Highest weight modules over pre-exp-polynomial Lie algebras","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Verma module; Mathematics; Pure mathematics; Torus; Polynomial; Lie algebra; Non-associative algebra; Lie conformal algebra; Mathematical analysis; Geometry","score_opus":0.015541214293892998,"score_gpt":0.28132499402303657,"score_spread":0.2657837797291436,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047882939","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9927864,0.0005616457,0.0008895645,0.0015897381,0.002330481,0.00016212482,0.000003388849,0.000055100718,0.0016215775],"genre_scores_gemma":[0.9918336,0.000090640664,0.0040742243,0.00055154436,0.0030043023,0.0000016771135,0.0000011679108,0.000042237967,0.00040059624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974551,0.00008976867,0.0010000813,0.00024115389,0.0007722899,0.000441559],"domain_scores_gemma":[0.99798524,0.0002491367,0.000819526,0.0004395424,0.00022030558,0.0002862177],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00038022536,0.0003446803,0.0006864105,0.00020621032,0.00014018263,0.000117916745,0.0006249314,0.00024665182,0.0004504472],"category_scores_gemma":[0.00025369084,0.00026490662,0.00043572756,0.00020855924,0.00006944179,0.00047554704,0.00006678403,0.0005602551,0.000015070087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045073213,0.00041992188,0.00057894184,0.000035546447,0.00026377087,0.000117871634,0.0007427873,0.000017315768,0.0011894406,0.87440723,0.114880316,0.00689612],"study_design_scores_gemma":[0.0017492211,0.0006786574,0.017167173,0.00009970565,0.0001475428,0.00019167492,0.000030142817,0.000042146985,0.0026409912,0.9684463,0.008476338,0.00033011107],"about_ca_topic_score_codex":0.000006569414,"about_ca_topic_score_gemma":0.0000018926465,"teacher_disagreement_score":0.10640398,"about_ca_system_score_codex":0.00013185314,"about_ca_system_score_gemma":0.00013251306,"threshold_uncertainty_score":0.99998033},"labels":[],"label_agreement":null},{"id":"W2048079955","doi":"10.1090/s0002-9947-2012-05577-2","title":"Hochschild (co-)homology of schemes with tilting object","year":2012,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hochschild homology; Homology (biology); Pure mathematics; Algebra over a field; Cohomology; Genetics; Biology","score_opus":0.02281644431686157,"score_gpt":0.2969334020193658,"score_spread":0.2741169577025042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048079955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8637232,0.000032646076,0.13469224,0.0001642655,0.000065694505,0.0002158902,0.0000070298556,0.00004097999,0.0010580674],"genre_scores_gemma":[0.95296437,0.000007220289,0.046821322,0.000048983708,0.000041937343,0.000015323847,2.645641e-7,0.000026148062,0.00007441234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988212,0.00007191491,0.00036602616,0.00012464641,0.0003211468,0.0002950954],"domain_scores_gemma":[0.9984326,0.0005499109,0.00040638653,0.00047564757,0.000063080144,0.00007242694],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026498517,0.00016456435,0.0005050635,0.000017851737,0.00013087869,0.000005134641,0.00030308423,0.000058056205,0.00015442974],"category_scores_gemma":[0.00006904636,0.000098400364,0.00040554834,0.00031097868,0.00079602323,0.00007943107,0.000018859393,0.00023704437,0.0000025132306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014662382,0.0014660733,0.0032658356,0.0009430947,0.0013589674,2.2928086e-7,0.010862149,0.00009013567,0.0035734663,0.9752454,0.00036869937,0.002679319],"study_design_scores_gemma":[0.0010120095,0.00042152958,0.002213338,0.00022090992,0.0007353227,0.00007202152,0.0050614267,0.00064681965,0.048037454,0.941004,0.000116467556,0.00045870736],"about_ca_topic_score_codex":0.00002891003,"about_ca_topic_score_gemma":8.566333e-7,"teacher_disagreement_score":0.08924119,"about_ca_system_score_codex":0.000031172156,"about_ca_system_score_gemma":0.00004051037,"threshold_uncertainty_score":0.40126505},"labels":[],"label_agreement":null},{"id":"W2048960511","doi":"10.1006/jabr.2001.8850","title":"Set Covering and Serre's Theorem on the Cohomology Algebra of a p-Group","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Cohomology; Étale cohomology; Group (periodic table); Pure mathematics; Algebra over a field; Group cohomology","score_opus":0.03217299624385593,"score_gpt":0.28140775547892005,"score_spread":0.2492347592350641,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048960511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9965836,0.00024453577,0.00052404567,0.00089790596,0.0005278607,0.00012778041,0.0000022418312,0.000010336894,0.0010816881],"genre_scores_gemma":[0.9988728,0.0001537858,0.0003043829,0.00031279575,0.00027414376,0.000001906715,3.1405418e-7,0.000023664985,0.00005618314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859995,0.00014198932,0.0005535008,0.00012455563,0.00036461902,0.00021539656],"domain_scores_gemma":[0.9979455,0.0009457635,0.00062885875,0.00027191965,0.00012251629,0.00008547287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070276356,0.00017474903,0.00044004514,0.000092291106,0.0000864777,0.000031737767,0.00032287283,0.000115341696,0.00019129534],"category_scores_gemma":[0.00035403334,0.00010435409,0.00015347176,0.00014344844,0.00014084711,0.00010930826,0.00008611007,0.000360791,0.0000021098854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002342694,0.000051549927,0.00076263276,0.000024481013,0.0001543985,0.000044222397,0.0011945171,0.000008983149,0.0003447652,0.9952857,0.0011439857,0.00075052975],"study_design_scores_gemma":[0.0008040983,0.0005710988,0.001183336,0.00009729765,0.00007384806,0.00064369227,0.0005914993,0.000049788327,0.0007601052,0.9943372,0.0007737146,0.00011432119],"about_ca_topic_score_codex":0.0000067229435,"about_ca_topic_score_gemma":0.0000033420467,"teacher_disagreement_score":0.0022892184,"about_ca_system_score_codex":0.00003261107,"about_ca_system_score_gemma":0.00004260936,"threshold_uncertainty_score":0.42554364},"labels":[],"label_agreement":null},{"id":"W2049923016","doi":"10.1112/s0010437x13007367","title":"Braid group actions via categorified Heisenberg complexes","year":2013,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Alfred P. Sloan Foundation; National Science Foundation","keywords":"Braid group; Mathematics; Categorical variable; Heisenberg group; Braid; Algebra over a field; Construct (python library); Pure mathematics; Braid theory; Group (periodic table); Vertex (graph theory); Combinatorics; Quantum mechanics","score_opus":0.04560710930024776,"score_gpt":0.2940753852744083,"score_spread":0.24846827597416055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049923016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77682126,0.000107887034,0.17304568,0.0025959485,0.0014127658,0.0021244502,0.000013839281,0.001064769,0.042813383],"genre_scores_gemma":[0.97927547,0.000003118441,0.0193392,0.00019769023,0.00024083663,0.00022138827,0.000018749286,0.00006796328,0.0006355644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998162,0.00008611874,0.000563094,0.0003557511,0.00038155762,0.0004515236],"domain_scores_gemma":[0.9981025,0.0005952952,0.00020734007,0.0007455952,0.00014166057,0.00020761225],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00012865687,0.00033883276,0.000519422,0.00009748388,0.00035720257,0.00018102098,0.0004354359,0.00014610574,0.00210222],"category_scores_gemma":[0.00006481038,0.00029101263,0.00020252624,0.0002050729,0.00012642628,0.00029239134,0.00014000849,0.00024908382,0.0005588989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007447976,0.0002357854,0.000009030973,0.00013382755,0.00009081431,0.0000027678352,0.00044641,0.0000018773063,0.010602643,0.98151827,0.006612791,0.00033831727],"study_design_scores_gemma":[0.00046675038,0.00007504554,0.00018341285,0.000046569174,0.00007359152,0.000077825425,0.00014065055,0.001177758,0.0029155936,0.99388885,0.0006063568,0.00034756417],"about_ca_topic_score_codex":0.000054928045,"about_ca_topic_score_gemma":0.000005692383,"teacher_disagreement_score":0.20245421,"about_ca_system_score_codex":0.00007617474,"about_ca_system_score_gemma":0.000023315823,"threshold_uncertainty_score":0.9999542},"labels":[],"label_agreement":null},{"id":"W2050437086","doi":"10.1088/1742-6596/128/1/012054","title":"Contractions of affine Kac-Moody algebras","year":2008,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Contraction (grammar); Affine transformation; Mathematics; Pure mathematics; Algebra over a field; Lie algebra; Affine Lie algebra; Current algebra; Medicine","score_opus":0.0609854671957297,"score_gpt":0.2895312013947793,"score_spread":0.22854573419904958,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050437086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840568,0.00007525466,0.012464388,0.00029814974,0.0008038979,0.000087793735,0.0000070795527,0.000016167687,0.0021905],"genre_scores_gemma":[0.997087,0.000109377695,0.0020364977,0.00001736689,0.0004555473,0.0000014040294,7.167222e-7,0.000014079614,0.00027802907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887496,0.000039803013,0.00051282224,0.00008106386,0.00034599658,0.00014535707],"domain_scores_gemma":[0.9981702,0.00016542965,0.0007101685,0.00018888724,0.0006943531,0.00007098553],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010214035,0.00013944758,0.00045709996,0.00004397941,0.000097064054,0.000017971559,0.00022269686,0.00006416524,0.00014313613],"category_scores_gemma":[0.0001657413,0.00011193479,0.0001747883,0.00012758936,0.00016859705,0.0004414502,0.000034292672,0.00024264966,0.0000019699062],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008104532,0.00012620667,0.00019080534,0.000028554103,0.00011556242,0.000011432137,0.0010675576,0.0000116895135,0.004507226,0.99113667,0.000577495,0.0021457751],"study_design_scores_gemma":[0.0005150887,0.0002777549,0.00073235243,0.000054911725,0.00006295005,0.0001425971,0.0003705056,0.000007773585,0.081102505,0.9162815,0.00034222633,0.00010979169],"about_ca_topic_score_codex":0.000009336304,"about_ca_topic_score_gemma":0.000004086156,"teacher_disagreement_score":0.07659528,"about_ca_system_score_codex":0.000021228394,"about_ca_system_score_gemma":0.00026669813,"threshold_uncertainty_score":0.4564568},"labels":[],"label_agreement":null},{"id":"W2051765033","doi":"10.1016/j.jalgebra.2009.06.014","title":"Nonhomogeneous subalgebras of Lie and special Jordan superalgebras","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Universidade de São Paulo; University of Saskatchewan","keywords":"Mathematics; Lie superalgebra; Hermite polynomials; Representation theory; Mathematical proof; Pure mathematics; Algebra over a field; Superalgebra; Degree (music); Affine Lie algebra; Current algebra","score_opus":0.017111085694561236,"score_gpt":0.26857058737994244,"score_spread":0.2514595016853812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051765033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.996435,0.0007000895,0.00015230455,0.00053538475,0.0009951739,0.00013287466,0.000003410812,0.000015536834,0.0010302673],"genre_scores_gemma":[0.9946549,0.00014699744,0.0023554133,0.00019419317,0.0025418908,5.309489e-7,6.5152415e-7,0.000027073314,0.000078346544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977821,0.00008111851,0.0010144132,0.00018998879,0.0006157311,0.00031666138],"domain_scores_gemma":[0.9982213,0.0002445204,0.000701579,0.00029043047,0.00031481587,0.00022734869],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004222756,0.00026832047,0.000751559,0.00021612488,0.00008739751,0.00005490905,0.00038372856,0.00017281718,0.00028509673],"category_scores_gemma":[0.000342046,0.00021596147,0.0002816053,0.00022178942,0.000109724875,0.0002474136,0.000056126155,0.0003524055,0.0000028470695],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020244492,0.00016974036,0.00058840256,0.000037484308,0.0001135309,0.00008241884,0.00077419344,7.944121e-7,0.0016276982,0.98713773,0.0029953294,0.0062702484],"study_design_scores_gemma":[0.0012247332,0.0009849827,0.003586411,0.00007804218,0.00012809868,0.0005762859,0.00012770254,0.0000038038015,0.0067710807,0.9858243,0.00047746103,0.00021709841],"about_ca_topic_score_codex":0.0000036011475,"about_ca_topic_score_gemma":0.0000037075613,"teacher_disagreement_score":0.00605315,"about_ca_system_score_codex":0.000050361796,"about_ca_system_score_gemma":0.00014026776,"threshold_uncertainty_score":0.8806653},"labels":[],"label_agreement":null},{"id":"W2051851961","doi":"10.1142/s0219498804000691","title":"ENDOMORPHISM ALGEBRAS OF PROJECTIVE MODULES OVER LAURA ALGEBRAS","year":2004,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Endomorphism; Idempotence; Pure mathematics; Projective test; Algebra over a field; Finitely-generated abelian group; Endomorphism ring","score_opus":0.021937853226351677,"score_gpt":0.28747704390587764,"score_spread":0.26553919067952597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051851961","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9878941,0.0013957571,0.0089117475,0.00047428635,0.00017773526,0.00056304527,0.00001586163,0.000024320652,0.00054315076],"genre_scores_gemma":[0.9950462,0.00031724377,0.004115093,0.00008002239,0.00032548595,0.000038084847,0.0000018572454,0.000031610216,0.000044411372],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983244,0.000039177143,0.00078721024,0.00020714541,0.00042197728,0.00022010246],"domain_scores_gemma":[0.9980134,0.00026169958,0.0008531226,0.00026992348,0.00044654083,0.00015534171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026045964,0.00021929036,0.0005063934,0.0001917216,0.0001381196,0.000035465026,0.00031089142,0.00013986489,0.00006228829],"category_scores_gemma":[0.00016766439,0.00017405373,0.00018883585,0.00030866882,0.00011112741,0.00028716124,0.00007635509,0.00029347232,0.0000034414056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000433643,0.00020596538,0.0000705563,0.0000631312,0.00016068116,0.0000031421555,0.0007168297,0.000014774862,0.0035013617,0.9938142,0.00027097468,0.0011350194],"study_design_scores_gemma":[0.0016259555,0.00023057753,0.0015187474,0.00008148712,0.00015750171,0.00013879438,0.00025232267,0.000018512726,0.011339781,0.9836325,0.00082205835,0.00018176215],"about_ca_topic_score_codex":0.000011990941,"about_ca_topic_score_gemma":0.0000038419917,"teacher_disagreement_score":0.0101817,"about_ca_system_score_codex":0.00006836709,"about_ca_system_score_gemma":0.00016637695,"threshold_uncertainty_score":0.7097705},"labels":[],"label_agreement":null},{"id":"W205247589","doi":"10.1016/j.jalgebra.2018.10.007","title":"Cosets of affine vertex algebras inside larger structures","year":2018,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Combinatorics; Bilinear form; Vertex (graph theory); Coset; Vertex operator algebra; Algebra homomorphism; Homomorphism; Lie algebra; Invariant (physics); Discrete mathematics; Algebra over a field; Current algebra; Pure mathematics; Graph; Mathematical physics; Jordan algebra","score_opus":0.028687510212475408,"score_gpt":0.3047350576431088,"score_spread":0.2760475474306334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W205247589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99506265,0.0003282128,0.00053947594,0.0002595767,0.0022224877,0.000114921655,0.0000068362237,0.000020172569,0.0014456876],"genre_scores_gemma":[0.99479014,0.000026719077,0.0037399202,0.00021303329,0.0010785196,8.483898e-7,8.8404306e-7,0.000039938594,0.00010998771],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99780333,0.00009009302,0.0009554824,0.00016536699,0.0006849561,0.00030078634],"domain_scores_gemma":[0.9974786,0.0003131028,0.0009899875,0.0003843734,0.0006725164,0.00016140348],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042761295,0.00023906177,0.0006560633,0.00020433788,0.00008966835,0.000036616835,0.0004967422,0.0001776531,0.0010107964],"category_scores_gemma":[0.00070302206,0.00017534236,0.0002822184,0.0002538322,0.0001848927,0.00023084442,0.00010885109,0.00033320667,0.000007309724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028262858,0.00013988797,0.0006317537,0.00007032716,0.00036076552,0.000033029264,0.0010358928,0.0000027861456,0.0041732704,0.9673312,0.022825735,0.00311275],"study_design_scores_gemma":[0.0012468309,0.00061185943,0.0034334292,0.000088117384,0.000121657285,0.00016779886,0.00011335106,0.00001921535,0.028018108,0.96399486,0.0020028995,0.00018185523],"about_ca_topic_score_codex":0.0000102548975,"about_ca_topic_score_gemma":0.000009159133,"teacher_disagreement_score":0.023844838,"about_ca_system_score_codex":0.000053783595,"about_ca_system_score_gemma":0.00017292192,"threshold_uncertainty_score":0.9999024},"labels":[],"label_agreement":null},{"id":"W2053504112","doi":"10.1016/j.jalgebra.2005.11.027","title":"Crystals and monomial bases for Demazure modules","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Monomial; Mathematics; Pure mathematics; Crystal (programming language); Combinatorics; Algebra over a field; Computer science","score_opus":0.028909383391766144,"score_gpt":0.2960486962452544,"score_spread":0.26713931285348824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053504112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99139535,0.00060680654,0.006130549,0.0012074668,0.000376988,0.00013740393,0.000004739219,0.000011700452,0.00012900309],"genre_scores_gemma":[0.9713852,0.000047329355,0.026783746,0.0001801154,0.0014792708,0.0000031926577,3.1630353e-7,0.000020555637,0.0001002783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991184,0.000024173989,0.0004292948,0.00009574603,0.0001718473,0.00016054203],"domain_scores_gemma":[0.998949,0.00035284224,0.000338765,0.00011469941,0.00013927708,0.000105424624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002701284,0.00012360695,0.00031928433,0.00007011634,0.00007365987,0.000049065784,0.00014056468,0.00008490469,0.000049261955],"category_scores_gemma":[0.00029524136,0.00009337012,0.00014701314,0.000037108664,0.000032576012,0.00021870245,0.00003129564,0.000119146076,6.810947e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002908462,0.00010672782,0.00016311779,0.00009031599,0.00019274687,0.0000067363276,0.0005529114,0.000078708734,0.0008429277,0.9531133,0.025165023,0.019396603],"study_design_scores_gemma":[0.0012524343,0.00023155761,0.00020820253,0.000044257176,0.000089668945,0.00010737618,0.0000990863,0.0003982555,0.002123596,0.9855206,0.009799473,0.00012548642],"about_ca_topic_score_codex":0.0000011613344,"about_ca_topic_score_gemma":0.0000026410116,"teacher_disagreement_score":0.032407273,"about_ca_system_score_codex":0.000033131953,"about_ca_system_score_gemma":0.000044315355,"threshold_uncertainty_score":0.3807523},"labels":[],"label_agreement":null},{"id":"W2054221026","doi":"10.4153/cjm-2014-010-1","title":"Twisted Vertex Operators and Unitary Lie Algebras","year":2014,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Simons Foundation; National Science Foundation","keywords":"Unitary state; Affine Lie algebra; Vertex (graph theory); Lie algebra; (g,K)-module; Fundamental representation; Lie conformal algebra; Extension (predicate logic); Representation theory; Skew","score_opus":0.021806432657554484,"score_gpt":0.24061199525356983,"score_spread":0.21880556259601536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054221026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99544984,0.00027743826,0.0015085844,0.0003752603,0.00072135945,0.000100669466,0.0000034844963,0.000011372296,0.001551975],"genre_scores_gemma":[0.99015003,0.000010846049,0.009265921,0.000244745,0.00018649342,0.0000010622814,6.300955e-7,0.000037459,0.000102838254],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988128,0.000062350155,0.0005223752,0.00010320876,0.00021926177,0.00028000117],"domain_scores_gemma":[0.9981487,0.00037472948,0.00035919933,0.00026042084,0.00021038695,0.000646559],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050427014,0.00018095401,0.00041213998,0.00019060496,0.00013996354,0.00008654148,0.00029602656,0.00011653114,0.000108710294],"category_scores_gemma":[0.0013503219,0.00014728968,0.00008716749,0.00013681628,0.0001038855,0.00011885324,0.000021523492,0.00025476055,0.000006148749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000028597249,0.000020039417,0.00030640242,0.00011421247,0.00007730137,0.00003114551,0.0015828583,0.0000061696373,0.000022878463,0.9914915,0.0055781975,0.00076641067],"study_design_scores_gemma":[0.00051524694,0.00013585995,0.0002005028,0.00016340717,0.00009265634,0.0003123064,0.0006813114,0.0004991068,0.00013234689,0.99376476,0.0033166464,0.00018584153],"about_ca_topic_score_codex":0.00022314797,"about_ca_topic_score_gemma":0.0010942225,"teacher_disagreement_score":0.0077573364,"about_ca_system_score_codex":0.000072924166,"about_ca_system_score_gemma":0.00039771618,"threshold_uncertainty_score":0.60062987},"labels":[],"label_agreement":null},{"id":"W2054414248","doi":"10.1016/s0021-8693(03)00037-1","title":"PI Hopf algebras of prime characteristic","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Hopf algebra; Prime (order theory); Quantum group; Universal enveloping algebra; Pure mathematics; Polynomial; Algebra over a field; Identity (music); Group (periodic table); Representation theory of Hopf algebras; Division algebra; Algebra representation; Combinatorics; Mathematical analysis","score_opus":0.02528200443374479,"score_gpt":0.2806365975942132,"score_spread":0.25535459316046843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054414248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9950711,0.00031550747,0.0015920184,0.00010106985,0.0013439376,0.00011027792,0.0000021300286,0.000013410996,0.0014505155],"genre_scores_gemma":[0.9958909,0.000039113296,0.0035079562,0.00007020342,0.00028181236,0.0000012692783,3.995089e-7,0.000032990873,0.00017534092],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804467,0.00012289466,0.00093514036,0.00012743603,0.0005210931,0.00024877943],"domain_scores_gemma":[0.9977852,0.00029988182,0.0011237775,0.0003117415,0.00033133326,0.00014808499],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005734708,0.00019458066,0.0006071628,0.00014928651,0.000060500726,0.000028042503,0.00032038652,0.0001278386,0.00045790154],"category_scores_gemma":[0.00096384255,0.00015206535,0.00028427053,0.00019177685,0.00006715816,0.00018188148,0.000034153505,0.00030902564,0.00000783539],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007432936,0.00017974488,0.0006949123,0.00007323038,0.00019160585,0.00003068522,0.0005017186,0.0000013429107,0.003432302,0.9928829,0.0011177196,0.0008194972],"study_design_scores_gemma":[0.00096143456,0.00033769032,0.0017072223,0.00010252854,0.00013157015,0.00024751603,0.0001016995,0.00000533572,0.01792895,0.9769677,0.0013351466,0.0001732271],"about_ca_topic_score_codex":0.0000023361351,"about_ca_topic_score_gemma":4.5254086e-7,"teacher_disagreement_score":0.015915234,"about_ca_system_score_codex":0.000051936997,"about_ca_system_score_gemma":0.00018856663,"threshold_uncertainty_score":0.6201045},"labels":[],"label_agreement":null},{"id":"W2054746898","doi":"10.1016/s0024-3795(01)00433-5","title":"On spectral radii of Coxeter transformations","year":2003,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Coxeter group; Mathematics; Spectral radius; Upper and lower bounds; Combinatorics; Adjacency matrix; Degree (music); Eigenvalues and eigenvectors; Graph; Mathematical analysis; Physics","score_opus":0.02095063445123309,"score_gpt":0.27883068261202154,"score_spread":0.25788004816078847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054746898","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91869146,0.0003339634,0.042511657,0.00044216187,0.0001594343,0.0011732823,0.00004778965,0.00010584771,0.036534406],"genre_scores_gemma":[0.9975236,0.000043019118,0.0019529593,0.0000751333,0.000051447012,0.00007896288,0.000005693287,0.000014012804,0.00025516152],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935883,0.000021643227,0.00023744682,0.00013749725,0.000118212025,0.0001263382],"domain_scores_gemma":[0.99945134,0.00016663606,0.00006565233,0.00020265947,0.0000474072,0.00006628786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007066024,0.00010353477,0.00015270454,0.000047646492,0.00010932064,0.000010311835,0.00008396659,0.00006365985,0.00014538],"category_scores_gemma":[0.000046460824,0.00008824462,0.00005707363,0.00014158474,0.000032317916,0.00005697444,0.0000067400206,0.0000973548,0.000018119217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004148719,0.00006131252,0.000006536035,0.000026864458,0.000016517273,6.9044624e-8,0.00017577632,0.000004510279,0.00021259155,0.9990256,0.00018406718,0.0002820254],"study_design_scores_gemma":[0.00037459974,0.000057462967,0.000044808843,0.00000876503,0.000032405507,0.000004840482,0.000035041878,0.00023746677,0.0076987064,0.9834676,0.007934322,0.00010401935],"about_ca_topic_score_codex":0.0000011415335,"about_ca_topic_score_gemma":9.3696804e-7,"teacher_disagreement_score":0.07883215,"about_ca_system_score_codex":0.000008559387,"about_ca_system_score_gemma":0.000028750863,"threshold_uncertainty_score":0.3598511},"labels":[],"label_agreement":null},{"id":"W2055802201","doi":"10.1023/b:tamp.0000007916.13779.17","title":"Scalar Products of Symmetric Functions and Matrix Integrals","year":2003,"lang":"en","type":"article","venue":"Theoretical and Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Scalar (mathematics); Pure mathematics; Symmetric function; Hypergeometric function; Symmetric bilinear form; Fock space; Bilinear form; Physics","score_opus":0.016611555670562956,"score_gpt":0.2709831002230807,"score_spread":0.25437154455251776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055802201","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95579076,0.00022924303,0.021315923,0.00025510654,0.00014835832,0.0004204066,0.000007859595,0.00007222978,0.021760134],"genre_scores_gemma":[0.9924322,0.000021613903,0.007235245,0.000017818924,0.000064635264,0.000012008191,8.4809795e-7,0.000023546267,0.00019213429],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885416,0.00008896457,0.00033578114,0.00024983153,0.00023997122,0.00023131934],"domain_scores_gemma":[0.99859196,0.0008023877,0.00008174963,0.0002899972,0.00010101962,0.00013289356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000291419,0.00019245292,0.0004451912,0.00003995852,0.00007481401,0.000025929512,0.000085233834,0.000095108204,0.000120199365],"category_scores_gemma":[0.0014604058,0.000132568,0.00006458772,0.00028009617,0.0006647548,0.00006320097,0.000073453295,0.0001734386,0.00000808262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014271226,0.00016300332,0.000009484405,0.0003533758,0.000033488814,8.098162e-7,0.00015845305,1.4976489e-7,0.00015799676,0.99802506,0.000073720665,0.0010101998],"study_design_scores_gemma":[0.00031848528,0.00011081612,0.0000075474136,0.000059350576,0.0001232862,0.000026351143,0.00023558122,0.00017989312,0.0032208778,0.9955378,0.000027149104,0.00015287027],"about_ca_topic_score_codex":5.4123734e-7,"about_ca_topic_score_gemma":3.7058356e-8,"teacher_disagreement_score":0.03664141,"about_ca_system_score_codex":0.000008604672,"about_ca_system_score_gemma":0.00002114985,"threshold_uncertainty_score":0.54059666},"labels":[],"label_agreement":null},{"id":"W2055927760","doi":"10.1007/s00023-008-0387-3","title":"A Functional Integral Representation for Many Boson Systems I: The Partition Function","year":2008,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Representation (politics); Boson; Partition (number theory); Mathematics; Partition function (quantum field theory); Computer science; Physics; Particle physics; Combinatorics; Quantum mechanics","score_opus":0.09906054200843288,"score_gpt":0.30530537780516376,"score_spread":0.20624483579673086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055927760","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9257014,0.00055616733,0.067955576,0.0008557378,0.0027920336,0.00091962056,0.00001566226,0.00016703417,0.0010367947],"genre_scores_gemma":[0.99664843,0.000037258014,0.00017545499,0.00014739901,0.0011227475,0.00027555457,0.000061334984,0.00002696392,0.0015048336],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875623,0.00009308624,0.00032491767,0.0002585928,0.0003328272,0.00023432016],"domain_scores_gemma":[0.9989816,0.00027423407,0.00016772262,0.00031265497,0.00021052141,0.000053286694],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022850148,0.00016063573,0.0001927894,0.000052827527,0.00046700248,0.000048714257,0.00011889799,0.00010367805,0.00004826657],"category_scores_gemma":[0.00016074834,0.00011217061,0.00018208764,0.00013882843,0.00007530833,0.00019011677,0.000030094541,0.0001393296,0.000023468221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003842036,0.000053622247,0.0006950117,0.000056766883,0.000073755655,0.0000023803445,0.0005528295,0.00013085917,0.0001420225,0.9262593,0.07118924,0.00046002338],"study_design_scores_gemma":[0.000942723,0.0003067533,0.005343155,0.00003852507,0.00010531485,0.00010238874,0.00082366564,0.003914092,0.00039611018,0.97519225,0.012606764,0.00022824448],"about_ca_topic_score_codex":0.00006767925,"about_ca_topic_score_gemma":0.000009037771,"teacher_disagreement_score":0.07094708,"about_ca_system_score_codex":0.000053087093,"about_ca_system_score_gemma":0.000050437364,"threshold_uncertainty_score":0.45741847},"labels":[],"label_agreement":null},{"id":"W2056243131","doi":"10.1007/s00209-011-0935-2","title":"Twisted affine Lie superalgebra of type Q and quantization of its enveloping superalgebra","year":2011,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Lie superalgebra; Pure mathematics; Supermatrix; Affine transformation; Superalgebra; Affine representation; Functor; Algebra over a field; Affine Lie algebra; Current algebra","score_opus":0.08820880166477946,"score_gpt":0.28805280954752915,"score_spread":0.1998440078827497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056243131","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9907983,0.00067863107,0.0017243234,0.000044624743,0.00027542823,0.00041382987,0.000009458825,0.000084717925,0.0059706992],"genre_scores_gemma":[0.98319805,0.00011316889,0.016336966,0.000022555567,0.000056382487,0.000011198523,0.000008130362,0.000056636156,0.00019692033],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982171,0.00008009636,0.00078307145,0.00030249232,0.00034268532,0.00027455002],"domain_scores_gemma":[0.99852157,0.0002204668,0.00033465348,0.0004466062,0.00038639625,0.00009028234],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00033698214,0.00028331886,0.0006616888,0.00015151013,0.0000686653,0.00001701992,0.00028172188,0.00020431654,0.0009985222],"category_scores_gemma":[0.00066948385,0.00024096633,0.00008646184,0.00042888272,0.00010821482,0.00023667948,0.00016476879,0.00015781289,0.000010633079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048697155,0.000117906064,0.0007309322,0.0008547579,0.00009759621,0.0000019837742,0.0041799084,4.7425098e-7,0.008031455,0.98547196,0.0001301694,0.00033412798],"study_design_scores_gemma":[0.0018054255,0.0004895638,0.004242114,0.00083577755,0.00026277133,0.000050007253,0.0005663077,0.0005536509,0.23481192,0.75517863,0.0004912286,0.00071258296],"about_ca_topic_score_codex":0.00003474326,"about_ca_topic_score_gemma":0.0000052900114,"teacher_disagreement_score":0.23029335,"about_ca_system_score_codex":0.000003760832,"about_ca_system_score_gemma":0.00007207878,"threshold_uncertainty_score":0.9999147},"labels":[],"label_agreement":null},{"id":"W2056599856","doi":"10.1016/j.jpaa.2008.01.006","title":"Identifications in modular group algebras","year":2008,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Group (periodic table); Quotient; Group algebra; Ideal (ethics); Algebra over a field; Group ring; Lie algebra; Symmetric algebra; Universal enveloping algebra; Combinatorics; Field (mathematics); Pure mathematics; Cellular algebra; Algebra representation","score_opus":0.026120786073317828,"score_gpt":0.26043964621497623,"score_spread":0.2343188601416584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056599856","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9969218,0.00036633576,0.0014248835,0.00027611264,0.00026273748,0.00012836463,0.000001006484,0.000013185672,0.0006055751],"genre_scores_gemma":[0.99720323,0.00015406661,0.002142725,0.000121294695,0.00029079462,0.000006376612,9.654806e-7,0.000019581566,0.000060989976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878156,0.00002744563,0.0005523495,0.00014744837,0.00030629482,0.00018492335],"domain_scores_gemma":[0.99921554,0.00011718491,0.0003099319,0.00016937335,0.00008171259,0.00010626644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002681897,0.00014562858,0.00034818816,0.00015811762,0.00011207658,0.000030336174,0.00020875616,0.000108766995,0.00004532134],"category_scores_gemma":[0.00007216241,0.000118449505,0.0000917273,0.00020680706,0.00006918331,0.00014055787,0.000044554556,0.00030297847,0.0000035854328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029658551,0.00010279142,0.00042138438,0.000023630048,0.000040825442,0.00003102472,0.00084092724,0.000005695018,0.0018234813,0.9949659,0.0012726749,0.00044196934],"study_design_scores_gemma":[0.00085963064,0.00004744369,0.0064824973,0.000024856754,0.00003309215,0.00020473244,0.0002264401,0.000011629571,0.00083533366,0.9908601,0.0002807235,0.000133505],"about_ca_topic_score_codex":0.000003258816,"about_ca_topic_score_gemma":0.0000051541906,"teacher_disagreement_score":0.006061113,"about_ca_system_score_codex":0.000028387587,"about_ca_system_score_gemma":0.00004046629,"threshold_uncertainty_score":0.48302305},"labels":[],"label_agreement":null},{"id":"W2057108183","doi":"10.1017/s0024611505015583","title":"CLASSICAL LIE SUPERALGEBRAS OVER SIMPLE ASSOCIATIVE ALGEBRAS","year":2006,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Lie conformal algebra; Non-associative algebra; Associative property; Simple (philosophy); Pure mathematics; Universal enveloping algebra; Algebra over a field; Associative algebra; Algebra representation; Lie algebra; Cellular algebra","score_opus":0.015096938107394351,"score_gpt":0.25882618004205243,"score_spread":0.2437292419346581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057108183","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922215,0.000049056725,0.00025127782,0.0010979896,0.00016300811,0.0005404709,0.000011289649,0.00014572366,0.0055197296],"genre_scores_gemma":[0.9922952,0.0000056461768,0.0055849454,0.00023828786,0.00041131736,0.000045132743,0.0000018035308,0.00006731449,0.001350364],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972389,0.000015828155,0.00076846796,0.00040076484,0.0010054279,0.0005706541],"domain_scores_gemma":[0.99819565,0.00064893335,0.00048908324,0.00025618868,0.0003028047,0.00010736351],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005303598,0.00037547082,0.00070630223,0.000023059692,0.00028509749,0.000105449726,0.00074318296,0.00035164692,0.0003180813],"category_scores_gemma":[0.0007066283,0.00024472762,0.0009031633,0.0004131348,0.0003441156,0.00022978948,0.00042941744,0.00049869553,0.000013681216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013421641,0.00025482406,0.0024454244,0.00025830662,0.000109933266,1.4259825e-7,0.00063235936,2.8741863e-7,0.0023922783,0.95359105,0.040261775,0.00004022521],"study_design_scores_gemma":[0.0007547876,0.000047870155,0.0022175044,0.00008001121,0.00014740738,0.0000046933037,0.00027821414,0.00041242212,0.012184252,0.98319733,0.00039037273,0.0002851046],"about_ca_topic_score_codex":0.000019293779,"about_ca_topic_score_gemma":0.0000016242593,"teacher_disagreement_score":0.039871402,"about_ca_system_score_codex":0.00018715148,"about_ca_system_score_gemma":0.000048291724,"threshold_uncertainty_score":0.9979702},"labels":[],"label_agreement":null},{"id":"W2057305711","doi":"10.4153/cjm-2009-046-2","title":"The Face Semigroup Algebra of a Hyperplane Arrangement","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Hyperplane; Cellular algebra; Algebra over a field; Filtered algebra; Cohomology; Pure mathematics; Algebra representation; Combinatorics","score_opus":0.023114246203191968,"score_gpt":0.25670480047030964,"score_spread":0.23359055426711767,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057305711","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9902105,0.0012449991,0.00330049,0.001586502,0.000736892,0.00024100939,0.000008358143,0.000009115537,0.0026621337],"genre_scores_gemma":[0.99494225,0.000035584406,0.004543058,0.00009301315,0.00015862445,9.2542706e-7,3.5683274e-7,0.000015700105,0.00021046949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858826,0.00003613698,0.0006833658,0.000071301045,0.00033646764,0.00028444448],"domain_scores_gemma":[0.9982246,0.00036196847,0.00058716635,0.00032836746,0.00020072772,0.00029714117],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059104944,0.00014788957,0.00036036223,0.00009472458,0.00014859848,0.000052864616,0.0005060247,0.000077227276,0.00005098648],"category_scores_gemma":[0.0004950918,0.000095167605,0.00015663046,0.00013177593,0.000076822165,0.00006392892,0.000009548225,0.00021037833,0.000003032594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010416261,0.00005320268,0.000057195888,0.000072538925,0.00012270673,0.000036334466,0.00441822,0.000025739822,0.00014397115,0.98211175,0.0100247925,0.0029231273],"study_design_scores_gemma":[0.00037236084,0.00021192864,0.00012226231,0.00015310873,0.000085308944,0.0001726719,0.0022507557,0.00009146554,0.0006074316,0.9926852,0.0031287663,0.000118763135],"about_ca_topic_score_codex":0.000075833246,"about_ca_topic_score_gemma":0.00068918685,"teacher_disagreement_score":0.010573423,"about_ca_system_score_codex":0.000082941275,"about_ca_system_score_gemma":0.00036746814,"threshold_uncertainty_score":0.38808224},"labels":[],"label_agreement":null},{"id":"W2057333809","doi":"10.1007/s11856-009-0024-y","title":"Perverse sheaves on affine flags and langlands dual group","year":2009,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Langlands dual group; Mathematics; Pure mathematics; Langlands program; Generalized flag variety; Group (periodic table); Algebra over a field; Formal group; Algebraic group; Affine transformation; Algebraic number; Lie group; Mathematical analysis; Automorphic form","score_opus":0.0259829194944874,"score_gpt":0.2856429351700522,"score_spread":0.2596600156755648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057333809","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99646807,0.00016693273,0.0010497952,0.0005059715,0.00033453864,0.00009963428,0.0000024469982,0.000025831347,0.0013467983],"genre_scores_gemma":[0.9818482,0.000056268404,0.017165624,0.00020833574,0.00051216566,6.2740537e-7,5.528495e-7,0.000022021772,0.00018623204],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986566,0.00003715456,0.0005474972,0.00010864837,0.00045140283,0.00019874403],"domain_scores_gemma":[0.99888986,0.00031055423,0.0003472188,0.00021812586,0.00010566921,0.00012854405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045256832,0.00019657168,0.00044945712,0.000116469695,0.00007034309,0.000059956314,0.00017540503,0.000107254506,0.000039276958],"category_scores_gemma":[0.00031750227,0.00013838457,0.00013691752,0.000086091786,0.000037074362,0.00009764239,0.000029779578,0.00026474925,0.0000043394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007231796,0.0004145729,0.000050814666,0.000097781754,0.00007683608,0.00009352152,0.0021434603,0.000014295563,0.0003807211,0.991801,0.0016224558,0.0032322248],"study_design_scores_gemma":[0.0014615428,0.0010026188,0.00035063672,0.00023558781,0.00010648379,0.0005440921,0.0012035298,0.00027530218,0.0003590383,0.9939172,0.00035729932,0.00018661565],"about_ca_topic_score_codex":0.0000018761826,"about_ca_topic_score_gemma":0.0000026424443,"teacher_disagreement_score":0.016115827,"about_ca_system_score_codex":0.00003389255,"about_ca_system_score_gemma":0.000026958925,"threshold_uncertainty_score":0.56431586},"labels":[],"label_agreement":null},{"id":"W2057589930","doi":"10.1142/s0219498815501170","title":"Global crystal bases and q-Schur algebras","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Winnipeg","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Schur algebra; Mathematics; Schur's lemma; Basis (linear algebra); Invertible matrix; Schur decomposition; Schur complement; Schur's theorem; Triangular matrix; Schur product theorem; Pure mathematics; Algebra over a field; Combinatorics; Geometry; Physics; Eigenvalues and eigenvectors; Orthogonal polynomials","score_opus":0.015883901144183418,"score_gpt":0.27856590716453633,"score_spread":0.2626820060203529,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057589930","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9758823,0.0010692299,0.020441553,0.00079509115,0.00014238017,0.00020131507,0.000008176957,0.000023002944,0.0014369618],"genre_scores_gemma":[0.99726254,0.0001486806,0.0019254757,0.00017319396,0.00041338516,0.000009863095,7.796857e-7,0.000011478271,0.000054634205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990996,0.00003612601,0.00037359996,0.00013898702,0.00020619413,0.00014546615],"domain_scores_gemma":[0.99899083,0.00023491502,0.00028690192,0.00014759952,0.0001639463,0.00017582413],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021377712,0.00013127703,0.0002578863,0.000048104754,0.00015011785,0.00006427745,0.00014643597,0.000076795055,0.000038236987],"category_scores_gemma":[0.00016441877,0.000102941274,0.00006498976,0.00013112123,0.00005198455,0.00016197671,0.00005983513,0.00011435738,0.0000018422135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013770922,0.000041180017,0.00026162734,0.00003118656,0.00003741317,6.023959e-7,0.000059636557,0.0000012975881,0.000147285,0.9937331,0.0009763072,0.0046965973],"study_design_scores_gemma":[0.0005525537,0.00013120673,0.0017120122,0.00002327515,0.00008749035,0.00018012269,0.00007589374,0.00014366242,0.00013674302,0.98489857,0.011937019,0.00012146618],"about_ca_topic_score_codex":0.0000023180307,"about_ca_topic_score_gemma":0.0000024682408,"teacher_disagreement_score":0.021380221,"about_ca_system_score_codex":0.000019148034,"about_ca_system_score_gemma":0.00003942027,"threshold_uncertainty_score":0.41978234},"labels":[],"label_agreement":null},{"id":"W2057998637","doi":"10.1090/s0002-9947-2014-06245-4","title":"The partition algebra and the Kronecker coefficients","year":2014,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Banff International Research Station for Mathematical Innovation and Discovery; Agence Nationale de la Recherche; National Science Foundation","keywords":"Kronecker delta; Mathematics; Partition (number theory); Algebra over a field; Kronecker product; Duality (order theory); Context (archaeology); Pure mathematics; Combinatorics","score_opus":0.011589827974443622,"score_gpt":0.2587721038902161,"score_spread":0.24718227591577246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057998637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6018951,0.000045565084,0.39196664,0.004527001,0.00020681883,0.00050660316,0.000004349458,0.000042233187,0.00080567144],"genre_scores_gemma":[0.99683744,0.000040990268,0.0026012491,0.00020218195,0.000039422048,0.000039959345,1.5920385e-7,0.000016646842,0.00022196732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998766,0.00019921009,0.00032459048,0.00014239727,0.0003519871,0.00021580707],"domain_scores_gemma":[0.99697626,0.0021208734,0.00024719592,0.00055077876,0.000055588982,0.00004933567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007290047,0.00013634986,0.00029848283,0.000005496183,0.0006718907,0.000044613647,0.00037145277,0.000038142134,0.000039443996],"category_scores_gemma":[0.0002306292,0.000057213634,0.00035781082,0.00021539636,0.0020989797,0.000036609603,0.00003352818,0.00021768686,0.00000463296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004147728,0.00007490289,0.000011806557,0.000036556954,0.00012355353,1.2525324e-8,0.001626024,0.000039365652,0.000038693754,0.9927149,0.00037392325,0.0049187737],"study_design_scores_gemma":[0.0005637877,0.000040868967,0.0001575282,0.000022688011,0.0001657906,0.000004669067,0.0009929856,0.009432824,0.000272983,0.9878427,0.0004195706,0.00008360122],"about_ca_topic_score_codex":0.000022801412,"about_ca_topic_score_gemma":0.000003269918,"teacher_disagreement_score":0.3949423,"about_ca_system_score_codex":0.000022020467,"about_ca_system_score_gemma":0.00001669032,"threshold_uncertainty_score":0.77337784},"labels":[],"label_agreement":null},{"id":"W2058235860","doi":"10.4310/hha.2009.v11.n1.a8","title":"A homotopical algebra of graphs related to zeta series","year":2009,"lang":"en","type":"article","venue":"Homology Homotopy and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Collège Boréal","funders":"York University","keywords":"Morphism; Mathematics; Series (stratigraphy); Graph; Directed graph; Directed acyclic graph; Algebra over a field; Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.0125583409832641,"score_gpt":0.2891134617008398,"score_spread":0.2765551207175757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058235860","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9894162,0.00021994498,0.0040272903,0.0021006078,0.00008452283,0.0008015918,0.000010955474,0.000108423796,0.0032304565],"genre_scores_gemma":[0.99485,0.000039115854,0.0042665047,0.00020587805,0.000038174865,0.00014321704,0.0000058415,0.000010332298,0.0004409386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907535,0.00003761267,0.00032539203,0.00026797142,0.00009676239,0.00019692873],"domain_scores_gemma":[0.9992342,0.000105996594,0.00009093217,0.00039583293,0.000064544,0.00010849555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000089409405,0.00014029075,0.0002937505,0.00008720322,0.00013979772,0.000011668411,0.00019250614,0.00016780265,0.000057496076],"category_scores_gemma":[0.000044659453,0.00012749984,0.000070336486,0.00029401676,0.0001466488,0.000053866384,0.000051238112,0.00014131288,0.000007170488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016353255,0.000091089874,0.00027644835,0.0000126668765,0.000021269323,0.0000015771573,0.00023696541,6.3612737e-7,0.00054783,0.9927052,0.00022853975,0.0058614174],"study_design_scores_gemma":[0.00026479503,0.0002285975,0.0046259207,0.000008787097,0.000036918278,0.000071306866,0.00005698002,0.0000043806963,0.0011225748,0.99023294,0.0032183053,0.00012851825],"about_ca_topic_score_codex":0.0000057514717,"about_ca_topic_score_gemma":0.000003667984,"teacher_disagreement_score":0.005732899,"about_ca_system_score_codex":0.000008410557,"about_ca_system_score_gemma":0.000022951273,"threshold_uncertainty_score":0.51992923},"labels":[],"label_agreement":null},{"id":"W2058303538","doi":"10.1016/j.aim.2012.03.030","title":"Motivic Donaldson–Thomas invariants of the conifold and the refined topological vertex","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Isaac Newton Institute for Mathematical Sciences","keywords":"Conifold; Mathematics; Quiver; Vertex (graph theory); Pure mathematics; Formalism (music); Combinatorics; Mathematical physics; Gauge theory","score_opus":0.02353305689254082,"score_gpt":0.2943849228897368,"score_spread":0.27085186599719596,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058303538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97954106,0.003876662,0.0014647688,0.00075552217,0.0010573475,0.0006834931,0.0000047969393,0.000033531527,0.012582827],"genre_scores_gemma":[0.99436843,0.0002107871,0.0050301272,0.00010355555,0.00005835734,0.000024373629,2.3589435e-7,0.000014396098,0.00018975679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987843,0.00013443697,0.00042582685,0.00012201175,0.00027692536,0.00025649735],"domain_scores_gemma":[0.9974125,0.0018193541,0.0002634305,0.00043290708,0.000032726406,0.000039084938],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006866306,0.0001589797,0.0003879535,0.000022974547,0.00008772346,0.00001370917,0.00035682553,0.00009304736,0.000046722755],"category_scores_gemma":[0.0011684521,0.00007530041,0.0000787645,0.00016588277,0.0003949366,0.00016474065,0.00021020441,0.00019584148,0.0000017167254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022623275,0.00008617192,0.0012063908,0.00011403376,0.000014551713,3.447519e-7,0.0015926633,0.00000438779,0.00001541608,0.9965896,0.000040831557,0.00031299348],"study_design_scores_gemma":[0.00098626,0.000016988395,0.0012983407,0.00008665698,0.00003780845,0.000015934145,0.0005321407,0.00035853952,0.00023076638,0.9959636,0.00037655848,0.0000964285],"about_ca_topic_score_codex":0.0000050461713,"about_ca_topic_score_gemma":0.000010788934,"teacher_disagreement_score":0.01482736,"about_ca_system_score_codex":0.00002167921,"about_ca_system_score_gemma":0.000016138421,"threshold_uncertainty_score":0.30706617},"labels":[],"label_agreement":null},{"id":"W2058330045","doi":"10.2140/pjm.2007.232.61","title":"Vector fields, torus actions and equivariant cohomology","year":2007,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Mathematics; Cohomology; Pure mathematics; Holomorphic function; Zero (linguistics); Torus; Equivariant cohomology; Filtration (mathematics); Ring (chemistry); Graded ring; Equivariant map; Cohomology ring; Dimension (graph theory); Manifold (fluid mechanics); Algebra over a field; Geometry","score_opus":0.04969969288751912,"score_gpt":0.318773826365504,"score_spread":0.26907413347798487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058330045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82854676,0.0004648951,0.15893407,0.0005461246,0.0023822798,0.00020422717,0.0000032188634,0.000037034155,0.008881368],"genre_scores_gemma":[0.97378266,0.00005365277,0.025547791,0.000022301268,0.00035157273,8.498138e-7,2.0297136e-7,0.000019890238,0.00022108624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986777,0.000031905507,0.0006628088,0.000095826916,0.0002852549,0.0002465193],"domain_scores_gemma":[0.9980021,0.0009667859,0.0005127794,0.000215464,0.00016122089,0.00014163308],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009861056,0.00014505642,0.00039233058,0.000109507215,0.00009231443,0.000034756416,0.00016993804,0.00014647633,0.00010842996],"category_scores_gemma":[0.0005880958,0.00011050328,0.00010875802,0.000097288925,0.000068391375,0.00008835541,0.000047824054,0.00030674716,0.0000036691072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031637235,0.00016248539,0.00010372211,0.000104317514,0.00012967686,0.00006201347,0.003052486,0.0000025489107,0.00038731482,0.99358577,0.0014915859,0.0008864727],"study_design_scores_gemma":[0.00048467488,0.00018754796,0.000114847106,0.00006378863,0.000103167404,0.0012048241,0.00319843,0.000067667635,0.0006459005,0.9930003,0.00080136134,0.00012745021],"about_ca_topic_score_codex":0.0000026070395,"about_ca_topic_score_gemma":0.000003558124,"teacher_disagreement_score":0.14523587,"about_ca_system_score_codex":0.00004351973,"about_ca_system_score_gemma":0.000049909235,"threshold_uncertainty_score":0.4506193},"labels":[],"label_agreement":null},{"id":"W2058867019","doi":"10.4153/cjm-2009-048-6","title":"Infinitesimal Invariants in a Function Algebra","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Canadian Mathematical Society","keywords":"Mathematics; Algebraic group; Reductive group; Algebraically closed field; Infinitesimal; Invariant (physics); Pure mathematics; Algebra over a field; Lie algebra; Action (physics); Group (periodic table); Algebraic number; Group theory; Mathematical analysis","score_opus":0.03228671520338414,"score_gpt":0.25933494707451477,"score_spread":0.22704823187113063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058867019","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922985,0.00014706119,0.0030404627,0.00044103997,0.00056351384,0.00013865152,0.0000020806924,0.00000954616,0.003359144],"genre_scores_gemma":[0.9930251,0.000004206237,0.006438354,0.00026864573,0.00019170016,8.0888714e-7,4.3615276e-7,0.000016336504,0.000054383498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986724,0.00004214877,0.00066608813,0.00008823229,0.00023070403,0.00030040173],"domain_scores_gemma":[0.99876577,0.00018206393,0.00035570652,0.00020441694,0.0001473791,0.00034464986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054939155,0.00015025043,0.0003596259,0.00038155227,0.000060711267,0.000064113075,0.000270372,0.00012625367,0.00015641056],"category_scores_gemma":[0.0008324955,0.00013057455,0.000102251426,0.00027612233,0.000031034444,0.00018120298,0.0000066589573,0.00030658176,0.000007943147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001084151,0.000077338475,0.0006256774,0.000040728355,0.000031793563,0.00013415315,0.0023315018,0.000030116591,0.000043939835,0.99314487,0.0019928128,0.0015362405],"study_design_scores_gemma":[0.0006474837,0.0002259441,0.0025790764,0.00015553166,0.00003819571,0.00014721324,0.00045091985,0.00014680832,0.000051463292,0.9950497,0.00037319426,0.00013446728],"about_ca_topic_score_codex":0.00014167042,"about_ca_topic_score_gemma":0.0016690927,"teacher_disagreement_score":0.0033978913,"about_ca_system_score_codex":0.00013889771,"about_ca_system_score_gemma":0.0006376908,"threshold_uncertainty_score":0.5324676},"labels":[],"label_agreement":null},{"id":"W2058898720","doi":"10.1016/j.laa.2009.10.028","title":"The realization of hyperelliptic curves through endomorphisms of Kronecker modules","year":2009,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Endomorphism; Kronecker delta; Algebraically closed field; Endomorphism ring; Polynomial ring; Algebra over a field; Pure mathematics; Discriminant; Discrete mathematics; Affine variety; Hyperelliptic curve; Affine transformation; Polynomial; Mathematical analysis","score_opus":0.030092822159667115,"score_gpt":0.3000457770014271,"score_spread":0.26995295484175996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058898720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8431971,0.021341525,0.12327783,0.002499913,0.00024261737,0.002898623,0.00008157627,0.00012388559,0.0063369013],"genre_scores_gemma":[0.995197,0.0029522846,0.0015220047,0.00007370776,0.00007363221,0.000036430865,0.000011707535,0.000009959807,0.0001232458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992493,0.000025066198,0.00032918717,0.00013489132,0.00015755984,0.0001040238],"domain_scores_gemma":[0.9991066,0.00023732333,0.00019525147,0.00029724,0.0001353814,0.00002818887],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009712359,0.00009438953,0.00018594276,0.000016529968,0.00012674932,0.00000744763,0.00015164941,0.00005532144,0.000021147005],"category_scores_gemma":[0.00009071256,0.00006521651,0.00004826941,0.00015917326,0.000071359194,0.00006085678,0.000023613928,0.00006084102,0.000001903196],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064180654,0.00004727534,0.0000074280665,0.000054990887,0.000016236037,3.1690327e-8,0.00013962554,0.0000054826605,0.00088485115,0.996765,0.00024334552,0.0018292881],"study_design_scores_gemma":[0.00019765775,0.000054953834,0.00017998686,0.000046832225,0.000055096036,0.0000023295436,0.000046128687,0.00050883135,0.006299316,0.9903826,0.0021548653,0.00007136835],"about_ca_topic_score_codex":0.0000061254195,"about_ca_topic_score_gemma":0.0000014504669,"teacher_disagreement_score":0.15199989,"about_ca_system_score_codex":0.0000050339427,"about_ca_system_score_gemma":0.000017094218,"threshold_uncertainty_score":0.2659452},"labels":[],"label_agreement":null},{"id":"W2059473411","doi":"10.1016/j.jpaa.2008.12.004","title":"Bialgebra cohomology, pointed Hopf algebras, and deformations","year":2009,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Saint Mary's University","funders":"","keywords":"Bialgebra; Hopf algebra; Mathematics; Cohomology; Pure mathematics; Homomorphism; Surjective function; Algebra over a field","score_opus":0.014979078837428843,"score_gpt":0.259787267079434,"score_spread":0.24480818824200515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059473411","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9941389,0.0006585723,0.0014275142,0.0015805224,0.0002757474,0.0002010954,0.0000032096245,0.00003708014,0.0016773897],"genre_scores_gemma":[0.9959527,0.00014885371,0.002692843,0.0007402023,0.00039971713,0.0000026419214,0.0000021731419,0.00001836463,0.000042507432],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853766,0.00004014029,0.00066813786,0.00017789406,0.00029294554,0.00028320248],"domain_scores_gemma":[0.9987884,0.00018315343,0.0004994321,0.00018743779,0.00012275988,0.00021879395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037568933,0.00024595205,0.0005325819,0.00018285758,0.00021380234,0.00009801758,0.00019908445,0.00019408639,0.000058038746],"category_scores_gemma":[0.000105722145,0.00018584168,0.00010670103,0.0001817815,0.00010492992,0.00022578683,0.00005645944,0.00041448846,0.0000028923503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008226564,0.000070427435,0.00007298767,0.0000256182,0.00008270243,0.000011705485,0.0007009263,0.0000016966487,0.0007650703,0.98731804,0.0028678763,0.008000669],"study_design_scores_gemma":[0.0013578436,0.0002981413,0.0018982445,0.00004142616,0.00013289166,0.0005662846,0.00042785943,0.000017831862,0.00088998646,0.99360245,0.0005553388,0.00021167459],"about_ca_topic_score_codex":0.0000014782092,"about_ca_topic_score_gemma":0.0000023951698,"teacher_disagreement_score":0.0077889943,"about_ca_system_score_codex":0.000026644544,"about_ca_system_score_gemma":0.00005876784,"threshold_uncertainty_score":0.75784034},"labels":[],"label_agreement":null},{"id":"W2059480454","doi":"10.1016/j.jalgebra.2013.04.039","title":"New simple modules for the Heisenberg–Virasoro algebra","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"China Scholarship Council; Wilfrid Laurier University; National Science Foundation","keywords":"Mathematics; Simple module; Simple (philosophy); Verma module; Quotient; Pure mathematics; Algebra over a field; Simplicity; Virasoro algebra; Class (philosophy); Algebra representation; Cellular algebra; Lie algebra; Computer science; Physics","score_opus":0.02768658309144861,"score_gpt":0.28374766282750763,"score_spread":0.256061079736059,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059480454","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9006224,0.0016846176,0.08751354,0.00580541,0.0028056833,0.0009465125,0.0000052067353,0.000055765606,0.0005608292],"genre_scores_gemma":[0.9807082,0.00007345432,0.015517757,0.00048302638,0.0022929325,0.000018960933,9.148717e-7,0.000060749862,0.00084402395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982017,0.000050826282,0.00073961454,0.00016013763,0.00048033253,0.00036734782],"domain_scores_gemma":[0.99706656,0.0012916045,0.0006345528,0.0004232626,0.0003635668,0.00022043166],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037813958,0.00024155993,0.00045392662,0.00007931472,0.00020081374,0.00017369201,0.0006897663,0.00013385624,0.0007363152],"category_scores_gemma":[0.0005584302,0.00014224013,0.00043585474,0.00014321865,0.000050309438,0.00037891575,0.000085431966,0.0003105925,0.000022841898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006289014,0.000049209313,0.000093682895,0.00003332847,0.0003109997,0.000003094746,0.00041424492,0.000040195864,0.00030911164,0.78446734,0.1920641,0.022151764],"study_design_scores_gemma":[0.0011130628,0.00023450932,0.00095218717,0.000028788527,0.00014593783,0.00006727254,0.00024689274,0.00034504035,0.0009879012,0.9846933,0.011006061,0.00017903486],"about_ca_topic_score_codex":0.000078267876,"about_ca_topic_score_gemma":0.000009079312,"teacher_disagreement_score":0.20022595,"about_ca_system_score_codex":0.00005777584,"about_ca_system_score_gemma":0.00014670048,"threshold_uncertainty_score":0.8062135},"labels":[],"label_agreement":null},{"id":"W2060831023","doi":"10.1016/j.jalgebra.2008.07.009","title":"On the quiver of the descent algebra","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Quiver; Mathematics; Descent (aeronautics); Coxeter group; Algebra over a field; Filtered algebra; Cellular algebra; Pure mathematics; Algebra representation; Physics","score_opus":0.04284434341195509,"score_gpt":0.26022654486144847,"score_spread":0.21738220144949338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060831023","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99587584,0.00014227597,0.00017106626,0.0015425156,0.0011306552,0.00014233429,0.000001218802,0.000006751283,0.0009873594],"genre_scores_gemma":[0.998761,0.00004375326,0.00022875716,0.00045394304,0.00028946454,0.0000012658812,5.2941388e-8,0.000019746498,0.0002019943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998313,0.00013716139,0.0005537319,0.000090856025,0.00072035275,0.000184914],"domain_scores_gemma":[0.99794745,0.00061953656,0.00072222285,0.00042829494,0.00021668589,0.00006577756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037864372,0.00015164043,0.00030986656,0.00005146229,0.00018581479,0.000014243937,0.00067381264,0.000080784404,0.00025641723],"category_scores_gemma":[0.0005538379,0.00006839753,0.0003711953,0.00018341787,0.0001670629,0.0000787026,0.000092488284,0.00041561798,0.0000057699126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078446414,0.0001160614,0.00037127038,0.00001356088,0.00011628159,0.000012794808,0.0010134747,0.0000143831685,0.00024774016,0.9794096,0.018426074,0.0001803329],"study_design_scores_gemma":[0.0005556557,0.00019928438,0.00391074,0.00010353781,0.000061676685,0.00019546074,0.00012937578,0.000014059332,0.0069965622,0.9871905,0.0005516057,0.00009155555],"about_ca_topic_score_codex":0.0000052571063,"about_ca_topic_score_gemma":0.0000011567088,"teacher_disagreement_score":0.017874468,"about_ca_system_score_codex":0.000055904235,"about_ca_system_score_gemma":0.0001376695,"threshold_uncertainty_score":0.2807589},"labels":[],"label_agreement":null},{"id":"W2060904553","doi":"10.4153/cmb-2002-060-9","title":"A New Class of Representations of EALA Coordinated by Quantum Tori in Two Variables","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quotient; Torus; Pure mathematics; Affine transformation; Class (philosophy); Integrable system; Quantum; Lie algebra; Representation theory; Irreducible representation; Construct (python library); Root of unity; Algebra over a field; Geometry","score_opus":0.023519037289072505,"score_gpt":0.27565010467725004,"score_spread":0.25213106738817753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060904553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85343266,0.00078214705,0.015382823,0.012123779,0.0007673316,0.0019880133,0.0001997742,0.00013258275,0.11519092],"genre_scores_gemma":[0.9936863,0.000007043195,0.0033480811,0.00007358497,0.000041039,0.000016125032,0.0000048815764,0.000030503292,0.0027924494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984197,0.00008025891,0.0006817083,0.00022430086,0.00023819071,0.00035585655],"domain_scores_gemma":[0.9983109,0.00063733663,0.0001825974,0.00042480763,0.00008955449,0.000354751],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022174286,0.0001713264,0.00049888203,0.0001535353,0.00003803656,0.000016619479,0.00029271387,0.000117313815,0.013598732],"category_scores_gemma":[0.0010061163,0.0001639077,0.00008945214,0.0003319169,0.000081879436,0.00002730302,0.000033105243,0.00017021394,0.000108131106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000055533446,0.00006745394,0.00007329673,0.00011617309,0.000026038888,0.0000062423683,0.00046526073,0.0000071778386,0.00012699963,0.8943432,0.10463551,0.00012708816],"study_design_scores_gemma":[0.0008320303,0.000044212506,0.000021236792,0.0001488497,0.000034654546,0.0000072329963,0.00019325948,0.0014548519,0.0005066556,0.9923561,0.004232298,0.00016861517],"about_ca_topic_score_codex":0.011571277,"about_ca_topic_score_gemma":0.001242105,"teacher_disagreement_score":0.14025366,"about_ca_system_score_codex":0.00010708946,"about_ca_system_score_gemma":0.0001194915,"threshold_uncertainty_score":0.99501073},"labels":[],"label_agreement":null},{"id":"W2061404173","doi":"10.1016/j.jpaa.2012.12.010","title":"The classification of Wada-type representations of braid groups","year":2013,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Type (biology); Braid group; Braid; Pure mathematics; Homogeneous space; Conjecture; Representation (politics); Group (periodic table); Dynkin diagram; Algebra over a field; Combinatorics; Geometry","score_opus":0.02582140271591049,"score_gpt":0.28058367731206096,"score_spread":0.2547622745961505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061404173","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9968549,0.00024437177,0.00056890404,0.0005601925,0.00023081672,0.00016926246,8.076683e-7,0.0000041417097,0.0013665918],"genre_scores_gemma":[0.998963,0.00007346668,0.00070282735,0.000021468777,0.00015766112,0.000003969082,5.971968e-7,0.000009615013,0.00006740245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898857,0.000028434857,0.0005466654,0.00007345251,0.00026635505,0.00009654312],"domain_scores_gemma":[0.9984231,0.00036439643,0.000712105,0.00019451852,0.00025524548,0.000050629358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024148384,0.00008262797,0.00023494104,0.000044453485,0.00008135701,0.000027747077,0.00018435955,0.00006584446,0.000042714226],"category_scores_gemma":[0.00011011471,0.00004987858,0.000072694034,0.00013007609,0.00008870893,0.00009242708,0.00003462588,0.00014687673,0.0000012118599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003570003,0.000039421368,0.000131728,0.000030880223,0.00007090452,2.021932e-7,0.00046568832,0.0000022267316,0.027045961,0.9665664,0.0025017941,0.0031090933],"study_design_scores_gemma":[0.00037146138,0.000085671054,0.0068523902,0.000020077206,0.00005571617,0.000010824864,0.0011620971,0.000022445132,0.008407252,0.9827964,0.00016285163,0.000052858384],"about_ca_topic_score_codex":0.000004090336,"about_ca_topic_score_gemma":0.0000021254523,"teacher_disagreement_score":0.01863871,"about_ca_system_score_codex":0.000008523717,"about_ca_system_score_gemma":0.000041091454,"threshold_uncertainty_score":0.20339896},"labels":[],"label_agreement":null},{"id":"W2061521610","doi":"10.1090/s0065-9266-2012-00652-6","title":"Infinite-Dimensional Representations of 2-Groups","year":2012,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Pure mathematics; Indecomposable module; Group (periodic table); Vector space; Representation theory; Hilbert space; Representation theory of the Lorentz group; Algebra over a field; Group representation; Representation (politics); Representation theory of SU; Lie group; Irreducible representation; Separable space; Fundamental representation; Lie algebra; Mathematical analysis; Weight; Law","score_opus":0.027164625949077446,"score_gpt":0.30862450434070904,"score_spread":0.2814598783916316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061521610","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99516535,0.00007055225,0.0016119352,0.0008913924,0.0002695234,0.0002136699,0.000009127433,0.000028687113,0.001739747],"genre_scores_gemma":[0.9681462,0.000005113496,0.031311773,0.00014757183,0.00010912449,0.000012014808,7.073395e-7,0.00002133935,0.00024613008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852586,0.00009227867,0.00047426193,0.0001207412,0.00051281485,0.00027405168],"domain_scores_gemma":[0.9975985,0.0010779435,0.00054705946,0.0005888454,0.00009720009,0.00009044201],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043157718,0.00014078103,0.0004563107,0.000015348221,0.00008434427,0.000005320352,0.00034597085,0.000052279716,0.00016227052],"category_scores_gemma":[0.00063601974,0.000091287475,0.0005002287,0.0003566135,0.00074742676,0.00008354634,0.00024014137,0.00015956679,0.00000432782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015161955,0.0003801164,0.001411477,0.00017344969,0.0001776553,6.1235546e-8,0.0028062086,0.000018103497,0.0014195162,0.98405516,0.009360651,0.00018246517],"study_design_scores_gemma":[0.00020757546,0.000034994817,0.0018003983,0.000050747687,0.000107148386,0.000006683929,0.001060669,0.0002543283,0.003999279,0.9922611,0.00010373905,0.00011329913],"about_ca_topic_score_codex":0.000026090998,"about_ca_topic_score_gemma":3.3003073e-7,"teacher_disagreement_score":0.029699838,"about_ca_system_score_codex":0.000030866267,"about_ca_system_score_gemma":0.000033505665,"threshold_uncertainty_score":0.3722595},"labels":[],"label_agreement":null},{"id":"W2061614155","doi":"10.1007/s10801-011-0303-7","title":"A basis for the symplectic group branching algebra","year":2011,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Monomial; Symplectic geometry; Combinatorics; Monomial basis; Irreducible representation; Basis (linear algebra); Symplectic representation; Scalar (mathematics); Symplectic group; Representation theory; Pure mathematics; Algebra over a field; Moment map; Geometry","score_opus":0.0668727803777829,"score_gpt":0.2860132226348441,"score_spread":0.2191404422570612,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061614155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9103213,0.002859481,0.070762895,0.00084376667,0.01227988,0.0011559225,0.000006559595,0.0001227374,0.0016474588],"genre_scores_gemma":[0.9961863,0.00010287647,0.0027129818,0.00021836444,0.00056480017,0.000028869092,4.119571e-7,0.000080673126,0.00010468105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973239,0.00013283023,0.0010754678,0.00025161763,0.0007022615,0.0005139224],"domain_scores_gemma":[0.9948383,0.0027597928,0.0010813877,0.00057196466,0.00054296205,0.00020557463],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014772845,0.00035365953,0.00066166645,0.00020883324,0.00043467182,0.00009860116,0.0010708732,0.00019089499,0.00014867546],"category_scores_gemma":[0.0018190369,0.00023447281,0.00063994725,0.0005308058,0.000104020226,0.0003516025,0.00013606387,0.00060678355,0.0000032882815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016593088,0.00025076643,0.00027586424,0.00008073681,0.00035992853,0.000013000129,0.0021358395,0.0000012870503,0.000049986906,0.9925677,0.0021934463,0.0019054952],"study_design_scores_gemma":[0.0016509544,0.0007667163,0.001255576,0.0000896781,0.00042756586,0.0001989007,0.0004409701,0.00010219674,0.0004199092,0.9930077,0.0013556525,0.00028418037],"about_ca_topic_score_codex":0.000017917386,"about_ca_topic_score_gemma":0.000006044556,"teacher_disagreement_score":0.08586504,"about_ca_system_score_codex":0.00018213435,"about_ca_system_score_gemma":0.00017525973,"threshold_uncertainty_score":0.9561524},"labels":[],"label_agreement":null},{"id":"W2061749046","doi":"10.1016/j.jalgebra.2006.03.008","title":"Deformed universal characters for classical and affine algebras","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Affine transformation; Pure mathematics; Algebra over a field","score_opus":0.016827372731828265,"score_gpt":0.26025869422676895,"score_spread":0.24343132149494068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061749046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99571455,0.00012330455,0.0018576952,0.0011645189,0.0006613186,0.00015347231,0.0000027610859,0.00001825234,0.00030415255],"genre_scores_gemma":[0.9952856,0.000014943963,0.0031932765,0.00008605858,0.0010376112,0.0000020350062,0.0000017865303,0.000026311542,0.00035241237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888486,0.000027039281,0.00046765016,0.00012229432,0.0002627384,0.00023544385],"domain_scores_gemma":[0.9988452,0.00034261635,0.00041536923,0.00011955236,0.0001672695,0.00010997483],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002363638,0.0001600858,0.0003726576,0.0001135965,0.000085119915,0.0000498433,0.00017071533,0.00011788545,0.00003652985],"category_scores_gemma":[0.00014318842,0.00012076052,0.0001827952,0.00008774436,0.00006951005,0.00023130685,0.000037603935,0.00019334388,9.769512e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021921021,0.000064165695,0.0003078264,0.000038122624,0.00007694536,0.000015220142,0.00010965952,0.0000019702936,0.0005769294,0.9925953,0.0047404813,0.0012541576],"study_design_scores_gemma":[0.00212135,0.0003312459,0.0033672082,0.000039394483,0.0001163247,0.00014630867,0.00009403736,0.00005644299,0.0010491752,0.98997027,0.0025535724,0.0001546834],"about_ca_topic_score_codex":0.000005113232,"about_ca_topic_score_gemma":0.0000056289223,"teacher_disagreement_score":0.0030593816,"about_ca_system_score_codex":0.00007191472,"about_ca_system_score_gemma":0.00008374559,"threshold_uncertainty_score":0.4924471},"labels":[],"label_agreement":null},{"id":"W2062120102","doi":"10.1016/j.jalgebra.2012.04.003","title":"Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Torus; Subalgebra; Lie algebra; Center (category theory); Pure mathematics; Algebra over a field; Lie conformal algebra; Quantum; Physics; Quantum mechanics; Geometry","score_opus":0.029373289548903583,"score_gpt":0.3288281661050937,"score_spread":0.29945487655619013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062120102","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98939145,0.0009463003,0.0050063594,0.0004852851,0.0020878722,0.00017492042,0.000018664681,0.000021201446,0.0018679703],"genre_scores_gemma":[0.9946906,0.00004596673,0.0038035049,0.00007090603,0.0008550871,0.000003626141,0.000007982806,0.000031544227,0.00049079483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976395,0.00014189302,0.0010199583,0.00012633186,0.00075587514,0.00031647104],"domain_scores_gemma":[0.9973604,0.0006741644,0.0010255446,0.00027423474,0.0004426896,0.00022297405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075480307,0.0002012509,0.0005347636,0.00014114587,0.00010860467,0.000041474774,0.0003502812,0.0001423624,0.00088257785],"category_scores_gemma":[0.00085627765,0.00016220752,0.00029359417,0.00019970105,0.00008633025,0.00063997245,0.000049430815,0.00034182818,0.000007689367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012221061,0.00031364005,0.0017280494,0.000035566914,0.00021598137,0.000002318781,0.0011928602,0.000003199273,0.004754951,0.9090087,0.08237379,0.0002487667],"study_design_scores_gemma":[0.001628621,0.00026437562,0.00087093376,0.00006128905,0.00013980536,0.000092227085,0.0010013401,0.000034303022,0.019877704,0.9727277,0.0030871097,0.0002145585],"about_ca_topic_score_codex":0.00002264307,"about_ca_topic_score_gemma":0.0000011724732,"teacher_disagreement_score":0.07928668,"about_ca_system_score_codex":0.0001068647,"about_ca_system_score_gemma":0.00016398192,"threshold_uncertainty_score":0.9663608},"labels":[],"label_agreement":null},{"id":"W2062731856","doi":"10.1007/s002200100546","title":"Calogero-Moser Systems and Hitchin Systems","year":2001,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; McGill University","funders":"","keywords":"Equivariant map; Complex system; Higgs boson; Group (periodic table); Lie group","score_opus":0.1033517073125358,"score_gpt":0.3539101189407584,"score_spread":0.2505584116282226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062731856","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82996017,0.0048700958,0.1050653,0.0012024605,0.00097484,0.0026049702,0.000018985736,0.0005020637,0.054801147],"genre_scores_gemma":[0.99366766,0.00020483843,0.0055080233,0.00002637917,0.00010283764,0.00015235273,0.000005796397,0.000037956623,0.00029417203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984962,0.00021488275,0.0005603622,0.0002156911,0.00024677647,0.0002660929],"domain_scores_gemma":[0.99652773,0.0012566667,0.00015044582,0.001891324,0.00008150581,0.00009234268],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041098185,0.0002064348,0.00045497846,0.000049583236,0.0001730495,0.00011712744,0.0007550244,0.00013028417,0.000010075037],"category_scores_gemma":[0.0002674029,0.00017906289,0.0000582699,0.00028796372,0.00019928555,0.00013808826,0.0004113953,0.00035364024,0.000029181207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004011936,0.00019788429,0.00024350575,0.00014305637,0.000021869446,0.000001685542,0.000551955,0.00004421474,0.000015975635,0.9981135,0.0002080624,0.00045426053],"study_design_scores_gemma":[0.00032730185,0.000017090746,0.000063843196,0.00019338245,0.000030248237,0.000026940203,0.00044643166,0.034206506,0.000003914936,0.9638604,0.00063057797,0.00019339452],"about_ca_topic_score_codex":0.000044083266,"about_ca_topic_score_gemma":0.0000047095496,"teacher_disagreement_score":0.16370751,"about_ca_system_score_codex":0.00007648495,"about_ca_system_score_gemma":0.00002737952,"threshold_uncertainty_score":0.73019725},"labels":[],"label_agreement":null},{"id":"W2063446704","doi":"10.1142/s0219498808002928","title":"THE BOUND QUIVER OF A SPLIT EXTENSION","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo; Université de Sherbrooke","keywords":"Quiver; Extension (predicate logic); Mathematics; Compatibility (geochemistry); Ideal (ethics); Pure mathematics; Algebra over a field; Set (abstract data type); Computer science","score_opus":0.036722371508802844,"score_gpt":0.2897455879647435,"score_spread":0.2530232164559406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063446704","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.995802,0.0019858875,0.0011292455,0.0004598563,0.00010313317,0.00015716944,0.0000014121615,0.0000051737725,0.0003561557],"genre_scores_gemma":[0.99778044,0.0010458732,0.0007485243,0.000034532593,0.00017039372,0.0000064903397,1.8788711e-7,0.000008357572,0.0002052138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923545,0.000020461319,0.00037179253,0.00007012526,0.00020914535,0.00009303616],"domain_scores_gemma":[0.9988013,0.0003102185,0.0003739547,0.0001700073,0.0002824377,0.00006209235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017572615,0.00007147082,0.00017160151,0.00003493282,0.00027699012,0.000014045008,0.00016045327,0.000045313296,0.000015383068],"category_scores_gemma":[0.000093200106,0.000042976735,0.0000787243,0.0001046171,0.00008721457,0.00007992501,0.000036122972,0.000119918026,0.0000015757507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021195105,0.000041290394,0.000039373142,0.000012527615,0.00003558698,0.0000011804269,0.00029406586,7.544582e-7,0.0007848847,0.99604005,0.0013062045,0.0014229043],"study_design_scores_gemma":[0.0003243467,0.0000838203,0.0020916236,0.000018943592,0.000049477414,0.00020481975,0.00013636658,0.00004279414,0.0009873604,0.98729455,0.008705439,0.000060479688],"about_ca_topic_score_codex":0.0000017261891,"about_ca_topic_score_gemma":7.071186e-7,"teacher_disagreement_score":0.008745504,"about_ca_system_score_codex":0.000011503108,"about_ca_system_score_gemma":0.00005885016,"threshold_uncertainty_score":0.21304122},"labels":[],"label_agreement":null},{"id":"W2063971628","doi":"10.1090/s0002-9939-07-09058-2","title":"Groups which do not admit ghosts","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Cohomology; Suspension (topology); Group (periodic table); Ring (chemistry); Pure mathematics; Commutative ring; Commutative property; Combinatorics; Physics; Chemistry; Quantum mechanics","score_opus":0.018757324263661928,"score_gpt":0.28710111421572326,"score_spread":0.2683437899520613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063971628","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9896743,0.00001723028,0.0013840961,0.0007849997,0.00013403241,0.00036488025,0.000002701874,0.00010790243,0.007529805],"genre_scores_gemma":[0.97122926,0.000009185635,0.027938023,0.00038260873,0.00020861838,0.000014697693,1.6597284e-7,0.00004909284,0.00016837308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99770087,0.00000806123,0.0006219183,0.00032704198,0.00081980834,0.00052228157],"domain_scores_gemma":[0.99786246,0.000577051,0.00072960806,0.00029012287,0.00037835885,0.00016239074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010676683,0.0002783466,0.00062770094,0.000024632956,0.00020066788,0.000057504174,0.00082307647,0.00010757186,0.00007066854],"category_scores_gemma":[0.00112295,0.00017996939,0.00050199014,0.0007987058,0.00047874695,0.00011849864,0.0003928988,0.00037386955,0.000009854866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046568188,0.00014682068,0.0007774728,0.0002826396,0.00011204226,1.3365796e-7,0.0023603942,1.6091943e-7,0.0028658714,0.98980945,0.0027395524,0.00085888174],"study_design_scores_gemma":[0.00028277212,0.00009300663,0.0019430807,0.00010470469,0.00009893375,0.000013253552,0.0025810457,0.00009220402,0.010491786,0.9839132,0.00014940281,0.0002366068],"about_ca_topic_score_codex":0.000009181246,"about_ca_topic_score_gemma":6.2605244e-7,"teacher_disagreement_score":0.026553927,"about_ca_system_score_codex":0.00009369031,"about_ca_system_score_gemma":0.00003335006,"threshold_uncertainty_score":0.7338939},"labels":[],"label_agreement":null},{"id":"W2064349122","doi":"10.1016/j.aim.2009.03.002","title":"Finitely semisimple spherical categories and modular categories are self-dual","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Functor; Dual (grammatical number); Exact functor; Pure mathematics; Field (mathematics); Algebra over a field; Hopf algebra; Finitely-generated abelian group; Order (exchange); Linguistics","score_opus":0.017126542839771733,"score_gpt":0.29034922725157525,"score_spread":0.27322268441180353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064349122","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98106027,0.004055791,0.0093569355,0.00035734038,0.00048739972,0.00053320685,0.000009151772,0.00036903666,0.003770886],"genre_scores_gemma":[0.9329838,0.00055560743,0.066040754,0.00009348401,0.00014444705,0.000020219788,0.000002993853,0.000034103276,0.00012460095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983551,0.00004086391,0.00052992033,0.000325002,0.00035113108,0.00039798956],"domain_scores_gemma":[0.998658,0.0005052608,0.0002510526,0.00041228975,0.000075089316,0.0000983008],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00021005642,0.00031588494,0.0005646478,0.000057204226,0.00012601339,0.00007392663,0.00021692255,0.00014954418,0.0000373301],"category_scores_gemma":[0.00040024912,0.0002678026,0.00006290518,0.00026694618,0.000100575184,0.00037929398,0.00008034867,0.00024965036,0.0000047025032],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001523446,0.00021541094,0.00048363794,0.00028645288,0.000020426321,0.000033046577,0.004376543,0.000118062984,0.00002602011,0.9925731,0.00013756311,0.0017145039],"study_design_scores_gemma":[0.00044640075,0.00009532934,0.0003510511,0.00006207405,0.000035380555,0.000039311428,0.0018836104,0.0013415097,0.00028600422,0.9936994,0.0014409823,0.00031899152],"about_ca_topic_score_codex":0.0000046296245,"about_ca_topic_score_gemma":0.000015153457,"teacher_disagreement_score":0.05668382,"about_ca_system_score_codex":0.000057811318,"about_ca_system_score_gemma":0.00003360488,"threshold_uncertainty_score":0.9999774},"labels":[],"label_agreement":null},{"id":"W2065036504","doi":"10.1016/j.jalgebra.2015.02.023","title":"Local Weyl modules and cyclicity of tensor products for Yangians","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Yangian; Irreducibility; Tensor product; Mathematics; Tensor (intrinsic definition); Product (mathematics); Tensor product of algebras; Pure mathematics; Omega; Simple (philosophy); Combinatorics; Algebra over a field; Tensor product of Hilbert spaces; Tensor contraction; Physics; Geometry; Quantum mechanics","score_opus":0.05583881358029482,"score_gpt":0.3001186311661995,"score_spread":0.2442798175859047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065036504","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9847263,0.0004064845,0.013410449,0.0006471671,0.0005301205,0.00017025466,0.0000047308404,0.000008431986,0.00009605811],"genre_scores_gemma":[0.9868912,0.000014571841,0.012584167,0.000040424446,0.00036809218,0.0000017562876,3.195766e-7,0.0000189629,0.00008052194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989476,0.00003573995,0.00046295745,0.00010557492,0.0002956121,0.00015247606],"domain_scores_gemma":[0.9985282,0.0001630064,0.0004515666,0.00016112703,0.0005753225,0.00012078814],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046637183,0.000117667165,0.00039364333,0.000073692776,0.000030345529,0.000016866565,0.00016040735,0.000082800776,0.0000043602527],"category_scores_gemma":[0.0007847155,0.00008495267,0.000099501274,0.00008216711,0.000087398774,0.00013067358,0.000039772767,0.00012696239,4.0782908e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00064073043,0.0002733439,0.00062883936,0.00037438556,0.00030013677,0.000013245799,0.0023079538,0.00006620771,0.0019472773,0.9749065,0.012463184,0.0060781664],"study_design_scores_gemma":[0.0013848977,0.00054637186,0.00058393076,0.00006049929,0.000100836034,0.000108917724,0.00040647382,0.00019800225,0.009898963,0.9859583,0.0006458079,0.00010699387],"about_ca_topic_score_codex":0.0000067276296,"about_ca_topic_score_gemma":0.0000020550021,"teacher_disagreement_score":0.011817376,"about_ca_system_score_codex":0.00003297068,"about_ca_system_score_gemma":0.00009676143,"threshold_uncertainty_score":0.34642693},"labels":[],"label_agreement":null},{"id":"W2065094992","doi":"10.4153/cmb-2008-032-1","title":"Quantum Multiple Construction of Subfactors","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; Bimodule; Generalization; Quantum; Tuple; Pure mathematics; Tensor (intrinsic definition); Construct (python library); Tensor product; Algebra over a field; Discrete mathematics; Mathematical analysis; Quantum mechanics; Computer science; Physics","score_opus":0.036676018266491466,"score_gpt":0.23980186539442755,"score_spread":0.20312584712793608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065094992","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913767,0.00002745014,0.0017450275,0.0005192764,0.00023833232,0.00024280419,0.000015162022,0.000052335086,0.005782939],"genre_scores_gemma":[0.9942057,0.00000561453,0.005264209,0.00006886916,0.00007679089,0.000011952426,0.0000029354326,0.000030135843,0.00033377865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871814,0.000046299418,0.00043181214,0.00019795813,0.00025436742,0.00035144988],"domain_scores_gemma":[0.9985798,0.00047543418,0.00012359857,0.00033463922,0.00010000377,0.00038649907],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00013802681,0.00017547158,0.00037774467,0.00011792072,0.00013921667,0.000009705269,0.0002041652,0.00015677586,0.00683419],"category_scores_gemma":[0.00082989415,0.00015618706,0.00012705389,0.00013004208,0.00026756,0.000023773073,0.000024330953,0.00015996768,0.00048621497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008050119,0.000028190403,0.0006165286,0.000079704885,0.00002454013,0.000016957003,0.00034444252,8.482424e-7,0.000028223312,0.993807,0.0049124644,0.00013300714],"study_design_scores_gemma":[0.00036683452,0.000041713432,0.0002852599,0.000046007357,0.000021599055,0.00011299978,0.00017301942,0.00018641856,0.00059784367,0.99229556,0.005676692,0.0001960742],"about_ca_topic_score_codex":0.0011195363,"about_ca_topic_score_gemma":0.00023493724,"teacher_disagreement_score":0.0063479748,"about_ca_system_score_codex":0.00009300677,"about_ca_system_score_gemma":0.0001961571,"threshold_uncertainty_score":0.9940737},"labels":[],"label_agreement":null},{"id":"W2065215403","doi":"10.1016/j.jcta.2004.01.007","title":"Bose–Mesner algebras attached to invertible Jones pairs","year":2004,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"National Science Council","keywords":"Invertible matrix; Mathematics; Combinatorics; Algebra over a field; Pure mathematics","score_opus":0.023113355523870952,"score_gpt":0.2860101398870554,"score_spread":0.2628967843631845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065215403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9792187,0.0002552434,0.0021241712,0.0016821162,0.014566376,0.000350289,0.0000034066054,0.00008723863,0.0017124573],"genre_scores_gemma":[0.99450535,0.00002307513,0.0028409804,0.00035143903,0.0018789583,0.000010000443,7.7766055e-7,0.0000727499,0.00031670087],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971774,0.00025003497,0.001019631,0.00025260908,0.0008165105,0.0004837778],"domain_scores_gemma":[0.99757755,0.0003892273,0.0006327209,0.00048610708,0.0005143049,0.00040010983],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013763263,0.00038070302,0.00083122397,0.0002342871,0.00022334635,0.00013551625,0.0007262268,0.00023538274,0.0002585231],"category_scores_gemma":[0.0014095018,0.00030253682,0.0003915279,0.0004576862,0.00013645359,0.00061330525,0.00018948968,0.00048778206,0.000021003312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014465654,0.00021104484,0.000078087025,0.00003812153,0.00020557837,0.000054412787,0.0017327577,0.00007061975,0.0005961931,0.99334145,0.0019020877,0.00032309204],"study_design_scores_gemma":[0.0031252196,0.0013112786,0.00009100044,0.00013639228,0.00011443693,0.00015834346,0.00079173077,5.882178e-7,0.011023951,0.97665125,0.0062417095,0.0003540914],"about_ca_topic_score_codex":0.000011972618,"about_ca_topic_score_gemma":0.0000032395994,"teacher_disagreement_score":0.016690182,"about_ca_system_score_codex":0.00023640359,"about_ca_system_score_gemma":0.00033573527,"threshold_uncertainty_score":0.99994266},"labels":[],"label_agreement":null},{"id":"W2065700732","doi":"10.1016/j.aim.2009.05.012","title":"Differential conformal superalgebras and their forms","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Windsor","funders":"","keywords":"Mathematics; Conformal map; Pure mathematics; Differential (mechanical device); Algebra over a field; Differential operator; Mathematical analysis","score_opus":0.01289461662059457,"score_gpt":0.27994435550011865,"score_spread":0.2670497388795241,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065700732","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98629844,0.0005082289,0.0072722947,0.00008361272,0.00021961721,0.00026608445,0.000002924859,0.00007598347,0.005272822],"genre_scores_gemma":[0.99395496,0.0002776708,0.0055001657,0.000076153454,0.00007669269,0.000010232276,0.0000022507515,0.000017029497,0.00008482011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892414,0.000014041605,0.0004047125,0.00018182231,0.00016738236,0.0003078921],"domain_scores_gemma":[0.9992894,0.00023408292,0.000109105764,0.00027202963,0.000028636618,0.00006674899],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001030972,0.00023136547,0.0003820703,0.00006755184,0.00007389062,0.000045617115,0.00020054416,0.00009614396,0.00008569395],"category_scores_gemma":[0.00011000559,0.00015730193,0.00006027888,0.00010507784,0.00006588069,0.00042124293,0.000053637774,0.00017411032,0.0000027392955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011126893,0.00008002167,0.00008252673,0.000080600854,0.0000067573555,0.0000017607822,0.001789728,0.0000027512604,0.00006719161,0.9883562,0.000012497771,0.009508873],"study_design_scores_gemma":[0.0006122089,0.0000922119,0.00024584593,0.00006981862,0.000009214642,0.000019645613,0.00064368185,0.00091285544,0.0007869955,0.996143,0.00025840674,0.00020613948],"about_ca_topic_score_codex":7.7969435e-7,"about_ca_topic_score_gemma":0.0000053479944,"teacher_disagreement_score":0.009302734,"about_ca_system_score_codex":0.00002440328,"about_ca_system_score_gemma":0.0000132039495,"threshold_uncertainty_score":0.64145863},"labels":[],"label_agreement":null},{"id":"W2066237321","doi":"10.1016/j.aim.2007.06.012","title":"Global Hochschild (co-)homology of singular spaces","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Hochschild homology; Mathematics; Homomorphism; Cohomology; Morphism; Commutative property; Pure mathematics; Homology (biology); Mayer–Vietoris sequence; Singular homology; Algebra over a field; Equivariant cohomology; De Rham cohomology","score_opus":0.016490481859587798,"score_gpt":0.34170046899950807,"score_spread":0.3252099871399203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066237321","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9003638,0.0017561743,0.06934233,0.000040522358,0.0006302197,0.00030966065,0.0000058571045,0.00007046459,0.027480945],"genre_scores_gemma":[0.9154624,0.000100903235,0.08424748,0.000025165105,0.000086039036,0.0000042370925,0.0000014168966,0.000020913443,0.00005149652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984363,0.000029440516,0.0006439062,0.00020954688,0.00032447072,0.00035636625],"domain_scores_gemma":[0.99854803,0.000576515,0.0003431636,0.00040910256,0.00006444429,0.000058739293],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057176885,0.00019968333,0.00048023622,0.00008290171,0.000041331026,0.000011470231,0.00032204576,0.0001435832,0.00005710959],"category_scores_gemma":[0.00051238725,0.00017432298,0.00009073649,0.00030663298,0.00016434261,0.00015582785,0.000067657675,0.00012562687,0.0000044531616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021361446,0.0001617116,0.00272396,0.00025413482,0.000017326913,0.000014883232,0.00064435136,0.00006176137,0.000022369293,0.99395597,0.000029418217,0.0020927608],"study_design_scores_gemma":[0.00045633485,0.000067341716,0.0004001155,0.00010750622,0.000020764994,0.000030055216,0.0005655476,0.00012634079,0.00088374724,0.9966167,0.00055355177,0.00017196001],"about_ca_topic_score_codex":0.000007366101,"about_ca_topic_score_gemma":0.000049158156,"teacher_disagreement_score":0.027429448,"about_ca_system_score_codex":0.00007214608,"about_ca_system_score_gemma":0.000028486731,"threshold_uncertainty_score":0.7108685},"labels":[],"label_agreement":null},{"id":"W2066287694","doi":"10.1063/1.1557913","title":"𝒩-point and higher-genus osp(1|2) fusion","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Affine transformation; Polytope; Genus; Fusion; Mathematics; Tensor (intrinsic definition); Fusion rules; Point (geometry); Pure mathematics; Conformal map; Combinatorics; Mathematical analysis; Geometry; Image fusion","score_opus":0.03359720671000264,"score_gpt":0.2837775295215109,"score_spread":0.25018032281150826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066287694","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93791485,0.00032354126,0.044307366,0.00032754414,0.00096659455,0.00020515357,0.0000013183052,0.000030784162,0.01592284],"genre_scores_gemma":[0.9812982,0.000023806626,0.017989883,0.00007507275,0.00034990377,0.000001533037,1.0166229e-7,0.00002823305,0.00023324008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986664,0.00007534393,0.0005355465,0.00010757602,0.00042290255,0.00019224845],"domain_scores_gemma":[0.9986555,0.00046157467,0.00037618214,0.0002069192,0.00014535792,0.00015448935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043135489,0.0001669178,0.00045233502,0.000028557235,0.00006905961,0.000043120428,0.00013975982,0.00008684175,0.00018086607],"category_scores_gemma":[0.0004065622,0.00011669127,0.00015776845,0.00009829414,0.00006388325,0.00014727567,0.000043349773,0.0002687574,0.000009814844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014956525,0.00015255886,0.000010320028,0.00010248248,0.00004483646,0.00001172429,0.00024810244,0.0000019171966,0.00023645628,0.9969711,0.00091880735,0.0012867658],"study_design_scores_gemma":[0.0006144385,0.00014207626,0.000030454152,0.0000985116,0.00008745085,0.00011845082,0.00007291335,0.00003857785,0.0014712428,0.99642664,0.00076926616,0.00012998706],"about_ca_topic_score_codex":2.895399e-7,"about_ca_topic_score_gemma":4.3346834e-8,"teacher_disagreement_score":0.043383367,"about_ca_system_score_codex":0.000034586137,"about_ca_system_score_gemma":0.0000403986,"threshold_uncertainty_score":0.47585317},"labels":[],"label_agreement":null},{"id":"W2066329499","doi":"10.1017/s0017089511000322","title":"FRIEZES, STRINGS AND CLUSTER VARIABLES","year":2011,"lang":"en","type":"preprint","venue":"Glasgow Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Bishop's University; University of Connecticut; Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke; National Science Foundation","keywords":"Quiver; Laurent polynomial; Monomial; String (physics); Cluster algebra; Mathematics; Polynomial; Combinatorics; Polynomial ring; Cluster (spacecraft); Character (mathematics); Pure mathematics; Algebra over a field; Discrete mathematics; Physics; Computer science; Geometry; Mathematical analysis","score_opus":0.04049548577090305,"score_gpt":0.2811415925522812,"score_spread":0.24064610678137816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066329499","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7109185,0.0018720094,0.22222522,0.001670159,0.006461038,0.0018288916,0.00003993557,0.00048715097,0.05449708],"genre_scores_gemma":[0.8725333,0.00043843425,0.12267521,0.00028149688,0.0023410083,0.000057315516,0.000006137625,0.00022112222,0.0014459313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969749,0.00019164891,0.0010749932,0.00049554673,0.000676795,0.0005861577],"domain_scores_gemma":[0.9972451,0.0007340581,0.00068883423,0.00067034224,0.00020326862,0.0004584064],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011192379,0.0005940409,0.0010701135,0.00015562242,0.00023909255,0.0004724685,0.00069376803,0.0008332708,0.0010268606],"category_scores_gemma":[0.0009902748,0.00044923832,0.0003167763,0.0000725342,0.0001718733,0.00014384005,0.001347394,0.0023352874,0.000034499208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046533638,0.00013089179,0.00002330178,0.0007860172,0.00027397648,0.000036241647,0.0012254122,0.0000033905053,0.000008474375,0.99076617,0.0058257324,0.00087386987],"study_design_scores_gemma":[0.00069867726,0.00006636755,0.000028874387,0.0007639807,0.00033086006,0.0008632464,0.00010571654,0.00036039477,0.000077178716,0.9957066,0.0005117377,0.00048634736],"about_ca_topic_score_codex":0.00000611633,"about_ca_topic_score_gemma":0.0000015530582,"teacher_disagreement_score":0.16161484,"about_ca_system_score_codex":0.00009781646,"about_ca_system_score_gemma":0.0001886015,"threshold_uncertainty_score":0.9999664},"labels":[],"label_agreement":null},{"id":"W2066411435","doi":"10.1139/p06-027","title":"Magnetic quantization over Riemannian manifolds","year":2006,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Physics; Symplectic geometry; Phase space; Pure mathematics; Cotangent bundle; Noncommutative geometry; Quantization (signal processing); Mathematical analysis; Mathematical physics; Mathematics; Quantum mechanics; Trigonometric functions","score_opus":0.015056758978740049,"score_gpt":0.2361086062330872,"score_spread":0.22105184725434715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066411435","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9885711,0.00033734294,0.0059057022,0.00016187066,0.0013109334,0.000090501395,0.0000071654654,0.000009605433,0.0036057776],"genre_scores_gemma":[0.9978353,0.0000018829452,0.0007270598,0.00006514381,0.0010670209,4.826244e-7,0.0000016459657,0.000021936277,0.0002795455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999249,0.00002426251,0.00027915864,0.00007109438,0.0001742044,0.00020232816],"domain_scores_gemma":[0.99928916,0.000036069803,0.00020273967,0.00013845609,0.00014897283,0.00018457694],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000082849234,0.000103848535,0.00017434529,0.00006622155,0.000087634384,0.000059019687,0.00016411942,0.000060542447,0.00014850119],"category_scores_gemma":[0.00003149905,0.00009601302,0.0000987924,0.00014199423,0.00003691729,0.0001243352,0.0000054572015,0.00012561648,0.0000049727337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030331548,0.000010732742,0.0014657469,0.000013598122,0.000011255917,0.00003256045,0.000117609554,0.00008815877,0.00005029715,0.989924,0.0072909147,0.0009921002],"study_design_scores_gemma":[0.0003199569,0.00007012925,0.0036810907,0.000029924237,0.00004128015,0.000024545696,0.000023200078,0.0000977167,0.00025253269,0.9926271,0.0027228578,0.000109668574],"about_ca_topic_score_codex":0.0020962292,"about_ca_topic_score_gemma":0.0035704216,"teacher_disagreement_score":0.009264181,"about_ca_system_score_codex":0.00009025535,"about_ca_system_score_gemma":0.0003543347,"threshold_uncertainty_score":0.39152974},"labels":[],"label_agreement":null},{"id":"W2066563400","doi":"10.3390/axioms1020111","title":"Valued Graphs and the Representation Theory of Lie Algebras","year":2012,"lang":"en","type":"article","venue":"Axioms","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Quiver; Mathematics; Representation theory; Associative property; Subcategory; Tensor product; Field (mathematics); Pure mathematics; Generalization; Algebra over a field; Algebraic structure; Tensor (intrinsic definition)","score_opus":0.03818676759895832,"score_gpt":0.29804439075247086,"score_spread":0.2598576231535125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066563400","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9936721,0.00063281227,0.0028675757,0.00009140322,0.00042048175,0.0001923801,7.865719e-7,0.000026033524,0.0020964683],"genre_scores_gemma":[0.9994723,0.000020758358,0.00019930967,0.000061490864,0.000075990465,0.0000121985295,8.1338607e-7,0.000010837191,0.00014628586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993336,0.0001364103,0.00016749014,0.00008097957,0.00015367722,0.00012780695],"domain_scores_gemma":[0.9990098,0.00055918714,0.00010699689,0.00025844935,0.000029607929,0.000035980374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005044894,0.00007403843,0.00015395961,0.000025951658,0.00005951423,0.000010369264,0.00009932827,0.000047232952,0.000058136473],"category_scores_gemma":[0.00026243948,0.000043584587,0.00006262359,0.00009717612,0.00017253571,0.000085353284,0.000054143376,0.00006259784,0.0000024324493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064004555,0.000017635755,0.00021948077,0.000012709687,0.000042555694,9.6779985e-8,0.002745823,1.3314497e-7,0.0000617481,0.995574,0.000112453825,0.0011493637],"study_design_scores_gemma":[0.0007377492,0.000013934912,0.0021018186,0.000007205718,0.00005757109,0.0000042192637,0.00048114464,0.000025853074,0.0015425377,0.994959,0.000015559686,0.00005342927],"about_ca_topic_score_codex":0.000024895024,"about_ca_topic_score_gemma":5.356287e-7,"teacher_disagreement_score":0.0058002574,"about_ca_system_score_codex":0.0000044372755,"about_ca_system_score_gemma":0.0000063287066,"threshold_uncertainty_score":0.17773278},"labels":[],"label_agreement":null},{"id":"W20674936","doi":"10.1090/conm/406/07654","title":"𝐴-infinity algebras, modules and functor categories","year":2006,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":99,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Institute for Advanced Research","keywords":"Functor; Infinity; Mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.03235946377509169,"score_gpt":0.27476467561391404,"score_spread":0.24240521183882235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W20674936","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00456243,0.002949458,0.043202735,0.00041969487,0.00067384576,0.0026935325,0.00032897765,0.0023649037,0.9428044],"genre_scores_gemma":[0.0573795,0.00044948998,0.30141264,0.00067374227,0.0025171426,0.0006125453,0.00026011854,0.004303902,0.6323909],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952858,0.00015822912,0.0014600935,0.0011153081,0.0011043483,0.0008762278],"domain_scores_gemma":[0.9946699,0.0014206407,0.0017245151,0.0016175447,0.00012169496,0.00044566244],"candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0006140764,0.0014270179,0.0028592742,0.00015744199,0.00025583417,0.00025024466,0.0007887717,0.0007586439,0.00070688693],"category_scores_gemma":[0.0005015878,0.0011727163,0.0008200986,0.00046090092,0.0018827367,0.00014203077,0.000541534,0.00085109187,0.00008410828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006279573,0.0002906724,0.000024891495,0.0019043867,0.0004104555,0.00000823946,0.0007205179,1.14207715e-7,0.000005336445,0.52810514,0.46832937,0.00019460334],"study_design_scores_gemma":[0.0006947408,0.00013673824,0.000012571869,0.00060618186,0.00031265966,0.000026229764,0.0013277556,0.00045998173,0.000021488304,0.9287519,0.06637457,0.0012751725],"about_ca_topic_score_codex":0.00032785014,"about_ca_topic_score_gemma":0.000028630706,"teacher_disagreement_score":0.4019548,"about_ca_system_score_codex":0.00012816432,"about_ca_system_score_gemma":0.00021634846,"threshold_uncertainty_score":0.999848},"labels":[],"label_agreement":null},{"id":"W2067766943","doi":"10.1515/forum-2011-0155","title":"Primitive ideals in quantum Schubert cells: Dimension of the strata","year":2012,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Subalgebra; Torus; Weyl group; Invariant (physics); Quantum group; Maximal torus; Combinatorics; Lie algebra; Algebra over a field; Mathematical physics; Geometry; Fundamental representation","score_opus":0.04027395033854622,"score_gpt":0.29804763430675035,"score_spread":0.2577736839682041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067766943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99046886,0.00040848297,0.001188581,0.0002904944,0.0031078786,0.0019064813,0.000057610574,0.00007976349,0.0024918409],"genre_scores_gemma":[0.9962017,0.000018806331,0.0032054,0.00004780814,0.0001261573,0.000095368305,0.0000070989076,0.00008536315,0.00021229844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99689233,0.00019616117,0.0011559683,0.00044168162,0.00070764875,0.0006061982],"domain_scores_gemma":[0.9964678,0.0005951471,0.0011336821,0.0015792581,0.00013170774,0.00009236217],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007250325,0.00051398604,0.0010514723,0.00012094835,0.000090132526,0.00004752916,0.0009798062,0.0005493086,0.00011108913],"category_scores_gemma":[0.000400349,0.00034123613,0.00040709059,0.00018284167,0.00012984239,0.00010436482,0.0018370689,0.00086278236,0.00001429509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022485556,0.00029901002,0.00014861178,0.0017852215,0.00010278786,0.0000019707522,0.0027757927,0.00004778124,0.0012230847,0.99188113,0.0016332886,0.000078838566],"study_design_scores_gemma":[0.00035624538,0.000027452608,0.0001808205,0.0018257964,0.00013409699,0.0000057296556,0.0007242126,0.00083949097,0.020097341,0.97542953,0.000025691357,0.00035360988],"about_ca_topic_score_codex":0.00009361872,"about_ca_topic_score_gemma":0.000030305955,"teacher_disagreement_score":0.018874258,"about_ca_system_score_codex":0.00013642982,"about_ca_system_score_gemma":0.00017562187,"threshold_uncertainty_score":0.999904},"labels":[],"label_agreement":null},{"id":"W2067876791","doi":"10.1007/s10468-006-9038-x","title":"Orderings and *-Orderings on Cocommutative Hopf Algebras","year":2006,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; Carleton University","funders":"","keywords":"Mathematics; Hopf algebra; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.01777819264450186,"score_gpt":0.2883220712693712,"score_spread":0.27054387862486934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067876791","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.990282,0.0003640943,0.0016867687,0.0003774833,0.000224895,0.0003509116,0.0000037036978,0.0001193816,0.006590754],"genre_scores_gemma":[0.9975583,0.00006814668,0.0008361134,0.0002543138,0.00016639425,0.000039906052,0.000009887654,0.00004174094,0.0010252147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985966,0.00016265381,0.0003231728,0.00041677133,0.00024911595,0.0002516855],"domain_scores_gemma":[0.99848247,0.00090043206,0.00017173991,0.0002898673,0.00007021387,0.00008528616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029508543,0.00024920283,0.00029487276,0.00010385861,0.0003177743,0.00010839994,0.000118421594,0.000119290664,0.00012468763],"category_scores_gemma":[0.00017457607,0.00020735491,0.000061702165,0.00015772771,0.00023528861,0.00017748057,0.00011831905,0.0001884387,0.0000072846774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009496047,0.00004953854,0.00076815544,0.000032978474,0.000049798586,0.0000062468525,0.0011630149,0.000009084117,0.00026394235,0.9934018,0.00054489536,0.0036155812],"study_design_scores_gemma":[0.0009273485,0.000111829,0.0056096716,0.000034408644,0.000046775476,0.000022594992,0.0009801687,0.000069453235,0.0024637314,0.9891752,0.00030652515,0.0002522951],"about_ca_topic_score_codex":0.00016121686,"about_ca_topic_score_gemma":0.0000118598755,"teacher_disagreement_score":0.0072762747,"about_ca_system_score_codex":0.000020077709,"about_ca_system_score_gemma":0.00001728292,"threshold_uncertainty_score":0.8455688},"labels":[],"label_agreement":null},{"id":"W2067954169","doi":"10.1016/j.jalgebra.2004.03.022","title":"On generalized standard Auslander–Reiten components having only finitely many non-directing modules","year":2004,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Mathematics; Component (thermodynamics); Pure mathematics; Finitely-generated abelian group; Algebra over a field","score_opus":0.03378839831443535,"score_gpt":0.29343067095855824,"score_spread":0.2596422726441229,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067954169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98884887,0.00010603165,0.008456726,0.00029582766,0.0014076008,0.00014567589,0.000005072172,0.000039409097,0.0006947649],"genre_scores_gemma":[0.9848948,0.000030450941,0.014118077,0.00020225951,0.0006064273,0.0000016991895,0.0000018689346,0.000054961532,0.000089417175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99771726,0.00007378599,0.0008220255,0.00020923332,0.0008159811,0.00036168876],"domain_scores_gemma":[0.99819094,0.00031069567,0.0007781781,0.00028472254,0.00024976648,0.00018572238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050459994,0.00028550441,0.00064933306,0.00021522651,0.00021417468,0.00012204927,0.00038112828,0.00014835008,0.000100703866],"category_scores_gemma":[0.00036202365,0.00022363616,0.0003144573,0.00016053437,0.000039827588,0.00021784354,0.00007785156,0.00051665027,0.0000084815065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00097332697,0.00030429094,0.0006027338,0.00011600662,0.0004989099,0.00028836107,0.002285862,0.0019056938,0.0025349224,0.9859329,0.001662407,0.0028945946],"study_design_scores_gemma":[0.0041943793,0.0005340416,0.00179797,0.0004470965,0.000121976904,0.0002897601,0.00014426668,0.00012630512,0.0019984692,0.9898984,0.00016715025,0.00028017547],"about_ca_topic_score_codex":0.000029064637,"about_ca_topic_score_gemma":0.00000887273,"teacher_disagreement_score":0.0056613516,"about_ca_system_score_codex":0.00023384401,"about_ca_system_score_gemma":0.00014896598,"threshold_uncertainty_score":0.9119618},"labels":[],"label_agreement":null},{"id":"W2068716775","doi":"10.1016/j.aim.2009.10.009","title":"Homology of perfect complexes","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":116,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Local ring; Homology (biology); Pure mathematics; Bounded function; Complete intersection; Mathematical proof; Abelian group; Commutative property; Homomorphism; Dimension (graph theory); Commutative ring; Discrete mathematics; Ring (chemistry); Geometry; Mathematical analysis","score_opus":0.021408183342609056,"score_gpt":0.3296793222957875,"score_spread":0.3082711389531784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068716775","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97170204,0.0015420085,0.00807373,0.000101967795,0.00032668267,0.00031357264,0.0000030763747,0.000069924376,0.017867012],"genre_scores_gemma":[0.9580862,0.00013913635,0.041609164,0.000033905253,0.000041274794,0.000005617586,8.294755e-7,0.000012041987,0.00007181669],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898523,0.000032647164,0.0004459132,0.0001453963,0.00018564709,0.00020517415],"domain_scores_gemma":[0.99893206,0.00046512386,0.00020102957,0.00032830297,0.000044166914,0.000029332092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018696267,0.00014246283,0.00042665703,0.00007963369,0.000028409057,0.000006066775,0.0002520793,0.00007319154,0.00007730171],"category_scores_gemma":[0.00028364576,0.000119083634,0.00007129223,0.0001721187,0.00007861687,0.00012442027,0.000031013795,0.00011915979,0.0000034366944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008356562,0.00015570252,0.00014109153,0.00012597769,0.0000055030087,0.0000032798746,0.0007932826,0.000050863022,0.00017222478,0.99573493,0.000031880423,0.0027769324],"study_design_scores_gemma":[0.00034533656,0.00013051684,0.00024829275,0.00006807736,0.000012990125,0.000014200493,0.00021209316,0.00033170116,0.0011269304,0.99721295,0.00017531807,0.00012162425],"about_ca_topic_score_codex":0.0000015963346,"about_ca_topic_score_gemma":0.000005173394,"teacher_disagreement_score":0.033535436,"about_ca_system_score_codex":0.00002328937,"about_ca_system_score_gemma":0.000015740043,"threshold_uncertainty_score":0.48560897},"labels":[],"label_agreement":null},{"id":"W2068811314","doi":"10.4153/cmb-2007-019-x","title":"On the Coxeter Transformations for Tamari Posets","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Coxeter group; Mathematics; Coxeter complex; Pure mathematics; Combinatorics; Artin group","score_opus":0.029882375555778516,"score_gpt":0.27404731777465663,"score_spread":0.2441649422188781,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068811314","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48561543,0.00005111101,0.18013358,0.07123915,0.0011302986,0.0047533577,0.00017094363,0.0002485795,0.25665757],"genre_scores_gemma":[0.99314106,6.438431e-7,0.0022083228,0.0030403612,0.00013748634,0.0000841092,0.000006185413,0.000037902846,0.0013439509],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868685,0.000028446912,0.00036869885,0.00016855724,0.00022052698,0.00052691315],"domain_scores_gemma":[0.9965737,0.00255861,0.000057702156,0.00036755664,0.00007637585,0.00036605378],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00076216523,0.00018083684,0.0002127264,0.00008579131,0.00031852996,0.00006418351,0.00024367923,0.00013926094,0.0064528254],"category_scores_gemma":[0.001079837,0.00011926965,0.00015331905,0.00009682831,0.000078009856,0.000018850957,0.000010867596,0.0001929877,0.0009074083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013855733,0.00002109636,5.1000177e-7,0.00003966548,0.000019523208,0.0000039832576,0.00030692172,6.298638e-7,0.000004013196,0.9484956,0.050805755,0.00028841945],"study_design_scores_gemma":[0.00028451293,0.000057555593,0.000010521976,0.000038883758,0.000027007765,0.00001240357,0.0001286921,0.00008915797,0.00015729554,0.9391154,0.05992534,0.00015321583],"about_ca_topic_score_codex":0.00010788738,"about_ca_topic_score_gemma":0.0005627593,"teacher_disagreement_score":0.5075256,"about_ca_system_score_codex":0.00012237679,"about_ca_system_score_gemma":0.000117392556,"threshold_uncertainty_score":0.9998705},"labels":[],"label_agreement":null},{"id":"W2069171388","doi":"10.1007/bf02784503","title":"Lifting of Nichols algebras of typeB 2","year":2002,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Mathematics; Cube root; Generalization; Diagonal; Algebra over a field; Cube (algebra); Binomial theorem; Pure mathematics; Matrix (chemical analysis); Computation; Cartan matrix; Discrete mathematics; Combinatorics; Current algebra; Affine Lie algebra; Geometry; Mathematical analysis","score_opus":0.06366906132478391,"score_gpt":0.29547598642911066,"score_spread":0.23180692510432677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069171388","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99141663,0.00065786956,0.00367177,0.00008599415,0.00043507075,0.00011975594,0.000003525063,0.000011518555,0.0035978337],"genre_scores_gemma":[0.95533836,0.00006567985,0.044184692,0.000022732325,0.0001694361,6.9622104e-7,1.14251534e-7,0.000032688367,0.0001856172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977047,0.000049507038,0.0013671068,0.00008337727,0.00061158696,0.00018372477],"domain_scores_gemma":[0.9965381,0.000671519,0.0019144147,0.0003433678,0.00044819,0.00008442122],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006138079,0.00016723122,0.0007171087,0.0001421939,0.000031971107,0.000013955662,0.0004367248,0.000119274795,0.00020157431],"category_scores_gemma":[0.0011309694,0.00012879136,0.00028063176,0.00019936253,0.00007636812,0.00009647421,0.00006876476,0.00024071947,0.000005183306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024373372,0.00082504906,0.0004955079,0.0010513505,0.00038668572,0.000019164321,0.006169832,0.000042234504,0.0042077196,0.9818485,0.0025189107,0.0024106696],"study_design_scores_gemma":[0.00089307,0.00028599295,0.000050394883,0.00058712845,0.00020326921,0.00016624178,0.0014265268,0.0007699425,0.0101585835,0.9851206,0.00017735905,0.00016088535],"about_ca_topic_score_codex":0.000002549737,"about_ca_topic_score_gemma":8.5809006e-7,"teacher_disagreement_score":0.04051292,"about_ca_system_score_codex":0.000025434196,"about_ca_system_score_gemma":0.000033826396,"threshold_uncertainty_score":0.52519596},"labels":[],"label_agreement":null},{"id":"W2069743325","doi":"10.4153/cmb-2010-066-7","title":"Notes on Diagonal Coinvariants of the Dihedral Group","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Göran Gustafssons Stiftelser","keywords":"Mathematics; Diagonal; Dihedral group; Group (periodic table); Dihedral angle; Combinatorics; Chemistry; Geometry; Organic chemistry","score_opus":0.019231968061705053,"score_gpt":0.24535196564326844,"score_spread":0.2261199975815634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069743325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9764537,0.000006110961,0.00022276564,0.005852117,0.00088351034,0.00037646218,0.000031152533,0.000030968324,0.01614322],"genre_scores_gemma":[0.9973496,4.162767e-7,0.0014349464,0.0005893021,0.00019586814,0.00001992662,0.0000014777681,0.000032824046,0.00037560458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998659,0.000055036184,0.00034653296,0.00021264797,0.00034475554,0.0003819927],"domain_scores_gemma":[0.9978164,0.0010464316,0.000113869995,0.00062877394,0.000056676537,0.00033784565],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00028046532,0.00019899769,0.00030769806,0.000058047077,0.00015026746,0.00003389368,0.000516001,0.00018706679,0.009192661],"category_scores_gemma":[0.0023759452,0.0001255546,0.00016798518,0.00011766717,0.0002176213,0.000015354173,0.000062457635,0.00044356592,0.00047777416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006662078,0.00004851005,0.00008884435,0.000043796328,0.00001743642,0.000004436069,0.00011983612,4.4718618e-7,0.00018444088,0.9953168,0.003973857,0.00019493549],"study_design_scores_gemma":[0.00027256075,0.00004028778,0.00083387207,0.00006430421,0.000025977903,0.000016294025,0.000022468326,0.000046587138,0.0006766041,0.9925047,0.005338722,0.00015760402],"about_ca_topic_score_codex":0.0006142368,"about_ca_topic_score_gemma":0.0021127902,"teacher_disagreement_score":0.020895941,"about_ca_system_score_codex":0.000042357493,"about_ca_system_score_gemma":0.00014504549,"threshold_uncertainty_score":0.99171305},"labels":[],"label_agreement":null},{"id":"W2070049423","doi":"10.1063/1.2940318","title":"Gradings and contractions of affine Kac–Moody algebras","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Modulo; Mathematics; Affine transformation; Contraction (grammar); Pure mathematics; Lie algebra; Type (biology); Algebra over a field; Discrete mathematics","score_opus":0.04674750605823395,"score_gpt":0.2903248860543192,"score_spread":0.24357737999608528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070049423","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9799898,0.00008592594,0.018181633,0.0001971574,0.00019178822,0.00010382391,0.0000020931136,0.000012977902,0.0012347528],"genre_scores_gemma":[0.98961633,0.000043187447,0.009856732,0.000028305356,0.00034218808,0.000001301165,1.8529306e-7,0.0000210712,0.00009068719],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99864846,0.00003338662,0.00066414534,0.00008689266,0.000413376,0.00015374825],"domain_scores_gemma":[0.9981511,0.000724555,0.0005982149,0.00017319575,0.00023338916,0.00011949705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002209125,0.00014596203,0.0005816313,0.00004530384,0.00007824325,0.000012642476,0.0001545532,0.000075158074,0.00006854048],"category_scores_gemma":[0.0004638007,0.00010779483,0.00018895038,0.00012164917,0.00016006296,0.00018638204,0.00004047165,0.00026383443,0.0000027317753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030379904,0.0003031812,0.000058931197,0.00011585139,0.00011378546,0.000011774388,0.00071513053,0.0000027868318,0.0010948027,0.99628556,0.00095868646,0.00030915093],"study_design_scores_gemma":[0.00072725554,0.00017563764,0.00018896857,0.00009902601,0.0001249002,0.00038232413,0.000094650924,0.000120654644,0.0030058355,0.9949125,0.000065450105,0.00010277884],"about_ca_topic_score_codex":0.0000011914963,"about_ca_topic_score_gemma":1.15894245e-7,"teacher_disagreement_score":0.009626495,"about_ca_system_score_codex":0.000022926859,"about_ca_system_score_gemma":0.000053625026,"threshold_uncertainty_score":0.43957457},"labels":[],"label_agreement":null},{"id":"W2070375537","doi":"10.1016/s0022-4049(02)00195-0","title":"Remarks on the frame envelope of a σ-frame","year":2003,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Equivalence (formal languages); Frame (networking); Pure mathematics; Computer science; Telecommunications","score_opus":0.01835969711144031,"score_gpt":0.25187345389318333,"score_spread":0.23351375678174302,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070375537","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9882043,0.00022067702,0.00083603617,0.0006207503,0.00030352178,0.00016292869,0.0000012184148,0.000006806226,0.009643742],"genre_scores_gemma":[0.99763864,0.00004863841,0.0016508026,0.00038790048,0.00017718265,0.0000030136655,1.3587571e-7,0.000017873022,0.00007581797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884784,0.000055458055,0.00046541129,0.000107971646,0.0003604261,0.0001628842],"domain_scores_gemma":[0.9986449,0.00048320394,0.00048490017,0.00022219004,0.000085565924,0.0000792667],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054423494,0.00015377083,0.000370565,0.00005755003,0.000080075355,0.000033142085,0.00020964499,0.00013170361,0.00016425487],"category_scores_gemma":[0.00026734674,0.000086611675,0.00011699401,0.00012244399,0.000069129776,0.000039821378,0.000028739725,0.00042643223,0.0000021250926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005478943,0.0000537611,0.000023001,0.000024759196,0.00007991041,0.0000027996732,0.00047659865,0.0000029697394,0.0012135637,0.9948913,0.0026377896,0.0005387475],"study_design_scores_gemma":[0.00052109204,0.00014360939,0.000112106245,0.000059964204,0.000056731482,0.000045098637,0.00044551658,0.0000016550719,0.0077317986,0.9883916,0.002390108,0.00010076805],"about_ca_topic_score_codex":5.044408e-7,"about_ca_topic_score_gemma":4.580823e-7,"teacher_disagreement_score":0.009567925,"about_ca_system_score_codex":0.00001490563,"about_ca_system_score_gemma":0.00006077982,"threshold_uncertainty_score":0.35319218},"labels":[],"label_agreement":null},{"id":"W2072046609","doi":"10.1006/jabr.1999.8148","title":"Constructing Pointed Hopf Algebras by Ore Extensions","year":2000,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University; Mount Allison University","funders":"","keywords":"Hopf algebra; Mathematics; Pure mathematics; Representation theory of Hopf algebras; Algebra over a field; Quasitriangular Hopf algebra; Division algebra; Algebra representation","score_opus":0.017453092217406773,"score_gpt":0.2736943618879387,"score_spread":0.25624126967053196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072046609","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99368733,0.0004723936,0.00040145544,0.00074327644,0.0008485581,0.000115557894,0.0000072783782,0.00004814181,0.0036759845],"genre_scores_gemma":[0.99284655,0.000076931756,0.005332829,0.00035047662,0.0005342829,0.0000014455627,0.000002356964,0.00004893696,0.00080618256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979056,0.00009624777,0.00089960155,0.00019051967,0.0005489317,0.00035908972],"domain_scores_gemma":[0.9982913,0.0003006069,0.0005597701,0.0003111675,0.00029451915,0.0002426436],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036579274,0.00025109865,0.0005603091,0.00011348547,0.00018314339,0.00007675773,0.00038400918,0.00016530704,0.0033664536],"category_scores_gemma":[0.00042127745,0.00019672707,0.00030086105,0.0002492871,0.00011249203,0.00027917366,0.00004444185,0.0005437182,0.000028708866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027544785,0.00025104496,0.00063042267,0.000049966304,0.000338047,0.00017125045,0.0009681672,0.000007577415,0.0012588021,0.8328067,0.10972984,0.053512745],"study_design_scores_gemma":[0.0014415615,0.00023693375,0.0001232431,0.0001494484,0.00013735476,0.0012913545,0.0007057872,0.000058626647,0.001759325,0.9890314,0.0047852546,0.00027973033],"about_ca_topic_score_codex":0.000010735868,"about_ca_topic_score_gemma":0.0000025959691,"teacher_disagreement_score":0.15622468,"about_ca_system_score_codex":0.00009139572,"about_ca_system_score_gemma":0.00011653195,"threshold_uncertainty_score":0.9975446},"labels":[],"label_agreement":null},{"id":"W2072897316","doi":"10.1016/j.jpaa.2003.12.004","title":"Weight modules over exp-polynomial Lie algebras","year":2004,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":86,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; Carleton University","funders":"","keywords":"Mathematics; Polynomial; Verma module; Pure mathematics; Lie algebra; Class (philosophy); Algebra over a field; Virasoro algebra; Algebra representation; Mathematical analysis; Cellular algebra; Computer science","score_opus":0.014327362293151187,"score_gpt":0.24916847857434257,"score_spread":0.2348411162811914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072897316","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9949215,0.0005773334,0.001351388,0.000491732,0.00077024224,0.00015214522,0.0000029019236,0.00002931268,0.0017034309],"genre_scores_gemma":[0.99393064,0.000119051314,0.0037733684,0.00031330128,0.0017588014,0.0000049422592,9.4485e-7,0.000040366307,0.000058558533],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837404,0.000020500764,0.00062182755,0.00021263509,0.00045798178,0.00031300224],"domain_scores_gemma":[0.9988919,0.00011457449,0.0004574253,0.00021334775,0.000100088386,0.00022266635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023878139,0.0002774829,0.0005374075,0.00012601542,0.0001427339,0.00009246799,0.0002910024,0.00020340057,0.00012466224],"category_scores_gemma":[0.000059511072,0.0002071137,0.00018937925,0.000135028,0.00008833576,0.00018780102,0.00009082994,0.00042007302,0.000006775239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012455587,0.00010560525,0.00005320233,0.00003911366,0.00013487645,0.00002461188,0.0005482826,0.000009582076,0.0017556498,0.9907549,0.0047142264,0.0017353835],"study_design_scores_gemma":[0.0025035674,0.00014201795,0.00055449683,0.00005471098,0.00011317862,0.00012463251,0.00016226072,0.0000020836117,0.008622151,0.9862313,0.0012414058,0.0002481565],"about_ca_topic_score_codex":0.000003932021,"about_ca_topic_score_gemma":0.0000031834597,"teacher_disagreement_score":0.006866501,"about_ca_system_score_codex":0.00006404837,"about_ca_system_score_gemma":0.00009702106,"threshold_uncertainty_score":0.8445851},"labels":[],"label_agreement":null},{"id":"W2073772154","doi":"10.1016/j.jalgebra.2008.12.005","title":"Algebraic structures on Grothendieck groups of a tower of algebras","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Axiom; Tower; Hopf algebra; Grothendieck group; Algebraic structure; Dual (grammatical number); Pure mathematics; Algebra over a field; Group (periodic table); Extension (predicate logic); Geometry; Computer science","score_opus":0.025534595826414114,"score_gpt":0.2955348783985045,"score_spread":0.2700002825720904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073772154","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99607396,0.00039629693,0.00053104287,0.00035812712,0.00089366874,0.00023501058,0.000006662263,0.000020069012,0.0014851405],"genre_scores_gemma":[0.99614596,0.000045202807,0.0029857708,0.00024883167,0.00047259263,0.0000012741511,9.367592e-7,0.000036197638,0.000063236104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99679613,0.00011312875,0.0015045074,0.00022152417,0.0010183246,0.00034638887],"domain_scores_gemma":[0.99662924,0.00041929545,0.0018257331,0.0005288537,0.00041949085,0.00017740912],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051421643,0.00034774138,0.0010596658,0.00038280294,0.000058962058,0.000023957426,0.0006973605,0.00022699546,0.0003836883],"category_scores_gemma":[0.00050746015,0.0002572416,0.0005762478,0.00033799207,0.00012585355,0.00022631054,0.000052894884,0.0004714658,0.0000016323215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005061671,0.00032389487,0.00017601652,0.00007178357,0.00024582853,0.00002528863,0.0010145069,0.000023594957,0.0034051824,0.9880896,0.002745856,0.0033722392],"study_design_scores_gemma":[0.0015409539,0.0021477027,0.004590781,0.00020595983,0.0001418904,0.000111772926,0.00016800634,0.000008417978,0.028728591,0.96199924,0.00013333104,0.0002233622],"about_ca_topic_score_codex":0.0000063600005,"about_ca_topic_score_gemma":0.0000012494943,"teacher_disagreement_score":0.026090411,"about_ca_system_score_codex":0.00006269433,"about_ca_system_score_gemma":0.00013508764,"threshold_uncertainty_score":0.99998796},"labels":[],"label_agreement":null},{"id":"W2074219522","doi":"10.1088/1751-8113/46/4/045202","title":"An integral arising from the chiral<i>sl</i>(<i>n</i>) Potts model","year":2013,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Pi; Hypergeometric distribution; Hypergeometric function; Laurent series; Logarithm; Potts model; Mathematics; Combinatorics; Mathematical physics; Polynomial; Physics; Pure mathematics; Mathematical analysis; Quantum mechanics; Geometry; Ising model","score_opus":0.0175690180167262,"score_gpt":0.27089140029291553,"score_spread":0.2533223822761893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074219522","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9012215,0.00004973905,0.09663992,0.0010139187,0.00013936967,0.00017110552,0.000004147715,0.00001978583,0.00074049237],"genre_scores_gemma":[0.97694093,0.0000095950945,0.021985693,0.00034342217,0.00066668127,0.0000054469865,7.607018e-7,0.000032478398,0.000014979153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829495,0.00012754803,0.0006244655,0.00017486996,0.0004948586,0.00028331217],"domain_scores_gemma":[0.99783903,0.0010936483,0.00027189273,0.00035545148,0.00018978468,0.00025016852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041541335,0.00024297538,0.00052307016,0.000020149082,0.0001363103,0.00022551997,0.00044561317,0.00011821536,0.00023029653],"category_scores_gemma":[0.00032375279,0.00012442263,0.00021239492,0.000084451174,0.00051645783,0.00032170166,0.00010692146,0.00056028453,0.000011247168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027992837,0.00021149324,0.000019123087,0.000018006978,0.000068210466,0.0000029871894,0.0010346983,0.000014099659,0.0003284451,0.9960299,0.00024909733,0.0019959065],"study_design_scores_gemma":[0.0004424139,0.00014829726,0.000027359476,0.0001047607,0.00013000448,0.00004094596,0.00029114826,0.049480543,0.0006057598,0.94856846,0.0000037447032,0.00015658839],"about_ca_topic_score_codex":0.0000033130511,"about_ca_topic_score_gemma":1.4432015e-7,"teacher_disagreement_score":0.075719416,"about_ca_system_score_codex":0.000019214918,"about_ca_system_score_gemma":0.00004650043,"threshold_uncertainty_score":0.5073807},"labels":[],"label_agreement":null},{"id":"W2074466790","doi":"10.1112/s0010437x1100724x","title":"Braiding via geometric Lie algebra actions","year":2012,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Braid group; Algebra over a field; Braid theory; Categorical variable; Action (physics); Braid; Lie algebra; Lie group; Representation of a Lie group","score_opus":0.07042403207221286,"score_gpt":0.3224641502914164,"score_spread":0.2520401182192035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074466790","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7982989,0.00047871578,0.16448292,0.00037755843,0.0017926767,0.00066253403,0.000007433629,0.0005918973,0.033307362],"genre_scores_gemma":[0.97782105,0.000005613294,0.020968622,0.000108683926,0.0005836545,0.00005804731,0.000005843025,0.00006340488,0.00038505683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821115,0.000068420675,0.00046914077,0.00022847431,0.00042100283,0.00060181244],"domain_scores_gemma":[0.9979991,0.000860632,0.00020149672,0.0005896069,0.000079795165,0.00026942653],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033593026,0.0002840901,0.00042802352,0.00024779182,0.00033922505,0.00008389745,0.0003339265,0.00014479026,0.0008738406],"category_scores_gemma":[0.00022626673,0.00025295748,0.00019763257,0.0005703529,0.00006296536,0.00036405548,0.00015207792,0.00024809715,0.00033930922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007230039,0.00030087464,0.00006607696,0.00013998871,0.00008964705,0.000001630737,0.0006337767,0.0000013132797,0.0010643937,0.9943629,0.002392839,0.00093935424],"study_design_scores_gemma":[0.00033469644,0.000044814456,0.00027503588,0.0000717131,0.00013270919,0.00012522009,0.0000974279,0.00021548288,0.0052897795,0.99222696,0.00084905076,0.00033712314],"about_ca_topic_score_codex":0.0000033447832,"about_ca_topic_score_gemma":2.7714557e-7,"teacher_disagreement_score":0.17952219,"about_ca_system_score_codex":0.00010961372,"about_ca_system_score_gemma":0.000023117213,"threshold_uncertainty_score":0.99999225},"labels":[],"label_agreement":null},{"id":"W2074895978","doi":"10.4153/cjm-2001-023-8","title":"Multi-Sided Braid Type Subfactors","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Braid; Unitary state; Type (biology); Braid group; Pure mathematics; Connection (principal bundle); Algebra over a field; Geometry","score_opus":0.07823177126840247,"score_gpt":0.2998358884289362,"score_spread":0.22160411716053374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074895978","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993217,0.00024933397,0.0035057054,0.00024000792,0.0015708808,0.00012762306,0.0000039677766,0.000016499956,0.0010690076],"genre_scores_gemma":[0.97401476,0.00002186773,0.02491293,0.00009612388,0.00028190867,7.3023284e-7,8.6085106e-7,0.0000449649,0.00062586804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986384,0.000036619855,0.00060898345,0.000098974066,0.00026150479,0.00035554057],"domain_scores_gemma":[0.99802256,0.0003024316,0.0004199654,0.00029818589,0.00035177232,0.0006050598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035765892,0.00018586763,0.0004040422,0.00021691268,0.00011787187,0.00007211112,0.00040704236,0.00013353277,0.0005140021],"category_scores_gemma":[0.0017100711,0.00015177435,0.00015454009,0.00024868952,0.00006623966,0.00013330622,0.000014606026,0.0002794657,0.000024676425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057621353,0.00043389082,0.012640784,0.0004072342,0.00078655384,0.0016622586,0.01813973,0.00010414575,0.0013259214,0.9316645,0.030519022,0.0022583115],"study_design_scores_gemma":[0.0009393986,0.00016708446,0.00059725775,0.00022771643,0.00011801681,0.0009533196,0.0012827778,0.0002718902,0.00040103743,0.9882968,0.0064239497,0.0003207707],"about_ca_topic_score_codex":0.00031607223,"about_ca_topic_score_gemma":0.003796583,"teacher_disagreement_score":0.05663225,"about_ca_system_score_codex":0.00014463202,"about_ca_system_score_gemma":0.00072769355,"threshold_uncertainty_score":0.6189178},"labels":[],"label_agreement":null},{"id":"W2074917859","doi":"10.1016/j.jalgebra.2013.03.022","title":"The classification of uniserial<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"fraktur\">sl</mml:mi></mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">)</mml:mo><mml:mo>⋉</mml:mo><mml:mi>V</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-modules and a new interpretation of the Racah–Wigner 6 j -symbol","year":2013,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Lie algebra; Generality; Algebra over a field; Pure mathematics; Psychology","score_opus":0.01690025181526725,"score_gpt":0.23959501761422627,"score_spread":0.22269476579895903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074917859","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96552926,0.004448489,0.001881342,0.0023108362,0.0071046078,0.00037447346,0.0010169244,0.00045187326,0.016882202],"genre_scores_gemma":[0.9812313,0.0038529295,0.0037565923,0.0017055754,0.0052111307,0.0013222733,0.00086236943,0.001844703,0.00021316523],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.97550654,0.0019238585,0.007061851,0.0037534442,0.0069318507,0.004822473],"domain_scores_gemma":[0.97579116,0.0050814557,0.010489991,0.0044780853,0.0013536003,0.0028057073],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0055871853,0.0027911556,0.0016584682,0.0014888374,0.0036947136,0.0043543754,0.006488859,0.0059478786,0.025355186],"category_scores_gemma":[0.0056451857,0.004087335,0.0050498256,0.0028367192,0.0040609883,0.0040968754,0.0042200205,0.005229067,0.0012084666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004444256,0.0010547919,0.00004623432,0.0023948515,0.005805474,0.0006589536,0.006994841,0.0026482628,0.0065947114,0.8472534,0.112831436,0.0092728175],"study_design_scores_gemma":[0.0077789794,0.005690752,0.00030259212,0.0054309797,0.00718727,0.0036310335,0.012242391,0.052056503,0.7067881,0.19121069,0.00299178,0.004688906],"about_ca_topic_score_codex":0.0039569917,"about_ca_topic_score_gemma":0.0018314252,"teacher_disagreement_score":0.7001934,"about_ca_system_score_codex":0.00013414165,"about_ca_system_score_gemma":0.00418885,"threshold_uncertainty_score":0.99956924},"labels":[],"label_agreement":null},{"id":"W2075002921","doi":"10.1007/s10801-014-0555-0","title":"The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials","year":2014,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; Université de Montréal","funders":"Ministero dell’Istruzione, dell’Università e della Ricerca; Agence Nationale de la Recherche; Centre de Recherches Mathématiques","keywords":"Mathematics; Partition function (quantum field theory); Combinatorics; Vertex model; Graph partition; Vertex (graph theory); Partition (number theory); Macdonald polynomials; Schur polynomial; Polynomial; Discrete mathematics; Orthogonal polynomials; Difference polynomials; Mathematical analysis; Graph; Physics; Quantum mechanics","score_opus":0.01264675994801379,"score_gpt":0.25512816361474533,"score_spread":0.24248140366673154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075002921","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99139875,0.000496662,0.0027647864,0.0031105888,0.001384868,0.00024103909,0.0000044466224,0.0000141296905,0.0005847387],"genre_scores_gemma":[0.99839175,0.00008439894,0.00063471025,0.00025647233,0.00012658801,0.0000049805326,8.5014216e-7,0.000036120524,0.00046411806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997987,0.00020805087,0.00072536495,0.00015006968,0.00068668294,0.00024284108],"domain_scores_gemma":[0.9974728,0.00056272803,0.0010265844,0.00042654722,0.00039777847,0.0001135449],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007437019,0.00022182114,0.00042476848,0.000073403804,0.00045359557,0.00010144448,0.00050880766,0.00012526487,0.000017894647],"category_scores_gemma":[0.00020266892,0.0001173655,0.0001643924,0.00027473058,0.00027759417,0.00016476306,0.00011659067,0.00033146993,4.0279298e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060592345,0.00007262991,0.00046547555,0.00003370639,0.00011585736,0.0000011780484,0.00022628524,0.00012708826,0.00023959023,0.9945054,0.0040013813,0.00015079534],"study_design_scores_gemma":[0.0014751728,0.00024674513,0.0024234897,0.000083398234,0.00013881738,0.00005785415,0.00004406435,0.0015492437,0.0003866456,0.99112266,0.0023176628,0.00015422802],"about_ca_topic_score_codex":0.000009045245,"about_ca_topic_score_gemma":0.000008542116,"teacher_disagreement_score":0.0069930204,"about_ca_system_score_codex":0.000095569354,"about_ca_system_score_gemma":0.00022597864,"threshold_uncertainty_score":0.4786026},"labels":[],"label_agreement":null},{"id":"W2075241845","doi":"10.1016/j.jalgebra.2006.04.003","title":"On tensor spaces over Hecke algebras of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi>B</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math>","year":2006,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Victoria University; University of Victoria","keywords":"Mathematics; Type (biology); Hecke algebra; Basis (linear algebra); Tensor product; Combinatorics; Tensor (intrinsic definition); Algebra over a field; Pure mathematics; Geometry","score_opus":0.016970099565694886,"score_gpt":0.2473632548965138,"score_spread":0.23039315533081892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075241845","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96446085,0.0019359735,0.00023078766,0.00067496067,0.004964014,0.00008271489,0.00008987103,0.00009507693,0.027465725],"genre_scores_gemma":[0.9920571,0.0007853662,0.001964073,0.0009610093,0.0031991873,0.00005574854,0.0000720515,0.00049303204,0.00041245372],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.991861,0.0003211979,0.0024652828,0.00097428163,0.0028003627,0.0015778678],"domain_scores_gemma":[0.9920618,0.0014353453,0.003676223,0.0016781716,0.00042402447,0.00072445365],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014985409,0.00090498093,0.0007726131,0.00052407524,0.0008129948,0.00080022396,0.0016548373,0.0016969958,0.021517025],"category_scores_gemma":[0.0013901363,0.0012193733,0.0018268735,0.00086113,0.00073661614,0.0009971003,0.00080232526,0.001820659,0.0009350246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017335122,0.00054503605,0.000051156618,0.0008078755,0.0014810652,0.0008019296,0.0010911734,0.0008895665,0.0016033046,0.87506604,0.115430884,0.0004984416],"study_design_scores_gemma":[0.007866746,0.0077054636,0.00067913736,0.004131332,0.004004898,0.0030000082,0.0023282454,0.024989346,0.59622484,0.34013206,0.005992433,0.0029454664],"about_ca_topic_score_codex":0.0007177717,"about_ca_topic_score_gemma":0.00020289449,"teacher_disagreement_score":0.59462154,"about_ca_system_score_codex":0.0000536179,"about_ca_system_score_gemma":0.001294219,"threshold_uncertainty_score":0.9998429},"labels":[],"label_agreement":null},{"id":"W2076892385","doi":"10.4153/cjm-2007-014-1","title":"Endomorphism Rings of Finite Global Dimension","year":2007,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Noncommutative geometry; Global dimension; Gravitational singularity; Pure mathematics; Dimension (graph theory); Local ring; Resolution (logic); Resolution of singularities; Ring (chemistry); Endomorphism ring; Commutative property; Noncommutative algebraic geometry; Endomorphism; Mathematical analysis; Noncommutative quantum field theory","score_opus":0.0273743629389653,"score_gpt":0.2727231889609432,"score_spread":0.2453488260219779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076892385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97985137,0.00025109507,0.0164125,0.00009041767,0.0008879338,0.00010963528,0.000009801438,0.000006976165,0.0023802982],"genre_scores_gemma":[0.9777,0.0000049106197,0.022025425,0.000045463457,0.00014970258,2.6706323e-7,3.5886038e-7,0.00001820821,0.00005568337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984315,0.000019975876,0.0008274976,0.00007711511,0.000334599,0.00030933192],"domain_scores_gemma":[0.9977824,0.00047490423,0.0007189594,0.00023866673,0.00032814554,0.00045694385],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084553094,0.00014822796,0.0004280182,0.00014825197,0.00006716172,0.00001980231,0.0003053518,0.00011731483,0.00010317952],"category_scores_gemma":[0.0010505319,0.00012377377,0.00016963237,0.00019514277,0.00009418162,0.00007887418,0.000019340638,0.00017872182,0.000003936165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015706413,0.00005223433,0.0011856601,0.00015761195,0.00009843097,0.00017088548,0.0017346626,0.000028339566,0.00012139019,0.99428177,0.0014844118,0.0006688811],"study_design_scores_gemma":[0.00061136537,0.00012266898,0.00036088596,0.00023229474,0.000087621396,0.00031370096,0.000583854,0.00006594268,0.001447767,0.9954346,0.0006073405,0.00013200004],"about_ca_topic_score_codex":0.0003088707,"about_ca_topic_score_gemma":0.0015530555,"teacher_disagreement_score":0.0056129247,"about_ca_system_score_codex":0.00016584995,"about_ca_system_score_gemma":0.0004376933,"threshold_uncertainty_score":0.5047348},"labels":[],"label_agreement":null},{"id":"W2077759378","doi":"10.1016/j.jalgebra.2007.09.002","title":"Indecomposable representations for real roots of a wild quiver","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Indecomposable module; Mathematics; Isomorphism (crystallography); Pure mathematics; Dimension (graph theory); Endomorphism; Representation (politics); Tree (set theory); Algebra over a field; Combinatorics","score_opus":0.03498810731059644,"score_gpt":0.3482432645859451,"score_spread":0.3132551572753487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077759378","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9827794,0.00007149766,0.014185872,0.00016160398,0.00075515336,0.00017011714,0.000003371422,0.000009121189,0.0018638909],"genre_scores_gemma":[0.983554,0.000017103985,0.015756704,0.000033230295,0.00042954687,0.0000013520299,7.543005e-7,0.000018204371,0.00018910418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986624,0.000023278915,0.0007114292,0.000088905996,0.00032570597,0.00018825845],"domain_scores_gemma":[0.9979975,0.0006201047,0.00071973505,0.00018717398,0.00037983365,0.00009560382],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067373953,0.00009871399,0.00032361344,0.00013713192,0.000057990143,0.00001593441,0.00021783469,0.000088880326,0.000058921436],"category_scores_gemma":[0.0003225688,0.00008007791,0.00022709391,0.00014103838,0.000039867697,0.000166444,0.00003266177,0.0001461332,7.15814e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040369504,0.00017156271,0.0020860988,0.000070323,0.0002114433,0.000012171512,0.00080504036,0.000030913725,0.0021799246,0.9844892,0.008457432,0.0010821796],"study_design_scores_gemma":[0.0012896038,0.0002973337,0.0055997972,0.000053445554,0.00008988719,0.00004999037,0.0003259785,0.000028445338,0.006382108,0.98533195,0.00046314506,0.0000883202],"about_ca_topic_score_codex":0.000021740303,"about_ca_topic_score_gemma":0.0000138579835,"teacher_disagreement_score":0.007994287,"about_ca_system_score_codex":0.000044997138,"about_ca_system_score_gemma":0.0000919074,"threshold_uncertainty_score":0.32654825},"labels":[],"label_agreement":null},{"id":"W2077980425","doi":"10.1007/s00208-013-0984-4","title":"Webs and quantum skew Howe duality","year":2014,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":109,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Diagrammatic reasoning; Subcategory; Categorical quantum mechanics; Representation (politics); Duality (order theory); Skew; Algebra over a field; Quantum","score_opus":0.04167855287931222,"score_gpt":0.30313569031656207,"score_spread":0.26145713743724985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077980425","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9753133,0.00023966233,0.012203619,0.0011651942,0.00026402678,0.0002778609,0.000005835948,0.00020403991,0.010326427],"genre_scores_gemma":[0.9922162,0.000026515241,0.0059508746,0.00025541813,0.00023899532,0.000025325038,0.0000022985687,0.00004202058,0.0012423086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986199,0.000113958995,0.00034309513,0.00031339467,0.00030488882,0.00030475637],"domain_scores_gemma":[0.9987085,0.000401624,0.00016529555,0.0005254128,0.00006531417,0.00013389392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006405412,0.00023254642,0.0004057698,0.00004975556,0.00014319367,0.00007969455,0.00022928104,0.00013255447,0.00020926636],"category_scores_gemma":[0.0004389592,0.00018632032,0.00009232478,0.00009708288,0.00008130093,0.00013481037,0.00013936542,0.00017713965,0.00005929011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008515304,0.000042039075,0.00016514216,0.00019810515,0.00003711753,0.0000014500254,0.00061884755,1.509791e-7,0.00006462351,0.9907812,0.00693574,0.0011470611],"study_design_scores_gemma":[0.00038511283,0.00006542683,0.0005986285,0.000067054105,0.000042732325,0.000024352983,0.000060301863,0.00058328337,0.00040280793,0.98860407,0.00892518,0.00024102784],"about_ca_topic_score_codex":0.000011771475,"about_ca_topic_score_gemma":0.000004217033,"teacher_disagreement_score":0.01690291,"about_ca_system_score_codex":0.0000113144015,"about_ca_system_score_gemma":0.000017873539,"threshold_uncertainty_score":0.7597922},"labels":[],"label_agreement":null},{"id":"W2077987989","doi":"10.1090/s0002-9947-2014-05994-1","title":"Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type 𝐵𝐶","year":2014,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Pure mathematics; Type (biology); Functor; Affine transformation; Quantum; Reflection (computer programming); Connection (principal bundle); Quantum affine algebra; Loop (graph theory); Quantum group; Hecke algebra; Algebra over a field; Combinatorics; Algebra representation; Cellular algebra; Geometry; Physics; Quantum mechanics","score_opus":0.020613397114608,"score_gpt":0.2747492907603619,"score_spread":0.2541358936457539,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077987989","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9244777,0.000053649837,0.073768795,0.00056919525,0.00017333312,0.000340009,0.000014418696,0.00008177059,0.0005211291],"genre_scores_gemma":[0.98563033,0.00003102498,0.013748626,0.00012657374,0.000042614036,0.000011828618,0.0000013319784,0.000045324665,0.00036231976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820036,0.00014079893,0.00064005615,0.00027141903,0.00044279083,0.000304581],"domain_scores_gemma":[0.9977112,0.00079417985,0.0004852392,0.00072811055,0.0001626044,0.00011865881],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000368465,0.00026868607,0.0007931646,0.00003313681,0.00014562736,0.000017853976,0.00042860446,0.00010792378,0.00026475784],"category_scores_gemma":[0.00024851933,0.00018831308,0.00047418146,0.0006134536,0.000997765,0.00006722737,0.000046261554,0.00027788818,0.0000067354217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010399896,0.00057803036,0.00015306505,0.0008286337,0.0005967054,2.585756e-7,0.0022293497,0.00004445177,0.005056455,0.9864504,0.00092419377,0.0030344676],"study_design_scores_gemma":[0.0007216153,0.00034190886,0.0007606272,0.00013994984,0.0004411376,0.000016467338,0.0010519784,0.00760312,0.0038414537,0.9846427,0.00014683747,0.00029223383],"about_ca_topic_score_codex":0.00008627577,"about_ca_topic_score_gemma":0.0000041565017,"teacher_disagreement_score":0.06115266,"about_ca_system_score_codex":0.00003972658,"about_ca_system_score_gemma":0.00005204107,"threshold_uncertainty_score":0.76791847},"labels":[],"label_agreement":null},{"id":"W2078661490","doi":"10.1007/s00222-009-0227-1","title":"Categorical geometric skew Howe duality","year":2009,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Categorification; Tensor product; Skew; Isomorphism (crystallography); Equivalence of categories; Equivalence (formal languages); Categorical variable; Affine transformation; Functor; Duality (order theory)","score_opus":0.07262711464774325,"score_gpt":0.3444421205095189,"score_spread":0.27181500586177565,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078661490","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86394763,0.00035861644,0.10851804,0.0026668995,0.0012662133,0.0009148448,0.0000070111955,0.00075733283,0.02156339],"genre_scores_gemma":[0.991122,0.000010752943,0.0071453443,0.00016800778,0.00023584344,0.0000232707,0.0000049158552,0.000024958987,0.0012648702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980483,0.00008299092,0.0006149048,0.00032230926,0.0005568314,0.0003746704],"domain_scores_gemma":[0.9985827,0.00030320152,0.00023866114,0.00060015416,0.00011764665,0.00015759497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047942228,0.00025248778,0.00045735165,0.00019860653,0.00016733899,0.000086689884,0.00033912045,0.00015753265,0.0005649415],"category_scores_gemma":[0.0007163763,0.00020841073,0.00026402366,0.0006993861,0.00005561007,0.00016371714,0.00006299065,0.00019853232,0.00016610618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007928777,0.00031141078,0.000027021842,0.00009273921,0.00003194152,0.0000076070673,0.00020125826,5.821663e-7,0.000033864228,0.9942707,0.0035004748,0.0015144994],"study_design_scores_gemma":[0.00042133685,0.000091678055,0.00084993633,0.00003543658,0.00006866401,0.00004075427,0.000050465445,0.00010029225,0.00034605706,0.99725974,0.00048738727,0.0002482779],"about_ca_topic_score_codex":0.0000063173734,"about_ca_topic_score_gemma":0.0000010032483,"teacher_disagreement_score":0.12717439,"about_ca_system_score_codex":0.00007432612,"about_ca_system_score_gemma":0.000034670185,"threshold_uncertainty_score":0.84987426},"labels":[],"label_agreement":null},{"id":"W2079096409","doi":"10.1016/j.physletb.2007.10.007","title":"From percolation to logarithmic conformal field theory","year":2007,"lang":"en","type":"article","venue":"Physics Letters B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":97,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Logarithm; Conformal anomaly; Conformal field theory; Conformal map; Conformal symmetry; Mathematics; Fusion rules; Field (mathematics); Field theory (psychology); Percolation theory; Mathematical physics; Theoretical physics; Physics; Pure mathematics; Mathematical analysis; Combinatorics; Computer science; Topology (electrical circuits)","score_opus":0.019715838186687432,"score_gpt":0.2882666614527643,"score_spread":0.2685508232660769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079096409","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.689506,0.0000027725016,0.3082998,0.0005491466,0.00047293436,0.00011917548,0.000002139918,0.000041768963,0.0010062604],"genre_scores_gemma":[0.9904065,1.8756289e-7,0.0032052137,0.0050905044,0.0012355121,0.0000049016303,0.000005378346,0.000015423355,0.000036343474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931824,0.000017707258,0.00015337116,0.00013965536,0.00017317402,0.00019785578],"domain_scores_gemma":[0.99920756,0.00043918335,0.00005027452,0.00021791957,0.0000258099,0.00005926318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016096799,0.000106851054,0.00012585532,0.000022183254,0.000063462336,0.000028206121,0.0001403889,0.000050577622,0.00007316876],"category_scores_gemma":[0.00005264352,0.000099586956,0.0000606827,0.00007179581,0.000014003308,0.000103153645,0.00004762511,0.00012914387,0.000032727334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000077383665,0.000021420385,0.00013685455,0.0000071400777,0.000034800574,0.000003735875,0.002420064,0.000019410478,0.008879136,0.9758392,0.0035467064,0.009014155],"study_design_scores_gemma":[0.00024081027,0.000028940778,0.000390953,0.000010647656,0.000019481182,5.4481023e-7,0.00011238494,0.00006844498,0.013014646,0.98556566,0.0004044593,0.00014303817],"about_ca_topic_score_codex":0.000060130315,"about_ca_topic_score_gemma":0.0000037416728,"teacher_disagreement_score":0.30509457,"about_ca_system_score_codex":0.0000332614,"about_ca_system_score_gemma":0.000008460966,"threshold_uncertainty_score":0.40610382},"labels":[],"label_agreement":null},{"id":"W2079429755","doi":"10.1006/aima.2000.1964","title":"Hall–Littlewood Vertex Operators and Generalized Kostka Polynomials","year":2001,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Macdonald polynomials; Orthogonal polynomials; Pure mathematics; Classical orthogonal polynomials; Vertex (graph theory); Symmetric function; Discrete orthogonal polynomials; Operator theory; Ring of symmetric functions; Algebra over a field; Combinatorics; Graph","score_opus":0.02185145110787209,"score_gpt":0.31089846121743286,"score_spread":0.2890470101095608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079429755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9844552,0.0035787697,0.002024806,0.00022466174,0.00070582086,0.0004601832,0.0000045367706,0.00010832409,0.008437649],"genre_scores_gemma":[0.9560498,0.0028644218,0.039989594,0.00017922238,0.00015565642,0.00005637106,0.000002692891,0.00006690668,0.0006353095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984091,0.000057517955,0.0005715056,0.00031056078,0.00028095083,0.00037036807],"domain_scores_gemma":[0.9987748,0.00047069901,0.00016648695,0.00043515486,0.0000494879,0.000103364204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000298365,0.00027792662,0.00053506834,0.00009741699,0.00009494863,0.00006116139,0.0002724576,0.00013147651,0.000151582],"category_scores_gemma":[0.00040896473,0.00023319914,0.00006719847,0.00022902299,0.00009575081,0.00033539737,0.000116343166,0.0001712509,0.0000109679195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021323705,0.000119592274,0.00053314195,0.00014739782,0.000022627919,0.00001799553,0.0010550697,0.000046372083,0.000098624456,0.99463946,0.0001977857,0.0031006003],"study_design_scores_gemma":[0.0010306904,0.000044818076,0.00006404282,0.00011006529,0.000027943583,0.00004649247,0.00040109194,0.0012167643,0.00030064397,0.99316883,0.0032997073,0.0002888966],"about_ca_topic_score_codex":0.00001332069,"about_ca_topic_score_gemma":0.0000334628,"teacher_disagreement_score":0.037964787,"about_ca_system_score_codex":0.00005493628,"about_ca_system_score_gemma":0.00003033407,"threshold_uncertainty_score":0.9509585},"labels":[],"label_agreement":null},{"id":"W2079695832","doi":"10.1016/j.topol.2014.03.006","title":"Equivariant cohomology of cohomogeneity one actions","year":2014,"lang":"en","type":"preprint","venue":"Topology and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Rank (graph theory); Lie group; Cohomology; Equivariant cohomology; Pure mathematics; Action (physics); Equivariant map; Manifold (fluid mechanics); Group (periodic table); Combinatorics; Physics","score_opus":0.08558321141943494,"score_gpt":0.3525786146198749,"score_spread":0.26699540320043996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079695832","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78828806,0.0022231874,0.1798584,0.0042196224,0.0016921196,0.0032757907,0.00029813347,0.00029577056,0.019848898],"genre_scores_gemma":[0.99637985,0.00021491043,0.0021575107,0.00008361814,0.00032897913,0.0004600531,0.000041185074,0.000020400576,0.0003134985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879646,0.00010339077,0.00041226702,0.00039440655,0.00009568972,0.00019778666],"domain_scores_gemma":[0.99833226,0.00044848947,0.00037322135,0.0006177198,0.00015027166,0.00007805872],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019847266,0.00019584861,0.00054736383,0.000079085745,0.0001728497,0.000008528249,0.0002993427,0.0006128613,0.00024393533],"category_scores_gemma":[0.0001160457,0.0001946682,0.00008805976,0.00006796013,0.00025876926,0.000016892847,0.00048055683,0.00043896056,0.000009347923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010747628,0.00010246894,0.000040359806,0.00016293913,0.00013513135,1.8245144e-7,0.000087178014,0.0000104888695,0.00025916606,0.9984994,0.0002441821,0.00044777596],"study_design_scores_gemma":[0.00021381663,0.00004440536,0.00034475647,0.000016570004,0.00022131701,0.000012838437,0.0000189573,0.00014543078,0.0009796905,0.9951816,0.0026565937,0.0001640027],"about_ca_topic_score_codex":0.000055645087,"about_ca_topic_score_gemma":0.000021468115,"teacher_disagreement_score":0.20809177,"about_ca_system_score_codex":0.00002398058,"about_ca_system_score_gemma":0.00009827836,"threshold_uncertainty_score":0.79383385},"labels":[],"label_agreement":null},{"id":"W2080369519","doi":"10.1007/s00209-013-1267-1","title":"Free subalgebras of division algebras over uncountable fields","year":2014,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Uncountable set; Mathematics; Division (mathematics); Pure mathematics; Discrete mathematics; Algebra over a field; Arithmetic; Countable set","score_opus":0.018276364586028562,"score_gpt":0.2722030177665148,"score_spread":0.25392665318048624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2080369519","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8820918,0.00020119917,0.061960757,0.00018854985,0.00088169175,0.0004658613,0.000022666805,0.00023652245,0.053950924],"genre_scores_gemma":[0.99066263,0.000009033186,0.008120631,0.00013869097,0.00021482284,0.000027664159,0.0000059106237,0.0000754356,0.00074517855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997452,0.00012346717,0.0007578166,0.00043005304,0.0007679482,0.00046867886],"domain_scores_gemma":[0.99697655,0.00087998953,0.00041481366,0.0014365391,0.00014437981,0.00014774213],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00075508555,0.00037850116,0.00074271223,0.000121840836,0.0001460694,0.000062189574,0.0008465158,0.00032432878,0.0012453184],"category_scores_gemma":[0.0012502118,0.00030580474,0.00024450442,0.00027734306,0.000097918106,0.00025284293,0.00041319118,0.00031632974,0.000041109673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016533191,0.00011622988,0.0005990638,0.00028652206,0.0000672625,0.0000013119633,0.00048020453,0.000009237551,0.0004153564,0.98703265,0.010243339,0.00073230645],"study_design_scores_gemma":[0.0011537051,0.00015542195,0.0007101503,0.00017610016,0.000080770034,0.0000075029543,0.000054477652,0.00060555915,0.008706203,0.9827862,0.005191258,0.00037266946],"about_ca_topic_score_codex":0.00010668918,"about_ca_topic_score_gemma":0.000031704818,"teacher_disagreement_score":0.10857081,"about_ca_system_score_codex":0.000007670397,"about_ca_system_score_gemma":0.000048538557,"threshold_uncertainty_score":0.9999394},"labels":[],"label_agreement":null},{"id":"W2081003861","doi":"10.1007/s11464-015-0426-6","title":"A relation between tilting graphs and cluster-tilting graphs of hereditary algebras","year":2015,"lang":"en","type":"article","venue":"Frontiers of Mathematics in China","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Combinatorics; Graph; Cluster algebra; Polytope; Discrete mathematics","score_opus":0.0320362942084768,"score_gpt":0.27596485041900914,"score_spread":0.24392855621053233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081003861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99009097,0.0005937413,0.0070408676,0.000059771508,0.00059467606,0.00037446452,0.000007880388,0.000044339038,0.0011932983],"genre_scores_gemma":[0.8726548,0.000014361205,0.12719761,0.0000049519335,0.00004741433,0.0000074333693,0.000005260248,0.000038346203,0.000029829573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794346,0.00009255826,0.0009692466,0.00024882107,0.0004857277,0.00026017672],"domain_scores_gemma":[0.99827206,0.00040069094,0.0007124875,0.00040552285,0.00009982527,0.00010940106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011822444,0.00024361825,0.0007416479,0.00028480816,0.00005146974,0.000016260507,0.00028596327,0.00021194527,0.0000031093336],"category_scores_gemma":[0.001019173,0.0002246668,0.00011922457,0.00030926903,0.0001455723,0.00018977164,0.00016889899,0.00027260536,3.683808e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006115026,0.00029059255,0.10994443,0.0014729698,0.00026947542,0.000006633785,0.025853615,0.00008740097,0.000047576093,0.8544795,0.0057529,0.001733733],"study_design_scores_gemma":[0.001099638,0.000105666535,0.0041591697,0.00029398027,0.00009450938,0.000007088291,0.0025796443,0.0029244476,0.00025825977,0.98827213,0.0000069751236,0.00019848923],"about_ca_topic_score_codex":0.00006190734,"about_ca_topic_score_gemma":0.000008099705,"teacher_disagreement_score":0.13379261,"about_ca_system_score_codex":0.000045985038,"about_ca_system_score_gemma":0.000047143825,"threshold_uncertainty_score":0.91616464},"labels":[],"label_agreement":null},{"id":"W2081124889","doi":"10.1016/j.geomphys.2010.09.014","title":"The homogeneous coordinate ring of the quantum projective plane","year":2010,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Holomorphic function; Mathematics; Projective plane; Pure mathematics; Projective space; Ring (chemistry); Complex projective space; Homogeneous coordinates; Affine plane (incidence geometry); Quantum; Homogeneous; Projective line; Plane (geometry); Collineation; Quaternionic projective space; Line at infinity; Projective test; Geometry; Plane curve; Physics; Combinatorics; Quantum mechanics","score_opus":0.014677546655627266,"score_gpt":0.26270750771996604,"score_spread":0.24802996106433878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081124889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9978801,0.00012893592,0.0003519527,0.00010628823,0.0012231319,0.00007439536,0.0000030560723,0.0000025165523,0.00022959636],"genre_scores_gemma":[0.99933463,0.00002826766,0.00013473596,0.000011874833,0.00042871034,6.3005064e-7,6.016132e-8,0.000008064857,0.00005303592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99933565,0.000038804596,0.00024088782,0.00005339115,0.00022193755,0.000109323315],"domain_scores_gemma":[0.998742,0.00045052858,0.0004501805,0.00017109545,0.00015331761,0.000032915024],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032179343,0.00008311853,0.00018525051,0.000015637002,0.00018747973,0.000028415723,0.00023576016,0.000049709735,0.000003468189],"category_scores_gemma":[0.00019295693,0.000039953262,0.00010360207,0.00016673036,0.00010298414,0.00005691542,0.00006504956,0.00041806596,1.5955462e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010056218,0.00007245721,0.0012456968,0.00005179408,0.00017340662,0.0000036526467,0.0007613139,0.00003066348,0.002976062,0.98657095,0.00023897257,0.007774448],"study_design_scores_gemma":[0.00030027327,0.000115967465,0.0013797197,0.00002954049,0.000057354682,0.00009010543,0.00015783009,0.00012634974,0.009248874,0.98800766,0.00042701402,0.000059282218],"about_ca_topic_score_codex":0.000006279748,"about_ca_topic_score_gemma":0.0000027140552,"teacher_disagreement_score":0.0077151656,"about_ca_system_score_codex":0.00000689621,"about_ca_system_score_gemma":0.000047727972,"threshold_uncertainty_score":0.18163118},"labels":[],"label_agreement":null},{"id":"W2081138116","doi":"10.1080/00927870802467155","title":"Lie Bialgebra Structures on the <i>q</i>-Analog Virasoro-Like Algebras","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Science and Technology of China; Memorial University of Newfoundland; National Science Foundation","keywords":"Mathematics; Pure mathematics; Bialgebra; Algebra over a field; Virasoro algebra; Lie algebra; Hopf algebra; Algebra representation; Cellular algebra","score_opus":0.08281401287221273,"score_gpt":0.3395499105293374,"score_spread":0.2567358976571247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081138116","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93072605,0.0018230956,0.0005319761,0.024519095,0.0008996443,0.0015278268,0.000017522932,0.00047327322,0.03948149],"genre_scores_gemma":[0.99157566,0.00025596362,0.0030698876,0.004568562,0.00015291205,0.00008356613,0.000021645339,0.000048778278,0.00022301349],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972546,0.00052031904,0.00074754737,0.000449607,0.0005068409,0.00052107347],"domain_scores_gemma":[0.9927335,0.0019172367,0.00028281144,0.004838285,0.000111132096,0.000117080206],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00066305883,0.0004160578,0.0004725508,0.00023204139,0.0006188947,0.00017039658,0.0033801526,0.0002533735,0.00028934708],"category_scores_gemma":[0.00077685254,0.0003032833,0.00022300943,0.0008171549,0.00033820007,0.00017055223,0.00043506635,0.0010087542,0.000079835656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024677838,0.0001900445,0.00012523186,0.0000055189394,0.000039055987,0.0000023164728,0.00047638261,0.000010146703,0.00007454155,0.9885985,0.007314905,0.0031386635],"study_design_scores_gemma":[0.0005028198,0.00012201751,0.0034844421,0.00005411555,0.000042175892,0.00000918901,0.0001830653,0.00019611108,0.00032237204,0.98937047,0.005365955,0.0003472747],"about_ca_topic_score_codex":0.000039399776,"about_ca_topic_score_gemma":0.00008434289,"teacher_disagreement_score":0.060849596,"about_ca_system_score_codex":0.00014985958,"about_ca_system_score_gemma":0.00010709017,"threshold_uncertainty_score":0.99994195},"labels":[],"label_agreement":null},{"id":"W2081237659","doi":"10.1016/j.jalgebra.2007.05.001","title":"Invariants of modular groups","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Polynomial ring; Group ring; Invariant (physics); Invariant theory; Pure mathematics; Principal ideal ring; Invariant polynomial; Abelian group; Quotient; Quotient ring; Affine transformation; Combinatorics; Discrete mathematics; Representation theory; Polynomial; Group (periodic table); Matrix polynomial; Mathematical analysis","score_opus":0.02768213544460218,"score_gpt":0.29848015132163136,"score_spread":0.2707980158770292,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081237659","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9834837,0.00018814811,0.014173703,0.00008273931,0.0009883507,0.00006053306,6.9184966e-7,0.0000075040302,0.0010146404],"genre_scores_gemma":[0.9936792,0.000015334997,0.0057297363,0.000056592704,0.00045359827,1.7508675e-7,1.5295072e-7,0.000018001689,0.00004720319],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848235,0.000032025728,0.0007516213,0.00007667639,0.00046704983,0.00019030992],"domain_scores_gemma":[0.9984738,0.00024186214,0.000718147,0.00020373058,0.00025147575,0.00011097875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094522204,0.00011249188,0.00036855933,0.00014023493,0.000032445296,0.000012708172,0.00029163886,0.00010291504,0.00011748547],"category_scores_gemma":[0.00035909557,0.00008632094,0.00018661564,0.0001624601,0.00004088842,0.00015556357,0.000046503716,0.00022356331,0.0000021317385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012173841,0.000107230255,0.0004955211,0.000041542356,0.00012668008,0.00005458403,0.0005287161,0.000006787569,0.0028365143,0.99358195,0.00077917747,0.0013195768],"study_design_scores_gemma":[0.0007587103,0.00021778586,0.0032835077,0.00006054563,0.000055855653,0.00012732617,0.00015460503,0.0000150182495,0.009497615,0.98555684,0.00018321091,0.000088996974],"about_ca_topic_score_codex":0.0000040102705,"about_ca_topic_score_gemma":0.0000018201918,"teacher_disagreement_score":0.010195515,"about_ca_system_score_codex":0.000036651403,"about_ca_system_score_gemma":0.000059738944,"threshold_uncertainty_score":0.35200658},"labels":[],"label_agreement":null},{"id":"W2081250624","doi":"10.1112/jlms/jdm093","title":"Constructions for chiral polytopes","year":2007,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Coxeter group; Polytope; Combinatorics; Rank (graph theory); Mathematics; Dual (grammatical number); Group (periodic table); Automorphism; Physics","score_opus":0.029187502815109862,"score_gpt":0.3146025626534054,"score_spread":0.28541505983829557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081250624","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73894453,0.00014518468,0.2535657,0.002283419,0.0021443448,0.00053238834,0.0000062464246,0.000035412013,0.0023427678],"genre_scores_gemma":[0.829903,0.0000095605865,0.1674772,0.00037536083,0.0011453587,0.0000042513484,1.7043223e-7,0.00003567131,0.001049413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985304,0.000027348902,0.00067769014,0.00008785821,0.00040575824,0.0002709328],"domain_scores_gemma":[0.99794334,0.0010051767,0.00051137334,0.00023787507,0.00019600832,0.000106205705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011041764,0.0001397632,0.0003561662,0.00001916583,0.00022678777,0.000039242404,0.0004036486,0.0001285363,0.00007520182],"category_scores_gemma":[0.0006832471,0.00007755816,0.0009553961,0.00013513207,0.00015610285,0.000088070374,0.00007370347,0.00031031604,0.0000017439108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035429446,0.00008318247,0.00006281269,0.000085278334,0.00013871612,5.9305444e-7,0.00057037885,0.0000028638021,0.00029253942,0.99204355,0.0059341923,0.0007504732],"study_design_scores_gemma":[0.0007946969,0.00006695557,0.000093030125,0.000067315144,0.00013609015,0.00017677838,0.0004533996,0.00011171203,0.0024066628,0.99406296,0.0015351258,0.00009527884],"about_ca_topic_score_codex":4.862835e-7,"about_ca_topic_score_gemma":4.956081e-7,"teacher_disagreement_score":0.09095847,"about_ca_system_score_codex":0.00007808907,"about_ca_system_score_gemma":0.00006180172,"threshold_uncertainty_score":0.316273},"labels":[],"label_agreement":null},{"id":"W2081551151","doi":"10.2140/agt.2013.13.2207","title":"Cohomology of Kac–Moody groups over a finite field","year":2013,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Cohomology; Rank (graph theory); Pure mathematics; Étale cohomology; Group cohomology; Algebra over a field; Field (mathematics); Equivariant cohomology; Combinatorics","score_opus":0.01728423490652996,"score_gpt":0.2757247342870978,"score_spread":0.25844049938056785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081551151","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9870716,0.0005216584,0.004259467,0.00084570824,0.0018430348,0.00047965234,0.0000048991246,0.00010045465,0.0048735393],"genre_scores_gemma":[0.9968332,0.000042900556,0.0009996911,0.0008917515,0.00031962228,0.00007665274,0.000006406073,0.00003965916,0.00079009],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99769354,0.00015903138,0.000724552,0.0004623798,0.00031535077,0.00064516],"domain_scores_gemma":[0.99478734,0.003771395,0.0003748367,0.0007371124,0.00017734179,0.00015198825],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00025716424,0.00031108523,0.000774469,0.000764799,0.000093157505,0.00002131237,0.00057796243,0.0004982906,0.008852471],"category_scores_gemma":[0.0023383556,0.00027256945,0.00022440623,0.001387543,0.0002403324,0.00014350064,0.0002889988,0.0003738009,0.00013909211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029878762,0.0001445754,0.00540445,0.0000564,0.00017637663,0.000010613747,0.00024293827,0.0000024916956,0.00012328786,0.9787175,0.010003708,0.00508779],"study_design_scores_gemma":[0.0010168398,0.0006606965,0.008297908,0.000009842203,0.00007289662,0.000037595368,0.00009859433,0.00005641349,0.0010206561,0.9876794,0.0007696626,0.00027946467],"about_ca_topic_score_codex":0.00088123034,"about_ca_topic_score_gemma":0.000024548894,"teacher_disagreement_score":0.00976164,"about_ca_system_score_codex":0.000044617576,"about_ca_system_score_gemma":0.00006791376,"threshold_uncertainty_score":0.99997264},"labels":[],"label_agreement":null},{"id":"W2082042538","doi":"10.1142/s0217732302007338","title":"PURELY AFFINE ELEMENTARY <font>su</font>(N) FUSIONS","year":2002,"lang":"en","type":"article","venue":"Modern Physics Letters A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge; Université de Montréal","funders":"","keywords":"Affine transformation; Conformal map; Affine representation; Lie algebra; Affine Lie algebra; Simple (philosophy); Elementary function; Tensor product; Fusion","score_opus":0.03355645483516703,"score_gpt":0.2488493940096232,"score_spread":0.21529293917445616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082042538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9496676,0.00014981383,0.040714882,0.0054387953,0.0008082557,0.0004547395,0.000019220408,0.00025471603,0.0024919917],"genre_scores_gemma":[0.99231,0.000013289586,0.002129795,0.0037912119,0.0010960217,0.000048486134,0.000014450085,0.00007808025,0.0005186622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982166,0.000048895206,0.00033711435,0.0004163716,0.0004815654,0.00049942813],"domain_scores_gemma":[0.99889123,0.00014146497,0.0001432307,0.0006586689,0.000041803385,0.00012360324],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000070172966,0.00032893373,0.0003617262,0.000044084423,0.00022935696,0.00008152377,0.00039036092,0.00008551053,0.0004856598],"category_scores_gemma":[0.000024787749,0.00030588778,0.0002211386,0.00016111795,0.00005859719,0.00019554995,0.0001707402,0.00030552264,0.0000719688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052402964,0.00080378493,0.00036899766,0.0001072841,0.0003974619,0.000070890645,0.0042344253,0.00051662733,0.034741722,0.75060445,0.17809947,0.030002484],"study_design_scores_gemma":[0.0011438639,0.00006107656,0.00006607626,0.000034346223,0.00010457435,0.000006885047,0.00003006247,0.009204315,0.0012225774,0.9850226,0.0026148953,0.00048870797],"about_ca_topic_score_codex":0.00005003447,"about_ca_topic_score_gemma":0.000008437934,"teacher_disagreement_score":0.23441817,"about_ca_system_score_codex":0.00009270415,"about_ca_system_score_gemma":0.000009868571,"threshold_uncertainty_score":0.9999393},"labels":[],"label_agreement":null},{"id":"W2082817657","doi":"10.1016/j.jpaa.2006.05.016","title":"Some characterisations of supported algebras","year":2006,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Duality (order theory); Injective function; Pure mathematics; Injective module; Finitely-generated abelian group; Projective test; Algebra over a field","score_opus":0.015335581859494695,"score_gpt":0.2496720670075735,"score_spread":0.2343364851480788,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082817657","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9981183,0.00023720897,0.00029553563,0.00029847078,0.00028153017,0.000113463844,0.0000052891005,0.000013096377,0.00063712336],"genre_scores_gemma":[0.99780786,0.00004031031,0.0011013529,0.00007824115,0.00087206933,0.000002759484,0.0000032408618,0.00001958378,0.00007457382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998722,0.000019232715,0.00068205514,0.0001084082,0.00030202122,0.00016628375],"domain_scores_gemma":[0.9988206,0.0001237225,0.00069626153,0.00013854215,0.00014586441,0.00007499851],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021585176,0.00014998023,0.0004268862,0.000118149255,0.0000630631,0.000029319433,0.00015665323,0.000111007896,0.000081829494],"category_scores_gemma":[0.000036267407,0.00011634126,0.00012148007,0.00011697506,0.00006268247,0.00014435225,0.00003663456,0.00019543439,0.0000014550651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037639293,0.00009268523,0.00027583787,0.00004557775,0.00006292692,0.000004692548,0.00017150724,0.0000012600769,0.009816398,0.9869409,0.0021433674,0.00040716148],"study_design_scores_gemma":[0.00075555325,0.000077190656,0.0047275056,0.000024958686,0.000101108766,0.00004784517,0.00011751561,0.0000031808627,0.014840698,0.97892374,0.000262841,0.000117851174],"about_ca_topic_score_codex":0.000004493598,"about_ca_topic_score_gemma":0.0000015213487,"teacher_disagreement_score":0.008017194,"about_ca_system_score_codex":0.000015222129,"about_ca_system_score_gemma":0.000058953337,"threshold_uncertainty_score":0.47442588},"labels":[],"label_agreement":null},{"id":"W2082850757","doi":"10.1016/j.jalgebra.2013.03.024","title":"Weak Bialgebras of fractions","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bialgebra; Mathematics; Monoid; Set (abstract data type); Order (exchange); Group (periodic table); Pure mathematics; Construct (python library); Algebra over a field; Hopf algebra; Computer science","score_opus":0.025264766753235666,"score_gpt":0.28502149268702026,"score_spread":0.25975672593378457,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082850757","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9933897,0.00017399345,0.0014886433,0.0006288358,0.0012862155,0.00012646591,0.0000010383994,0.000014706908,0.0028903636],"genre_scores_gemma":[0.99478793,0.000031809097,0.0043178606,0.00006294369,0.0004927394,0.0000026871303,2.194058e-7,0.000022107106,0.00028169417],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985164,0.000053171487,0.0007458621,0.000086126456,0.00042241107,0.00017606006],"domain_scores_gemma":[0.99800277,0.00033548693,0.0008315695,0.00024191153,0.00046339812,0.00012486179],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022651661,0.00013183762,0.00040249273,0.00015911553,0.00005599111,0.000034288056,0.000294484,0.00010868096,0.0014474484],"category_scores_gemma":[0.0004155593,0.00009900327,0.00025538725,0.00018963995,0.000057903355,0.0003509301,0.000045495857,0.00028773834,0.000026592847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027260254,0.00017038046,0.0006071707,0.00004425174,0.00020098207,0.0000039810225,0.00034265692,0.0000069678345,0.0027024995,0.96817654,0.02551309,0.0022041965],"study_design_scores_gemma":[0.00053029624,0.00019582099,0.0024446263,0.00005564114,0.000071635855,0.00008045225,0.0002677181,0.000017706805,0.0034978336,0.9915338,0.0012017014,0.0001027611],"about_ca_topic_score_codex":0.000029970772,"about_ca_topic_score_gemma":0.0000016634812,"teacher_disagreement_score":0.02431139,"about_ca_system_score_codex":0.000036452704,"about_ca_system_score_gemma":0.000100524834,"threshold_uncertainty_score":0.99946535},"labels":[],"label_agreement":null},{"id":"W2082863928","doi":"10.1007/jhep12(2014)103","title":"Coulomb branch and the moduli space of instantons","year":2014,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":100,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara; Weizmann Institute of Science; National Research Foundation; Science and Technology Facilities Council; Engineering and Physical Sciences Research Council; Institut Périmètre de physique théorique; University of Crete; CERN; National Science Foundation; Imperial College London; Queen Mary University of London; King's College London","keywords":"Instanton; Moduli space; Quiver; Hilbert–Poincaré series; Supersymmetric gauge theory; Coulomb; Gauge theory; Moduli; Gauge group","score_opus":0.010618653369360402,"score_gpt":0.23405786072130383,"score_spread":0.22343920735194342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082863928","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81610584,0.000275376,0.18072122,0.0006520796,0.00077402656,0.00004194998,0.0000018496156,0.0000078441335,0.0014198052],"genre_scores_gemma":[0.99822277,0.000099464254,0.0010090655,0.00006910222,0.000512203,7.45684e-7,1.7897004e-7,0.000014728514,0.00007176435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991328,0.00008521276,0.000315602,0.00006586555,0.00029614894,0.00010438112],"domain_scores_gemma":[0.9986577,0.00041633518,0.0005095911,0.00019870879,0.00017063378,0.000047031932],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024197619,0.00010561686,0.000386085,0.00002161108,0.000056416993,0.00001766043,0.00018313293,0.000048836468,0.0000052155833],"category_scores_gemma":[0.000091257796,0.000061177016,0.000114730494,0.00009005529,0.00014030751,0.00008830999,0.000047018322,0.00013630552,1.2384375e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008705684,0.000033923254,0.000011860023,0.000016476033,0.000076763914,5.28929e-7,0.00023087957,0.00013425236,0.000117297466,0.99701667,0.00027564567,0.001998637],"study_design_scores_gemma":[0.0016802617,0.00009877017,0.000072198876,0.000035443984,0.000075304146,0.000014587024,0.000026696212,0.00028884414,0.0042055515,0.99284214,0.00059291197,0.00006727475],"about_ca_topic_score_codex":0.00004288077,"about_ca_topic_score_gemma":0.0000037020577,"teacher_disagreement_score":0.1821169,"about_ca_system_score_codex":0.0000124069065,"about_ca_system_score_gemma":0.000034553494,"threshold_uncertainty_score":0.24947265},"labels":[],"label_agreement":null},{"id":"W2082892938","doi":"10.1016/j.jpaa.2011.10.034","title":"Algebras determined by their supports","year":2011,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Université de Sherbrooke; Agencia Nacional de Investigación e Innovación","keywords":"Indecomposable module; Mathematics; Algebraically closed field; Pure mathematics; Cohomology; Class (philosophy); Injective function; Injective module; Algebra over a field; Field (mathematics); Group (periodic table); Computer science","score_opus":0.02287204216180136,"score_gpt":0.2413052714192044,"score_spread":0.21843322925740305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082892938","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9947558,0.0002934985,0.0007413876,0.0000773942,0.00039286166,0.0001386357,0.000004847508,0.000023756918,0.003571836],"genre_scores_gemma":[0.99760836,0.000048327474,0.0016817593,0.00021111708,0.0003064717,0.000004309431,0.0000013162354,0.0000322696,0.00010603669],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987367,0.000025907613,0.0005537946,0.00016593088,0.00025728304,0.00026039613],"domain_scores_gemma":[0.9989284,0.00010662344,0.0004863079,0.00020503097,0.00007524062,0.0001983505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029017223,0.00023063623,0.00045661803,0.00007622255,0.00008670969,0.000039763807,0.0002567687,0.00014776865,0.0003020207],"category_scores_gemma":[0.000033345812,0.00015813112,0.00013407644,0.00009187564,0.000066429464,0.00012977616,0.000067226,0.00027900923,0.0000024335566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020705124,0.00019864964,0.0003527511,0.000060523107,0.00023006342,0.000042578715,0.00324168,9.991511e-8,0.00362998,0.9580177,0.02193092,0.012088003],"study_design_scores_gemma":[0.0008002704,0.00018264199,0.00027260423,0.000022768201,0.0000834146,0.00017731106,0.00040834068,0.000001969692,0.01867188,0.9778727,0.00130893,0.00019711412],"about_ca_topic_score_codex":0.0000017146294,"about_ca_topic_score_gemma":0.0000013337377,"teacher_disagreement_score":0.020621989,"about_ca_system_score_codex":0.000016055852,"about_ca_system_score_gemma":0.00004554804,"threshold_uncertainty_score":0.64484},"labels":[],"label_agreement":null},{"id":"W2083019430","doi":"10.1142/s0219498802000082","title":"AUTOMORPHISMS OF TOROIDAL LIE ALGEBRAS AND THEIR CENTRAL QUOTIENTS","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Automorphism; Quotient; Conjugacy class; Pure mathematics; Automorphisms of the symmetric and alternating groups; Lie algebra; Group (periodic table); Algebra over a field; Physics","score_opus":0.027397487840848236,"score_gpt":0.24972560186380183,"score_spread":0.2223281140229536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083019430","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9946955,0.0025940042,0.0015819999,0.0004360677,0.00015731188,0.00022137233,0.000010858011,0.000013020301,0.00028990643],"genre_scores_gemma":[0.9981021,0.00057062163,0.0009443785,0.000053231608,0.00021101112,0.0000071805443,6.7768053e-7,0.00001540024,0.00009536606],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989992,0.000026156087,0.00048688435,0.00012612164,0.0001869943,0.00017466677],"domain_scores_gemma":[0.9989146,0.00017351478,0.0004321389,0.00015315898,0.0001625929,0.00016396702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011321462,0.00014058604,0.00031544841,0.00007582371,0.00010257193,0.000028183227,0.00016903407,0.00008500011,0.00012120847],"category_scores_gemma":[0.000057984176,0.000103008206,0.00008579567,0.00011859679,0.00007032718,0.00015338413,0.000051861163,0.00015825398,0.0000014477797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014058001,0.0001935872,0.0003423326,0.000060065835,0.00010809072,0.0000010947083,0.00149698,0.000001432742,0.001524924,0.98656875,0.0014262534,0.008262404],"study_design_scores_gemma":[0.00090868375,0.00023474605,0.0022002128,0.00004947636,0.0000897548,0.00012962912,0.00027764047,0.00033387943,0.0026756362,0.9893792,0.0035662034,0.00015492963],"about_ca_topic_score_codex":0.0000020167324,"about_ca_topic_score_gemma":8.3580716e-7,"teacher_disagreement_score":0.008107475,"about_ca_system_score_codex":0.00002005441,"about_ca_system_score_gemma":0.000021691756,"threshold_uncertainty_score":0.42005527},"labels":[],"label_agreement":null},{"id":"W2083623243","doi":"10.1016/j.jpaa.2006.08.005","title":"Krull–Schmidt decompositions for thick subcategories","year":2006,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Pure mathematics; Arithmetic","score_opus":0.015628773747111135,"score_gpt":0.2661327374315152,"score_spread":0.2505039636844041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083623243","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9783036,0.00049528485,0.016914735,0.00091203616,0.000459274,0.0002669867,0.0000057562925,0.00002719496,0.002615133],"genre_scores_gemma":[0.99097866,0.000015601525,0.0076587326,0.00010851342,0.0010481634,0.0000114547365,0.000003361148,0.00002147108,0.00015404688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990418,0.000012953282,0.00044083688,0.000114037575,0.00020094843,0.00018944748],"domain_scores_gemma":[0.99911165,0.00024998383,0.00032367263,0.00011399668,0.00012856312,0.00007212181],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020782769,0.00014975255,0.0003257599,0.000071795665,0.00018106111,0.00008087911,0.00014276378,0.00011131801,0.000033144945],"category_scores_gemma":[0.000023472267,0.000113289956,0.00013233464,0.0000838367,0.000049693088,0.00009392019,0.000028875318,0.00018806919,0.0000013744797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007029625,0.0000567117,0.000041594292,0.000041470033,0.000048487123,0.0000023734074,0.0001287108,0.000009020892,0.0013313291,0.9897489,0.008051343,0.0004697712],"study_design_scores_gemma":[0.0009148461,0.00010555099,0.00022361604,0.000016691272,0.0001105521,0.000053816242,0.00017656006,0.000009653721,0.0040629297,0.9915469,0.002645216,0.00013364904],"about_ca_topic_score_codex":0.000002076739,"about_ca_topic_score_gemma":0.0000036074446,"teacher_disagreement_score":0.012675055,"about_ca_system_score_codex":0.000019027857,"about_ca_system_score_gemma":0.00004654967,"threshold_uncertainty_score":0.46198305},"labels":[],"label_agreement":null},{"id":"W2085010131","doi":"10.1007/s10485-011-9268-x","title":"Layer Lengths, Torsion Theories and the Finitistic Dimension","year":2011,"lang":"en","type":"article","venue":"Applied Categorical Structures","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University","funders":"","keywords":"Torsion (gastropod); Mathematics; Theory of computation; Dimension (graph theory); Combinatorics; Discrete mathematics; Pure mathematics; Algorithm","score_opus":0.03992261416942878,"score_gpt":0.2543480901436812,"score_spread":0.21442547597425243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085010131","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9447757,0.00061018247,0.0137509685,0.0002546413,0.0016477717,0.0010426273,0.0000034934212,0.00029359545,0.037621006],"genre_scores_gemma":[0.9987226,0.000034563047,0.00067835045,0.0002036137,0.0002191358,0.000039104725,0.0000028916747,0.000028481309,0.00007123902],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998783,0.000073374715,0.0002723394,0.00030866946,0.00028039253,0.0002822333],"domain_scores_gemma":[0.9988596,0.00054024794,0.00011210477,0.00035651552,0.000037822356,0.00009371833],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017851769,0.00024703937,0.00033453488,0.000028438028,0.00031857248,0.000046184145,0.00024840355,0.0001597024,0.00023402722],"category_scores_gemma":[0.00015240507,0.00013209124,0.00006857202,0.000108426706,0.00035720225,0.000041418418,0.00018310724,0.00027053696,0.0000069739376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024718145,0.000012240633,0.00002845946,0.000015710892,0.000033384495,0.000003182312,0.001306987,4.1052283e-7,0.00007642932,0.9962327,0.0005180412,0.0015252759],"study_design_scores_gemma":[0.0010574581,0.000034665125,0.0009148681,0.0000011442278,0.00007781683,0.00001870117,0.0002648637,0.000017947066,0.0013975082,0.99577516,0.0002497095,0.00019012809],"about_ca_topic_score_codex":0.000076055345,"about_ca_topic_score_gemma":0.0000035232076,"teacher_disagreement_score":0.053946905,"about_ca_system_score_codex":0.000023759549,"about_ca_system_score_gemma":0.00001662228,"threshold_uncertainty_score":0.5386524},"labels":[],"label_agreement":null},{"id":"W2086154005","doi":"10.1016/j.jalgebra.2004.12.024","title":"On the representation dimension of tilted and laura algebras","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Universidad Nacional del Sur; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Mathematics; Dimension (graph theory); Representation (politics); Pure mathematics; Algebra over a field; Representation theory; Political science; Law","score_opus":0.02249815657533996,"score_gpt":0.27678517634006733,"score_spread":0.25428701976472734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086154005","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99768955,0.00015800318,0.0002750322,0.0007821322,0.00031596434,0.00009954936,7.712233e-7,0.0000071028935,0.00067189423],"genre_scores_gemma":[0.99910814,0.000018583118,0.00052418414,0.00007902098,0.0001899661,8.4095603e-7,4.586622e-7,0.000013219142,0.000065576874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998847,0.000085181,0.0004894137,0.000086377004,0.0003873252,0.00010471182],"domain_scores_gemma":[0.9982991,0.00070349267,0.00059628166,0.00019136949,0.00017442815,0.000035292996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032756123,0.00010336888,0.00024637007,0.000078773046,0.00006413341,0.000024339475,0.00013510235,0.0000628283,0.00006634043],"category_scores_gemma":[0.00030971816,0.00006001845,0.00010054111,0.0001340553,0.00005939117,0.00009664973,0.0000345056,0.00017726216,0.0000011480101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009522683,0.00005991855,0.00036319747,0.000013516613,0.00004256021,0.000006533562,0.00017202209,0.000018917828,0.0024227935,0.98934263,0.0071413773,0.00032129636],"study_design_scores_gemma":[0.00054513064,0.00019850476,0.0039164335,0.000067680485,0.000051907442,0.000047659574,0.000117999574,0.00007207961,0.011775145,0.9830963,0.000048908238,0.0000622364],"about_ca_topic_score_codex":0.000017675666,"about_ca_topic_score_gemma":0.0000020116802,"teacher_disagreement_score":0.0093523525,"about_ca_system_score_codex":0.00001910459,"about_ca_system_score_gemma":0.000026295487,"threshold_uncertainty_score":0.24474815},"labels":[],"label_agreement":null},{"id":"W2086190066","doi":"10.1007/s11005-007-0146-2","title":"A Class of Calogero Type Reductions of Free Motion on a Simple Lie Group","year":2007,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Lie group; Geodesic; Type (biology); Simple Lie group; Motion (physics); Homogeneous space; Coupling constant; Simple (philosophy); Generalization; Symmetry (geometry)","score_opus":0.034143935392390676,"score_gpt":0.29706817479304826,"score_spread":0.26292423940065757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086190066","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.914574,0.000004653749,0.083511986,0.00024707845,0.00022693352,0.00021949151,0.0000048692095,0.000027508639,0.0011834737],"genre_scores_gemma":[0.99070543,9.175456e-7,0.008916734,0.00015486723,0.00017968466,0.0000053622293,0.0000031604986,0.000025331921,0.000008500515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868864,0.000039180646,0.00052490685,0.00017356878,0.000347613,0.00022611501],"domain_scores_gemma":[0.9985275,0.0006422261,0.00020467125,0.00052809337,0.00005322185,0.000044241377],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029707854,0.00014849828,0.0003847953,0.00006686457,0.000026682723,0.000005680478,0.00023304473,0.00009930953,0.000030782354],"category_scores_gemma":[0.00040141187,0.00013031175,0.000112536996,0.00032302397,0.00013264809,0.000053633183,0.00006470245,0.00022000753,0.0000046575324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004563641,0.00039325014,0.000042162203,0.00023985258,0.000028100056,0.0000024434207,0.00048171935,0.00004967448,0.009640364,0.9878168,0.0007125485,0.00054745656],"study_design_scores_gemma":[0.0004224553,0.000101621285,0.0001674137,0.00010259359,0.000030094523,0.000001772865,0.000082185725,0.00023774491,0.008525376,0.99020725,0.000011120663,0.00011033792],"about_ca_topic_score_codex":0.000009468509,"about_ca_topic_score_gemma":0.0000025867957,"teacher_disagreement_score":0.07613143,"about_ca_system_score_codex":0.00005568845,"about_ca_system_score_gemma":0.000009773925,"threshold_uncertainty_score":0.5313959},"labels":[],"label_agreement":null},{"id":"W2086260286","doi":"10.1063/1.4894506","title":"Simple Harish-Chandra modules over super Schrödinger algebra in (1+1) dimensional spacetime","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"China Scholarship Council; National Natural Science Foundation of China; Wilfrid Laurier University","keywords":"Mathematics; Dimension (graph theory); Simple (philosophy); Omega; Subalgebra; Combinatorics; Algebra over a field; Mathematical physics; Physics; Pure mathematics; Quantum mechanics","score_opus":0.022352001245867524,"score_gpt":0.2809787080361483,"score_spread":0.25862670679028077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086260286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97443855,0.000052668474,0.02375771,0.00023358347,0.00035140183,0.0001416888,0.0000027242477,0.000022784618,0.0009988631],"genre_scores_gemma":[0.99006075,0.000004590549,0.008885995,0.00012945528,0.00077509484,0.0000031504205,8.101274e-7,0.000049632414,0.00009050336],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977149,0.000110321875,0.00082817656,0.00018892578,0.0008004451,0.00035726823],"domain_scores_gemma":[0.9979247,0.0009724923,0.0004072608,0.00033450627,0.00018661447,0.0001744202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000710458,0.00026965377,0.00077532313,0.000091186506,0.00007415798,0.00007096184,0.00031361045,0.0001526506,0.00041166117],"category_scores_gemma":[0.00075394707,0.00019912132,0.00029291114,0.00017823737,0.00009828766,0.00031889824,0.00012771405,0.0005032648,0.000029837604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005380506,0.00035080523,0.00015566511,0.00012803526,0.00007039248,0.000009979247,0.00039304938,0.00020593953,0.00046474356,0.9950765,0.0025854935,0.0005056019],"study_design_scores_gemma":[0.001183277,0.00014171678,0.00037892332,0.00020961935,0.00006443364,0.000032082648,0.000044025594,0.007510893,0.00078298344,0.98923945,0.00018836172,0.00022423858],"about_ca_topic_score_codex":0.0000027342635,"about_ca_topic_score_gemma":9.2345476e-7,"teacher_disagreement_score":0.015622193,"about_ca_system_score_codex":0.00007341821,"about_ca_system_score_gemma":0.000048493,"threshold_uncertainty_score":0.8119932},"labels":[],"label_agreement":null},{"id":"W2086605861","doi":"10.1139/p09-064","title":"Spectrum-generating bialgebra of the hexagonal-lattice dimer model","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Bialgebra; Physics; Lattice (music); Hexagonal crystal system; Dimer; Hexagonal lattice; Yangian; Operator (biology); Mathematical physics; Pure mathematics; Quantum mechanics; Crystallography; Quantum; Mathematics; Hopf algebra","score_opus":0.03116629405569999,"score_gpt":0.2551551772705546,"score_spread":0.2239888832148546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086605861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9926558,0.00016142195,0.0046468633,0.00084270234,0.00071830594,0.000082928294,0.000006920278,0.000003777505,0.00088125834],"genre_scores_gemma":[0.9966526,0.0000023318303,0.0021836935,0.00034935717,0.0007011672,2.5412137e-7,2.4787957e-7,0.000015698988,0.00009464526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899846,0.000041912055,0.0003844421,0.000082794155,0.00025868698,0.00023372854],"domain_scores_gemma":[0.9988906,0.000067263514,0.0004072731,0.00025158178,0.00016051692,0.00022276619],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016217251,0.00012858128,0.0002644151,0.000044233228,0.00014168184,0.0000335836,0.00038516847,0.00006122699,0.000024542864],"category_scores_gemma":[0.00013027254,0.0000918286,0.00020778764,0.00019082702,0.00005948735,0.000116506606,0.0000116987385,0.000283392,7.450747e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049029327,0.000016310349,0.000101902246,0.000009770311,0.00004063777,0.000004058404,0.0007480907,0.0041792463,0.00081396487,0.99188006,0.0011508329,0.0010502338],"study_design_scores_gemma":[0.00024500833,0.00005580169,0.0001990406,0.000057783487,0.00006829601,0.000018185374,0.000043315573,0.0037580105,0.0050806613,0.9903201,0.00005167045,0.000102155005],"about_ca_topic_score_codex":0.00019047539,"about_ca_topic_score_gemma":0.0005173877,"teacher_disagreement_score":0.0042666965,"about_ca_system_score_codex":0.00008628813,"about_ca_system_score_gemma":0.0009783584,"threshold_uncertainty_score":0.37446618},"labels":[],"label_agreement":null},{"id":"W2087315866","doi":"10.1155/2011/969424","title":"Orthogonal Polynomials of Compact Simple Lie Groups","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Occupational Cancer Research Centre","funders":"Université de Montréal; Natural Sciences and Engineering Research Council of Canada; Mitacs; Centre de Recherches Mathématiques","keywords":"Simple Lie group; Orthogonal polynomials; Discrete orthogonal polynomials; Classical orthogonal polynomials; Representation of a Lie group; Chebyshev polynomials; Wilson polynomials; Fundamental representation; Difference polynomials; Lie group","score_opus":0.09214745859510369,"score_gpt":0.34007445396454855,"score_spread":0.24792699536944485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087315866","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9800828,0.000100043944,0.011316061,0.00019108577,0.0004364916,0.00010974391,0.0000069387925,0.0000117588515,0.007745077],"genre_scores_gemma":[0.9437953,0.000037023918,0.055947654,0.000034204448,0.0001511761,0.0000010017947,2.3746367e-7,0.000011337777,0.000022012975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976117,0.000035283472,0.0010621877,0.00013571391,0.00095854397,0.00019658271],"domain_scores_gemma":[0.9975836,0.00082834624,0.000967281,0.00013332229,0.00034830408,0.00013911605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013146932,0.0001696672,0.0005273235,0.0001776592,0.00007017964,0.00006086089,0.0007387557,0.00007339946,0.0004773265],"category_scores_gemma":[0.0008462244,0.00011076743,0.00018766176,0.0001241408,0.00041544798,0.00024291285,0.000119426106,0.00013621998,0.0000032694556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023235714,0.00034965685,0.00029906427,0.000081050726,0.00012275991,0.000009717776,0.0017895969,0.0000012368051,0.00032835023,0.99619883,0.00017081732,0.00062567234],"study_design_scores_gemma":[0.00040773832,0.00025500273,0.00027031946,0.00018653678,0.00005922453,0.00025303138,0.0009531214,0.00028756665,0.0020306318,0.9951366,0.000040020484,0.00012016898],"about_ca_topic_score_codex":0.000007015494,"about_ca_topic_score_gemma":0.0000017622073,"teacher_disagreement_score":0.044631597,"about_ca_system_score_codex":0.000022512306,"about_ca_system_score_gemma":0.00009877712,"threshold_uncertainty_score":0.52263904},"labels":[],"label_agreement":null},{"id":"W2088038775","doi":"10.1007/s00029-012-0110-6","title":"Spherical and Whittaker functions via DAHA I","year":2012,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Affine transformation; Mathematics; Exposition (narrative); Pure mathematics; Type (biology); Algebra over a field; Representation (politics); Polynomial; Representation theory; Mathematical analysis; Law; Literature","score_opus":0.02847570835714347,"score_gpt":0.2777607199233108,"score_spread":0.24928501156616734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088038775","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8853566,0.00050077646,0.07957982,0.0004183314,0.0009689378,0.0006118347,0.000003658141,0.0004034826,0.03215653],"genre_scores_gemma":[0.9824936,0.000003619971,0.01573339,0.000080894664,0.00032963225,0.000036171612,0.0000016465382,0.000042983243,0.0012780752],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988122,0.00004575224,0.0002762571,0.00018648885,0.00024386887,0.00043545698],"domain_scores_gemma":[0.9990353,0.00029786085,0.000087206645,0.00033393997,0.000047998165,0.00019766614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021463221,0.00019825442,0.0002957465,0.000032516364,0.0001523664,0.000042034964,0.00012032733,0.00011438041,0.0008260211],"category_scores_gemma":[0.0002370949,0.00015668433,0.000068619054,0.0001891851,0.00006187423,0.00018030108,0.00007884726,0.00017453737,0.00011014499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012435294,0.00020350113,0.0005488537,0.000119724624,0.00007943803,8.228385e-7,0.0013860442,1.5625211e-7,0.00032592786,0.9894665,0.0065475977,0.0013090107],"study_design_scores_gemma":[0.00026360629,0.00006723739,0.00030827272,0.000021183323,0.00009391089,0.000082349354,0.00014516938,0.00021615661,0.00031068167,0.9959203,0.002337687,0.00023347077],"about_ca_topic_score_codex":0.0000038392236,"about_ca_topic_score_gemma":0.0000014304445,"teacher_disagreement_score":0.09713696,"about_ca_system_score_codex":0.00003117516,"about_ca_system_score_gemma":0.000020123243,"threshold_uncertainty_score":0.9044351},"labels":[],"label_agreement":null},{"id":"W2088633758","doi":"10.1007/s10468-012-9383-x","title":"Almost Split Sequences and Approximations","year":2012,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subcategory; Mathematics; Sequence (biology); Combinatorics; Exact sequence; Abelian group; Discrete mathematics","score_opus":0.04179556972368021,"score_gpt":0.32437762427090167,"score_spread":0.28258205454722146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088633758","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99077916,0.0010506228,0.0025630728,0.00021480127,0.00030677882,0.00020526588,0.0000024406907,0.000054985212,0.004822856],"genre_scores_gemma":[0.9970232,0.00008411997,0.00196337,0.00009585896,0.00019504329,0.000023278986,0.0000048316083,0.000013065607,0.00059722655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992386,0.00011053497,0.00017764336,0.00016239981,0.00013468027,0.00017612452],"domain_scores_gemma":[0.99916375,0.0004448412,0.000084714266,0.00017120347,0.000031448224,0.000104017214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003388695,0.00010737859,0.0001370442,0.00004379124,0.0001870752,0.00005056257,0.000059205646,0.000065194596,0.00012714646],"category_scores_gemma":[0.00017279887,0.00008307493,0.000029731713,0.00008976572,0.00014077938,0.0002982289,0.00006273211,0.000075155054,0.0000047951507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010682929,0.000020172774,0.0034779422,0.00002226855,0.000029690953,2.8596205e-7,0.0018952372,3.2298982e-7,0.000103998944,0.9900754,0.00013113247,0.0042328467],"study_design_scores_gemma":[0.00021361501,0.00001474376,0.0063078064,0.000009921456,0.00004187829,0.000021059574,0.001630932,0.000035997567,0.00067462516,0.9907746,0.00016330418,0.000111524976],"about_ca_topic_score_codex":0.000016188495,"about_ca_topic_score_gemma":8.9684426e-7,"teacher_disagreement_score":0.006244028,"about_ca_system_score_codex":0.000007972962,"about_ca_system_score_gemma":0.000009790814,"threshold_uncertainty_score":0.3387697},"labels":[],"label_agreement":null},{"id":"W2088726651","doi":"10.1080/00927872.2011.629267","title":"A Module-Theoretic Interpretation of Schiffler's Expansion Formula","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council","keywords":"Mathematics; Interpretation (philosophy); Algebra over a field; Calculus (dental); Pure mathematics; Computer science; Programming language","score_opus":0.03223147682258317,"score_gpt":0.31449562876333553,"score_spread":0.2822641519407524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088726651","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9853079,0.00037198156,0.007258396,0.0005275822,0.00014809535,0.0005686077,0.0000017543557,0.000062703315,0.005753033],"genre_scores_gemma":[0.9819273,0.00012338621,0.017647864,0.00005152022,0.000013335418,0.00016005039,0.000009719486,0.000022264663,0.000044598477],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988795,0.00015591126,0.00049670355,0.00014623514,0.00016159737,0.00016007],"domain_scores_gemma":[0.99736553,0.0004987702,0.00019012728,0.0017634891,0.00013997749,0.00004209034],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002096124,0.0001281152,0.00023853997,0.00015428793,0.000079551064,0.000027554906,0.00092404947,0.000099556564,0.00015677355],"category_scores_gemma":[0.00036251734,0.00011747315,0.00007705229,0.00027554747,0.00017672902,0.00023217185,0.00037260813,0.00021804712,0.000024042854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008019028,0.00010425126,0.0003275586,0.00003282627,0.000012614765,7.379952e-8,0.0011913476,0.0000129682,0.00019008172,0.9879084,0.00010306929,0.010108774],"study_design_scores_gemma":[0.0003593458,0.00003462426,0.0014995454,0.000121143756,0.000013461301,0.0000017839112,0.00025162124,0.02183007,0.00049683446,0.9752437,0.00003337248,0.00011452481],"about_ca_topic_score_codex":0.00007899041,"about_ca_topic_score_gemma":0.000023102732,"teacher_disagreement_score":0.021817103,"about_ca_system_score_codex":0.000054684577,"about_ca_system_score_gemma":0.000035222358,"threshold_uncertainty_score":0.4790416},"labels":[],"label_agreement":null},{"id":"W2088782033","doi":"10.1016/j.jalgebra.2011.05.029","title":"Irreducible modules over the derivation algebras of rational quantum tori","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Torus; Pure mathematics; Bounded function; Lie algebra; Simple (philosophy); Quantum; Class (philosophy); Algebra over a field; Discrete mathematics; Geometry; Mathematical analysis; Quantum mechanics","score_opus":0.058330315651413854,"score_gpt":0.28570326804996016,"score_spread":0.2273729523985463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088782033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993978,0.00021578398,0.003517099,0.00020542304,0.0013780412,0.00011035967,0.0000020423488,0.000009940265,0.0005832917],"genre_scores_gemma":[0.9959187,0.00002608297,0.0033901904,0.00007865634,0.00051620294,0.0000016116111,7.471165e-7,0.00002000812,0.0000477983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983998,0.00007750458,0.0007173667,0.000106313404,0.0005402621,0.00015875591],"domain_scores_gemma":[0.99819475,0.0002427203,0.0008700031,0.00027975548,0.00034785786,0.00006488443],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049856474,0.00014200137,0.0003012444,0.000097456534,0.00008822903,0.000024613997,0.00037889217,0.00009169718,0.00046521256],"category_scores_gemma":[0.00033421663,0.00008906079,0.00020559825,0.00016929692,0.000082592145,0.0003021523,0.000051684652,0.0002160265,0.0000026071646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008692962,0.000106309715,0.00052657956,0.00002204908,0.00012510894,0.0000028319027,0.0016167803,0.000007978254,0.00078934315,0.9930463,0.0032956016,0.00037421242],"study_design_scores_gemma":[0.00049035903,0.00019076475,0.017193241,0.000044476714,0.000074292315,0.00004462236,0.00028464303,0.00011537025,0.006997834,0.9742684,0.0001972177,0.00009880245],"about_ca_topic_score_codex":0.000019919982,"about_ca_topic_score_gemma":0.0000027793953,"teacher_disagreement_score":0.0187779,"about_ca_system_score_codex":0.00003965643,"about_ca_system_score_gemma":0.000118898635,"threshold_uncertainty_score":0.50937515},"labels":[],"label_agreement":null},{"id":"W2089125132","doi":"10.1090/s1088-4165-2012-00413-7","title":"Preprojective algebras and MV polytopes","year":2012,"lang":"en","type":"preprint","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Quiver; Polytope; Functor; Nilpotent; Mathematics; Algebra over a field; Pure mathematics; Reflection (computer programming); Combinatorics; Computer science; Programming language","score_opus":0.044248698387257354,"score_gpt":0.33699395761253825,"score_spread":0.2927452592252809,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089125132","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97710633,0.00029086135,0.01779701,0.000467799,0.0003986732,0.0011924842,0.000027370957,0.00011017744,0.0026092618],"genre_scores_gemma":[0.985462,0.0000678082,0.013476074,0.00015530671,0.00023881652,0.000098469376,0.0000033112426,0.00006264911,0.00043552616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972036,0.0006264411,0.0006690597,0.00052215613,0.0006329014,0.00034586806],"domain_scores_gemma":[0.9950148,0.0021013347,0.0013672617,0.0012533158,0.0001420771,0.00012124153],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010237686,0.0003896135,0.00095881126,0.000031369796,0.00017471402,0.0000553433,0.00064674177,0.00019506473,0.00012186324],"category_scores_gemma":[0.0010862029,0.00026045274,0.00075049466,0.00024719298,0.0014114927,0.00008767592,0.0016605769,0.00060869113,0.0000044481512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006318455,0.00015649716,0.0006919371,0.0005181845,0.00055198796,1.7305659e-7,0.008987417,0.0000111308345,0.00021909419,0.9863291,0.00054547755,0.0019258348],"study_design_scores_gemma":[0.00021518984,0.000030252064,0.0022589192,0.000151694,0.0003891318,0.000009143452,0.003363749,0.00022239191,0.0021313264,0.99094814,0.000008994063,0.0002710897],"about_ca_topic_score_codex":0.00005749804,"about_ca_topic_score_gemma":5.333505e-7,"teacher_disagreement_score":0.008355677,"about_ca_system_score_codex":0.00008726057,"about_ca_system_score_gemma":0.00009039638,"threshold_uncertainty_score":0.99998474},"labels":[],"label_agreement":null},{"id":"W2089549543","doi":"10.1155/imrn/2006/68395","title":"A category of modules for the full toroidal Lie algebra","year":2006,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Vertex operator algebra; Lie conformal algebra; Affine Lie algebra; Pure mathematics; Tensor product; Graded Lie algebra; Lie algebra; Current algebra; Algebra over a field; Virasoro algebra; Vertex (graph theory); Algebra representation; Discrete mathematics; Cellular algebra; Jordan algebra","score_opus":0.10846966575626055,"score_gpt":0.4010223928230859,"score_spread":0.29255272706682534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089549543","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9485747,0.00053102337,0.03503523,0.0026610137,0.0013919905,0.0013869661,0.00007261756,0.00008095124,0.010265498],"genre_scores_gemma":[0.9824574,0.00001584404,0.015450196,0.000013346482,0.00066189794,0.00015928994,0.000007975597,0.00003606774,0.0011979576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997554,0.000064802756,0.00054788793,0.00022857985,0.0012620959,0.00034263844],"domain_scores_gemma":[0.992785,0.005626376,0.00024882186,0.0004279523,0.00086563465,0.000046248606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013819224,0.00015836608,0.0002510813,0.00016015078,0.00019882509,0.00013701522,0.0010712602,0.000096441145,0.00018399653],"category_scores_gemma":[0.0014219432,0.00010493943,0.00016634747,0.00014782313,0.00025365755,0.00014592889,0.00021890308,0.00022609303,0.000012530234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056398407,0.00022711944,0.000021995465,0.00019639437,0.000119468255,0.0000012807799,0.00048493486,0.00010705516,0.00090544944,0.9933535,0.0041095675,0.00041686263],"study_design_scores_gemma":[0.00041468817,0.00008791831,0.000109637724,0.00005808847,0.000029152308,0.0000044022054,0.00067364454,0.015474683,0.0028297247,0.97869605,0.001511106,0.00011089942],"about_ca_topic_score_codex":0.00020223102,"about_ca_topic_score_gemma":0.00010836493,"teacher_disagreement_score":0.03388272,"about_ca_system_score_codex":0.0000807933,"about_ca_system_score_gemma":0.00007709539,"threshold_uncertainty_score":0.42793056},"labels":[],"label_agreement":null},{"id":"W2089796676","doi":"10.1016/j.aim.2007.06.013","title":"The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah–Chern character","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Hochschild homology; Mathematics; Homomorphism; Morphism; Pure mathematics; Cohomology; Homology (biology); Affine transformation; Character (mathematics); Discrete mathematics; Algebra over a field; Geometry","score_opus":0.013904480423212049,"score_gpt":0.3440744000344157,"score_spread":0.3301699196112036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089796676","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6313369,0.0017796076,0.3610779,0.00047020166,0.0009435406,0.0011341659,0.000013331728,0.000052070885,0.0031922115],"genre_scores_gemma":[0.97077477,0.00014045967,0.028701296,0.000072476454,0.00020222226,0.000038509774,0.000004200126,0.000028868837,0.000037182217],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984707,0.00006671511,0.0006264775,0.00018844873,0.00028171766,0.0003659253],"domain_scores_gemma":[0.9961859,0.00269085,0.00048854493,0.0004907551,0.000108012064,0.000035960547],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012617141,0.00020684108,0.0003435219,0.000029339031,0.00022272776,0.000036625064,0.0004961242,0.00012300712,0.00001090306],"category_scores_gemma":[0.00043209514,0.00011676658,0.00013455987,0.00016582821,0.00027767912,0.00013455101,0.000064365915,0.00015559331,0.0000023653454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007407628,0.00009164546,0.0003687446,0.00012651338,0.00003559363,0.0000013900069,0.0009965667,0.000023854898,0.00007405955,0.99212724,0.000017561555,0.006062753],"study_design_scores_gemma":[0.00043394754,0.000083049155,0.00025188318,0.00007325772,0.000040924646,0.000023275335,0.0006266611,0.00087506755,0.0017654857,0.9945874,0.0011025321,0.00013646895],"about_ca_topic_score_codex":0.0000037571122,"about_ca_topic_score_gemma":0.00005902086,"teacher_disagreement_score":0.3394378,"about_ca_system_score_codex":0.00008035074,"about_ca_system_score_gemma":0.000022732665,"threshold_uncertainty_score":0.47616032},"labels":[],"label_agreement":null},{"id":"W2090104382","doi":"10.48550/arxiv.1201.5410","title":"Automorphisms and twisted forms of the N = 1, 2, 3 Lie conformal superalgebras","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Pure mathematics; Automorphism; Cohomology; Conformal map; Superalgebra; Lie superalgebra; Functor; Abelian group; Lie conformal algebra; Lie algebra; Algebra over a field; Affine Lie algebra; Mathematical analysis; Current algebra","score_opus":0.08845224381093329,"score_gpt":0.2023479580424221,"score_spread":0.1138957142314888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090104382","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9954603,0.00008117823,0.001040524,0.00004019732,0.0008940419,0.00040648784,0.000026991887,0.00006754313,0.0019827667],"genre_scores_gemma":[0.99888015,0.000042055053,0.00007528338,0.000038264014,0.00008626629,9.1664987e-7,0.000006695268,0.00002740227,0.0008429969],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988871,0.000064795364,0.0002697201,0.00034896072,0.0001181056,0.000311326],"domain_scores_gemma":[0.9984798,0.00013561155,0.00034524334,0.0007993493,0.000116104056,0.00012390046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017245533,0.00030022548,0.00044536925,0.0000731698,0.00012921226,0.000026733218,0.00063589594,0.00039349185,0.00011506367],"category_scores_gemma":[0.000059224545,0.00022855237,0.00023742477,0.00016722306,0.00027001355,0.00015190168,0.001286254,0.00050554005,0.0000040547907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003731248,0.000040847746,0.0025035415,0.0001810848,0.00011843323,0.000004491156,0.000414514,0.00007913343,0.000019532921,0.9964225,0.00012741702,0.000051140265],"study_design_scores_gemma":[0.00065777183,0.000026555894,0.0026921155,0.00009098567,0.00024913735,0.000006990266,0.00013650805,0.0010622517,0.00038179543,0.99427193,0.00014237475,0.00028157994],"about_ca_topic_score_codex":0.00006322827,"about_ca_topic_score_gemma":0.000017199944,"teacher_disagreement_score":0.0034198512,"about_ca_system_score_codex":0.00008103639,"about_ca_system_score_gemma":0.00012264335,"threshold_uncertainty_score":0.9320095},"labels":[],"label_agreement":null},{"id":"W2091157920","doi":"10.1016/j.jcta.2006.09.002","title":"An update on primitive ternary complementary pairs","year":2006,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Ternary operation; Mathematics; Combinatorics; Computer science; Programming language","score_opus":0.015030218796192785,"score_gpt":0.278152044446627,"score_spread":0.26312182565043424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091157920","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9851933,0.00009226138,0.00065040373,0.0003952995,0.009490642,0.00025518853,0.000017025473,0.00006385738,0.0038420223],"genre_scores_gemma":[0.99562544,0.000014760328,0.0012582578,0.00018558536,0.0027554664,0.000004368861,0.0000075895127,0.000050700968,0.00009784735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974962,0.00045420357,0.0008481663,0.00020511028,0.00066430547,0.00033202127],"domain_scores_gemma":[0.99794644,0.0004344781,0.0007844129,0.0003962093,0.00029096694,0.00014750377],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010034797,0.00030526312,0.00057504873,0.00014380403,0.00020506317,0.000096861295,0.00057588407,0.00012525693,0.00037106327],"category_scores_gemma":[0.00011635811,0.00024348067,0.0002551426,0.00014152525,0.00014481679,0.0005724453,0.00007326886,0.00041726718,0.000004826663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023901048,0.00045633185,0.00014860526,0.000016886293,0.00012216088,0.00008604419,0.00023407684,0.000027373644,0.00027508446,0.99229366,0.0035243903,0.00042526156],"study_design_scores_gemma":[0.002445785,0.002227037,0.00035105093,0.000067471265,0.000094335795,0.00010385975,0.0005372738,0.000006446637,0.003284906,0.9844893,0.0061282413,0.00026429357],"about_ca_topic_score_codex":0.000013513293,"about_ca_topic_score_gemma":0.0000020514933,"teacher_disagreement_score":0.010432123,"about_ca_system_score_codex":0.00013613288,"about_ca_system_score_gemma":0.0001019372,"threshold_uncertainty_score":0.99288535},"labels":[],"label_agreement":null},{"id":"W2091193418","doi":"10.1016/j.jalgebra.2006.06.004","title":"Radford's <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mi>S</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> formula for co-Frobenius Hopf algebras","year":2006,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Mathematics; Hopf algebra; Scroll; Algebra over a field; Pure mathematics; Discrete mathematics; Philosophy; Theology","score_opus":0.017417590381224087,"score_gpt":0.25207809651487284,"score_spread":0.23466050613364875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091193418","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97557867,0.0023281632,0.0029566546,0.0009475897,0.0056429086,0.00021497041,0.00032466577,0.000171609,0.011834771],"genre_scores_gemma":[0.98403335,0.00078695704,0.0068722772,0.0010125284,0.0056499178,0.00021437347,0.00028532202,0.0006665273,0.00047873653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99038655,0.00026319647,0.0031704528,0.0012006038,0.002726167,0.0022530048],"domain_scores_gemma":[0.99104583,0.0017533056,0.0038839367,0.0018609832,0.00049960037,0.0009563338],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017714817,0.0012112827,0.0010247297,0.00051189854,0.0016022754,0.0013241027,0.0021388927,0.0021106366,0.0037417144],"category_scores_gemma":[0.0012112148,0.0015523141,0.002888935,0.0006982036,0.000688011,0.0016115056,0.0008834748,0.0019964871,0.00062473764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017794515,0.00056208356,0.000014171821,0.0010702228,0.0017582225,0.0008074071,0.0014889096,0.00058588816,0.00088785164,0.9201808,0.06944716,0.0014178334],"study_design_scores_gemma":[0.01571848,0.00814013,0.00017265466,0.0029667818,0.006222199,0.008215912,0.0032650498,0.28284183,0.23875698,0.3898878,0.03956466,0.004247493],"about_ca_topic_score_codex":0.00041900628,"about_ca_topic_score_gemma":0.0001523271,"teacher_disagreement_score":0.530293,"about_ca_system_score_codex":0.00009388198,"about_ca_system_score_gemma":0.0016192495,"threshold_uncertainty_score":0.99971265},"labels":[],"label_agreement":null},{"id":"W2091657707","doi":"10.1139/p08-061","title":"The algebraic Bethe Ansatz without the Yang–Baxter equation","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Bethe ansatz; Physics; Algebraic number; Ansatz; Mathematical physics; Lattice (music); Operator (biology); Master equation; Algebraic structure; Algebra over a field; Pure mathematics; Quantum mechanics; Mathematics; Mathematical analysis; Integrable system","score_opus":0.056981649632621596,"score_gpt":0.26147104336998656,"score_spread":0.20448939373736497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091657707","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9877566,0.0005337355,0.0061642583,0.0024660092,0.0018025095,0.00019312771,0.0000045277106,0.000009060425,0.0010701534],"genre_scores_gemma":[0.9979964,0.00002043619,0.00020798462,0.0002873059,0.0011797164,0.0000024023984,4.9837195e-7,0.000023363591,0.00028193012],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897105,0.00009456764,0.00030016527,0.00007682049,0.00028745335,0.000269939],"domain_scores_gemma":[0.9986463,0.00032251215,0.00029613025,0.00030226793,0.0002248441,0.00020794691],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033039151,0.00012518212,0.00017483137,0.000027899638,0.00071869284,0.000071716655,0.00045885728,0.00005579816,0.000028096518],"category_scores_gemma":[0.0001950195,0.00006594775,0.00015090503,0.00014421974,0.00020663443,0.00012701421,0.00001211912,0.00033113724,0.00000735636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000118716525,0.000008856104,0.0011392228,0.000005776654,0.00010042422,0.00002052838,0.0036656393,0.00006804798,0.000022455357,0.9799583,0.010083074,0.004915802],"study_design_scores_gemma":[0.00026417794,0.000056992103,0.0008477819,0.000021055086,0.000047470443,0.000089115056,0.00023024778,0.00013893262,0.00024054431,0.9917502,0.006215173,0.00009831314],"about_ca_topic_score_codex":0.00046921681,"about_ca_topic_score_gemma":0.001455798,"teacher_disagreement_score":0.011791894,"about_ca_system_score_codex":0.00009780977,"about_ca_system_score_gemma":0.00076119066,"threshold_uncertainty_score":0.5527677},"labels":[],"label_agreement":null},{"id":"W2091841655","doi":"10.1007/s10468-014-9472-0","title":"Projective Dimension of Modules over Cluster-Tilted Algebras","year":2014,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke; Natural Sciences and Engineering Research Council of Canada","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dimension (graph theory); Quiver; Endomorphism; Zero (linguistics); Pure mathematics; Global dimension; Cluster (spacecraft); Projective test; Projective space; Projective module; Combinatorics; Discrete mathematics; Computer science","score_opus":0.01756331324140198,"score_gpt":0.29427580513933316,"score_spread":0.2767124918979312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091841655","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9851455,0.00012409913,0.011629853,0.00007544441,0.00036263795,0.0003914343,0.0000028611873,0.000065601365,0.002202589],"genre_scores_gemma":[0.99793255,0.000024001618,0.0014074887,0.00011136642,0.0001396059,0.000021513235,0.000007685175,0.000030686584,0.00032510894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842703,0.000363981,0.00037955257,0.00035129007,0.00029018032,0.00018798215],"domain_scores_gemma":[0.9981887,0.0009549307,0.0002684538,0.00039254082,0.00012228657,0.00007313049],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004908495,0.00018832,0.0003311634,0.00010784746,0.00012390692,0.000028736966,0.000128147,0.00012850056,0.00011146342],"category_scores_gemma":[0.00050077116,0.00014584136,0.000096754375,0.00016592798,0.00017447374,0.00016910682,0.00012723164,0.00012051158,0.0000030166507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015621471,0.0000585458,0.0010728365,0.00005482679,0.000082877545,4.412518e-7,0.0013542667,0.000011892149,0.0014483553,0.9900967,0.00027080794,0.005392221],"study_design_scores_gemma":[0.0009903532,0.0001150223,0.007226098,0.000042174055,0.000072933566,0.0000064421884,0.0005000353,0.0007919328,0.009176769,0.9808495,0.000057029025,0.00017170378],"about_ca_topic_score_codex":0.000052384912,"about_ca_topic_score_gemma":0.0000043309665,"teacher_disagreement_score":0.012787064,"about_ca_system_score_codex":0.000015846961,"about_ca_system_score_gemma":0.000017188304,"threshold_uncertainty_score":0.59472376},"labels":[],"label_agreement":null},{"id":"W2091976083","doi":"10.1090/s1088-4165-10-00366-3","title":"Quantum algebras and symplectic reflection algebras for wreath products","year":2010,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Ministère de l'Enseignement Supérieur et de la Recherche","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","score_opus":0.03244390383298442,"score_gpt":0.32503115370997854,"score_spread":0.29258724987699414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091976083","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.970014,0.00011648426,0.024282118,0.0019253005,0.0010929846,0.00200899,0.000029039875,0.00009585033,0.0004352761],"genre_scores_gemma":[0.9812013,0.00007070101,0.016956313,0.0002421325,0.0005072337,0.00013938492,0.000006016725,0.00010511661,0.000771802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965438,0.00047096334,0.0009847006,0.00075481605,0.0006967568,0.0005489251],"domain_scores_gemma":[0.9931581,0.003448621,0.0014818327,0.0013083512,0.00042994804,0.000173119],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016196648,0.00047939384,0.0010190153,0.00005365585,0.0005821925,0.00012552734,0.0005893302,0.00022408894,0.00011942658],"category_scores_gemma":[0.0042980346,0.00034753483,0.0007263716,0.000779841,0.0019577502,0.00019209445,0.00031574687,0.0006342294,0.000008181056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020625448,0.00029149526,0.00024465696,0.0009067241,0.00047252324,2.2366244e-7,0.0049256887,0.0000047170724,0.017714288,0.97249234,0.000984777,0.0017563326],"study_design_scores_gemma":[0.0007700201,0.00026695023,0.0010274636,0.00011825292,0.00069523265,0.000041223855,0.0034168344,0.0023746637,0.01777903,0.97306705,0.000077963996,0.00036530624],"about_ca_topic_score_codex":0.00004385528,"about_ca_topic_score_gemma":0.0000036959123,"teacher_disagreement_score":0.011187344,"about_ca_system_score_codex":0.000079872465,"about_ca_system_score_gemma":0.00017964278,"threshold_uncertainty_score":0.99989766},"labels":[],"label_agreement":null},{"id":"W2092695295","doi":"10.1007/s10468-011-9314-2","title":"A Homological Interpretation of the Transverse Quiver Grassmannians","year":2011,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Grassmannian; Indecomposable module; Affine transformation; Locus (genetics); Cluster algebra; Corollary","score_opus":0.04693129811468698,"score_gpt":0.28312205603323276,"score_spread":0.23619075791854577,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092695295","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98697406,0.00006633183,0.007966873,0.000052035255,0.0003116731,0.00020430637,0.000001903985,0.000025433172,0.0043973606],"genre_scores_gemma":[0.99920815,0.000014750136,0.00042975272,0.00005759771,0.000025310568,0.000011062938,7.746772e-7,0.000008994861,0.00024361663],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920654,0.00019883485,0.00021109673,0.00015490133,0.00013440206,0.00009419983],"domain_scores_gemma":[0.9993524,0.00021892355,0.00012423114,0.00022641374,0.000046883102,0.000031171876],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019013086,0.00008879297,0.0001397477,0.000031192514,0.00007928298,0.000007960634,0.00014198203,0.000071733266,0.00021218641],"category_scores_gemma":[0.00012462513,0.000053187265,0.00009746371,0.00010209468,0.00021624629,0.000085335545,0.000048111127,0.000086169544,0.0000014945327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010867497,0.000040870957,0.0014763881,0.000015547745,0.00004368701,0.0000011203655,0.0077396426,0.0000011679251,0.0002270628,0.9880529,0.000057785826,0.002235148],"study_design_scores_gemma":[0.00030352283,0.000048869355,0.01298187,0.000015881647,0.00006161516,0.000008638081,0.0013629663,0.00006362584,0.0043659536,0.9807129,0.000006569087,0.00006759042],"about_ca_topic_score_codex":0.00003323133,"about_ca_topic_score_gemma":0.000005098186,"teacher_disagreement_score":0.012234057,"about_ca_system_score_codex":0.00000656574,"about_ca_system_score_gemma":0.000012428312,"threshold_uncertainty_score":0.23232925},"labels":[],"label_agreement":null},{"id":"W2093297962","doi":"10.4153/cjm-2007-008-7","title":"Endomorphism Algebras of Kronecker Modules Regulated by Quadratic Function Fields","year":2007,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Endomorphism; Kronecker delta; Rational function; Algebraically closed field; Combinatorics; Simple (philosophy); Discrete mathematics; Field (mathematics); Function (biology); Pure mathematics","score_opus":0.019725078686737254,"score_gpt":0.24314591572684374,"score_spread":0.22342083704010648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093297962","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94196284,0.0004471349,0.05561949,0.00013905262,0.000842781,0.00015138398,0.000008214927,0.0000079242245,0.0008211885],"genre_scores_gemma":[0.9898692,0.0000070120573,0.009632267,0.000053692027,0.00015081251,7.862526e-7,0.0000021105097,0.000032453063,0.00025166638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981573,0.00003687218,0.0010138535,0.00010409055,0.00036031197,0.0003275716],"domain_scores_gemma":[0.99776816,0.00039410449,0.00079993694,0.00030542174,0.00032795162,0.00040442476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008375535,0.00018738037,0.00049516326,0.00023482586,0.000087440814,0.000029980081,0.00028556684,0.00021067806,0.00032170655],"category_scores_gemma":[0.0005915566,0.00015887235,0.00017251767,0.000193673,0.00010307297,0.00011991165,0.000012150445,0.00027346358,0.0000044245458],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006060129,0.00017986986,0.00033332073,0.0004042617,0.00047513458,0.00009646039,0.0046231933,0.00006401511,0.0019728472,0.9585219,0.030491713,0.0027767087],"study_design_scores_gemma":[0.0007236006,0.000238042,0.0001825573,0.0002003502,0.00017996156,0.0001610073,0.0009039352,0.00020629857,0.0048911767,0.99138564,0.0007393328,0.00018808676],"about_ca_topic_score_codex":0.0002837253,"about_ca_topic_score_gemma":0.0018336452,"teacher_disagreement_score":0.04790637,"about_ca_system_score_codex":0.00011055627,"about_ca_system_score_gemma":0.00029986879,"threshold_uncertainty_score":0.6478627},"labels":[],"label_agreement":null},{"id":"W2093383582","doi":"10.1016/s0021-8693(02)00669-5","title":"Pairings in triangular Witt theory","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Universität Bielefeld; Alexander von Humboldt-Stiftung","keywords":"Mathematics; Functor; Tensor product; Triangulated category; Commutative ring; Ring (chemistry); Pure mathematics; Section (typography); Projection (relational algebra); Witt vector; Combinatorics; Product (mathematics); Scheme (mathematics); Bounded function; Discrete mathematics; Derived category; Commutative property; Algebra over a field; Geometry; Mathematical analysis","score_opus":0.024516622396581714,"score_gpt":0.2827010364050068,"score_spread":0.2581844140084251,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093383582","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9941422,0.00060231215,0.0014362037,0.00013130791,0.0007711678,0.0000862009,2.0813552e-7,0.000010346955,0.0028200897],"genre_scores_gemma":[0.99715775,0.000020080432,0.002232193,0.00012345029,0.00016645795,0.0000012180532,5.5750416e-8,0.000020707485,0.00027805474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986888,0.00018287044,0.0005427986,0.00009093669,0.00030112528,0.00019342478],"domain_scores_gemma":[0.9989206,0.00036407012,0.0003526371,0.00017622106,0.000102305494,0.00008413133],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012308457,0.0001233708,0.00034018044,0.00014146706,0.000030044921,0.000025862459,0.00019975263,0.000091889764,0.00032981523],"category_scores_gemma":[0.001276956,0.000093296716,0.00016550558,0.00017255131,0.000029339702,0.0001577608,0.000017559916,0.00030185079,0.000003889405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007469539,0.00007379711,0.00032147477,0.000016616279,0.000044430264,0.000059330778,0.00055934506,0.0000044609046,0.00011525493,0.99690664,0.0010633734,0.00076058693],"study_design_scores_gemma":[0.0015179061,0.00012468334,0.00038270833,0.00006272118,0.000031556694,0.00012632478,0.00022211642,0.0000053470785,0.0014904669,0.9941452,0.0017862157,0.00010472806],"about_ca_topic_score_codex":0.000001651779,"about_ca_topic_score_gemma":0.0000012511749,"teacher_disagreement_score":0.0030156195,"about_ca_system_score_codex":0.00006022051,"about_ca_system_score_gemma":0.00010312887,"threshold_uncertainty_score":0.38045296},"labels":[],"label_agreement":null},{"id":"W2093590726","doi":"10.4153/cjm-2013-012-2","title":"Quantum Drinfeld Hecke Algebras","year":2013,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Pure mathematics; Polynomial ring; Hecke algebra; Noncommutative geometry; Automorphism; Semidirect product; Ring (chemistry); Quantum group; Polynomial; Quantum; Quantum cohomology; Algebra over a field; Group (periodic table); Cohomology; Mathematical analysis; Equivariant cohomology; Quantum mechanics","score_opus":0.03114111232883987,"score_gpt":0.2541001549443039,"score_spread":0.222959042615464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093590726","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915416,0.00021496072,0.0027387906,0.0007468773,0.0012325483,0.00022672238,0.000002962787,0.000017652865,0.0032778408],"genre_scores_gemma":[0.98685235,0.0000072627727,0.01211817,0.00016672187,0.00034090033,0.000004989258,4.3705978e-7,0.000045356763,0.00046382027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837726,0.000036089536,0.00075130176,0.000104608065,0.00031697573,0.00041377504],"domain_scores_gemma":[0.99774235,0.0002848568,0.00047806578,0.00035432598,0.00039343114,0.00074696174],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00034129823,0.00020528022,0.00045325066,0.00021994075,0.00012954844,0.00014508392,0.00050042657,0.00013964203,0.0016591968],"category_scores_gemma":[0.0008025734,0.00016328775,0.00019872941,0.0001614591,0.0000869096,0.00023299563,0.00002114472,0.00032177902,0.0001562282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000010090948,0.000030771742,0.00027552032,0.00008251156,0.00007923214,0.000038578928,0.0011352793,0.0000052236924,0.000033887183,0.96881634,0.029180259,0.00032138213],"study_design_scores_gemma":[0.00031817766,0.000086811546,0.00020854916,0.00012080027,0.00005451211,0.00027663578,0.0009457789,0.00023894804,0.00019902551,0.995646,0.0017185495,0.00018623249],"about_ca_topic_score_codex":0.0008814748,"about_ca_topic_score_gemma":0.00085652166,"teacher_disagreement_score":0.02746171,"about_ca_system_score_codex":0.00012351497,"about_ca_system_score_gemma":0.00064694905,"threshold_uncertainty_score":0.9992534},"labels":[],"label_agreement":null},{"id":"W2093715454","doi":"10.1090/s0002-9947-09-04693-5","title":"Degeneration of A-infinity modules","year":2009,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Sherbrooke","keywords":"Mathematics; Infinity; Degeneration (medical); Pure mathematics; Calculus (dental); Mathematical analysis; Medicine; Pathology; Orthodontics","score_opus":0.02049962050183347,"score_gpt":0.2748856342515287,"score_spread":0.2543860137496952,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093715454","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7186108,0.000093547234,0.27790803,0.0013936554,0.00023514926,0.00046955867,0.000049726517,0.000043645847,0.0011958511],"genre_scores_gemma":[0.96755487,0.00009065915,0.031733267,0.00013684026,0.00007663028,0.000008006636,0.0000010059102,0.00002578084,0.0003729706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99769527,0.00015807997,0.0009363148,0.00025909263,0.00063579826,0.0003154243],"domain_scores_gemma":[0.9974774,0.00037638328,0.00092430064,0.00092495885,0.00019580191,0.00010113714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034226585,0.00030724326,0.00090845546,0.000028140663,0.00024262842,0.000022912798,0.00058286195,0.00014396178,0.00023956539],"category_scores_gemma":[0.00011560768,0.00022048273,0.001257584,0.00060859334,0.0008977856,0.000098807635,0.000022983955,0.00037863015,0.0000058102623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007682516,0.0014943755,0.000027492693,0.0006225339,0.00047922164,1.7305874e-7,0.005132359,0.0010809958,0.007860954,0.9742851,0.0006336087,0.0083063645],"study_design_scores_gemma":[0.0004221675,0.00038141312,0.0008017483,0.00018352302,0.0006155062,0.0000059842837,0.001221841,0.008438244,0.018954443,0.9686864,0.000039248356,0.0002494757],"about_ca_topic_score_codex":0.00006397128,"about_ca_topic_score_gemma":0.0000027213873,"teacher_disagreement_score":0.248944,"about_ca_system_score_codex":0.00008047117,"about_ca_system_score_gemma":0.000099301295,"threshold_uncertainty_score":0.89910245},"labels":[],"label_agreement":null},{"id":"W2093785556","doi":"10.1007/s10468-006-9018-1","title":"Quivers with Relations and Cluster Tilted Algebras","year":2006,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":122,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Quiver; Cluster algebra; Mathematics; Endomorphism; Cluster (spacecraft); Connection (principal bundle); Pure mathematics; Algebra over a field; Jordan algebra; Path (computing); Cellular algebra; Division algebra; Dynkin diagram; Algebra representation; Geometry; Lie algebra; Physics; Computer science","score_opus":0.012150619322177458,"score_gpt":0.25907287400574663,"score_spread":0.24692225468356918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093785556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98521256,0.0002630758,0.0064484654,0.00039644758,0.00013450555,0.00030291235,0.0000029589041,0.00008876263,0.0071502905],"genre_scores_gemma":[0.9952444,0.000020447917,0.0017628781,0.00011594523,0.00012531057,0.000019192887,0.000013477599,0.000026750064,0.0026716082],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989691,0.0001325514,0.00022738901,0.00030452822,0.0001926531,0.00017381064],"domain_scores_gemma":[0.9989718,0.0005436242,0.00012389325,0.00022903667,0.000063820065,0.00006782732],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001969356,0.00016091138,0.00018433091,0.0000819798,0.00023809468,0.00007323939,0.00006698095,0.00009560593,0.00016009212],"category_scores_gemma":[0.00006936666,0.000119708304,0.000035789457,0.00014881411,0.0002024867,0.00021201705,0.000057658002,0.00011587536,0.0000054599136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009136325,0.000024935724,0.0050723692,0.000014223432,0.000049538383,0.0000028567624,0.00049332617,0.00001669989,0.00007397355,0.9925098,0.0009104987,0.00074040407],"study_design_scores_gemma":[0.0010265235,0.000054510685,0.014115881,0.000019536697,0.00009048776,0.00003158645,0.00064132473,0.00010709546,0.00032209422,0.98320824,0.00020871754,0.00017399999],"about_ca_topic_score_codex":0.00009490435,"about_ca_topic_score_gemma":0.00002705438,"teacher_disagreement_score":0.010031808,"about_ca_system_score_codex":0.000015582189,"about_ca_system_score_gemma":0.000021121814,"threshold_uncertainty_score":0.4881563},"labels":[],"label_agreement":null},{"id":"W2093980678","doi":"10.1007/s10998-005-0004-x","title":"An Lp-view of the Bahadur-Kiefer Theorem","year":2005,"lang":"en","type":"article","venue":"Periodica Mathematica Hungarica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics","score_opus":0.023403681706596232,"score_gpt":0.2898838434474205,"score_spread":0.2664801617408243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093980678","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9486087,0.0005670876,0.0043210215,0.0052112774,0.0006697112,0.0015110299,0.000022512142,0.00038011582,0.03870852],"genre_scores_gemma":[0.98580706,0.0000173655,0.012937542,0.00030970716,0.00026616678,0.000055177938,0.0000014404155,0.000064167965,0.0005413574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974762,0.00020554468,0.00078370527,0.00038168667,0.0007193493,0.00043351852],"domain_scores_gemma":[0.9972789,0.00040754522,0.00038044035,0.0016345634,0.00013411065,0.00016439945],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005351782,0.0003419727,0.000644456,0.000062285,0.0003244181,0.000092059556,0.0011876645,0.00018140703,0.0016590179],"category_scores_gemma":[0.00047429177,0.00021036531,0.0003239347,0.000306724,0.00036808098,0.00018518015,0.00021613791,0.00032433475,0.000056890003],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016054279,0.00033322984,0.00005261782,0.00018072108,0.00006010411,7.001887e-7,0.0029361176,0.000004253805,0.00051658304,0.99071014,0.0014014962,0.0037879928],"study_design_scores_gemma":[0.00042762,0.00008779356,0.00030772563,0.00012812225,0.00013662122,0.00003425418,0.00021013008,0.00095772714,0.0026295101,0.986913,0.007861923,0.00030557474],"about_ca_topic_score_codex":0.0000092688215,"about_ca_topic_score_gemma":0.000007695482,"teacher_disagreement_score":0.038167164,"about_ca_system_score_codex":0.000060435566,"about_ca_system_score_gemma":0.000115914256,"threshold_uncertainty_score":0.99925363},"labels":[],"label_agreement":null},{"id":"W2095115536","doi":"10.1006/aima.2001.2006","title":"The Automorphisms of Affine Fusion Rings","year":2002,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Automorphism; Affine transformation; Pure mathematics; Fusion; Automorphisms of the symmetric and alternating groups; Algebra over a field; Linguistics","score_opus":0.02364787618044513,"score_gpt":0.283596214662474,"score_spread":0.25994833848202886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095115536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9181927,0.010804263,0.008414784,0.00080489303,0.0020608392,0.0011405844,0.000006675081,0.00024010382,0.05833519],"genre_scores_gemma":[0.9721197,0.0015031311,0.025118018,0.000016974405,0.00007369534,0.000024047882,3.4882345e-7,0.000028721273,0.0011153793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988175,0.000025640215,0.00049313356,0.0001336592,0.00031078025,0.00021927558],"domain_scores_gemma":[0.99830765,0.0009149602,0.00026931585,0.00042664766,0.00005168218,0.00002976164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002718187,0.00014124495,0.00027426437,0.000042576547,0.000093844275,0.000015846963,0.0003496144,0.00006270119,0.00019180574],"category_scores_gemma":[0.00046044413,0.00009136514,0.00006659548,0.0002090028,0.00011563459,0.00012986554,0.00009121954,0.00013628308,0.0000097690245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000038760486,0.000105783816,0.0000617511,0.00013199693,0.0000075147345,0.0000019984377,0.0011959953,0.000049154834,0.000056597815,0.987306,0.00022445213,0.0108548915],"study_design_scores_gemma":[0.00031529498,0.0000376675,0.000026529438,0.00010369107,0.000011635891,0.000006322349,0.00021729643,0.005419607,0.0005316632,0.9897526,0.0034798735,0.00009784641],"about_ca_topic_score_codex":0.0000018487508,"about_ca_topic_score_gemma":0.000010471676,"teacher_disagreement_score":0.057219807,"about_ca_system_score_codex":0.00003005283,"about_ca_system_score_gemma":0.000005536002,"threshold_uncertainty_score":0.37257624},"labels":[],"label_agreement":null},{"id":"W2095373260","doi":"10.1016/j.aim.2005.11.012","title":"Hermitian representations of the extended affine Lie algebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mrow><mml:msub><mml:mi mathvariant=\"fraktur\">gl</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mi mathvariant=\"double-struck\">C</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow><mml:mo>˜</mml:mo></mml:mover></mml:math>","year":2006,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Hermitian matrix; Covariance and contravariance of vectors; Algebra over a field; Affine transformation; Lie algebra; Pure mathematics; Stress (linguistics); Computer science","score_opus":0.015719565868259767,"score_gpt":0.25690731739649214,"score_spread":0.24118775152823238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095373260","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7609055,0.0043925163,0.0035655282,0.0013995374,0.008608723,0.00035316678,0.0020022735,0.00081549346,0.21795727],"genre_scores_gemma":[0.97118884,0.0035999317,0.011278497,0.0017052903,0.0044364342,0.0027239989,0.0021423246,0.002389143,0.00053552043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.97557247,0.0011992083,0.0063243145,0.0044431905,0.006785669,0.0056751496],"domain_scores_gemma":[0.9783242,0.005113007,0.007422965,0.0062600174,0.00069972925,0.0021800958],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0039894558,0.0028012272,0.0013892662,0.0013860551,0.0036939774,0.0034326732,0.006764389,0.0056279874,0.16059937],"category_scores_gemma":[0.0044295634,0.004873103,0.0046352525,0.0036127279,0.0040283445,0.0041201795,0.005468135,0.0045729303,0.0019680415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0026834498,0.0014321274,0.00004079562,0.0041358033,0.0034696956,0.0018898762,0.0044361185,0.006750021,0.0019227713,0.8315233,0.13884078,0.002875247],"study_design_scores_gemma":[0.0070460844,0.0024395962,0.00011821991,0.0045636767,0.0049955067,0.0032904306,0.0071762623,0.040842105,0.8150339,0.10638454,0.003245694,0.004863969],"about_ca_topic_score_codex":0.0034351812,"about_ca_topic_score_gemma":0.004288324,"teacher_disagreement_score":0.8131111,"about_ca_system_score_codex":0.00009996758,"about_ca_system_score_gemma":0.003187694,"threshold_uncertainty_score":0.99880904},"labels":[],"label_agreement":null},{"id":"W2095459690","doi":"10.4153/cjm-2013-048-3","title":"A Skolem–Mahler–Lech Theorem for Iterated Automorphisms of<i>K</i>–algebras","year":2013,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Automorphism; Iterated function; Type (biology); Commutative property; Field (mathematics); Finite field; Scheme (mathematics); Algebraic number; Sigma; Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.029344977621755915,"score_gpt":0.2577388035248189,"score_spread":0.228393825903063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095459690","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9757495,0.0002953803,0.020312835,0.00083078025,0.0010468476,0.0007998313,0.000036528905,0.000022477867,0.00090584136],"genre_scores_gemma":[0.9419862,0.000005383121,0.057201862,0.000118852186,0.00022090776,0.000018258406,0.000002315645,0.0000626271,0.00038360833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980765,0.00004734465,0.0010357678,0.0001275067,0.00029559556,0.0004172643],"domain_scores_gemma":[0.99673164,0.0006153631,0.0008778298,0.00036143887,0.0009061899,0.0005075257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055034045,0.00024060221,0.000667647,0.0002751523,0.00011221802,0.000097888296,0.00053536054,0.00017625652,0.0005032382],"category_scores_gemma":[0.0009977882,0.00019017248,0.00029015524,0.00022624385,0.0000897052,0.0001873859,0.00001859358,0.0002259228,0.000010937918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000076167103,0.00006613586,0.00007952194,0.00034518915,0.00020257325,0.000014024748,0.0028478894,0.000016602173,0.0004578351,0.9761179,0.019002253,0.00084245525],"study_design_scores_gemma":[0.00076719234,0.00020523448,0.000034028522,0.00026830222,0.00012130515,0.00015499633,0.0004647535,0.0007961022,0.00235224,0.99378586,0.00086256716,0.00018740955],"about_ca_topic_score_codex":0.00036916943,"about_ca_topic_score_gemma":0.00044707314,"teacher_disagreement_score":0.036889028,"about_ca_system_score_codex":0.00018518721,"about_ca_system_score_gemma":0.00080498774,"threshold_uncertainty_score":0.77550083},"labels":[],"label_agreement":null},{"id":"W2095884939","doi":"10.1112/s0010437x11005483","title":"Cluster algebras via cluster categories with infinite-dimensional morphism spaces","year":2011,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":105,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Cluster algebra; Mathematics; Bijection; Morphism; Cluster (spacecraft); Pure mathematics; Invariant (physics); Categorical variable; Algebra over a field; Combinatorics","score_opus":0.031470216899641044,"score_gpt":0.2495792200364334,"score_spread":0.21810900313679235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095884939","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9434999,0.00009006259,0.037429933,0.000578162,0.0005534763,0.00093067146,0.000008480879,0.0003755546,0.016533714],"genre_scores_gemma":[0.9371883,0.0000015041179,0.06150669,0.00047971742,0.0001636734,0.00008547009,0.000008675448,0.00008930936,0.0004766498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99788976,0.00009999531,0.00054855767,0.00042108985,0.00056147145,0.0004791001],"domain_scores_gemma":[0.9980585,0.00053365127,0.0002834301,0.0007331992,0.0001947078,0.00019649816],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00023191005,0.00045164605,0.0005945854,0.00012897774,0.00026405157,0.00009848355,0.00041062184,0.00018073319,0.0009643049],"category_scores_gemma":[0.000055727454,0.00032535044,0.0001423497,0.00019878274,0.00026781892,0.00026132702,0.00022371845,0.00027726832,0.00017443228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025764134,0.00034333728,0.00010831986,0.00024381148,0.00023625368,0.000031222975,0.005283458,0.000015286078,0.00016298331,0.9900054,0.003230206,0.00008212376],"study_design_scores_gemma":[0.0011048276,0.00026097172,0.00012757818,0.00015675643,0.00018463889,0.00026029686,0.00014745032,0.001326458,0.0022360983,0.9935802,0.00012117579,0.00049351814],"about_ca_topic_score_codex":0.000028304641,"about_ca_topic_score_gemma":0.000009344957,"teacher_disagreement_score":0.024076758,"about_ca_system_score_codex":0.000052712123,"about_ca_system_score_gemma":0.000060433475,"threshold_uncertainty_score":0.999949},"labels":[],"label_agreement":null},{"id":"W2096027073","doi":"10.1142/s1793042112500571","title":"RATIONAL EQUIVARIANT FORMS","year":2012,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; Université de Montréal; Concordia University","funders":"","keywords":"Equivariant map; Mathematics; Pure mathematics; Modular form; Modular curve; Modular design; Action (physics); Upper half-plane; Algebra over a field; Parametrization (atmospheric modeling); Computer science","score_opus":0.03300275658279919,"score_gpt":0.34390022307872664,"score_spread":0.3108974664959274,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096027073","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87074584,0.00023974909,0.052090645,0.0011872664,0.016124165,0.00014780951,0.00005421603,0.000043777538,0.05936656],"genre_scores_gemma":[0.99356365,0.0000067867354,0.0032131223,0.0002481268,0.0024041687,0.0000021954422,0.0000043642262,0.000015476513,0.00054211996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986933,0.00006934952,0.00041164807,0.000053869255,0.0006099761,0.00016189163],"domain_scores_gemma":[0.9985063,0.0005617582,0.00037677772,0.000094423754,0.00035918516,0.000101536214],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007488455,0.00009818906,0.00015137072,0.00006185484,0.000035637833,0.000039003113,0.00039356342,0.000058890517,0.006595837],"category_scores_gemma":[0.0005329361,0.00007106456,0.0001621972,0.000040245737,0.000036513342,0.0004722993,0.000069333466,0.00017331597,0.00004851945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013401727,0.00010292493,0.0007264224,0.000002473386,0.00021863224,0.000009556095,0.00038898355,0.0000025618701,0.00006043016,0.991584,0.00519993,0.0015700433],"study_design_scores_gemma":[0.0004986611,0.000018802057,0.00070658437,0.000030168256,0.000025701533,0.0005917573,0.0001221029,0.0000062269337,0.00030784495,0.98458976,0.013018725,0.00008369196],"about_ca_topic_score_codex":9.0445366e-7,"about_ca_topic_score_gemma":2.31898e-7,"teacher_disagreement_score":0.12281783,"about_ca_system_score_codex":0.00009008974,"about_ca_system_score_gemma":0.00006198843,"threshold_uncertainty_score":0.9943123},"labels":[],"label_agreement":null},{"id":"W2096410438","doi":"10.7146/math.scand.a-14418","title":"Symmetry in the vanishing of Ext over Gorenstein rings","year":2003,"lang":"en","type":"article","venue":"MATHEMATICA SCANDINAVICA","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":91,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"University of Kansas; National Science Foundation","keywords":"Mathematics; Finitely-generated abelian group; Local ring; Class (philosophy); Pure mathematics; Local symmetry; Symmetry (geometry); Ring (chemistry); Combinatorics; Geometry; Physics; Computer science; Chemistry; Particle physics","score_opus":0.03066563130530035,"score_gpt":0.2995307009998782,"score_spread":0.26886506969457785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096410438","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94676214,0.0000978956,0.00086405897,0.00010270355,0.0001882079,0.0004013659,0.0000023179866,0.00003493326,0.0515464],"genre_scores_gemma":[0.9958734,0.0000052121277,0.0038088164,0.00007383461,0.000037434253,0.00003309461,6.2544825e-7,0.000030138262,0.00013745141],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982207,0.00016029662,0.0005586442,0.00023250775,0.0004945125,0.00033337247],"domain_scores_gemma":[0.9981249,0.0009323585,0.00023198508,0.0006210388,0.000037048947,0.000052648964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090930075,0.00021360781,0.0004406874,0.00009362759,0.00008454002,0.0000562274,0.00045365476,0.000116346724,0.0003374027],"category_scores_gemma":[0.0007411831,0.00014088888,0.00013689874,0.000397399,0.00008944785,0.000100959725,0.000056094614,0.00024123056,0.000009366674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007463223,0.00012829655,0.0005290589,0.0001889806,0.000019709518,0.0000060100933,0.0025004803,6.352571e-7,0.00009819968,0.9959601,0.0004482099,0.000112837035],"study_design_scores_gemma":[0.00054105127,0.000050542552,0.000530396,0.00018871677,0.000040925363,0.000028869828,0.0009806121,0.000056331464,0.0010238942,0.9960807,0.00031154806,0.00016638686],"about_ca_topic_score_codex":0.000022960761,"about_ca_topic_score_gemma":0.0000070708006,"teacher_disagreement_score":0.05140895,"about_ca_system_score_codex":0.000050790644,"about_ca_system_score_gemma":0.000031400872,"threshold_uncertainty_score":0.57452816},"labels":[],"label_agreement":null},{"id":"W2097726734","doi":"10.4171/owr/2013/44","title":"Matrix Factorizations in Algebra, Geometry, and Physics","year":2014,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Commutative ring; Matrix ring; Noncommutative geometry; Algebra over a field; Matrix (chemical analysis); Factorization; Ring theory; Singularity; Matrix multiplication; Associative algebra; Polynomial ring; Commutative algebra; Pure mathematics; Commutative property; Algebra representation; Polynomial; Geometry; Cellular algebra; Physics; Mathematical analysis","score_opus":0.020405661050836212,"score_gpt":0.2848667028451616,"score_spread":0.2644610417943254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2097726734","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9837724,0.00007336579,0.011962327,0.00007186436,0.0006429491,0.00020594106,0.0000013797314,0.000081197846,0.003188594],"genre_scores_gemma":[0.9971837,0.000008139532,0.0019190985,0.000030188423,0.00020683739,0.000015691849,0.0000072222965,0.000029765433,0.00059937866],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987256,0.000043717413,0.00042122498,0.00031406106,0.00025384486,0.00024155791],"domain_scores_gemma":[0.9990628,0.0001655261,0.00020559077,0.00042488478,0.000050423416,0.000090800015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002671569,0.00016945579,0.00028143477,0.000054662974,0.000082184844,0.000052683685,0.00007445028,0.00011463423,0.000060714843],"category_scores_gemma":[0.00042804907,0.00015442091,0.00005356796,0.0002505358,0.00003752497,0.00011555399,0.00008040868,0.00015479684,0.0000037717418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003040518,0.000063095344,0.046013366,0.00005022618,0.000018696448,0.0000285372,0.00025671284,0.00002622522,0.00011706225,0.94948304,0.00048770252,0.0034522736],"study_design_scores_gemma":[0.00020141074,0.0000233375,0.009983369,0.000018891838,0.000019163364,0.000059526832,0.00001959641,0.00027218752,0.00041070412,0.986825,0.0019817576,0.00018505688],"about_ca_topic_score_codex":0.00008392402,"about_ca_topic_score_gemma":0.000018476798,"teacher_disagreement_score":0.037341934,"about_ca_system_score_codex":0.000035561723,"about_ca_system_score_gemma":0.000027840742,"threshold_uncertainty_score":0.6297102},"labels":[],"label_agreement":null},{"id":"W2097857581","doi":"10.1016/j.jalgebra.2011.10.018","title":"Local Weyl modules for equivariant map algebras with free abelian group actions","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Hausdorff Research Institute for Mathematics; Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics","keywords":"Mathematics; Equivariant map; Pure mathematics; Functor; Abelian group; Tensor product; Affine Lie algebra; Algebra over a field; Universal enveloping algebra; Current algebra","score_opus":0.06211143598509313,"score_gpt":0.2800510629908491,"score_spread":0.21793962700575595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2097857581","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49121672,0.00033516547,0.5026798,0.0008937032,0.0026260987,0.0005603852,0.000023695946,0.00008208062,0.0015822977],"genre_scores_gemma":[0.93152297,0.000015535574,0.06747213,0.00012626617,0.0006017764,0.00001624436,0.0000015753766,0.00006634113,0.00017717652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981974,0.000050562976,0.00067582657,0.00021074955,0.00047224844,0.0003932526],"domain_scores_gemma":[0.99803704,0.0002337983,0.0006627351,0.00049384206,0.00033268202,0.00023992911],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038680056,0.0002730042,0.00050824473,0.00017479008,0.00017982496,0.000055644632,0.0006337152,0.00017031434,0.0002597418],"category_scores_gemma":[0.00014648773,0.00018980786,0.0002878661,0.00015552458,0.00012940231,0.00037888714,0.00008934476,0.00035436678,0.00000616951],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048499161,0.00023238621,0.00005321949,0.00007289702,0.00036759354,0.00003585958,0.0007468085,0.00000690865,0.00016216954,0.990323,0.0058978475,0.0016163219],"study_design_scores_gemma":[0.002263669,0.0012969269,0.0005012705,0.00012650032,0.0002720688,0.00024830748,0.00053110305,0.00010242322,0.0016347187,0.99069,0.0020724777,0.00026051994],"about_ca_topic_score_codex":0.000032124644,"about_ca_topic_score_gemma":0.00003935872,"teacher_disagreement_score":0.44030622,"about_ca_system_score_codex":0.000092835544,"about_ca_system_score_gemma":0.00011668436,"threshold_uncertainty_score":0.77401406},"labels":[],"label_agreement":null},{"id":"W2098018336","doi":"10.4171/qt/37","title":"Hecke algebras, finite general linear groups, and Heisenberg categorification","year":2013,"lang":"en","type":"article","venue":"Quantum Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Categorification; Mathematics; Pure mathematics; Algebra over a field","score_opus":0.03000141805166142,"score_gpt":0.2883995016804377,"score_spread":0.2583980836287763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2098018336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9934205,0.00029161974,0.0029038684,0.0013740091,0.0010378644,0.00026938453,0.0000025574577,0.00010101992,0.00059919787],"genre_scores_gemma":[0.9961309,0.000076797376,0.0020374188,0.0003049242,0.00049643865,0.00005610107,0.000014347734,0.000029656487,0.0008534066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988422,0.00009114199,0.00031292366,0.00031237243,0.00012101883,0.00032035974],"domain_scores_gemma":[0.99909574,0.00023664824,0.00012183979,0.00035712268,0.00008057845,0.00010807171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010817842,0.00018627399,0.0002859195,0.00006248147,0.00013103783,0.00003147993,0.00016697503,0.00021547174,0.0005727046],"category_scores_gemma":[0.00015636084,0.00015950642,0.000053638396,0.00009017115,0.00015105326,0.00011426574,0.0000755759,0.00017849127,0.00013896167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008673889,0.000028696479,0.0005304612,0.00001937162,0.000024236064,0.0000022465895,0.00018999312,0.0000028664501,0.0002933164,0.9959138,0.0024407597,0.00054557103],"study_design_scores_gemma":[0.00037711213,0.000110463414,0.0016280496,0.0000035920925,0.000022992375,0.000024339455,0.00012281523,0.005728796,0.00030867773,0.9898907,0.0015944019,0.00018806511],"about_ca_topic_score_codex":0.0004234522,"about_ca_topic_score_gemma":0.000014285592,"teacher_disagreement_score":0.0060231127,"about_ca_system_score_codex":0.000024926774,"about_ca_system_score_gemma":0.000028016551,"threshold_uncertainty_score":0.6504483},"labels":[],"label_agreement":null},{"id":"W2098101530","doi":"10.1016/s0012-365x(03)00128-6","title":"Simply connected incidence algebras","year":2003,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Universidad Nacional del Sur; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Mathematics; Incidence (geometry); Converse; Incidence algebra; Partially ordered set; Quiver; Combinatorics; Strongly connected component; Simply connected space; Discrete mathematics; Pure mathematics; Algebra over a field; Algebra representation; Cellular algebra; Geometry","score_opus":0.029255388882786837,"score_gpt":0.2962791128912523,"score_spread":0.26702372400846547,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2098101530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9311721,0.00009729081,0.03970531,0.0001573178,0.00069834944,0.0006058321,0.000011818407,0.0003719021,0.027180132],"genre_scores_gemma":[0.96048886,0.000011215827,0.03849657,0.00016523422,0.00008001283,0.000036956753,0.0000048868687,0.00007317347,0.00064308784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980525,0.000096295604,0.00057040324,0.0003283234,0.0004936651,0.0004588456],"domain_scores_gemma":[0.9979878,0.00069300336,0.00026372663,0.000759632,0.00013065431,0.00016516665],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003919353,0.0003296673,0.00047808257,0.000070248076,0.00017722187,0.00009264773,0.00037764345,0.00016295859,0.0006126595],"category_scores_gemma":[0.0021108298,0.00027066167,0.00016598102,0.00028993038,0.00009761825,0.00014641482,0.00008249252,0.0002278166,0.00008447126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040908126,0.000059771875,0.00006569709,0.00011208415,0.000047636742,0.000008390311,0.0015391102,0.000004133313,0.00014964132,0.99655885,0.0013993302,0.000051242274],"study_design_scores_gemma":[0.00045716966,0.000052611875,0.00002409417,0.00006665041,0.000069414964,0.000045329394,0.0010230014,0.00040121443,0.0032825582,0.9931281,0.0010865278,0.00036331767],"about_ca_topic_score_codex":0.000007940138,"about_ca_topic_score_gemma":0.000008371638,"teacher_disagreement_score":0.029316816,"about_ca_system_score_codex":0.00005567688,"about_ca_system_score_gemma":0.00007584081,"threshold_uncertainty_score":0.99997455},"labels":[],"label_agreement":null},{"id":"W2099862176","doi":"10.4153/cjm-2009-004-x","title":"Ascent Properties of Auslander Categories","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":83,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University; University of British Columbia","funders":"","keywords":"Mathematics; Homomorphism; Pure mathematics; Dimension (graph theory); Homomorphic encryption; Base (topology); Ring (chemistry); Algebra over a field; Mathematical analysis; Computer science","score_opus":0.04629385678578101,"score_gpt":0.2548599345086892,"score_spread":0.2085660777229082,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2099862176","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.996023,0.0006762258,0.0010926062,0.00048186575,0.00046569054,0.00011635842,0.0000019992285,0.0000067694305,0.0011355062],"genre_scores_gemma":[0.9959508,0.000010363956,0.003704719,0.000053330583,0.0001375911,4.920113e-7,1.563881e-7,0.0000137478855,0.00012875488],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998845,0.000023163151,0.00059870805,0.000060174705,0.00025509085,0.00021787586],"domain_scores_gemma":[0.9987214,0.000052361287,0.00044156393,0.00020850688,0.00031325527,0.00026289662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027944995,0.00013162113,0.0003955426,0.00013737488,0.0000642604,0.000034176857,0.0002791199,0.000080239464,0.00007356844],"category_scores_gemma":[0.00040813707,0.000093387906,0.00012596835,0.0000950193,0.000072830124,0.00009090646,0.000006542662,0.00015804033,0.0000021267567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009947158,0.000073550465,0.0001551932,0.00021498333,0.00009146931,0.000031023083,0.007788898,0.000019770287,0.00033813016,0.9879286,0.0027787243,0.0005696972],"study_design_scores_gemma":[0.00032057634,0.00016470093,0.00012959397,0.0002464832,0.000072661045,0.00013874871,0.0013192084,0.000039476043,0.004441381,0.9926491,0.00035731067,0.00012080709],"about_ca_topic_score_codex":0.00014226814,"about_ca_topic_score_gemma":0.00045421682,"teacher_disagreement_score":0.00646969,"about_ca_system_score_codex":0.000073681236,"about_ca_system_score_gemma":0.0006260787,"threshold_uncertainty_score":0.38082483},"labels":[],"label_agreement":null},{"id":"W2100401340","doi":"10.1016/j.jalgebra.2007.12.010","title":"Cluster-tilted algebras and slices","year":2008,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke","funders":"","keywords":"Quiver; Cluster (spacecraft); Extension (predicate logic); Cluster algebra; Relation (database); Pure mathematics; Mathematics; Algebra over a field; Physics; Computer science; Quantum mechanics; Data mining; Quantum","score_opus":0.03606002070577438,"score_gpt":0.29895794863445496,"score_spread":0.2628979279286806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100401340","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9914888,0.0023880142,0.0011046471,0.0006793224,0.0031680784,0.00027907704,0.0000068849035,0.000045259218,0.0008399269],"genre_scores_gemma":[0.9824958,0.0019461769,0.013037588,0.00027637745,0.001953406,0.000005817828,0.0000029074542,0.000087681314,0.00019428016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99715,0.00016159468,0.0012361127,0.00033875727,0.000773586,0.00033991586],"domain_scores_gemma":[0.9964059,0.00051923713,0.0018577195,0.00052399555,0.0004190716,0.00027405418],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004939178,0.00047762747,0.0011409571,0.00029821828,0.00013018581,0.00014658106,0.00069445604,0.0005822072,0.000094754054],"category_scores_gemma":[0.0005086163,0.00037996622,0.0004344,0.00011881747,0.00014536052,0.00018958833,0.0007183126,0.0014870744,0.0000038220805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010890899,0.0008049289,0.0020371825,0.0025084442,0.0040516984,0.0006923176,0.011434814,0.00025778185,0.00032943473,0.8723045,0.089474596,0.015015235],"study_design_scores_gemma":[0.0010883326,0.00020571859,0.000673775,0.00040768192,0.000268462,0.00082479994,0.00011777276,0.00011066159,0.00024639853,0.9936815,0.0019809029,0.00039398417],"about_ca_topic_score_codex":0.000018194969,"about_ca_topic_score_gemma":0.000003614248,"teacher_disagreement_score":0.121377036,"about_ca_system_score_codex":0.00009456096,"about_ca_system_score_gemma":0.000307643,"threshold_uncertainty_score":0.99986523},"labels":[],"label_agreement":null},{"id":"W2102737985","doi":"10.1007/s00031-013-9235-8","title":"A commutant realization of Odake’s algebra","year":2013,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Algebra over a field; Centralizer and normalizer; Algebra representation; Filtered algebra; Cellular algebra; Universal enveloping algebra; Current algebra; Subalgebra; Symmetric algebra; Realization (probability)","score_opus":0.025051875134301474,"score_gpt":0.2658593666911498,"score_spread":0.24080749155684833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102737985","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84401894,0.000025266623,0.1479075,0.00025196164,0.00021322606,0.00056580716,0.0000055272762,0.00010425515,0.0069075176],"genre_scores_gemma":[0.99897337,0.000016517643,0.0008080773,0.000062445884,0.000037265665,0.000037764694,0.00002133956,0.000014869419,0.000028346636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904,0.000043430988,0.00044718175,0.0000820693,0.00024697516,0.00014035057],"domain_scores_gemma":[0.9993979,0.00007640264,0.00013566607,0.00021635654,0.00012624676,0.000047460977],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012856134,0.00011063931,0.00019151845,0.00006478337,0.00006409921,0.000024584802,0.0001401839,0.00008368538,0.0004374851],"category_scores_gemma":[0.000027249658,0.00009325629,0.00007157043,0.00016118027,0.00003334204,0.00041150468,0.000009737493,0.00007753794,0.000025228985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008467296,0.000032937707,0.000038909144,0.00009631145,0.000016495802,7.2339944e-8,0.0034053796,0.000008939164,0.000368516,0.99325293,0.00039411194,0.002376942],"study_design_scores_gemma":[0.0005322798,0.000053345488,0.0006678813,0.000028248798,0.000021711292,0.0000037651823,0.00037128598,0.0013923425,0.002539047,0.9941203,0.00016166027,0.000108113694],"about_ca_topic_score_codex":0.00008577081,"about_ca_topic_score_gemma":0.000008793565,"teacher_disagreement_score":0.15495443,"about_ca_system_score_codex":0.00002457312,"about_ca_system_score_gemma":0.000015774556,"threshold_uncertainty_score":0.4790155},"labels":[],"label_agreement":null},{"id":"W2102982981","doi":"10.1353/ajm.2007.0022","title":"Factoring the adjoint and maximal Cohen-Macaulay modules over the generic determinant","year":2007,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University; University of Toronto","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Multiplicative function; Rank (graph theory); Factorization; Combinatorics; Square (algebra); Unique factorization domain; Matrix (chemical analysis); Pure mathematics; Field (mathematics); Variety (cybernetics); Algebra over a field; Discrete mathematics","score_opus":0.025945409214573598,"score_gpt":0.28743119367295195,"score_spread":0.26148578445837833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102982981","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97319186,0.00022365469,0.02567955,0.00027175908,0.0003625465,0.00013918946,0.0000013112932,0.000012263971,0.000117886826],"genre_scores_gemma":[0.9839287,0.00007352838,0.015432783,0.00013912257,0.00036101448,0.0000019717625,7.831616e-8,0.000034461398,0.000028352368],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982491,0.00006362779,0.0007214353,0.000114994575,0.00053481804,0.0003160153],"domain_scores_gemma":[0.9970336,0.0013017753,0.0010525559,0.00037289844,0.00012599975,0.000113156384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011931515,0.00021602695,0.00046286348,0.00006443514,0.00019601318,0.000075728356,0.00045221538,0.000042002324,0.000021858561],"category_scores_gemma":[0.0003259152,0.000101779246,0.00016729235,0.00018221702,0.000360492,0.00008687395,0.00012496764,0.00035492805,0.0000011652816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024615898,0.00060796546,0.003743202,0.0003484445,0.0011689509,0.00025874595,0.05329274,0.00015905715,0.0027152877,0.73356825,0.0013999777,0.20249124],"study_design_scores_gemma":[0.00071338844,0.00065299525,0.00916463,0.00019629262,0.00034809776,0.0016508164,0.013301569,0.001431664,0.0016386263,0.96907175,0.0014310766,0.00039912152],"about_ca_topic_score_codex":0.000015249491,"about_ca_topic_score_gemma":0.0000047785156,"teacher_disagreement_score":0.2355035,"about_ca_system_score_codex":0.000053147767,"about_ca_system_score_gemma":0.000037748512,"threshold_uncertainty_score":0.41504374},"labels":[],"label_agreement":null},{"id":"W2103568433","doi":"10.1017/s0013091510001604","title":"Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras","year":2012,"lang":"en","type":"article","venue":"Proceedings of the Edinburgh Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Subalgebra; Virasoro algebra; Pure mathematics; Series (stratigraphy); Class (philosophy); Verma module; Field (mathematics); Zero (linguistics); Algebra over a field; Lie algebra; Algebra representation; Cellular algebra; Computer science","score_opus":0.041492900932274604,"score_gpt":0.29396150028484525,"score_spread":0.25246859935257066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103568433","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99415344,0.00016045445,0.0006724069,0.00032298407,0.0006208527,0.0004912332,0.000006568083,0.00006888004,0.0035031955],"genre_scores_gemma":[0.9852652,0.000027237009,0.013466193,0.000044354383,0.0005281557,0.00005456813,9.608469e-7,0.000041270134,0.0005720394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976901,0.000011485354,0.00076804846,0.0002622439,0.00081267656,0.0004554882],"domain_scores_gemma":[0.9982148,0.0002943793,0.00071558845,0.00032569506,0.0003120014,0.00013755336],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008970416,0.00028458913,0.0006150156,0.000031152485,0.00016763958,0.00003908258,0.00061903294,0.00027628892,0.00044422928],"category_scores_gemma":[0.0007620166,0.00018790782,0.0006058922,0.0003481121,0.0003278374,0.0003734754,0.00031178916,0.00026430257,0.0000018636497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019984074,0.00032261203,0.001670324,0.0004269116,0.00015317793,8.224599e-9,0.0034418835,7.411996e-7,0.021474805,0.94655377,0.02585667,0.000079145546],"study_design_scores_gemma":[0.000543247,0.000029864128,0.0013068541,0.0001556003,0.00020328452,0.000004046793,0.0008885699,0.0014129196,0.032987434,0.96203923,0.00021833007,0.00021064396],"about_ca_topic_score_codex":0.000006893184,"about_ca_topic_score_gemma":6.684344e-8,"teacher_disagreement_score":0.02563834,"about_ca_system_score_codex":0.00007922084,"about_ca_system_score_gemma":0.000027440441,"threshold_uncertainty_score":0.76626587},"labels":[],"label_agreement":null},{"id":"W2105665846","doi":"10.1142/s0219498807002107","title":"FULLY BOUNDED NOETHERIAN RINGS AND FROBENIUS EXTENSIONS","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Mount Allison University","keywords":"Mathematics; Morphism; Noetherian; Bounded function; Noetherian ring; Ring (chemistry); TRACE (psycholinguistics); Pure mathematics; Frobenius group; Frobenius algebra; Element (criminal law); Local ring; Commutative property; Discrete mathematics; Algebra over a field; Mathematical analysis; Algebra representation","score_opus":0.021875428908289574,"score_gpt":0.29996341140177657,"score_spread":0.278087982493487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105665846","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98329353,0.0011520538,0.013822546,0.0006579996,0.00013978845,0.00020835637,0.0000022127895,0.000018026625,0.0007054819],"genre_scores_gemma":[0.99395156,0.0001575645,0.005269925,0.00014026042,0.000329805,0.0000052485693,4.47824e-7,0.000017164315,0.00012803578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908084,0.000014423629,0.00042639504,0.00012720666,0.00018285924,0.00016828848],"domain_scores_gemma":[0.998883,0.0002636287,0.00030590393,0.00014690719,0.00021245223,0.00018808576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036524772,0.00011797303,0.00023106408,0.000089912246,0.00021101294,0.00005567974,0.00012497402,0.00008994744,0.00003531985],"category_scores_gemma":[0.00010035705,0.00009336082,0.00005893876,0.0001270785,0.000054444903,0.0001308403,0.000049625367,0.00019750735,0.00000202637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026511043,0.000049036942,0.00010032143,0.00001985902,0.000043349304,0.0000033638407,0.00037832756,2.3712853e-7,0.002450044,0.9926572,0.00029902338,0.0039727157],"study_design_scores_gemma":[0.00053671777,0.000087511195,0.0034157722,0.000026441243,0.00007940083,0.00022839317,0.0002777393,0.000021150614,0.0010090084,0.9860638,0.00813354,0.0001205465],"about_ca_topic_score_codex":0.0000032444339,"about_ca_topic_score_gemma":0.0000058600885,"teacher_disagreement_score":0.010658015,"about_ca_system_score_codex":0.00001947342,"about_ca_system_score_gemma":0.000039478695,"threshold_uncertainty_score":0.38071436},"labels":[],"label_agreement":null},{"id":"W2106227424","doi":"10.1017/cbo9780511730054.015","title":"Quasi-finite Algebras Graded by Hamiltonian and Vertex Operator Algebras","year":2010,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Vertex operator algebra; Mathematics; Vertex (graph theory); Bimodule; Operator algebra; Subalgebra; Pure mathematics; Nest algebra; Interior algebra; Non-associative algebra; Associative property; Algebra representation; Algebra over a field; Universal enveloping algebra; Jordan algebra; Discrete mathematics; Graph","score_opus":0.021772397403660687,"score_gpt":0.21689013416293468,"score_spread":0.195117736759274,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106227424","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.044835337,0.0005068114,0.0005098506,0.000058427133,0.0017567764,0.0012756101,0.00051562744,0.0004451404,0.9500964],"genre_scores_gemma":[0.047539655,0.00016079927,0.0003584141,0.00016543761,0.00024592146,0.0000029525663,0.000074903466,0.00019529514,0.95125663],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99753696,0.0000680853,0.00040068594,0.0009592222,0.00050395884,0.00053106976],"domain_scores_gemma":[0.99759096,0.00033123372,0.00036956006,0.0010413597,0.00019791082,0.00046900287],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00013943306,0.0008439984,0.0009581206,0.00018605326,0.0004713264,0.00015202092,0.00081398734,0.0012365733,0.000028134737],"category_scores_gemma":[0.00006611935,0.00091966934,0.00029706876,0.00001577238,0.00051802414,0.00014686631,0.0006464932,0.0013514529,0.000013676336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081096965,0.00003266066,0.0000017649894,0.00012734665,0.0002774558,0.000110099296,0.00013725569,6.9272765e-8,0.00027998423,0.98398536,0.014711651,0.00025527924],"study_design_scores_gemma":[0.0024695932,0.00028884687,0.0000104433575,0.0002702688,0.0008026144,0.000049427363,0.00006140168,0.000033312288,0.00252636,0.079694204,0.9120603,0.0017332232],"about_ca_topic_score_codex":0.00014192997,"about_ca_topic_score_gemma":0.000009879022,"teacher_disagreement_score":0.90429115,"about_ca_system_score_codex":0.00014599912,"about_ca_system_score_gemma":0.00016494512,"threshold_uncertainty_score":0.9993254},"labels":[],"label_agreement":null},{"id":"W2107147719","doi":"10.1007/s00029-009-0015-1","title":"Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves","year":2009,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Equivariant map; Moduli space; Vertex (graph theory); Equivariant cohomology; Cohomology; Vector bundle; Moduli of algebraic curves; Realization (probability)","score_opus":0.01126735803572243,"score_gpt":0.2571013654873048,"score_spread":0.24583400745158235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107147719","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9956898,0.00044179117,0.00074287294,0.00069316843,0.00012220549,0.00041270646,0.000004181127,0.000032399803,0.0018608507],"genre_scores_gemma":[0.9930298,0.00004558893,0.0066976273,0.00006824365,0.000041007497,0.000007769719,5.765683e-7,0.000018480261,0.00009093628],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866253,0.00007784219,0.00046835496,0.00018923574,0.000392331,0.00020967647],"domain_scores_gemma":[0.99826366,0.0006541504,0.00023426909,0.00067018764,0.0001165856,0.00006112086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040171162,0.00019004184,0.00058384315,0.00008193033,0.00007881997,0.000029943794,0.00045074683,0.00011050302,0.0000706437],"category_scores_gemma":[0.0015259665,0.000114289745,0.00011020241,0.000301483,0.00021586863,0.0000640526,0.00010767825,0.00013896916,0.0000011346127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000073122224,0.00009345334,0.000021348973,0.00017327115,0.00006864675,3.4872855e-7,0.0019679866,0.0000018922796,0.00049969257,0.99525785,0.0015694991,0.00027287295],"study_design_scores_gemma":[0.001128942,0.00018253001,0.00012065241,0.00011744566,0.00008224109,0.000007455554,0.00037516988,0.0008650669,0.007774628,0.98919517,0.000025033181,0.00012568127],"about_ca_topic_score_codex":0.000013630648,"about_ca_topic_score_gemma":0.0000014626086,"teacher_disagreement_score":0.007274935,"about_ca_system_score_codex":0.000011971632,"about_ca_system_score_gemma":0.00004195935,"threshold_uncertainty_score":0.46606007},"labels":[],"label_agreement":null},{"id":"W2109674387","doi":"10.1063/1.4901546","title":"The principal indecomposable modules of the dilute Temperley-Lieb algebra","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Indecomposable module; Dimension (graph theory); Algebra over a field; Bilinear form; Cellular algebra; Algebra representation; Current algebra; Filtered algebra","score_opus":0.020812966430422127,"score_gpt":0.27008423315783925,"score_spread":0.24927126672741712,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109674387","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9766261,0.00006680878,0.018799623,0.0006971379,0.0007757123,0.0002355364,0.0000013570449,0.000025889527,0.0027718504],"genre_scores_gemma":[0.99520046,0.000008098593,0.003936472,0.000054230506,0.00056831713,0.0000031007191,6.933292e-8,0.000055089906,0.00017418902],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977943,0.00017055594,0.00088412414,0.00010625938,0.0007855988,0.00025917092],"domain_scores_gemma":[0.9964677,0.0016197992,0.00095786265,0.0006038011,0.0002560981,0.000094735195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093714846,0.00019366994,0.00052311993,0.000018412318,0.00017805255,0.000060044484,0.0008737348,0.00009111972,0.000029327577],"category_scores_gemma":[0.00089795253,0.00008963372,0.00041489274,0.00015166623,0.00022713347,0.00012315316,0.00018241415,0.0004230528,0.000010782214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025468358,0.00015365871,0.00004200272,0.000100859994,0.00010119982,3.8124136e-7,0.000340263,0.0000656877,0.00022365508,0.9964859,0.0016474911,0.0008134352],"study_design_scores_gemma":[0.00044709942,0.00010472378,0.00014428743,0.00015734279,0.00009892675,0.00002269412,0.00008625754,0.0017568825,0.0038465704,0.9925151,0.000714417,0.00010570817],"about_ca_topic_score_codex":9.0240223e-7,"about_ca_topic_score_gemma":5.290317e-7,"teacher_disagreement_score":0.018574348,"about_ca_system_score_codex":0.00003968838,"about_ca_system_score_gemma":0.00005929661,"threshold_uncertainty_score":0.36551574},"labels":[],"label_agreement":null},{"id":"W2109997581","doi":"10.1016/j.aim.2008.11.016","title":"Crystals, quiver varieties, and coboundary categories for Kac–Moody algebras","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Quiver; Mathematics; Pure mathematics; Interpretation (philosophy); Involution (esoterism); Enriched category; Algebra over a field; Functor; Linguistics","score_opus":0.028547220364877692,"score_gpt":0.29593680651954524,"score_spread":0.26738958615466757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109997581","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8652372,0.011027916,0.11214509,0.00023574091,0.0017071887,0.0019960115,0.00004456358,0.00030637108,0.0072999476],"genre_scores_gemma":[0.9202947,0.0013226238,0.07713115,0.00007520188,0.0001723162,0.000135078,0.000008617646,0.00006875356,0.0007915722],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985023,0.000028982555,0.0005137491,0.0003012187,0.00028900735,0.00036469847],"domain_scores_gemma":[0.99830955,0.0009402061,0.00021130693,0.0003653747,0.00009666998,0.000076860044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002371484,0.0002781335,0.00051048415,0.00008058004,0.00026197283,0.000042541888,0.00023583457,0.0001381364,0.00004480114],"category_scores_gemma":[0.00045226657,0.00024265883,0.00007539118,0.00016070172,0.00032682155,0.00040176985,0.000105178406,0.00016692159,0.0000025572513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027279562,0.00010520136,0.00029569035,0.00054976874,0.000025227328,0.000008641789,0.004597576,0.000015066348,0.000016324142,0.9934915,0.000435095,0.00043267914],"study_design_scores_gemma":[0.0008054697,0.00009304456,0.000084560656,0.000055968612,0.00003284031,0.000062220664,0.0009729677,0.00043571892,0.00016306607,0.9904388,0.006559917,0.00029540758],"about_ca_topic_score_codex":0.000008755478,"about_ca_topic_score_gemma":0.000023871979,"teacher_disagreement_score":0.05505751,"about_ca_system_score_codex":0.00005548862,"about_ca_system_score_gemma":0.000082267354,"threshold_uncertainty_score":0.989534},"labels":[],"label_agreement":null},{"id":"W2110087995","doi":"10.2298/pim0795003c","title":"Second cohomology and nilpotency class 2","year":2007,"lang":"en","type":"article","venue":"Publications de l Institut Mathematique","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Fredericton; University of New Brunswick","funders":"","keywords":"Mathematics; Nilpotent group; Nilpotent; Class (philosophy); Betti number; Pure mathematics; Variety (cybernetics); Cohomology; Projective variety; Group (periodic table); Group cohomology; Algebra over a field; Computer science; Artificial intelligence","score_opus":0.030724248584585397,"score_gpt":0.31057228094926453,"score_spread":0.27984803236467914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2110087995","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70708156,0.00012424788,0.12365234,0.0019676022,0.00028745134,0.00058763986,0.000007630472,0.0003481325,0.16594341],"genre_scores_gemma":[0.9704484,0.000016300246,0.026891224,0.00038609438,0.00013362322,0.00009338442,0.00000779527,0.000026220232,0.0019969968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987946,0.000037686776,0.00040435445,0.00026491538,0.00014377489,0.00035466344],"domain_scores_gemma":[0.9985597,0.0004561,0.00017561381,0.00048155186,0.00015693415,0.00017005797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077131373,0.00016983825,0.00023724487,0.0001839311,0.00019896094,0.00008001359,0.00027736864,0.00022222349,0.00038452036],"category_scores_gemma":[0.00078634004,0.00015611354,0.00005466252,0.00026999353,0.0001536346,0.00024903027,0.00009575627,0.00024432346,0.000016390692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041255284,0.000069190886,0.00031506363,0.000068330395,0.000025932753,0.0000024414412,0.00075303344,4.1957193e-7,0.00017047033,0.99586993,0.0021189298,0.00060212787],"study_design_scores_gemma":[0.00025875366,0.000020042733,0.0015908709,0.000013848392,0.000019610465,0.00020759308,0.00010145232,0.00009685493,0.00060931005,0.97465897,0.022254813,0.00016789122],"about_ca_topic_score_codex":0.0000120427885,"about_ca_topic_score_gemma":0.0001293815,"teacher_disagreement_score":0.26336682,"about_ca_system_score_codex":0.00009167381,"about_ca_system_score_gemma":0.00013082114,"threshold_uncertainty_score":0.63661253},"labels":[],"label_agreement":null},{"id":"W2112268955","doi":"10.1007/s00031-015-9300-6","title":"EXTENSIONS AND BLOCK DECOMPOSITIONS FOR FINITE-DIMENSIONAL REPRESENTATIONS OF EQUIVARIANT MAP ALGEBRAS","year":2015,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Equivariant map; Block (permutation group theory); Algebra over a field; Universal enveloping algebra; Affine Lie algebra; Lie algebra; Scheme (mathematics); Affine transformation; Type (biology); Algebra representation","score_opus":0.05968433385508084,"score_gpt":0.32419319331651747,"score_spread":0.26450885946143665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2112268955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7524468,0.0001258943,0.24193814,0.002286107,0.00067603355,0.0011698273,0.00013666626,0.000115007075,0.0011055671],"genre_scores_gemma":[0.98037034,0.000003877483,0.019292712,0.00007709703,0.00006152329,0.00006562183,0.000068518806,0.000015667887,0.000044635788],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898165,0.00003983352,0.00044250407,0.00014377998,0.00023596274,0.00015624982],"domain_scores_gemma":[0.9988005,0.0005063691,0.00011638978,0.00019002803,0.00026070597,0.00012597041],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022813462,0.000121917954,0.00020983985,0.00009579074,0.00014866865,0.000022313776,0.0000834348,0.000081579805,0.00002433287],"category_scores_gemma":[0.00013068817,0.000110028246,0.00008493738,0.00011282397,0.00005901389,0.0002448303,0.000020251955,0.00007406648,0.0000035439905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006924632,0.00007508496,0.000016899761,0.00006960201,0.00003957578,4.0957488e-7,0.0024946306,0.000505549,0.0003573688,0.995077,0.0011262377,0.0001684005],"study_design_scores_gemma":[0.0016156995,0.00012771545,0.00018815734,0.00003522216,0.000094714305,0.000017526234,0.0005248487,0.00873908,0.0011287094,0.98714113,0.00025524097,0.000131957],"about_ca_topic_score_codex":0.000018299977,"about_ca_topic_score_gemma":0.000009693937,"teacher_disagreement_score":0.2279236,"about_ca_system_score_codex":0.000021722843,"about_ca_system_score_gemma":0.000056617784,"threshold_uncertainty_score":0.44868216},"labels":[],"label_agreement":null},{"id":"W2112425798","doi":"10.1017/s1446788708000761","title":"STRONGLY GORENSTEIN FLAT MODULES","year":2009,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":114,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"Brock University","keywords":"Mathematics; Dimension (graph theory); Sequence (biology); Pure mathematics; Exact sequence; Flat module; Projective test; Projective module","score_opus":0.03713546338130739,"score_gpt":0.30173968344807933,"score_spread":0.2646042200667719,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2112425798","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98856455,0.000035340046,0.0028768382,0.006894774,0.0005695006,0.00019899878,0.0000024752114,0.000030063504,0.0008274488],"genre_scores_gemma":[0.9731526,0.000005747642,0.024475405,0.000176113,0.0004895724,8.158103e-7,1.2924866e-7,0.00001754117,0.0016821246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807316,0.000073556505,0.00072954444,0.00012295053,0.00067723455,0.00032353596],"domain_scores_gemma":[0.99853224,0.00020402328,0.0005518673,0.0004150994,0.00013868255,0.00015808002],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054963806,0.0002129775,0.00046919237,0.00001713644,0.0001444785,0.00007717307,0.0007064243,0.00017347923,0.00020584272],"category_scores_gemma":[0.0002955906,0.00011798362,0.00095278234,0.000161175,0.00011428246,0.00015311032,0.00006346087,0.00053625874,0.000009380647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021557607,0.00013971496,0.00004460682,0.00007000453,0.00016472778,0.000004799328,0.0009921291,0.000046401856,0.00088814896,0.95429945,0.0425844,0.0007440508],"study_design_scores_gemma":[0.00051066536,0.00012624897,0.0005940008,0.00014440042,0.00013378606,0.00010546127,0.00033788694,0.0001628407,0.0018187389,0.9954683,0.00045737493,0.00014029953],"about_ca_topic_score_codex":6.518251e-7,"about_ca_topic_score_gemma":1.549849e-7,"teacher_disagreement_score":0.042127024,"about_ca_system_score_codex":0.000101954276,"about_ca_system_score_gemma":0.00004460171,"threshold_uncertainty_score":0.48112324},"labels":[],"label_agreement":null},{"id":"W2113086505","doi":"10.1007/978-3-642-39485-0_12","title":"Acyclic Cluster Algebras Revisited","year":2013,"lang":"en","type":"book-chapter","venue":"Abel symposia","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Cluster (spacecraft); Computer science; Programming language","score_opus":0.02529112225301449,"score_gpt":0.26269143217809765,"score_spread":0.23740030992508315,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113086505","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0025371884,0.0019982066,0.00019938422,0.0004831087,0.0015952261,0.0013745594,0.00002239268,0.00036928643,0.9914206],"genre_scores_gemma":[0.03544841,0.00042570833,0.001308171,0.0012444686,0.0017525484,0.000070200775,0.00008210372,0.00040527136,0.95926315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99756134,0.00003363076,0.00072135247,0.0006599416,0.00056590413,0.00045783084],"domain_scores_gemma":[0.99764836,0.00027748372,0.00048406827,0.00121949,0.00016263279,0.00020796653],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00013865666,0.0007130719,0.00091260124,0.00014108639,0.00014256864,0.00013365598,0.00061670545,0.00091344235,0.0041946536],"category_scores_gemma":[0.000057892506,0.00061573647,0.00040452558,0.000041314946,0.00009566447,0.00013977646,0.00029705974,0.00065194146,0.0017278714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011855638,0.000013521287,0.000002544172,0.00012394688,0.00021945975,0.000009019957,0.000088269815,2.3100638e-7,0.00002302888,0.9257088,0.0728513,0.00094802206],"study_design_scores_gemma":[0.00046503992,0.000057745205,0.000008059297,0.0003176403,0.00023071007,0.000023448814,0.0000023798186,0.000019385609,0.000024021967,0.8130125,0.18527144,0.0005676207],"about_ca_topic_score_codex":0.000017674363,"about_ca_topic_score_gemma":0.0000021459086,"teacher_disagreement_score":0.1126963,"about_ca_system_score_codex":0.00012863461,"about_ca_system_score_gemma":0.00006251036,"threshold_uncertainty_score":0.9996294},"labels":[],"label_agreement":null},{"id":"W2114712503","doi":"10.4153/cmb-2010-020-7","title":"Towards the Full Mordell–Lang Conjecture for Drinfeld Modules","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Subvariety; Mathematics; Affine transformation; Conjecture; Rank (graph theory); Intersection (aeronautics); Pure mathematics; Complete intersection; Algebra over a field; Discrete mathematics; Combinatorics; Variety (cybernetics); Statistics","score_opus":0.030763985845523572,"score_gpt":0.267126090991012,"score_spread":0.23636210514548842,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114712503","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5464911,0.0008438558,0.10989866,0.21039076,0.0017882022,0.0062711206,0.0002081637,0.0006470981,0.123461075],"genre_scores_gemma":[0.9866899,0.0000042756005,0.008065078,0.0026573697,0.00046614168,0.00008273278,0.000007917503,0.00004521584,0.001981316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842376,0.0000447738,0.00037141505,0.00029130172,0.00025476134,0.0006139643],"domain_scores_gemma":[0.9983418,0.0005052708,0.000086681815,0.0005689217,0.000092201,0.00040511758],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003371286,0.00027837465,0.00038456003,0.00008990734,0.00028245122,0.00011509533,0.000510438,0.00021276141,0.0032001194],"category_scores_gemma":[0.0008641235,0.0001838287,0.0002084154,0.00013780127,0.00009096562,0.000021518521,0.000027084277,0.0002536352,0.00033751232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011789043,0.000020260988,6.473899e-7,0.000047086356,0.000024749119,0.0000067101632,0.00027012374,0.000007724615,0.000012366286,0.95168006,0.045876984,0.0020415003],"study_design_scores_gemma":[0.00035274954,0.00011580474,0.000016671418,0.000043054388,0.000051389947,0.000032466676,0.000113147406,0.0004758803,0.00011127911,0.9319782,0.06647302,0.00023631823],"about_ca_topic_score_codex":0.0001989873,"about_ca_topic_score_gemma":0.0003610774,"teacher_disagreement_score":0.44019887,"about_ca_system_score_codex":0.000117031894,"about_ca_system_score_gemma":0.00015686221,"threshold_uncertainty_score":0.99771106},"labels":[],"label_agreement":null},{"id":"W2115002164","doi":"10.1016/j.jpaa.2008.12.008","title":"On the Galois coverings of a cluster-tilted algebra","year":2009,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke","funders":"Université de Sherbrooke; National Science Foundation","keywords":"Mathematics; Algebra over a field; Cellular algebra; Cluster (spacecraft); Symmetric algebra; Filtered algebra; Pure mathematics; Algebra representation; Computer science","score_opus":0.014844825526351451,"score_gpt":0.24797942158319694,"score_spread":0.2331345960568455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115002164","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99469453,0.00013715925,0.00079186703,0.0013811613,0.00018619001,0.00019411626,0.0000019827137,0.000012746239,0.0026002498],"genre_scores_gemma":[0.99805284,0.000033376687,0.0006056051,0.0009821709,0.00026101898,0.00000201242,3.5515686e-7,0.000016310712,0.000046321766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863994,0.00003504588,0.0005574879,0.00013277974,0.0004372394,0.00019750092],"domain_scores_gemma":[0.9985398,0.00042784476,0.00059870444,0.0002399777,0.000097463686,0.00009622542],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003966377,0.00019610452,0.00045010826,0.00008344053,0.00009209471,0.00004738053,0.00029834025,0.000117399904,0.000080067],"category_scores_gemma":[0.00012778651,0.00011577377,0.00015623351,0.00015553148,0.000060581955,0.000070529044,0.00004230929,0.0003646209,0.000001986694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022161099,0.000090918904,0.000007902353,0.000024085155,0.00007658354,0.0000034944633,0.00060583994,0.000012547347,0.0022312456,0.9900984,0.0045501324,0.0020772375],"study_design_scores_gemma":[0.0009912922,0.00041095604,0.00034282365,0.000079009566,0.00007986109,0.00004851681,0.0002280621,0.000017617444,0.0051166615,0.9921446,0.00041308653,0.00012755622],"about_ca_topic_score_codex":0.0000010576314,"about_ca_topic_score_gemma":6.118525e-7,"teacher_disagreement_score":0.004137046,"about_ca_system_score_codex":0.000021898206,"about_ca_system_score_gemma":0.00004192459,"threshold_uncertainty_score":0.47211173},"labels":[],"label_agreement":null},{"id":"W2115461190","doi":"10.48550/arxiv.0711.3799","title":"Descent constructions for central extensions of infinite dimensional Lie algebras","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Descent (aeronautics); Mathematics; Pure mathematics; Automorphism; Affine transformation; Lie algebra; Affine Lie algebra; Simple (philosophy); Non-associative algebra; Algebra over a field; Construct (python library); Lie conformal algebra; Computer science; Physics; Current algebra","score_opus":0.1018239818003311,"score_gpt":0.3342533583863935,"score_spread":0.2324293765860624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115461190","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9868231,0.00026329258,0.006250048,0.00017142427,0.0049849604,0.0009872894,0.00013630961,0.00011440719,0.00026919474],"genre_scores_gemma":[0.98666865,0.00004425254,0.012114832,0.00015138937,0.00064876344,0.00006562091,0.00008172642,0.000075178286,0.00014958542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974209,0.000054833537,0.00092528353,0.0005846683,0.00042097058,0.0005933108],"domain_scores_gemma":[0.9970636,0.0007737344,0.000595462,0.00084294425,0.00049215107,0.00023212357],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00025173812,0.00044715637,0.00076279027,0.00017993378,0.00020778677,0.000024013672,0.00038165576,0.0005776733,0.00017616236],"category_scores_gemma":[0.0006080962,0.00041587834,0.00052643695,0.00014512685,0.00021443547,0.000054079024,0.00058924383,0.0006725686,0.000008345328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016095086,0.00032263726,0.03470399,0.00048479863,0.00048610073,0.000010163649,0.0004157785,0.00024030988,0.0005926331,0.959265,0.0027843341,0.00053330587],"study_design_scores_gemma":[0.0009755336,0.00008246148,0.027384037,0.00036996216,0.00035666986,0.000023248496,0.000096583506,0.00022009491,0.0024622313,0.9667572,0.00078227575,0.0004897107],"about_ca_topic_score_codex":0.000053755975,"about_ca_topic_score_gemma":0.000016841617,"teacher_disagreement_score":0.007492193,"about_ca_system_score_codex":0.00012329347,"about_ca_system_score_gemma":0.00038395607,"threshold_uncertainty_score":0.9998293},"labels":[],"label_agreement":null},{"id":"W2115488753","doi":"10.1112/s0010437x14008070","title":"On the derived category of Grassmannians in arbitrary characteristic","year":2015,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital","funders":"Natural Sciences and Engineering Research Council of Canada; Mathematisches Forschungsinstitut Oberwolfach; Fonds Wetenschappelijk Onderzoek; National Science Foundation","keywords":"Endomorphism; Ring (chemistry); Simple (philosophy); Simple module; Dual (grammatical number); Projective test; Construct (python library); Endomorphism ring","score_opus":0.07119287320034236,"score_gpt":0.2931106919847204,"score_spread":0.22191781878437805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115488753","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98670965,0.000030358698,0.0019586594,0.0005417941,0.00019883424,0.0003755127,0.0000044912526,0.000046125733,0.010134578],"genre_scores_gemma":[0.9984413,0.0000016166753,0.0012200029,0.00016557088,0.000045284178,0.0000466814,0.000003210866,0.000026576346,0.000049788792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987812,0.00011482646,0.0004287273,0.00016481694,0.00030551525,0.00020488688],"domain_scores_gemma":[0.9983014,0.0008771923,0.00018327055,0.00049000024,0.00006983199,0.00007828957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033210273,0.00017543879,0.0003685613,0.00007365285,0.00004739801,0.000024402092,0.00034637027,0.000074123906,0.000074862175],"category_scores_gemma":[0.00029255138,0.00011732231,0.00008220603,0.00014778214,0.000099037294,0.00005088977,0.00006623049,0.00019603678,0.000030721392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004053991,0.0001985397,0.000021544734,0.00009075005,0.000024215376,0.000009490018,0.0019599898,0.0000035742466,0.00071218243,0.9961016,0.00081353565,0.000023992561],"study_design_scores_gemma":[0.00040173263,0.00010618918,0.000353722,0.00015223223,0.00002513938,0.000014299918,0.00026024514,0.0006720533,0.0022552111,0.99561906,0.000010841801,0.00012925541],"about_ca_topic_score_codex":0.000008792849,"about_ca_topic_score_gemma":0.0000017985825,"teacher_disagreement_score":0.011731622,"about_ca_system_score_codex":0.000050608596,"about_ca_system_score_gemma":0.00006189213,"threshold_uncertainty_score":0.47842652},"labels":[],"label_agreement":null},{"id":"W2117170809","doi":"10.1142/s0129055x00000265","title":"THE CAPPELLI–ITZYKSON–ZUBER A-D-E CLASSIFICATION","year":2000,"lang":"en","type":"article","venue":"Reviews in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Affine transformation; Invariant (physics); Conformal map; Algebra over a field; Mathematical structure; Modular invariance; Modular design; Field (mathematics)","score_opus":0.08292667476071579,"score_gpt":0.3468544493012745,"score_spread":0.2639277745405587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2117170809","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47061402,0.020923521,0.047644764,0.0046397056,0.001895105,0.011222797,0.000012899202,0.0007193553,0.44232786],"genre_scores_gemma":[0.9449903,0.018167073,0.020351352,0.0006518975,0.0018030498,0.00091627665,0.000011243726,0.00022818433,0.01288067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981072,0.00020075496,0.00076430774,0.00025986778,0.00032272266,0.00034515763],"domain_scores_gemma":[0.99814326,0.00079952367,0.00015977741,0.00079187687,0.000032959088,0.000072612995],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00077710964,0.00023282033,0.0005122647,0.000012789354,0.00015645898,0.000068056455,0.00042079217,0.000096313626,0.0005102269],"category_scores_gemma":[0.00034381205,0.00013808023,0.00019815232,0.000291659,0.000115668845,0.000099280296,0.00003708452,0.00028624982,0.00084753847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005312671,0.00011328502,0.0000064189317,0.0001379996,0.000007956567,5.6214924e-7,0.00018955421,0.00000247699,0.000008730254,0.90811765,0.0018691783,0.089540854],"study_design_scores_gemma":[0.00016492236,0.000016123162,0.000025689202,0.0001946913,0.000026966589,0.0000030642632,0.000027106353,0.0015800856,0.000029045208,0.95895517,0.038813353,0.00016375768],"about_ca_topic_score_codex":0.0000019690654,"about_ca_topic_score_gemma":0.000001987755,"teacher_disagreement_score":0.47437623,"about_ca_system_score_codex":0.000066434295,"about_ca_system_score_gemma":0.000023387776,"threshold_uncertainty_score":0.99993044},"labels":[],"label_agreement":null},{"id":"W2119324768","doi":"10.1016/j.crma.2003.11.036","title":"Hopf-cyclic homology and cohomology with coefficients","year":2004,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":97,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Cyclic homology; Mathematics; Cohomology; Coalgebra; Pairing; Pure mathematics; Hopf algebra; Invariant (physics); Homology (biology); Algebra over a field; Mathematical physics; Physics","score_opus":0.0194216785146499,"score_gpt":0.2705168985346413,"score_spread":0.2510952200199914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119324768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9838478,0.00034104503,0.012917807,0.00039445245,0.00030190198,0.00032844968,0.0000049972687,0.00017008667,0.0016934371],"genre_scores_gemma":[0.99226594,0.000042714422,0.007219236,0.00019968726,0.00007051678,0.00004124635,0.0000064127817,0.00004229086,0.00011196851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987075,0.00007796916,0.0003023746,0.0003604035,0.00018637764,0.00036541326],"domain_scores_gemma":[0.998973,0.0002520851,0.00016393288,0.00041333333,0.00007064823,0.00012696507],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012986055,0.00026560435,0.00045731352,0.000093852024,0.00015034972,0.00004200999,0.00024233118,0.00020901483,0.00013768833],"category_scores_gemma":[0.00008837237,0.00020611071,0.000045123925,0.0001496375,0.00025061064,0.00006580517,0.00013317306,0.00028032475,0.000030402902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042227723,0.00012337652,0.000680861,0.000069759844,0.0000648405,0.00005548675,0.0006972278,0.000070793285,0.00015152952,0.9970134,0.00057739345,0.00045313538],"study_design_scores_gemma":[0.001721272,0.00034975167,0.0016568257,0.00007838735,0.00004675717,0.00059129985,0.0000999447,0.00006003421,0.0009480708,0.9936296,0.0005131349,0.00030496428],"about_ca_topic_score_codex":0.000048274138,"about_ca_topic_score_gemma":0.000023223196,"teacher_disagreement_score":0.008418105,"about_ca_system_score_codex":0.000062851876,"about_ca_system_score_gemma":0.000073644194,"threshold_uncertainty_score":0.8404951},"labels":[],"label_agreement":null},{"id":"W2119783464","doi":"10.1139/cjp-2013-0326","title":"Rational conformal field theory with matrix level and strings on a torus","year":2013,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Conformal field theory; Moduli space; Torus; Conformal map; Primary field; Partition function (quantum field theory); Field (mathematics); Affine transformation; Central charge; Current algebra","score_opus":0.02408024372574925,"score_gpt":0.2453961670055304,"score_spread":0.22131592327978117,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119783464","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993976,0.00003537443,0.0041271066,0.00033466984,0.00023010622,0.00009394697,0.0000061748797,0.0000029288174,0.0011936957],"genre_scores_gemma":[0.99847233,0.0000011972944,0.00076086,0.0002517194,0.0003049134,0.0000013904154,4.3367157e-7,0.000009108645,0.0001980566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999524,0.000014764389,0.00014439604,0.000049522212,0.00012909406,0.00013822834],"domain_scores_gemma":[0.99927086,0.00016258433,0.00012593137,0.00007570278,0.00013847311,0.0002264316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007622363,0.00008229474,0.00013016308,0.00003603587,0.00007845281,0.00006390243,0.00009282773,0.000039997343,0.00014361904],"category_scores_gemma":[0.000056539182,0.000059687696,0.000033615695,0.000039130347,0.000036813584,0.00017037525,0.000005250662,0.00016516181,0.000002722495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001998659,0.0000044243375,0.00018294292,0.000008631244,0.000035650457,0.0000070237,0.00040038815,0.000017131011,0.000013315213,0.9937105,0.0019751026,0.00362489],"study_design_scores_gemma":[0.00046242576,0.0002865448,0.00064900715,0.00004356644,0.000020806543,0.000042214793,0.0002059753,0.000039538827,0.00064179406,0.99720573,0.00031196387,0.000090412424],"about_ca_topic_score_codex":0.00044107216,"about_ca_topic_score_gemma":0.00025141606,"teacher_disagreement_score":0.0044963243,"about_ca_system_score_codex":0.000036512658,"about_ca_system_score_gemma":0.00040034472,"threshold_uncertainty_score":0.24339937},"labels":[],"label_agreement":null},{"id":"W2119811664","doi":"10.22215/etd/2015-10940","title":"Length Two Extensions of Modules for the Witt Algebra","year":2015,"lang":"en","type":"preprint","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; University of Toronto","funders":"","keywords":"Mathematics; Homomorphism; Algebra over a field; Tensor (intrinsic definition); Extension (predicate logic); Cohomology; Pure mathematics; Commutative property; Witt algebra; Cellular algebra; Algebra representation; Computer science; Programming language","score_opus":0.11291499709306207,"score_gpt":0.36208667868566496,"score_spread":0.2491716815926029,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119811664","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6758885,0.003780044,0.27798566,0.0032554811,0.014150438,0.00731596,0.0002785908,0.00057258905,0.016772745],"genre_scores_gemma":[0.9772351,0.000043742613,0.020739244,0.00006984533,0.00052464864,0.00016490379,0.000011989588,0.000058050515,0.0011525257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985692,0.00004546312,0.00045999038,0.00034181157,0.000352026,0.00023149324],"domain_scores_gemma":[0.996943,0.0009780062,0.00032835387,0.0011776151,0.00049574394,0.00007727046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043934237,0.000287979,0.00055490935,0.000045908684,0.00009548155,0.0000360944,0.0006517499,0.0002394412,0.00008392839],"category_scores_gemma":[0.0005658334,0.00016614616,0.00031240485,0.000052311552,0.000101323014,0.000027828904,0.00075118116,0.0003354057,0.0000024650267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027774551,0.000041023162,0.0000036636884,0.00012163047,0.00017822855,2.9959648e-7,0.0003271024,0.0005433142,0.000010400743,0.98055327,0.01715675,0.0010365584],"study_design_scores_gemma":[0.00053248944,0.000040909727,0.00001850746,0.00006885925,0.00023718983,0.00000242376,0.00022768148,0.008871581,0.00024003138,0.9886998,0.00085673865,0.00020381167],"about_ca_topic_score_codex":0.0001673936,"about_ca_topic_score_gemma":0.000034731984,"teacher_disagreement_score":0.30134657,"about_ca_system_score_codex":0.000037782036,"about_ca_system_score_gemma":0.00017741809,"threshold_uncertainty_score":0.6775244},"labels":[],"label_agreement":null},{"id":"W2120098457","doi":"10.1007/jhep06(2015)179","title":"On-shell structures of MHV amplitudes beyond the planar limit","year":2015,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":87,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Danmarks Frie Forskningsfond; Institut Périmètre de physique théorique; Industry Canada; Government of Canada; U.S. Department of Energy","keywords":"Physics; Grassmannian; Planar; Decoupling (probability); Gravitational singularity; Amplitude; Mathematical physics; Limit (mathematics); Shell (structure); Combinatorics; Pure mathematics; Mathematical analysis; Quantum mechanics; Mathematics","score_opus":0.03708818499120166,"score_gpt":0.2685857127461968,"score_spread":0.23149752775499516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2120098457","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9648067,0.0005610197,0.028716426,0.000550122,0.0029375989,0.00008287471,0.000014262726,0.000021055488,0.002309967],"genre_scores_gemma":[0.99734414,0.000024062268,0.0012757768,0.00025770444,0.0009951593,0.000001021228,0.000001335331,0.000025305444,0.00007550921],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985606,0.000076120894,0.0004557315,0.000100184334,0.0006399074,0.0001674295],"domain_scores_gemma":[0.99812555,0.0004488501,0.00067889265,0.0003292101,0.00031217272,0.00010532305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001858033,0.00017648595,0.00041107528,0.00004161063,0.00007122721,0.00004169867,0.00045838792,0.00008037936,0.000013148327],"category_scores_gemma":[0.00010829407,0.00010090619,0.00018488435,0.000121778154,0.000104380706,0.00010056109,0.000045202294,0.00023161016,7.488381e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012196079,0.00007786702,0.000012211019,0.000011347839,0.00016392516,0.000006284274,0.00040091897,0.000976556,0.00005892115,0.98946625,0.007864212,0.0008395636],"study_design_scores_gemma":[0.0006573526,0.00037079927,0.000069683105,0.000024806102,0.00008369808,0.000020405474,0.0001068312,0.000013160275,0.0052151354,0.9921377,0.0011924407,0.00010799376],"about_ca_topic_score_codex":0.00004990751,"about_ca_topic_score_gemma":0.0000048980964,"teacher_disagreement_score":0.032537453,"about_ca_system_score_codex":0.000045138888,"about_ca_system_score_gemma":0.00014171723,"threshold_uncertainty_score":0.4114835},"labels":[],"label_agreement":null},{"id":"W2121168471","doi":"10.1142/s0219498811004653","title":"FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Consejo Nacional de Investigaciones Científicas y Técnicas; Fundação de Amparo à Pesquisa do Estado de São Paulo; Université de Sherbrooke","keywords":"Computer science; Programming language","score_opus":0.051739541278110056,"score_gpt":0.2859045865862893,"score_spread":0.23416504530817925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121168471","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9928631,0.00024150638,0.00582338,0.00018623492,0.00020449769,0.00026138505,0.00000954357,0.000024964498,0.00038536635],"genre_scores_gemma":[0.9958058,0.00004901008,0.003781746,0.000042640826,0.00021042903,0.00003713512,0.0000019512302,0.000013541933,0.000057761496],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913317,0.0000331062,0.00043195457,0.00012633765,0.00014973004,0.00012569643],"domain_scores_gemma":[0.999215,0.00013421413,0.00020691841,0.00015262382,0.00015765449,0.00013357884],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011050422,0.00010565835,0.00024972216,0.00015073981,0.00008999515,0.00002217302,0.00017449982,0.00006806932,0.00007716228],"category_scores_gemma":[0.00007392319,0.00008940004,0.00005376978,0.00026870143,0.000018930177,0.0001279036,0.000038857506,0.00016499854,0.0000062545805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010931072,0.0006057831,0.0010984803,0.000019699408,0.000113974915,0.000004057538,0.0066256654,0.000004061748,0.0019480982,0.9860668,0.001104673,0.0022993602],"study_design_scores_gemma":[0.00050495606,0.00010186045,0.011254853,0.000022684331,0.000046092202,0.000014049411,0.00034664958,0.00009145506,0.0012276691,0.9852398,0.0010375727,0.000112340385],"about_ca_topic_score_codex":0.00012351866,"about_ca_topic_score_gemma":0.000030267125,"teacher_disagreement_score":0.010156372,"about_ca_system_score_codex":0.000033217882,"about_ca_system_score_gemma":0.00003505027,"threshold_uncertainty_score":0.36456278},"labels":[],"label_agreement":null},{"id":"W2121458040","doi":"10.1007/s00220-007-0234-2","title":"Pseudodifferential Symbols on Riemann Surfaces and Krichever–Novikov Algebras","year":2007,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Meromorphic function; Novikov self-consistency principle; Riemann surface; Mathematics; Pure mathematics; Holomorphic function; Invariant (physics); Lie algebra; Diffeomorphism; Type (biology); Algebra over a field; Mathematical physics","score_opus":0.07521477870125609,"score_gpt":0.36271521914738736,"score_spread":0.28750044044613127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121458040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95855635,0.00015114323,0.020900816,0.00038843488,0.0001459453,0.0005456236,0.000005188752,0.00013204383,0.019174462],"genre_scores_gemma":[0.97998345,0.000057754165,0.019602863,0.000084092615,0.00008272814,0.00002475288,0.0000070309393,0.000039310566,0.00011802562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983684,0.00011729528,0.0005689945,0.00026717247,0.00033149865,0.000346658],"domain_scores_gemma":[0.9954307,0.0025167307,0.00015733317,0.0017102172,0.000073857074,0.000111167836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006155567,0.00025617768,0.00042910565,0.0000733143,0.00023563026,0.000067260844,0.00082159654,0.0001503118,0.000039776485],"category_scores_gemma":[0.00034795052,0.00022533913,0.00008707829,0.00030782085,0.00031899792,0.000119947144,0.00036507501,0.00048263057,0.00003745997],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016638493,0.0004494526,0.00016125271,0.000074517535,0.000027668917,0.0000011617476,0.00103793,0.0000036025367,0.00006404202,0.9963648,0.00011887904,0.0016800754],"study_design_scores_gemma":[0.00047586657,0.000047304882,0.00084616913,0.00012379563,0.000036531146,0.0000036937638,0.00025257035,0.0015326715,0.0004339629,0.9959034,0.00010389189,0.00024017981],"about_ca_topic_score_codex":0.000008355596,"about_ca_topic_score_gemma":0.000018053823,"teacher_disagreement_score":0.0214271,"about_ca_system_score_codex":0.00007165476,"about_ca_system_score_gemma":0.00003260592,"threshold_uncertainty_score":0.91890633},"labels":[],"label_agreement":null},{"id":"W2121715226","doi":"10.1063/1.1738189","title":"Cyclic statistics in three dimensions","year":2004,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Group (periodic table); Automorphism; Mathematics; Permutation (music); Statistics; Topological quantum computer; Pure mathematics; Combinatorics; Physics; Quantum; Quantum mechanics","score_opus":0.03495454702144447,"score_gpt":0.30615221214285826,"score_spread":0.2711976651214138,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121715226","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69016504,0.00003908398,0.30858392,0.00019372265,0.0002913313,0.00012439542,0.0000035843436,0.000013430052,0.00058547105],"genre_scores_gemma":[0.9175798,0.000008476947,0.082056336,0.000052553794,0.00026138246,0.0000019112692,3.0141445e-7,0.000026317763,0.000012915463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984309,0.000028574621,0.0007201914,0.00009643496,0.0004977393,0.00022612516],"domain_scores_gemma":[0.9986015,0.00053906476,0.00037005157,0.00022870919,0.00014154629,0.00011910273],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028922685,0.00015849563,0.00048591616,0.000054847213,0.000042350355,0.000026402797,0.0002332879,0.000078716934,0.000043997767],"category_scores_gemma":[0.00055404234,0.00011727535,0.00013628577,0.00017359962,0.000065789485,0.00013258742,0.000056375164,0.00038354998,0.000019231813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017706132,0.00035847706,0.000031845506,0.000063675885,0.000033289438,0.000039289454,0.00035615743,0.0002508449,0.00013456144,0.99824494,0.00013196512,0.0003372422],"study_design_scores_gemma":[0.0010988506,0.00012593993,0.00012378527,0.00019096964,0.00005532611,0.000052425818,0.000056868066,0.00014060235,0.0004430898,0.99757576,0.000012271995,0.00012412715],"about_ca_topic_score_codex":0.0000024378128,"about_ca_topic_score_gemma":0.000003837466,"teacher_disagreement_score":0.22741474,"about_ca_system_score_codex":0.000104788,"about_ca_system_score_gemma":0.00010655807,"threshold_uncertainty_score":0.478235},"labels":[],"label_agreement":null},{"id":"W2122214841","doi":"10.1007/s00220-015-2330-z","title":"Twisted Heisenberg Doubles","year":2015,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Fock space; Hopf algebra; Algebra over a field; Quantum; Heisenberg picture; Tensor product; Heisenberg group; Lattice (music); Quantum group; Operator algebra","score_opus":0.281395426329024,"score_gpt":0.4089601074148152,"score_spread":0.12756468108579122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2122214841","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46027496,0.0013395321,0.11868287,0.005640171,0.000992714,0.002467889,0.000018627494,0.0011176454,0.40946558],"genre_scores_gemma":[0.94189006,0.000016563969,0.057585254,0.000069800764,0.00008183421,0.0000799793,0.000008639726,0.00003416685,0.00023367633],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870527,0.00014291384,0.0004529712,0.0001721045,0.00029306192,0.00023367429],"domain_scores_gemma":[0.9966456,0.0007854733,0.00011837334,0.0021829621,0.00014080762,0.00012674663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003959682,0.0001724088,0.0003359877,0.000043061842,0.00008349828,0.000048237693,0.0010997216,0.00009687477,0.000026477483],"category_scores_gemma":[0.00062661606,0.000153817,0.00008346036,0.00036993946,0.00021316195,0.00013979715,0.0005177412,0.00030836862,0.000091115864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067803953,0.00032562588,0.00005705925,0.000032369036,0.000014734797,6.7167224e-7,0.0010750038,0.000015362457,0.000007738605,0.9967609,0.00091994146,0.00078383554],"study_design_scores_gemma":[0.0005891713,0.00001978684,0.000018037701,0.00006501179,0.00002115833,0.0000036621036,0.00036258032,0.004189285,0.00007640614,0.99358565,0.00089563703,0.00017362999],"about_ca_topic_score_codex":0.000008987123,"about_ca_topic_score_gemma":0.000007946275,"teacher_disagreement_score":0.48161513,"about_ca_system_score_codex":0.00011085485,"about_ca_system_score_gemma":0.00007948757,"threshold_uncertainty_score":0.6272475},"labels":[],"label_agreement":null},{"id":"W2122308836","doi":"10.1017/s1446788700013069","title":"Verma modules over Virasoro-like algebras","year":2006,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Verma module; Irreducibility; Virasoro algebra; Pure mathematics; Order (exchange); Field (mathematics); Algebra over a field; Algebra representation; Lie algebra; Cellular algebra","score_opus":0.024709040828348735,"score_gpt":0.282624823788865,"score_spread":0.25791578296051626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2122308836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99460876,0.000046843874,0.0019042159,0.0015772413,0.0008936363,0.0001936613,0.0000046291216,0.000031983825,0.00073905685],"genre_scores_gemma":[0.9825417,0.0000060323414,0.012992898,0.00022832525,0.00082685275,0.0000029638027,3.7763886e-7,0.00004043271,0.003360411],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99765813,0.00008922472,0.0008771273,0.00015377472,0.00084836833,0.00037334245],"domain_scores_gemma":[0.99827594,0.0003332893,0.0006707451,0.00046245224,0.00013552513,0.00012204035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005547591,0.0002596046,0.0005085524,0.000021564654,0.00018580108,0.000098176075,0.0007354771,0.0002195775,0.0005259907],"category_scores_gemma":[0.00016244293,0.00015130274,0.0011003922,0.00019655692,0.00018572365,0.00019541074,0.00013895314,0.00053986686,0.000016035528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018837523,0.00024650988,0.00038617983,0.00014617323,0.00019255205,0.0000062599133,0.0003739247,0.00005687661,0.0008088076,0.8450715,0.15261392,0.000078464305],"study_design_scores_gemma":[0.00069931877,0.000045817957,0.0026681442,0.00012729876,0.00018173287,0.00010956416,0.00014830541,0.0001524808,0.0013083881,0.9923684,0.0020042325,0.00018632006],"about_ca_topic_score_codex":0.00000941295,"about_ca_topic_score_gemma":0.0000011370364,"teacher_disagreement_score":0.15060969,"about_ca_system_score_codex":0.00013694642,"about_ca_system_score_gemma":0.000051973147,"threshold_uncertainty_score":0.6169947},"labels":[],"label_agreement":null},{"id":"W2122329174","doi":"10.18910/29185","title":"Weighted projective spaces and iterated Thom spaces","year":2014,"lang":"en","type":"article","venue":"Institutional Repositories DataBase (IRDB)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Fribourg","keywords":"Mathematics; Cohomology; Cobordism; Pure mathematics; Complex projective space; Iterated function; Cohomology ring; Projective space; Topology (electrical circuits); Discrete mathematics; Combinatorics; Projective test; Equivariant cohomology; Mathematical analysis","score_opus":0.020905045748698465,"score_gpt":0.27865208505145705,"score_spread":0.2577470393027586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2122329174","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98220897,0.00029556692,0.006678768,0.00028923264,0.003059891,0.00040503382,0.000115570045,0.00022288552,0.006724076],"genre_scores_gemma":[0.99106216,0.00002250681,0.007074143,0.00006584601,0.0011975577,0.000048164555,0.000117466145,0.000023093504,0.00038903585],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982364,0.00011779346,0.00034552245,0.00049257244,0.0005213842,0.00028633143],"domain_scores_gemma":[0.9985321,0.0004005282,0.00018945885,0.0004504739,0.00028346395,0.00014394156],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002563635,0.00029159815,0.00032639384,0.00009517526,0.0006160227,0.00033178928,0.00020172769,0.00013084245,0.000024271363],"category_scores_gemma":[0.0007377325,0.0002347598,0.000060010934,0.00026008158,0.0003478836,0.00065317925,0.00020647589,0.00023379867,0.000007317478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010747615,0.00006254572,0.0013720447,0.00008358132,0.00008334021,0.000025001078,0.00045092363,0.000003360817,0.00086039474,0.99552876,0.0011545011,0.00026808926],"study_design_scores_gemma":[0.0017018066,0.00028268603,0.0020229132,0.00044131384,0.00017482956,0.00035533035,0.00035977206,0.0011833187,0.016003655,0.8977348,0.07888509,0.00085444644],"about_ca_topic_score_codex":0.00029114584,"about_ca_topic_score_gemma":0.000048903676,"teacher_disagreement_score":0.0977939,"about_ca_system_score_codex":0.000094760886,"about_ca_system_score_gemma":0.00020561961,"threshold_uncertainty_score":0.95732266},"labels":[],"label_agreement":null},{"id":"W2123074615","doi":"10.3842/sigma.2015.040","title":"From Twisted Quantum Loop Algebras to Twisted Yangians","year":2015,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Red Deer Polytechnic","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Yangian; Loop algebra; Loop (graph theory); Symplectic geometry; Hopf algebra; Mathematics; Pure mathematics; Lie algebra; Quantum; Quantum group; Algebra over a field; Physics; Combinatorics; Current algebra; Quantum mechanics","score_opus":0.06981551828496554,"score_gpt":0.3955110499674246,"score_spread":0.325695531682459,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2123074615","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6146195,0.0006006776,0.38160127,0.00097215443,0.0002947523,0.0008128219,0.000096466836,0.0001527994,0.0008495729],"genre_scores_gemma":[0.7488736,0.00002343861,0.24968731,0.00037716303,0.00036688367,0.00029226643,0.00003043846,0.000040958872,0.00030796186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997681,0.00036887708,0.0005571545,0.0007626201,0.00027286736,0.0003574366],"domain_scores_gemma":[0.99644804,0.001683845,0.00014398432,0.0008432284,0.00027315388,0.0006077769],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015368346,0.0003308914,0.0005860222,0.00021709717,0.00020279609,0.0001224422,0.00030823788,0.00026335547,0.00008579155],"category_scores_gemma":[0.0019768646,0.00027674704,0.0001123457,0.0011190071,0.00022519098,0.00010946119,0.00023287757,0.00037510484,0.000016808524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044623615,0.0001385404,0.0011822704,0.000058499256,0.000084069485,5.4166793e-7,0.00069412345,6.5588057e-7,0.0003701728,0.9214608,0.00056332635,0.0754024],"study_design_scores_gemma":[0.00045039214,0.000118472184,0.0012309129,0.000024093359,0.00010566502,0.000007812603,0.0018771015,0.00025978012,0.00096751214,0.98154575,0.013077529,0.00033501163],"about_ca_topic_score_codex":0.00070910173,"about_ca_topic_score_gemma":0.00002535108,"teacher_disagreement_score":0.13425408,"about_ca_system_score_codex":0.00007827946,"about_ca_system_score_gemma":0.00006791566,"threshold_uncertainty_score":0.99996847},"labels":[],"label_agreement":null},{"id":"W2123518215","doi":"10.1016/j.jalgebra.2016.02.011","title":"Free algebras and free groups in Ore extensions and free group algebras in division rings","year":2016,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Center (category theory); Mathematics; Automorphism; Division ring; Subalgebra; Free group; Abelian group; Subring; Uncountable set; Combinatorics; Group (periodic table); Free probability; Free algebra; Order (exchange); Polynomial ring; Ring (chemistry); Rank (graph theory); Group ring; Discrete mathematics; Finitely-generated abelian group; Polynomial; Pure mathematics; Division (mathematics); Algebra over a field; Cellular algebra; Algebra representation; Physics; Arithmetic; Crystallography","score_opus":0.021754375572922334,"score_gpt":0.2716083072277092,"score_spread":0.24985393165478684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2123518215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98959607,0.0041445154,0.0010115029,0.00221158,0.0019868978,0.0006477915,0.00006589269,0.00004735381,0.00028839151],"genre_scores_gemma":[0.99260265,0.0012591323,0.004932578,0.00020442133,0.00077906024,0.000023250195,0.0000046735204,0.00014320176,0.00005104423],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9946946,0.00033068217,0.002176562,0.0008809635,0.0011522076,0.00076502026],"domain_scores_gemma":[0.9944196,0.0012557446,0.0016562312,0.0019166562,0.00029175458,0.000460012],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0016770514,0.00087470346,0.0019101126,0.0010261781,0.0001479614,0.00023963748,0.00199043,0.0010483398,0.000105743886],"category_scores_gemma":[0.003320521,0.0006631947,0.000367544,0.00031578532,0.0002950876,0.0005453946,0.0050946972,0.0024251053,0.0000017964719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040720447,0.00044622994,0.019577332,0.00073171343,0.0003326377,0.0006925214,0.0026936235,0.000009175596,0.0005001897,0.961405,0.008382575,0.004821839],"study_design_scores_gemma":[0.005535547,0.00031876893,0.067399785,0.0028706477,0.00014020108,0.0002420059,0.00023649367,0.000064005384,0.00009977061,0.92233175,0.00009345898,0.00066753477],"about_ca_topic_score_codex":0.00015389969,"about_ca_topic_score_gemma":0.00041068398,"teacher_disagreement_score":0.047822453,"about_ca_system_score_codex":0.00027993016,"about_ca_system_score_gemma":0.00021570033,"threshold_uncertainty_score":0.9998763},"labels":[],"label_agreement":null},{"id":"W2123875540","doi":"10.1016/s0550-3213(02)00559-x","title":"Boundary states for WZW models","year":2002,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Boundary (topology); Class (philosophy); State (computer science); Symmetry (geometry); Modular design; Boundary value problem","score_opus":0.07487314698282266,"score_gpt":0.2733715551323076,"score_spread":0.19849840814948494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2123875540","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90430015,0.00035979523,0.04630497,0.0011009679,0.0021340477,0.0013600482,0.000092364884,0.0008289325,0.043518748],"genre_scores_gemma":[0.99327785,0.000020078955,0.0051199654,0.00026796368,0.00048938463,0.000014619036,0.0000041591707,0.00007756459,0.0007284382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924845,0.000013064708,0.0001481805,0.00018726388,0.00017018372,0.00023286615],"domain_scores_gemma":[0.99941754,0.000108747154,0.0000660733,0.00028688603,0.00006354334,0.000057220386],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000046610086,0.00013482012,0.00018625261,0.000013076177,0.00016860622,0.00006730357,0.00017564428,0.00006218815,0.0001737124],"category_scores_gemma":[0.000017652872,0.00012491913,0.00012153415,0.00006363067,0.000044004086,0.00016680312,0.00004719506,0.000098384946,0.000044719407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001040596,0.000066853936,7.479597e-7,0.000032886594,0.000029702409,4.4046428e-7,0.001018508,0.0001180249,0.0000459738,0.970599,0.02400074,0.004076727],"study_design_scores_gemma":[0.00037957975,0.000058191494,0.0000013303396,0.000009100838,0.000022016937,8.708116e-7,0.000062300634,0.07813555,0.0000722831,0.9115482,0.009565802,0.00014476341],"about_ca_topic_score_codex":0.0000052971654,"about_ca_topic_score_gemma":3.2496862e-7,"teacher_disagreement_score":0.0889777,"about_ca_system_score_codex":0.00002923109,"about_ca_system_score_gemma":0.000006885452,"threshold_uncertainty_score":0.50940543},"labels":[],"label_agreement":null},{"id":"W2123990443","doi":"10.1112/s0010437x13007136","title":"Buildings, spiders, and geometric Satake","year":2013,"lang":"en","type":"preprint","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Tensor product; Affine transformation; Invariant (physics); Mathematics; Pure mathematics; Grassmannian; Product (mathematics); Algebra over a field; Geometry","score_opus":0.04265030509537739,"score_gpt":0.2943672696639447,"score_spread":0.25171696456856735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2123990443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9540897,0.0019171966,0.029235564,0.0008017668,0.0015934433,0.002032726,0.00004494607,0.0005477021,0.009736971],"genre_scores_gemma":[0.9086717,0.0001242348,0.08981848,0.00015399483,0.00045203397,0.00020091528,0.000029737132,0.0001339292,0.00041496998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99738497,0.00008272226,0.0007889946,0.00071676436,0.00054255157,0.0004840276],"domain_scores_gemma":[0.99708825,0.0008365429,0.0005196331,0.0011394293,0.0001675454,0.00024862538],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00032330936,0.0006196141,0.0010857187,0.00034567155,0.00019188834,0.00040802988,0.0006607897,0.00050884153,0.000491451],"category_scores_gemma":[0.0003526922,0.00054767873,0.00023802488,0.00022624634,0.00015713449,0.00010738778,0.0014307235,0.00077184616,0.00007443036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007669879,0.000119244476,0.00002092845,0.0019014725,0.00020861127,0.000009456308,0.00048280094,0.000005870145,0.000071477705,0.98486215,0.011003378,0.0013069239],"study_design_scores_gemma":[0.0003622829,0.00005004762,0.00008354675,0.00059837603,0.00024071617,0.000064209395,0.0000613234,0.0007139563,0.0003076661,0.9964829,0.00045150064,0.0005834946],"about_ca_topic_score_codex":0.00003237481,"about_ca_topic_score_gemma":6.970712e-7,"teacher_disagreement_score":0.060582917,"about_ca_system_score_codex":0.00010328832,"about_ca_system_score_gemma":0.000068413254,"threshold_uncertainty_score":0.99969745},"labels":[],"label_agreement":null},{"id":"W2124765286","doi":"10.1007/s00031-008-9029-6","title":"Quantization of Lie Bialgebras, Part VI: Quantization of Generalized Kac–Moody Algebras","year":2008,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Pure mathematics; Functor; Hopf algebra; Lie algebra; Graded Lie algebra; Universal enveloping algebra; Algebra over a field","score_opus":0.05556177723837359,"score_gpt":0.28171135193993796,"score_spread":0.22614957470156438,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124765286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86301744,0.00011059582,0.13477728,0.000099513934,0.000528219,0.0005228696,0.000022386084,0.000105944804,0.0008157535],"genre_scores_gemma":[0.9970622,0.00029954268,0.002219338,0.000044736455,0.00012585589,0.000022927996,0.00014767068,0.000039230385,0.000038476006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99757093,0.00013526941,0.001217784,0.00021118215,0.0006188924,0.00024595068],"domain_scores_gemma":[0.99856967,0.00013247521,0.0005556343,0.00035444507,0.0003113207,0.000076464006],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030908608,0.00024749877,0.0005312239,0.0002175346,0.0001548694,0.000014388612,0.00022888747,0.0002115988,0.00022076842],"category_scores_gemma":[0.00010227074,0.00023191157,0.00019849537,0.0005429197,0.00012049199,0.0005427448,0.000016688335,0.000120846395,0.000009169775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011210314,0.00015137266,0.0005118935,0.0002948924,0.00006756624,5.928051e-7,0.0042743217,0.00018649404,0.0026923898,0.9908137,0.00036233844,0.000532384],"study_design_scores_gemma":[0.003467987,0.0002919708,0.0021386617,0.00014604282,0.00016791806,0.000022273596,0.0003422749,0.004423729,0.08121023,0.90682197,0.00049420877,0.00047275485],"about_ca_topic_score_codex":0.00005463788,"about_ca_topic_score_gemma":0.000015524309,"teacher_disagreement_score":0.13404478,"about_ca_system_score_codex":0.000036645826,"about_ca_system_score_gemma":0.000082045415,"threshold_uncertainty_score":0.9457079},"labels":[],"label_agreement":null},{"id":"W2125181896","doi":"","title":"The left part and the Auslander-Reiten components of an artin algebra","year":2005,"lang":"es","type":"article","venue":"Hispana","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Subcategory; Indecomposable module; Mathematics; Pure mathematics; Dimension (graph theory); Class (philosophy); Projective test; Algebra over a field; Computer science; Artificial intelligence","score_opus":0.02014557896671119,"score_gpt":0.2608678259858667,"score_spread":0.24072224701915554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2125181896","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9911261,0.0021365753,0.000047134617,0.0040894933,0.00062936003,0.00044267756,0.000011557214,0.00003137755,0.0014856883],"genre_scores_gemma":[0.99788475,0.0003537856,0.00013648685,0.00021557455,0.00053763227,0.000009258407,0.0000061793694,0.00003288035,0.00082342984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981666,0.00027090881,0.0005439852,0.00025685458,0.0004112748,0.00035037677],"domain_scores_gemma":[0.9979775,0.00073737546,0.00034590426,0.0007483781,0.00007966368,0.00011118912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006208125,0.00025097936,0.00043031728,0.000029947087,0.00045749036,0.00015075464,0.0004516141,0.00013610169,0.00013548008],"category_scores_gemma":[0.0001537387,0.0001331351,0.0001289288,0.00007270261,0.0005253529,0.00011043626,0.00017708083,0.0002487947,0.000018468016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021234737,0.000083173494,0.0003013838,0.00005582258,0.00015530162,0.000001370475,0.0020039168,0.000013786855,0.0000623906,0.9883007,0.002636767,0.006173055],"study_design_scores_gemma":[0.00407532,0.00015910453,0.004888849,0.00015560695,0.00036547903,0.00003102493,0.00057913363,0.007938062,0.0005348985,0.8831429,0.0977561,0.00037353017],"about_ca_topic_score_codex":0.000111015426,"about_ca_topic_score_gemma":0.00012720788,"teacher_disagreement_score":0.10515779,"about_ca_system_score_codex":0.000025661557,"about_ca_system_score_gemma":0.000034451776,"threshold_uncertainty_score":0.5429092},"labels":[],"label_agreement":null},{"id":"W2125748030","doi":"10.1142/s1793042112500595","title":"FOURIER SERIES OF A CLASS OF ETA QUOTIENTS","year":2012,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Quotient; Dedekind eta function; Fourier series; Class (philosophy); Dedekind cut; Pure mathematics; Dedekind sum; Combinatorics; Function (biology); Series (stratigraphy); Modular form; Eisenstein series; Mathematical analysis","score_opus":0.027587322065793826,"score_gpt":0.3204467590113193,"score_spread":0.29285943694552546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2125748030","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9886928,0.00011850743,0.0010490529,0.00011485879,0.003167866,0.000043290205,0.000029777442,0.0000043830314,0.00677943],"genre_scores_gemma":[0.9965108,0.000011876735,0.0024441076,0.000037877548,0.0005202322,8.3556984e-7,0.0000012739023,0.000013261743,0.00045972923],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998622,0.00009053375,0.0005422876,0.000045138662,0.0005900943,0.0001099377],"domain_scores_gemma":[0.99811316,0.0003675461,0.0007751963,0.00012046534,0.0005640738,0.00005955654],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047336958,0.00008796128,0.00024057733,0.00007049802,0.000012539867,0.000007952762,0.00037679877,0.000059744056,0.0015860213],"category_scores_gemma":[0.00047222432,0.00006783404,0.00018278493,0.000046134777,0.00008446219,0.0002959216,0.00007571501,0.000128738,0.0000042957677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034587286,0.00017311175,0.004200668,0.000017738179,0.00039844506,0.0000034324885,0.0012453125,0.0000030573804,0.00018171969,0.9908352,0.0015991073,0.0009963287],"study_design_scores_gemma":[0.00053347426,0.000051020346,0.0011290195,0.00010677535,0.00005002067,0.00017225876,0.00035355517,0.000003210239,0.0033379826,0.9913888,0.00280992,0.000063944266],"about_ca_topic_score_codex":0.000002634062,"about_ca_topic_score_gemma":3.9248573e-7,"teacher_disagreement_score":0.0078179715,"about_ca_system_score_codex":0.00003644092,"about_ca_system_score_gemma":0.00004707262,"threshold_uncertainty_score":0.99932665},"labels":[],"label_agreement":null},{"id":"W2130129390","doi":"10.1112/plms/pdt021","title":"Representations of thread quivers","year":2013,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Norges Teknisk-Naturvitenskapelige Universitet; University of Regina","keywords":"Quiver; Mathematics; Pure mathematics; Thread (computing); Generalization; Duality (order theory); Algebra over a field; Computer science; Mathematical analysis","score_opus":0.0231720120002711,"score_gpt":0.27710141308481234,"score_spread":0.25392940108454126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130129390","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99050707,0.00002279979,0.00034718803,0.0007255051,0.00009293839,0.0005533011,0.0000023202574,0.00004132387,0.007707532],"genre_scores_gemma":[0.9813815,0.000008957567,0.017836776,0.000045426015,0.000046201265,0.00004051508,1.881076e-7,0.000020089616,0.00062036375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872756,0.000004445067,0.00045509732,0.00016540715,0.00045068722,0.00019679485],"domain_scores_gemma":[0.998725,0.0002905082,0.00038319294,0.00020227414,0.0003417708,0.000057247627],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020834325,0.00013916733,0.0003393446,0.000013707329,0.00008829902,0.000025473235,0.00048518958,0.000108836764,0.00031619892],"category_scores_gemma":[0.00050225225,0.000086586755,0.00042540618,0.00023449885,0.00025517438,0.0001657389,0.00022822116,0.00015478801,0.00000865311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000034428492,0.00009163551,0.00083075784,0.0004382691,0.000075582226,9.069093e-9,0.0017346038,6.555851e-7,0.004722564,0.98422015,0.007815648,0.00006669272],"study_design_scores_gemma":[0.00027825657,0.000023506193,0.00051622157,0.00009207637,0.00006957866,0.0000023360265,0.0013659849,0.00026711106,0.022995163,0.97428507,0.000017497649,0.00008719703],"about_ca_topic_score_codex":0.000020699908,"about_ca_topic_score_gemma":1.203936e-7,"teacher_disagreement_score":0.0182726,"about_ca_system_score_codex":0.000027747763,"about_ca_system_score_gemma":0.000018480174,"threshold_uncertainty_score":0.35309055},"labels":[],"label_agreement":null},{"id":"W2130673349","doi":"10.2140/ant.2013.7.431","title":"Maximal ideals and representations of twisted forms of algebras","year":2013,"lang":"en","type":"preprint","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Université Laval","funders":"","keywords":"Bijection; Mathematics; Simple (philosophy); Base (topology); Pure mathematics; Extension (predicate logic); Algebra over a field; Lie algebra; Ideal (ethics); Maximal ideal; Combinatorics; Computer science; Mathematical analysis","score_opus":0.025866898562821747,"score_gpt":0.3079642851433528,"score_spread":0.282097386580531,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130673349","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9839739,0.0003601837,0.0012412034,0.000072488234,0.0005943706,0.0009286299,0.00022786563,0.000091420894,0.012509894],"genre_scores_gemma":[0.9948893,0.000073784024,0.003695753,0.000058126778,0.0001394056,0.00015546479,0.0001003904,0.00009552768,0.00079223164],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970359,0.00027848207,0.0011910733,0.00060949667,0.00051519834,0.00036982514],"domain_scores_gemma":[0.99542105,0.0015932535,0.0011684955,0.0013247707,0.00034379598,0.00014864819],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005740602,0.00048412854,0.0011235569,0.00013209603,0.00007625571,0.00004919088,0.0006087182,0.00055000675,0.0036878781],"category_scores_gemma":[0.0007211909,0.00041751252,0.00036011336,0.00016636061,0.0004573231,0.00015151476,0.0011462658,0.00054827135,0.000021094958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007542382,0.00010108955,0.00063212466,0.0007176672,0.00045722906,0.0000027800766,0.0014007066,0.000004206341,0.00009561248,0.9931152,0.0019009203,0.0014970351],"study_design_scores_gemma":[0.00045793733,0.000044258188,0.0015060066,0.00031002736,0.0002760336,0.000021070255,0.0004669675,0.000040867042,0.001998341,0.99443746,0.000062838735,0.00037820064],"about_ca_topic_score_codex":0.00016647881,"about_ca_topic_score_gemma":0.000008153428,"teacher_disagreement_score":0.011717661,"about_ca_system_score_codex":0.00003877393,"about_ca_system_score_gemma":0.00014519891,"threshold_uncertainty_score":0.9998277},"labels":[],"label_agreement":null},{"id":"W2131024576","doi":"10.1142/s0217751x09044644","title":"FRAMES FOR SUPERSYMMETRY","year":2009,"lang":"en","type":"article","venue":"International Journal of Modern Physics A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Multiplet; Supermultiplet; Superspace; Supersymmetry; Component (thermodynamics); D-term; Superfield","score_opus":0.03519554628488912,"score_gpt":0.33884488298005955,"score_spread":0.3036493366951704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131024576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50756097,0.00017318327,0.4872802,0.0018187895,0.002186135,0.000113475246,0.000011306645,0.000016887147,0.0008390652],"genre_scores_gemma":[0.98897535,0.000010578922,0.008898308,0.00035155617,0.0016931647,0.000001166196,0.0000013692578,0.000011438536,0.000057061246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990834,0.000011164457,0.00029211034,0.00007888125,0.00042959882,0.00010485726],"domain_scores_gemma":[0.9989034,0.00016360097,0.00025154033,0.00009234916,0.0005418878,0.000047207577],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011768045,0.00009345153,0.0001827579,0.000049423423,0.00002684005,0.000050705206,0.00039459046,0.000047313726,0.000010242828],"category_scores_gemma":[0.00013640823,0.000077480756,0.00022450899,0.000033402743,0.000013895472,0.00017232828,0.00001856859,0.00012772322,7.7189736e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114594586,0.00013135545,0.00003864987,0.0000035680812,0.00015737774,0.0000053651975,0.00037163438,0.00011269964,0.00076776993,0.95670444,0.0021384093,0.039454136],"study_design_scores_gemma":[0.0007952515,0.00013867323,0.00008794539,0.000031823438,0.000026998221,0.000022054792,0.000023457118,0.0016086007,0.0020024942,0.9946693,0.00051289384,0.00008048158],"about_ca_topic_score_codex":7.714359e-7,"about_ca_topic_score_gemma":1.3448765e-7,"teacher_disagreement_score":0.48141438,"about_ca_system_score_codex":0.000053315227,"about_ca_system_score_gemma":0.00005267884,"threshold_uncertainty_score":0.31595734},"labels":[],"label_agreement":null},{"id":"W2131179276","doi":"10.37236/323","title":"Enumeration of Alternating Sign Matrices of Even Size (Quasi-)Invariant under a Quarter-Turn Rotation","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Agence Nationale de la Recherche","keywords":"Enumeration; Mathematics; Invariant (physics); Sign (mathematics); Quarter (Canadian coin); Combinatorics; Mathematical analysis; Mathematical physics; Geography","score_opus":0.010672850432898768,"score_gpt":0.2671178473046206,"score_spread":0.25644499687172184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131179276","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9729798,0.00043748206,0.02477785,0.0003977848,0.0010425431,0.00020345917,0.00000116997,0.000010628537,0.00014932749],"genre_scores_gemma":[0.9993709,0.000091485155,0.00023485297,0.000016572632,0.00022425194,0.0000030469148,4.8433463e-7,0.000025888978,0.00003253424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977111,0.00019637973,0.00095144176,0.000113672126,0.0006983828,0.00032899674],"domain_scores_gemma":[0.9958208,0.0012929454,0.001946386,0.0003143308,0.00057134865,0.000054142965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015607945,0.00018022474,0.0004504516,0.000103202656,0.00009992529,0.000031747368,0.00054540456,0.00012662545,0.000031370164],"category_scores_gemma":[0.00063384935,0.00012585218,0.0001945458,0.00031302628,0.00005874449,0.00021274317,0.000039323615,0.00079715444,6.437176e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000863302,0.00019263472,0.000093599665,0.000049441198,0.00015548311,0.0000011058355,0.00097215886,0.00009007447,0.011497027,0.9865101,0.00005836718,0.00029367194],"study_design_scores_gemma":[0.0011249393,0.00085439166,0.00026650424,0.000049806622,0.00016022527,0.00006622056,0.00039238064,0.00054190925,0.013173654,0.98323125,0.00002106765,0.000117677235],"about_ca_topic_score_codex":0.000030269499,"about_ca_topic_score_gemma":0.000012983215,"teacher_disagreement_score":0.026391128,"about_ca_system_score_codex":0.00010941051,"about_ca_system_score_gemma":0.0004201664,"threshold_uncertainty_score":0.5132103},"labels":[],"label_agreement":null},{"id":"W2131553579","doi":"10.1007/s00229-008-0238-z","title":"The first Hochschild cohomology group of a schurian cluster-tilted algebra","year":2008,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke","keywords":"Bimodule; Cohomology; Mathematics; Group (periodic table); Number theory; Cluster (spacecraft); Type (biology); Algebraic geometry; Pure mathematics; Algebra over a field; Combinatorics; Physics; Computer science","score_opus":0.03611543998066501,"score_gpt":0.25238739145905165,"score_spread":0.21627195147838663,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131553579","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9651143,0.00064812705,0.009504356,0.0035556229,0.0029265839,0.0017336332,0.000014340131,0.00037273305,0.016130278],"genre_scores_gemma":[0.9906071,0.00006293725,0.0068740947,0.00026527102,0.0002729707,0.0001051128,0.0000036961867,0.000077373785,0.0017314889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974647,0.00012487476,0.00091394765,0.00037994602,0.00055671844,0.0005597686],"domain_scores_gemma":[0.99720025,0.00084940926,0.00044954554,0.0012487354,0.00012651389,0.00012553965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005211255,0.00036292532,0.0006817518,0.00009701308,0.0007609702,0.000049711714,0.0009298316,0.00021141746,0.00013725137],"category_scores_gemma":[0.0006827838,0.00024491452,0.0002738627,0.00026575517,0.00055654784,0.00012699682,0.0003236091,0.00031359374,0.000050093615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000074875876,0.00020317742,0.00012377367,0.00020975112,0.00015024225,0.000014312657,0.0014796148,8.8568095e-7,0.000038376733,0.9782642,0.01930367,0.00013708534],"study_design_scores_gemma":[0.0010394558,0.00017799105,0.00052944024,0.00009505924,0.00008822447,0.00025165692,0.00021002279,0.00040509432,0.00028427655,0.9875151,0.0091187805,0.00028492848],"about_ca_topic_score_codex":0.000031925993,"about_ca_topic_score_gemma":0.00004049898,"teacher_disagreement_score":0.02549273,"about_ca_system_score_codex":0.000050981213,"about_ca_system_score_gemma":0.000048823415,"threshold_uncertainty_score":0.99873245},"labels":[],"label_agreement":null},{"id":"W2132020191","doi":"10.3842/sigma.2014.093","title":"Generalized Coefficients for Hopf Cyclic Cohomology","year":2014,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Subcategory; Hopf algebra; Cohomology; Pure mathematics; Algebra over a field; Cyclic homology","score_opus":0.03664836737320167,"score_gpt":0.3878444560931345,"score_spread":0.35119608871993285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132020191","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2997164,0.00023141172,0.69835585,0.00030602893,0.00017088237,0.00073549023,0.000027239816,0.00006110685,0.00039557298],"genre_scores_gemma":[0.68391776,0.000045297442,0.3148088,0.00024171486,0.00020492675,0.0005534447,0.000017819782,0.000023453236,0.00018681162],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99827486,0.00033672564,0.00041732658,0.00055806636,0.00011688394,0.00029615013],"domain_scores_gemma":[0.99594986,0.0030711973,0.00014372024,0.0005217874,0.00014760367,0.0001658296],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019124409,0.00022737525,0.00049335154,0.00014182914,0.00035781067,0.000053779306,0.00019438693,0.00022647802,0.00003407227],"category_scores_gemma":[0.0015844773,0.00018403937,0.000121380675,0.00041148483,0.00032022592,0.0000478174,0.000105137995,0.00020937348,0.0000016271509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020144647,0.00008584519,0.0008013804,0.00011100112,0.000034738623,2.0681618e-8,0.00004985125,6.0427396e-7,0.00024453414,0.87248546,0.00007377815,0.12609264],"study_design_scores_gemma":[0.0006335664,0.00010957167,0.0006195549,0.000008252929,0.000085647924,0.000007964787,0.0001249288,0.00083044125,0.0009876736,0.9722754,0.024109792,0.00020722525],"about_ca_topic_score_codex":0.000041442992,"about_ca_topic_score_gemma":0.00000392736,"teacher_disagreement_score":0.38420132,"about_ca_system_score_codex":0.00002509919,"about_ca_system_score_gemma":0.000018304618,"threshold_uncertainty_score":0.7504908},"labels":[],"label_agreement":null},{"id":"W2132233101","doi":"10.1016/j.aim.2008.03.026","title":"Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; University of Sydney","keywords":"Mathematics; Lie conformal algebra; Subalgebra; Graded Lie algebra; Lie algebra; Vertex (graph theory); Algebra representation; Pure mathematics; Universal enveloping algebra; Torus; Algebra over a field; Discrete mathematics; Geometry","score_opus":0.03594215304905628,"score_gpt":0.30748953860736145,"score_spread":0.27154738555830515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132233101","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95026547,0.0006272806,0.047783554,0.0001069997,0.00030323272,0.0006366327,0.0000123360915,0.000021232483,0.00024327786],"genre_scores_gemma":[0.99471265,0.0003412956,0.004672313,0.000028846769,0.00005552668,0.000105801795,0.0000024149974,0.00002172861,0.00005942271],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893975,0.00002619176,0.00044029346,0.0001752668,0.00021263257,0.00020587935],"domain_scores_gemma":[0.99622416,0.0032254136,0.00016248996,0.00032088117,0.00003784394,0.000029177492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010966159,0.00016328586,0.0003460259,0.00007163322,0.000091798094,0.000010922871,0.00021645073,0.00009162427,0.00003959212],"category_scores_gemma":[0.0007824375,0.00011488999,0.000068834684,0.00013332364,0.000105432846,0.00010707734,0.00005752136,0.00013691683,7.444401e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032636806,0.0001770364,0.00016493791,0.00019729257,0.000018179191,0.000001381905,0.0023390783,0.00017015956,0.000026165519,0.995232,0.0000886608,0.001552465],"study_design_scores_gemma":[0.0007577158,0.00011074549,0.0005170019,0.0000891573,0.000021347978,0.0000029116586,0.00030823672,0.011088147,0.00049149623,0.98639613,0.00009063941,0.00012649439],"about_ca_topic_score_codex":0.000011798446,"about_ca_topic_score_gemma":0.000111726506,"teacher_disagreement_score":0.0444472,"about_ca_system_score_codex":0.000028037022,"about_ca_system_score_gemma":0.000021926442,"threshold_uncertainty_score":0.46850777},"labels":[],"label_agreement":null},{"id":"W2132570294","doi":"10.1007/jhep03(2012)098","title":"Loop equations and topological recursion for the arbitrary-β two-matrix model","year":2012,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; University of Alberta","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Agence Nationale de la Recherche; European Science Foundation; University of Alberta; Government of Canada; CERN","keywords":"Recursion (computer science); Loop (graph theory); Hermitian matrix; Algebraic curve; Order (exchange); Differential equation; Operator (biology); Topology (electrical circuits); Topological quantum number","score_opus":0.04878302535715435,"score_gpt":0.3206091458943381,"score_spread":0.27182612053718375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132570294","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18140736,0.00068205304,0.81640893,0.0005563685,0.00075480505,0.00006262694,0.0000037577668,0.000009236114,0.000114836614],"genre_scores_gemma":[0.98748976,0.000076950055,0.010779947,0.00012554855,0.001337874,0.000005512888,8.8183975e-7,0.000014164613,0.00016936006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992611,0.000033065626,0.0002624571,0.00006357733,0.0002034196,0.00017638302],"domain_scores_gemma":[0.9986037,0.0007833587,0.00027692647,0.0001360445,0.00012152019,0.00007845213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021769849,0.00010624674,0.00021106385,0.000018937515,0.00015974673,0.000025796233,0.00014841821,0.000060769893,0.0000071486515],"category_scores_gemma":[0.00010314151,0.00006078354,0.0001255901,0.000060259477,0.000048554346,0.00019522934,0.000041412157,0.00014257054,2.1621601e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040431856,0.00007111124,0.000006886109,0.0000064918986,0.000048851773,2.599168e-7,0.00013447784,0.0014831662,0.000042882675,0.9961178,0.00052711915,0.001520579],"study_design_scores_gemma":[0.00053997175,0.00009180587,0.000009859614,0.000011687718,0.00011238431,0.000012273276,0.000046573878,0.01095004,0.00069105864,0.9872166,0.0002388594,0.000078921206],"about_ca_topic_score_codex":0.0000091700485,"about_ca_topic_score_gemma":8.947327e-7,"teacher_disagreement_score":0.8060824,"about_ca_system_score_codex":0.000026269594,"about_ca_system_score_gemma":0.00003691095,"threshold_uncertainty_score":0.24786808},"labels":[],"label_agreement":null},{"id":"W2132862541","doi":"10.4171/owr/2006/08","title":"Mini-Workshop: Thick Subcategories - Classifications and Applications","year":2006,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Computer science","score_opus":0.027678470600701298,"score_gpt":0.2805768810652621,"score_spread":0.2528984104645608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132862541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8677653,0.0017172504,0.0346657,0.002244831,0.0012701689,0.0019588736,0.000012752661,0.00078390853,0.08958119],"genre_scores_gemma":[0.99232244,0.000014396652,0.002206843,0.0000345244,0.00039052172,0.00024097234,0.000030204508,0.00003040474,0.00472971],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859214,0.000027017712,0.00051601004,0.0003843902,0.0002481777,0.00023228252],"domain_scores_gemma":[0.9986686,0.00019848021,0.0002869522,0.0006562106,0.00011153417,0.00007818781],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020040547,0.00017819252,0.00022348903,0.000055726807,0.0002877028,0.00009454771,0.00009799542,0.00015232913,0.00005915346],"category_scores_gemma":[0.00009795673,0.00015965744,0.00006785608,0.00020184531,0.00012522344,0.00010825793,0.00006195366,0.00016228289,0.0000055163227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000021543665,0.00006187458,0.003192608,0.000025399857,0.000015760164,0.000013826945,0.000076575765,0.000004116342,0.000087917455,0.99033463,0.0052926727,0.0008924576],"study_design_scores_gemma":[0.00009102201,0.000007971952,0.004521712,0.0000067743067,0.000047563604,0.00017099683,0.000101821264,0.000017907967,0.00025196144,0.94990814,0.044696808,0.00017733469],"about_ca_topic_score_codex":0.0000949925,"about_ca_topic_score_gemma":0.000053965647,"teacher_disagreement_score":0.1245571,"about_ca_system_score_codex":0.000034525685,"about_ca_system_score_gemma":0.00006010595,"threshold_uncertainty_score":0.65106416},"labels":[],"label_agreement":null},{"id":"W2133744316","doi":"10.70930/tac/tms71slg","title":"On categorical crossed modules","year":2006,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Fonds De La Recherche Scientifique - FNRS","keywords":"Categorical variable; Mathematics; Lemma (botany); Kernel (algebra); Pure mathematics; Group (periodic table); Statistics","score_opus":0.010637539928837102,"score_gpt":0.2657522994229821,"score_spread":0.255114759494145,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133744316","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8394992,0.0003232763,0.1449066,0.00009421988,0.00007820523,0.00038260495,0.000010685686,0.00010646849,0.014598785],"genre_scores_gemma":[0.99875844,0.0000073041397,0.00031183244,0.00001819616,0.00012297259,0.00009390501,0.000006722353,0.0000120370405,0.00066857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993959,0.00003941082,0.00019723142,0.00014876795,0.000109475266,0.00010921275],"domain_scores_gemma":[0.9990056,0.00054818514,0.00008809367,0.00027451164,0.00005585978,0.000027704762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001874299,0.00010518609,0.00016600238,0.000038720675,0.00014376857,0.00002138104,0.00012582217,0.00006225908,0.000036047488],"category_scores_gemma":[0.000042385684,0.000084291285,0.00003816948,0.00011015414,0.00023059292,0.000041917825,0.000029764156,0.000067919864,0.0000035885012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055961616,0.000066250555,0.000018008344,0.000026183649,0.000009276768,1.5633458e-7,0.00008299518,0.000012613973,0.0001714951,0.998173,0.00024651605,0.0011375342],"study_design_scores_gemma":[0.00019105623,0.000032295604,0.00017452835,0.0000025696015,0.000021101077,0.0000023767343,0.000093177405,0.000007280015,0.0053468803,0.99323857,0.0007990504,0.00009108918],"about_ca_topic_score_codex":0.000023568811,"about_ca_topic_score_gemma":0.0000018220331,"teacher_disagreement_score":0.1592593,"about_ca_system_score_codex":0.000008454228,"about_ca_system_score_gemma":0.0000132632085,"threshold_uncertainty_score":0.34372988},"labels":[],"label_agreement":null},{"id":"W2135248369","doi":"10.1007/s11139-015-9722-8","title":"A motivated proof of the Göllnitz–Gordon–Andrews identities","year":2015,"lang":"en","type":"article","venue":"The Ramanujan Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Combinatorial proof; Algebraic number; Ramanujan's sum; Vertex (graph theory); Combinatorics; Algebra over a field; Pure mathematics; Graph","score_opus":0.07542474400604823,"score_gpt":0.295775432009235,"score_spread":0.22035068800318677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135248369","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9936733,0.0002480995,0.00084439473,0.00093911745,0.001538524,0.00023006057,0.0000018728044,0.00001830061,0.0025063232],"genre_scores_gemma":[0.9977105,0.0000056446643,0.0001356763,0.00007064934,0.00045894645,0.0000038872345,1.9391267e-7,0.000020664282,0.0015937957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984736,0.00024521572,0.00040218714,0.00008788569,0.00056507625,0.00022605168],"domain_scores_gemma":[0.9987436,0.00013273823,0.0003967572,0.0004094772,0.00022120596,0.00009621183],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008697512,0.00014056594,0.00023651287,0.000038858798,0.00023730977,0.00009422435,0.00073613576,0.00006501155,0.00008136961],"category_scores_gemma":[0.00048290097,0.00006551362,0.00017067858,0.00016946057,0.00016100153,0.00011962146,0.00015968422,0.0004399048,0.0000037058637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022163586,0.00019551821,0.0017996605,0.000077015764,0.00039939396,0.00001782446,0.01602128,0.00029975254,0.00034333137,0.9313251,0.046606362,0.0026931416],"study_design_scores_gemma":[0.0007216933,0.00007473366,0.00032602335,0.00006298998,0.000066986366,0.00025970404,0.00095225644,0.000076784025,0.0036094226,0.9932731,0.0004891571,0.000087196844],"about_ca_topic_score_codex":0.000009243245,"about_ca_topic_score_gemma":0.0000042297374,"teacher_disagreement_score":0.06194797,"about_ca_system_score_codex":0.00004957054,"about_ca_system_score_gemma":0.00013999706,"threshold_uncertainty_score":0.26715678},"labels":[],"label_agreement":null},{"id":"W2135845919","doi":"10.1016/j.jalgebra.2006.07.026","title":"On two geometric constructions of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi>U</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mi mathvariant=\"fraktur\">sl</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:math> and its representations","year":2006,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Quiver; Mathematics; Quotient; Pure mathematics; Product (mathematics); Algebra over a field; Geometry","score_opus":0.01724606551985743,"score_gpt":0.2530924128758858,"score_spread":0.23584634735602836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135845919","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9669048,0.0028175318,0.0011154851,0.0009108672,0.005074217,0.00015302362,0.00059159833,0.0002243151,0.022208152],"genre_scores_gemma":[0.9885111,0.0018109482,0.0037164649,0.00078092795,0.0035023547,0.00035470282,0.00034795867,0.0008274335,0.00014810654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9864118,0.0006898127,0.004141718,0.0020200007,0.004065428,0.002671243],"domain_scores_gemma":[0.9865351,0.003327747,0.0055180364,0.0023498733,0.00073252164,0.0015367392],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.0025166706,0.0014249488,0.0009983381,0.0016134164,0.0022808602,0.0018867571,0.0025235657,0.0027611172,0.018491622],"category_scores_gemma":[0.0031939214,0.0022807438,0.0026888335,0.0025916088,0.0016918281,0.0020511153,0.001719785,0.0031078556,0.00077047513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015575053,0.0007819248,0.000052732616,0.001175141,0.0029786206,0.0011372339,0.0018285962,0.0035104083,0.0016325086,0.9138457,0.06951822,0.0019814002],"study_design_scores_gemma":[0.007525254,0.004245481,0.00024369019,0.0028002243,0.0051141856,0.0069557964,0.004797545,0.021439932,0.5954897,0.34714428,0.0012490468,0.0029948787],"about_ca_topic_score_codex":0.0019509632,"about_ca_topic_score_gemma":0.0006662262,"teacher_disagreement_score":0.59385717,"about_ca_system_score_codex":0.00007356809,"about_ca_system_score_gemma":0.0021694966,"threshold_uncertainty_score":0.99985003},"labels":[],"label_agreement":null},{"id":"W2136682675","doi":"10.1007/s10711-010-9467-x","title":"Mackey functors and bisets","year":2010,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Functor; Mathematics; Functor category; Natural transformation; Pure mathematics; Morphism; Exact functor; Abelian group; Derived functor; Ext functor; Adjoint functors","score_opus":0.024054846773076437,"score_gpt":0.2987426851727484,"score_spread":0.2746878383996719,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2136682675","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99513257,0.0001377197,0.0002977578,0.0003393628,0.0021126173,0.00016776363,0.000016406959,0.00010855621,0.0016872273],"genre_scores_gemma":[0.9973634,0.000022947803,0.0015613681,0.000119757795,0.0006405533,0.0000106198695,0.000010806421,0.000026109383,0.00024442197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988566,0.000019168892,0.0002313681,0.00029000372,0.00032458542,0.00027828224],"domain_scores_gemma":[0.99870217,0.00038649957,0.00009807291,0.0005506755,0.00004961693,0.00021293717],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036522793,0.00015839041,0.00023355064,0.00023356163,0.000110119974,0.000055117634,0.00030258897,0.00017557031,0.0006387035],"category_scores_gemma":[0.0014940896,0.00012756608,0.000055712437,0.00046686584,0.000107121945,0.000085361244,0.00019062973,0.00033823124,0.000039610535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040787232,0.00008453783,0.0055711446,0.00006886515,0.00009470421,0.0000115271305,0.00023096144,7.798041e-8,0.0011671485,0.94029176,0.024410263,0.028028237],"study_design_scores_gemma":[0.0008951161,0.000054663382,0.004970994,0.00000897557,0.000052152292,0.000026237843,0.000035311736,0.000021357153,0.0009554034,0.9653191,0.0274314,0.00022926244],"about_ca_topic_score_codex":0.00003289438,"about_ca_topic_score_gemma":0.000015989732,"teacher_disagreement_score":0.027798975,"about_ca_system_score_codex":0.000008521778,"about_ca_system_score_gemma":0.00003569349,"threshold_uncertainty_score":0.6993355},"labels":[],"label_agreement":null},{"id":"W2139129278","doi":"10.1017/s0017089512000845","title":"IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI","year":2013,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Torus; Integer (computer science); Irreducible representation; Bounded function; Semidirect product; Lie algebra; Combinatorics; Pure mathematics; Algebra over a field; Physics; Group (periodic table); Geometry; Mathematical analysis; Quantum mechanics","score_opus":0.03158188530501224,"score_gpt":0.2809392054511162,"score_spread":0.24935732014610398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2139129278","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9525738,0.00009479693,0.043609086,0.0014451476,0.00082816463,0.0003966661,0.000003417491,0.000038086317,0.0010108522],"genre_scores_gemma":[0.9918618,0.000017602302,0.0070270025,0.00010996997,0.0006933447,0.000025232743,0.0000023631392,0.00003309555,0.00022956028],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977594,0.000108774184,0.0008074095,0.00018522797,0.0008030899,0.00033612002],"domain_scores_gemma":[0.9979817,0.00068961544,0.00046004273,0.0003926224,0.00033135098,0.00014466849],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005414602,0.00022633071,0.00040198828,0.00007864669,0.0003076789,0.00023217127,0.00043793963,0.00013991664,0.0028725173],"category_scores_gemma":[0.0008438725,0.00013724003,0.0002142602,0.00017796003,0.00016027039,0.00041134644,0.00010265724,0.00038539627,0.00006181255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012636281,0.00012594732,0.00006607104,0.000069760215,0.00008930882,0.0000012801623,0.0007337715,0.000015573398,0.0006006667,0.98783875,0.0099568255,0.0004893998],"study_design_scores_gemma":[0.00050196,0.00007021167,0.0015465973,0.000093850045,0.00005609684,0.00013415767,0.0003420291,0.0047389865,0.00084221753,0.99136627,0.00014815465,0.00015944296],"about_ca_topic_score_codex":0.00000989735,"about_ca_topic_score_gemma":0.000001032594,"teacher_disagreement_score":0.039288048,"about_ca_system_score_codex":0.000058560687,"about_ca_system_score_gemma":0.00008619299,"threshold_uncertainty_score":0.998039},"labels":[],"label_agreement":null},{"id":"W2139311358","doi":"10.1007/978-1-4612-1206-5_18","title":"Creation Operators for the Calogero—Sutherland Model and Its Relativistic Version","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Integrable system; Wave function; Ground state; Pure mathematics; Algebra over a field; State (computer science); Mathematical physics; Excited state; Physics; Mathematics; Theoretical physics; Quantum mechanics; Algorithm","score_opus":0.03941201007173479,"score_gpt":0.27490051078433714,"score_spread":0.23548850071260236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2139311358","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.005921929,0.0016837597,0.016186615,0.0004294306,0.0007041345,0.0027118872,0.00016024242,0.00016546533,0.97203654],"genre_scores_gemma":[0.25496453,0.0003521458,0.00048727676,0.000103472266,0.00024353353,0.000035244913,0.000028567825,0.00009235583,0.7436929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991779,0.000008146401,0.00022822876,0.0002644669,0.00018631479,0.00013495078],"domain_scores_gemma":[0.9989957,0.00054023426,0.00009846414,0.00024100587,0.00007363929,0.000050956063],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000101759775,0.00025908227,0.00030167925,0.000037983584,0.00022318041,0.000044603235,0.0001276887,0.00032251034,0.0004172932],"category_scores_gemma":[0.000052516858,0.00015796891,0.00009656752,0.000010393471,0.000040149414,0.000048010752,0.000039947012,0.00018343948,0.000013342536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051200448,0.00000379258,2.5027245e-7,0.000033346114,0.00006767227,4.1803105e-7,0.00013792617,0.00014737179,0.0000020645602,0.99722916,0.0017475181,0.0005793006],"study_design_scores_gemma":[0.00041502083,0.00005519573,0.0000010253999,0.000059056067,0.0002358012,0.000002900132,0.000007433408,0.032472655,0.000008706043,0.96091586,0.0056252056,0.0002011411],"about_ca_topic_score_codex":0.0000048735396,"about_ca_topic_score_gemma":0.0000056644194,"teacher_disagreement_score":0.2490426,"about_ca_system_score_codex":0.000040728115,"about_ca_system_score_gemma":0.000048834478,"threshold_uncertainty_score":0.6441785},"labels":[],"label_agreement":null},{"id":"W2140988394","doi":"10.4171/jncg/125","title":"Bost–Connes systems, Hecke algebras, and induction","year":2013,"lang":"en","type":"preprint","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Hecke algebra; Algebraic number field; Algebraic group; Group (periodic table); Pure mathematics; Algebra over a field; Multiplicative function; Group algebra; Field (mathematics); Root of unity; Morphism; Functor; Algebraic number; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.052239947016899754,"score_gpt":0.3243433799694825,"score_spread":0.2721034329525827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140988394","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9836071,0.006748399,0.002746704,0.00031315384,0.0056000147,0.0004151938,0.000021761818,0.00003025374,0.0005174268],"genre_scores_gemma":[0.99328846,0.00046463593,0.004351737,0.00004895534,0.0015025698,0.000017513801,0.0000066267485,0.000064958345,0.00025453512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99697375,0.00041673105,0.0012985528,0.000295065,0.0007082647,0.00030761462],"domain_scores_gemma":[0.9948066,0.0009476047,0.002623973,0.00045891246,0.00093713007,0.00022577666],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010422451,0.0004751363,0.0012962371,0.00063296314,0.00014679423,0.00028066774,0.0005549678,0.0005851812,0.000117853044],"category_scores_gemma":[0.00083714473,0.00037158182,0.00028402277,0.0002511547,0.00016012213,0.00032714172,0.00069541665,0.0019746008,0.000009951577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00046708132,0.0008349597,0.0042122775,0.005504579,0.0063234386,0.00025635186,0.011510498,0.0009501005,0.00048067103,0.9019222,0.04673871,0.020799136],"study_design_scores_gemma":[0.0008655545,0.00033065732,0.0018228146,0.00087397586,0.00031771313,0.00046173722,0.0028690507,0.00014137018,0.00016213035,0.99109584,0.0006337086,0.00042543226],"about_ca_topic_score_codex":0.000108647604,"about_ca_topic_score_gemma":0.0000014072214,"teacher_disagreement_score":0.08917366,"about_ca_system_score_codex":0.0002303858,"about_ca_system_score_gemma":0.000221857,"threshold_uncertainty_score":0.99987364},"labels":[],"label_agreement":null},{"id":"W2141322887","doi":"10.1016/j.crma.2003.11.037","title":"Stable anti-Yetter–Drinfeld modules","year":2004,"lang":"fr","type":"article","venue":"Comptes Rendus Mathématique","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Pure mathematics; Hopf algebra; Algebra over a field","score_opus":0.024728509523157405,"score_gpt":0.2671770144484268,"score_spread":0.24244850492526937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141322887","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9278543,0.014531853,0.030992202,0.006965268,0.0075858906,0.00097285013,0.00010860262,0.00050013326,0.010488919],"genre_scores_gemma":[0.969596,0.0012066701,0.022353088,0.0006342681,0.0012223084,0.00006909133,0.000033400785,0.00018486696,0.004700263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99641377,0.00018675701,0.0010142048,0.00070926535,0.0005973212,0.0010786549],"domain_scores_gemma":[0.9973658,0.0003552449,0.00045782505,0.0012582883,0.00021080533,0.0003520445],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035476577,0.00075549306,0.0010798001,0.00016482675,0.00034697767,0.0003351304,0.0008135801,0.0006815217,0.0033366976],"category_scores_gemma":[0.00020855482,0.00076376705,0.00035563344,0.0003747706,0.00028769937,0.00046293103,0.00041750408,0.0009218652,0.0011054574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014191166,0.0004209241,0.00018462358,0.000759163,0.00019854138,0.000088769986,0.0012985351,0.0023435107,0.00042386042,0.9736216,0.0188854,0.001760852],"study_design_scores_gemma":[0.0014955893,0.00015534718,0.00068970805,0.001036068,0.00015321578,0.00016693192,0.00021310305,0.0010334773,0.0069936262,0.9658955,0.02131145,0.000855982],"about_ca_topic_score_codex":0.00050957565,"about_ca_topic_score_gemma":0.000036746114,"teacher_disagreement_score":0.041741762,"about_ca_system_score_codex":0.00041618966,"about_ca_system_score_gemma":0.00025422376,"threshold_uncertainty_score":0.9996723},"labels":[],"label_agreement":null},{"id":"W2142457098","doi":"10.1017/is010011013jkt134","title":"A derived equivalence for a degree 6 del Pezzo surface over an arbitrary field","year":2011,"lang":"en","type":"article","venue":"Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"University of Washington; National Science Foundation","keywords":"Isomorphism (crystallography); Mathematics; Separable space; Equivalence (formal languages); Degree (music); Field (mathematics); Pure mathematics; Combinatorics; Algebra over a field; Physics; Mathematical analysis; Crystallography","score_opus":0.06177063537529411,"score_gpt":0.3287477922739374,"score_spread":0.2669771568986433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142457098","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8733761,0.0013384067,0.123845555,0.00020266697,0.00020090035,0.0005141374,0.000014425275,0.000024873249,0.00048296226],"genre_scores_gemma":[0.9863023,0.00017023084,0.011879534,0.0010529815,0.00026843205,0.00005444556,0.0000017618888,0.0000308517,0.00023943183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982888,0.00028881105,0.00059627247,0.00034231067,0.00014236703,0.0003414084],"domain_scores_gemma":[0.9962947,0.002362214,0.0003953247,0.00033727757,0.0002775816,0.00033292736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016301499,0.0002549919,0.0004893062,0.00022729504,0.000301905,0.000034400196,0.00039316158,0.0002493417,0.00044447242],"category_scores_gemma":[0.00085300417,0.00021062768,0.00011541086,0.00027152186,0.00016885753,0.00031356918,0.00012183871,0.0003078771,0.0000027729386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011771311,0.00017116015,0.00012446097,0.00008075279,0.0001263299,0.000004423068,0.0011038004,9.536733e-7,0.0012076778,0.9883051,0.000091066606,0.00760713],"study_design_scores_gemma":[0.00078625116,0.0010691774,0.000674809,0.000030069019,0.00017398196,0.000213981,0.00077683746,0.000019157316,0.005668629,0.9896911,0.00064455543,0.00025144278],"about_ca_topic_score_codex":0.0000036316887,"about_ca_topic_score_gemma":0.0000025135678,"teacher_disagreement_score":0.11292625,"about_ca_system_score_codex":0.000018724086,"about_ca_system_score_gemma":0.00007713013,"threshold_uncertainty_score":0.8589148},"labels":[],"label_agreement":null},{"id":"W2142892607","doi":"10.1007/s10468-007-9073-2","title":"Picard Groups of Rings of Coinvariants","year":2007,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Sackville Memorial Hospital","funders":"","keywords":"Mathematics; Bijection; Hopf algebra; Subring; Coalgebra; Group (periodic table); Picard group; Exact sequence; Field (mathematics); Pure mathematics; Algebra over a field; Ring (chemistry); Combinatorics; Chemistry","score_opus":0.026335665476341197,"score_gpt":0.31425642898700695,"score_spread":0.28792076351066576,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142892607","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9846908,0.00015775622,0.010984853,0.000022950768,0.00022427939,0.00013734071,0.000001945781,0.000017955663,0.0037621586],"genre_scores_gemma":[0.99868375,0.000026862486,0.0010128776,0.000024275281,0.0000636016,0.0000020095963,0.0000017046466,0.000012080079,0.0001728144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990998,0.00006345627,0.00036983393,0.00015049649,0.000196207,0.00012023479],"domain_scores_gemma":[0.9987182,0.0006850779,0.00024032875,0.00022327306,0.000084782696,0.00004833585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006056566,0.00008699847,0.0002263643,0.00007121142,0.00003934983,0.000006091279,0.00009439827,0.000073071984,0.00007796727],"category_scores_gemma":[0.0002488618,0.000070858274,0.00006529051,0.0001262323,0.00014440602,0.00007534239,0.000057649075,0.000062807114,7.220728e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001075968,0.000034877146,0.003389486,0.000053781256,0.00005804768,0.000001643858,0.0010788284,8.1619083e-7,0.002213381,0.9906296,0.00005814171,0.0023737568],"study_design_scores_gemma":[0.00046846725,0.000050807783,0.015985906,0.000023962086,0.000041113515,0.000006384765,0.0008764476,0.000007311535,0.03205092,0.9504074,0.000011959649,0.000069351],"about_ca_topic_score_codex":0.000026468451,"about_ca_topic_score_gemma":0.0000023836446,"teacher_disagreement_score":0.040222272,"about_ca_system_score_codex":0.0000059247186,"about_ca_system_score_gemma":0.000012585915,"threshold_uncertainty_score":0.28895167},"labels":[],"label_agreement":null},{"id":"W2143057987","doi":"10.1090/s1088-4165-03-00182-1","title":"Projective rational smoothness of varieties of representations for quivers of type 𝐴","year":2003,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Type (biology); Computer science; Mathematics; Geology","score_opus":0.04059273692460632,"score_gpt":0.3340963057843015,"score_spread":0.2935035688596952,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143057987","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8836064,0.00013955883,0.11061116,0.00017900403,0.00044531887,0.0021142492,0.00016085834,0.000017740529,0.0027257474],"genre_scores_gemma":[0.9787016,0.00003979694,0.020644793,0.00002122001,0.000035473247,0.00004481772,0.000006454262,0.000036077574,0.00046978312],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99668854,0.0007018658,0.0012964716,0.00031566274,0.0007692408,0.0002282028],"domain_scores_gemma":[0.99015254,0.0049803243,0.0028743667,0.0008036804,0.0011349564,0.000054120574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001151333,0.00024813358,0.0010503028,0.00005539498,0.00012834425,0.00001027462,0.00045498202,0.000118233795,0.00019334484],"category_scores_gemma":[0.0041421955,0.00019022923,0.0009531385,0.00085797586,0.0024586609,0.00011053232,0.00012536903,0.0001574746,7.5235914e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037045582,0.0005100434,0.00066808244,0.0013083753,0.00087055756,4.3009955e-8,0.014872783,0.00047132993,0.0038780686,0.9765681,0.00032383873,0.00015829851],"study_design_scores_gemma":[0.00074731524,0.00026639257,0.0008061577,0.00015270826,0.00054555363,0.0000021227083,0.03023582,0.00088924594,0.059465576,0.9067349,0.000008002416,0.00014623372],"about_ca_topic_score_codex":0.00006383015,"about_ca_topic_score_gemma":7.0664476e-7,"teacher_disagreement_score":0.095095225,"about_ca_system_score_codex":0.000059464004,"about_ca_system_score_gemma":0.0003711061,"threshold_uncertainty_score":0.9059039},"labels":[],"label_agreement":null},{"id":"W2144347092","doi":"10.1016/j.jpaa.2004.02.009","title":"Vertical components and flatness of Nash mappings","year":2004,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Mathematics; Morphism; Flatness (cosmology); Dimension (graph theory); Nash equilibrium; Torsion (gastropod); Pure mathematics; Discrete mathematics; Combinatorics; Mathematical economics","score_opus":0.02060423778064679,"score_gpt":0.2534509539904578,"score_spread":0.232846716209811,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144347092","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9979767,0.00023026395,0.0009761702,0.00025036113,0.00016649965,0.00008255298,8.4212996e-7,0.000006356684,0.00031023705],"genre_scores_gemma":[0.998093,0.000038044032,0.0016175575,0.000069844245,0.00016126968,9.87961e-7,3.0671447e-7,0.000012251564,0.000006758972],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908006,0.000010962039,0.00040870317,0.00009998185,0.00026259894,0.00013770873],"domain_scores_gemma":[0.999459,0.00008166802,0.00018617867,0.000093646704,0.00006421849,0.00011525509],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016595508,0.0001231228,0.00038074254,0.000059249207,0.000051724655,0.000024603396,0.00011196937,0.00009576242,0.000012471341],"category_scores_gemma":[0.00003079264,0.00009204995,0.00006114525,0.00006899398,0.00008889755,0.00006736741,0.0000619879,0.00019598068,5.1172157e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009590462,0.00007208016,0.00011262771,0.000092653994,0.00008187029,0.000008069115,0.0006063757,0.0000047733793,0.012042467,0.9859825,0.00008901228,0.0008117131],"study_design_scores_gemma":[0.0017484396,0.00010541531,0.0018494827,0.00008554778,0.000074735864,0.00010640211,0.00017757366,0.0000047995286,0.008451603,0.98718715,0.000106838066,0.00010199408],"about_ca_topic_score_codex":0.0000018105635,"about_ca_topic_score_gemma":5.198557e-7,"teacher_disagreement_score":0.0035908637,"about_ca_system_score_codex":0.000015146987,"about_ca_system_score_gemma":0.000030184488,"threshold_uncertainty_score":0.3753688},"labels":[],"label_agreement":null},{"id":"W2144460980","doi":"10.1142/s0219498811005798","title":"GAUGE DEFORMATIONS FOR HOPF ALGEBRAS WITH THE DUAL CHEVALLEY PROPERTY","year":2011,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"Natural Sciences and Engineering Research Council of Canada; Università degli Studi di Ferrara","keywords":"Hopf algebra; Bialgebra; Bosonization; Mathematics; Zero (linguistics); Quasitriangular Hopf algebra; Gauge theory; Dual (grammatical number); Duality (order theory); Pure mathematics; Mathematical physics; Physics; Algebra over a field; Division algebra; Filtered algebra; Quantum mechanics","score_opus":0.048344484294934986,"score_gpt":0.2861027279046372,"score_spread":0.2377582436097022,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144460980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86896706,0.004489952,0.10146714,0.01094985,0.0009859821,0.008403466,0.00021150024,0.00013333668,0.0043917103],"genre_scores_gemma":[0.99045825,0.00044056808,0.006415693,0.00023253856,0.0010023358,0.00076870463,0.000018726849,0.000070639384,0.00059251767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984218,0.000050178405,0.0006899201,0.00024142924,0.00035120282,0.00024549925],"domain_scores_gemma":[0.99711746,0.00031430108,0.0011579663,0.00047169052,0.00078681024,0.00015177674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045935236,0.0003127422,0.0005040697,0.00010838462,0.00045382947,0.00012893841,0.0005251961,0.00024312781,0.000043407308],"category_scores_gemma":[0.00009764878,0.00014679476,0.00022711426,0.0001260391,0.00010166228,0.00017052404,0.00022512271,0.0006636352,0.0000030090748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008335891,0.000121265606,0.0000065364525,0.00026240884,0.0003535014,7.26222e-7,0.0015077954,0.000011823194,0.000036738496,0.99019676,0.0059023164,0.001516789],"study_design_scores_gemma":[0.0006975489,0.0002085923,0.00009358351,0.00011698464,0.000573758,0.00013745815,0.00036955945,0.00011409047,0.00029459817,0.9831895,0.013940405,0.00026388103],"about_ca_topic_score_codex":0.000008851687,"about_ca_topic_score_gemma":0.000012390002,"teacher_disagreement_score":0.121491216,"about_ca_system_score_codex":0.000051027066,"about_ca_system_score_gemma":0.0003503551,"threshold_uncertainty_score":0.59861165},"labels":[],"label_agreement":null},{"id":"W2145871751","doi":"10.1142/s0219498815500139","title":"Maximal subalgebras for Lie superalgebras of Cartan type","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Pure mathematics; Cartan matrix; Type (biology); Constructive; Cartan decomposition; Lie superalgebra; Dimension (graph theory); Kac–Moody algebra; Field (mathematics); Lie algebra; Algebra over a field; Fundamental representation; Adjoint representation of a Lie algebra; Weight; Affine Lie algebra","score_opus":0.028264458468152,"score_gpt":0.2981988866862572,"score_spread":0.2699344282181052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145871751","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98989964,0.0006792842,0.008047693,0.00044529725,0.00023361681,0.00038611583,0.000008088944,0.000014825352,0.00028547252],"genre_scores_gemma":[0.9952013,0.000099515986,0.0040003587,0.00008178825,0.00046947328,0.000022156635,0.0000024812612,0.000026465257,0.000096485506],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880135,0.000033469525,0.0006128006,0.00014616828,0.0002252537,0.00018096091],"domain_scores_gemma":[0.99803084,0.00060625625,0.0004476858,0.00021769149,0.00056268973,0.00013481831],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034782907,0.00014884889,0.00040871408,0.00010369206,0.000115324605,0.00002769711,0.00024979966,0.00010934442,0.00004529269],"category_scores_gemma":[0.00037878868,0.00012010421,0.0001436951,0.00018000323,0.00005287719,0.00013517561,0.000038280352,0.00014216585,0.0000020216805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005275052,0.00007024323,0.00017550906,0.00009213351,0.000063875515,1.6491347e-7,0.00016786475,8.24028e-7,0.002217543,0.9943386,0.00075768254,0.0020628306],"study_design_scores_gemma":[0.0007330687,0.00041360938,0.0005699364,0.0000293752,0.00014241562,0.000035654488,0.00008246939,0.00006832217,0.0051773563,0.98457474,0.008038802,0.00013423196],"about_ca_topic_score_codex":0.0000019101624,"about_ca_topic_score_gemma":0.0000017799226,"teacher_disagreement_score":0.00976382,"about_ca_system_score_codex":0.00001899855,"about_ca_system_score_gemma":0.000078945945,"threshold_uncertainty_score":0.48977077},"labels":[],"label_agreement":null},{"id":"W2146351047","doi":"10.70930/tac/kdrikifh","title":"Quasi-varieties of presheaves","year":2000,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Functor; Mathematics; Analogy; Pure mathematics; Characterization (materials science); Algebra over a field; Linguistics","score_opus":0.011367508039594153,"score_gpt":0.26579600734697945,"score_spread":0.2544284993073853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146351047","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9693959,0.0010153609,0.011260885,0.000058870126,0.000030738734,0.0003226492,0.000012736535,0.000045542092,0.017857326],"genre_scores_gemma":[0.9981617,0.00009748703,0.00042708835,0.0000075859884,0.000041917232,0.00005206242,0.0000021369267,0.000007267532,0.0012027661],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951977,0.000040710096,0.00019931766,0.00008947972,0.0000822996,0.00006842809],"domain_scores_gemma":[0.99927485,0.00032545376,0.000076988465,0.00025023439,0.000050242106,0.000022207198],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018998799,0.00007174935,0.00016936117,0.000022937456,0.00006526825,0.0000068704653,0.0001191411,0.00004545972,0.00029245095],"category_scores_gemma":[0.00002781177,0.000058924375,0.000032210537,0.00008151109,0.00030937023,0.000051318268,0.000019770738,0.000041202587,0.0000013084604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006518266,0.00006423047,0.000024355057,0.00007826137,0.000020688112,2.0091976e-8,0.0009582246,0.0000017889959,0.00008133258,0.98958033,0.000043849188,0.009081758],"study_design_scores_gemma":[0.00010996236,0.00005148844,0.000064433894,0.0000053860326,0.00003129479,0.000001319017,0.00056232105,0.000002571645,0.008427212,0.9888611,0.0018255718,0.000057379108],"about_ca_topic_score_codex":0.000010353792,"about_ca_topic_score_gemma":6.5753227e-7,"teacher_disagreement_score":0.028765798,"about_ca_system_score_codex":0.0000020823388,"about_ca_system_score_gemma":0.000016624668,"threshold_uncertainty_score":0.3202133},"labels":[],"label_agreement":null},{"id":"W2146799788","doi":"10.1016/j.jpaa.2005.02.010","title":"The fundamental correspondences in super affine groups and super formal groups","year":2005,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Mount Allison University","keywords":"Mathematics; Affine transformation; Formal group; Pure mathematics; Quotient; Hopf algebra; Algebra over a field","score_opus":0.01407660690578627,"score_gpt":0.2520460828672213,"score_spread":0.23796947596143503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146799788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99693894,0.0011904986,0.00007309889,0.00089994224,0.00027214314,0.00014283312,0.0000014044231,0.000007384921,0.00047372398],"genre_scores_gemma":[0.99844563,0.00020575519,0.00036354086,0.00017998525,0.0006889811,0.0000053960152,4.934547e-7,0.0000150749165,0.000095152674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875015,0.000031547002,0.00047997106,0.00013055331,0.0003223922,0.0002853679],"domain_scores_gemma":[0.99926245,0.0003114338,0.00017500677,0.00011156618,0.00003467446,0.000104865525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005629119,0.00017278848,0.00030333572,0.00007535894,0.00019891676,0.00013516188,0.00019325761,0.00010067801,0.000068822985],"category_scores_gemma":[0.000034464072,0.00010264308,0.00006549718,0.00009930311,0.00010817467,0.00031135423,0.00009909649,0.000349099,0.0000016047065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00036106748,0.000073797135,0.0011255911,0.000021537955,0.00005357703,0.000009924,0.0020524282,0.0000044859103,0.0007920054,0.97744644,0.0010628796,0.01699627],"study_design_scores_gemma":[0.0024245465,0.00025164668,0.005831565,0.0000478939,0.00006071111,0.00030733418,0.004211589,0.000072591734,0.0007667596,0.9821819,0.0036019983,0.00024144132],"about_ca_topic_score_codex":0.0000020728482,"about_ca_topic_score_gemma":0.000056599652,"teacher_disagreement_score":0.01675483,"about_ca_system_score_codex":0.000032740274,"about_ca_system_score_gemma":0.00003252701,"threshold_uncertainty_score":0.41856632},"labels":[],"label_agreement":null},{"id":"W2151281405","doi":"10.1142/s0129167x12500796","title":"MODULES FOR A SHEAF OF LIE ALGEBRAS ON LOOP MANIFOLDS","year":2012,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Sheaf; Pure mathematics; Lie algebra; Lie conformal algebra; Semidirect product; Algebra over a field; Affine Lie algebra; Graded Lie algebra; Coherent sheaf; Group (periodic table); Current algebra","score_opus":0.051353588757700054,"score_gpt":0.336117228039065,"score_spread":0.28476363928136494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151281405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9622827,0.00013987091,0.033643257,0.00030781588,0.00249134,0.00018314413,0.000016034312,0.0000126851155,0.0009231596],"genre_scores_gemma":[0.94980675,0.000020860052,0.04893898,0.00007199795,0.0009654228,0.0000053959857,0.0000012858212,0.000030908162,0.00015841342],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817973,0.000022166889,0.00080685545,0.00007208391,0.00073339394,0.00018575024],"domain_scores_gemma":[0.9974136,0.00078852166,0.00092214835,0.00018259154,0.00060017704,0.00009301245],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058174186,0.0001539305,0.00037175967,0.00016555622,0.000027030841,0.0000263321,0.00052329875,0.00009199313,0.00009993308],"category_scores_gemma":[0.0007769206,0.000117274976,0.0002817619,0.00005000206,0.00003574557,0.00017651009,0.000055038032,0.00013411137,0.000004955353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008198618,0.00061823626,0.00012928824,0.0001062502,0.0003338968,0.0000027159447,0.0010485557,0.000023411716,0.0003608255,0.9943243,0.0019851117,0.0009853889],"study_design_scores_gemma":[0.0009273194,0.00021699171,0.0001061562,0.00025118838,0.000090780064,0.00010977268,0.0003569851,0.00032228886,0.007937011,0.989042,0.00052149914,0.0001179964],"about_ca_topic_score_codex":0.0000012789152,"about_ca_topic_score_gemma":3.8051107e-7,"teacher_disagreement_score":0.015295722,"about_ca_system_score_codex":0.00007479657,"about_ca_system_score_gemma":0.000040061266,"threshold_uncertainty_score":0.47823346},"labels":[],"label_agreement":null},{"id":"W2152127269","doi":"10.1093/imrn/rnv172","title":"Hyperpolygons and Hitchin Systems","year":2015,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Centre de Recherches Mathématiques","keywords":"Mathematics; Library science; Computer science","score_opus":0.37966434511024116,"score_gpt":0.4726690453962921,"score_spread":0.09300470028605096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152127269","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9534906,0.00044515036,0.0014418935,0.0013039169,0.0018919662,0.00045924148,0.000013332087,0.00011137367,0.04084249],"genre_scores_gemma":[0.99061275,0.000019395537,0.0068719075,0.000016382275,0.00041337564,0.00004654377,0.0000027301103,0.000030560037,0.0019863693],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997524,0.00012568838,0.0003529275,0.00024768498,0.0014379292,0.00031173005],"domain_scores_gemma":[0.9973599,0.0013745107,0.00011338334,0.00031086855,0.000604503,0.00023685972],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001701134,0.00014462919,0.00023001016,0.00022500994,0.00011601051,0.00035248537,0.0005505644,0.00009381629,0.000046278365],"category_scores_gemma":[0.002694595,0.000115053714,0.000040513114,0.00014432048,0.00015289537,0.00022433867,0.00033044955,0.00030689576,0.0000576574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015481239,0.00010299372,0.00013387774,0.00008471304,0.0000685261,0.000010015764,0.0015712426,0.000031371426,0.000043976812,0.9948713,0.0028833062,0.00018314975],"study_design_scores_gemma":[0.00043437807,0.000062950174,0.000031214495,0.00009479147,0.0000121955145,0.0000320603,0.0024502317,0.017990451,0.00008171392,0.9753613,0.0033149994,0.00013370703],"about_ca_topic_score_codex":0.0001157754,"about_ca_topic_score_gemma":0.000012157238,"teacher_disagreement_score":0.03885612,"about_ca_system_score_codex":0.00011108184,"about_ca_system_score_gemma":0.000098679215,"threshold_uncertainty_score":0.46917543},"labels":[],"label_agreement":null},{"id":"W2153592123","doi":"10.1112/s0024611503014394","title":"Hochschild Cohomology and Representation-finite Algebras","year":2004,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; University of Toronto","funders":"","keywords":"Mathematics; Quiver; Cohomology; Algebraically closed field; Grothendieck group; Group cohomology; Algebra over a field; Pure mathematics; Endomorphism; Functor; Group (periodic table); Abelian group","score_opus":0.021644942894590322,"score_gpt":0.2737952493119665,"score_spread":0.2521503064173762,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153592123","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9950021,0.00007377269,0.0010019183,0.001734781,0.00012638055,0.00041340507,0.0000019894649,0.0000676611,0.0015780288],"genre_scores_gemma":[0.9837423,0.000028644581,0.015714569,0.00018259596,0.00012244604,0.000025849187,3.2526057e-7,0.000028098446,0.00015515799],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986688,0.000005821215,0.00041810123,0.00027098498,0.00038061285,0.00025567345],"domain_scores_gemma":[0.998941,0.00035548588,0.00028450316,0.00018144542,0.00015445316,0.000083113664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030099676,0.0001909483,0.00038900902,0.000016750899,0.00018018017,0.000045296132,0.00035926534,0.00016774854,0.000034904595],"category_scores_gemma":[0.0008409777,0.00012562946,0.0002725789,0.00022775872,0.00034711853,0.00012782743,0.00029841927,0.00025554537,0.0000039366955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011424233,0.000080082275,0.0006688115,0.00026579225,0.00007607157,1.2407013e-7,0.0018709416,0.0000033383226,0.0011580733,0.9954899,0.00032985033,0.000045572477],"study_design_scores_gemma":[0.00080907013,0.000043265394,0.00066488236,0.000100956146,0.000088200075,0.000026867652,0.0004325358,0.0001058482,0.012167453,0.9854041,0.000021382531,0.00013545254],"about_ca_topic_score_codex":0.0000074993873,"about_ca_topic_score_gemma":3.0280307e-7,"teacher_disagreement_score":0.014712651,"about_ca_system_score_codex":0.00004249824,"about_ca_system_score_gemma":0.000026112179,"threshold_uncertainty_score":0.5123021},"labels":[],"label_agreement":null},{"id":"W2154099120","doi":"10.1142/s0218196713400067","title":"THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A CLUSTER TILTED ALGEBRA REVISITED","year":2013,"lang":"en","type":"preprint","venue":"International Journal of Algebra and Computation","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Cohomology; Bimodule; Group (periodic table); Vector space; Extension (predicate logic); Cluster (spacecraft); Mathematics; Pure mathematics; Space (punctuation); Algebra over a field; Group cohomology; Combinatorics; Physics; Computer science; Quantum mechanics","score_opus":0.017814196254887376,"score_gpt":0.2918734764455674,"score_spread":0.27405928019068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154099120","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9611581,0.0013337,0.029589195,0.0030183636,0.0042848536,0.00040691617,0.000012238868,0.00002161707,0.00017501008],"genre_scores_gemma":[0.9951967,0.00039974827,0.0030814866,0.00024593994,0.0009872771,0.000010026086,0.0000222864,0.000029951052,0.000026568001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974786,0.00015990363,0.0012189649,0.0002322171,0.00074045896,0.0001698791],"domain_scores_gemma":[0.99536115,0.0009570959,0.002084354,0.00020443992,0.0013136058,0.000079349986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005327089,0.00027155486,0.00054658507,0.00022664807,0.00011480017,0.00020820257,0.00073836814,0.00026764936,0.00002717829],"category_scores_gemma":[0.00031653847,0.00019107605,0.00027078897,0.00008060747,0.00015475856,0.00015131613,0.0005020241,0.0006233512,0.0000022608904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007225836,0.00024112673,0.0011195741,0.000274892,0.002467047,0.00002804392,0.0017384588,0.0012831684,0.00004198489,0.9652528,0.008717523,0.018112788],"study_design_scores_gemma":[0.0011790282,0.0001834763,0.003562868,0.00044894574,0.00014518111,0.00020909056,0.00006945255,0.004791235,0.00004590414,0.98853004,0.00065342494,0.00018136048],"about_ca_topic_score_codex":0.00003240635,"about_ca_topic_score_gemma":0.000008492916,"teacher_disagreement_score":0.03403861,"about_ca_system_score_codex":0.00008738499,"about_ca_system_score_gemma":0.00009678964,"threshold_uncertainty_score":0.7791855},"labels":[],"label_agreement":null},{"id":"W2154743739","doi":"10.1139/p05-038","title":"Some aspects of a weak WeylHeisenberg algebra deformation","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Université de Toulouse","keywords":"Physics; Propagator; Creation and annihilation operators; Harmonic oscillator; Coherent states; Mathematical physics; Eigenvalues and eigenvectors; Fock space; Formalism (music); Path integral formulation; Operator (biology); Operator algebra; Wave function; Coherent states in mathematical physics; Quantum mechanics; Algebra over a field; Pure mathematics; Squeezed coherent state; Mathematics; Quantum","score_opus":0.018393733284528077,"score_gpt":0.24090944500470488,"score_spread":0.2225157117201768,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154743739","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.992799,0.00047186617,0.0011169548,0.00054369745,0.000950404,0.000103972256,0.000009641514,0.000007855201,0.003996634],"genre_scores_gemma":[0.99749374,0.000009203295,0.0008292354,0.00008653076,0.0015094025,6.0668384e-7,9.481911e-7,0.000017655635,0.000052679337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990672,0.000026136391,0.00041758784,0.00006001328,0.00021767002,0.00021138076],"domain_scores_gemma":[0.99882853,0.00005737386,0.00043740572,0.00016603361,0.00021556775,0.00029508772],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013660628,0.00011209489,0.00026526672,0.00009515078,0.000065118016,0.000024596122,0.0002180619,0.00006503354,0.000055278502],"category_scores_gemma":[0.00008309261,0.00009902128,0.0001486449,0.00013117473,0.000048659826,0.00040225693,0.0000088708375,0.00018219768,0.0000064066453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005321118,0.000014256641,0.000057238594,0.000024447725,0.000048617487,0.000004067363,0.0006967982,0.00013539584,0.00008784747,0.99325496,0.0018619075,0.0038091687],"study_design_scores_gemma":[0.0004006543,0.00007156597,0.00016123541,0.0000592812,0.0000464324,0.00003323875,0.00010741674,0.00011638893,0.0048228693,0.99219877,0.0018800886,0.000102063816],"about_ca_topic_score_codex":0.00022681436,"about_ca_topic_score_gemma":0.0010041844,"teacher_disagreement_score":0.004735022,"about_ca_system_score_codex":0.0001579976,"about_ca_system_score_gemma":0.00076547964,"threshold_uncertainty_score":0.40379706},"labels":[],"label_agreement":null},{"id":"W2155477322","doi":"10.1016/s0001-8708(03)00070-7","title":"Obstruction theory in model categories","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Contractible space; Lift (data mining); sort; Commutative property; Class (philosophy); Continuum hypothesis; Calculus (dental)","score_opus":0.020965430554453816,"score_gpt":0.30044709747951903,"score_spread":0.2794816669250652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2155477322","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8144861,0.0022136408,0.12885338,0.000033484244,0.0013734562,0.0006643887,0.0000029612488,0.00014200213,0.052230574],"genre_scores_gemma":[0.93006104,0.00020597107,0.06925487,0.00001868878,0.000029227593,0.00004696193,7.726119e-7,0.000032586937,0.0003498745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871445,0.00007461604,0.0004810425,0.00021647963,0.00022632454,0.00028709546],"domain_scores_gemma":[0.99896955,0.00046464137,0.00014673013,0.00034840233,0.00003436822,0.00003627577],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004962136,0.00019246188,0.00034121049,0.000116522155,0.00004507754,0.000020280359,0.00018277075,0.00010848902,0.000054707572],"category_scores_gemma":[0.00078047585,0.00016914673,0.00005039817,0.00027307429,0.00007276984,0.00033618754,0.000029609433,0.00021041068,0.000005059537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007426707,0.00008086024,0.00020746757,0.00013231838,0.0000041300755,0.0000031008367,0.0020662555,0.004039844,0.000010930225,0.99263185,0.0000068118948,0.0008090157],"study_design_scores_gemma":[0.00041602642,0.000012671321,0.000015638749,0.0000604131,0.000008885749,0.000010032111,0.0016826573,0.006470756,0.00035703141,0.9906558,0.000120286466,0.00018984581],"about_ca_topic_score_codex":0.0000016691037,"about_ca_topic_score_gemma":0.00003049621,"teacher_disagreement_score":0.11557493,"about_ca_system_score_codex":0.000095292206,"about_ca_system_score_gemma":0.00004125211,"threshold_uncertainty_score":0.6897604},"labels":[],"label_agreement":null},{"id":"W2157194441","doi":"10.4310/ajm.2011.v15.n2.a5","title":"$Q$-universal desingularization","year":2011,"lang":"en","type":"article","venue":"Asian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics","score_opus":0.05844804394543789,"score_gpt":0.26336934932935785,"score_spread":0.20492130538391995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157194441","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6451964,0.00005996141,0.32542452,0.00013178024,0.0011669365,0.00017621585,7.9595793e-7,0.00004716839,0.027796246],"genre_scores_gemma":[0.8288417,0.0000035669698,0.1708972,0.00001367432,0.00012885986,3.1474022e-7,1.3385964e-7,0.000021927222,0.000092627306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989823,0.00003704867,0.00048418166,0.000064726264,0.00028935046,0.00014240983],"domain_scores_gemma":[0.9988584,0.000064877924,0.0005896041,0.00019325915,0.00020187203,0.00009199664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003283235,0.00011782513,0.00026965502,0.00010380269,0.00005339742,0.000019799676,0.000273135,0.00007975724,0.00021404482],"category_scores_gemma":[0.00029619996,0.000093605064,0.0001308233,0.00011711918,0.000041544,0.0001646197,0.000029708717,0.0001562092,0.0000062630643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015170082,0.00016799761,0.00010952372,0.00005509336,0.000083234816,0.000039338174,0.014596846,9.13537e-7,0.00006611305,0.9835629,0.0003638341,0.00093902135],"study_design_scores_gemma":[0.00039387713,0.00014121174,0.00008782887,0.00008424481,0.00010168122,0.00022917763,0.00329168,0.00006232108,0.0010734786,0.9943791,0.000055387263,0.00009999875],"about_ca_topic_score_codex":8.023443e-7,"about_ca_topic_score_gemma":4.3291718e-7,"teacher_disagreement_score":0.18364532,"about_ca_system_score_codex":0.000034714336,"about_ca_system_score_gemma":0.00006215181,"threshold_uncertainty_score":0.38171038},"labels":[],"label_agreement":null},{"id":"W2158336499","doi":"10.1142/s0219199710003786","title":"CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA","year":2010,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":91,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Virasoro algebra; Pure mathematics; Class (philosophy); Verma module; Simple module; Algebra over a field; Simple (philosophy); Algebra representation; Cellular algebra; Lie algebra","score_opus":0.12932706172487898,"score_gpt":0.3555980182021548,"score_spread":0.22627095647727583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2158336499","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96852714,0.0007602013,0.0012810536,0.0017760659,0.0005571802,0.0009538093,0.000020147543,0.000117296186,0.02600712],"genre_scores_gemma":[0.9748444,0.00008527745,0.024516122,0.00004693512,0.00006294198,0.00013873506,0.000023438612,0.000048644648,0.00023353373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99791795,0.00020348383,0.001065712,0.0002476106,0.00035236235,0.00021288628],"domain_scores_gemma":[0.9924914,0.0020579677,0.0006641002,0.0045269243,0.00019815435,0.000061427934],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009568769,0.0002496093,0.00044989673,0.00015428392,0.00021504656,0.00005454521,0.0021478443,0.00021300175,0.00008188947],"category_scores_gemma":[0.00083567516,0.00018693192,0.00014671772,0.000501681,0.0005206783,0.00023264182,0.00047250418,0.0006867295,0.000009263346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008220722,0.0004520864,0.0010899635,0.00009198721,0.00004663446,3.836525e-7,0.00220527,0.0000015955702,0.0019360126,0.9920224,0.0016350298,0.00051042787],"study_design_scores_gemma":[0.0005554672,0.000022636861,0.0046678777,0.00010870787,0.000033763932,0.0000070252436,0.0008754951,0.008303657,0.0006357166,0.98127306,0.00329973,0.0002168876],"about_ca_topic_score_codex":0.000056650882,"about_ca_topic_score_gemma":0.00012707057,"teacher_disagreement_score":0.025773587,"about_ca_system_score_codex":0.000040458148,"about_ca_system_score_gemma":0.00015884296,"threshold_uncertainty_score":0.76228625},"labels":[],"label_agreement":null},{"id":"W2158386832","doi":"10.1016/j.jalgebra.2014.07.002","title":"On subcategories closed under predecessors and the representation dimension","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds de recherche du Québec – Nature et technologies; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Indecomposable module; Mathematics; Dimension (graph theory); Algebra over a field; Representation (politics); Finitely-generated abelian group; Pure mathematics","score_opus":0.020277369310458863,"score_gpt":0.286996643782354,"score_spread":0.26671927447189514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2158386832","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99442023,0.00010074765,0.0024115227,0.0016689117,0.0006582333,0.00010011196,1.4528239e-7,0.000009847001,0.0006302366],"genre_scores_gemma":[0.9990865,0.00003559454,0.0002940014,0.00024228168,0.00024784097,0.0000013475861,2.4916625e-7,0.000012840068,0.00007935369],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892926,0.00018227243,0.00034700774,0.00009113886,0.00034698236,0.00010333258],"domain_scores_gemma":[0.99804896,0.0011862455,0.0004103029,0.0001860407,0.00011858412,0.00004987446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060192787,0.00010103785,0.00025230055,0.00005240603,0.000111427165,0.000061916035,0.00013589117,0.00005868254,0.000022792112],"category_scores_gemma":[0.000615963,0.00005390875,0.000090147536,0.00008090616,0.0001017192,0.000120330915,0.00003555086,0.00018916574,0.0000014698663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003599747,0.00001979748,0.0000669817,0.00000862129,0.0000472133,0.0000010497545,0.0006089306,0.000046361616,0.00006043197,0.99711686,0.0010491988,0.0006145711],"study_design_scores_gemma":[0.0020804664,0.00017750742,0.0011261579,0.000027345808,0.000063454245,0.000031185275,0.0002214032,0.00021468547,0.0010518658,0.99487746,0.000065659486,0.00006283948],"about_ca_topic_score_codex":0.000005648547,"about_ca_topic_score_gemma":0.0000013453214,"teacher_disagreement_score":0.004666247,"about_ca_system_score_codex":0.000018058094,"about_ca_system_score_gemma":0.00001915918,"threshold_uncertainty_score":0.2198335},"labels":[],"label_agreement":null},{"id":"W2159165082","doi":"10.1112/s0010437x09004023","title":"Noncrossing partitions and representations of quivers","year":2009,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":129,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Coxeter group; Bijection; Quiver; Coxeter element; Representation theory; Context (archaeology); Bijection, injection and surjection; Cluster algebra; Weyl group","score_opus":0.03283688274196393,"score_gpt":0.3323314406344151,"score_spread":0.29949455789245116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159165082","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96736306,0.0000689313,0.013910876,0.00060459226,0.000088444634,0.00024862512,0.0000072964444,0.000083145074,0.017625043],"genre_scores_gemma":[0.9767188,0.0000047951053,0.023102213,0.000048139664,0.000032679065,0.0000058955034,0.000002440965,0.000007929133,0.00007713942],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992731,0.00002698617,0.0002822084,0.00013529205,0.0001530498,0.00012933307],"domain_scores_gemma":[0.9992397,0.00025617352,0.000121845995,0.00025848887,0.00006296351,0.000060849823],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008536422,0.00009779522,0.00022086642,0.00004821114,0.00015463342,0.000040935516,0.00009528217,0.000042968506,0.00006406203],"category_scores_gemma":[0.00008149595,0.000089375324,0.00006024608,0.00010401441,0.00010447724,0.00009718333,0.000028362494,0.00006378102,0.0000033348467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068335844,0.000079489364,0.000024135687,0.00005055091,0.000018241162,0.0000016248612,0.0011741043,0.0000048920897,0.0022402077,0.99565965,0.0004961876,0.00024408713],"study_design_scores_gemma":[0.00027684175,0.0000614178,0.0005752997,0.000090493784,0.000053642696,0.000021555861,0.00019204241,0.00032878033,0.0030300254,0.9952592,0.000018829029,0.0000918209],"about_ca_topic_score_codex":0.0000026521882,"about_ca_topic_score_gemma":4.2748474e-7,"teacher_disagreement_score":0.017547904,"about_ca_system_score_codex":0.000013466204,"about_ca_system_score_gemma":0.000017337416,"threshold_uncertainty_score":0.364462},"labels":[],"label_agreement":null},{"id":"W2159328623","doi":"10.1016/j.jalgebra.2005.08.030","title":"Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":75,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Homogeneous space; Mathematics; Symplectic geometry; Pure mathematics; Object (grammar); Quantum; Algebra over a field; Physics; Quantum mechanics; Geometry; Linguistics","score_opus":0.026122204044797794,"score_gpt":0.2974808708812314,"score_spread":0.27135866683643356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159328623","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9960063,0.0013194169,0.0012352059,0.0005246253,0.000518854,0.00008532289,0.000001699933,0.0000122418105,0.00029631777],"genre_scores_gemma":[0.9922822,0.000111073794,0.0068963114,0.00008751442,0.00053339463,9.816883e-7,2.3416509e-7,0.000022898412,0.00006535882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844784,0.000051549992,0.0007553926,0.00012000679,0.00041698306,0.00020824405],"domain_scores_gemma":[0.99815744,0.0005475701,0.0006721715,0.0002109015,0.00028818153,0.00012371613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042281437,0.00017622314,0.0005295448,0.00019444832,0.000058929963,0.000053607084,0.00024057373,0.000095569885,0.00010193456],"category_scores_gemma":[0.00042569105,0.00013066159,0.00018528299,0.00016100585,0.00011750625,0.00032493574,0.00008252014,0.00025729107,0.0000020058728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010340011,0.000088424364,0.00082100567,0.00006089778,0.00015993898,0.000008026743,0.0005627444,0.00001458898,0.000506154,0.99334687,0.0014085864,0.002919337],"study_design_scores_gemma":[0.0016141696,0.0003010708,0.00089787075,0.00009260476,0.00012148004,0.00018403165,0.00017332807,0.0001315872,0.0055522113,0.98999286,0.0007851058,0.00015365862],"about_ca_topic_score_codex":0.000009034591,"about_ca_topic_score_gemma":0.000005860298,"teacher_disagreement_score":0.0056611053,"about_ca_system_score_codex":0.000034602883,"about_ca_system_score_gemma":0.00006179731,"threshold_uncertainty_score":0.5328225},"labels":[],"label_agreement":null},{"id":"W2160049641","doi":"10.1103/physrevlett.96.257202","title":"Dynamical Spin Structure Factor for the Anisotropic Spin-<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Heisenberg Chain","year":2006,"lang":"lv","type":"article","venue":"Physical Review Letters","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":169,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Physics; Spin (aerodynamics); Ansatz; Anisotropy; Bethe ansatz; Field (mathematics); Condensed matter physics; Magnetic field; Mathematical physics; Quantum mechanics; Thermodynamics; Mathematics","score_opus":0.0165982255029152,"score_gpt":0.26688336413784963,"score_spread":0.25028513863493446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160049641","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9818728,0.005214317,0.0035982628,0.0046016457,0.00256904,0.0005505548,0.0011163658,0.00023079112,0.00024625397],"genre_scores_gemma":[0.983012,0.0021053618,0.0019341578,0.0061351857,0.004899376,0.00069767155,0.0006385188,0.00050217315,0.00007551556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9923695,0.0003512379,0.0018246137,0.001653215,0.0019002,0.0019012835],"domain_scores_gemma":[0.99389,0.0016684522,0.0016704517,0.0020427178,0.00016875255,0.00055966823],"candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0005840424,0.0013204344,0.0011451715,0.00012058425,0.0010936577,0.00068207446,0.0018884112,0.0007359077,0.00032841272],"category_scores_gemma":[0.0008707324,0.001323243,0.0023874699,0.00064081815,0.0008874566,0.0005433581,0.0009625552,0.0017340643,0.00049358315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023039036,0.00033560692,0.000003208934,0.004111422,0.0008090759,0.00012214997,0.00049842964,0.00035408983,0.002858195,0.977878,0.010753282,0.002046184],"study_design_scores_gemma":[0.0030065514,0.0014304717,0.00021729266,0.0058335704,0.004529004,0.0003419053,0.0003081455,0.8751673,0.012350689,0.061487827,0.032396425,0.0029308158],"about_ca_topic_score_codex":0.00028929225,"about_ca_topic_score_gemma":0.000106924614,"teacher_disagreement_score":0.9163901,"about_ca_system_score_codex":0.000093958304,"about_ca_system_score_gemma":0.00038052638,"threshold_uncertainty_score":0.9999547},"labels":[],"label_agreement":null},{"id":"W2160166731","doi":"10.1088/1742-6596/284/1/012018","title":"How to embed 'open' Lie superalgebras into affine Kac-Moody superalgebras","year":2011,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Affine transformation; Mathematics; Embedding; Pure mathematics; Formalism (music); Closure (psychology); Lie algebra; Algebra over a field; Affine Lie algebra; Lie superalgebra; Current algebra; Computer science; Artificial intelligence","score_opus":0.0862022799317641,"score_gpt":0.2957598763411922,"score_spread":0.20955759640942812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160166731","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9849091,0.000050407813,0.00972001,0.0018202611,0.0012777497,0.00035479883,0.00000621303,0.00004338234,0.0018180542],"genre_scores_gemma":[0.9822514,0.000033226268,0.015638094,0.00021749568,0.0008391334,0.000013257781,0.0000022474148,0.000056273733,0.0009488373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979547,0.000109649736,0.00065885106,0.00029434936,0.00055872113,0.00042370416],"domain_scores_gemma":[0.99762964,0.00011326364,0.0004506169,0.0005286901,0.000954577,0.00032322982],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00029384796,0.00040166505,0.00085751247,0.00010485703,0.00018825819,0.00052828947,0.0013264056,0.00014161291,0.00046240253],"category_scores_gemma":[0.00033040825,0.00032024016,0.00023588762,0.00031528578,0.000136303,0.0018446737,0.00042213374,0.00044537077,0.000015127766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024449494,0.0001744727,0.00025135718,0.000052098712,0.00015995243,0.000024986772,0.008732569,5.1316596e-7,0.004679811,0.9771942,0.0012941188,0.007191422],"study_design_scores_gemma":[0.000726176,0.0008716901,0.00038290373,0.00011495689,0.00008613422,0.000041960713,0.0019013094,0.0000019754343,0.10139043,0.8933145,0.0008088322,0.00035914933],"about_ca_topic_score_codex":0.000058715013,"about_ca_topic_score_gemma":0.00006124837,"teacher_disagreement_score":0.09671062,"about_ca_system_score_codex":0.00007300594,"about_ca_system_score_gemma":0.00036634423,"threshold_uncertainty_score":0.99992496},"labels":[],"label_agreement":null},{"id":"W2160324745","doi":"10.1016/j.jalgebra.2011.07.004","title":"A quantum analogue of Kostantʼs theorem for the general linear group","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Algebra over a field; Quantum group; Pure mathematics; Representation theory; Group (periodic table); General linear group; Reflection (computer programming); Symmetric group; Quantum mechanics","score_opus":0.0641852115098548,"score_gpt":0.30207766403212366,"score_spread":0.23789245252226887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160324745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9645448,0.0005551516,0.032792564,0.00018386687,0.0013564824,0.00024441947,0.000009455288,0.000010600239,0.0003026662],"genre_scores_gemma":[0.98902774,0.00006160374,0.010096112,0.000084550935,0.00066236046,0.0000036792323,5.464666e-7,0.000026491234,0.00003690507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987024,0.000059802693,0.0006476813,0.00009195338,0.00030190463,0.0001962274],"domain_scores_gemma":[0.9981275,0.0005083192,0.0007346883,0.00027002138,0.00028877056,0.000070659924],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007140035,0.00014110543,0.00037685232,0.000073208976,0.00008048302,0.000012700451,0.0004603843,0.00009055947,0.00010007037],"category_scores_gemma":[0.0002985399,0.00007814548,0.00035572163,0.000118523094,0.00009361384,0.00010515086,0.00004773305,0.0002043435,8.184327e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002940816,0.000086379245,0.000100667115,0.00003294098,0.00021515136,0.000005187848,0.001110098,0.0000033725853,0.00033717786,0.9961325,0.0010713497,0.0006111046],"study_design_scores_gemma":[0.00083575305,0.0006005226,0.0005552813,0.00004141634,0.00017431032,0.000058722315,0.0003176957,0.00060615235,0.002205105,0.9940768,0.00043229075,0.00009594467],"about_ca_topic_score_codex":0.000016707732,"about_ca_topic_score_gemma":0.000004318084,"teacher_disagreement_score":0.024482958,"about_ca_system_score_codex":0.000021157031,"about_ca_system_score_gemma":0.000065470245,"threshold_uncertainty_score":0.318668},"labels":[],"label_agreement":null},{"id":"W2160761586","doi":"10.1007/s10711-011-9688-7","title":"Equivariant functions and integrals of elliptic functions","year":2011,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Equivariant map; Mathematics; Modular form; Schwarzian derivative; Pure mathematics; Jacobi elliptic functions; Algebraic geometry; Algebra over a field; Elliptic function; Differential geometry; Algebraic number; Quarter period; Elliptic curve; Mathematical analysis","score_opus":0.10256153981700297,"score_gpt":0.2860886902783146,"score_spread":0.1835271504613116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160761586","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94708323,0.0007508842,0.035689753,0.00014135805,0.0020714651,0.00040161354,0.000076434975,0.00014208369,0.013643164],"genre_scores_gemma":[0.99686164,0.000042655487,0.0018096025,0.000025679345,0.00015049156,0.000020468993,0.000011998217,0.000021368362,0.0010560781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987977,0.000040729934,0.00040470582,0.00025864833,0.00025767914,0.00024051662],"domain_scores_gemma":[0.99868685,0.000327493,0.00018815746,0.0005476,0.0001056881,0.0001442213],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003789168,0.00015437297,0.00031420417,0.00035962116,0.00010783441,0.000015274416,0.00024042987,0.00012993051,0.0010767648],"category_scores_gemma":[0.00097138016,0.00012462611,0.000094471434,0.00073426956,0.00014625343,0.00010669478,0.00016174505,0.0001810915,0.000036413658],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000069069836,0.00019266058,0.0012134631,0.000075118114,0.00021558671,0.0000032354858,0.00053763663,3.3384137e-7,0.00019452545,0.9858061,0.0065712286,0.0051210057],"study_design_scores_gemma":[0.0008706077,0.0002703944,0.0030088325,0.000045068544,0.0002705208,0.000027928509,0.00068309985,0.000039848983,0.00082276535,0.9917553,0.001989227,0.00021637979],"about_ca_topic_score_codex":0.00013142242,"about_ca_topic_score_gemma":0.000007644248,"teacher_disagreement_score":0.049778413,"about_ca_system_score_codex":0.000019584952,"about_ca_system_score_gemma":0.000050381143,"threshold_uncertainty_score":0.9998364},"labels":[],"label_agreement":null},{"id":"W2162566816","doi":"10.1007/s11856-010-0111-0","title":"The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings","year":2010,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Pure mathematics; Noncommutative geometry; Algebraically closed field; Automorphism; Invertible matrix; Discrete mathematics","score_opus":0.03020160505529119,"score_gpt":0.3210531862887426,"score_spread":0.2908515812334514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162566816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9746116,0.00027854327,0.020954885,0.00056154444,0.0026739428,0.00041285082,0.00000759239,0.00003545135,0.00046363682],"genre_scores_gemma":[0.94516873,0.000050691287,0.053272583,0.000062976775,0.00068979716,0.000015441185,3.679738e-7,0.000064374464,0.0006750546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99788195,0.00003583674,0.0010038182,0.00014320311,0.0005452931,0.00038990506],"domain_scores_gemma":[0.9954533,0.0020958069,0.0011473921,0.0005306907,0.00062030763,0.00015250001],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014189058,0.0002471733,0.0004935645,0.000070682305,0.00032447293,0.00015435436,0.00093182427,0.0001584018,0.000018593328],"category_scores_gemma":[0.0023704285,0.00015214214,0.00036030714,0.00012916251,0.0001608803,0.00009637201,0.00010569039,0.00053171633,0.00000496436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006191554,0.0001749081,0.000044343913,0.00021318262,0.0001701722,0.000013901671,0.0009103379,0.000012131981,0.0032874835,0.9895237,0.00131198,0.0042759473],"study_design_scores_gemma":[0.00087717164,0.00019942963,0.000017055403,0.000098433346,0.00016495278,0.0004813663,0.00059300574,0.0009881896,0.0038822538,0.98763543,0.004866557,0.0001961674],"about_ca_topic_score_codex":0.0000025887991,"about_ca_topic_score_gemma":0.000013275651,"teacher_disagreement_score":0.032317698,"about_ca_system_score_codex":0.000036591686,"about_ca_system_score_gemma":0.00011038951,"threshold_uncertainty_score":0.62041765},"labels":[],"label_agreement":null},{"id":"W2162642412","doi":"10.1007/s00026-018-0386-0","title":"Structure Constants for Immaculate Functions","year":2018,"lang":"en","type":"preprint","venue":"Annals of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Counterexample; Conjecture; Mathematics; Structure constants; Combinatorics; Constant (computer programming); Pure mathematics; Computer science","score_opus":0.14499042224046604,"score_gpt":0.3904841412765162,"score_spread":0.24549371903605016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162642412","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9784968,0.0007683685,0.0029838674,0.00050512323,0.011503113,0.0015789202,0.00080724707,0.00017523486,0.003181326],"genre_scores_gemma":[0.99766755,0.00010912905,0.00049532356,0.00015515686,0.00046950544,0.00006431234,0.00009931719,0.000102280785,0.00083744177],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99737483,0.00007714238,0.0008523205,0.00060747954,0.00057981076,0.00050842046],"domain_scores_gemma":[0.99551827,0.0004895112,0.00094051653,0.0011487154,0.0017246744,0.00017833634],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033197567,0.0005410431,0.0010156425,0.00018740633,0.00019487285,0.00007238871,0.0007356677,0.00084697024,0.00018139459],"category_scores_gemma":[0.0007801302,0.00051167526,0.0005527818,0.00022624028,0.00021278276,0.000075198775,0.00059755374,0.0005510587,0.000006615631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013045021,0.00012656927,0.00008621051,0.000650489,0.00042450294,0.0000020344723,0.00023853924,0.000017066366,0.000030874642,0.9644505,0.03360758,0.00023522419],"study_design_scores_gemma":[0.0007115266,0.00033082682,0.00004987903,0.00020323294,0.00019526517,0.000005380976,0.0000624187,0.00011346382,0.00520452,0.98888946,0.0037500148,0.0004840367],"about_ca_topic_score_codex":0.000027621374,"about_ca_topic_score_gemma":0.0000027621172,"teacher_disagreement_score":0.029857567,"about_ca_system_score_codex":0.000044294848,"about_ca_system_score_gemma":0.00040990935,"threshold_uncertainty_score":0.9997335},"labels":[],"label_agreement":null},{"id":"W2163107419","doi":"10.4067/s0716-09172005000100007","title":"A note on the fundamental group of a one-point extension","year":2009,"lang":"en","type":"article","venue":"Proyecciones (Antofagasta)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Universidade de São Paulo; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Morphism; Mathematics; Extension (predicate logic); Quiver; Group (periodic table); Algebra over a field; Point (geometry); Pure mathematics; Fundamental group; Combinatorics; Computer science; Geometry; Physics","score_opus":0.04360731727062975,"score_gpt":0.29284727056951315,"score_spread":0.2492399532988834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2163107419","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910604,0.00009774987,0.0017126395,0.0037699237,0.00047522446,0.00080427644,0.000007775382,0.000107364904,0.0019646524],"genre_scores_gemma":[0.99740916,0.000018479048,0.0017247688,0.0005014937,0.00018769382,0.00002446656,0.0000034004531,0.000026493823,0.00010401165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998255,0.000100882375,0.00041899944,0.0003243266,0.00057726866,0.00032351486],"domain_scores_gemma":[0.9986461,0.00031367232,0.00025021183,0.00061416806,0.00009961484,0.00007625247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003890741,0.00024382574,0.00034879448,0.00007280054,0.00018797095,0.000037128237,0.00031989464,0.00010408182,0.0001461445],"category_scores_gemma":[0.00023659285,0.00015515248,0.00017226413,0.00019250777,0.00007469112,0.00009663583,0.00008836565,0.00024592553,0.000017158733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025321599,0.00038440403,0.000036866175,0.000035291396,0.000028818851,0.000004573894,0.0010051283,0.000005037857,0.007835102,0.9856093,0.0005872613,0.004215026],"study_design_scores_gemma":[0.0007452202,0.00074531935,0.0021205076,0.0001728765,0.000047677437,0.0000146901175,0.0002624957,0.00031584225,0.005986204,0.9890944,0.00028641915,0.00020838185],"about_ca_topic_score_codex":0.000012788634,"about_ca_topic_score_gemma":0.000004700441,"teacher_disagreement_score":0.006348799,"about_ca_system_score_codex":0.000062109895,"about_ca_system_score_gemma":0.000028930619,"threshold_uncertainty_score":0.6326934},"labels":[],"label_agreement":null},{"id":"W2164027106","doi":"10.1016/s1571-0661(04)80561-9","title":"Induction, Coinduction, and Adjoints","year":2003,"lang":"en","type":"article","venue":"Electronic Notes in Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Functor; Subcategory; Cartesian product; Adjoint functors; Coalgebra; Commutative property; Pure mathematics; Algebra over a field; Discrete mathematics","score_opus":0.01330354852734839,"score_gpt":0.27284158193229985,"score_spread":0.25953803340495146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164027106","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8397648,0.000090396694,0.15844056,0.0002533653,0.00065930624,0.00014695004,1.2751225e-7,0.00004583833,0.00059864775],"genre_scores_gemma":[0.9900011,0.000010587359,0.009788608,0.00008613887,0.00009373755,0.0000061870323,1.10760695e-7,0.000009685314,0.0000038539392],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983854,0.0001008956,0.00022118326,0.0004291364,0.00031866066,0.00054470805],"domain_scores_gemma":[0.99917936,0.00030543213,0.00004691713,0.0002898427,0.00007984948,0.00009861956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011143232,0.00013601923,0.00017091159,0.00011767289,0.00020439584,0.000077715114,0.000264139,0.000067467416,0.00007832817],"category_scores_gemma":[0.00074501795,0.00011361757,0.000025145111,0.0005972859,0.0012749651,0.00018165355,0.00009677532,0.00031205022,0.000003638489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004830242,0.00002727815,0.00014548686,0.000004104411,0.0000026743926,9.4186777e-7,0.00017176711,0.000008693305,0.000098701305,0.99617803,0.000005692525,0.0033517957],"study_design_scores_gemma":[0.0002635985,0.00012321906,0.00024343128,0.000012804181,0.000004392411,0.00007408019,0.0000086413165,0.0013803435,0.004724035,0.9929676,0.00005671426,0.00014114482],"about_ca_topic_score_codex":0.0000027523522,"about_ca_topic_score_gemma":0.0000024097437,"teacher_disagreement_score":0.1502363,"about_ca_system_score_codex":0.00012881082,"about_ca_system_score_gemma":0.00017830564,"threshold_uncertainty_score":0.46976623},"labels":[],"label_agreement":null},{"id":"W2164124713","doi":"10.2168/lmcs-8(3:6)2012","title":"Finite dimensional Hilbert spaces are complete for dagger compact closed categories","year":2012,"lang":"en","type":"article","venue":"Logical Methods in Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dagger; Axiom; Hilbert space; Mathematics; Pure mathematics; Hilbert manifold; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.1704927727894412,"score_gpt":0.41974565128595376,"score_spread":0.24925287849651256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164124713","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09937117,0.000108008026,0.8967074,0.00046476178,0.0027713678,0.00036156215,0.000005321933,0.00006600873,0.00014441443],"genre_scores_gemma":[0.47749323,7.6448725e-7,0.5218516,0.000344012,0.00027868073,0.000010498489,8.4048486e-7,0.0000078059575,0.000012562173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99775255,0.0002925913,0.00038475174,0.0004632484,0.0003981559,0.0007087241],"domain_scores_gemma":[0.9942923,0.0047475947,0.00019158288,0.00040637676,0.0001347385,0.00022738686],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023742642,0.00024058628,0.000491363,0.000121263954,0.00028452856,0.00013008477,0.0006710471,0.000108943044,0.000037700804],"category_scores_gemma":[0.0010274418,0.00016818377,0.00011519652,0.0005240716,0.0005132868,0.00031411258,0.00032715884,0.00022653512,0.0000033726294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051300398,0.00020259806,0.0029815568,0.000041460677,0.000013803005,0.0000022416164,0.0007105572,0.0006985408,0.0006487343,0.98633224,0.0003524315,0.00796451],"study_design_scores_gemma":[0.00043743255,0.00011222925,0.009296299,0.000031490406,0.00001025119,0.000009840331,0.000019132758,0.07441601,0.0007436969,0.9136799,0.0009743767,0.0002693419],"about_ca_topic_score_codex":0.000014548415,"about_ca_topic_score_gemma":0.0000020007344,"teacher_disagreement_score":0.37812206,"about_ca_system_score_codex":0.00007658167,"about_ca_system_score_gemma":0.000051853258,"threshold_uncertainty_score":0.6858335},"labels":[],"label_agreement":null},{"id":"W2165623440","doi":"10.4236/jmp.2010.11007","title":"Supertranslations to All Orders*","year":2010,"lang":"en","type":"article","venue":"Journal of Modern Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Supermultiplet; Formalism (music); Superfield; Component (thermodynamics); Coordinate system; Field (mathematics)","score_opus":0.04218921596904068,"score_gpt":0.31997197456471466,"score_spread":0.277782758595674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165623440","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8956914,0.000016714777,0.10129084,0.0010802211,0.0011011971,0.00008578371,0.0000020641583,0.000015058577,0.0007167131],"genre_scores_gemma":[0.9852672,0.0000022062923,0.013557309,0.00026051747,0.0008343827,0.0000011925573,3.6809192e-7,0.00002218214,0.000054592318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991763,0.000015093026,0.0002818317,0.00007895823,0.0003021288,0.00014568763],"domain_scores_gemma":[0.99922436,0.00010897547,0.00013038669,0.00020313433,0.00020884511,0.00012431318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012758766,0.00010314704,0.00020723883,0.00003477445,0.0000489271,0.000031696727,0.0002278715,0.00006413112,0.00003753563],"category_scores_gemma":[0.00007813097,0.00008254861,0.0001402748,0.00008314483,0.000016308863,0.00014930859,0.00002233952,0.00035365138,0.000005217837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042495398,0.00015692678,0.00017873873,0.000014495267,0.00011161487,0.0000057250013,0.0023337665,0.00039482888,0.015566282,0.96538824,0.003379953,0.012426918],"study_design_scores_gemma":[0.0003575784,0.000069686,0.000069332586,0.000010254951,0.000049251936,0.000020360434,0.000012926507,0.00060370145,0.0014475379,0.9948744,0.0023869954,0.00009793745],"about_ca_topic_score_codex":0.0000032786606,"about_ca_topic_score_gemma":0.000008972215,"teacher_disagreement_score":0.08957584,"about_ca_system_score_codex":0.000012591693,"about_ca_system_score_gemma":0.000069282745,"threshold_uncertainty_score":0.33662346},"labels":[],"label_agreement":null},{"id":"W2165809114","doi":"10.1016/j.jalgebra.2005.10.036","title":"A geometric realization of spin representations and Young diagrams from quiver varieties","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Realization (probability); Mathematics; Clifford algebra; Universal geometric algebra; Parametrization (atmospheric modeling); Geometric algebra; Young tableau; Algebra over a field; Action (physics); Pure mathematics; Spin representation; Spin (aerodynamics); Diagram; Type (biology); Lie algebra; Fundamental representation; Quantum mechanics; Physics","score_opus":0.023221123528479354,"score_gpt":0.2977014731984947,"score_spread":0.27448034967001533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165809114","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97729903,0.0006941695,0.02097685,0.0001887322,0.00040000974,0.000076022036,0.0000043090636,0.000008577965,0.00035229488],"genre_scores_gemma":[0.9948186,0.00022834631,0.0044332324,0.000027637856,0.00039015917,0.0000010626345,0.0000020086677,0.000012629769,0.00008631009],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889094,0.00004918533,0.0005261105,0.00009184381,0.00034195103,0.00009999719],"domain_scores_gemma":[0.9987354,0.00024065292,0.0005762926,0.0001538024,0.00022807087,0.00006575515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002051282,0.00009297383,0.0002698934,0.00019645957,0.000049348353,0.000036234593,0.00012656733,0.000075536074,0.00010957137],"category_scores_gemma":[0.00047774712,0.00007546389,0.0000890941,0.00028162796,0.000049203674,0.0002571896,0.000041941355,0.00012598169,8.482719e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008798934,0.00014826265,0.010495397,0.000039280207,0.00024480192,0.000007177861,0.0038097973,0.000074559684,0.00044648166,0.9746949,0.0040213675,0.0059299483],"study_design_scores_gemma":[0.0007153647,0.00011710982,0.0212774,0.000038597682,0.00012701693,0.000030471483,0.00036863727,0.00013276582,0.0014714022,0.9754423,0.00019091205,0.00008802376],"about_ca_topic_score_codex":0.00009896384,"about_ca_topic_score_gemma":0.000019262514,"teacher_disagreement_score":0.017519578,"about_ca_system_score_codex":0.000032487886,"about_ca_system_score_gemma":0.000040438896,"threshold_uncertainty_score":0.30773282},"labels":[],"label_agreement":null},{"id":"W2166012638","doi":"10.48550/arxiv.math/0512349","title":"Quadratic categories and Koszul resolutions","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Quadratic equation; Quadratic programming; Mathematics; Computer science; Algebra over a field; Mathematical optimization; Pure mathematics; Geometry","score_opus":0.08687137770022278,"score_gpt":0.3223231419935172,"score_spread":0.2354517642932944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166012638","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9929087,0.0012704862,0.00089372933,0.00087066763,0.0014266403,0.0003724804,0.000012816415,0.00017865056,0.0020658136],"genre_scores_gemma":[0.996005,0.00017436585,0.0012526184,0.00010715304,0.0008727827,0.000071191476,0.000016328844,0.000052950498,0.0014476257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984441,0.00007218341,0.00042968334,0.0004886242,0.00023887001,0.0003265526],"domain_scores_gemma":[0.9985557,0.00021265892,0.00022533946,0.0007872964,0.00009720646,0.000121756995],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016254096,0.00035202559,0.00048463,0.000076934106,0.00021674893,0.000079995545,0.00031981344,0.0004087596,0.00012261127],"category_scores_gemma":[0.00027733392,0.00031821194,0.00012877914,0.00008239524,0.00011701084,0.000076095865,0.000668394,0.0006635716,0.00003370763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017744933,0.00007394647,0.018230056,0.00031792358,0.00016839981,0.000009680086,0.0018943502,0.00003765243,0.000033579407,0.97554064,0.0033733998,0.00030265588],"study_design_scores_gemma":[0.00025986088,0.000028614413,0.011533359,0.000096170086,0.00014820763,0.000009964161,0.00015490499,0.00015280601,0.00010814293,0.9855958,0.001539681,0.00037246745],"about_ca_topic_score_codex":0.00014243647,"about_ca_topic_score_gemma":0.00009065445,"teacher_disagreement_score":0.0100552095,"about_ca_system_score_codex":0.000087571876,"about_ca_system_score_gemma":0.0001478749,"threshold_uncertainty_score":0.999927},"labels":[],"label_agreement":null},{"id":"W2166604732","doi":"10.1007/978-1-4612-1254-6_24","title":"Fun with Baby-Skyrmions","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Skyrmion; Limiting; Term (time); Nonlinear system; Sigma model; Stiffness; Mathematics; Sigma; Motion (physics); Kinetic energy; Energy (signal processing); Mathematical physics; Classical mechanics; Physics; Pure mathematics; Mathematical analysis; Quantum mechanics; Engineering","score_opus":0.0313121206197807,"score_gpt":0.2500542311673275,"score_spread":0.2187421105475468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166604732","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00020914664,0.00009877986,0.00026180258,0.00009411885,0.000273176,0.00026654193,0.000010079644,0.00018276346,0.9986036],"genre_scores_gemma":[0.015287702,0.00006997904,0.0017085294,0.00018317168,0.00043285164,0.000010265442,0.000012752205,0.00012840313,0.98216635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988388,0.00000575293,0.000262054,0.00033190506,0.00034434005,0.00021716289],"domain_scores_gemma":[0.9990095,0.000113369046,0.00011745321,0.0006005884,0.000055078774,0.00010404138],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000038111833,0.0003773893,0.0004486215,0.00006801318,0.000084601146,0.000035174697,0.0002322657,0.0003657868,0.018087879],"category_scores_gemma":[0.0000063570883,0.00025947942,0.00014859148,0.000016819527,0.00006656466,0.000038254166,0.00004760208,0.00034406973,0.0002367723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022528298,0.000007916456,4.863921e-7,0.000020057078,0.00010395145,0.000014630981,0.000034456294,7.904741e-7,1.18010476e-7,0.9901205,0.0085345805,0.0011400159],"study_design_scores_gemma":[0.00023684751,0.000079062,9.4215613e-7,0.00008724276,0.000115507966,0.000023469325,0.000004245689,0.0000024228577,0.000004970107,0.84497184,0.15415071,0.0003227264],"about_ca_topic_score_codex":0.000012462653,"about_ca_topic_score_gemma":0.000027699214,"teacher_disagreement_score":0.14561613,"about_ca_system_score_codex":0.000039887644,"about_ca_system_score_gemma":0.00008270937,"threshold_uncertainty_score":0.99998575},"labels":[],"label_agreement":null},{"id":"W2167729910","doi":"10.5802/jolt.337","title":"Some Constructions in the Theory of Locally Finite Simple Lie Algebras","year":2004,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Simple (philosophy); Mathematics; Root (linguistics); Lie algebra; Pure mathematics; Algebra over a field; Adjoint representation of a Lie algebra; Lie conformal algebra; Linguistics; Epistemology; Philosophy","score_opus":0.025868535509890458,"score_gpt":0.28001304020377743,"score_spread":0.254144504693887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2167729910","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98724777,0.0008324435,0.009340699,0.00037569477,0.00076196337,0.00016070399,0.0000057314987,0.000012085189,0.0012628918],"genre_scores_gemma":[0.9980058,0.00008003388,0.0010346234,0.0003242523,0.00050101586,0.0000025626207,4.3945306e-7,0.000020579428,0.000030695257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812907,0.00037838297,0.0007738938,0.0001001099,0.00040460064,0.0002139328],"domain_scores_gemma":[0.9967346,0.0021128429,0.00061905786,0.0003232046,0.00014774458,0.000062554376],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020752938,0.00016030073,0.0004025987,0.00016450706,0.00008469726,0.000026414129,0.00051807315,0.00011217119,0.00012304293],"category_scores_gemma":[0.0008974409,0.000100337515,0.00023474141,0.00020666687,0.0002691056,0.00019038179,0.0000540923,0.00047461552,0.0000040244167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002038057,0.00013383148,0.000057956546,0.000029194007,0.000089148634,0.000025765128,0.0021054838,0.00024267784,0.00012940554,0.9956533,0.000094909105,0.0012345471],"study_design_scores_gemma":[0.0012950326,0.00022608302,0.0002762053,0.000105428924,0.00008698796,0.00018384968,0.0029153842,0.000002544211,0.0008426296,0.9938528,0.00010690534,0.00010617829],"about_ca_topic_score_codex":0.0000036024546,"about_ca_topic_score_gemma":0.0000028165057,"teacher_disagreement_score":0.010758011,"about_ca_system_score_codex":0.000059360176,"about_ca_system_score_gemma":0.00024024402,"threshold_uncertainty_score":0.40916452},"labels":[],"label_agreement":null},{"id":"W2167736867","doi":"10.1112/s0010437x14008057","title":"Invariants of degree 3 and torsion in the Chow group of a versal flag","year":2015,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Indecomposable module; Torsion (gastropod); Modulo; Pure mathematics; Linear algebraic group; Codimension; Flag (linear algebra); Group (periodic table); Combinatorics; Algebraic number; Algebra over a field; Mathematical analysis","score_opus":0.11006998573888506,"score_gpt":0.3080704887078422,"score_spread":0.19800050296895716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2167736867","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9934694,0.00009336143,0.0019088712,0.000113223374,0.00010814143,0.00029889462,0.0000034000468,0.000012374099,0.003992345],"genre_scores_gemma":[0.9927025,0.0000035072412,0.00720802,0.00002368929,0.000030419682,0.00001028297,0.0000015672136,0.000010937552,0.0000090647445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901193,0.000096912525,0.00034966198,0.000114956536,0.00030480034,0.00012170755],"domain_scores_gemma":[0.99901086,0.0003958376,0.00016948422,0.00031529812,0.00006127083,0.000047247708],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004704683,0.00011163558,0.0003150509,0.000056372315,0.000025410882,0.000014351457,0.0002484975,0.000066926754,0.000015752177],"category_scores_gemma":[0.0001846509,0.000074881864,0.000045329998,0.0001313177,0.00008996522,0.00007126626,0.00009110683,0.000090484544,0.0000016758597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005170788,0.0001810735,0.00012229163,0.00022744465,0.000020068834,0.0000033447338,0.005618192,9.814239e-7,0.00077260524,0.99243945,0.00043300583,0.00012983094],"study_design_scores_gemma":[0.00090846414,0.0001765745,0.0005225291,0.00018450864,0.000040309962,0.000024270053,0.0007845996,0.0006507318,0.0011112909,0.995499,0.000014481702,0.0000832404],"about_ca_topic_score_codex":0.000019209137,"about_ca_topic_score_gemma":0.000005086147,"teacher_disagreement_score":0.0052991486,"about_ca_system_score_codex":0.00001888839,"about_ca_system_score_gemma":0.000024498697,"threshold_uncertainty_score":0.3053594},"labels":[],"label_agreement":null},{"id":"W2168685721","doi":"10.1090/s0002-9947-2014-06239-9","title":"Denominator vectors and compatibility degrees in cluster algebras of finite type","year":2014,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Agence Nationale de la Recherche; Deutsche Forschungsgemeinschaft; Ministerio de Ciencia e Innovación; Government of Canada; Berlin Mathematical School","keywords":"Mathematics; Compatibility (geochemistry); Mathematical proof; Cluster algebra; Cluster (spacecraft); Pure mathematics; Vector space; Algebra over a field; Discrete mathematics; Combinatorics; Computer science; Geometry","score_opus":0.02026856250947931,"score_gpt":0.2770101341197087,"score_spread":0.25674157161022937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2168685721","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9609009,0.000013112806,0.038505103,0.00015948225,0.000062303276,0.00020001849,0.0000040094314,0.000015367883,0.00013971001],"genre_scores_gemma":[0.9853679,0.000007211065,0.014525913,0.000041981166,0.000011073805,0.000006479702,1.8041585e-7,0.000014528382,0.00002473121],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989509,0.00012157903,0.00041266473,0.00015532866,0.00020786445,0.00015167192],"domain_scores_gemma":[0.9978972,0.0013497677,0.0002466017,0.00039883985,0.000059657214,0.00004791237],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003524334,0.00013140225,0.00047934437,0.000020494715,0.000058969763,0.000006593764,0.00022446316,0.000052314943,0.000054336546],"category_scores_gemma":[0.00025128442,0.000089261004,0.00021053551,0.0003053757,0.0006316062,0.00004096105,0.000028879736,0.00017104423,8.8115746e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039067902,0.0021061515,0.023378447,0.0030353956,0.0007024581,2.7227944e-7,0.02089168,0.0017141053,0.0024397012,0.9343351,0.00032518804,0.010680795],"study_design_scores_gemma":[0.00045871118,0.00015910222,0.011303898,0.0000845293,0.00010434693,0.0000021652684,0.00068319635,0.014147591,0.0013143639,0.9715914,0.00001110289,0.0001395546],"about_ca_topic_score_codex":0.00008286405,"about_ca_topic_score_gemma":0.000018860472,"teacher_disagreement_score":0.03725631,"about_ca_system_score_codex":0.000032959004,"about_ca_system_score_gemma":0.000026510892,"threshold_uncertainty_score":0.36399582},"labels":[],"label_agreement":null},{"id":"W2169075671","doi":"10.4310/hha.2014.v16.n2.a19","title":"Homotopy representations over the orbit category","year":2014,"lang":"en","type":"article","venue":"Homology Homotopy and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homotopy; Mathematics; Realization (probability); Orbit (dynamics); Pure mathematics; Unit (ring theory); Algebra over a field; Representation (politics); Homotopy group; Algebraic number; Mathematical analysis; Mathematics education; Engineering","score_opus":0.01830632491503837,"score_gpt":0.3006789693623567,"score_spread":0.28237264444731835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169075671","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81628054,0.0005953303,0.13358022,0.0043313783,0.0005642647,0.002389144,0.000024605963,0.0003957631,0.041838754],"genre_scores_gemma":[0.9961826,0.00004805215,0.0009862194,0.00047487824,0.00040116854,0.0008645242,0.000012018886,0.000023123694,0.0010073988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892074,0.00011536974,0.00026161672,0.0003356854,0.00012555446,0.00024104818],"domain_scores_gemma":[0.99832374,0.0006832173,0.00011907956,0.00073054835,0.00006116716,0.00008222719],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023080343,0.00015991532,0.00020579291,0.000049111342,0.000602978,0.000046382604,0.00030481108,0.00013849045,0.00015809905],"category_scores_gemma":[0.00009448389,0.00011563503,0.00007346976,0.00019653878,0.00032662653,0.0000624086,0.000115466675,0.0002309494,0.000024793551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000039380807,0.000046925925,0.00075959123,0.000012012952,0.000024993235,4.738355e-7,0.00019413474,0.0000025102497,0.00006319454,0.994191,0.0019100984,0.002791116],"study_design_scores_gemma":[0.00029842893,0.0000333065,0.005690827,0.0000030498613,0.000057403693,0.000042676,0.0001053822,0.00015041637,0.0001455849,0.950924,0.042413384,0.00013555496],"about_ca_topic_score_codex":0.000072551586,"about_ca_topic_score_gemma":0.00003110317,"teacher_disagreement_score":0.17990208,"about_ca_system_score_codex":0.000014594289,"about_ca_system_score_gemma":0.000028886352,"threshold_uncertainty_score":0.471546},"labels":[],"label_agreement":null},{"id":"W2169942086","doi":"10.1142/s0129167x12501169","title":"CATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASES","year":2012,"lang":"en","type":"preprint","venue":"International Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Division of Mathematical Sciences","keywords":"Categorification; Isomorphism (crystallography); Algebra homomorphism; Injective function; Homomorphism; Mathematics; Lambda; Combinatorics; Quantum group; Algebra over a field; Pure mathematics; Physics; Crystal structure; Crystallography; Quantum mechanics","score_opus":0.05564591128257518,"score_gpt":0.3304373834821195,"score_spread":0.2747914721995443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169942086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95299524,0.0009813308,0.041071158,0.000354363,0.003981947,0.0002480166,0.000047402806,0.000020911131,0.00029963764],"genre_scores_gemma":[0.97415984,0.00033384358,0.024278097,0.000028194703,0.0010673231,0.000007344214,0.000013772098,0.00005020553,0.00006136036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99687964,0.00009380632,0.0015527059,0.00017822447,0.0011064791,0.00018915258],"domain_scores_gemma":[0.99485385,0.00052637776,0.0029521876,0.00035777033,0.0011798218,0.00012998341],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007982824,0.00031976393,0.00079548557,0.00028044026,0.000034178716,0.00008300963,0.0008061454,0.0002902205,0.00014906209],"category_scores_gemma":[0.0007649689,0.0002628177,0.00032132555,0.000056363675,0.0001036795,0.00017195569,0.00040708503,0.00050698075,0.0000018114027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006161492,0.00045616442,0.00017320234,0.00052041275,0.0008078014,0.000009871335,0.002491507,0.00007555816,0.0012887802,0.99304533,0.0007062852,0.00036350166],"study_design_scores_gemma":[0.0007583586,0.000055958164,0.00013902147,0.00048913906,0.00032608575,0.00021748032,0.00040828928,0.0016337773,0.0026300799,0.99292153,0.00018508245,0.00023520645],"about_ca_topic_score_codex":0.000026963651,"about_ca_topic_score_gemma":0.0000017895317,"teacher_disagreement_score":0.021164624,"about_ca_system_score_codex":0.00011161857,"about_ca_system_score_gemma":0.0002012628,"threshold_uncertainty_score":0.9999824},"labels":[],"label_agreement":null},{"id":"W2170067940","doi":"10.1063/1.4905724","title":"Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Quantum affine algebra; Mathematics; Isomorphism (crystallography); Realization (probability); Affine transformation; Vertex (graph theory); Pure mathematics; Quantum algebra; Vertex operator algebra; Invariant (physics); Algebra over a field; Quantum; Type (biology); Affine representation; Affine hull; Algebra representation; Current algebra; Discrete mathematics; Affine Lie algebra; Cellular algebra; Affine space; Mathematical physics; Physics; Quantum mechanics; Graph; Jordan algebra","score_opus":0.08214346638328196,"score_gpt":0.34725503098270355,"score_spread":0.2651115645994216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2170067940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9385035,0.00011199359,0.05939928,0.0001403112,0.00046411983,0.00015870726,0.0000013197557,0.000016441116,0.0012042949],"genre_scores_gemma":[0.9905251,0.00002246028,0.009115145,0.0000277017,0.00024151143,0.0000010745423,0.000001324138,0.000023107312,0.00004256125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985285,0.00007508533,0.0006585883,0.000104758634,0.00050583814,0.00012722431],"domain_scores_gemma":[0.9979758,0.00058826496,0.00057790976,0.0002325506,0.00049761194,0.00012781493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038306808,0.00013444907,0.00047136875,0.000048978196,0.000024048344,0.000029489986,0.0001420824,0.00007047398,0.000027568793],"category_scores_gemma":[0.0015485778,0.00010120678,0.0000993796,0.0001905915,0.00006957431,0.00022481235,0.00006134286,0.00015749245,0.000003405027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095015224,0.00016217414,0.0000802182,0.000107534186,0.000071417904,0.000003334437,0.00082683295,0.000088503926,0.000334269,0.99635524,0.0011699646,0.00070548285],"study_design_scores_gemma":[0.00096318865,0.00028504786,0.00004055851,0.00012114526,0.00012647695,0.00004062112,0.00019269699,0.005472618,0.001831427,0.99080473,0.000022845652,0.00009864721],"about_ca_topic_score_codex":0.000003908804,"about_ca_topic_score_gemma":3.0242103e-7,"teacher_disagreement_score":0.052021585,"about_ca_system_score_codex":0.000032615284,"about_ca_system_score_gemma":0.00006651898,"threshold_uncertainty_score":0.41270927},"labels":[],"label_agreement":null},{"id":"W2171535148","doi":"10.1063/1.4820562","title":"Automorphic correction of the hyperbolic Kac-Moody algebra <i>E</i>10","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Langlands–Shahidi method; Automorphic L-function; Holomorphic function; Mathematics; Automorphic form; Algebra over a field; Pure mathematics; Modular form; SL2(R); Eisenstein series; Lie algebra; Product (mathematics); Geometry","score_opus":0.022460875614722053,"score_gpt":0.25784241079880776,"score_spread":0.23538153518408572,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2171535148","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98680276,0.000050106504,0.0066084117,0.00039743818,0.0015682518,0.00032668558,0.0000013175528,0.000025345207,0.0042197043],"genre_scores_gemma":[0.9969053,0.0000050573353,0.0019308381,0.0000788029,0.0005138001,0.0000058577766,1.6765694e-7,0.000032231368,0.00052790873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807954,0.00009933567,0.00082200905,0.0001032473,0.0006858023,0.00021005554],"domain_scores_gemma":[0.9975229,0.0006306818,0.00090601546,0.00040328052,0.00043539435,0.0001017076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030031533,0.00018892337,0.0005588269,0.000032814365,0.0000782349,0.00004038034,0.0004684071,0.00010859065,0.00054914964],"category_scores_gemma":[0.0006522962,0.00010978714,0.0003960009,0.00024048422,0.00013233375,0.00021761384,0.00010067258,0.00039216684,0.000047860427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002664819,0.0005640167,0.000054982534,0.0002284596,0.00018550703,0.0000016912064,0.00075672724,0.000072358765,0.0025756743,0.97446334,0.01765896,0.0034116071],"study_design_scores_gemma":[0.00044057873,0.00012381478,0.00020225391,0.00018829024,0.00013225476,0.00006055351,0.00010446194,0.0018039533,0.0057736193,0.9909362,0.000117892014,0.00011610927],"about_ca_topic_score_codex":0.0000040885952,"about_ca_topic_score_gemma":1.9815471e-7,"teacher_disagreement_score":0.01754107,"about_ca_system_score_codex":0.000046525136,"about_ca_system_score_gemma":0.000089934925,"threshold_uncertainty_score":0.60128033},"labels":[],"label_agreement":null},{"id":"W2177087411","doi":"10.1142/s0219199719500019","title":"Simple current extensions beyond semi-simplicity","year":2019,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":67,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Simple (philosophy); Indecomposable module; Vertex (graph theory); Pure mathematics; Dimension (graph theory); Categorical variable; Conformal map; Parameterized complexity; Algebra over a field; Discrete mathematics; Combinatorics; Mathematical analysis; Graph","score_opus":0.15178255556378328,"score_gpt":0.38474684287984107,"score_spread":0.23296428731605778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2177087411","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92594254,0.0036320665,0.0033231205,0.00092066574,0.0008553341,0.0021422023,0.00004116138,0.00034428932,0.06279861],"genre_scores_gemma":[0.989488,0.00016427942,0.009730396,0.00010871351,0.00004061123,0.000100175275,0.000041804047,0.000054253996,0.00027174404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979914,0.0001732461,0.00090312125,0.00030628312,0.00032451464,0.0003014784],"domain_scores_gemma":[0.9938023,0.001689033,0.00035454542,0.0038892264,0.0001609279,0.00010397485],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006046082,0.00028210328,0.0005639243,0.00016823738,0.00017952052,0.000058514543,0.0015594655,0.00014525489,0.00013256064],"category_scores_gemma":[0.00046147828,0.00026272962,0.00014921733,0.0004268481,0.00013087728,0.00023947653,0.0009225248,0.00058013387,0.000101328566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006423155,0.00052901893,0.0028921817,0.00016838705,0.000026793166,0.0000010037752,0.001461347,0.000009844293,0.00008285488,0.98984677,0.004379843,0.00059550913],"study_design_scores_gemma":[0.00065513665,0.000032037504,0.0003377618,0.00017246815,0.000017243121,0.0000062787235,0.00074778916,0.0060118227,0.0000618107,0.9819556,0.00970519,0.00029689804],"about_ca_topic_score_codex":0.000025124944,"about_ca_topic_score_gemma":0.000027356664,"teacher_disagreement_score":0.06354547,"about_ca_system_score_codex":0.000105603656,"about_ca_system_score_gemma":0.00017120685,"threshold_uncertainty_score":0.9999825},"labels":[],"label_agreement":null},{"id":"W2178435309","doi":"10.1007/s11005-017-0996-1","title":"Quantum hydrodynamics from large-n supersymmetric gauge theories","year":2017,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Instanton; Moduli space; Integrable system; Gauge theory; Abelian group; String theory; String (physics); Quantum","score_opus":0.02437102864264861,"score_gpt":0.2950065563770832,"score_spread":0.27063552773443456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2178435309","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9359926,0.000020301659,0.05914245,0.0010621764,0.0006605531,0.00027374152,0.000032788124,0.000089818444,0.002725563],"genre_scores_gemma":[0.9934224,0.0000055607425,0.0054237447,0.00045521735,0.0005516767,0.000026482418,0.000010103574,0.00006426412,0.000040573774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980088,0.0000784393,0.00046910474,0.00040650903,0.0004989036,0.00053827174],"domain_scores_gemma":[0.99722487,0.00096147787,0.00025404524,0.0014273443,0.00003494692,0.0000972994],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033125732,0.00033217203,0.0006142874,0.000060010927,0.00033461166,0.00023766089,0.0009434904,0.00015458967,0.00010413173],"category_scores_gemma":[0.0009644703,0.00028244357,0.00019862679,0.00014071412,0.00023336672,0.00030817158,0.00032302854,0.00044422413,0.00006720814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001655262,0.00018889432,0.0008527283,0.00007687805,0.00004589114,0.000019867808,0.0007376147,0.000006335033,0.00017608433,0.99726343,0.00038940832,0.00022631974],"study_design_scores_gemma":[0.0007829299,0.00001850178,0.00052969606,0.00009765858,0.00004759362,0.0000014929897,0.00012765644,0.009562275,0.00021080361,0.9882438,0.000041856973,0.0003356889],"about_ca_topic_score_codex":0.00005109888,"about_ca_topic_score_gemma":0.000007470852,"teacher_disagreement_score":0.057429772,"about_ca_system_score_codex":0.000084817504,"about_ca_system_score_gemma":0.000019568173,"threshold_uncertainty_score":0.99996275},"labels":[],"label_agreement":null},{"id":"W2181605084","doi":"10.1142/s0219498816501000","title":"Transfer of derived equivalences from subalgebras to endomorphism algebras","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; Bishop's University","funders":"","keywords":"Endomorphism; Mathematics; Idempotence; Pure mathematics; Class (philosophy); Construct (python library); Transfer (computing); Algebra over a field; Computer science","score_opus":0.06432885680836001,"score_gpt":0.3081526952175964,"score_spread":0.2438238384092364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2181605084","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9796122,0.0015427289,0.016976828,0.000987462,0.00022917078,0.00036670238,0.000023762148,0.000017178727,0.00024398805],"genre_scores_gemma":[0.9955608,0.0001377667,0.0036939173,0.00017092383,0.00034778813,0.0000269281,0.000002209354,0.00002254928,0.000037082194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99835044,0.00005851078,0.00075002725,0.00018864483,0.00046007743,0.00019231273],"domain_scores_gemma":[0.998213,0.00039416697,0.00028176195,0.00023917634,0.0004971231,0.0003747552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031405405,0.00018246591,0.0004885328,0.0001369645,0.00007267066,0.000033694472,0.0003833311,0.000108228916,0.00009438551],"category_scores_gemma":[0.00021212938,0.00014573983,0.00013112457,0.0002556733,0.00006577321,0.00025333383,0.00005920624,0.00017883675,0.0000073866945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010116925,0.00012854807,0.000120781966,0.000030692016,0.00014298964,0.000002811018,0.0016208168,0.000007630666,0.016023159,0.9786064,0.00092666876,0.0022883029],"study_design_scores_gemma":[0.0011016869,0.00028887458,0.0003991666,0.00005625279,0.00017275178,0.000033655666,0.0005999677,0.0000184318,0.03445215,0.9605161,0.0021844073,0.00017654638],"about_ca_topic_score_codex":0.000018463395,"about_ca_topic_score_gemma":0.000004793538,"teacher_disagreement_score":0.018428994,"about_ca_system_score_codex":0.000031767147,"about_ca_system_score_gemma":0.00015483676,"threshold_uncertainty_score":0.5943098},"labels":[],"label_agreement":null},{"id":"W2185493550","doi":"","title":"Spans of lenses","year":2014,"lang":"en","type":"article","venue":"EDBT/ICDT Workshops","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Lens (geology); Mathematics; Pullback; Pure mathematics; Functor; Variety (cybernetics); Through-the-lens metering; Physics; Optics","score_opus":0.028624489368228118,"score_gpt":0.28548987576378043,"score_spread":0.25686538639555234,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2185493550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96950185,0.00017100031,0.010057032,0.00038736506,0.0018916017,0.00020263958,0.0000028912991,0.00014377394,0.017641835],"genre_scores_gemma":[0.9953435,0.000011182515,0.0027578855,0.000094141105,0.0005177755,0.000008487999,0.0000018226631,0.000032193802,0.0012329968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998885,0.000060133898,0.00031378306,0.00021102466,0.00027532462,0.00025472877],"domain_scores_gemma":[0.99870414,0.0004930034,0.00015139868,0.0004994418,0.00007704635,0.000074991825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002205102,0.00016661493,0.000334673,0.000052426676,0.00006777911,0.00002039799,0.0002677369,0.00013767008,0.00028746578],"category_scores_gemma":[0.00041291336,0.0001406251,0.00012761597,0.00016455699,0.00007479098,0.00006506912,0.00008166649,0.0001655658,0.00002101247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022556766,0.000052339892,0.0003348157,0.000047480127,0.00003646426,9.67287e-7,0.00042288174,0.00001785082,0.0001789324,0.9840726,0.0063820127,0.008431063],"study_design_scores_gemma":[0.0004100969,0.00006915932,0.000579638,0.000072888266,0.000039271774,0.0000040378304,0.00010600411,0.00011394517,0.0027016613,0.9895971,0.006121323,0.00018487843],"about_ca_topic_score_codex":0.000015035919,"about_ca_topic_score_gemma":0.000008636345,"teacher_disagreement_score":0.025841653,"about_ca_system_score_codex":0.000018091301,"about_ca_system_score_gemma":0.000024684101,"threshold_uncertainty_score":0.57345253},"labels":[],"label_agreement":null},{"id":"W2186426507","doi":"","title":"A SURVEY OF HOPF ALGEBRAS OF SMALL DIMENSION","year":2009,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Mount Allison University","funders":"","keywords":"Hopf algebra; Dimension (graph theory); Mathematics; Prime (order theory); Pure mathematics; Filtration (mathematics); Combinatorics; Discrete mathematics; Algebra over a field","score_opus":0.05397280947598251,"score_gpt":0.29233598802863553,"score_spread":0.23836317855265302,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2186426507","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9959742,0.00005586697,0.0010724126,0.000034760764,0.00013143852,0.000104565115,0.000002336445,0.000023248002,0.0026012107],"genre_scores_gemma":[0.99709255,0.000004270308,0.0026578095,0.000042062547,0.0000145527,5.552675e-7,0.0000020881996,0.000007085196,0.00017905064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992695,0.000052466894,0.00029882314,0.00010957349,0.00015956353,0.00011011141],"domain_scores_gemma":[0.9991761,0.00022555812,0.00014070333,0.00027527564,0.00014723037,0.000035169276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024056595,0.000088728564,0.00027219442,0.000037508893,0.00001722885,0.0000031633622,0.00012741782,0.00007045609,0.00009993633],"category_scores_gemma":[0.00023427812,0.00006669539,0.000060510363,0.00013208925,0.000023325545,0.000023225608,0.000030009947,0.000049509745,0.0000013797362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040350536,0.000102634185,0.001287161,0.000023288418,0.000019913336,5.182532e-7,0.00015564982,0.0000030883484,0.0011973379,0.99482787,0.0005732929,0.0017689051],"study_design_scores_gemma":[0.00036407035,0.00019628396,0.05286839,0.000020715923,0.00001536322,9.2923983e-7,0.000015605729,0.00013599584,0.012073104,0.9342211,0.0000064433457,0.000081991886],"about_ca_topic_score_codex":0.00027071,"about_ca_topic_score_gemma":0.000054498098,"teacher_disagreement_score":0.06060675,"about_ca_system_score_codex":0.0000071416243,"about_ca_system_score_gemma":0.000026443193,"threshold_uncertainty_score":0.27197593},"labels":[],"label_agreement":null},{"id":"W2189316855","doi":"10.4171/jca/32","title":"Highest weights for truncated shifted Yangians and product monomial crystals","year":2019,"lang":"en","type":"preprint","venue":"Journal of Combinatorial Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Toronto","funders":"","keywords":"Monomial; Conjecture; Mathematics; Product (mathematics); Pure mathematics; Context (archaeology); Symplectic geometry; Duality (order theory); Combinatorics; Affine transformation; Geometry","score_opus":0.02765656939555007,"score_gpt":0.28314621142291385,"score_spread":0.2554896420273638,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2189316855","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94919825,0.0012246822,0.00095976493,0.0011668836,0.04503339,0.002039801,0.000065556174,0.00008494353,0.00022673888],"genre_scores_gemma":[0.9884816,0.00012683908,0.0035844957,0.00004990698,0.0073230863,0.000046375975,0.000023517652,0.00016844859,0.00019576823],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956489,0.00023980039,0.001927169,0.000700836,0.00087650906,0.0006067566],"domain_scores_gemma":[0.9939285,0.001038224,0.0027033282,0.0008624109,0.0011262384,0.0003413155],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011694211,0.00081332354,0.002157085,0.0004133998,0.00018325109,0.0003398588,0.0010181274,0.0008624516,0.000049937145],"category_scores_gemma":[0.0010425411,0.00067452027,0.0008119778,0.0001846243,0.00013587289,0.0002913206,0.00057104323,0.0014208681,0.0000035043638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001655911,0.00040804083,0.00018930339,0.0010772325,0.001123656,0.000024814417,0.0007788355,0.000031359006,0.00023600161,0.9811158,0.012782955,0.00057609123],"study_design_scores_gemma":[0.0056266896,0.00080575404,0.00030623097,0.0004621631,0.000723217,0.000062289786,0.000041157877,0.00010938547,0.0016871184,0.983372,0.0060871835,0.0007168523],"about_ca_topic_score_codex":0.00002413695,"about_ca_topic_score_gemma":0.0000016520117,"teacher_disagreement_score":0.039283324,"about_ca_system_score_codex":0.00029546395,"about_ca_system_score_gemma":0.00085913815,"threshold_uncertainty_score":0.9995706},"labels":[],"label_agreement":null},{"id":"W2197147358","doi":"10.1016/j.jalgebra.2015.02.007","title":"A family of representations of the Lie superalgebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover><mml:mrow><mml:mo stretchy=\"true\">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"true\">)</mml:mo></mml:mrow></mml:math>","year":2015,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Lie superalgebra; Irreducibility; Tensor product; Algebra over a field; Pure mathematics; Affine Lie algebra","score_opus":0.02435655309831398,"score_gpt":0.2546574187441888,"score_spread":0.23030086564587482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2197147358","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40204605,0.0042392183,0.0013166869,0.00202419,0.010593626,0.00017312652,0.0015471076,0.0006669285,0.57739305],"genre_scores_gemma":[0.9615313,0.00555572,0.005726169,0.004751484,0.009449495,0.0038920525,0.0035261975,0.0046550184,0.00091257214],"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.95781034,0.0029442138,0.009685636,0.0068573067,0.012787062,0.009915428],"domain_scores_gemma":[0.96319515,0.007248447,0.01276921,0.009164829,0.0015370598,0.0060852943],"candidate_categories":["metaresearch","metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.008701092,0.004164968,0.0017574918,0.003376982,0.005776106,0.007304519,0.012146167,0.011198141,0.8974973],"category_scores_gemma":[0.009654284,0.008610181,0.0101229595,0.0064426097,0.007869989,0.007508544,0.009887761,0.008856771,0.004331496],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0076428694,0.0012950889,0.00007208136,0.0035341566,0.008651051,0.0046162023,0.005688875,0.0044058263,0.004938951,0.37954387,0.5766006,0.003010423],"study_design_scores_gemma":[0.01070474,0.006960859,0.00035007796,0.0055049877,0.009531918,0.008950596,0.010809299,0.009603589,0.9206302,0.0044844043,0.0050587696,0.007410539],"about_ca_topic_score_codex":0.010384524,"about_ca_topic_score_gemma":0.0063428227,"teacher_disagreement_score":0.91569126,"about_ca_system_score_codex":0.00012144354,"about_ca_system_score_gemma":0.010291818,"threshold_uncertainty_score":0.99979043},"labels":[],"label_agreement":null},{"id":"W2197599661","doi":"10.1007/s00209-016-1649-2","title":"Twisted Yangians for symmetric pairs of types B, C, D","year":2016,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council","keywords":"Yangian; Quotient; Symplectic geometry; Class (philosophy); Reflection (computer programming); Symmetry (geometry); Lie algebra","score_opus":0.028884963192835098,"score_gpt":0.27408992018929396,"score_spread":0.24520495699645886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2197599661","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28266102,0.054393947,0.51703197,0.0073429295,0.027393462,0.016269129,0.0035224224,0.0017317316,0.0896534],"genre_scores_gemma":[0.9768106,0.00028548637,0.01690156,0.00006358114,0.0009034437,0.00014614944,0.000012897121,0.00021387296,0.0046624388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99635136,0.0001437429,0.0013505527,0.00065729365,0.00068930443,0.0008077517],"domain_scores_gemma":[0.9942808,0.0028331205,0.00096338947,0.0012088956,0.00047712342,0.00023666446],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00082866556,0.0006376012,0.0013094918,0.00036577875,0.00016214406,0.000063621585,0.0007853145,0.0005668085,0.0009205068],"category_scores_gemma":[0.0024364775,0.00042215578,0.0006610962,0.00063444383,0.0002263088,0.0002000618,0.00023605257,0.00019931873,0.0003517868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000115483504,0.00031357247,0.00007267393,0.0018574815,0.0008047993,0.000003876519,0.00092062994,0.0000013226307,0.0014213421,0.976689,0.010314844,0.007485022],"study_design_scores_gemma":[0.0050543933,0.00083837745,0.00013245898,0.0022849466,0.0017165338,0.000016968595,0.00025978833,0.0004252239,0.02532566,0.8625709,0.100187756,0.0011870274],"about_ca_topic_score_codex":0.000024776113,"about_ca_topic_score_gemma":0.000004574287,"teacher_disagreement_score":0.69414955,"about_ca_system_score_codex":0.00002180086,"about_ca_system_score_gemma":0.00018872855,"threshold_uncertainty_score":0.9999928},"labels":[],"label_agreement":null},{"id":"W2199733147","doi":"10.3842/sigma.2016.062","title":"Skew-Zigzag Algebras","year":2016,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"University of Ottawa","keywords":"Zigzag; Skew; Mathematics; Graph; Pure mathematics; Cohomology; Moduli; Algebra over a field; Discrete mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.03579222388286489,"score_gpt":0.37590303239267076,"score_spread":0.34011080850980585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2199733147","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30634576,0.00075370667,0.68835765,0.0014856549,0.00018814538,0.00061177165,0.00003840933,0.00014408163,0.002074828],"genre_scores_gemma":[0.7858976,0.0002155542,0.21264412,0.00015113421,0.00022571962,0.00023733792,0.0000024581652,0.000026414029,0.000599674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832857,0.00024032545,0.00040591854,0.00057362503,0.00016223126,0.00028936262],"domain_scores_gemma":[0.99630886,0.0026211306,0.0001222416,0.0006194388,0.00011565925,0.00021266204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012978044,0.00024311568,0.0003904838,0.00014523794,0.00027035156,0.000054487587,0.00020392172,0.00020263216,0.00022117839],"category_scores_gemma":[0.0011162825,0.0001503611,0.00010342866,0.0004855089,0.00036075932,0.00012549694,0.00015901373,0.00021021288,0.000008265706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007317672,0.00004677605,0.0012444374,0.0000453665,0.000028077138,9.566587e-8,0.000037495156,4.5864748e-9,0.0004884599,0.7179441,0.00008017808,0.2800777],"study_design_scores_gemma":[0.0003153333,0.000052831863,0.0020259118,0.000024918643,0.0000520718,0.000011938756,0.00013896177,0.00000767927,0.0022414369,0.97894907,0.015957471,0.00022238764],"about_ca_topic_score_codex":0.000036286347,"about_ca_topic_score_gemma":0.000004270526,"teacher_disagreement_score":0.47955182,"about_ca_system_score_codex":0.000037202233,"about_ca_system_score_gemma":0.000028292929,"threshold_uncertainty_score":0.61315477},"labels":[],"label_agreement":null},{"id":"W2200008854","doi":"10.2140/pjm.2016.285.93","title":"Affine weakly regular tensor triangulated categories","year":2016,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Agence Nationale de la Recherche","keywords":"Affine transformation; Tensor (intrinsic definition); Triangulated category; Spectrum (functional analysis); Balmer series; Noetherian ring; Ring (chemistry); Noetherian","score_opus":0.02783655445301316,"score_gpt":0.26717773567647846,"score_spread":0.2393411812234653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2200008854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9166366,0.0009171928,0.069171794,0.0030632482,0.0030649025,0.00054115424,0.000016302427,0.00015662132,0.006432173],"genre_scores_gemma":[0.974553,0.00007864721,0.021652034,0.000011926861,0.000523729,0.0000031475251,3.505421e-7,0.000058192283,0.0031190107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976869,0.00008055578,0.0011136533,0.00015010113,0.0006402185,0.00032852977],"domain_scores_gemma":[0.9970202,0.00082177983,0.0010376591,0.0004771858,0.0004792204,0.00016394576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088971655,0.00026575007,0.00070942723,0.00016467964,0.000088164525,0.00005287094,0.00041685227,0.00016098544,0.00040725118],"category_scores_gemma":[0.001495538,0.00014485705,0.00028747178,0.00020372764,0.00011387849,0.00019710629,0.000054884706,0.00019108766,0.000026705484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001247765,0.00037227286,0.00010724691,0.00020867525,0.00039144285,0.00007681736,0.003088624,0.000005194953,0.0052341446,0.9756461,0.010157521,0.004587224],"study_design_scores_gemma":[0.0014232823,0.00019706023,0.000023502938,0.00027760275,0.00015702838,0.00041312946,0.0017451443,0.000050418468,0.0040428815,0.9894141,0.0020305202,0.0002253283],"about_ca_topic_score_codex":9.492278e-7,"about_ca_topic_score_gemma":5.773013e-7,"teacher_disagreement_score":0.057916354,"about_ca_system_score_codex":0.0000902917,"about_ca_system_score_gemma":0.0001015478,"threshold_uncertainty_score":0.5907099},"labels":[],"label_agreement":null},{"id":"W2202687086","doi":"10.1016/j.aim.2015.11.038","title":"On conjugacy of Cartan subalgebras in extended affine Lie algebras","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; University of Alberta","funders":"Consejo Nacional de Investigaciones Científicas y Técnicas; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Cartan matrix; Cartan subalgebra; Mathematics; Cartan decomposition; Kac–Moody algebra; Killing form; Pure mathematics; Affine Lie algebra; Real form; Lie algebra; Lie conformal algebra; Conjugacy class; Generalized Kac–Moody algebra; Algebra over a field; Adjoint representation of a Lie algebra; Current algebra","score_opus":0.03490158618392568,"score_gpt":0.33998529236276953,"score_spread":0.30508370617884384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2202687086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98008233,0.0030576696,0.0005981039,0.000078187004,0.001778573,0.0013821743,0.00004177615,0.000110271816,0.012870891],"genre_scores_gemma":[0.9815926,0.0005619459,0.017130077,0.00004009114,0.00016751932,0.0001421398,0.00002143367,0.00012435004,0.00021985812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99600476,0.00014953747,0.0017194569,0.00069046684,0.0008832471,0.0005525424],"domain_scores_gemma":[0.9953104,0.0017968529,0.0010844216,0.0014540029,0.00022303178,0.0001312589],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000914621,0.00069891394,0.0017715143,0.0004407183,0.000029510751,0.000039745646,0.0010009196,0.00057702116,0.00017957695],"category_scores_gemma":[0.0026195627,0.0006366072,0.00022564887,0.00039743935,0.00018383196,0.00018076519,0.0006459387,0.0011046911,0.000012519175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000073676056,0.0006668549,0.00016842401,0.0019224201,0.000041048363,0.000031408566,0.0026428015,0.00097007095,0.00001175664,0.9921314,0.00019231859,0.0011478346],"study_design_scores_gemma":[0.0013360832,0.0001462988,0.000087926695,0.0017923827,0.000057506837,0.0000063739462,0.00057438377,0.0008969902,0.00042526706,0.9940052,0.00010671688,0.0005648568],"about_ca_topic_score_codex":0.00002987964,"about_ca_topic_score_gemma":0.00018203018,"teacher_disagreement_score":0.016531974,"about_ca_system_score_codex":0.00034612927,"about_ca_system_score_gemma":0.0002801188,"threshold_uncertainty_score":0.9996085},"labels":[],"label_agreement":null},{"id":"W2203274472","doi":"10.1016/j.geomphys.2016.03.009","title":"Representations of the affine-Virasoro algebra of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>","year":2016,"lang":"lv","type":"article","venue":"Journal of Geometry and Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Affine transformation; Scroll; Algebra over a field; Pure mathematics; Theology","score_opus":0.018435844644345088,"score_gpt":0.2542663691640549,"score_spread":0.2358305245197098,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2203274472","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8710826,0.0010686589,0.0011174951,0.0005596583,0.0031263942,0.0000328386,0.0002248799,0.000036700363,0.1227508],"genre_scores_gemma":[0.993736,0.0013227297,0.0012551099,0.00044054212,0.0024604127,0.000070941525,0.0000979967,0.00029685095,0.00031941343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99437094,0.000297252,0.0016757571,0.0007138392,0.0018995459,0.0010426728],"domain_scores_gemma":[0.9927039,0.0019772956,0.0029398764,0.0015473996,0.00030497872,0.0005265445],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012215598,0.0005233061,0.0003778807,0.0002548131,0.0007350691,0.00042434887,0.0014032412,0.0010965202,0.121820815],"category_scores_gemma":[0.001731634,0.0007161195,0.0014501225,0.0010860676,0.0009978908,0.0010160704,0.0010799951,0.001107107,0.00017820607],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011916102,0.0003679966,0.00005190482,0.00097087165,0.0018061714,0.0001924138,0.0016300976,0.0007390963,0.0040722066,0.87421066,0.11232541,0.0024415902],"study_design_scores_gemma":[0.0023102507,0.0017231674,0.00037287208,0.0015986345,0.0019328687,0.00065777625,0.0012797448,0.012104984,0.967953,0.007995747,0.0012186841,0.0008522407],"about_ca_topic_score_codex":0.0003210565,"about_ca_topic_score_gemma":0.00011778707,"teacher_disagreement_score":0.96388084,"about_ca_system_score_codex":0.000011246896,"about_ca_system_score_gemma":0.0010314404,"threshold_uncertainty_score":0.999529},"labels":[],"label_agreement":null},{"id":"W2203571476","doi":"10.48550/arxiv.1512.08362","title":"Path algebras of quivers and representations of locally finite Lie algebras","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council","keywords":"Annihilator; Noncommutative geometry; Mathematics; Quiver; Lie algebra; Diagonal; Simple (philosophy); Pure mathematics; Space (punctuation); Path (computing); Representation theory; Combinatorics; Algebra over a field; Geometry; Computer science","score_opus":0.0941338434893212,"score_gpt":0.23511072922252316,"score_spread":0.14097688573320194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2203571476","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98232055,0.00013305794,0.013690222,0.000024686195,0.00044616737,0.00039574597,0.000074070755,0.00005878615,0.0028567095],"genre_scores_gemma":[0.99833727,0.00017995184,0.00082377536,0.00001437679,0.00005627542,9.996332e-7,0.000020481553,0.000033457345,0.00053340546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983819,0.00013806419,0.00042742834,0.00063463976,0.00018109723,0.00023684558],"domain_scores_gemma":[0.9972963,0.00045187533,0.0006916965,0.00091876334,0.0004596574,0.00018171218],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002486937,0.0003179092,0.0006692909,0.00022059266,0.000063881314,0.000018577339,0.0005545128,0.00038385464,0.00007392098],"category_scores_gemma":[0.00034142737,0.00034755966,0.00022416082,0.00031006653,0.00034245197,0.00012400375,0.0009858413,0.0003874914,0.000003547362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012452065,0.00010916327,0.0029192409,0.00045917692,0.00029463271,0.0000398622,0.00086521346,0.0059983013,0.000027034966,0.9884633,0.0006301455,0.000069447844],"study_design_scores_gemma":[0.0009475983,0.00010639685,0.00058496353,0.00020191139,0.0003629909,0.0000021282976,0.00068996975,0.005413758,0.000238942,0.99111897,0.000027902477,0.00030445057],"about_ca_topic_score_codex":0.00032277592,"about_ca_topic_score_gemma":0.00003302556,"teacher_disagreement_score":0.016016724,"about_ca_system_score_codex":0.00008721453,"about_ca_system_score_gemma":0.00032542233,"threshold_uncertainty_score":0.99989766},"labels":[],"label_agreement":null},{"id":"W2203575115","doi":"10.1016/j.aim.2016.10.007","title":"A Hopf algebra of subword complexes","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"York University; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Hopf algebra; Mathematics; Representation theory of Hopf algebras; Algebra over a field; Pure mathematics; Division algebra; Quasitriangular Hopf algebra; Filtered algebra","score_opus":0.02386716086904989,"score_gpt":0.3109528620800478,"score_spread":0.2870857012109979,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2203575115","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96106243,0.0009828229,0.029700227,0.00019598797,0.00050924625,0.00040327237,0.000010352714,0.00009827474,0.007037389],"genre_scores_gemma":[0.96358424,0.00028789818,0.0358102,0.000016314223,0.0000593148,0.000021618385,4.4192734e-7,0.000030705167,0.0001892682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861884,0.000034240926,0.00058526226,0.00019268834,0.0003050838,0.00026385442],"domain_scores_gemma":[0.9980244,0.0011053893,0.00029432084,0.00046164676,0.000067495974,0.00004675988],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023359025,0.00018265704,0.00045705514,0.00009077765,0.000029069119,0.000010166702,0.00034110586,0.000077008655,0.00019900705],"category_scores_gemma":[0.00051911955,0.00011548365,0.00008942254,0.00019747371,0.00014587658,0.000313896,0.0000910687,0.000075706,0.000010826079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012293336,0.00011188223,0.0004192481,0.00023678628,0.000012473305,0.000002310697,0.00050718046,0.0000030716399,0.0004695138,0.9921488,0.000054894743,0.0060215024],"study_design_scores_gemma":[0.000627825,0.000047626898,0.00011542622,0.0003378534,0.000014568803,0.000006069247,0.00022547723,0.000046841426,0.0033435465,0.99441206,0.0006569778,0.00016569789],"about_ca_topic_score_codex":0.000002668768,"about_ca_topic_score_gemma":0.000016841966,"teacher_disagreement_score":0.006848121,"about_ca_system_score_codex":0.000039411352,"about_ca_system_score_gemma":0.000026263,"threshold_uncertainty_score":0.47092864},"labels":[],"label_agreement":null},{"id":"W220902350","doi":"10.2140/involve.2018.11.449","title":"Nested Frobenius extensions of graded superrings","year":2017,"lang":"en","type":"article","venue":"Involve a Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Context (archaeology); Nesting (process); Field (mathematics); Center (category theory); Extension (predicate logic); Pure mathematics; Computer science; Engineering; Geography; Programming language","score_opus":0.10119141395444002,"score_gpt":0.34518597496607695,"score_spread":0.2439945610116369,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W220902350","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9947289,0.00027052232,0.003399662,0.00017207251,0.00076351216,0.00014488764,0.0000032296532,0.0000147507235,0.0005024133],"genre_scores_gemma":[0.9562184,0.000038656628,0.043361995,0.000029012137,0.00021324214,0.0000016683795,2.653864e-7,0.000036406793,0.000100343525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802923,0.00003633536,0.0010340392,0.00011014357,0.00057143794,0.00021880599],"domain_scores_gemma":[0.9958281,0.0005463537,0.002035218,0.00082235096,0.0006287633,0.00013920183],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005585325,0.00020305575,0.00074017455,0.00011805945,0.000211595,0.000081189275,0.00088889815,0.00013793621,0.00006829766],"category_scores_gemma":[0.0027649095,0.0001509716,0.00030681668,0.00006635642,0.0001683065,0.00026635505,0.00016874411,0.00029446857,0.0000028178595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004381331,0.00048404117,0.0005280154,0.00041110997,0.00028719468,0.000053037696,0.0047164643,0.000015703381,0.004922057,0.98678327,0.0014667907,0.0002885016],"study_design_scores_gemma":[0.0009460419,0.00018243468,0.0003149771,0.0005642,0.00020755042,0.00019767726,0.0011093774,0.00020520967,0.0044429507,0.9915735,0.000102078055,0.00015401535],"about_ca_topic_score_codex":0.000015350211,"about_ca_topic_score_gemma":0.000004821564,"teacher_disagreement_score":0.039962333,"about_ca_system_score_codex":0.000030233992,"about_ca_system_score_gemma":0.00011558408,"threshold_uncertainty_score":0.6156443},"labels":[],"label_agreement":null},{"id":"W2215857933","doi":"10.48550/arxiv.1509.05633","title":"Wigner-Eckart theorem and Jordan-Schwinger representation for infinite-dimensional representations of the Lorentz group","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Lorentz group; Lorentz transformation; Representation theory of the Lorentz group; Group (periodic table); Pure mathematics; Representation theory; Representation (politics); Mathematics; Tensor (intrinsic definition); Representation theorem; Lie group; Algebra over a field; Fundamental representation; Mathematical physics; Physics; Lie algebra; Quantum mechanics","score_opus":0.11904632271789724,"score_gpt":0.2531904002186575,"score_spread":0.1341440775007603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2215857933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98890585,0.000054716224,0.007962432,0.000100185585,0.0010351466,0.00087368046,0.00005641243,0.00004686353,0.00096473086],"genre_scores_gemma":[0.9981323,0.000017591125,0.0008967427,0.00003079696,0.00014598909,0.0000064165743,0.000036638827,0.000031846546,0.0007016905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985199,0.00017450286,0.00032346376,0.000609407,0.00017066399,0.00020204669],"domain_scores_gemma":[0.9975024,0.00063884124,0.0004992416,0.0008855894,0.0003759234,0.00009801087],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003203352,0.00025502627,0.0003820323,0.0001146355,0.00017404668,0.000035567926,0.0004471155,0.00025513532,0.000027639117],"category_scores_gemma":[0.0004335143,0.00021487386,0.00025938815,0.00025435316,0.00024977265,0.0001270293,0.00088457955,0.0003092479,0.000001197213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014915662,0.00006583943,0.0018234644,0.00010916689,0.0001518802,0.0000033540186,0.00049074565,0.0074165487,0.000050505303,0.98822194,0.001466402,0.00005097286],"study_design_scores_gemma":[0.00096215954,0.00004582076,0.00082070817,0.00009281143,0.00029279874,0.0000027613453,0.000333291,0.010200979,0.00025621825,0.9866943,0.00007937879,0.00021877703],"about_ca_topic_score_codex":0.00011720647,"about_ca_topic_score_gemma":0.000033358614,"teacher_disagreement_score":0.009226455,"about_ca_system_score_codex":0.00008142793,"about_ca_system_score_gemma":0.0001334494,"threshold_uncertainty_score":0.8762301},"labels":[],"label_agreement":null},{"id":"W2229891668","doi":"10.1090/proc/13146","title":"Weyl modules for Lie superalgebras","year":2017,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Tensor product; Unital; Commutative property; Superalgebra; Associative property; Lie superalgebra; Tensor (intrinsic definition); Product (mathematics)","score_opus":0.02838559011524024,"score_gpt":0.2963742623234643,"score_spread":0.2679886722082241,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2229891668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9899416,0.00010276247,0.0009214159,0.0044589406,0.0005157431,0.0014033379,0.00005544003,0.00007449996,0.0025262414],"genre_scores_gemma":[0.961202,0.000097586126,0.036147498,0.00031225465,0.0006588328,0.00012845774,7.374522e-7,0.00012598414,0.0013266458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99675417,0.000013287418,0.00094635366,0.0006210876,0.000844591,0.0008205131],"domain_scores_gemma":[0.9950882,0.00060691015,0.002474896,0.0009954409,0.0006089431,0.00022557005],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0007927689,0.0005865261,0.0014659994,0.000023035462,0.0014535217,0.00050624233,0.0028991993,0.00023539505,0.00007872108],"category_scores_gemma":[0.0025093562,0.00039992284,0.0018098903,0.00017447486,0.0025937061,0.00034046586,0.0011913874,0.00047786272,0.000014437543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006137256,0.00029448263,0.0007170441,0.0020839483,0.00049097434,8.294289e-8,0.0024846282,3.4299782e-7,0.0018999936,0.98136747,0.009710978,0.00088866276],"study_design_scores_gemma":[0.0008224167,0.0002461464,0.0012538028,0.00050546444,0.00056292367,0.000007125199,0.002366637,0.0019244885,0.00655237,0.9848572,0.00042690753,0.00047451016],"about_ca_topic_score_codex":0.000046550562,"about_ca_topic_score_gemma":6.9078334e-7,"teacher_disagreement_score":0.035226084,"about_ca_system_score_codex":0.00013217614,"about_ca_system_score_gemma":0.00008765016,"threshold_uncertainty_score":0.99984646},"labels":[],"label_agreement":null},{"id":"W2232518304","doi":"","title":"Representations of toroidal Lie algebras and Lie algebras of vector fields","year":2004,"lang":"pt","type":"article","venue":"Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Adjoint representation of a Lie algebra; Representation of a Lie group; Lie algebra; Lie bracket of vector fields; Adjoint representation; Mathematics; Killing form; Fundamental representation; Algebra over a field; Pure mathematics; Lie conformal algebra; Physics; Weight","score_opus":0.01976170625326715,"score_gpt":0.28183125196408315,"score_spread":0.262069545710816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2232518304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9727342,0.0008304038,0.018760467,0.00096903066,0.00075738394,0.0009520077,0.00034090364,0.00012782968,0.004527779],"genre_scores_gemma":[0.9910095,0.00054622366,0.007584318,0.00008031238,0.00018224864,0.000015250505,0.00003406557,0.00009809724,0.00044998864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954879,0.00030615175,0.0013009049,0.00086216826,0.00091833057,0.0011245266],"domain_scores_gemma":[0.99567217,0.0011210975,0.0007191922,0.0012997617,0.0004610423,0.00072671426],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051867974,0.0007187412,0.0012307789,0.0004911667,0.0003765219,0.00021060841,0.0008893119,0.00080773653,0.0006149994],"category_scores_gemma":[0.0017139831,0.0007775524,0.00035463582,0.00079878554,0.0010406374,0.00046229805,0.0005887448,0.00083893596,0.000030062547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047677604,0.00068714697,0.0006661893,0.001719776,0.00064689113,0.0004628245,0.012172868,0.0012023307,0.0027570408,0.9780085,0.00074520294,0.0004544476],"study_design_scores_gemma":[0.0083829975,0.0016119197,0.005756017,0.002394451,0.0021231896,0.0004408467,0.024681762,0.0013168971,0.024229968,0.9264422,0.00088996766,0.0017297689],"about_ca_topic_score_codex":0.0007296408,"about_ca_topic_score_gemma":0.00012431138,"teacher_disagreement_score":0.05156629,"about_ca_system_score_codex":0.00058798137,"about_ca_system_score_gemma":0.0015821587,"threshold_uncertainty_score":0.99946755},"labels":[],"label_agreement":null},{"id":"W2244023066","doi":"10.46298/dmtcs.2839","title":"Crystals from categorified quantum groups","year":2010,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Mathematics; Quotient; Grothendieck group; Quantum; Pure mathematics; Quantum group; Algebra over a field; Humanities; Physics; Philosophy; Quantum mechanics","score_opus":0.01534059310465425,"score_gpt":0.2675785840521044,"score_spread":0.25223799094745014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2244023066","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44556358,0.00021564186,0.5328029,0.001991435,0.013428914,0.00064717827,0.00007095615,0.00020931938,0.005070106],"genre_scores_gemma":[0.8361348,0.000018944835,0.16157447,0.00023055535,0.0017643524,0.000023049623,0.000010657467,0.0000967851,0.00014638554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99352336,0.00018857581,0.0013245756,0.001399496,0.0019340774,0.00162993],"domain_scores_gemma":[0.9935463,0.0020977613,0.00050301064,0.0024160596,0.0004887853,0.0009480531],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0023036762,0.0008603706,0.0011186157,0.00020731262,0.00089671067,0.0013375414,0.0031931486,0.0005718844,0.0030902647],"category_scores_gemma":[0.0010286513,0.0007190294,0.00041619095,0.0009921353,0.008938155,0.0006731438,0.0015953173,0.0015190522,0.00035535576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018996818,0.00032590714,0.000010387845,0.0001870858,0.00006414831,0.000031404623,0.004518143,0.000011105079,0.0028814774,0.9900163,0.00030023835,0.0016348428],"study_design_scores_gemma":[0.00046200442,0.00015661518,0.0000299914,0.00019827222,0.00015588485,0.000052222516,0.00024375139,0.24792124,0.0019816614,0.7478107,0.00029484974,0.0006928066],"about_ca_topic_score_codex":0.000066636836,"about_ca_topic_score_gemma":0.000010461038,"teacher_disagreement_score":0.39057124,"about_ca_system_score_codex":0.0000994534,"about_ca_system_score_gemma":0.00036267136,"threshold_uncertainty_score":0.9996992},"labels":[],"label_agreement":null},{"id":"W2254198353","doi":"10.1063/1.4947112","title":"Twisted Yangians of small rank","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Rank (graph theory); Mathematics; Pure mathematics; Physics; Combinatorics","score_opus":0.04677899746271176,"score_gpt":0.2864262908959392,"score_spread":0.23964729343322744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2254198353","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6731086,0.00004873404,0.32303968,0.0004401193,0.0004122862,0.00014797584,0.0000047879257,0.000021533457,0.0027763161],"genre_scores_gemma":[0.9813362,0.000009861906,0.01794704,0.000027918855,0.00041376316,0.0000012536234,8.113967e-8,0.000029572868,0.00023433298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984481,0.000056326448,0.0007867048,0.000087427456,0.0004350923,0.00018635616],"domain_scores_gemma":[0.9975751,0.0010141904,0.0007099999,0.00028216327,0.00030964878,0.000108912835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036158183,0.00015186163,0.00058716035,0.000040610514,0.000023584302,0.000011101735,0.0003171346,0.00008573709,0.00014431482],"category_scores_gemma":[0.0006711786,0.00008239765,0.00033652002,0.000113154354,0.000101261365,0.00010372124,0.00005156692,0.00013989395,0.000012448786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055981403,0.00024632274,0.00001771777,0.00016767469,0.00011992962,0.0000066874773,0.00035583688,0.0000018765542,0.0030902189,0.99161315,0.0005806821,0.0037439046],"study_design_scores_gemma":[0.0010314139,0.00017428119,0.000026246687,0.00035632358,0.00011433786,0.000039065137,0.000044843535,0.00003749442,0.008353144,0.9896261,0.000089569345,0.000107143744],"about_ca_topic_score_codex":4.1115172e-7,"about_ca_topic_score_gemma":1.3346937e-7,"teacher_disagreement_score":0.3082276,"about_ca_system_score_codex":0.00003831969,"about_ca_system_score_gemma":0.000062794774,"threshold_uncertainty_score":0.33600786},"labels":[],"label_agreement":null},{"id":"W2254972984","doi":"10.1016/j.jalgebra.2017.09.006","title":"A family of representations of the affine Lie superalgebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover><mml:mo stretchy=\"false\">(</mml:mo><mml:mi mathvariant=\"double-struck\">C</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2017,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Fundamental Research Funds for the Central Universities; Natural Sciences and Engineering Research Council of Canada; Recruitment Program for Young Professionals; China Postdoctoral Science Foundation; University of Science and Technology of China; National Natural Science Foundation of China; Ministry of Education of the People's Republic of China; National Science Foundation","keywords":"Lie superalgebra; Mathematics; Superalgebra; Affine transformation; Tensor product; Pure mathematics; Fundamental representation; Class (philosophy); Algebra over a field; Tensor (intrinsic definition); Lie algebra; Affine Lie algebra; Computer science; Artificial intelligence","score_opus":0.022649736302921566,"score_gpt":0.257325000618056,"score_spread":0.23467526431513447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2254972984","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6479734,0.003312124,0.0009915526,0.00196403,0.00911653,0.00018037828,0.0014053937,0.00048507508,0.3345715],"genre_scores_gemma":[0.9726706,0.0045795743,0.004603237,0.003069487,0.007510857,0.002163722,0.0017592758,0.0030923146,0.0005509388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.968309,0.0019004453,0.00786434,0.0051071206,0.00964732,0.007171767],"domain_scores_gemma":[0.97002524,0.0053235604,0.011780118,0.0076605957,0.0012281826,0.00398231],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0064413226,0.0032375986,0.0015711653,0.0022215655,0.00542948,0.0062093292,0.010270038,0.008217677,0.5927682],"category_scores_gemma":[0.0074840863,0.0061074584,0.007981049,0.003772198,0.005856291,0.0059379097,0.007959372,0.0068601393,0.0025496413],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005629979,0.0011018431,0.00006785096,0.0028047613,0.007136336,0.003010157,0.0043695564,0.0029760983,0.0049012434,0.57595354,0.38918328,0.0028653652],"study_design_scores_gemma":[0.009206,0.0051952195,0.00042960118,0.004904728,0.007783463,0.00626573,0.007467587,0.011607308,0.9245722,0.01403335,0.003145284,0.005389524],"about_ca_topic_score_codex":0.007949568,"about_ca_topic_score_gemma":0.004014832,"teacher_disagreement_score":0.91967094,"about_ca_system_score_codex":0.00009732514,"about_ca_system_score_gemma":0.0067943805,"threshold_uncertainty_score":0.99883616},"labels":[],"label_agreement":null},{"id":"W2257802633","doi":"10.1515/forum-2015-0240","title":"A family of irretractable square-free solutions of the Yang–Baxter equation","year":2017,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Narodowe Centrum Nauki; Vrije Universiteit Brussel; Ministerio de Economía y Competitividad","keywords":"Subfamily; Counterexample; Conjecture; Mathematics; Permutation (music); Group (periodic table); Combinatorics; Permutation group; Yang–Baxter equation; Degenerate energy levels; Pure mathematics; Physics; Chemistry","score_opus":0.09692742269059126,"score_gpt":0.31069249835373475,"score_spread":0.21376507566314348,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2257802633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82708615,0.0017649675,0.09390604,0.0034130001,0.012172119,0.0062349965,0.0006520808,0.0003173721,0.054453302],"genre_scores_gemma":[0.99199694,0.000011094791,0.0067804167,0.000020045043,0.00013557718,0.00010594992,0.000009478327,0.00006614155,0.000874345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99729085,0.00009341449,0.0010211252,0.00034799185,0.00082191254,0.0004246783],"domain_scores_gemma":[0.9934876,0.00042059124,0.0022496288,0.0034611414,0.00032420945,0.00005685213],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051580794,0.0003804605,0.0009072212,0.00010503954,0.00027047846,0.000072483504,0.001946387,0.00048807866,0.00007882173],"category_scores_gemma":[0.001790286,0.0002661629,0.0006188529,0.00009188673,0.00021186958,0.000120449746,0.0023810815,0.00053477305,0.0000063190646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015424763,0.00020002828,0.00006565755,0.0022665618,0.0001777983,5.9696043e-7,0.0013417271,0.000048171347,0.0003152687,0.98817664,0.007214017,0.00017812697],"study_design_scores_gemma":[0.00041827816,0.000042306536,0.00022054766,0.0014952093,0.00026966276,0.000004645195,0.00033305495,0.002266826,0.0016538582,0.99297154,0.00007322184,0.0002508231],"about_ca_topic_score_codex":0.00015501965,"about_ca_topic_score_gemma":0.000030291227,"teacher_disagreement_score":0.16491082,"about_ca_system_score_codex":0.00008407715,"about_ca_system_score_gemma":0.00024715232,"threshold_uncertainty_score":0.9999791},"labels":[],"label_agreement":null},{"id":"W2261386100","doi":"10.26421/qic15.15-16-1","title":"Galois unitaries, mutually unbiased bases, and mub-balanced states","year":2015,"lang":"en","type":"article","venue":"Quantum Information and Computation","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Army Research Office; Natural Sciences and Engineering Research Council of Canada; Intelligence Advanced Research Projects Activity","keywords":"Mutually unbiased bases; Mathematics; Prime (order theory); Field (mathematics); Conjecture; Pure mathematics; Discrete mathematics; Dimension (graph theory); Hilbert space; Combinatorics","score_opus":0.040703767964848675,"score_gpt":0.28613049774013405,"score_spread":0.24542672977528537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2261386100","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94180596,0.00007080236,0.05668789,0.0003016819,0.00029330872,0.00021755642,0.000010687046,0.00011959106,0.0004925171],"genre_scores_gemma":[0.9978668,0.000023220564,0.0015303971,0.0003759188,0.000032786946,0.000008136933,0.00014273015,0.0000069541757,0.000013031175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992015,0.00004126389,0.0003228893,0.00008696113,0.00022109813,0.00012630697],"domain_scores_gemma":[0.9992743,0.00014718874,0.00016731127,0.000082344624,0.00021162744,0.00011719893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021102294,0.00012292858,0.00015207077,0.000083346655,0.00010666795,0.00014899333,0.00004764856,0.00006262874,0.000007789359],"category_scores_gemma":[0.00016461316,0.00010948186,0.000016073383,0.00011767142,0.00004648258,0.0006923857,0.00003477093,0.00007716328,0.000006683551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009046147,0.000017683777,0.00027503527,0.00008778861,0.00002026882,7.199004e-7,0.0063178143,0.0007986907,0.000002345989,0.9740744,0.0031783092,0.015136442],"study_design_scores_gemma":[0.001259696,0.00013397614,0.0007330168,0.00001937478,0.000015186708,0.000009693197,0.0018976546,0.23183377,0.000019417275,0.76177424,0.002156943,0.00014703916],"about_ca_topic_score_codex":0.000108770204,"about_ca_topic_score_gemma":0.00000858652,"teacher_disagreement_score":0.23103507,"about_ca_system_score_codex":0.000033543212,"about_ca_system_score_gemma":0.00007017286,"threshold_uncertainty_score":0.44645405},"labels":[],"label_agreement":null},{"id":"W2261844171","doi":"10.1016/j.aim.2017.06.013","title":"A canonical torsion theory for pro-p Iwahori–Hecke modules","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National University of Singapore","keywords":"Mathematics; Torsion (gastropod); Residue field; Combinatorics; Pure mathematics; Field (mathematics); Discrete mathematics; Algebra over a field","score_opus":0.052386581830635486,"score_gpt":0.3776968446381262,"score_spread":0.3253102628074907,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2261844171","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50099975,0.021884734,0.4067932,0.00050620775,0.021453135,0.015379496,0.00045277024,0.0010042981,0.03152641],"genre_scores_gemma":[0.6279497,0.0016919571,0.36487478,0.000046054658,0.0013613781,0.0016698133,0.000050014798,0.0002812378,0.0020750433],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971797,0.000092593196,0.0009555673,0.0007102169,0.0005036285,0.0005583351],"domain_scores_gemma":[0.99556047,0.0013234686,0.0010121455,0.0018166042,0.00017887776,0.00010842304],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010742596,0.0005964218,0.0011789483,0.00012512272,0.00022127226,0.00013839084,0.0013696529,0.0006430903,0.000046408553],"category_scores_gemma":[0.0025611115,0.0004990176,0.0003578633,0.000054496664,0.0001894133,0.00022670483,0.0009048541,0.0007520016,0.000005364861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006434317,0.00021050377,0.000028887958,0.0030760113,0.000054705386,0.000006126976,0.0012236271,0.00016695003,0.000005153091,0.9905968,0.00021442167,0.004352482],"study_design_scores_gemma":[0.0006850326,0.00006917273,0.000012852486,0.0013586388,0.00012083454,0.0000068772943,0.00021932341,0.003788974,0.00019276243,0.99063146,0.0023537758,0.0005603231],"about_ca_topic_score_codex":0.0000075152293,"about_ca_topic_score_gemma":0.000064005646,"teacher_disagreement_score":0.12694998,"about_ca_system_score_codex":0.00023114664,"about_ca_system_score_gemma":0.00022247444,"threshold_uncertainty_score":0.99974614},"labels":[],"label_agreement":null},{"id":"W2262234401","doi":"10.1139/cjp-2012-0391","title":"su(2) -expansion of the Lorentz algebra so(3,1 )","year":2013,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Alberta; Lakehead University","funders":"","keywords":"Unitarity; Physics; Unitary state; Computation; Formalism (music); Lorentz transformation; Subalgebra; Algebra over a field; Unitary representation; Lorentz group; Pure mathematics; Equivalence (formal languages); Matrix (chemical analysis); Quantum mechanics; Mathematics; Algorithm","score_opus":0.01916963653194432,"score_gpt":0.23031342641124694,"score_spread":0.21114378987930263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2262234401","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99715245,0.00011744346,0.00053307746,0.00041103258,0.0012226948,0.000115833434,0.0000036860947,0.0000025676688,0.00044123406],"genre_scores_gemma":[0.99909633,0.00000274388,0.00028297448,0.00011706041,0.000401417,0.0000010572436,2.706343e-7,0.00001678551,0.00008136641],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991668,0.00003941454,0.00031503994,0.00006195851,0.00022227684,0.000194533],"domain_scores_gemma":[0.9988001,0.00007100247,0.00035050657,0.0002535297,0.00028924647,0.00023559912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000090081616,0.00010233042,0.00021896538,0.000037698795,0.0001085624,0.000047300946,0.0003825148,0.000058123438,0.00018306254],"category_scores_gemma":[0.00010174558,0.0000663439,0.00018273693,0.00014214321,0.00011407941,0.0001346912,0.000019920852,0.0002093779,0.0000056857484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030361343,0.000013527701,0.00094759825,0.000030672814,0.00006139135,0.0000033443132,0.0011870629,0.000033939643,0.0005310127,0.9776181,0.013926426,0.005643906],"study_design_scores_gemma":[0.00023337177,0.000045615623,0.0012510277,0.00006827462,0.000036336005,0.000011835704,0.00014015319,0.000034831715,0.0045301653,0.9928395,0.0007319535,0.00007693555],"about_ca_topic_score_codex":0.002002632,"about_ca_topic_score_gemma":0.0004564422,"teacher_disagreement_score":0.015221418,"about_ca_system_score_codex":0.00006607066,"about_ca_system_score_gemma":0.00081955903,"threshold_uncertainty_score":0.3027394},"labels":[],"label_agreement":null},{"id":"W2263407552","doi":"10.13189/ms.2015.030604","title":"Hopf Cyclic Cohomology in Non-symmetric Monoidal Categories","year":2015,"lang":"en","type":"article","venue":"Mathematics and Statistics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Pure mathematics; Symmetric monoidal category; Cohomology; Algebra over a field; Functor","score_opus":0.04064396482522463,"score_gpt":0.2983790107767662,"score_spread":0.25773504595154156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2263407552","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82948154,0.00031408874,0.1651267,0.00013161833,0.00076829764,0.0004917172,0.000063754735,0.00006708354,0.0035551698],"genre_scores_gemma":[0.8509902,0.000047546397,0.14851707,0.00004172542,0.00007739895,0.000026472051,0.000009327528,0.00003687544,0.0002534222],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862707,0.00003401564,0.0004930453,0.00022900202,0.0002863021,0.00033055755],"domain_scores_gemma":[0.99861115,0.00063285243,0.0001695738,0.00028616146,0.00013009828,0.00017017635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003859324,0.00022735629,0.0004889338,0.00017692013,0.000062044026,0.00006774699,0.00017050511,0.00014261613,0.000019363504],"category_scores_gemma":[0.00097144814,0.00019623994,0.000028376198,0.00027246648,0.000108663386,0.000056051478,0.000117002804,0.00019617214,0.000011639591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000104286355,0.00010483421,0.000539236,0.00013949508,0.000021233227,0.00003179772,0.0025124853,0.0000070784067,0.0000059650974,0.9932666,0.0019410643,0.0014197836],"study_design_scores_gemma":[0.00086076267,0.0001250546,0.0003009546,0.000023564708,0.000037340942,0.00003332406,0.0007022963,0.0081939725,0.000041494906,0.9893173,0.0001375207,0.00022643057],"about_ca_topic_score_codex":0.00009101891,"about_ca_topic_score_gemma":0.00006101454,"teacher_disagreement_score":0.021508584,"about_ca_system_score_codex":0.00006039931,"about_ca_system_score_gemma":0.00006837986,"threshold_uncertainty_score":0.80024326},"labels":[],"label_agreement":null},{"id":"W2266792269","doi":"","title":"Lie tori of rank 1","year":2004,"lang":"pt","type":"article","venue":"Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; University of Alberta","funders":"","keywords":"Lie algebra; Rank (graph theory); Mathematics; Affine transformation; Algebra over a field; Pure mathematics; Torus; Representation of a Lie group; Adjoint representation of a Lie algebra; Lie conformal algebra; Combinatorics; Geometry","score_opus":0.023455987253769246,"score_gpt":0.2827118790995526,"score_spread":0.25925589184578335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2266792269","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90516746,0.0011515953,0.05496976,0.001604563,0.002931872,0.0017367982,0.00051869376,0.00044584446,0.031473394],"genre_scores_gemma":[0.9891662,0.0004692339,0.0085459035,0.00013722685,0.00036886218,0.000015557533,0.00003362778,0.0001551529,0.0011082542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99426174,0.00034711105,0.0012871154,0.0009993501,0.001277218,0.0018274597],"domain_scores_gemma":[0.9953047,0.0007774283,0.0006474855,0.0016833568,0.000564976,0.0010220332],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008026571,0.00095495646,0.0013918489,0.00055614125,0.0005093356,0.00038483882,0.0014823703,0.00096620404,0.0012405486],"category_scores_gemma":[0.0017341236,0.0010210805,0.00053120905,0.0010659045,0.00083196803,0.0005464227,0.0005966334,0.0011579612,0.00026679694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00066778547,0.000820075,0.00011483287,0.0015513836,0.0006061272,0.0013943377,0.008439268,0.002436133,0.0014043106,0.9799947,0.0020803846,0.0004906589],"study_design_scores_gemma":[0.010661212,0.0012068191,0.0005937643,0.0028222997,0.001946346,0.0005383383,0.016031764,0.001809197,0.011160723,0.94230914,0.008741578,0.0021788045],"about_ca_topic_score_codex":0.00040373672,"about_ca_topic_score_gemma":0.000044972032,"teacher_disagreement_score":0.0839987,"about_ca_system_score_codex":0.0018662518,"about_ca_system_score_gemma":0.0025793149,"threshold_uncertainty_score":0.9996725},"labels":[],"label_agreement":null},{"id":"W2272893511","doi":"10.1090/tran/6727","title":"On noncommutative finite factorization domains","year":2016,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Factorization; Noncommutative geometry; Unique factorization domain; Dimension (graph theory); Domain (mathematical analysis); Algebraically closed field; Element (criminal law); Multiplication (music); Factorization of polynomials","score_opus":0.020694173472110815,"score_gpt":0.2889962533967522,"score_spread":0.2683020799246414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2272893511","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2550671,0.0000016891224,0.7430562,0.0007964415,0.00011287676,0.00019813534,0.000022524771,0.00005462425,0.0006904119],"genre_scores_gemma":[0.99054277,0.000009828734,0.008908487,0.00011921873,0.000027723874,0.000022835444,2.393191e-7,0.000024969811,0.00034393906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988741,0.000092877824,0.00031194082,0.00016355084,0.00036515345,0.0001923446],"domain_scores_gemma":[0.99666363,0.0024265896,0.0002882532,0.0004942065,0.00006820715,0.000059106693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014452936,0.00016227156,0.00033335594,0.000017287497,0.0001735409,0.000009731133,0.00032470215,0.00005029306,0.00027277527],"category_scores_gemma":[0.00022828754,0.00008026521,0.0004535692,0.00030064269,0.0005168268,0.00006557806,0.000017682378,0.00014235602,0.000013504926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046433586,0.00029051286,0.00002904648,0.00005492872,0.00020668302,1.2542212e-7,0.0021222567,0.00007146083,0.0012737709,0.9923729,0.00032162265,0.003210272],"study_design_scores_gemma":[0.0003840432,0.00014383801,0.00014015986,0.00008341325,0.000073741794,0.0000013284956,0.00035178,0.00025283007,0.0038528221,0.99456465,0.00003128543,0.00012009582],"about_ca_topic_score_codex":0.000009050651,"about_ca_topic_score_gemma":0.0000010108843,"teacher_disagreement_score":0.73547566,"about_ca_system_score_codex":0.000088598,"about_ca_system_score_gemma":0.000032628504,"threshold_uncertainty_score":0.32731202},"labels":[],"label_agreement":null},{"id":"W2281288575","doi":"10.4153/cmb-2016-038-4","title":"Ghosts and Strong Ghosts in the Stable Category","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Subcategory; Functor; Cohomology; Sylow theorems; Group (periodic table); Pure mathematics; Order (exchange); Zero (linguistics); Field (mathematics); Combinatorics; Finite group","score_opus":0.02477887938157474,"score_gpt":0.25323819331414893,"score_spread":0.22845931393257418,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2281288575","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9460453,0.00021490573,0.00094873656,0.02065509,0.00019074892,0.00071971363,0.00001960354,0.000049488943,0.031156449],"genre_scores_gemma":[0.9976047,0.0000091480415,0.00038626947,0.00055426284,0.00008515359,0.000046333844,7.756595e-7,0.000027566288,0.0012857878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856955,0.0001061953,0.00030348045,0.00025155707,0.00023714876,0.00053209445],"domain_scores_gemma":[0.99825376,0.00094698934,0.000054714063,0.00041301534,0.000034172343,0.00029733664],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005389348,0.00018935287,0.00026443554,0.00008981066,0.00011236127,0.000068188885,0.00032213953,0.00012694039,0.003628471],"category_scores_gemma":[0.0006913022,0.000103592145,0.00004746259,0.00010368643,0.00013197055,0.000039150134,0.000044645254,0.00016442893,0.00051196787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004518877,0.00001745649,0.00010765354,0.0000429676,0.000008687454,0.0000282849,0.00050650333,8.684657e-8,0.000010933874,0.98718464,0.011229885,0.0008583978],"study_design_scores_gemma":[0.00041453584,0.000030513638,0.00038041323,0.00009869149,0.000014652239,0.000031918313,0.00035822298,0.000012590492,0.00003417529,0.98362917,0.01481759,0.00017755272],"about_ca_topic_score_codex":0.0012308517,"about_ca_topic_score_gemma":0.0022303911,"teacher_disagreement_score":0.05155944,"about_ca_system_score_codex":0.00012922041,"about_ca_system_score_gemma":0.00012649596,"threshold_uncertainty_score":0.9972823},"labels":[],"label_agreement":null},{"id":"W2281461875","doi":"10.4153/cmb-2018-016-4","title":"Monoidal Categories, 2-Traces, and Cyclic Cohomology","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Windsor; Western University","funders":"","keywords":"Mathematics; Unital; Cyclic homology; Cohomology; Symmetric monoidal category; TRACE (psycholinguistics); Bimodule; Associative property; Monoidal category; Homology (biology); Combinatorics; Abelian group; Pure mathematics; Algebra over a field; Linguistics; Functor","score_opus":0.019913678281987913,"score_gpt":0.26185467333139545,"score_spread":0.24194099504940753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2281461875","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9523921,0.00018421898,0.0011713158,0.005562699,0.00050213374,0.00042989364,0.000013947621,0.000117747084,0.03962596],"genre_scores_gemma":[0.9937174,0.0000057429074,0.0028375466,0.0006891151,0.0003889191,0.000027918468,0.000003006432,0.00004192505,0.0022884784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855566,0.000061910454,0.00032825812,0.00032438483,0.00016981162,0.00055995217],"domain_scores_gemma":[0.99849206,0.0003354109,0.000071161405,0.0003789437,0.00008948983,0.0006329151],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00025564057,0.00022599503,0.00036161856,0.000097232376,0.00023680541,0.00007009645,0.00024100381,0.00022916072,0.009441866],"category_scores_gemma":[0.0006463895,0.00019885335,0.000051947834,0.00010809225,0.00044791517,0.000025896059,0.00006140466,0.00020549909,0.0016279501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000073694387,0.000015234752,0.000057355435,0.00004658923,0.0000249801,0.000022604503,0.00038948952,3.583908e-8,0.0000139112335,0.97939885,0.019534552,0.0004890447],"study_design_scores_gemma":[0.00027610402,0.00008928695,0.000105304935,0.000021250116,0.000032712764,0.00010994336,0.00010905482,0.000048386213,0.00012761778,0.9499831,0.048868723,0.00022848738],"about_ca_topic_score_codex":0.0016172867,"about_ca_topic_score_gemma":0.0022260114,"teacher_disagreement_score":0.041325267,"about_ca_system_score_codex":0.00009663126,"about_ca_system_score_gemma":0.00015880642,"threshold_uncertainty_score":0.9991494},"labels":[],"label_agreement":null},{"id":"W2284645330","doi":"10.70930/tac/y3meuxdc","title":"Revisiting the canonicity of canonical triangulations","year":2018,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Functor; Morphism; Mathematics; Closure (psychology); Uniqueness; Statement (logic); Class (philosophy); Categorical variable; Pure mathematics; Computer science; Linguistics; Mathematical analysis","score_opus":0.02005107658733843,"score_gpt":0.3029248870021403,"score_spread":0.28287381041480186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2284645330","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9417987,0.00051578175,0.045761414,0.00038805322,0.0000706676,0.00048761445,0.000016945574,0.000034231518,0.010926599],"genre_scores_gemma":[0.9990856,0.000011459315,0.00040228802,0.000014636333,0.0002798301,0.000040435356,0.000001547819,0.000005996352,0.00015817351],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942905,0.00008099643,0.00024070515,0.00008855115,0.00008529271,0.00007542031],"domain_scores_gemma":[0.9985288,0.0008423059,0.00016276684,0.00030802167,0.0001369585,0.000021191434],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052626245,0.00006238589,0.00015047702,0.000020409063,0.0001922157,0.000008116009,0.00015578102,0.000038495193,0.000055801425],"category_scores_gemma":[0.00018244103,0.000041329597,0.000036876085,0.00015119808,0.0005680628,0.000032870666,0.000050974595,0.00005434291,6.344956e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027296615,0.0000075831695,0.000059483067,0.00002527911,0.000018479226,1.1357644e-8,0.00052325707,6.0102457e-7,0.00018003628,0.9950083,0.000017479211,0.004132208],"study_design_scores_gemma":[0.00011432102,0.000017724129,0.00037032616,0.000008246605,0.000048668302,0.0000017674796,0.000542974,0.000007723341,0.0051663164,0.9925244,0.0011541127,0.00004345168],"about_ca_topic_score_codex":0.00003362569,"about_ca_topic_score_gemma":0.000006688478,"teacher_disagreement_score":0.057286937,"about_ca_system_score_codex":0.0000055907044,"about_ca_system_score_gemma":0.000059519785,"threshold_uncertainty_score":0.20930512},"labels":[],"label_agreement":null},{"id":"W2289895387","doi":"10.4153/cmb-2014-003-0","title":"On Semisimple Hopf Algebras of Dimension <i>pq</i><sup><i>n</i></sup>","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Government of Jiangsu Province; China Postdoctoral Science Foundation; National Natural Science Foundation of China; Jiangsu Planned Projects for Postdoctoral Research Funds; National Science Foundation","keywords":"Mathematics; Hopf algebra; Algebraically closed field; Dimension (graph theory); Prime (order theory); Pure mathematics; Algebra over a field; Order (exchange); Field (mathematics); Quasitriangular Hopf algebra; Quantum group; Discrete mathematics; Combinatorics; Division algebra; Algebra representation","score_opus":0.013430502949086313,"score_gpt":0.23583806992985895,"score_spread":0.22240756698077263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2289895387","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9656218,0.00003005019,0.0016879769,0.0021597256,0.00017253942,0.00046713764,0.00002223578,0.00009684028,0.029741688],"genre_scores_gemma":[0.9951146,0.0000018892704,0.0022872214,0.0013618651,0.00016081212,0.000025604151,0.000007840011,0.00007620192,0.00096394686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997686,0.00013959463,0.0006232406,0.00040946022,0.00049481215,0.0006468807],"domain_scores_gemma":[0.9966703,0.0014981466,0.00016732501,0.0008465069,0.00011835208,0.00069935696],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005590421,0.0003444383,0.00064652733,0.00016158295,0.00017945564,0.000041045692,0.00043168676,0.00026218948,0.008645382],"category_scores_gemma":[0.0020716856,0.00029474136,0.00020247728,0.00018334023,0.00013783415,0.000025591147,0.000070770584,0.00030088643,0.0015859451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001706978,0.000058972677,0.000012235389,0.00015476183,0.000031106596,0.0000067011174,0.0003699508,0.000041680345,0.000028127972,0.95063525,0.04824696,0.0003971812],"study_design_scores_gemma":[0.00059026084,0.00016914133,0.000011360298,0.00018607058,0.000049304308,0.000016159063,0.0000819194,0.0012912931,0.00047149463,0.9714779,0.025335856,0.00031922423],"about_ca_topic_score_codex":0.00041240547,"about_ca_topic_score_gemma":0.00009843729,"teacher_disagreement_score":0.029492812,"about_ca_system_score_codex":0.000121771656,"about_ca_system_score_gemma":0.00013093033,"threshold_uncertainty_score":0.99995047},"labels":[],"label_agreement":null},{"id":"W2295724805","doi":"10.1080/00927872.2015.1027396","title":"Irreducible Modules for the Lie Algebra of Divergence Zero Vector Fields on a Torus","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Irreducibility; Divergence (linguistics); Lie algebra; Vector field; Zero (linguistics); Subalgebra; Lie bracket of vector fields; Pure mathematics; Torus; Lie conformal algebra; Universal enveloping algebra; Algebra over a field; Adjoint representation of a Lie algebra; Geometry","score_opus":0.08839762535303211,"score_gpt":0.3431722853751816,"score_spread":0.25477466002214944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2295724805","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9210219,0.0028445397,0.04832534,0.019838566,0.0020073145,0.0022437803,0.00010049289,0.00017513333,0.0034429538],"genre_scores_gemma":[0.993929,0.0005168524,0.004740722,0.0001079025,0.00005802175,0.00027028366,0.0000027887347,0.00002376656,0.00035063602],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988821,0.00009786348,0.00040752842,0.00020887298,0.00018295647,0.00022066609],"domain_scores_gemma":[0.9934477,0.003584707,0.00018225712,0.0026312787,0.00011312093,0.000040915555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032722382,0.00015379723,0.00023985954,0.000075383214,0.0002121849,0.000019045952,0.0017179875,0.00011675904,0.00008126429],"category_scores_gemma":[0.00091774616,0.00009242581,0.00012819679,0.00021190963,0.00022134304,0.000087451204,0.0004088297,0.0001555904,0.000009088601],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033402106,0.00012695491,0.00017162811,0.00001864872,0.00003786361,9.951181e-8,0.0004042171,0.0000045246034,0.000168174,0.9865037,0.0027266,0.009804193],"study_design_scores_gemma":[0.00053115695,0.00009558823,0.0012752976,0.00012492083,0.000028492548,8.860886e-7,0.00007490442,0.00020081786,0.0021943555,0.9927646,0.0025746825,0.00013429791],"about_ca_topic_score_codex":0.000039925613,"about_ca_topic_score_gemma":0.000063274194,"teacher_disagreement_score":0.07290715,"about_ca_system_score_codex":0.000060774964,"about_ca_system_score_gemma":0.00005221394,"threshold_uncertainty_score":0.37690154},"labels":[],"label_agreement":null},{"id":"W2299340680","doi":"10.48550/arxiv.1603.04367","title":"Associative algebras for (logarithmic) twisted modules for a vertex operator algebra","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Vertex operator algebra; Mathematics; Pure mathematics; Vertex (graph theory); Functor; Cellular algebra; Associative property; Associative algebra; Universal enveloping algebra; Automorphism; Algebra over a field; Subalgebra; Generalization; Algebra representation; Jordan algebra; Discrete mathematics","score_opus":0.10805058762162473,"score_gpt":0.23993365569277975,"score_spread":0.13188306807115502,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2299340680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6492887,0.0000893106,0.3417167,0.00024704487,0.0029566253,0.0033571243,0.0010514851,0.00036912618,0.0009238224],"genre_scores_gemma":[0.99252105,0.00003667114,0.0030107873,0.00012991615,0.00047503714,0.000058520523,0.00008708832,0.00013231588,0.0035486377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972241,0.00013916376,0.00044521544,0.0013393492,0.00015016174,0.0007019997],"domain_scores_gemma":[0.9960552,0.0014417503,0.0006086334,0.00096199894,0.0007029923,0.00022945179],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00035359777,0.00066638435,0.0010021077,0.00019429935,0.00033939953,0.00010417415,0.0010793124,0.0009176635,0.00007150683],"category_scores_gemma":[0.00077718735,0.0006267723,0.0007876727,0.0001885106,0.00015089166,0.00019200002,0.0007393526,0.0004133636,0.000013994743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002984968,0.0001142768,0.0001260117,0.00027329742,0.00076825265,0.000011458705,0.00028451462,0.00015666152,0.000040671654,0.99339235,0.004295185,0.00023882877],"study_design_scores_gemma":[0.003188004,0.00016716929,0.000089636866,0.00021012028,0.0005418298,0.0000012495022,0.00015126208,0.013344605,0.00043106757,0.9802097,0.0008670178,0.0007983527],"about_ca_topic_score_codex":0.000035948462,"about_ca_topic_score_gemma":0.000037438618,"teacher_disagreement_score":0.34323227,"about_ca_system_score_codex":0.0006602227,"about_ca_system_score_gemma":0.00034193005,"threshold_uncertainty_score":0.99961835},"labels":[],"label_agreement":null},{"id":"W2300737405","doi":"10.1017/fms.2019.5","title":"CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS","year":2019,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Moduli space; Teichmüller space; Cluster (spacecraft); Group (periodic table); Pure mathematics; Mathematical proof; Prime (order theory); Moduli; Cluster algebra; Fock space; Space (punctuation); Surface (topology); Combinatorics; Geometry; Riemann surface; Physics; Quantum mechanics","score_opus":0.02629024514112999,"score_gpt":0.28668750296628914,"score_spread":0.26039725782515916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2300737405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9786326,0.000056014887,0.00729358,0.0015899754,0.0021419793,0.0017134207,0.000035068973,0.00012584214,0.0084115],"genre_scores_gemma":[0.97444963,0.00000192876,0.021373939,0.00021077794,0.00023345358,0.00005136615,0.0000065418567,0.00008424166,0.0035881198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981151,0.00003150222,0.0005647554,0.00033423232,0.00052211626,0.00043224654],"domain_scores_gemma":[0.9973598,0.0013444088,0.0003798381,0.00070763036,0.000116678784,0.0000916506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002256234,0.00032732025,0.00066469546,0.000096965545,0.000074977994,0.000049010407,0.0004134091,0.00026029928,0.000596009],"category_scores_gemma":[0.00021665852,0.00023910332,0.0002991312,0.000100019686,0.00007048892,0.00008800973,0.00012756923,0.00018714355,0.00003445936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000090031004,0.0001779304,0.0000790915,0.00052689144,0.00009871048,4.065105e-7,0.0004306664,0.00004664929,0.00023096065,0.9835463,0.014620222,0.00015212435],"study_design_scores_gemma":[0.0014780207,0.00047608116,0.000058507616,0.0001224364,0.00006519089,0.0000031046504,0.0003848823,0.0012486099,0.002437493,0.9894582,0.0039782953,0.00028920322],"about_ca_topic_score_codex":0.0000024565154,"about_ca_topic_score_gemma":0.0000027685746,"teacher_disagreement_score":0.01408036,"about_ca_system_score_codex":0.000042781332,"about_ca_system_score_gemma":0.0000309555,"threshold_uncertainty_score":0.9750351},"labels":[],"label_agreement":null},{"id":"W230312697","doi":"10.1016/j.jalgebra.2003.09.046","title":"Uq(glN) action on glN-modules and quantum toroidal algebras","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Quantum affine algebra; Mathematics; Current algebra; Algebra over a field; Realization (probability); Pure mathematics; Quantum algebra; Quantum; Algebra representation; Quantum group; Universal enveloping algebra; Filtered algebra; Cellular algebra; Toroid; Vertex (graph theory); Lie conformal algebra; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.04329241121721708,"score_gpt":0.3089215077681759,"score_spread":0.2656290965509588,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W230312697","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99565035,0.0004266616,0.00083290355,0.00029538068,0.001914815,0.00011000033,0.0000011192946,0.00003867462,0.0007300991],"genre_scores_gemma":[0.99740875,0.00013230069,0.0016221325,0.00016483331,0.00052978814,0.0000017910713,3.0166643e-7,0.00004963319,0.00009048294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99831265,0.00013661986,0.00057372777,0.00018816622,0.0005183729,0.0002704662],"domain_scores_gemma":[0.9985458,0.00032804534,0.00052828534,0.00024392309,0.00016451406,0.00018938168],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048329215,0.00023505562,0.00043197031,0.00014334837,0.00011503064,0.00008744391,0.00018081823,0.00016440575,0.000118172844],"category_scores_gemma":[0.00056228106,0.00018191246,0.00017823353,0.00012367118,0.0000591786,0.00029002517,0.00002809067,0.00041212278,0.000006182422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012286783,0.00011154611,0.00030635184,0.00003590659,0.000109115215,0.00002448182,0.00027440503,0.0000063928032,0.0006853372,0.9937032,0.0026741936,0.0019462378],"study_design_scores_gemma":[0.001102966,0.00053955265,0.0016626158,0.000079003024,0.00008306207,0.00032458134,0.00030760464,0.00003190818,0.0047480827,0.98767394,0.0032378465,0.00020885143],"about_ca_topic_score_codex":0.00000581599,"about_ca_topic_score_gemma":0.0000038358094,"teacher_disagreement_score":0.006029239,"about_ca_system_score_codex":0.00009215126,"about_ca_system_score_gemma":0.00007926482,"threshold_uncertainty_score":0.7418175},"labels":[],"label_agreement":null},{"id":"W2314635900","doi":"10.4153/cjm-2011-036-9","title":"The Cubic Dirac Operator for Infinite-Dimensonal Lie Algebras","year":2011,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Pure mathematics; Bilinear form; Lie algebra; Affine Lie algebra; Lie conformal algebra; Non-associative algebra; Clifford algebra; Dirac operator; Killing form; Casimir element; Rank (graph theory); Algebra over a field; Adjoint representation of a Lie algebra; Combinatorics; Current algebra","score_opus":0.07430041863544565,"score_gpt":0.2724199684682532,"score_spread":0.19811954983280758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2314635900","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98828006,0.000923647,0.0044188704,0.00047933694,0.002419222,0.00055031845,0.000027454083,0.000019647518,0.002881454],"genre_scores_gemma":[0.96933126,0.00002046506,0.029429,0.00018719342,0.00049107167,0.000016815355,7.587183e-7,0.0000667526,0.0004566576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983794,0.000042668442,0.0007604108,0.00010837968,0.00026681274,0.00044234263],"domain_scores_gemma":[0.9973414,0.000828484,0.00050817913,0.00035150835,0.0004525902,0.00051783683],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081254676,0.0002077867,0.00037655144,0.000118648284,0.00042050635,0.00010622532,0.00065522105,0.00012591227,0.00018029509],"category_scores_gemma":[0.0014101189,0.00013527021,0.00023904098,0.00012769505,0.00013844899,0.00012405693,0.000022865504,0.00026227566,0.000010874788],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000141250175,0.000032723976,0.00012211419,0.000060849947,0.00014237169,0.000018226803,0.0032838671,0.0000012088312,0.000016968368,0.988364,0.0074941074,0.00044943817],"study_design_scores_gemma":[0.00050203933,0.00018626617,0.000070654416,0.00008943007,0.00011336719,0.00012955489,0.0010793097,0.00008379454,0.00072943396,0.98750323,0.0093346685,0.00017826656],"about_ca_topic_score_codex":0.00011797177,"about_ca_topic_score_gemma":0.0014877884,"teacher_disagreement_score":0.02501013,"about_ca_system_score_codex":0.00010576853,"about_ca_system_score_gemma":0.00097419025,"threshold_uncertainty_score":0.5516159},"labels":[],"label_agreement":null},{"id":"W2315632534","doi":"10.4153/cmb-2005-054-8","title":"Separation of Variables for","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Universidade do Porto; Universidade de São Paulo; Canadian Mathematical Society; University of Wisconsin-Madison; University of North Carolina at Chapel Hill; National Science Foundation","keywords":"Mathematics; Subalgebra; Universal enveloping algebra; Algebra over a field; Center (category theory); Pure mathematics; Filtered algebra; Cellular algebra; Polynomial; Algebra representation; Mathematical analysis","score_opus":0.027811968951724688,"score_gpt":0.29989491793933076,"score_spread":0.2720829489876061,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2315632534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66673356,0.00025535453,0.1684128,0.022143537,0.00075323845,0.0033721472,0.00015070324,0.00022465385,0.13795401],"genre_scores_gemma":[0.9579485,0.0000010950329,0.039402332,0.00025538064,0.00021838381,0.00005634595,0.0000048704987,0.000025408292,0.0020876573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912304,0.000019137948,0.00032884735,0.00014074847,0.00012933803,0.00025887758],"domain_scores_gemma":[0.9989272,0.00045534174,0.000081724516,0.00023319318,0.00009345228,0.00020908954],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00024639387,0.00011366826,0.0002495316,0.000064275555,0.00006662989,0.000018264582,0.00015725537,0.00011057116,0.005190637],"category_scores_gemma":[0.0006680388,0.00010130219,0.00008825855,0.000060997318,0.00004238144,0.000021583062,0.000012057224,0.00006000059,0.00024546593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006463515,0.000021328617,0.0000023936368,0.000096632626,0.000016347763,3.1944725e-7,0.00014097294,0.000008585167,0.00003183808,0.9731342,0.026066747,0.0004741726],"study_design_scores_gemma":[0.00027401742,0.000033004188,0.0000040738446,0.00003357421,0.000028891916,0.000003866528,0.00003278518,0.000618094,0.00068407354,0.9241069,0.0740722,0.00010850614],"about_ca_topic_score_codex":0.00011550044,"about_ca_topic_score_gemma":0.00027946036,"teacher_disagreement_score":0.29121497,"about_ca_system_score_codex":0.00007989541,"about_ca_system_score_gemma":0.00012486172,"threshold_uncertainty_score":0.9957188},"labels":[],"label_agreement":null},{"id":"W2317738532","doi":"10.4153/cmb-2003-002-9","title":"Generalized Commutativity in Group Algebras","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Commutative property; Abelian group; Group (periodic table); Pure mathematics; Skew; Algebra over a field; Chemistry","score_opus":0.02774130381366444,"score_gpt":0.26575341141890635,"score_spread":0.2380121076052419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2317738532","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9644687,0.000092218106,0.0017773332,0.0013466055,0.00023656884,0.0005010145,0.0000072777434,0.000068999514,0.03150126],"genre_scores_gemma":[0.9876222,0.0000033208617,0.010794902,0.00068799197,0.000043457672,0.00006390151,0.000003573161,0.00004876391,0.00073189504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99805427,0.00028662034,0.00046279043,0.0003019036,0.000252416,0.000641983],"domain_scores_gemma":[0.9984302,0.0004773741,0.000051411247,0.00048154022,0.000038544695,0.0005209104],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00067285646,0.0002577101,0.00047051779,0.000159267,0.00011870183,0.000059980677,0.00028085033,0.00019340134,0.01463785],"category_scores_gemma":[0.0014861132,0.00023727145,0.0001130823,0.00022591598,0.00010114547,0.00003224509,0.00002806881,0.00031514734,0.0011331848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043844584,0.000058648402,0.00008535229,0.000052075622,0.000014162764,0.000043967615,0.0002605631,0.000004278227,0.000009370238,0.9960012,0.003363043,0.000102982056],"study_design_scores_gemma":[0.00072318874,0.000026715708,0.00008365573,0.00004899025,0.000015127205,0.000028922444,0.00011367,0.00010399183,0.00007554198,0.98492604,0.013572266,0.00028186676],"about_ca_topic_score_codex":0.0020838259,"about_ca_topic_score_gemma":0.007647187,"teacher_disagreement_score":0.030769365,"about_ca_system_score_codex":0.0002496451,"about_ca_system_score_gemma":0.00015271074,"threshold_uncertainty_score":0.9996446},"labels":[],"label_agreement":null},{"id":"W2324887072","doi":"10.4153/cmb-2003-008-7","title":"Multi-Sided Braid Type Subfactors, II","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Braid; Type (biology); Braid group; Pure mathematics; Conjugate; Combinatorics; Mathematical analysis","score_opus":0.04557104458495121,"score_gpt":0.27611968264696085,"score_spread":0.23054863806200965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2324887072","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9230922,0.00025132988,0.00317598,0.0034909106,0.0016791598,0.0011425904,0.00003079028,0.00032514398,0.06681192],"genre_scores_gemma":[0.9764286,0.0000036463553,0.013993862,0.0006712079,0.00009583419,0.000020810354,0.0000062194094,0.000074495416,0.008705295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981687,0.00010517868,0.00042259856,0.00034692374,0.0002740717,0.0006824967],"domain_scores_gemma":[0.9979916,0.0004344654,0.000086548134,0.0005728458,0.00011717761,0.00079736335],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00033894394,0.0002967216,0.00041969205,0.00011383982,0.00030417924,0.00006279642,0.00030870308,0.00024351545,0.03241987],"category_scores_gemma":[0.004064772,0.00026155464,0.00013004689,0.00020892806,0.000094962794,0.000030493338,0.000041417334,0.00028575739,0.002884218],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041449307,0.000059018243,0.000032237993,0.00004690506,0.00003255835,0.00002332972,0.00031144446,5.707677e-7,0.00008484092,0.9766512,0.022700014,0.00005373076],"study_design_scores_gemma":[0.0004956841,0.000062209365,0.00003089033,0.00005738807,0.000034524965,0.000036797468,0.00010417078,0.000033188662,0.0004429173,0.88824564,0.11010827,0.00034830006],"about_ca_topic_score_codex":0.0004050043,"about_ca_topic_score_gemma":0.0006603301,"teacher_disagreement_score":0.08840555,"about_ca_system_score_codex":0.0001867529,"about_ca_system_score_gemma":0.00032532416,"threshold_uncertainty_score":0.99998367},"labels":[],"label_agreement":null},{"id":"W2326711417","doi":"10.1016/j.jalgebra.2014.09.031","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msubsup><mml:mrow><mml:mi mathvariant=\"script\">W</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:math>- and<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"script\">W</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>-module structures on<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si3.gif\" overflow=\"scroll\"><mml:mi>U</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">h</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2014,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":85,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Rank (graph theory); Subalgebra; Algebra over a field; Combinatorics; Pure mathematics","score_opus":0.017207354752117876,"score_gpt":0.23939854424642176,"score_spread":0.2221911894943039,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326711417","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51345056,0.0050542555,0.0017807876,0.0020246876,0.012861463,0.00021529765,0.0018061846,0.0011529446,0.4616538],"genre_scores_gemma":[0.94777805,0.0074332375,0.007832933,0.007127251,0.012401523,0.0053933444,0.004834896,0.006255133,0.0009436515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9508864,0.00317256,0.010808461,0.008838209,0.013833901,0.012460441],"domain_scores_gemma":[0.9582639,0.008198672,0.014029069,0.010844029,0.0014022044,0.007262175],"candidate_categories":["metaresearch","metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.010942206,0.005639594,0.0022833466,0.0038770016,0.0084383795,0.010433887,0.012941631,0.014463694,0.7378706],"category_scores_gemma":[0.010654787,0.011268853,0.011286126,0.006222673,0.008620063,0.008586397,0.011025246,0.011263166,0.008991096],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0073990333,0.0013840975,0.000031372037,0.0042123795,0.008329917,0.0069537736,0.0047850055,0.0043982076,0.0043541263,0.532187,0.4226206,0.0033444832],"study_design_scores_gemma":[0.010652941,0.008640715,0.00023577301,0.0067397254,0.0103073055,0.0141923865,0.007824388,0.06647198,0.8514905,0.003684053,0.010517266,0.009242945],"about_ca_topic_score_codex":0.008896456,"about_ca_topic_score_gemma":0.0061970074,"teacher_disagreement_score":0.8471364,"about_ca_system_score_codex":0.00015553611,"about_ca_system_score_gemma":0.010189944,"threshold_uncertainty_score":0.9986156},"labels":[],"label_agreement":null},{"id":"W2326845593","doi":"10.1016/j.jalgebra.2016.03.013","title":"Hilbert functions of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">S</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>-stable artinian Gorenstein algebras","year":2016,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quotient; Pure mathematics; Ring (chemistry); Polynomial ring; Polynomial; Scroll; Algebra over a field; Mathematical analysis","score_opus":0.01725495261197173,"score_gpt":0.236999388274105,"score_spread":0.21974443566213325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326845593","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66498184,0.0014308428,0.001450265,0.0013620431,0.0057372362,0.000047566602,0.00018438725,0.00012331708,0.32468247],"genre_scores_gemma":[0.98905927,0.0011093538,0.0028547405,0.0012264809,0.003739883,0.00026293678,0.00015016705,0.00075710315,0.0008400748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.98968196,0.0004938124,0.0030496235,0.0013425254,0.0030764972,0.0023555898],"domain_scores_gemma":[0.989379,0.002163199,0.0042507914,0.0024408041,0.00040443553,0.0013617708],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0023705722,0.0009661661,0.00060414296,0.0006783053,0.0013321557,0.0011392698,0.0022468402,0.002430072,0.5168065],"category_scores_gemma":[0.0025200862,0.001516491,0.0025578337,0.0011314522,0.0013248419,0.0018660782,0.0015240898,0.0019263021,0.0016919204],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014999508,0.0003757602,0.000016512016,0.00083517045,0.0022106469,0.0008802243,0.0018407035,0.0003248792,0.0030393694,0.67390704,0.31342477,0.0016449863],"study_design_scores_gemma":[0.0040653935,0.0031021284,0.00015974062,0.0026327893,0.0027960772,0.0028185407,0.002228591,0.007532973,0.9578093,0.009574833,0.005525679,0.0017539321],"about_ca_topic_score_codex":0.0009425217,"about_ca_topic_score_gemma":0.0006058686,"teacher_disagreement_score":0.95476997,"about_ca_system_score_codex":0.000033919874,"about_ca_system_score_gemma":0.002380131,"threshold_uncertainty_score":0.999968},"labels":[],"label_agreement":null},{"id":"W2329563442","doi":"10.1515/crelle-2014-0059","title":"Classification of irreducible representations of Lie algebra of vector fields on a torus","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":89,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Torus; Lie algebra; Quotient; Weight; Pure mathematics; Simple (philosophy); Irreducible representation; Algebra over a field; Tensor (intrinsic definition); Vector space; Virasoro algebra; Combinatorics; Algebra representation; Cellular algebra; Geometry","score_opus":0.04067713784901151,"score_gpt":0.3386068785696335,"score_spread":0.297929740720622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2329563442","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9737908,0.0015536016,0.01524909,0.0011040336,0.0009819436,0.00029017084,0.000012532334,0.000024470844,0.00699335],"genre_scores_gemma":[0.9922909,0.0009682274,0.005601967,0.00002461807,0.00059084635,0.000004924524,0.0000021324752,0.000049145518,0.00046722734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99670905,0.00023799612,0.0016889708,0.00021933296,0.000848335,0.0002963419],"domain_scores_gemma":[0.9948681,0.0010677472,0.0026060736,0.0005916947,0.00066312036,0.00020323535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011539314,0.00028658708,0.0008877117,0.00038031727,0.00021014556,0.00006654016,0.00050865114,0.0001966171,0.00022540071],"category_scores_gemma":[0.0014936791,0.00021300414,0.00051424565,0.0002910491,0.00012389066,0.00020463769,0.00007303383,0.0005962066,0.0000033800507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035328217,0.00089071546,0.00025162537,0.00075940177,0.00082755217,0.000014592065,0.0035203174,0.00027253703,0.018681986,0.96391106,0.006043733,0.0044732187],"study_design_scores_gemma":[0.0014093494,0.0008504425,0.00049142196,0.0010094593,0.00031960206,0.00020998479,0.0007037993,0.00042053807,0.042956553,0.95056987,0.000833007,0.00022595153],"about_ca_topic_score_codex":0.000012969796,"about_ca_topic_score_gemma":0.0000057385237,"teacher_disagreement_score":0.024274567,"about_ca_system_score_codex":0.00007231653,"about_ca_system_score_gemma":0.00014030909,"threshold_uncertainty_score":0.8686057},"labels":[],"label_agreement":null},{"id":"W2336416450","doi":"10.4153/cmb-2015-080-x","title":"On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Local cohomology; Noetherian ring; Finitely-generated abelian group; Ideal (ethics); Local ring; Noetherian; Pure mathematics; Ring (chemistry); Combinatorics; Discrete mathematics; Algebra over a field","score_opus":0.02741583828653442,"score_gpt":0.25256886041477034,"score_spread":0.2251530221282359,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2336416450","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9852732,0.000114693,0.0030969435,0.0019914268,0.00024266321,0.00030628275,0.000016747555,0.00004092718,0.00891715],"genre_scores_gemma":[0.99650615,0.0000029085397,0.002471222,0.00029761987,0.000049312945,0.000012912661,0.000003058023,0.000032616368,0.0006241781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867755,0.00008031095,0.00036681417,0.00025541455,0.00024704123,0.00037289513],"domain_scores_gemma":[0.9980422,0.00062249816,0.000084039515,0.0003879961,0.00009931507,0.00076392054],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027724972,0.00020580666,0.00046199243,0.00011385108,0.0000684261,0.000017465343,0.00017212135,0.00020740106,0.0010890735],"category_scores_gemma":[0.00080227596,0.00015197444,0.000066625274,0.00008318058,0.00032371082,0.000014458654,0.00006224224,0.00018900234,0.00040913175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017748627,0.000015859428,0.00000822248,0.000054929733,0.000026258062,0.00002105613,0.00024749374,0.000009699121,0.000011302942,0.9812617,0.017952304,0.00037348407],"study_design_scores_gemma":[0.0005237787,0.0001665572,0.00001606657,0.00008498863,0.000037402788,0.000050006296,0.00024649428,0.00037721766,0.00035899915,0.9954087,0.0025506464,0.00017912973],"about_ca_topic_score_codex":0.00065090874,"about_ca_topic_score_gemma":0.0004578393,"teacher_disagreement_score":0.015401658,"about_ca_system_score_codex":0.000110466695,"about_ca_system_score_gemma":0.00014143785,"threshold_uncertainty_score":0.99982405},"labels":[],"label_agreement":null},{"id":"W2339725533","doi":"10.1016/j.jalgebra.2018.10.001","title":"Irreducible modules for equivariant map superalgebras and their extensions","year":2018,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Pró-Reitoria de Pesquisa, Universidade Federal de Minas Gerais; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Lie superalgebra; Equivariant map; Algebraically closed field; Pure mathematics; Homomorphism; Superalgebra; Abelian group; Scheme (mathematics); Type (biology); Algebra over a field; Mathematical analysis; Affine Lie algebra","score_opus":0.045798358982817935,"score_gpt":0.30963710268697736,"score_spread":0.26383874370415944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2339725533","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9832496,0.00065868715,0.012470977,0.0012102958,0.0019556724,0.00021429735,0.000008344115,0.000023474791,0.00020864626],"genre_scores_gemma":[0.9833432,0.000035629022,0.014478374,0.00021302351,0.0016947472,0.0000046404066,7.7921817e-7,0.000037698457,0.00019192767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874234,0.000042855627,0.00053274713,0.00018486056,0.00020470218,0.00029250045],"domain_scores_gemma":[0.99841964,0.00032860375,0.00031499995,0.00028089143,0.00047982996,0.00017606154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004778128,0.00020182639,0.0004375604,0.00012355372,0.00020840413,0.00008098093,0.00025622902,0.00011866274,0.000114255454],"category_scores_gemma":[0.00039138808,0.00013395514,0.00019552719,0.00009309964,0.000140857,0.00023617502,0.00009050081,0.00017799725,0.000003427761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013232687,0.00007272728,0.000025291642,0.000044537865,0.00011183555,0.0000049208024,0.0010786228,6.5261315e-7,0.0031114244,0.98239625,0.01039929,0.0026221187],"study_design_scores_gemma":[0.0009698093,0.0006395888,0.00026007064,0.00008959273,0.000070118775,0.00019896292,0.0003662934,0.00017608875,0.0045486833,0.98819286,0.004323911,0.00016404144],"about_ca_topic_score_codex":0.000004196889,"about_ca_topic_score_gemma":0.0000031885202,"teacher_disagreement_score":0.00607538,"about_ca_system_score_codex":0.000031310512,"about_ca_system_score_gemma":0.00008827378,"threshold_uncertainty_score":0.5462532},"labels":[],"label_agreement":null},{"id":"W2339763958","doi":"10.46298/dmtcs.2870","title":"Words and Noncommutative Invariants of the Hyperoctahedral Group","year":2010,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Combinatorics; Permutation group; Symmetric group; Morphism; Subalgebra; Permutation (music); Algebra over a field; Pure mathematics; Physics","score_opus":0.013484681940819507,"score_gpt":0.27329457899629717,"score_spread":0.25980989705547763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2339763958","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8572752,0.000005809932,0.1381371,0.000282705,0.0007722048,0.0002942597,0.0000043428145,0.00003591489,0.003192492],"genre_scores_gemma":[0.87654847,9.0255014e-7,0.12326869,0.00006961137,0.00008279552,0.0000069411954,2.4804203e-7,0.00001639915,0.0000059206636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811214,0.00006987817,0.00041835004,0.0003435891,0.0007001782,0.0003558521],"domain_scores_gemma":[0.9979026,0.0007986866,0.0002090498,0.00081211334,0.00012282301,0.00015478219],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0010443755,0.00021847582,0.00035011768,0.00006362429,0.00035688322,0.00014031741,0.0012667022,0.00008956176,0.00006886796],"category_scores_gemma":[0.0005721329,0.00012699884,0.00009942911,0.00045584736,0.004483018,0.00018196269,0.0010857031,0.00040498018,0.0000020988452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005901445,0.00005440457,0.000067630885,0.000042246556,0.0000102222775,7.8246444e-7,0.0032517673,7.784508e-7,0.0016632521,0.9944135,0.000007351471,0.00048214238],"study_design_scores_gemma":[0.00025877592,0.0000776008,0.00029565973,0.00006476465,0.000030054374,0.00003293956,0.0001786801,0.025795158,0.0021518117,0.97094434,0.0000049153296,0.0001652707],"about_ca_topic_score_codex":0.0000030863878,"about_ca_topic_score_gemma":0.0000033137972,"teacher_disagreement_score":0.02579438,"about_ca_system_score_codex":0.000012526929,"about_ca_system_score_gemma":0.000075251985,"threshold_uncertainty_score":0.9982262},"labels":[],"label_agreement":null},{"id":"W2344717880","doi":"10.48550/arxiv.1312.2044","title":"Gelfand-Kirillov Dimensions of Modules over Differential Difference Algebras","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Differential (mechanical device); Basis (linear algebra); Dimension (graph theory); Pure mathematics; Type (biology); Automorphism; Algebra over a field; Polynomial; Mathematical analysis; Geometry","score_opus":0.06891227979706288,"score_gpt":0.21192056812783633,"score_spread":0.14300828833077345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2344717880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98395425,0.00005557077,0.01344242,0.000015604663,0.001360822,0.00047962583,0.000049256363,0.00012765727,0.0005147863],"genre_scores_gemma":[0.9975622,0.00016930714,0.00028969388,0.000017085333,0.00016125929,0.0000026551513,0.000022385992,0.000054875236,0.001720534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979515,0.00013639624,0.00041397268,0.0008800809,0.00020238443,0.00041563174],"domain_scores_gemma":[0.9974603,0.00028314308,0.00053796417,0.001295329,0.00021741985,0.00020583175],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000069696805,0.0005304144,0.0008514638,0.0001975984,0.00013804731,0.00004785336,0.00090583984,0.00058589445,0.0006181046],"category_scores_gemma":[0.00009177501,0.0004507277,0.00045883254,0.0001950051,0.00023928138,0.00010024998,0.0016481676,0.00064051826,0.000021005391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056670164,0.00017555984,0.001561247,0.00021200441,0.00029658864,0.00001905142,0.00018690537,0.0010325888,0.00027063655,0.99551445,0.000565953,0.00010832213],"study_design_scores_gemma":[0.00074700796,0.00005384777,0.005518462,0.00017486623,0.00035505433,0.0000014911543,0.000053384567,0.0148105165,0.00041930805,0.9773187,0.000032504624,0.00051485066],"about_ca_topic_score_codex":0.00041063505,"about_ca_topic_score_gemma":0.000028180672,"teacher_disagreement_score":0.018195767,"about_ca_system_score_codex":0.00012019642,"about_ca_system_score_gemma":0.000094790514,"threshold_uncertainty_score":0.9997944},"labels":[],"label_agreement":null},{"id":"W2345868676","doi":"10.1023/a:1022373620471","title":"Quasi-Hereditary Extension Algebras","year":2003,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dual polyhedron; Quadratic algebra; Pure mathematics; Converse; Jordan algebra; Extension (predicate logic); Class (philosophy); Continuation; Algebra over a field; Duality (order theory); Algebra representation; Computer science","score_opus":0.03001101426703689,"score_gpt":0.3012109610397216,"score_spread":0.2711999467726847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2345868676","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9823525,0.0010746773,0.0065723937,0.00017213068,0.0012396511,0.0003408556,0.000002254407,0.00014327675,0.008102256],"genre_scores_gemma":[0.9964903,0.00009291741,0.0016323596,0.00027222282,0.00020381642,0.000023881486,0.000006960255,0.000041135834,0.0012363842],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982313,0.00039127664,0.00035565463,0.0004460722,0.0003025106,0.00027318543],"domain_scores_gemma":[0.998408,0.00074329105,0.0001469262,0.00046998353,0.00009246711,0.00013931138],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057873136,0.00022149518,0.00028403944,0.00008643364,0.0002475783,0.000058020327,0.00012378256,0.0001490774,0.00058481377],"category_scores_gemma":[0.0007015128,0.00017955826,0.00010432168,0.00018448531,0.00014104546,0.00021272973,0.000058788413,0.00017479167,0.000022255577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004350449,0.00009555995,0.00043838588,0.000022278333,0.000056987843,0.000014249399,0.0005544271,0.0000017551974,0.00020691827,0.99439853,0.00150458,0.0026628014],"study_design_scores_gemma":[0.0006649076,0.00009780217,0.0011147249,0.000021522521,0.000062006264,0.00007845197,0.001161409,0.000027204846,0.0027403252,0.9932984,0.00050144235,0.00023179346],"about_ca_topic_score_codex":0.000019133025,"about_ca_topic_score_gemma":0.0000028016893,"teacher_disagreement_score":0.014137818,"about_ca_system_score_codex":0.000019761024,"about_ca_system_score_gemma":0.000037177622,"threshold_uncertainty_score":0.7322174},"labels":[],"label_agreement":null},{"id":"W2351714999","doi":"","title":"PAIRING PROBLEM OF GENERATORS IN AFFINE KAC-MOODY LIE ALGEBRAS","year":2005,"lang":"en","type":"article","venue":"Chinese Annals of Mathematics,series A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Affine Lie algebra; Affine transformation; Lie algebra; Pairing; Kac–Moody algebra; Pure mathematics; Lie conformal algebra; Algebra over a field; Type (biology); Affine representation; Adjoint representation of a Lie algebra; Current algebra; Physics","score_opus":0.047332820340642255,"score_gpt":0.322640726093299,"score_spread":0.2753079057526568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2351714999","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9954826,0.00045484543,0.00024469578,0.0008005629,0.00012749614,0.0004307956,0.000011513398,0.000068225876,0.002379249],"genre_scores_gemma":[0.96224815,0.00010014672,0.036946382,0.000057032303,0.0002558284,0.000035744135,0.0000038318935,0.00006573399,0.00028717544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974979,0.000054652275,0.0013000717,0.00028742212,0.00045924296,0.0004006835],"domain_scores_gemma":[0.99807143,0.00029479363,0.00063406787,0.0006423667,0.00025443733,0.00010290786],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00062518613,0.00038225978,0.0010332416,0.00021821204,0.000053399086,0.000025569014,0.00046866015,0.0001681196,0.00022797892],"category_scores_gemma":[0.00056815834,0.00029804875,0.0002505356,0.00043308432,0.00013808106,0.0003194984,0.00020635324,0.0001946134,0.0000067036744],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000776585,0.0009863484,0.001905189,0.0019332606,0.00017238809,0.000005796535,0.00797699,0.00024083188,0.002251624,0.9816199,0.001124361,0.0017056507],"study_design_scores_gemma":[0.0005954174,0.00015777026,0.000364184,0.00032292205,0.000025273073,0.000010452632,0.0004143432,0.00032702516,0.027694594,0.96958995,0.0002043209,0.0002937388],"about_ca_topic_score_codex":0.000026364361,"about_ca_topic_score_gemma":0.000114146045,"teacher_disagreement_score":0.036701687,"about_ca_system_score_codex":0.00002156401,"about_ca_system_score_gemma":0.000068230926,"threshold_uncertainty_score":0.9999472},"labels":[],"label_agreement":null},{"id":"W2355916829","doi":"","title":"Excellent Extensions of Rings and Gorenstein Homological Dimension on Smash Product","year":2009,"lang":"en","type":"article","venue":"Journal of Gansu Normal Colleges","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Dimension (graph theory); Mathematics; Pure mathematics; Global dimension; Product (mathematics); Local ring; Ring (chemistry); Geometry","score_opus":0.026260086156118467,"score_gpt":0.27824002849717644,"score_spread":0.25197994234105797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2355916829","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99746925,0.0004572987,0.000039000544,0.0009910689,0.00038391943,0.0001378035,0.0000019491756,0.00001023668,0.0005094989],"genre_scores_gemma":[0.9975786,0.00013039519,0.0018297582,0.00008830931,0.00019903535,6.173171e-7,1.836141e-7,0.000009071622,0.00016402015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868053,0.000066755274,0.00054271263,0.00013816947,0.0003939049,0.00017793274],"domain_scores_gemma":[0.9988312,0.00020985732,0.00043235836,0.0001756022,0.00024003707,0.00011093991],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003171487,0.00015671302,0.0004500244,0.00011538573,0.00009639847,0.000015400956,0.0001436003,0.00008292563,0.000028067256],"category_scores_gemma":[0.000259855,0.00010436077,0.00012329193,0.00012042882,0.000069099224,0.00008740326,0.000043682903,0.0002685815,6.3344805e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0025666845,0.0015085076,0.0034346927,0.00017776256,0.00021603078,0.00041934903,0.0017109844,0.00019252223,0.022036826,0.9475424,0.012041353,0.008152844],"study_design_scores_gemma":[0.0034262904,0.0076925177,0.0663335,0.00057620154,0.00022871236,0.00072090945,0.000442869,0.00008445475,0.039632466,0.8793965,0.001023554,0.0004420162],"about_ca_topic_score_codex":0.0000031533277,"about_ca_topic_score_gemma":0.0000010710486,"teacher_disagreement_score":0.06814594,"about_ca_system_score_codex":0.00002707022,"about_ca_system_score_gemma":0.00004286954,"threshold_uncertainty_score":0.42557085},"labels":[],"label_agreement":null},{"id":"W2375954666","doi":"10.14288/1.0042775","title":"Twisted Loop Algebras Based on Conformal Superalgebras","year":2014,"lang":"en","type":"article","venue":"cIRcle (University of British Columbia)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Conformal map; Algebra over a field; Loop (graph theory); Pure mathematics; Mathematics; Combinatorics; Mathematical analysis","score_opus":0.012129627075166375,"score_gpt":0.19485575401087002,"score_spread":0.18272612693570364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2375954666","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9914714,0.000010931965,0.002024138,0.000083214225,0.00034429476,0.0002369479,0.000033010918,0.00013897684,0.0056570554],"genre_scores_gemma":[0.9981905,0.000003862449,0.00079482695,0.00020674425,0.00006917402,6.1894804e-7,0.000016524471,0.000026732927,0.0006909663],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99860406,0.0000913595,0.00018965927,0.00036273684,0.00042189314,0.00033028176],"domain_scores_gemma":[0.9987968,0.00022038881,0.00015228946,0.0004838267,0.00018019268,0.000166496],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023756368,0.000083210005,0.00039813528,0.000054462937,0.00024489468,0.0000932168,0.0004468677,0.00018585009,0.0004795203],"category_scores_gemma":[0.00013597516,0.00026148892,0.00019835203,0.00021328063,0.00021618849,0.000197626,0.00009414911,0.00019895419,0.000029550782],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040865573,0.0016514771,0.021668687,0.0011505936,0.00046060805,0.0003175319,0.0012266767,0.00016448917,0.00042989067,0.15275711,0.04407483,0.7756894],"study_design_scores_gemma":[0.0049179564,0.00056686345,0.598062,0.0002779311,0.00012086668,0.000032699874,0.0005017365,0.005092242,0.000012414501,0.38887867,0.0008951186,0.00064154324],"about_ca_topic_score_codex":0.011646189,"about_ca_topic_score_gemma":0.015893927,"teacher_disagreement_score":0.7750479,"about_ca_system_score_codex":0.000060840794,"about_ca_system_score_gemma":0.00008127328,"threshold_uncertainty_score":0.9999837},"labels":[],"label_agreement":null},{"id":"W2400350210","doi":"10.1007/s00031-019-09514-x","title":"REPRESENTATIONS OF TWISTED YANGIANS OF TYPES B, C, D: II","year":2019,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Pure mathematics; Type (biology); Combinatorics; Algebra over a field; Biology; Ecology","score_opus":0.019598352226728764,"score_gpt":0.2825537063980037,"score_spread":0.2629553541712749,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2400350210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9784756,0.000019282828,0.0067192693,0.0000958451,0.00021494084,0.00028770155,0.000012153473,0.000030898093,0.014144359],"genre_scores_gemma":[0.99895155,0.000005915449,0.00081019796,0.000010877423,0.000015503254,0.000005295392,0.000012515385,0.000008665061,0.00017949051],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926245,0.00002156289,0.00036724366,0.000070185146,0.00019643335,0.00008213021],"domain_scores_gemma":[0.9994662,0.000078200705,0.00013795146,0.0002033713,0.00009332796,0.000020951662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000094600255,0.00006911036,0.00018337154,0.00006645124,0.000029825245,0.000003546907,0.000103054364,0.0000566272,0.0003141928],"category_scores_gemma":[0.000020073196,0.000060861825,0.000083336345,0.00015509599,0.000025132425,0.00016245944,0.000009860342,0.00005182677,0.000008402631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026852846,0.000045763692,0.00017707658,0.00018361528,0.000033285807,4.6516433e-8,0.0067823096,0.00006929474,0.001773415,0.99039984,0.00006751032,0.000440974],"study_design_scores_gemma":[0.0011919496,0.00017399978,0.0015399763,0.000056657074,0.00006325681,0.0000027189988,0.0010753416,0.0009385808,0.022933431,0.97159785,0.00029865073,0.00012756705],"about_ca_topic_score_codex":0.000024743977,"about_ca_topic_score_gemma":0.0000050619383,"teacher_disagreement_score":0.021160016,"about_ca_system_score_codex":0.000010333847,"about_ca_system_score_gemma":0.000017816688,"threshold_uncertainty_score":0.3440191},"labels":[],"label_agreement":null},{"id":"W2401774783","doi":"10.1088/1751-8121/aa993a","title":"Restriction and induction of indecomposable modules over the Temperley–Lieb algebras","year":2017,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Indecomposable module; Mathematics; Injective function; Isomorphism (crystallography); Completeness (order theory); Mathematical proof; Combinatorics; Simple module; Discrete mathematics; Pure mathematics; Simple (philosophy); Crystallography","score_opus":0.022368180723206645,"score_gpt":0.29149923539928074,"score_spread":0.2691310546760741,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2401774783","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99524283,0.00005242435,0.0031925435,0.00076536264,0.00018076121,0.000100211335,0.0000016160636,0.000004797704,0.00045944357],"genre_scores_gemma":[0.9978845,0.00007339842,0.0017250379,0.000029061703,0.0002648695,0.0000017254506,1.201959e-7,0.0000134388065,0.000007842165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998907,0.0000661712,0.00043776567,0.00010815615,0.00034621035,0.00013464443],"domain_scores_gemma":[0.9984571,0.00051361666,0.0005178356,0.0002992396,0.00012288011,0.000089337984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005433861,0.0001332897,0.0003777673,0.000027630142,0.00023959453,0.000114233946,0.00022444893,0.000086751854,0.0000368976],"category_scores_gemma":[0.0005782682,0.00007324019,0.00010334879,0.000038138907,0.0008059807,0.00020391584,0.00013433825,0.00029245342,5.641964e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051624167,0.000109197266,0.00013980713,0.00006879985,0.00006595249,0.000001803173,0.00026374796,6.725601e-7,0.00035996336,0.9973694,0.00010284208,0.0014661598],"study_design_scores_gemma":[0.00050236686,0.00016907342,0.001466333,0.00012042407,0.000107481574,0.000066055974,0.00011841365,0.0007746471,0.0011863397,0.9953908,0.00001663196,0.00008148143],"about_ca_topic_score_codex":0.0000018540231,"about_ca_topic_score_gemma":1.1311161e-7,"teacher_disagreement_score":0.0026416662,"about_ca_system_score_codex":0.0000114369095,"about_ca_system_score_gemma":0.000022434304,"threshold_uncertainty_score":0.2986648},"labels":[],"label_agreement":null},{"id":"W2415565995","doi":"10.1016/j.jpaa.2016.12.008","title":"Cluster-tilted and quasi-tilted algebras","year":2016,"lang":"en","type":"preprint","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; University of Connecticut; National Science Foundation","keywords":"Euclidean geometry; Cluster (spacecraft); Type (biology); Relation (database); Mathematics; Reflection (computer programming); Pure mathematics; Sequence (biology); Algebra over a field; Euclidean distance; Cluster algebra; Physics; Geometry; Computer science; Quantum mechanics; Quantum; Geology","score_opus":0.021352074260728188,"score_gpt":0.2727309052705399,"score_spread":0.25137883100981173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2415565995","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98662174,0.0018463674,0.0058201626,0.0016435551,0.0016507645,0.0005953792,0.000024336125,0.000064141146,0.0017335333],"genre_scores_gemma":[0.99425906,0.0004999172,0.0029192676,0.00033100817,0.0017385547,0.000016675202,0.0000040575374,0.00008953147,0.00014190703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971751,0.00009852978,0.0011707188,0.00049365754,0.0006354083,0.00042658002],"domain_scores_gemma":[0.99686646,0.0005296693,0.0014740219,0.0004652479,0.00030248633,0.00036208794],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006319775,0.0006139222,0.0013213682,0.00026189908,0.00015169579,0.00021673061,0.0005103628,0.00074232393,0.000096369855],"category_scores_gemma":[0.00021753355,0.00041973905,0.00026786613,0.000107228174,0.00017142505,0.00012166852,0.00077638443,0.0012075977,0.00000356899],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034226413,0.00015047104,0.00011421284,0.0005955591,0.0006354984,0.000026793548,0.00096919795,0.0000015799445,0.0006915288,0.9813498,0.0073134275,0.0078096157],"study_design_scores_gemma":[0.0019917886,0.00017848013,0.00022919486,0.00045232143,0.0003827514,0.0001814965,0.00019126861,0.000017713763,0.000805779,0.9943176,0.00075928774,0.0004923207],"about_ca_topic_score_codex":0.0000032459998,"about_ca_topic_score_gemma":0.0000032016992,"teacher_disagreement_score":0.012967746,"about_ca_system_score_codex":0.000064786254,"about_ca_system_score_gemma":0.000182396,"threshold_uncertainty_score":0.9998254},"labels":[],"label_agreement":null},{"id":"W2429349716","doi":"10.1016/j.jalgebra.2013.07.023","title":"Irreducible Virasoro modules from tensor products (II)","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Tensor product; Mathematics; Tensor product of modules; Tensor (intrinsic definition); Pure mathematics; Tensor product of Hilbert spaces; Virasoro algebra; Product (mathematics); Tensor product of algebras; Algebra over a field; Tensor contraction; Geometry; Algebra representation","score_opus":0.026947678245904882,"score_gpt":0.25948666484329025,"score_spread":0.23253898659738537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2429349716","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9947509,0.000541801,0.00023648865,0.0018499781,0.0017913268,0.00020329567,0.0000030832846,0.00003137296,0.000591717],"genre_scores_gemma":[0.98366654,0.000036396188,0.0138148265,0.00016022546,0.0016591271,0.0000057620646,0.0000011030555,0.000039174276,0.00061684084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982741,0.000059634385,0.000667358,0.00020951587,0.0005094398,0.00027994276],"domain_scores_gemma":[0.99811864,0.00019211532,0.0005884674,0.00042534436,0.0005164616,0.00015897649],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022135052,0.00021238888,0.0004680277,0.00010880757,0.0001275862,0.00009755407,0.0004443419,0.00012230729,0.00085707166],"category_scores_gemma":[0.00061740715,0.00015264479,0.00017584518,0.00016667311,0.000053737982,0.0004812472,0.000104516796,0.0003399278,0.000051353818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018215204,0.0008590304,0.0010631803,0.0001283429,0.00093299255,0.00005916753,0.0035702116,0.000047760535,0.031654328,0.7067277,0.24023971,0.014535463],"study_design_scores_gemma":[0.00067004055,0.00022528552,0.0027822347,0.00007155458,0.00007923722,0.000054401648,0.00018361497,0.00004933917,0.010608629,0.9833387,0.0017476759,0.00018926077],"about_ca_topic_score_codex":0.00006687743,"about_ca_topic_score_gemma":0.0000013371626,"teacher_disagreement_score":0.27661106,"about_ca_system_score_codex":0.000055887584,"about_ca_system_score_gemma":0.000091254646,"threshold_uncertainty_score":0.93843335},"labels":[],"label_agreement":null},{"id":"W2431273369","doi":"10.1134/s2070046619030051","title":"Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples","year":2019,"lang":"en","type":"preprint","venue":"P-Adic Numbers Ultrametric Analysis and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Perimeter Institute","funders":"","keywords":"TRACE (psycholinguistics); Action (physics); Supersymmetry; Spectral properties; Mathematics; Pure mathematics; Spectral analysis; Algebra over a field; Physics; Mathematical physics; Quantum mechanics; Linguistics; Philosophy; Spectroscopy","score_opus":0.020997782730530556,"score_gpt":0.2948715160429467,"score_spread":0.27387373331241616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2431273369","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82609916,0.00897087,0.15595886,0.00037425605,0.0004371977,0.0020820315,0.0002783029,0.00028010356,0.0055192164],"genre_scores_gemma":[0.9882043,0.0024292637,0.0076999846,0.000081177124,0.0003332498,0.00023637089,0.00017653713,0.00005487434,0.0007842452],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971308,0.000092114824,0.0007364493,0.0011254906,0.0004773365,0.00043781925],"domain_scores_gemma":[0.9971338,0.0008729958,0.00049377594,0.0010618601,0.00013605495,0.0003014969],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00038490957,0.00053499884,0.0012696475,0.0010855407,0.0002871302,0.00030418727,0.00045110242,0.00054877,0.0001366271],"category_scores_gemma":[0.00019411439,0.00048100064,0.00051727524,0.0030682508,0.00023097452,0.000081797094,0.00028306595,0.0007880592,0.000010035411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025469615,0.00035413442,0.06765408,0.0006456925,0.006289861,0.0000029679913,0.0005894908,0.00019465368,0.000029562925,0.89995474,0.0016360607,0.022623295],"study_design_scores_gemma":[0.0007950159,0.000043976113,0.012425037,0.000059016555,0.009492881,0.000014570645,0.0007078658,0.0026639337,0.00009408124,0.968241,0.004401959,0.001060679],"about_ca_topic_score_codex":0.0006709071,"about_ca_topic_score_gemma":0.00005562524,"teacher_disagreement_score":0.16210513,"about_ca_system_score_codex":0.00012444226,"about_ca_system_score_gemma":0.00011973063,"threshold_uncertainty_score":0.99976414},"labels":[],"label_agreement":null},{"id":"W2431296028","doi":"10.1016/j.aim.2017.04.026","title":"Superconformal minimal models and admissible Jack polynomials","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Fonds de recherche du Québec – Nature et technologies; Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Vertex (graph theory); Pure mathematics; Polynomial; Mathematical proof; Symmetric function; Algebra over a field; Realisation; Field (mathematics); Operator (biology); Combinatorics; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.06156025779168841,"score_gpt":0.35470737524587365,"score_spread":0.29314711745418526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2431296028","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91823494,0.013153908,0.010486162,0.00026366708,0.0031884057,0.0020608085,0.00010078066,0.00025103093,0.05226032],"genre_scores_gemma":[0.9096244,0.003995947,0.08485139,0.000041622043,0.00041154295,0.00014243466,0.000013521216,0.00011870236,0.0008004465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973287,0.000048515445,0.0010045149,0.00059659866,0.00046966504,0.00055202795],"domain_scores_gemma":[0.99711585,0.00052045955,0.00071868923,0.0013703837,0.00009730832,0.00017732715],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00056094764,0.0006102229,0.0012312004,0.00016607245,0.00018230604,0.00025553923,0.0009713353,0.0005838888,0.000081931794],"category_scores_gemma":[0.00051154016,0.00054708275,0.00017746657,0.00005039861,0.00022165854,0.00076426484,0.0013036657,0.0007892063,0.0000059922236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042774944,0.00016122678,0.00012073202,0.003396742,0.00006984706,0.000022355523,0.004255426,0.0006587409,0.000009643078,0.9864862,0.0001988699,0.0045774286],"study_design_scores_gemma":[0.00063361996,0.0000418314,0.000016127758,0.0008904983,0.00007780433,0.000022547038,0.0004897633,0.017068207,0.0001322036,0.979613,0.00043602145,0.00057836715],"about_ca_topic_score_codex":0.0000229678,"about_ca_topic_score_gemma":0.000033537515,"teacher_disagreement_score":0.07436523,"about_ca_system_score_codex":0.0000897616,"about_ca_system_score_gemma":0.00019681627,"threshold_uncertainty_score":0.99969804},"labels":[],"label_agreement":null},{"id":"W2434896206","doi":"10.1063/1.4954909","title":"Adjoint affine fusion and tadpoles","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Affine transformation; Fusion; Mathematics; Pure mathematics; Physics; Philosophy; Linguistics","score_opus":0.03179832259112199,"score_gpt":0.28309500642098356,"score_spread":0.2512966838298616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2434896206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9040058,0.00009143565,0.092793725,0.0012119624,0.00028881105,0.000105651416,0.0000019083263,0.000022121298,0.0014785437],"genre_scores_gemma":[0.98907006,0.0000378908,0.010027247,0.000040517054,0.0006128077,0.0000010557158,4.7053405e-8,0.000020843712,0.00018953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890167,0.000036759342,0.00046194784,0.000088844026,0.00035706416,0.0001537061],"domain_scores_gemma":[0.99858963,0.0006507944,0.00033574272,0.00017068812,0.00013427838,0.00011883311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002865107,0.00013378916,0.00038087126,0.000028985563,0.00004246595,0.000023083237,0.00014197768,0.00006279952,0.00014089645],"category_scores_gemma":[0.00047837087,0.00006785257,0.00012788258,0.00005656762,0.00007904348,0.00015303209,0.00008000973,0.00012056662,0.000009537257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030220865,0.000111892106,0.000014755516,0.00007227859,0.000036949437,0.000006118464,0.0001800014,3.064437e-7,0.0028637645,0.98246014,0.00091995153,0.013303614],"study_design_scores_gemma":[0.00070041185,0.00014515953,0.000049033733,0.0002877858,0.000055986908,0.00007569177,0.000042155087,0.00003309807,0.0032995865,0.9950231,0.00018794785,0.00010008376],"about_ca_topic_score_codex":2.168341e-7,"about_ca_topic_score_gemma":9.302535e-8,"teacher_disagreement_score":0.08506422,"about_ca_system_score_codex":0.00002950419,"about_ca_system_score_gemma":0.000028241646,"threshold_uncertainty_score":0.27669474},"labels":[],"label_agreement":null},{"id":"W2460346453","doi":"10.1016/j.jalgebra.2016.12.010","title":"The representation dimension of a selfinjective algebra of wild tilted type","year":2017,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Dimension (graph theory); Representation (politics); Type (biology); Generator (circuit theory); Algebra over a field; Mathematics; Pure mathematics; Component (thermodynamics); Physics; Power (physics); Geology","score_opus":0.04537393448168697,"score_gpt":0.33887038184215496,"score_spread":0.293496447360468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2460346453","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99306774,0.0012249415,0.00040226322,0.00035032062,0.003842178,0.00039326597,0.000008208886,0.000013028222,0.0006980426],"genre_scores_gemma":[0.9970827,0.0005031689,0.001727879,0.000014310414,0.00046623452,0.0000033164588,0.000003078037,0.000045002995,0.00015428169],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969254,0.0002428363,0.0014180685,0.00024624637,0.0009462074,0.00022122059],"domain_scores_gemma":[0.9905142,0.000926351,0.005646516,0.0011004265,0.0017197477,0.00009274987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009841981,0.00030373863,0.0010149111,0.00017337535,0.00017806831,0.00007236242,0.001009394,0.0003796371,0.00003140664],"category_scores_gemma":[0.0022878502,0.00019964363,0.00052646414,0.00013795949,0.00021108375,0.00014937803,0.0005724563,0.0009046115,0.0000012942401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0035946441,0.0006712868,0.0020963035,0.0011056416,0.0046290536,0.00006900012,0.009342263,0.00052716024,0.0053525483,0.9443134,0.019077245,0.009221473],"study_design_scores_gemma":[0.0007822484,0.00040197556,0.0020632264,0.00067126885,0.00041957633,0.000046483266,0.0002760445,0.00013471975,0.010880397,0.9840216,0.00012292429,0.00017953511],"about_ca_topic_score_codex":0.0000683098,"about_ca_topic_score_gemma":0.000007602106,"teacher_disagreement_score":0.03970822,"about_ca_system_score_codex":0.00009373027,"about_ca_system_score_gemma":0.00048913603,"threshold_uncertainty_score":0.81412315},"labels":[],"label_agreement":null},{"id":"W2461958317","doi":"10.1007/s10468-011-9320-4","title":"Central Extensions of Matrix Lie Superalgebras Over $\\mathbb{Z}/2\\mathbb{Z}$ -graded Algebras","year":2011,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Lie superalgebra; Commutative property; Superalgebra; Pure mathematics; Graded Lie algebra; Center (category theory); Lie algebra; Algebra over a field; Affine Lie algebra; Current algebra; Chemistry; Crystallography","score_opus":0.04483365569197123,"score_gpt":0.3080469748121782,"score_spread":0.26321331912020696,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2461958317","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99347216,0.00081580057,0.0018205873,0.0000748211,0.0008996647,0.00057974516,0.000015413878,0.0001704003,0.002151386],"genre_scores_gemma":[0.9959986,0.0002275088,0.0024800005,0.00015201702,0.00021677677,0.000038014277,0.00001866647,0.00008196834,0.0007864551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970171,0.00034779872,0.0008838562,0.0006409004,0.0005226678,0.0005877135],"domain_scores_gemma":[0.99760926,0.00069166237,0.00041172624,0.00081723,0.00017826576,0.00029184885],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047792998,0.00042708588,0.00066928845,0.00022075853,0.0002605125,0.000055245826,0.00037140274,0.0002859186,0.0014701373],"category_scores_gemma":[0.000427565,0.00035268196,0.0002978957,0.00036648448,0.000409213,0.00039190933,0.00023614294,0.00029545886,0.000014313133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020698777,0.0002050651,0.0045636576,0.00008613029,0.00020423722,0.000016916269,0.00462354,0.0000010655833,0.0015948793,0.98689,0.00067018985,0.0009373303],"study_design_scores_gemma":[0.0012628788,0.00013223157,0.027351396,0.000064089414,0.00021379767,0.000047805333,0.0013826742,0.000044442684,0.011733074,0.9573165,0.000058354388,0.0003927414],"about_ca_topic_score_codex":0.00016454897,"about_ca_topic_score_gemma":0.000009443055,"teacher_disagreement_score":0.029573487,"about_ca_system_score_codex":0.000034028537,"about_ca_system_score_gemma":0.000080792845,"threshold_uncertainty_score":0.99989253},"labels":[],"label_agreement":null},{"id":"W2464374955","doi":"10.1007/s40863-016-0044-6","title":"Representation theory of $$\\mathbb {Z}^n$$ Z n -graded Lie algebras","year":2016,"lang":"en","type":"article","venue":"São Paulo Journal of Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Representation theory; Mathematics; Representation (politics); Pure mathematics; Fundamental representation; Lie algebra; Physics; Algebra over a field; Political science","score_opus":0.07769146942348389,"score_gpt":0.341701667497576,"score_spread":0.26401019807409215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2464374955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97238743,0.00013599746,0.024299521,0.00052358734,0.00040666008,0.00014199247,0.000001623231,0.000018303583,0.0020848643],"genre_scores_gemma":[0.9894752,0.00003398095,0.010113775,0.00002863381,0.00016941207,0.0000025227082,4.9212463e-8,0.000011974671,0.00016447507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972663,0.00023446848,0.0009964835,0.00017991863,0.0010484651,0.00027438492],"domain_scores_gemma":[0.9957519,0.002691456,0.0009274177,0.00025684288,0.00022914282,0.00014320863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025930607,0.00016273127,0.0005393979,0.0001476509,0.0001076901,0.000039482733,0.00066085806,0.000089052664,0.00065248396],"category_scores_gemma":[0.0033147375,0.00007994594,0.00024740666,0.00036854425,0.00045977955,0.0003582189,0.00008923914,0.00012113721,0.000013501569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004293102,0.00012058714,0.00011672881,0.000052459734,0.000049656166,0.0000065720246,0.00083201774,0.000001024197,0.0031510605,0.9915532,0.0002998721,0.0037739326],"study_design_scores_gemma":[0.0005423276,0.00032457075,0.00026786778,0.000308289,0.00006453098,0.000107464686,0.0010876616,0.000012562353,0.012010455,0.98514616,0.000013701059,0.00011441012],"about_ca_topic_score_codex":6.5064154e-7,"about_ca_topic_score_gemma":7.564951e-7,"teacher_disagreement_score":0.017087728,"about_ca_system_score_codex":0.00003227943,"about_ca_system_score_gemma":0.0001130393,"threshold_uncertainty_score":0.7144242},"labels":[],"label_agreement":null},{"id":"W2468713241","doi":"10.3204/pubdb-2016-06688","title":"Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Deutsches Elektronen-Synchrotron","keywords":"Tridiagonal matrix; Orthogonal polynomials; Mathematics; Subalgebra; Classical orthogonal polynomials; Pure mathematics; Discrete orthogonal polynomials; Order (exchange); Generalization; Tridiagonal matrix algorithm; Algebra over a field; Wilson polynomials; Realization (probability); Physics; Mathematical analysis; Quantum mechanics","score_opus":0.08599517729206815,"score_gpt":0.21991829697425347,"score_spread":0.13392311968218532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2468713241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9867837,0.00022365712,0.006539111,0.00032315578,0.0019404981,0.00049013173,0.00008482186,0.00021847601,0.0033964831],"genre_scores_gemma":[0.99131876,0.00016120292,0.0003402262,0.00014148052,0.0006440907,0.0000034373122,0.000016698472,0.000077102304,0.00729697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99756926,0.00021303337,0.00038128736,0.0011364537,0.00017554026,0.00052443624],"domain_scores_gemma":[0.99767464,0.00056680595,0.00040016606,0.00089550065,0.0001678782,0.0002949804],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026607307,0.00058349845,0.0007410838,0.00020623232,0.00020319353,0.0000812902,0.0006137367,0.00071424805,0.0007442351],"category_scores_gemma":[0.00012670181,0.0005196709,0.0003012044,0.0002319213,0.00027756256,0.00016408366,0.0011534605,0.00062603515,0.00003815717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014965949,0.00007705912,0.0019089858,0.000099827615,0.00032814886,0.00011488314,0.00006662892,0.00007686401,0.000040170973,0.99402595,0.002876967,0.0002348813],"study_design_scores_gemma":[0.0014156932,0.000045507306,0.0020270364,0.00013393727,0.00028906701,0.0000074067034,0.00002326197,0.00016869415,0.00009197557,0.9936371,0.0014841277,0.00067619816],"about_ca_topic_score_codex":0.000049322916,"about_ca_topic_score_gemma":0.000019745958,"teacher_disagreement_score":0.0061988845,"about_ca_system_score_codex":0.00017498116,"about_ca_system_score_gemma":0.00027943263,"threshold_uncertainty_score":0.99972546},"labels":[],"label_agreement":null},{"id":"W2474192059","doi":"10.1112/plms.12077","title":"An affine quantum cohomology ring for flag manifolds and the periodic Toda lattice","year":2017,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"National Security Agency; Simons Foundation","keywords":"Quantum cohomology; Flag (linear algebra); Cohomology ring; Generalized flag variety; Affine transformation; Quantum; Cohomology; Ring (chemistry)","score_opus":0.026962493884171893,"score_gpt":0.29781469825314755,"score_spread":0.27085220436897567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2474192059","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9938794,0.00009844848,0.0006859545,0.0029765721,0.00021046704,0.0009203084,0.0000051169204,0.00004836502,0.0011753959],"genre_scores_gemma":[0.9915829,0.000028782966,0.007645892,0.00013898675,0.00021347098,0.000081330596,2.9199788e-7,0.00003580412,0.00027257294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986741,0.000011454547,0.00040404833,0.00027940437,0.0003078506,0.00032313218],"domain_scores_gemma":[0.9981414,0.00061631534,0.00052356685,0.0004414768,0.00020055979,0.000076653036],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011394427,0.00022327177,0.000532083,0.000008991575,0.0009921413,0.00024371438,0.0010687964,0.00018411782,0.000029954275],"category_scores_gemma":[0.0011399223,0.00011797274,0.0003462053,0.000043783624,0.00081418245,0.00020433647,0.00041593515,0.00023576211,0.0000011370961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000815809,0.00006020222,0.00021049821,0.0005650193,0.000085675114,6.199283e-8,0.002508127,1.8909802e-7,0.0007990405,0.9950566,0.00047717238,0.00015579312],"study_design_scores_gemma":[0.0019605123,0.00007709215,0.00036473342,0.000096538606,0.00021883624,0.000019746287,0.0006953715,0.00816955,0.0018223751,0.98634106,0.00008426157,0.00014993691],"about_ca_topic_score_codex":0.000013878693,"about_ca_topic_score_gemma":0.0000012595815,"teacher_disagreement_score":0.008715595,"about_ca_system_score_codex":0.000028259827,"about_ca_system_score_gemma":0.0000199122,"threshold_uncertainty_score":0.7630849},"labels":[],"label_agreement":null},{"id":"W2477012636","doi":"10.1090/ulect/051/05","title":"The hyperbolic GAF","year":2009,"lang":"en","type":"book-chapter","venue":"University lecture series","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geology; Computer science","score_opus":0.013330320717495413,"score_gpt":0.20003534686298266,"score_spread":0.18670502614548726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2477012636","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0004353724,0.0008452303,0.0001413377,0.0015750865,0.0008898647,0.00031552938,0.000016988113,0.0002225636,0.995558],"genre_scores_gemma":[0.010404157,0.00066260144,0.00027505655,0.00013373487,0.0004845261,1.4884868e-7,0.000009665522,0.0000475144,0.9879826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912614,0.000014640919,0.00012374452,0.00025370426,0.00025289296,0.00022885465],"domain_scores_gemma":[0.9990323,0.00015592895,0.00014658242,0.0004993162,0.00009817204,0.00006766527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000050691626,0.00031755774,0.00032174293,0.00005927572,0.00058228505,0.000053313193,0.0004670606,0.00040470064,0.00021027023],"category_scores_gemma":[0.00003933865,0.00023676302,0.00021231611,0.000033501183,0.00018891695,0.00007391557,0.00011245656,0.0004743032,0.000022015953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006305994,0.00000266647,2.3064155e-7,0.00001169088,0.000083039595,0.000027937418,0.00020436617,0.000001241523,0.0000020854432,0.9893407,0.0065511814,0.00371177],"study_design_scores_gemma":[0.000084493215,0.000039732036,0.0000016992997,0.000018997005,0.00006692904,0.000012205859,0.000024627183,3.734783e-7,0.000015048513,0.5316073,0.4679827,0.00014595134],"about_ca_topic_score_codex":0.000007825818,"about_ca_topic_score_gemma":0.00012632244,"teacher_disagreement_score":0.4614315,"about_ca_system_score_codex":0.00011443688,"about_ca_system_score_gemma":0.00009811915,"threshold_uncertainty_score":0.9654916},"labels":[],"label_agreement":null},{"id":"W2479594252","doi":"10.1007/s40863-016-0047-3","title":"Hochschild cohomology: some applications in representation theory of algebras","year":2016,"lang":"en","type":"article","venue":"São Paulo Journal of Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Cohomology; Representation (politics); Mathematics; Algebra over a field; Representation theory; Pure mathematics","score_opus":0.046591068999252666,"score_gpt":0.335089560170998,"score_spread":0.2884984911717453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2479594252","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96550405,0.00016624757,0.03256411,0.0005385297,0.00015745439,0.0002138274,0.0000018672717,0.000009736612,0.0008441757],"genre_scores_gemma":[0.9939079,0.000030222956,0.00584061,0.000025322843,0.0001297891,0.000008091432,7.880409e-8,0.000007169018,0.00005081245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981244,0.00018309911,0.00079708925,0.00015194512,0.00054011325,0.00020335025],"domain_scores_gemma":[0.9966711,0.0023195834,0.00061236025,0.00019965018,0.00011540555,0.000081939186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019506089,0.00011307763,0.00040176138,0.00016960748,0.00007153679,0.00001752368,0.00050436606,0.00007730739,0.0001660497],"category_scores_gemma":[0.0013867471,0.00005817103,0.00012482174,0.00031509358,0.00041832207,0.00030565308,0.00006580899,0.000116356576,0.000005377044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020371386,0.00012935502,0.00080076343,0.000029233317,0.000019662746,0.0000024015046,0.0005258795,0.0000029672658,0.00054696936,0.99639815,0.000051990854,0.0014722709],"study_design_scores_gemma":[0.000429533,0.00015503024,0.0010183266,0.00015312084,0.000028722838,0.000044864883,0.00090786413,0.00001162967,0.0030956592,0.9940701,0.000007678552,0.000077441546],"about_ca_topic_score_codex":0.0000011029111,"about_ca_topic_score_gemma":0.0000021316907,"teacher_disagreement_score":0.028403852,"about_ca_system_score_codex":0.000032214277,"about_ca_system_score_gemma":0.0000896621,"threshold_uncertainty_score":0.23721458},"labels":[],"label_agreement":null},{"id":"W2480853715","doi":"10.4310/atmp.2018.v22.n6.a1","title":"Cut-and-join description of generalized Brezin–Gross–Witten model","year":2018,"lang":"en","type":"article","venue":"Advances in Theoretical and Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Korteweg–de Vries equation; Limit (mathematics); Partition (number theory); Genus; Zero (linguistics); Polynomial","score_opus":0.02115530822934357,"score_gpt":0.29871956839825703,"score_spread":0.27756426016891345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2480853715","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7006979,0.00027166822,0.29112542,0.00012057977,0.00014947953,0.00027447476,0.000005548415,0.000045113055,0.007309835],"genre_scores_gemma":[0.96735775,0.00016114861,0.032127716,0.00008813612,0.00016442334,0.000018086877,0.0000010876523,0.000023540777,0.000058124322],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987504,0.000055031796,0.00041967677,0.00027087113,0.00024055497,0.00026349025],"domain_scores_gemma":[0.99906874,0.00037633092,0.00010310772,0.0002469442,0.00010637736,0.000098477896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023705178,0.0002015712,0.0004721566,0.000028291544,0.00006209912,0.000023622983,0.00013579597,0.00010443855,0.00008139086],"category_scores_gemma":[0.000357025,0.0001481972,0.00006142563,0.000121265584,0.0013670905,0.00022283976,0.0001407298,0.00014640474,0.000005236894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007123263,0.00010963974,0.000021605407,0.00020388495,0.000011108171,6.2004284e-7,0.0005493374,0.000010619262,0.00029324827,0.9963651,0.000026249967,0.002337384],"study_design_scores_gemma":[0.00058686145,0.0001199499,0.0000067405144,0.00011041779,0.000040339834,0.0000042993524,0.000057917987,0.04502412,0.0019545248,0.9519073,0.000016560392,0.00017098412],"about_ca_topic_score_codex":7.867411e-7,"about_ca_topic_score_gemma":0.0000010023159,"teacher_disagreement_score":0.26665986,"about_ca_system_score_codex":0.000014659104,"about_ca_system_score_gemma":0.000014391858,"threshold_uncertainty_score":0.6043306},"labels":[],"label_agreement":null},{"id":"W2484823650","doi":"10.1016/j.aim.2017.04.027","title":"Higher rank partial and false theta functions and representation theory","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Theta function; Mathematics; Modulo; Rank (graph theory); Pure mathematics; Representation theory; Logarithm; Ramanujan theta function; Representation (politics); Modular form; Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.044098255899359284,"score_gpt":0.3520186690137589,"score_spread":0.3079204131143996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2484823650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87218535,0.028540002,0.030909387,0.00081390137,0.009286731,0.0034110334,0.00009612091,0.00040939855,0.054348107],"genre_scores_gemma":[0.98313504,0.0033318112,0.009231095,0.000020226278,0.00041750155,0.00018574328,0.000013437302,0.00007357603,0.0035915896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983684,0.00011421581,0.00051824015,0.00048550346,0.00027494482,0.00023873153],"domain_scores_gemma":[0.9974718,0.00088744535,0.00054705265,0.0009623658,0.000060430262,0.00007087091],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051174394,0.00033578931,0.0006180482,0.00008733124,0.00019027732,0.000165317,0.00029714566,0.00028783592,0.00006631307],"category_scores_gemma":[0.00062430976,0.0002812105,0.00008232682,0.000043340147,0.00024851516,0.00026286035,0.0006139941,0.00047255625,0.0000033019587],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034568442,0.000071522896,0.00030592375,0.00074401114,0.000057720703,0.000006107869,0.0015396647,0.000075407435,0.0000055802307,0.99054223,0.000047931288,0.0065693194],"study_design_scores_gemma":[0.0005416942,0.000020509073,0.00021695127,0.00035126915,0.00013844758,0.000009469391,0.0004087241,0.0007257166,0.000031053714,0.9966268,0.0006380318,0.0002913654],"about_ca_topic_score_codex":0.0000088806855,"about_ca_topic_score_gemma":0.000014350708,"teacher_disagreement_score":0.110949695,"about_ca_system_score_codex":0.00003269782,"about_ca_system_score_gemma":0.00003270511,"threshold_uncertainty_score":0.999964},"labels":[],"label_agreement":null},{"id":"W2489409711","doi":"10.1063/1.4961154","title":"Weight-lattice discretization of Weyl-orbit functions","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Discretization; Affine transformation; Orbit (dynamics); Orthogonality; Algebra over a field; Symmetry (geometry); Matrix (chemical analysis); Function (biology)","score_opus":0.028996227154627966,"score_gpt":0.2832261008636972,"score_spread":0.25422987370906924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2489409711","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34448475,0.000039950206,0.6499674,0.0006657675,0.0005846054,0.00013157607,0.000006357676,0.000020942362,0.004098706],"genre_scores_gemma":[0.9888815,0.0000145664635,0.009995914,0.00001946238,0.0006197228,0.0000020093996,2.9718632e-7,0.000027899163,0.00043861713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984071,0.000058139805,0.00075022195,0.00009440694,0.00052984344,0.00016028056],"domain_scores_gemma":[0.9976609,0.0008957586,0.00072028785,0.00026418417,0.00035775747,0.000101146434],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002985473,0.00014480719,0.00045071135,0.000044629505,0.000046789715,0.000014467104,0.00021934614,0.000081499835,0.00018810827],"category_scores_gemma":[0.0006424466,0.00007957427,0.00024733064,0.00015156323,0.000095142466,0.00024885644,0.00004567597,0.00013892086,0.000020678697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003704873,0.0002230106,0.000039850824,0.00011494047,0.000093502254,0.000001735923,0.00019572042,0.000003372355,0.0014251515,0.9953934,0.0009588303,0.0015134492],"study_design_scores_gemma":[0.00065070286,0.00015078623,0.000049845534,0.00031115886,0.00017135698,0.000025520922,0.000055696943,0.00008772608,0.0037886114,0.9944292,0.00017501599,0.00010439703],"about_ca_topic_score_codex":3.44895e-7,"about_ca_topic_score_gemma":1.0479427e-7,"teacher_disagreement_score":0.6443968,"about_ca_system_score_codex":0.000044876982,"about_ca_system_score_gemma":0.00005961377,"threshold_uncertainty_score":0.32449445},"labels":[],"label_agreement":null},{"id":"W2496599024","doi":"10.1016/j.jalgebra.2016.06.026","title":"Unistructurality of cluster algebras of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mrow><mml:mi mathvariant=\"double-struck\">A</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover></mml:math>","year":2016,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Type (biology); Rank (graph theory); Cluster algebra; Automorphism; Cluster (spacecraft); Combinatorics; Set (abstract data type); Pure mathematics; Computer science","score_opus":0.021788385701570538,"score_gpt":0.25521667180637214,"score_spread":0.2334282861048016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2496599024","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8941326,0.0009829177,0.0006347589,0.0007595962,0.0056818547,0.000073659474,0.00024795523,0.00009598291,0.097390644],"genre_scores_gemma":[0.99137986,0.0010315593,0.0026327155,0.001051647,0.0026941574,0.000102213016,0.0001249707,0.0006143267,0.0003685632],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.98939586,0.00048538874,0.0033377642,0.0013313438,0.0034191073,0.0020305263],"domain_scores_gemma":[0.9888823,0.0017871222,0.005336058,0.0023421305,0.0005808774,0.001071488],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0022453933,0.001051844,0.0007762284,0.00051692297,0.00083494216,0.0008801166,0.0026966154,0.0024816047,0.141016],"category_scores_gemma":[0.0019281354,0.0014556791,0.0024038511,0.0010093688,0.0014927635,0.0019092988,0.0020033875,0.001810857,0.00059089396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004197036,0.00034064855,0.000035684323,0.0015325521,0.0028976332,0.0006192464,0.0017583146,0.0003224698,0.003615555,0.9109489,0.07232365,0.0014083212],"study_design_scores_gemma":[0.007543061,0.0034180016,0.00057292404,0.0030549155,0.0034299036,0.0032292823,0.0017794668,0.02763727,0.92544156,0.019409519,0.0024064442,0.0020776547],"about_ca_topic_score_codex":0.00086831034,"about_ca_topic_score_gemma":0.00023249263,"teacher_disagreement_score":0.921826,"about_ca_system_score_codex":0.000049306833,"about_ca_system_score_gemma":0.0021372994,"threshold_uncertainty_score":0.9988134},"labels":[],"label_agreement":null},{"id":"W2496791122","doi":"","title":"Combinatorial hopf algebras of supercharacters of lie type d","year":2013,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Hopf algebra; Mathematics; Type (biology); Representation theory; Representation (politics); Algebra over a field; Pure mathematics; Lie algebra; Field (mathematics); Discrete mathematics","score_opus":0.03052423005962679,"score_gpt":0.2745384376707091,"score_spread":0.24401420761108233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2496791122","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9923907,0.000021307536,0.0000597244,0.00007970203,0.001609903,0.00025224336,0.000001731417,0.000035769313,0.0055489363],"genre_scores_gemma":[0.998758,0.0000075469093,0.00084454875,0.000033293538,0.000117096926,0.0000068385543,0.0000023559467,0.000020500991,0.00020978718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897313,0.000036979975,0.0004003449,0.00014130502,0.0002725761,0.00017564173],"domain_scores_gemma":[0.99893147,0.00023363381,0.00014039922,0.0003496687,0.000278086,0.00006672608],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000105330066,0.00013223664,0.00035896833,0.00005653676,0.000026789243,0.000010591258,0.00023940844,0.000121112214,0.0016642086],"category_scores_gemma":[0.00020306153,0.00010368431,0.00009957114,0.00015565973,0.00007944551,0.00012300625,0.00008078982,0.00009735406,0.000027591928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022465905,0.0000834458,0.00061465683,0.000058294463,0.00004823342,2.5683863e-7,0.00026223963,1.8416226e-7,0.0039906683,0.9928085,0.0018292454,0.00028180867],"study_design_scores_gemma":[0.00059164804,0.00017157507,0.0012648328,0.000019046822,0.000025737469,0.0000012391159,0.00012119065,0.000021473736,0.017693898,0.97987247,0.00010353392,0.00011334617],"about_ca_topic_score_codex":0.00022542148,"about_ca_topic_score_gemma":0.0000018187405,"teacher_disagreement_score":0.01370323,"about_ca_system_score_codex":0.000015886393,"about_ca_system_score_gemma":0.000051419003,"threshold_uncertainty_score":0.9992484},"labels":[],"label_agreement":null},{"id":"W2497081882","doi":"10.1017/cbo9780511614309.008","title":"Representation–finite hereditary algebras","year":2006,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Representation (politics); Algebra over a field; Pure mathematics; Mathematics; Computer science; Political science","score_opus":0.03652049001235596,"score_gpt":0.23448280292884296,"score_spread":0.197962312916487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2497081882","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0006918576,0.0001352201,0.00106617,0.000016506774,0.0010031114,0.0005038563,0.0001795044,0.00028107615,0.9961227],"genre_scores_gemma":[0.0049290317,0.000024355157,0.00034099634,0.000048381597,0.0007442281,0.0000013778758,0.0001121938,0.000109751956,0.99368966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99807423,0.000052085426,0.00035431597,0.0006678556,0.0005092201,0.00034230074],"domain_scores_gemma":[0.99791914,0.0003648224,0.00039930877,0.0009397379,0.00021197379,0.00016499171],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00008159561,0.0005250489,0.00065080845,0.0001801982,0.00023578123,0.000055274013,0.00061947724,0.0006060039,0.00002353826],"category_scores_gemma":[0.00003678237,0.00060651626,0.00041883302,0.000014802899,0.0002139017,0.0001064047,0.00041880587,0.00058169756,0.000017287784],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050890892,0.000009286108,8.98692e-7,0.00006753241,0.00016915236,0.0003400906,0.000023150275,0.00000851879,0.0000016502411,0.79947525,0.19968675,0.00016679314],"study_design_scores_gemma":[0.0012353314,0.00007014829,0.000011037038,0.00020603473,0.0006726271,0.000037829584,0.000037317128,0.00007286717,0.00023133367,0.15063842,0.84576964,0.0010173908],"about_ca_topic_score_codex":0.0002678022,"about_ca_topic_score_gemma":0.0000033462322,"teacher_disagreement_score":0.64883685,"about_ca_system_score_codex":0.00020259887,"about_ca_system_score_gemma":0.00011223043,"threshold_uncertainty_score":0.9996386},"labels":[],"label_agreement":null},{"id":"W2501631576","doi":"10.1007/jhep11(2017)133","title":"The S-matrix bootstrap. Part I: QFT in AdS","year":2017,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":200,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Fundação para a Ciência e a Tecnologia; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation; Government of Canada; Institut Périmètre de physique théorique; National Centres of Competence in Research SwissMAP; Natural Sciences and Engineering Research Council of Canada; European Commission; CERN","keywords":"Conformal map; Curvature; Hyperbolic space; Boundary (topology); Infinity; Quantum field theory; Scaling; Conformal field theory; Space (punctuation); Limit (mathematics)","score_opus":0.03392006640968681,"score_gpt":0.30783819855128786,"score_spread":0.27391813214160105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2501631576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9808141,0.0006799213,0.0075767837,0.001626034,0.0063489964,0.00007898677,0.0000033739736,0.000018899396,0.002852906],"genre_scores_gemma":[0.9974053,0.00020070777,0.00026775227,0.0000333015,0.001601403,0.000002007685,2.497763e-7,0.000019258856,0.0004700331],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988768,0.000048509643,0.00042607408,0.00008639645,0.00035275347,0.00020945464],"domain_scores_gemma":[0.9982702,0.00023537812,0.00080976554,0.0004937835,0.00012600946,0.000064832224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025533984,0.00013135324,0.00029207196,0.000021421509,0.00032266407,0.00015207376,0.0006667235,0.000070301256,0.000010146428],"category_scores_gemma":[0.0001406153,0.00008119396,0.00016358284,0.000042181095,0.00008370192,0.00022445856,0.000082568964,0.00024307784,0.0000011226056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000384746,0.0000439183,0.0000974443,0.0000048604643,0.000048665763,0.000017330476,0.000053505446,0.00008193597,0.000013318322,0.9937661,0.0024433043,0.0033910892],"study_design_scores_gemma":[0.0006280078,0.0000723547,0.00055938336,0.000045678036,0.000028819712,0.00001443034,0.000026975948,0.00003705684,0.0009273949,0.99054736,0.007016862,0.000095706026],"about_ca_topic_score_codex":0.000059820755,"about_ca_topic_score_gemma":0.000033592638,"teacher_disagreement_score":0.016591188,"about_ca_system_score_codex":0.00004202642,"about_ca_system_score_gemma":0.000084233376,"threshold_uncertainty_score":0.33109936},"labels":[],"label_agreement":null},{"id":"W2505052248","doi":"10.1016/j.jalgebra.2017.03.004","title":"τ-Tilting theory and τ-slices","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Sherbrooke","keywords":"Endomorphism; Mathematics; Nilpotent; Generalization; Algebra over a field; Point (geometry); Pure mathematics; Geometry; Mathematical analysis","score_opus":0.034313347357793254,"score_gpt":0.3341763405656205,"score_spread":0.2998629932078273,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2505052248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9961372,0.00034881188,0.00043363802,0.00031661487,0.0007265522,0.000037133763,3.295013e-7,0.000007448263,0.0019922769],"genre_scores_gemma":[0.99703777,0.000041858362,0.0021247757,0.000059138412,0.00055771455,3.7342622e-7,2.7646985e-8,0.000012947128,0.00016537348],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992517,0.000054026605,0.0002898946,0.000073728064,0.00020555723,0.0001250848],"domain_scores_gemma":[0.998451,0.00035813515,0.0007522679,0.000258969,0.000098080774,0.00008155247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086029404,0.00009225793,0.00023473905,0.00004310135,0.00027664742,0.0001702053,0.00034281588,0.000060025533,0.000057344427],"category_scores_gemma":[0.0012004809,0.000065147135,0.00008439635,0.000014051959,0.00007821744,0.0002986488,0.000097900855,0.00018697596,0.0000013125002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055887653,0.000014541556,0.0010745997,0.00002130199,0.00006239795,0.00001680574,0.00048271692,2.0021857e-7,0.0001650022,0.99228513,0.0003525845,0.005468801],"study_design_scores_gemma":[0.00047235275,0.0000776842,0.0046683303,0.00006497702,0.000050179402,0.00011261054,0.00019779391,0.000007031785,0.00064418215,0.9932389,0.00039001097,0.00007595025],"about_ca_topic_score_codex":0.000003061929,"about_ca_topic_score_gemma":0.0000011871776,"teacher_disagreement_score":0.005392851,"about_ca_system_score_codex":0.000011933663,"about_ca_system_score_gemma":0.000030536332,"threshold_uncertainty_score":0.2656623},"labels":[],"label_agreement":null},{"id":"W2507548682","doi":"10.1007/s11139-017-9908-3","title":"An algebraic interpretation of the q-Meixner polynomials","year":2017,"lang":"en","type":"article","venue":"The Ramanujan Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Orthogonality; Orthogonal polynomials; Interpretation (philosophy); Algebraic number; Recurrence relation; Unitary state; Pure mathematics; Hahn polynomials; Wilson polynomials; Kravchuk polynomials; Exponential function; Pseudorotation; Algebra over a field; Discrete orthogonal polynomials; Classical orthogonal polynomials; Combinatorics; Mathematical analysis; Gegenbauer polynomials; Quantum mechanics; Physics","score_opus":0.03128141589656285,"score_gpt":0.3326676629934578,"score_spread":0.30138624709689493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2507548682","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99391925,0.000047547182,0.0012830488,0.0014210739,0.001791321,0.0001435716,0.0000015763696,0.000010861498,0.0013817726],"genre_scores_gemma":[0.9988107,0.0000062118334,0.00021120248,0.00009818016,0.00062572135,0.000002362488,1.5498851e-7,0.000018460378,0.00022698566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988535,0.00021692747,0.00034400815,0.00009852383,0.00030841786,0.00017859013],"domain_scores_gemma":[0.9979244,0.00014075896,0.0007654196,0.0010108266,0.00009327999,0.00006534975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000815259,0.00012157109,0.00020417752,0.000025215451,0.00091341085,0.00026073278,0.0014950117,0.00006484901,0.00012135682],"category_scores_gemma":[0.00042141156,0.00005763771,0.00017840708,0.00002952512,0.00020435094,0.0002448067,0.00012569185,0.0003412706,0.0000038179232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019022172,0.00009828886,0.0017498825,0.000026807485,0.00020628466,0.000004131915,0.0067664366,0.000087286666,0.00262882,0.9622178,0.0029664799,0.023057552],"study_design_scores_gemma":[0.00041523288,0.0000648868,0.0084794555,0.000058263435,0.00006916758,0.00007987821,0.00021549527,0.0005080387,0.00258958,0.9873351,0.000100489466,0.000084425636],"about_ca_topic_score_codex":0.000015589365,"about_ca_topic_score_gemma":0.000009628534,"teacher_disagreement_score":0.02511728,"about_ca_system_score_codex":0.000028786759,"about_ca_system_score_gemma":0.00006555224,"threshold_uncertainty_score":0.702531},"labels":[],"label_agreement":null},{"id":"W2511870560","doi":"10.1007/s10468-017-9738-4","title":"Irreducible Modules Over Witt Algebras W n $\\mathcal {W}_{n}$ and Over 𝖘 𝖑 n + 1 ( ℂ ) $\\mathfrak {sl}_{n+1}(\\mathbb {C})$","year":2017,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"China Scholarship Council; China Postdoctoral Science Foundation; National Natural Science Foundation of China; Jilin Provincial Postdoctoral Science Foundation","keywords":"Subalgebra; Quotient; Mathematics; Combinatorics; Integer (computer science); Algebra over a field; Pure mathematics","score_opus":0.034172893985837026,"score_gpt":0.33208870802734275,"score_spread":0.29791581404150574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2511870560","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99191105,0.00086148013,0.001090613,0.00037154395,0.00093605515,0.0004628682,0.000013895067,0.00014110451,0.0042113652],"genre_scores_gemma":[0.9960441,0.00031547848,0.0010565482,0.00020687717,0.00046316258,0.000049220776,0.000010542714,0.000076440134,0.001777609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997552,0.00018964979,0.00052094203,0.00080129964,0.00047517868,0.0004609539],"domain_scores_gemma":[0.9973206,0.0005867766,0.00047418106,0.0012709377,0.00008537269,0.00026213177],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006327354,0.00041988926,0.0005465031,0.00012900736,0.0010639394,0.0006005267,0.00043383587,0.00027914913,0.0003864555],"category_scores_gemma":[0.0006215782,0.00034705416,0.00015087058,0.00008510613,0.0005948324,0.0007625353,0.00048340234,0.00029590956,0.00001317281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011971281,0.00007142196,0.004635988,0.00008009234,0.000152635,0.0000149480775,0.0011710537,0.0000016886603,0.0005013618,0.9849624,0.0013416874,0.0069470126],"study_design_scores_gemma":[0.0013838733,0.000068171634,0.05643239,0.0000695536,0.0001263479,0.000048110433,0.0004925745,0.00035108277,0.0013964057,0.93886185,0.00035047304,0.00041914536],"about_ca_topic_score_codex":0.00018017991,"about_ca_topic_score_gemma":0.000017001019,"teacher_disagreement_score":0.0517964,"about_ca_system_score_codex":0.00003031507,"about_ca_system_score_gemma":0.00004349521,"threshold_uncertainty_score":0.99989814},"labels":[],"label_agreement":null},{"id":"W2513616126","doi":"10.1016/j.aim.2017.06.018","title":"Comultiplication for shifted Yangians and quantum open Toda lattice","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Toronto","funders":"Institut Périmètre de physique théorique; Industry Canada; Ontario Ministry of Economic Development and Innovation; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Yangian; Coproduct; Toda lattice; Lie algebra; Lattice (music); Quantum; Pure mathematics; Mathematics; Integrable system; Algebra over a field; Physics; Quantum mechanics","score_opus":0.07824592874602226,"score_gpt":0.4064661005482316,"score_spread":0.32822017180220936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2513616126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6866332,0.011788376,0.24220507,0.0024265565,0.0071240817,0.024214558,0.00045636657,0.0005567547,0.02459502],"genre_scores_gemma":[0.6231142,0.0016755778,0.37230796,0.00007003693,0.00033470817,0.0015662718,0.000069290094,0.00017348684,0.000688454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982002,0.000036339545,0.0006677191,0.0005484561,0.00023550009,0.00031182045],"domain_scores_gemma":[0.9964831,0.0010850378,0.00089619006,0.0013245087,0.00013742906,0.00007375187],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005936718,0.0003835377,0.000840279,0.00007947884,0.00020540353,0.0003257464,0.0014027811,0.0003636858,0.000012986947],"category_scores_gemma":[0.00087200984,0.0003507702,0.00010059445,0.000048012946,0.00011826814,0.00033810874,0.0013819584,0.00040177235,0.0000024584624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050767183,0.00013025166,0.00007740642,0.0021989676,0.00003940731,0.0000014746784,0.0016889836,0.000040977015,0.000003531011,0.99333245,0.00009590661,0.0023398837],"study_design_scores_gemma":[0.001259987,0.000037226593,0.00006714721,0.0008319694,0.000097431315,0.000003964341,0.0002739047,0.012196472,0.000059095324,0.9833615,0.001411791,0.0003995259],"about_ca_topic_score_codex":0.000031466014,"about_ca_topic_score_gemma":0.00009634482,"teacher_disagreement_score":0.13010289,"about_ca_system_score_codex":0.000081686376,"about_ca_system_score_gemma":0.00007691644,"threshold_uncertainty_score":0.99989444},"labels":[],"label_agreement":null},{"id":"W2520900385","doi":"10.1007/s10468-017-9675-2","title":"Gradings on Modules Over Lie Algebras of E Types","year":2017,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Ministerio de Ciencia y Tecnología","keywords":"Algebraically closed field; Lie algebra; Simple (philosophy); Abelian group; Central simple algebra; Computation; Simple module; Simple Lie group","score_opus":0.03492941578220185,"score_gpt":0.3282038504843758,"score_spread":0.29327443470217396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2520900385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99246526,0.00015358519,0.0003539351,0.00017100567,0.00047146948,0.00017645645,0.0000042305355,0.000035577745,0.0061684716],"genre_scores_gemma":[0.99843353,0.00007464129,0.00033715137,0.00008041449,0.0001658571,0.00001015498,0.000002791289,0.000024757672,0.0008707182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998988,0.00007870621,0.00025822324,0.00027628432,0.0002429238,0.00015586596],"domain_scores_gemma":[0.9984547,0.00043276296,0.00034074867,0.0006427213,0.000061412764,0.00006768577],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027197102,0.00015508676,0.0002641295,0.000066641456,0.0003171207,0.00008683498,0.0002584953,0.00010118552,0.00018160789],"category_scores_gemma":[0.0005144271,0.000120470955,0.00009301959,0.000039008202,0.00024453306,0.00019225036,0.0001137749,0.000107908345,0.000005992022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095348965,0.000041470274,0.0022944347,0.000032439246,0.000082851955,0.000002281682,0.0004765375,0.00000108907,0.0004138284,0.99102074,0.00046800452,0.005070987],"study_design_scores_gemma":[0.00055507716,0.000073363386,0.026168134,0.000044075914,0.000052042953,0.0000033408935,0.00014815638,0.000028536,0.008624601,0.96410054,0.000067137735,0.00013500196],"about_ca_topic_score_codex":0.000049897255,"about_ca_topic_score_gemma":0.000003442232,"teacher_disagreement_score":0.026920196,"about_ca_system_score_codex":0.000010336583,"about_ca_system_score_gemma":0.000013661765,"threshold_uncertainty_score":0.49126628},"labels":[],"label_agreement":null},{"id":"W2524615825","doi":"10.46298/dmtcs.3603","title":"Quivers and the Euclidean algebra (Extended abstract)","year":2008,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Mathematics; Moduli space; Representation theory; Indecomposable module; Type (biology); Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.018327225709659778,"score_gpt":0.26710470049648377,"score_spread":0.248777474786824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2524615825","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80790734,0.00007705021,0.17940103,0.0011650801,0.00067683344,0.0006740839,0.0000037740797,0.00019510766,0.009899726],"genre_scores_gemma":[0.9576139,0.00002528151,0.04189539,0.00024399746,0.00015179467,0.000013236459,5.806774e-7,0.000026237412,0.000029590565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99731904,0.00007705946,0.0005125523,0.00052968436,0.0009935384,0.0005681408],"domain_scores_gemma":[0.9971037,0.0014491254,0.00019421078,0.0008415924,0.00015367252,0.00025773078],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0015657528,0.00031022553,0.00047712305,0.00009134782,0.000979916,0.00022403103,0.0011591436,0.00008714435,0.00014022563],"category_scores_gemma":[0.00056259526,0.00017917895,0.00015331454,0.00041336584,0.00938004,0.00024169181,0.0006826283,0.000327159,0.000018823112],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027666872,0.00004106539,0.000006781989,0.0000323189,0.000019380328,0.000011682701,0.0037070785,0.0000019273978,0.000031730582,0.99557036,0.00009430629,0.00045568356],"study_design_scores_gemma":[0.0008989189,0.000060758888,0.00015611966,0.00004414204,0.000038316273,0.00014940457,0.00018817931,0.0307313,0.00027815453,0.96718633,0.000016704109,0.0002516574],"about_ca_topic_score_codex":0.00000435507,"about_ca_topic_score_gemma":5.096503e-7,"teacher_disagreement_score":0.14970657,"about_ca_system_score_codex":0.000032124288,"about_ca_system_score_gemma":0.00008490757,"threshold_uncertainty_score":0.9933159},"labels":[],"label_agreement":null},{"id":"W2527793589","doi":"10.3842/sigma.2017.063","title":"The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix","year":2017,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Fock space; Mathematics; Pure mathematics; Matrix (chemical analysis); Poisson distribution; Mathematical physics; Algebra over a field; Physics; Quantum mechanics; Statistics; Materials science","score_opus":0.022959165271596558,"score_gpt":0.3937317916605081,"score_spread":0.3707726263889115,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2527793589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8064335,0.006664093,0.17613243,0.0060377615,0.0006431942,0.001989971,0.0002538406,0.00016597222,0.0016792208],"genre_scores_gemma":[0.93332,0.00030556956,0.06502448,0.000097223754,0.00023326352,0.00019286391,0.000013445745,0.000033205048,0.0007799591],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798566,0.000308224,0.0004748461,0.0006108117,0.00025149347,0.0003689851],"domain_scores_gemma":[0.99511313,0.002631984,0.00036134507,0.0015137485,0.00016131332,0.00021847224],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0016889462,0.00032116257,0.00047381644,0.00007290998,0.0024540764,0.000528916,0.0006339582,0.00030094763,0.00005725411],"category_scores_gemma":[0.00389725,0.00021081927,0.0001454756,0.00026085088,0.00058158283,0.00015180888,0.00028062172,0.0005121372,0.0000028801958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026102976,0.00006850226,0.0007328311,0.00006190469,0.00006525354,1.922089e-7,0.00008394573,4.3561446e-8,0.0005170902,0.8664171,0.00033391998,0.13169312],"study_design_scores_gemma":[0.0003968743,0.000094191244,0.0010260551,0.00001441936,0.00009735653,0.000016083613,0.0004398451,0.00006910596,0.0017398155,0.96600974,0.029849865,0.00024666748],"about_ca_topic_score_codex":0.00036811212,"about_ca_topic_score_gemma":0.000035508918,"teacher_disagreement_score":0.13144647,"about_ca_system_score_codex":0.000040676485,"about_ca_system_score_gemma":0.000045928755,"threshold_uncertainty_score":0.99884456},"labels":[],"label_agreement":null},{"id":"W2529358956","doi":"10.1016/j.jcta.2017.11.020","title":"A graphical calculus for the Jack inner product on symmetric functions","year":2017,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Inner product space; Product (mathematics); Space (punctuation); Mathematics; Planar; Superalgebra; String (physics); Pure mathematics; Symmetric function; Realization (probability); Action (physics); Combinatorics; Calculus (dental); Algebra over a field; Geometry; Mathematical physics; Physics; Computer science; Quantum mechanics","score_opus":0.03376618277547973,"score_gpt":0.3056247157401893,"score_spread":0.2718585329647096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2529358956","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80641764,0.0014370626,0.010905768,0.017894063,0.15264614,0.0028582483,0.000045023615,0.00013440165,0.0076616695],"genre_scores_gemma":[0.99489814,0.00003691831,0.00017221097,0.00006686576,0.0039902553,0.000030759762,4.982164e-7,0.00004025772,0.00076407084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816513,0.0001754021,0.0006023346,0.00019809352,0.0005492526,0.00030977835],"domain_scores_gemma":[0.9955399,0.0018015486,0.0010172047,0.00090377004,0.0006120955,0.00012550627],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015784722,0.00024829493,0.00050379365,0.0001521254,0.0012708326,0.00029190473,0.0009900455,0.00013771866,0.000055663564],"category_scores_gemma":[0.0068549137,0.00014450178,0.0004665453,0.00018726404,0.0003143374,0.00036434256,0.00012531268,0.0005310181,0.0000028246154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023086257,0.00016472716,0.000035983954,0.000024739631,0.00027329024,0.0000083867,0.00014814308,0.000004887667,0.000032633743,0.9900299,0.005122648,0.0018460816],"study_design_scores_gemma":[0.0021573734,0.0011867845,0.0002642567,0.000049676917,0.00023575709,0.00008996575,0.00017884586,0.000012132623,0.00047741653,0.9719344,0.023238774,0.00017463791],"about_ca_topic_score_codex":0.0000055053806,"about_ca_topic_score_gemma":0.0000017767392,"teacher_disagreement_score":0.18848054,"about_ca_system_score_codex":0.00006720933,"about_ca_system_score_gemma":0.00014437521,"threshold_uncertainty_score":0.9774346},"labels":[],"label_agreement":null},{"id":"W2536325561","doi":"10.1016/j.jalgebra.2016.10.013","title":"Perfect and semiperfect restricted enveloping algebras","year":2016,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Pure mathematics; Universal enveloping algebra; Mathematics; Lie algebra; Algebra over a field","score_opus":0.032306410197876084,"score_gpt":0.29776352109934123,"score_spread":0.2654571109014652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2536325561","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9893231,0.002492661,0.0025266167,0.0007331354,0.0035174063,0.00032514118,0.000010014042,0.00006189313,0.0010100295],"genre_scores_gemma":[0.9925311,0.0008629043,0.0040115514,0.000109641594,0.0021792708,0.00000768198,0.0000018833322,0.00009672679,0.0001991966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968887,0.0002619421,0.001237004,0.00042209658,0.00075536245,0.00043491094],"domain_scores_gemma":[0.9961692,0.0008226186,0.0017099692,0.0005764581,0.00043525937,0.00028651275],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006932816,0.00054557784,0.0012061328,0.0003897105,0.0001403378,0.00017475299,0.00066183665,0.00064574485,0.00013848326],"category_scores_gemma":[0.0012454482,0.00037644597,0.00046755318,0.00014906423,0.00012179767,0.00019489559,0.00074504205,0.0014048954,0.000004593283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040637344,0.00015547262,0.0020409434,0.0011776568,0.0016659482,0.00030008345,0.00176657,0.000009367555,0.0015607219,0.9672508,0.014781651,0.00888439],"study_design_scores_gemma":[0.0011591103,0.0002498237,0.0015010965,0.0014003882,0.00030549962,0.0003897214,0.00004869434,0.000022983642,0.0013097624,0.9924423,0.00070395437,0.0004666638],"about_ca_topic_score_codex":0.0000080367245,"about_ca_topic_score_gemma":0.0000014221868,"teacher_disagreement_score":0.02519148,"about_ca_system_score_codex":0.00020748813,"about_ca_system_score_gemma":0.0005062329,"threshold_uncertainty_score":0.99986875},"labels":[],"label_agreement":null},{"id":"W2540201969","doi":"10.1007/s00220-017-2901-2","title":"Orbifolds and Cosets of Minimal $${\\mathcal{W}}$$-Algebras","year":2017,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Coset; Vertex operator algebra; Lie algebra; Affine transformation; Centralizer and normalizer; Vertex (graph theory); Conjecture; Affine Lie algebra; Simple Lie group","score_opus":0.11755443151896615,"score_gpt":0.3909239979910228,"score_spread":0.2733695664720566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2540201969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9684555,0.00025056617,0.005405082,0.0011837637,0.00012681392,0.0005527249,0.000013539846,0.0000641163,0.02394787],"genre_scores_gemma":[0.963291,0.00007311307,0.036441144,0.00001955095,0.000036803856,0.000036890586,0.0000025005509,0.000025278203,0.00007375462],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988285,0.00008233124,0.000497198,0.0001796815,0.00021679273,0.00019553002],"domain_scores_gemma":[0.9953729,0.0009458132,0.00034251102,0.0031801944,0.00008982813,0.0000687904],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034488732,0.00016899554,0.00044714217,0.000037148373,0.00029688276,0.00007293461,0.0014618475,0.00011356228,0.000025309893],"category_scores_gemma":[0.0009775016,0.00013551736,0.00008081798,0.00007802134,0.0006907102,0.00018705476,0.0010207895,0.0002562306,0.000008727528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068601025,0.0002691502,0.0005248132,0.00013491166,0.000021612443,5.6605217e-7,0.0006987399,3.9278902e-7,0.00007954161,0.995042,0.00007761699,0.0031437783],"study_design_scores_gemma":[0.0004396376,0.000029854733,0.0017234063,0.00016361443,0.000034569894,0.0000035144021,0.000115938186,0.0021332076,0.00034986326,0.9947781,0.00007852002,0.00014979205],"about_ca_topic_score_codex":0.000012596994,"about_ca_topic_score_gemma":0.000007871832,"teacher_disagreement_score":0.031036062,"about_ca_system_score_codex":0.000026360345,"about_ca_system_score_gemma":0.000036645546,"threshold_uncertainty_score":0.55262375},"labels":[],"label_agreement":null},{"id":"W2547322360","doi":"10.1007/s00031-018-9497-2","title":"SCHUR–WEYL DUALITY FOR HEISENBERG COSETS","year":2018,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":86,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Vertex operator algebra; Indecomposable module; Vertex (graph theory); Pure mathematics; Coset; Duality (order theory); Algebra over a field; Simple module; Operator algebra; Combinatorics; Simple (philosophy); Algebra representation; Jordan algebra","score_opus":0.06210589833675015,"score_gpt":0.34934478317667517,"score_spread":0.287238884839925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2547322360","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7025372,0.000021120539,0.28711486,0.00069035136,0.0011148499,0.00085952866,0.00003704476,0.00022319784,0.007401862],"genre_scores_gemma":[0.9959959,0.000004583271,0.0031487416,0.00020147076,0.00041934638,0.00006683129,0.000028394808,0.000021826965,0.00011293611],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893874,0.00003440128,0.00038457388,0.00015669521,0.0002338472,0.0002517651],"domain_scores_gemma":[0.9992865,0.00013468573,0.00009209206,0.00024232513,0.00016790413,0.000076515505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003159935,0.00015062574,0.00020256324,0.00004708653,0.00023715552,0.000046522964,0.00015597952,0.00011719287,0.00016858999],"category_scores_gemma":[0.000060356368,0.00013182961,0.00011646834,0.00011502736,0.00007039349,0.0003235165,0.000010139282,0.00008162961,0.0000399013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007769405,0.0000346402,0.000012274084,0.00009648957,0.00002556763,1.0986127e-7,0.0025486047,8.088639e-7,0.000081875696,0.99258107,0.0016130846,0.0029277846],"study_design_scores_gemma":[0.0012372368,0.00015049496,0.00020125275,0.000018124012,0.00003624675,0.0000044880076,0.00019249188,0.0009016102,0.004993093,0.98357683,0.008505215,0.00018291242],"about_ca_topic_score_codex":0.000007828745,"about_ca_topic_score_gemma":0.000020251604,"teacher_disagreement_score":0.2934587,"about_ca_system_score_codex":0.0000423351,"about_ca_system_score_gemma":0.000027984432,"threshold_uncertainty_score":0.53758556},"labels":[],"label_agreement":null},{"id":"W2551100047","doi":"10.1007/jhep01(2017)130","title":"Hexagonalization of correlation functions","year":2017,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":147,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Innovation, Science and Economic Development Canada; ICTP South American Institute for Fundamental Research; Fundação de Amparo à Pesquisa do Estado de São Paulo; Abdus Salam International Centre for Theoretical Physics; Government of Canada","keywords":"Operator product expansion; Operator (biology); Conformal map; Simple (philosophy); Correlation function (quantum field theory); Product (mathematics); Structure constants; Conformal field theory; Set (abstract data type)","score_opus":0.025625463035534438,"score_gpt":0.270805631399488,"score_spread":0.24518016836395357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2551100047","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3660216,0.000043185482,0.6302607,0.00008481403,0.0023052585,0.000022428101,0.0000024457424,0.000006750941,0.001252812],"genre_scores_gemma":[0.9980576,0.000017083914,0.00087429397,0.000012321611,0.0007031104,5.512197e-7,0.0000018575718,0.000011380061,0.0003217986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930686,0.000022209511,0.0003043401,0.000050981005,0.00025041812,0.000065183594],"domain_scores_gemma":[0.9982149,0.00007472414,0.001123181,0.00023618815,0.00031796392,0.000033059998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008352738,0.000070812406,0.00020069332,0.000027859496,0.00014265477,0.000027081936,0.00017906564,0.000051740437,0.000021932628],"category_scores_gemma":[0.00010817081,0.00005763348,0.00010882896,0.00003783388,0.00003952771,0.000256847,0.000029496992,0.00007714048,5.01674e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002571045,0.000042056592,0.00018588174,0.000008362006,0.00005522676,9.024788e-7,0.000052768304,0.0013408749,0.000065617874,0.9957262,0.0008119173,0.0016844829],"study_design_scores_gemma":[0.0004116961,0.000082932616,0.0011161037,0.000034804776,0.00007473547,0.000006804051,0.000014874983,0.00032861464,0.0017732664,0.9957794,0.00032204416,0.00005474025],"about_ca_topic_score_codex":0.000038503484,"about_ca_topic_score_gemma":0.000003160786,"teacher_disagreement_score":0.63203603,"about_ca_system_score_codex":0.000033169148,"about_ca_system_score_gemma":0.000066099805,"threshold_uncertainty_score":0.2350225},"labels":[],"label_agreement":null},{"id":"W2551897362","doi":"10.1142/s0219498817502103","title":"Right ADA algebras","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Indecomposable module; Mathematics; Pure mathematics; Left and right; Section (typography); Algebra over a field; Class (philosophy); Projective test; Computer science","score_opus":0.01910822081098837,"score_gpt":0.27827780060768853,"score_spread":0.2591695797967002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2551897362","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96745527,0.0015443963,0.02440243,0.0038013973,0.00036866558,0.0003542099,0.000008980411,0.000039711023,0.0020249241],"genre_scores_gemma":[0.997171,0.00030634846,0.0013706362,0.00010093149,0.0004910737,0.000016421123,2.3395782e-7,0.000017276505,0.00052608905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904263,0.000025677395,0.00042697001,0.0001239745,0.00022812872,0.00015259703],"domain_scores_gemma":[0.9987546,0.00034253614,0.00034917082,0.00018622376,0.0002184233,0.0001490039],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017949227,0.000119739736,0.00023256427,0.00007857229,0.000115998206,0.000027374335,0.00022018807,0.00007681713,0.0002390356],"category_scores_gemma":[0.00011051825,0.00006738567,0.0000931052,0.00011913859,0.00004299366,0.00020333017,0.000043668224,0.00010737688,0.000014349058],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011282531,0.000041463536,0.00005361997,0.000012332654,0.00004685012,0.0000016848081,0.00004967366,6.2132145e-8,0.001603881,0.98989964,0.002216004,0.0060635274],"study_design_scores_gemma":[0.0005508342,0.00007396815,0.00032058885,0.00003896296,0.000057677185,0.00008845872,0.00002540118,0.0000029583575,0.0033075192,0.9677234,0.027703699,0.000106497464],"about_ca_topic_score_codex":6.3471913e-7,"about_ca_topic_score_gemma":8.7289953e-7,"teacher_disagreement_score":0.029715706,"about_ca_system_score_codex":0.000027622686,"about_ca_system_score_gemma":0.00005775902,"threshold_uncertainty_score":0.2747908},"labels":[],"label_agreement":null},{"id":"W2553422681","doi":"10.1016/j.jalgebra.2016.10.030","title":"Maximal rigid subcategories and cluster-tilting subcategories in 2-CY categories","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Construct Program of the Key Discipline in Hunan Province; Université de Sherbrooke; National Science Foundation","keywords":"Subcategory; Quiver; Mathematics; Conjecture; Triangulated category; Cluster (spacecraft); Pure mathematics; Combinatorics; Derived category; Functor; Computer science","score_opus":0.020144578028310395,"score_gpt":0.27092652864196115,"score_spread":0.2507819506136508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2553422681","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99442315,0.0006396171,0.0017333555,0.0016066084,0.0010584197,0.00012771826,0.0000019010191,0.000028095512,0.00038115843],"genre_scores_gemma":[0.9978574,0.00015883097,0.0011573053,0.000066646804,0.00051666464,0.000004199043,3.7086346e-7,0.00004037479,0.00019819645],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978384,0.00011806539,0.0009564656,0.0002206906,0.00044710163,0.0004193195],"domain_scores_gemma":[0.99794424,0.0007435625,0.0006559286,0.00024580728,0.00025794908,0.00015252679],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007739393,0.0002856376,0.0006212031,0.0002585815,0.00011801241,0.00011604792,0.00032679763,0.00016486202,0.00006910213],"category_scores_gemma":[0.00072481483,0.0001764104,0.00013406217,0.00023559725,0.00022162765,0.0007107897,0.00014426198,0.00030316543,0.0000038516837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029571448,0.000059957736,0.013652906,0.00007840255,0.00007680924,0.00006425269,0.0019331797,0.0000010581836,0.0005851908,0.9787296,0.0005427925,0.003980143],"study_design_scores_gemma":[0.0017740855,0.0002529598,0.0041989144,0.00010290438,0.00004751277,0.00029231867,0.0008526228,0.0000069016874,0.0025938442,0.9891589,0.0004703923,0.00024862125],"about_ca_topic_score_codex":0.000026795116,"about_ca_topic_score_gemma":0.000033611785,"teacher_disagreement_score":0.010429329,"about_ca_system_score_codex":0.00010646712,"about_ca_system_score_gemma":0.00015335303,"threshold_uncertainty_score":0.7193807},"labels":[],"label_agreement":null},{"id":"W2555749715","doi":"10.1515/forum-2016-0148","title":"Standard cocycles: Variations on themes of C. Kassel’s and R. Wilson’s","year":2016,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas; University of Alberta","keywords":"Mathematics; Lie algebra; Commutative property; Descent (aeronautics); Base (topology); Pure mathematics; Combinatorics; Algebra over a field; Physics; Mathematical analysis","score_opus":0.02317735493464848,"score_gpt":0.28466900427291486,"score_spread":0.2614916493382664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2555749715","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9424542,0.00010097577,0.046017908,0.0024611482,0.0005339998,0.0006821184,0.00007704435,0.00018480017,0.0074877865],"genre_scores_gemma":[0.99300814,0.000016018117,0.006250832,0.000046403253,0.000052860556,0.000027102495,6.0570073e-7,0.000032009662,0.00056603434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881953,0.00003426637,0.0003787803,0.00019733109,0.00032778858,0.00024232012],"domain_scores_gemma":[0.9983757,0.000824531,0.00024234297,0.0004097986,0.00007862574,0.00006897247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019635522,0.000178809,0.00036987002,0.00006944836,0.00009237151,0.000023549901,0.00016718848,0.00008919774,0.00017675963],"category_scores_gemma":[0.00046816163,0.00010403007,0.000083369465,0.00007531033,0.00008144138,0.000104221624,0.00007795657,0.00005846114,0.000010917472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028818275,0.000054316566,0.000100998535,0.00010335747,0.000052082858,6.1684676e-7,0.00058626663,1.78814e-7,0.00039978075,0.99582475,0.0019140077,0.0009347918],"study_design_scores_gemma":[0.0006954147,0.00018041169,0.000073958116,0.00031148415,0.000042797023,0.000005910121,0.00028736945,0.000044779925,0.00418376,0.99347717,0.0005516302,0.00014531572],"about_ca_topic_score_codex":0.0000029184007,"about_ca_topic_score_gemma":0.0000028408208,"teacher_disagreement_score":0.050553914,"about_ca_system_score_codex":0.000040138235,"about_ca_system_score_gemma":0.000032915334,"threshold_uncertainty_score":0.42422232},"labels":[],"label_agreement":null},{"id":"W2556340259","doi":"10.1112/jlms.12050","title":"On a dynamical Mordell–Lang conjecture for coherent sheaves","year":2017,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Coherent sheaf; Mathematics; Pure mathematics","score_opus":0.03525011104838967,"score_gpt":0.32748729072367416,"score_spread":0.2922371796752845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2556340259","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9565353,0.00007280333,0.034181427,0.006099266,0.0014565462,0.0006905364,0.000011774456,0.000023470731,0.00092889636],"genre_scores_gemma":[0.9856699,0.000008965749,0.012766553,0.00031479768,0.0005102803,0.000011204817,2.477343e-7,0.000036867703,0.0006811901],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984344,0.000051483596,0.00054949376,0.00014153877,0.0005518152,0.00027123946],"domain_scores_gemma":[0.99717116,0.0010534747,0.0008578281,0.0006568442,0.00014281637,0.00011785958],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060019153,0.00021086713,0.00053341157,0.000015911299,0.00050416554,0.00016277471,0.0009790038,0.0001950867,0.00009431692],"category_scores_gemma":[0.0015606226,0.00010918532,0.001087614,0.00003826692,0.00018159991,0.00008731291,0.00016065752,0.00048324524,0.0000035411522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008347154,0.00017248136,0.000033015196,0.00018733466,0.00019990778,0.0000017383213,0.00046862877,0.000025166108,0.0001300165,0.98591954,0.012470378,0.00030835316],"study_design_scores_gemma":[0.0013783538,0.00019376275,0.00010901056,0.00024009742,0.00015275537,0.00004691074,0.000090538604,0.003145318,0.0004936361,0.9936248,0.00039203302,0.00013278368],"about_ca_topic_score_codex":0.0000010215755,"about_ca_topic_score_gemma":6.915165e-7,"teacher_disagreement_score":0.029134614,"about_ca_system_score_codex":0.00010663062,"about_ca_system_score_gemma":0.000060887418,"threshold_uncertainty_score":0.44524482},"labels":[],"label_agreement":null},{"id":"W2557795127","doi":"10.4153/cmb-2015-058-3","title":"Homological Properties Relative to Injectively Resolving Subcategories","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Subcategory; Mathematics; Injective function; Injective module; Monomorphism; Finitely-generated abelian group; Flat module; Pure mathematics; Combinatorics; Discrete mathematics","score_opus":0.11136226054285435,"score_gpt":0.2820415522564797,"score_spread":0.17067929171362534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2557795127","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8970003,0.00019452473,0.0068429513,0.014011685,0.0005379703,0.0012103383,0.000012174686,0.00027359236,0.07991643],"genre_scores_gemma":[0.9883484,6.5023323e-7,0.006912468,0.0007311695,0.00017330874,0.000095686795,0.0000014621841,0.000046550802,0.0036902793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980977,0.00013609717,0.00039984396,0.0003695215,0.00037665325,0.000620178],"domain_scores_gemma":[0.99774337,0.00033154237,0.000070201466,0.0003892595,0.00025415645,0.001211464],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00045262833,0.00027233313,0.0004374052,0.0001504322,0.00018280254,0.000107690386,0.0003753438,0.00020908998,0.0015838427],"category_scores_gemma":[0.005864789,0.00020748153,0.00008943065,0.00025014923,0.0001619985,0.000063456115,0.00011874882,0.00031156017,0.0029211158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031236028,0.000026716114,0.000028171711,0.00003240024,0.000026872613,0.00003895805,0.002878272,0.00000394078,0.000011035099,0.97366494,0.023149747,0.00010772642],"study_design_scores_gemma":[0.00026137911,0.0001751176,0.00005043714,0.000070345974,0.000024867872,0.000039877807,0.0010591681,0.000035801164,0.00014631519,0.9818038,0.016026475,0.0003064341],"about_ca_topic_score_codex":0.0010557208,"about_ca_topic_score_gemma":0.0005006203,"teacher_disagreement_score":0.0913481,"about_ca_system_score_codex":0.0004223048,"about_ca_system_score_gemma":0.00040933563,"threshold_uncertainty_score":0.99932885},"labels":[],"label_agreement":null},{"id":"W2560536768","doi":"10.1112/s0010437x18007881","title":"The inertia operator on the motivic Hall algebra","year":2019,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of British Columbia","funders":"","keywords":"Indecomposable module; Algebra over a field; Filtration (mathematics); Action (physics); Operator (biology); Lie algebra; Order (exchange); Filtered algebra; Graded Lie algebra","score_opus":0.022895064787273805,"score_gpt":0.2635629590856314,"score_spread":0.24066789429835758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2560536768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9546292,0.00010975402,0.00056206086,0.005541425,0.00079696183,0.0011230842,0.0000041549724,0.0001581391,0.03707521],"genre_scores_gemma":[0.9966866,0.0000072156795,0.0005473958,0.00085406937,0.00015924941,0.00008896482,0.0000017577829,0.000053004886,0.0016017376],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983108,0.00015551402,0.00040624817,0.00027643016,0.00047708594,0.00037393506],"domain_scores_gemma":[0.9959576,0.0025445784,0.00015469134,0.0011728752,0.00009111159,0.00007912814],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004517958,0.00027722368,0.00032364394,0.000029795601,0.00048434013,0.000244431,0.00082578836,0.00009130972,0.00084167847],"category_scores_gemma":[0.00021595317,0.00013379609,0.00016725702,0.0001534713,0.00011078424,0.00007343789,0.00017365138,0.000311922,0.0012960751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002094248,0.00007837726,0.000014777117,0.0000439591,0.000070955575,0.000001683834,0.0004794974,0.0000052607074,0.00044118235,0.9904613,0.008274259,0.00010779959],"study_design_scores_gemma":[0.00033013267,0.0001152203,0.00007651141,0.000119612865,0.000038060785,0.000016125596,0.0001927381,0.0013702234,0.0020208128,0.9941648,0.0013545103,0.00020125501],"about_ca_topic_score_codex":0.0000018867523,"about_ca_topic_score_gemma":0.0000016881398,"teacher_disagreement_score":0.042057395,"about_ca_system_score_codex":0.000053464042,"about_ca_system_score_gemma":0.000040452294,"threshold_uncertainty_score":0.99948156},"labels":[],"label_agreement":null},{"id":"W2560723957","doi":"10.4153/cmb-2015-051-6","title":"Exact Morphism Category and Gorenstein-projective Representations","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Subcategory; Morphism; Quiver; Injective function; Projective test; Corollary; Pure mathematics; Algebra over a field; Combinatorics; Discrete mathematics","score_opus":0.05066601853832855,"score_gpt":0.2918375238262756,"score_spread":0.24117150528794704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2560723957","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7867528,0.0003475159,0.0035747516,0.010650618,0.00069527025,0.0013435986,0.00003626733,0.00023612056,0.19636305],"genre_scores_gemma":[0.993195,0.0000035559424,0.0034990094,0.00034611757,0.00016205052,0.00005741139,0.0000052704727,0.000042484644,0.0026890922],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998628,0.00008390202,0.00030610806,0.0003187726,0.00026165126,0.00040156321],"domain_scores_gemma":[0.99811405,0.00036025734,0.000074990996,0.00040514424,0.00013200707,0.0009135318],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003211171,0.00020485155,0.00031250756,0.00012610422,0.00013252175,0.000078886405,0.00018181604,0.00014407886,0.0019083585],"category_scores_gemma":[0.0013812993,0.00018042573,0.0000616224,0.0001317141,0.0001605281,0.00004282451,0.000060082682,0.00020767878,0.0008100882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006681476,0.000018535175,0.00003815715,0.000035902012,0.000028925939,0.000035089015,0.0012032363,0.0000013008295,0.0000039247866,0.9597914,0.03859885,0.00023797338],"study_design_scores_gemma":[0.00043027126,0.000048071255,0.000070961854,0.000028757557,0.000041390584,0.00007164265,0.0010404924,0.00012332534,0.00004817142,0.99030584,0.007571648,0.00021942859],"about_ca_topic_score_codex":0.003246214,"about_ca_topic_score_gemma":0.0006858574,"teacher_disagreement_score":0.20644219,"about_ca_system_score_codex":0.00018241335,"about_ca_system_score_gemma":0.00030001282,"threshold_uncertainty_score":0.9999679},"labels":[],"label_agreement":null},{"id":"W2561424964","doi":"10.1088/1751-8121/aa6f3a","title":"Tridiagonal representations of the<i>q</i>-oscillator algebra and Askey–Wilson polynomials","year":2017,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Algebra over a field; Tridiagonal matrix; Orthogonal polynomials; Class (philosophy); Matrix algebra; Boolean algebra","score_opus":0.022025775328068754,"score_gpt":0.30452966881334115,"score_spread":0.2825038934852724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2561424964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99532074,0.00006433887,0.002156455,0.0011854339,0.00023481846,0.00014388369,0.0000059982485,0.000004578859,0.00088373345],"genre_scores_gemma":[0.99707365,0.000023260041,0.0024935773,0.000029120201,0.00033257727,0.000002096352,8.5963855e-8,0.000015851601,0.000029789398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986142,0.000087080516,0.00058037165,0.00013251531,0.00041911818,0.00016672004],"domain_scores_gemma":[0.9977135,0.00088948925,0.000677233,0.00042598616,0.00014673383,0.00014706518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005141677,0.00015358982,0.0005256544,0.000022901348,0.00024649117,0.0001121814,0.00035483702,0.00009021101,0.00005761967],"category_scores_gemma":[0.0015949478,0.00008795637,0.00021179122,0.000040572766,0.0011592403,0.00014646194,0.00024897687,0.00024603837,7.4876255e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052250798,0.00010943312,0.00018736377,0.00008545681,0.00007780312,0.000002523047,0.00030402004,3.2558165e-7,0.00044620072,0.9976197,0.00008503412,0.0010298772],"study_design_scores_gemma":[0.0007375416,0.00012303237,0.00065542647,0.00014776835,0.00016346599,0.0000839099,0.00007262803,0.00022524776,0.0046989126,0.9929801,0.000015543817,0.00009637702],"about_ca_topic_score_codex":0.0000013380846,"about_ca_topic_score_gemma":1.2509318e-7,"teacher_disagreement_score":0.004639566,"about_ca_system_score_codex":0.000011103622,"about_ca_system_score_gemma":0.00005936025,"threshold_uncertainty_score":0.4271269},"labels":[],"label_agreement":null},{"id":"W2565931874","doi":"10.1007/s10468-017-9691-2","title":"Positive Systems of Kostant Roots","year":2017,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Subalgebra; Lie algebra; Cartan subalgebra; Combinatorics; Mathematics; Simple (philosophy); Algebra over a field; Pure mathematics; Lie conformal algebra","score_opus":0.030167372251427935,"score_gpt":0.3225269571757752,"score_spread":0.2923595849243472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2565931874","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99052054,0.00038496224,0.0016600967,0.0000851572,0.00063284894,0.0002469613,0.0000073105434,0.000021699134,0.00644044],"genre_scores_gemma":[0.99909437,0.000042250795,0.00012244986,0.000013817953,0.000107943786,0.000009517162,0.000002349642,0.000013536604,0.00059374195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991909,0.000104250685,0.0002328925,0.00018385253,0.00017523218,0.00011283887],"domain_scores_gemma":[0.9986917,0.00035724946,0.0003348985,0.00047082527,0.000094199015,0.000051124593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028405106,0.00009941827,0.00021623755,0.0000355426,0.000265532,0.000084518404,0.0001722874,0.00006839653,0.00003127813],"category_scores_gemma":[0.00033758546,0.0000764475,0.00005393717,0.000025212717,0.00017027878,0.00015740265,0.000098986806,0.00006420566,0.0000017101131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058771737,0.000019145698,0.0016475172,0.000035049718,0.00006802718,0.000003305804,0.00050094404,0.0000021707808,0.0004597624,0.9958095,0.000091923226,0.001303871],"study_design_scores_gemma":[0.0004279381,0.000042719643,0.01800534,0.000051824994,0.00004555965,0.00000963591,0.0007065818,0.000052468295,0.003538519,0.9770148,0.000012858694,0.00009174832],"about_ca_topic_score_codex":0.00011918936,"about_ca_topic_score_gemma":0.0000026535674,"teacher_disagreement_score":0.018794704,"about_ca_system_score_codex":0.00000867925,"about_ca_system_score_gemma":0.000016564301,"threshold_uncertainty_score":0.31174386},"labels":[],"label_agreement":null},{"id":"W2570365662","doi":"10.4171/jems/986","title":"Exotic t-structures and actions of quantum affine algebras","year":2020,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Affine transformation; Quantum affine algebra; Mathematics; Pure mathematics; Langlands program; Quantum; Affine representation; Algebra over a field; Knot (papermaking); Affine geometry; Type (biology); Construct (python library); Computer science; Affine Lie algebra; Physics; Affine space; Algebra representation; Cellular algebra; Current algebra; Quantum mechanics; Engineering","score_opus":0.0896767267861956,"score_gpt":0.30261017894173464,"score_spread":0.21293345215553905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2570365662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9534132,0.00056363025,0.033604052,0.0044495924,0.0026207222,0.00065762014,0.000030044974,0.000067647285,0.0045935055],"genre_scores_gemma":[0.982805,0.000091075366,0.01586789,0.00012748614,0.00092194555,0.000001130551,5.6358226e-7,0.00007670804,0.00010819261],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972556,0.00042566154,0.001189834,0.00022909418,0.00068637106,0.00021341532],"domain_scores_gemma":[0.99675477,0.0005912277,0.0017069894,0.0005593894,0.00021224876,0.00017540077],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095042674,0.0003483861,0.000926144,0.00002848591,0.00013168872,0.000082088314,0.00095815,0.00018524106,0.00010427462],"category_scores_gemma":[0.0012678165,0.00020496103,0.0011251597,0.0001253542,0.0002737214,0.000058526344,0.0013700022,0.0014589827,0.0000028069444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027865255,0.0001388821,0.00002506537,0.001864298,0.0008212866,0.0000135339205,0.0036839682,0.00007780129,0.00063445093,0.9820857,0.010262451,0.0003646787],"study_design_scores_gemma":[0.0004101036,0.000063279185,0.00063453685,0.0004998865,0.0005594609,0.0001585721,0.00035610906,0.0007548045,0.00023076273,0.9959836,0.00015936045,0.00018953251],"about_ca_topic_score_codex":0.0000011538859,"about_ca_topic_score_gemma":1.277671e-7,"teacher_disagreement_score":0.029391823,"about_ca_system_score_codex":0.000060853283,"about_ca_system_score_gemma":0.00010905619,"threshold_uncertainty_score":0.8358068},"labels":[],"label_agreement":null},{"id":"W2582148562","doi":"10.1016/j.aim.2018.09.013","title":"Coproduct for Yangians of affine Kac–Moody algebras","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Coproduct; Affine transformation; Pure mathematics; Algebra over a field","score_opus":0.02639478503155452,"score_gpt":0.3408008700036302,"score_spread":0.3144060849720757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2582148562","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8727753,0.0019869672,0.09917411,0.00030032257,0.0028568844,0.0023138914,0.00004796221,0.00021636997,0.020328186],"genre_scores_gemma":[0.8410161,0.00008618766,0.15778321,0.000033072767,0.00046313292,0.0000617314,0.0000034131322,0.00005499182,0.00049812667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985212,0.000022994895,0.0006170971,0.00026557263,0.00026110187,0.00031204702],"domain_scores_gemma":[0.9982697,0.0006147576,0.00031699307,0.0005590185,0.00019531285,0.000044256543],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039556267,0.00020966848,0.0004971621,0.00009525384,0.000059957638,0.000012531627,0.00036155357,0.00009813314,0.00014283894],"category_scores_gemma":[0.0009457855,0.00017767173,0.00010620411,0.0002662068,0.00018816878,0.00018783304,0.00007179161,0.00009419934,0.000007902979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030953037,0.00018937999,0.000077305616,0.0005936255,0.000024566696,7.244338e-7,0.001856423,0.000012461344,0.00025972273,0.99393696,0.00037834223,0.0026395475],"study_design_scores_gemma":[0.0006799841,0.00021559774,0.000022465583,0.00014981159,0.000037462418,0.0000053655904,0.00038702576,0.00059413095,0.0081470795,0.986922,0.0026432835,0.00019575711],"about_ca_topic_score_codex":0.0000026613736,"about_ca_topic_score_gemma":0.000029682817,"teacher_disagreement_score":0.0586091,"about_ca_system_score_codex":0.000036873087,"about_ca_system_score_gemma":0.000036613754,"threshold_uncertainty_score":0.7245243},"labels":[],"label_agreement":null},{"id":"W2582538701","doi":"10.1007/s40879-017-0156-2","title":"W-algebras for Argyres–Douglas theories","year":2017,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Vertex operator algebra; Operator algebra; Pure mathematics; Hamiltonian (control theory); Conformal field theory; Mathematics; Vertex (graph theory); Physics; Lie conformal algebra; Mathematical physics; Current algebra; Lie algebra; Discrete mathematics; Algebra over a field; Conformal map; Graph; Jordan algebra; Mathematical analysis","score_opus":0.05549503219858416,"score_gpt":0.31592844350260446,"score_spread":0.2604334113040203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2582538701","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8613513,0.00023960286,0.1048818,0.0008082178,0.004521599,0.00042295014,0.000010684314,0.000058860922,0.027704976],"genre_scores_gemma":[0.9217444,0.000023394623,0.07601165,0.00004891848,0.0015133293,0.0000017874419,3.600012e-7,0.00008202477,0.00057411956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983495,0.00011086469,0.00080612703,0.00012105388,0.00036508945,0.00024737927],"domain_scores_gemma":[0.9964307,0.0005770264,0.0017540616,0.0007691797,0.00034564693,0.00012339996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019848675,0.00021314573,0.00047307438,0.0000649685,0.00045475262,0.0002898183,0.0011605463,0.000039313603,0.000047771715],"category_scores_gemma":[0.0034367002,0.00015318741,0.00031675704,0.000026228005,0.00014683895,0.00024065051,0.00015839926,0.00022074112,0.000012689142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003718096,0.00009958567,0.000027804866,0.00014392595,0.000118523676,0.00003551928,0.0015091263,0.0000028542534,0.000050428942,0.99265707,0.004286329,0.0010316494],"study_design_scores_gemma":[0.0011757024,0.0002633334,0.00012649677,0.00019790606,0.0001204002,0.000121189325,0.0005662045,0.00006884479,0.0005359798,0.9928708,0.003777911,0.0001752374],"about_ca_topic_score_codex":3.9403525e-7,"about_ca_topic_score_gemma":5.367017e-7,"teacher_disagreement_score":0.060393114,"about_ca_system_score_codex":0.00002457997,"about_ca_system_score_gemma":0.000050488583,"threshold_uncertainty_score":0.6246801},"labels":[],"label_agreement":null},{"id":"W2582726746","doi":"10.1016/j.jalgebra.2018.08.015","title":"Graded division algebras over the field of real numbers","year":2018,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Science Foundation","keywords":"Mathematics; Division (mathematics); Division algebra; Field (mathematics); Division ring; Pure mathematics; Algebra over a field; Arithmetic; Algebra representation","score_opus":0.01985595434845402,"score_gpt":0.3240367900536585,"score_spread":0.3041808357052045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2582726746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99516946,0.00007214072,0.0005716446,0.00065297505,0.0015113332,0.000095451294,8.133836e-7,0.000011165318,0.0019150116],"genre_scores_gemma":[0.9979822,0.000041819854,0.0006999818,0.00030803063,0.00085378054,7.5617214e-7,1.8211293e-7,0.000020325082,0.00009292367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983702,0.00008852062,0.0006554667,0.00010754063,0.0005790972,0.0001992333],"domain_scores_gemma":[0.9977138,0.00082751387,0.0007527455,0.00034409217,0.00027588775,0.00008594635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000490569,0.00014832118,0.00035610556,0.000077444514,0.000107960965,0.00003174421,0.0004888605,0.00012264367,0.00043575588],"category_scores_gemma":[0.0005630417,0.000086648906,0.00026186235,0.00019355948,0.00013013909,0.0001578076,0.000098508644,0.00029427893,0.0000047430512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018012602,0.00010456356,0.002083223,0.000034463963,0.00021956443,0.000011023525,0.0019119364,0.000001072371,0.00082411926,0.9558322,0.03662993,0.002167782],"study_design_scores_gemma":[0.0007175283,0.0006402024,0.0064850156,0.00008417952,0.000083926505,0.000033896515,0.00017673514,0.000018118286,0.0077564213,0.983185,0.0007112831,0.00010767891],"about_ca_topic_score_codex":0.000051504623,"about_ca_topic_score_gemma":0.000011250522,"teacher_disagreement_score":0.035918646,"about_ca_system_score_codex":0.000030268071,"about_ca_system_score_gemma":0.00007738062,"threshold_uncertainty_score":0.47712213},"labels":[],"label_agreement":null},{"id":"W2583535294","doi":"10.5802/jep.68","title":"An equivalence between truncations of categorified quantum groups and Heisenberg categories","year":2017,"lang":"en","type":"article","venue":"Journal de l’École polytechnique — Mathématiques","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Université de Montpellier; Agence Nationale de la Recherche","keywords":"Categorification; Mathematics; Diagrammatic reasoning; Fock space; Functor; Pure mathematics; Quantum group; Derived category; Algebra over a field; Representation theory; Quantum mechanics; Physics","score_opus":0.03914959064298938,"score_gpt":0.34225578292787895,"score_spread":0.30310619228488955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2583535294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93384105,0.00015273201,0.06397399,0.00059117953,0.00021231241,0.00033918052,0.000017229584,0.0001567862,0.0007155441],"genre_scores_gemma":[0.9789398,0.00027991633,0.020163389,0.00005268282,0.00040695927,0.00004218675,0.0000028646184,0.000049812166,0.000062433195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980758,0.00017677873,0.00073577836,0.00025493596,0.00036582613,0.00039088633],"domain_scores_gemma":[0.99717295,0.00025663667,0.0011061524,0.0009219958,0.0002749201,0.00026732555],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009456891,0.00029188086,0.00058379717,0.00015866755,0.00077247224,0.00042343428,0.0008762823,0.00029490737,0.000023201657],"category_scores_gemma":[0.00046326834,0.00025248792,0.00013107233,0.00007406501,0.00027102337,0.0006545753,0.00015996037,0.00052919576,7.7504825e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028140057,0.00007325197,0.01079322,0.00015476727,0.00005939683,0.000013029578,0.0013724215,0.0000027384237,0.0033636796,0.9825418,0.00012656259,0.0014709653],"study_design_scores_gemma":[0.00026412075,0.000261557,0.030722486,0.00014013736,0.00009281391,0.00012375784,0.00023568411,0.0005212588,0.018265517,0.94906896,0.000040266463,0.0002634588],"about_ca_topic_score_codex":0.00024771658,"about_ca_topic_score_gemma":0.000024916053,"teacher_disagreement_score":0.045098715,"about_ca_system_score_codex":0.00008837456,"about_ca_system_score_gemma":0.00019696128,"threshold_uncertainty_score":0.9999927},"labels":[],"label_agreement":null},{"id":"W2584337642","doi":"10.70930/tac/4fjly65t","title":"Bourn-normal monomorphisms in regular Mal'tsev categories","year":2017,"lang":"en","type":"preprint","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Morphism; Equivalence (formal languages); Normality; Equivalence relation; Property (philosophy); Focus (optics); Pure mathematics; Statistics","score_opus":0.020104303951726948,"score_gpt":0.2864092065564529,"score_spread":0.26630490260472595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2584337642","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94537294,0.0052297534,0.033717982,0.0005564054,0.00071405526,0.002244168,0.00013074385,0.00017322168,0.011860761],"genre_scores_gemma":[0.99674326,0.00036986094,0.00079392584,0.000013924876,0.00027763884,0.00061991933,0.000047997048,0.000041820025,0.0010916436],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983188,0.00013865523,0.0006025885,0.00044760495,0.00021755653,0.0002748016],"domain_scores_gemma":[0.9972967,0.0003849344,0.0006713519,0.0014092745,0.00015340667,0.00008436105],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009199444,0.00036217648,0.0007083985,0.00015356934,0.00029527422,0.0001248019,0.0007998523,0.00039950467,0.000057650406],"category_scores_gemma":[0.00015805078,0.00033874254,0.00012243488,0.00008394826,0.00075454667,0.00014509882,0.0006961901,0.0005103916,0.0000029355697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001033475,0.000058968526,0.00016545785,0.00041748155,0.00006684579,0.0000015270323,0.0012210709,0.000028220335,0.00002520264,0.995084,0.000093357,0.0027345347],"study_design_scores_gemma":[0.00030892206,0.000025645362,0.00034113796,0.00007006623,0.000108236454,0.000007827592,0.00073911215,0.000015232458,0.0021751907,0.99412185,0.0017580455,0.00032873353],"about_ca_topic_score_codex":0.00012013416,"about_ca_topic_score_gemma":0.000024037095,"teacher_disagreement_score":0.05137036,"about_ca_system_score_codex":0.00003808129,"about_ca_system_score_gemma":0.00017400712,"threshold_uncertainty_score":0.9999065},"labels":[],"label_agreement":null},{"id":"W2592297930","doi":"10.1007/jhep12(2017)078","title":"Surface defect indices and 2d-4d BPS states","year":2017,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Conjecture; Surface (topology); Sigma; Coulomb; Spectrum (functional analysis); Phase (matter); Genus; Infrared","score_opus":0.021658089354774524,"score_gpt":0.2753465029568764,"score_spread":0.25368841360210187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2592297930","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918679,0.000287394,0.006728611,0.00012846876,0.0007120916,0.000019630243,0.0000028045692,0.000008881074,0.00024420506],"genre_scores_gemma":[0.99733573,0.00018727122,0.0017231329,0.00004093937,0.00059711124,4.064913e-7,6.259327e-7,0.000021207516,0.00009359903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915135,0.000037531365,0.0002668477,0.000101558195,0.0002842499,0.00015845055],"domain_scores_gemma":[0.9984944,0.00018962607,0.000813904,0.0002816594,0.00013047711,0.00008995869],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014883377,0.00014172235,0.00033667716,0.000019439116,0.0003070217,0.00021097368,0.000318362,0.00006485595,0.00000968197],"category_scores_gemma":[0.00006674216,0.00010470789,0.00012476371,0.000027344255,0.000102245394,0.0003212639,0.000099663914,0.00015910287,4.273249e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003342462,0.000039433322,0.00044174073,0.000019291145,0.00014591115,0.000014492728,0.00020469067,0.0001828511,0.000055914552,0.9965535,0.00048073713,0.0018280275],"study_design_scores_gemma":[0.00059633097,0.00013407847,0.00061968673,0.000045166635,0.00009286086,0.000021604132,0.000041198142,0.000060350467,0.003560465,0.994268,0.00043874574,0.000121515164],"about_ca_topic_score_codex":0.00012048686,"about_ca_topic_score_gemma":0.0000117095005,"teacher_disagreement_score":0.005467793,"about_ca_system_score_codex":0.000021595182,"about_ca_system_score_gemma":0.000054390857,"threshold_uncertainty_score":0.4269864},"labels":[],"label_agreement":null},{"id":"W2592403877","doi":"10.1016/j.aam.2017.12.008","title":"Minimal length maximal green sequences","year":2018,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annulus (botany); Surface (topology); Representation (politics); String (physics); Cluster (spacecraft)","score_opus":0.025317636798873562,"score_gpt":0.3064135827271363,"score_spread":0.28109594592826276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2592403877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7796389,0.00060209393,0.018286673,0.00016748936,0.0012604924,0.001095098,0.000011035664,0.00038974494,0.19854851],"genre_scores_gemma":[0.8485148,0.000048071644,0.15064116,0.00007785858,0.00042354153,0.00006977684,0.0000016558091,0.000045408175,0.0001777456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981345,0.000016327684,0.00058565766,0.0003741191,0.00042450495,0.0004649077],"domain_scores_gemma":[0.99859935,0.0005066244,0.0002536237,0.0005027332,0.000054558415,0.000083136045],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030342306,0.00029960903,0.00046325344,0.00010458309,0.00011825634,0.000035933062,0.00050286925,0.00014455915,0.00016505808],"category_scores_gemma":[0.00014948171,0.00025371002,0.00006919675,0.00030845008,0.00031845583,0.00018595369,0.00014571231,0.00021466927,0.000072867966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030405692,0.000101295926,0.00008756077,0.00019942051,0.000012201398,0.0000047798853,0.0016047383,0.0000032017315,0.0001420078,0.9922875,0.0000832582,0.00544363],"study_design_scores_gemma":[0.00052886095,0.000097414566,0.000024649087,0.00006280618,0.000022332513,0.000013509669,0.00082820625,0.000421223,0.0019682907,0.9933171,0.0024045783,0.00031102923],"about_ca_topic_score_codex":0.000007638706,"about_ca_topic_score_gemma":0.000057970683,"teacher_disagreement_score":0.19837077,"about_ca_system_score_codex":0.000068138776,"about_ca_system_score_gemma":0.000043738284,"threshold_uncertainty_score":0.99999154},"labels":[],"label_agreement":null},{"id":"W2594556785","doi":"10.1016/j.jalgebra.2006.12.018","title":"Large restricted Lie algebras","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Representation of a Lie group; Counterexample; Adjoint representation of a Lie algebra; Pure mathematics; Lie algebra; Killing form; Simple Lie group; Algebra over a field; Lie theory; Lie conformal algebra; Lie group; Discrete mathematics","score_opus":0.0242305960854455,"score_gpt":0.3033445526055087,"score_spread":0.2791139565200632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594556785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9853215,0.00037683774,0.009613192,0.0002671233,0.001804723,0.00010698654,0.0000017071101,0.000041096537,0.0024668064],"genre_scores_gemma":[0.99409467,0.000033820434,0.004108043,0.00023875768,0.0012341271,5.547966e-7,7.0625384e-7,0.000037837945,0.00025150098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977466,0.000055027827,0.00092984934,0.00014194331,0.00067104,0.0004555447],"domain_scores_gemma":[0.9978539,0.00050772785,0.0007406067,0.00029833976,0.00035123536,0.00024823996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010011564,0.00019988373,0.00043468052,0.00025059553,0.00011134585,0.000049063085,0.00042448565,0.00018382598,0.00030058666],"category_scores_gemma":[0.0007809081,0.00015528088,0.00027068367,0.00037548307,0.00003805036,0.00022590352,0.00007813237,0.00049636886,0.00001537212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016449607,0.00016779758,0.0005736953,0.000022382103,0.00013131922,0.00017190614,0.000540164,6.7383803e-7,0.00053441914,0.98624414,0.010360194,0.0010888374],"study_design_scores_gemma":[0.0014378298,0.0002748364,0.004191814,0.000054426844,0.00008206319,0.00023931923,0.0003051698,0.0000053436,0.0024941275,0.98393655,0.0067934026,0.00018514355],"about_ca_topic_score_codex":0.0000027655433,"about_ca_topic_score_gemma":0.0000050921526,"teacher_disagreement_score":0.008773124,"about_ca_system_score_codex":0.0000916537,"about_ca_system_score_gemma":0.00012193366,"threshold_uncertainty_score":0.63321704},"labels":[],"label_agreement":null},{"id":"W2597538956","doi":"10.4153/cmb-2017-017-7","title":"Classification of Simple Weight Modules over the Schrödinger Algebra","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Centralizer and normalizer; Krull dimension; Global dimension; Weyl algebra; Algebra over a field; Pure mathematics; Prime (order theory); Cellular algebra; Simple (philosophy); Universal enveloping algebra; Simple module; Algebra representation; Combinatorics","score_opus":0.034055381526830644,"score_gpt":0.28139704818742395,"score_spread":0.24734166666059332,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2597538956","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96427697,0.000057207842,0.000980087,0.0070412736,0.00028887088,0.0004439123,0.000021483836,0.000037440383,0.026852742],"genre_scores_gemma":[0.99788374,0.0000046729506,0.00088075874,0.0001846752,0.00019666759,0.00003287036,0.0000028447432,0.000036053847,0.0007777113],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986228,0.0000540607,0.00040035162,0.00023749056,0.0003111806,0.00037416394],"domain_scores_gemma":[0.9976079,0.0004010523,0.0002970567,0.0013202012,0.00010213559,0.00027163807],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003993306,0.00019020398,0.00032348558,0.00006181197,0.0005617355,0.00014659857,0.0008684389,0.00015852411,0.007671328],"category_scores_gemma":[0.0015489069,0.00012871699,0.00013896788,0.000047571226,0.00031507996,0.000051949923,0.00009059772,0.00020175653,0.00044607895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042478505,0.000020096319,0.00019089562,0.000062458086,0.00003248418,0.0000028617928,0.00015414957,2.9767475e-7,0.00004666893,0.97574717,0.023210254,0.0005283952],"study_design_scores_gemma":[0.00023641436,0.000016445245,0.0062608235,0.000053469,0.0000440712,0.0000050868352,0.00007144803,0.0003756525,0.00018699376,0.97175914,0.020831665,0.0001588019],"about_ca_topic_score_codex":0.0009478053,"about_ca_topic_score_gemma":0.00065287657,"teacher_disagreement_score":0.033606764,"about_ca_system_score_codex":0.00008280628,"about_ca_system_score_gemma":0.00011222331,"threshold_uncertainty_score":0.99323577},"labels":[],"label_agreement":null},{"id":"W2598582088","doi":"10.46298/dmtcs.2719","title":"$m$-noncrossing partitions and $m$-clusters","year":2009,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada; Norges Forskningsråd","keywords":"Bijection, injection and surjection; Catalan number; Mathematics; Combinatorics; Bijection; Catalan; Integer (computer science); Cluster algebra; Generalization; Humanities; Physics","score_opus":0.018652209796805874,"score_gpt":0.2931584082203317,"score_spread":0.2745061984235258,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2598582088","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42602456,0.000027005504,0.56586874,0.0010456559,0.00034112553,0.00027215862,0.0000025207694,0.00016792941,0.0062503],"genre_scores_gemma":[0.8477567,0.000002691574,0.1518115,0.0002881781,0.00011284416,0.0000041291974,5.817482e-7,0.000012379936,0.0000110435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998022,0.0000398074,0.00038338045,0.0004525305,0.00058529025,0.0005169975],"domain_scores_gemma":[0.9986103,0.00035627073,0.00010952269,0.00054053444,0.00010744814,0.00027590335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074240955,0.00023552508,0.00031580223,0.000097653836,0.0006589239,0.0005358019,0.000555149,0.00006960119,0.000058313504],"category_scores_gemma":[0.00023697522,0.00017870845,0.00008078936,0.000391654,0.002097818,0.0002849694,0.00026423566,0.00018590767,0.000007845144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042056236,0.000043059066,0.000004263015,0.00002131627,0.0000048838806,0.00000344961,0.001354272,0.0000066265616,0.00015627359,0.99668,0.000048377588,0.0016732807],"study_design_scores_gemma":[0.00021875423,0.00013231131,0.00007229758,0.00008067281,0.000025731686,0.000041340096,0.00008574605,0.06742689,0.00043225687,0.93124133,0.00001399967,0.00022865928],"about_ca_topic_score_codex":5.7915594e-7,"about_ca_topic_score_gemma":1.8896058e-7,"teacher_disagreement_score":0.42173213,"about_ca_system_score_codex":0.00003324234,"about_ca_system_score_gemma":0.000051111718,"threshold_uncertainty_score":0.7729498},"labels":[],"label_agreement":null},{"id":"W2599487098","doi":"10.46298/dmtcs.2336","title":"Gale-Robinson Sequences and Brane Tilings","year":2013,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Mathematics; Cluster (spacecraft); Cluster algebra; Combinatorics; Brane; Principal (computer security); Mathematical physics; Statistical physics; Physics; Computer science","score_opus":0.015198092366820097,"score_gpt":0.2694502442087206,"score_spread":0.25425215184190053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2599487098","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8053413,0.000050198552,0.18532713,0.0006478126,0.0003907804,0.0005425497,0.0000021052983,0.0001755907,0.0075225015],"genre_scores_gemma":[0.8715031,0.000009026686,0.12812561,0.00016173595,0.00011637695,0.000021463886,5.8281773e-7,0.000023008759,0.000039060393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997596,0.000050618775,0.0004561485,0.0005646844,0.00075223896,0.0005803009],"domain_scores_gemma":[0.99811834,0.00061523187,0.00014544006,0.0006067607,0.00019852238,0.00031569376],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00074340036,0.00029778868,0.00040837776,0.00010728728,0.00038387347,0.0005658773,0.00087479275,0.00009523629,0.00036770655],"category_scores_gemma":[0.00029996576,0.00020952121,0.00008463187,0.0003886381,0.0028392735,0.00043355496,0.0005452738,0.00022358734,0.000038339374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023096768,0.000032992204,0.0000130378,0.00007866016,0.000008767718,0.0000021662663,0.0011197937,0.0000021660926,0.0007300193,0.996841,0.00011006946,0.001058985],"study_design_scores_gemma":[0.00018865863,0.00010483856,0.000046043522,0.00009475674,0.000021370268,0.000044217446,0.00012796318,0.08402664,0.0011884274,0.91387117,0.000017051367,0.00026884122],"about_ca_topic_score_codex":0.000009222316,"about_ca_topic_score_gemma":4.4615112e-7,"teacher_disagreement_score":0.084024474,"about_ca_system_score_codex":0.000030704537,"about_ca_system_score_gemma":0.00006868861,"threshold_uncertainty_score":0.9998744},"labels":[],"label_agreement":null},{"id":"W2600314516","doi":"10.1023/a:1001830622499","title":"Representations of Extended Affine Lie Algebras Coordinatized by Certain Quantum Tori","year":2000,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Yale University","keywords":"Mathematics; Fock space; Pure mathematics; Affine transformation; Vertex (graph theory); Quantum affine algebra; Algebra over a field; Realization (probability); Affine Lie algebra; Torus; Lie algebra; Discrete mathematics; Current algebra; Algebra representation; Cellular algebra; Geometry; Graph","score_opus":0.02004819588828585,"score_gpt":0.2998122674323401,"score_spread":0.27976407154405425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2600314516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9510951,0.00027199404,0.007867156,0.0010761769,0.0003481112,0.0010133289,0.00006549188,0.00031728466,0.03794536],"genre_scores_gemma":[0.9869141,0.000022837496,0.009701386,0.00007209494,0.00011007727,0.00008196031,0.000038002418,0.00005997774,0.002999561],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99785537,0.00013053026,0.0008198592,0.0003589852,0.00048564284,0.00034958942],"domain_scores_gemma":[0.9978219,0.00082755974,0.0002706075,0.000795546,0.00014406124,0.0001402735],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022971208,0.00030008095,0.0006701914,0.000081006074,0.00017471622,0.000054894692,0.00045080562,0.0001372943,0.0047670756],"category_scores_gemma":[0.00018236977,0.00027026996,0.00021365003,0.0002977486,0.00014003612,0.00014222648,0.00006870222,0.00017440435,0.000066035616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007795014,0.0005310384,0.000006486093,0.00018095344,0.00012430265,0.0000049388095,0.0008545041,0.0000053478534,0.00428862,0.97171634,0.021226509,0.0009830326],"study_design_scores_gemma":[0.0011893238,0.00013382477,0.000044003973,0.00012391478,0.00012543327,0.000025727095,0.00014710933,0.0013600719,0.0077174976,0.98823595,0.00060943776,0.0002876878],"about_ca_topic_score_codex":0.000026982001,"about_ca_topic_score_gemma":0.0000013508284,"teacher_disagreement_score":0.03581901,"about_ca_system_score_codex":0.00005556684,"about_ca_system_score_gemma":0.000043969267,"threshold_uncertainty_score":0.99997497},"labels":[],"label_agreement":null},{"id":"W2601440360","doi":"10.1007/s11425-017-9308-1","title":"Homological behavior of idempotent subalgebras and Ext algebras","year":2019,"lang":"en","type":"preprint","venue":"Science China Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Carleton University","funders":"","keywords":"Mathematics; Global dimension; Dimension (graph theory); Idempotence; Pure mathematics; Conjecture; Noetherian; Ring (chemistry); Discrete mathematics; Algebra over a field","score_opus":0.04446688197950041,"score_gpt":0.32313993748880515,"score_spread":0.27867305550930477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2601440360","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922948,0.00030338104,0.0028530052,0.000098309625,0.0015437625,0.0012359708,0.000024744355,0.00010597136,0.0015400836],"genre_scores_gemma":[0.9677284,0.000071564216,0.03175849,0.00002291857,0.00009983815,0.00006814409,0.0000038409803,0.00005205437,0.0001947798],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99597,0.00006510374,0.0010398806,0.00094222097,0.0013697897,0.00061297265],"domain_scores_gemma":[0.99658287,0.00036234356,0.0009641818,0.001588281,0.00025968827,0.00024262693],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015363728,0.00057664874,0.0012145613,0.0002868367,0.00021063453,0.00018990866,0.0016205884,0.0004923603,0.00012084862],"category_scores_gemma":[0.0011734822,0.00044096442,0.00026138735,0.0003933208,0.0014023627,0.00018088178,0.0026479708,0.00079150655,0.000011709249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000075907888,0.00035667847,0.00074451714,0.001244263,0.000034055312,0.000010305351,0.0026935972,0.000025825966,0.00076522323,0.9934981,0.000102289356,0.0005175779],"study_design_scores_gemma":[0.0002815035,0.00012961529,0.0038722726,0.00033641726,0.00019297643,0.000057077807,0.00031117498,0.0012732544,0.0023493494,0.9907106,0.000005117654,0.00048061003],"about_ca_topic_score_codex":0.000026036123,"about_ca_topic_score_gemma":0.0000017713672,"teacher_disagreement_score":0.028905487,"about_ca_system_score_codex":0.00012695574,"about_ca_system_score_gemma":0.00047347852,"threshold_uncertainty_score":0.9998042},"labels":[],"label_agreement":null},{"id":"W2602942862","doi":"10.1007/jhep11(2017)039","title":"Positive geometries and canonical forms","year":2017,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":159,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Goddard Space Flight Center; Princeton University; U.S. Department of Energy; National Science Foundation","keywords":"Canonical form; Connection (principal bundle); Gravitational singularity; Loop (graph theory); Boundary (topology); Triangulation; Differential form; Class (philosophy); Tree (set theory)","score_opus":0.019011148520085473,"score_gpt":0.27424777457409744,"score_spread":0.255236626054012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2602942862","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840091,0.0001342018,0.013887053,0.00031786264,0.0006618869,0.000019926883,0.0000033901558,0.0000057090415,0.0009608783],"genre_scores_gemma":[0.99829453,0.00007190572,0.00076465023,0.000053622338,0.0006720484,5.581827e-7,3.7787166e-7,0.00001359613,0.00012868656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999311,0.000012292955,0.00022813422,0.0000757056,0.00024239211,0.0001304764],"domain_scores_gemma":[0.99884635,0.00015270659,0.000533485,0.00022342656,0.00016140252,0.00008263927],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009443718,0.00010484596,0.00029200167,0.000029182964,0.00022818391,0.000110282235,0.00024189733,0.000060618808,0.000005276802],"category_scores_gemma":[0.00013762563,0.00007267652,0.00009257887,0.00003102137,0.00009954329,0.0002989574,0.00009989979,0.00013606653,2.1597977e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004019051,0.00002976679,0.00008476793,0.000005767337,0.00008623662,0.000013779065,0.00005972586,0.000004184085,0.000029039395,0.99581665,0.00024193099,0.0035879926],"study_design_scores_gemma":[0.0005797416,0.00016818731,0.0018297406,0.000031522453,0.00005441374,0.000041877374,0.00001900749,0.000006531875,0.004775974,0.99215627,0.00024692557,0.000089834495],"about_ca_topic_score_codex":0.0000755248,"about_ca_topic_score_gemma":0.000008754902,"teacher_disagreement_score":0.014285463,"about_ca_system_score_codex":0.000029624867,"about_ca_system_score_gemma":0.00006526464,"threshold_uncertainty_score":0.29636624},"labels":[],"label_agreement":null},{"id":"W2603743251","doi":"10.46298/dmtcs.2730","title":"Brauer-Schur functions","year":2009,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Schur algebra; Schur's theorem; Schur's lemma; Schur complement; Schur polynomial; Schur product theorem; Pure mathematics; Schur decomposition; Eigenvalues and eigenvectors; Macdonald polynomials","score_opus":0.017449121516691687,"score_gpt":0.28142609859823053,"score_spread":0.26397697708153883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2603743251","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16064538,0.000023711647,0.8137335,0.0010254189,0.00088622235,0.0003605736,0.000004003698,0.0003231374,0.022998035],"genre_scores_gemma":[0.8717782,0.0000017273766,0.12752046,0.00033482158,0.00026682988,0.0000070629394,0.0000013533007,0.000019592551,0.00006994555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99719924,0.000049162016,0.0005148877,0.00058227906,0.0009789158,0.00067550875],"domain_scores_gemma":[0.9979262,0.00041386118,0.00014758213,0.0009807382,0.00020201501,0.00032962285],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008862185,0.0003160253,0.0004043312,0.00015043045,0.0005818851,0.00036547618,0.0011673837,0.000100842575,0.00030735135],"category_scores_gemma":[0.0003599792,0.00023505138,0.00017676379,0.00075351674,0.0013696726,0.0002915924,0.0002937824,0.0002880142,0.00007604514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000066916327,0.00010921968,0.000005246796,0.000017430499,0.0000095687765,0.000004100789,0.0005698468,0.000009790728,0.00018141359,0.996448,0.00023705002,0.0024016588],"study_design_scores_gemma":[0.00025095453,0.00021981884,0.000082956314,0.0000551353,0.00003875249,0.000027722795,0.0000697903,0.045059882,0.0005504699,0.95326746,0.00007059691,0.00030648956],"about_ca_topic_score_codex":8.9394916e-7,"about_ca_topic_score_gemma":3.1224224e-7,"teacher_disagreement_score":0.7111328,"about_ca_system_score_codex":0.000053126616,"about_ca_system_score_gemma":0.0000847085,"threshold_uncertainty_score":0.9585117},"labels":[],"label_agreement":null},{"id":"W2605354944","doi":"10.1016/j.aim.2019.01.009","title":"Group actions on cluster algebras and cluster categories","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Cluster algebra; Cluster (spacecraft); Group (periodic table); Mathematics; Rank (graph theory); Orbifold; Group action; Orbit (dynamics); Pure mathematics; Space (punctuation); Type (biology); Action (physics); Algebra over a field; Combinatorics; Computer science; Physics","score_opus":0.03078717896710951,"score_gpt":0.32264334514661985,"score_spread":0.2918561661795103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605354944","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9183096,0.003989611,0.035408165,0.0008901506,0.009944002,0.0041221585,0.000067475805,0.00041697954,0.026851822],"genre_scores_gemma":[0.96255493,0.0015221009,0.03356565,0.00029450277,0.00042606343,0.00025006966,0.000021069665,0.00015756456,0.0012080639],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976257,0.00009532681,0.0007643867,0.00063433184,0.0004656915,0.0004145773],"domain_scores_gemma":[0.9968374,0.0014549429,0.0005026607,0.0010505271,0.0000697531,0.0000847472],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00037584745,0.00057384983,0.0008983608,0.00020336005,0.000100544006,0.00013046192,0.00046393016,0.00050480786,0.00006690846],"category_scores_gemma":[0.00038653202,0.00048493122,0.00015034208,0.00012964733,0.00014142101,0.00025637224,0.0007780934,0.0010067993,0.000029487726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038134494,0.00018568781,0.00012178614,0.0021649995,0.0000571477,0.0000034291688,0.0024267584,0.0012532509,0.0000017584382,0.9923433,0.00036722465,0.001036509],"study_design_scores_gemma":[0.00069174863,0.00007352326,0.00004548545,0.00068129983,0.00008066935,0.000013004997,0.0005952307,0.0031528487,0.00003091553,0.9924214,0.001701392,0.0005124633],"about_ca_topic_score_codex":0.000009279189,"about_ca_topic_score_gemma":0.00005665405,"teacher_disagreement_score":0.044245277,"about_ca_system_score_codex":0.00014663223,"about_ca_system_score_gemma":0.00005244985,"threshold_uncertainty_score":0.9997602},"labels":[],"label_agreement":null},{"id":"W2605581897","doi":"10.1016/j.jalgebra.2019.02.015","title":"Extensions of modules for twisted current algebras","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Current (fluid); Simple (philosophy); Mathematics; Equivariant map; Pure mathematics; Block (permutation group theory); Decomposition; Point (geometry); Group (periodic table); Finite group; Action (physics); Algebra over a field; Combinatorics; Geometry; Physics","score_opus":0.0711728704036165,"score_gpt":0.35129852078504276,"score_spread":0.2801256503814262,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605581897","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95652324,0.004151718,0.025841597,0.00030660452,0.011964499,0.0009556905,0.00007911498,0.00002907438,0.00014846527],"genre_scores_gemma":[0.98429334,0.00033786875,0.0138865635,0.00003702214,0.0012310141,0.0000150581545,0.000011257486,0.000088814246,0.00009904339],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99677116,0.00010496312,0.0017130907,0.00032367537,0.00075534545,0.0003317542],"domain_scores_gemma":[0.99379563,0.0007980556,0.0030846465,0.0007923437,0.001359487,0.00016985007],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00065922644,0.00043413226,0.0015121105,0.00031866456,0.000057807578,0.000052246138,0.00086250657,0.00042554463,0.00007418797],"category_scores_gemma":[0.00097605534,0.00034275884,0.0011584355,0.000115312694,0.00008400635,0.000103907645,0.00047677773,0.0010199074,0.0000028905642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00036274927,0.0004782948,0.00015052583,0.002425205,0.00090718456,0.000008512252,0.0007939524,0.0005971121,0.00036459495,0.96813077,0.019517303,0.006263772],"study_design_scores_gemma":[0.0012860005,0.00029556346,0.0004509242,0.0012515207,0.00055078184,0.000039601055,0.00008133983,0.0004780796,0.0010928719,0.99271077,0.0014358744,0.0003266857],"about_ca_topic_score_codex":0.0000054038414,"about_ca_topic_score_gemma":0.0000014218177,"teacher_disagreement_score":0.02777012,"about_ca_system_score_codex":0.00011477992,"about_ca_system_score_gemma":0.0004964727,"threshold_uncertainty_score":0.9999024},"labels":[],"label_agreement":null},{"id":"W2608103816","doi":"10.1007/s11005-018-1098-4","title":"Modularity of logarithmic parafermion vertex algebras","year":2018,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Australian Research Council","keywords":"Irreducible representation; Coset; Mathematics; Conjecture; Vertex (graph theory); Combinatorics; Fusion rules; Vertex operator algebra; Logarithm; Operator (biology); Pure mathematics; Discrete mathematics; Algebra over a field; Graph; Algebra representation; Image (mathematics); Computer science","score_opus":0.03553813558838457,"score_gpt":0.30381950040401096,"score_spread":0.26828136481562637,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608103816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93179137,0.0000059466392,0.06540507,0.000338083,0.00029075705,0.00026813452,0.0000020682173,0.000052340594,0.0018462099],"genre_scores_gemma":[0.9872462,0.0000010228185,0.011981723,0.0004364195,0.00026536715,0.000014939612,0.0000016551595,0.000031990236,0.000020693244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984701,0.00007660422,0.00048740447,0.00026657537,0.00038282195,0.00031646749],"domain_scores_gemma":[0.9988085,0.00037820562,0.00015393387,0.00053892063,0.000060894767,0.000059564532],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002398859,0.00020991644,0.0004845664,0.000046219804,0.000048579917,0.000017002758,0.0003281061,0.000119795506,0.00010016889],"category_scores_gemma":[0.00023316215,0.00018336899,0.00012865114,0.00023958845,0.00030359582,0.00010877867,0.00011708683,0.00024308039,0.000041435043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020260059,0.0002018943,0.000120064644,0.00016938023,0.00002709727,0.0000038854687,0.0005946621,0.000005889432,0.001838347,0.9959421,0.00054557587,0.0005308518],"study_design_scores_gemma":[0.00048127782,0.000058482794,0.00020225994,0.00011442764,0.00002811576,0.0000033853887,0.000022480588,0.0029287974,0.0058477377,0.9901127,0.000013004753,0.00018729978],"about_ca_topic_score_codex":0.00000866503,"about_ca_topic_score_gemma":0.0000013326444,"teacher_disagreement_score":0.055454805,"about_ca_system_score_codex":0.000053442713,"about_ca_system_score_gemma":0.000018746085,"threshold_uncertainty_score":0.747757},"labels":[],"label_agreement":null},{"id":"W2608232999","doi":"10.1142/s0219498818502183","title":"Split t-structures and torsion pairs in hereditary categories","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas; Université de Sherbrooke","keywords":"Mathematics; Torsion (gastropod); Bijection; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.02624941157501878,"score_gpt":0.298128967303285,"score_spread":0.2718795557282662,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608232999","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99690664,0.0013683833,0.000242951,0.00079087366,0.00019260103,0.00016110468,0.0000028854356,0.0000066438183,0.00032789563],"genre_scores_gemma":[0.99815726,0.00033311185,0.001067038,0.000030604748,0.00034052736,0.000008504623,5.625011e-7,0.000010146323,0.000052218737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993025,0.000016863376,0.00030879088,0.00011385313,0.00014528086,0.00011273047],"domain_scores_gemma":[0.9991522,0.000099730365,0.00035267527,0.00021199926,0.00009246365,0.000090932546],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016744355,0.00010438279,0.00022119508,0.00006451653,0.0002794063,0.00009520061,0.000206335,0.000081525104,0.000020374335],"category_scores_gemma":[0.00012750352,0.00007912661,0.00003887725,0.000035944206,0.00007252744,0.0002582809,0.000080771046,0.00017581075,5.100365e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001890205,0.00002305495,0.0013131,0.00004211219,0.000021175785,0.00000453047,0.00034472242,6.0823373e-7,0.00013561237,0.99375194,0.00040173798,0.0039424803],"study_design_scores_gemma":[0.00041268615,0.00005378056,0.026590917,0.000025538679,0.000031282812,0.0000879981,0.00024669655,0.00003070535,0.00036979717,0.9707356,0.0013259633,0.00008900619],"about_ca_topic_score_codex":0.000014653778,"about_ca_topic_score_gemma":0.000010954237,"teacher_disagreement_score":0.025277818,"about_ca_system_score_codex":0.000016737575,"about_ca_system_score_gemma":0.00003516371,"threshold_uncertainty_score":0.32266894},"labels":[],"label_agreement":null},{"id":"W2608793953","doi":"10.1090/crmm/020/01","title":"𝐿²-cohomology, exhaustions with finite charge and theta series","year":2003,"lang":"en","type":"book-chapter","venue":"CRM monograph series","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Cohomology; Series (stratigraphy); Charge (physics); Mathematics; Pure mathematics; Physics; Algebra over a field; Particle physics; Geology; Paleontology","score_opus":0.02601109016348686,"score_gpt":0.23689450497071188,"score_spread":0.21088341480722503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608793953","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022936674,0.008300264,0.000489519,0.0016757613,0.0029617795,0.0022840577,0.00038229034,0.00085171557,0.96011794],"genre_scores_gemma":[0.094178066,0.007603698,0.00603544,0.0005387469,0.0008498983,0.00034340838,0.00020024927,0.0006892087,0.8895613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983962,0.000027879572,0.00040363576,0.0005415444,0.00025142077,0.00037932623],"domain_scores_gemma":[0.9985615,0.0001392253,0.00031980642,0.00069267064,0.00014585338,0.00014092828],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00010689941,0.00066482055,0.0007758376,0.00022938353,0.00038917363,0.00011914196,0.00022896776,0.0005771515,0.00046471707],"category_scores_gemma":[0.0000346494,0.0005280402,0.00019026078,0.00007768712,0.00089153514,0.00026488362,0.00011091234,0.00050237373,0.000009664649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010923712,0.000014384203,0.00008690905,0.0001386796,0.00030389777,0.000025308644,0.00045544325,6.133816e-7,0.0000022232716,0.9974284,0.001287698,0.00014718581],"study_design_scores_gemma":[0.0003491883,0.00034714624,0.000029479323,0.00016151954,0.00030312792,0.00017898524,0.00012440553,7.4751614e-7,0.000053714666,0.9130202,0.08485219,0.0005793141],"about_ca_topic_score_codex":0.000007556871,"about_ca_topic_score_gemma":0.000041104828,"teacher_disagreement_score":0.08440824,"about_ca_system_score_codex":0.00001867748,"about_ca_system_score_gemma":0.00005473199,"threshold_uncertainty_score":0.9997171},"labels":[],"label_agreement":null},{"id":"W2609441945","doi":"10.1093/imrn/rnz178","title":"Derived Equivalences for Symplectic Reflection Algebras","year":2019,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Research University Higher School of Economics; National Science Foundation","keywords":"Symplectic geometry; Pure mathematics; Functor; Mathematics; Reflection (computer programming); Sheaf; Sketch; Coherent sheaf; Algebra over a field; Gravitational singularity; Simple (philosophy); Mathematical analysis; Computer science; Epistemology","score_opus":0.31625374106610377,"score_gpt":0.49960510975660904,"score_spread":0.18335136869050528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609441945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9158575,0.00045588327,0.04363482,0.0025939553,0.013364451,0.0048410157,0.0001698393,0.00036333853,0.018719189],"genre_scores_gemma":[0.9624898,0.00008969009,0.032444607,0.00003998045,0.001472986,0.000734224,0.00006859601,0.00012855619,0.0025315734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9949056,0.00023291651,0.00093349133,0.0008792618,0.002323798,0.0007249429],"domain_scores_gemma":[0.9906336,0.0057531497,0.00065973034,0.0009360522,0.001872705,0.0001447733],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0024737807,0.0004643848,0.0007057663,0.00064706657,0.00030014076,0.0007462753,0.0020555984,0.0005524001,0.00037587187],"category_scores_gemma":[0.005613318,0.0004124212,0.00039341327,0.000217974,0.00020435265,0.00023678376,0.0014966492,0.0012415523,0.00008577323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008243034,0.00031508514,0.000056432225,0.0028788722,0.00065182213,0.000003221285,0.001606182,0.0005976094,0.00047586698,0.9896526,0.0032641974,0.00041567837],"study_design_scores_gemma":[0.0005233283,0.00016454338,0.000031425105,0.00082828104,0.00009173269,0.0000051080933,0.00051346124,0.028140318,0.0015749808,0.9669916,0.0007325118,0.00040268459],"about_ca_topic_score_codex":0.000055035027,"about_ca_topic_score_gemma":0.000048312075,"teacher_disagreement_score":0.04663228,"about_ca_system_score_codex":0.0005229934,"about_ca_system_score_gemma":0.00047381135,"threshold_uncertainty_score":0.99983275},"labels":[],"label_agreement":null},{"id":"W2610154912","doi":"10.4171/jncg/327","title":"On the anti-Yetter–Drinfeld module-contramodule correspondence","year":2019,"lang":"en","type":"preprint","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Functor; Mathematics; Equivalence (formal languages); Pure mathematics; Hopf algebra; Algebra over a field","score_opus":0.04591605026056992,"score_gpt":0.32176321869992364,"score_spread":0.2758471684393537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2610154912","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9761437,0.00041300955,0.013253741,0.0015717943,0.006108471,0.000546254,0.000040241073,0.00002662546,0.0018961417],"genre_scores_gemma":[0.996534,0.00006865337,0.0012852242,0.0008415897,0.0007987151,0.000011741697,0.0000032016333,0.00007583175,0.00038107872],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99604,0.0006339578,0.0012167672,0.00036488188,0.0012998123,0.0004445789],"domain_scores_gemma":[0.9888913,0.0064946697,0.0025332987,0.0012052782,0.0007258146,0.00014966379],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0018603355,0.00058311725,0.0013528444,0.0005058271,0.00017664966,0.00021003558,0.0019646166,0.00047416188,0.0004784361],"category_scores_gemma":[0.002672235,0.0003621857,0.0007695959,0.00036295672,0.00018362064,0.00016449076,0.00087931927,0.0037602992,0.00005204025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014053561,0.0010867012,0.0028134224,0.0007499811,0.0032395844,0.0003995696,0.005477061,0.0229072,0.00032440695,0.8939799,0.06457126,0.003045532],"study_design_scores_gemma":[0.0010083673,0.00050013734,0.002868391,0.00089346076,0.0001932864,0.00009835918,0.0003977,0.0008793431,0.0007958965,0.99163693,0.00029898508,0.00042914547],"about_ca_topic_score_codex":0.000014117531,"about_ca_topic_score_gemma":0.0000012038328,"teacher_disagreement_score":0.097657,"about_ca_system_score_codex":0.00029358212,"about_ca_system_score_gemma":0.000376238,"threshold_uncertainty_score":0.999883},"labels":[],"label_agreement":null},{"id":"W2612945047","doi":"10.1090/proc/13834","title":"Classification of Harish-Chandra Modules for Current Algebras","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Current (fluid); Algebra over a field; Mathematics; Pure mathematics; Physics","score_opus":0.055115005630236906,"score_gpt":0.3371660361882823,"score_spread":0.28205103055804537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612945047","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993738,0.000032947766,0.003804906,0.0007413531,0.00016440696,0.0005768773,0.000012959666,0.00003143811,0.00089713436],"genre_scores_gemma":[0.9774557,0.0000244777,0.022225415,0.000017830007,0.00011480891,0.000071209535,3.825256e-7,0.000027344895,0.00006287405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986867,0.000005095853,0.00046607424,0.00022590514,0.00038862857,0.00022765156],"domain_scores_gemma":[0.9972378,0.00025309995,0.0016819666,0.00040000322,0.00036837324,0.00005872781],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038919837,0.00017441335,0.000546444,0.000013357368,0.0003433246,0.00006277204,0.0009471975,0.000057528545,0.000009525505],"category_scores_gemma":[0.0013384935,0.00011438089,0.00052624085,0.00008644014,0.0009111378,0.00013847926,0.0002736461,0.0001439138,7.6825694e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025327783,0.00013431333,0.00080325216,0.0007888375,0.000082113416,3.4865395e-9,0.00088341214,1.684899e-7,0.0032389846,0.98990214,0.0024031114,0.0017383198],"study_design_scores_gemma":[0.00030894243,0.000067795365,0.0043805544,0.0001555194,0.00012253548,8.896828e-7,0.00070205785,0.0019931556,0.0066263443,0.98541105,0.00010401381,0.00012714394],"about_ca_topic_score_codex":0.0000069413986,"about_ca_topic_score_gemma":1.8326317e-7,"teacher_disagreement_score":0.01842051,"about_ca_system_score_codex":0.00003759667,"about_ca_system_score_gemma":0.000025702328,"threshold_uncertainty_score":0.46643174},"labels":[],"label_agreement":null},{"id":"W2612966970","doi":"10.1016/j.crma.2004.10.025","title":"Cup products in Hopf-cyclic cohomology","year":2004,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria; Western University","funders":"","keywords":"Mathematics; Hopf algebra; Cohomology; Cyclic homology; Pure mathematics; Crossed product; Product (mathematics); Cup product; Quasitriangular Hopf algebra; Field (mathematics); Algebra over a field; Geometry; De Rham cohomology; Equivariant cohomology; Division algebra; Filtered algebra","score_opus":0.03817177236408066,"score_gpt":0.2945854127010469,"score_spread":0.25641364033696623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612966970","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99257076,0.00043887485,0.0010569594,0.001216264,0.0008097005,0.0005147475,0.000003338131,0.00020507943,0.003184273],"genre_scores_gemma":[0.9906297,0.000052550284,0.008635668,0.000172082,0.0001920541,0.000075403856,0.000007748321,0.000048058264,0.00018678636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982973,0.000104387065,0.0005115321,0.00041668193,0.00023134849,0.00043878568],"domain_scores_gemma":[0.9988238,0.00020957182,0.000182935,0.0006180281,0.00007674955,0.00008887258],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002484709,0.00028209557,0.00050503726,0.0001535782,0.00007725028,0.000040599145,0.00040019618,0.00023030852,0.0002063025],"category_scores_gemma":[0.00040594273,0.00025349137,0.000074572126,0.0003335086,0.00009408484,0.000118122945,0.00014383535,0.0004150412,0.0001124862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019315807,0.00017678353,0.00046127854,0.00012062093,0.00002434465,0.0000477555,0.0009282358,0.00008391403,0.0005986095,0.9951906,0.0020176123,0.00033091448],"study_design_scores_gemma":[0.001076578,0.00007896924,0.0016837023,0.00010852069,0.000014224381,0.00008467275,0.00006749248,0.000037006685,0.0042527043,0.9915169,0.00079147355,0.00028779646],"about_ca_topic_score_codex":0.000098600634,"about_ca_topic_score_gemma":0.00004448833,"teacher_disagreement_score":0.007578708,"about_ca_system_score_codex":0.00016803003,"about_ca_system_score_gemma":0.00013779705,"threshold_uncertainty_score":0.9999917},"labels":[],"label_agreement":null},{"id":"W2612989340","doi":"10.1016/j.nuclphysb.2017.12.019","title":"Stieltjes–Bethe equations in higher genus and branched coverings with even ramifications","year":2017,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds de recherche du Québec – Nature et technologies; Alexander von Humboldt-Stiftung","keywords":"Monodromy; Genus; Mathematics; Riemann surface; Pure mathematics; Surface (topology); Riemann–Stieltjes integral; Gravitational singularity; Function (biology); Mathematical analysis; Geometry; Integral equation","score_opus":0.06887648574170982,"score_gpt":0.2941142862921316,"score_spread":0.22523780055042178,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612989340","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9912558,0.000012435635,0.0012167133,0.0006712559,0.00017557331,0.00021009748,0.000006296267,0.000047076588,0.006404729],"genre_scores_gemma":[0.9983564,0.000004238124,0.0011050061,0.0000544211,0.00014021511,0.000009476967,0.0000015007176,0.000031473694,0.00029723646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994513,0.000015862064,0.00010605917,0.00016401932,0.0001326476,0.00013012435],"domain_scores_gemma":[0.99922967,0.000086663465,0.000116318304,0.00048976653,0.000037865233,0.00003970969],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000055768614,0.000099684534,0.00014395021,0.000014512636,0.0002611363,0.000111434085,0.00019547048,0.00005303452,0.00004798405],"category_scores_gemma":[0.00005373517,0.000085440835,0.000024516994,0.000041420197,0.00008757998,0.00017040718,0.00006848141,0.00012920548,0.00001144146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000133950425,0.000039150273,0.00025862784,0.000014121749,0.000019100346,8.9318695e-7,0.0007847572,0.000016733291,0.00020164246,0.9967728,0.00009354724,0.0017852295],"study_design_scores_gemma":[0.00067775336,0.000033073236,0.014855225,0.000029118915,0.000026031812,7.181832e-7,0.000054720364,0.0011375954,0.00004755883,0.9817236,0.0012688711,0.00014571169],"about_ca_topic_score_codex":0.000068730566,"about_ca_topic_score_gemma":0.000010548452,"teacher_disagreement_score":0.015049179,"about_ca_system_score_codex":0.00002423776,"about_ca_system_score_gemma":0.000019198864,"threshold_uncertainty_score":0.3484176},"labels":[],"label_agreement":null},{"id":"W2613438777","doi":"10.33697/ajur.2015.020","title":"Category Theoretic Interpretation of Rings","year":2015,"lang":"en","type":"article","venue":"American Journal of Undergraduate Research","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"University of Ottawa","keywords":"2-category; Equivalence of categories; Closed category; Mathematics; Derived category; Concrete category; Interpretation (philosophy); Enriched category; Category of groups; Category theory; Object (grammar); Equivalence (formal languages); Idempotence; Category of rings; Category of sets; Ring (chemistry); Higher category theory; Triangulated category; Pure mathematics; Biproduct; Linguistics; Commutative ring; Functor; Principal ideal ring","score_opus":0.07587383766781959,"score_gpt":0.39190322795024846,"score_spread":0.3160293902824289,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2613438777","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98858815,0.00015607149,0.0056200777,0.0030640727,0.00026566745,0.00010403944,5.0863486e-7,0.000008870162,0.0021925452],"genre_scores_gemma":[0.99838114,0.00006628389,0.0013186013,0.00001702006,0.000111037465,0.0000018198024,2.3756337e-7,0.000022056473,0.00008177744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974505,0.0005421785,0.0005117483,0.00011073438,0.0011152286,0.00026966826],"domain_scores_gemma":[0.99690056,0.0008534928,0.00051892555,0.00023054767,0.0012861649,0.000210317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023641482,0.000101142694,0.0003850222,0.0003095748,0.000043843724,0.000029580959,0.0003423241,0.00003217823,0.0000071261957],"category_scores_gemma":[0.0013011632,0.00007556729,0.00011650348,0.0005181573,0.0006571832,0.00012770898,0.00009109684,0.0004573386,0.0000042270376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003630823,0.000070341324,0.00022049701,0.00003275713,0.00008897657,0.000017385579,0.0016279363,0.000063290594,0.00014380386,0.98802674,0.00087988446,0.008465298],"study_design_scores_gemma":[0.00046328944,0.0013967564,0.000043540527,0.00007164417,0.00002193507,0.00007821336,0.0022372024,0.00034526995,0.0008740225,0.99434334,0.000053447464,0.00007135577],"about_ca_topic_score_codex":0.000091604954,"about_ca_topic_score_gemma":0.0000028849104,"teacher_disagreement_score":0.009793019,"about_ca_system_score_codex":0.00013087476,"about_ca_system_score_gemma":0.0003846979,"threshold_uncertainty_score":0.30815446},"labels":[],"label_agreement":null},{"id":"W2615426977","doi":"10.1007/jhep04(2019)022","title":"Genus two modular bootstrap","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Samsung; U.S. Department of Energy; Princeton University; Simons Foundation; Natural Sciences and Engineering Research Council of Canada; Johns Hopkins University","keywords":"Riemann surface; Physics; Genus; Conformal map; Unitarity; Partition function (quantum field theory); Invariant (physics); Mathematical physics; Riemann sphere; Pure mathematics; Theta function; Particle physics; Mathematical analysis; Mathematics; Quantum mechanics","score_opus":0.02100617368603636,"score_gpt":0.2665422586951145,"score_spread":0.24553608500907814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2615426977","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.973286,0.00013356116,0.023369484,0.000063455,0.001999186,0.00003320137,0.0000013631884,0.000015101837,0.0010986881],"genre_scores_gemma":[0.9964203,0.000022294776,0.001720547,0.000100069,0.0013222422,7.803971e-7,7.71726e-7,0.00003088514,0.00038210707],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988798,0.00003870996,0.0003660448,0.000109532666,0.00041942406,0.00018651623],"domain_scores_gemma":[0.99893606,0.00009429223,0.00043317667,0.000276829,0.00017530132,0.00008431839],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010170807,0.00015055465,0.00037105384,0.000037667905,0.00003676373,0.000030053223,0.00027578193,0.00006198923,0.00007769209],"category_scores_gemma":[0.000016140259,0.00011790323,0.00021542927,0.00010430833,0.000020711706,0.00017571251,0.000043849537,0.00018995916,0.000007040155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029538602,0.00006212706,0.000042738844,0.000012173325,0.0001099574,0.000013383064,0.00005817941,0.001159305,0.00031808173,0.9954019,0.00055468787,0.0022378883],"study_design_scores_gemma":[0.0009626658,0.00014914498,0.00007802329,0.00002928814,0.00005406761,0.00003628592,0.000017345728,0.00013836699,0.0064358823,0.99069566,0.001267537,0.00013570832],"about_ca_topic_score_codex":0.000028585655,"about_ca_topic_score_gemma":9.750476e-7,"teacher_disagreement_score":0.023134341,"about_ca_system_score_codex":0.000046010526,"about_ca_system_score_gemma":0.00006660653,"threshold_uncertainty_score":0.4807954},"labels":[],"label_agreement":null},{"id":"W2618270265","doi":"10.1007/s40062-018-0205-7","title":"Hopf-cyclic cohomology of the Connes–Moscovici Hopf algebras with infinite dimensional coefficients","year":2018,"lang":"en","type":"article","venue":"Journal of Homotopy and Related Structures","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Hopf algebra; Multiplicative function; Mathematics; Cyclic homology; Homomorphism; Cohomology; Quasitriangular Hopf algebra; Pure mathematics; Algebra over a field; Mathematical analysis; Filtered algebra; Division algebra","score_opus":0.010459763203363375,"score_gpt":0.2580060649140665,"score_spread":0.24754630171070316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2618270265","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9970402,0.00044648515,0.00010420038,0.00021778462,0.0015723121,0.00018874225,0.0000057875964,0.000010972604,0.00041352585],"genre_scores_gemma":[0.99895054,0.00002539602,0.000545336,0.0001316771,0.00021950847,8.81593e-7,7.741299e-7,0.000023484297,0.000102412676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982531,0.00016235696,0.0006821597,0.00017744993,0.00048087796,0.00024405669],"domain_scores_gemma":[0.9979632,0.00032298535,0.0009362885,0.00028473517,0.0003866763,0.00010609709],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000254478,0.00023300551,0.0005186027,0.00012519692,0.00028315006,0.000026249658,0.00033539112,0.00027323063,0.00014956635],"category_scores_gemma":[0.00022626221,0.000117737494,0.00014638917,0.00026319176,0.00077483786,0.00008665047,0.000112634836,0.00043201723,7.424333e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016896887,0.00021715794,0.012410109,0.00014680116,0.0015767822,0.00011016029,0.004834975,0.00032354178,0.005337213,0.9698241,0.0018565988,0.001672882],"study_design_scores_gemma":[0.0025991006,0.0011627658,0.015444499,0.00018870302,0.0002919962,0.0016561517,0.00018115145,0.00007802657,0.006253918,0.9716116,0.00032471475,0.000207331],"about_ca_topic_score_codex":0.000012903717,"about_ca_topic_score_gemma":0.0000066820267,"teacher_disagreement_score":0.004653824,"about_ca_system_score_codex":0.000021852005,"about_ca_system_score_gemma":0.00012846378,"threshold_uncertainty_score":0.4801196},"labels":[],"label_agreement":null},{"id":"W2619498089","doi":"10.1016/j.nuclphysb.2017.09.023","title":"A quartet of fermionic expressions for M(k,2k± 1) Virasoro characters via half-lattice paths","year":2017,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lattice (music); Generating function; Minimal models; Integrable system; Physics; Unitary state; Mathematical physics; Trinomial; Pure mathematics; Combinatorics; Quantum mechanics; Mathematics","score_opus":0.05522385543677725,"score_gpt":0.32432647713376905,"score_spread":0.2691026216969918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2619498089","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99559164,0.0000117380405,0.0015238888,0.0002781636,0.00081739895,0.00043147831,0.000018384848,0.000069646616,0.001257654],"genre_scores_gemma":[0.9978617,0.000003986116,0.0014647141,0.00006273568,0.0003986354,0.000019661662,0.000004066657,0.0000633847,0.0001211578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902827,0.00002785423,0.00025233257,0.00023848095,0.0002179701,0.00023511381],"domain_scores_gemma":[0.99826145,0.00018705183,0.0004203777,0.0009469149,0.00010783198,0.00007637187],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010816173,0.0001748054,0.00033717693,0.00001769739,0.00044139248,0.00007097064,0.0004984973,0.000107673106,0.0000372351],"category_scores_gemma":[0.0001559926,0.0001570219,0.00020963344,0.000029069446,0.00009402304,0.00023468497,0.00012647058,0.00014367393,0.000018981942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005767676,0.00013717478,0.000019203173,0.000094901894,0.000058719248,8.836835e-7,0.00077182835,0.0000015376635,0.009639706,0.9859982,0.0005342254,0.0026859099],"study_design_scores_gemma":[0.0007823599,0.000112890026,0.00048375266,0.00008152118,0.00007338419,0.0000013108215,0.00008885835,0.00080810627,0.0025056147,0.9941441,0.00072695344,0.00019117862],"about_ca_topic_score_codex":0.000032743726,"about_ca_topic_score_gemma":0.0000015394196,"teacher_disagreement_score":0.008145836,"about_ca_system_score_codex":0.000025453191,"about_ca_system_score_gemma":0.00002890345,"threshold_uncertainty_score":0.6403167},"labels":[],"label_agreement":null},{"id":"W2620919103","doi":"10.1090/conm/705/14201","title":"Stability, shards, and preprojective algebras","year":2018,"lang":"en","type":"preprint","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Canadian Institute for Advanced Research","keywords":"Extension (predicate logic); Hyperplane; Pure mathematics; Reading (process); Relevance (law); Mathematics; Abelian group; Algebra over a field; Type (biology); Stability (learning theory); Computer science; Linguistics; Philosophy; Geometry; Geology; Political science; Programming language","score_opus":0.08492639038032364,"score_gpt":0.3312295962474273,"score_spread":0.2463032058671037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2620919103","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8935569,0.0009573648,0.060628116,0.0010229441,0.0011476913,0.005987587,0.0003344409,0.0015198776,0.034845058],"genre_scores_gemma":[0.83524746,0.00010256731,0.16205846,0.0003436846,0.00085403596,0.00056209665,0.000048394442,0.00034897245,0.00043433323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.993143,0.00034408053,0.0021414056,0.001957578,0.0014245298,0.0009893564],"domain_scores_gemma":[0.9914955,0.0026293986,0.0019833928,0.0027293526,0.00055776397,0.00060461136],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.002052599,0.0015078015,0.003136489,0.00010713579,0.00040682405,0.00045801507,0.0013535206,0.00084364705,0.0005446911],"category_scores_gemma":[0.0019418354,0.0012801602,0.0012289631,0.00044459442,0.0029793277,0.00024720177,0.0038806135,0.0017307214,0.00006354003],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007892002,0.0015628525,0.00038020025,0.00944445,0.001994469,0.000016525159,0.030481175,9.4115194e-7,0.00006570795,0.9243208,0.03116889,0.00048506688],"study_design_scores_gemma":[0.00065392896,0.00029300025,0.000052663967,0.0008871505,0.00036896387,0.000030946958,0.0050788955,0.0048278207,0.000345132,0.98588157,0.00026030096,0.001319638],"about_ca_topic_score_codex":0.000067861845,"about_ca_topic_score_gemma":0.0000034533064,"teacher_disagreement_score":0.10143034,"about_ca_system_score_codex":0.0003405875,"about_ca_system_score_gemma":0.00070393033,"threshold_uncertainty_score":0.99976707},"labels":[],"label_agreement":null},{"id":"W2625009109","doi":"10.1007/s11005-018-1108-6","title":"Equivalences between three presentations of orthogonal and symplectic Yangians","year":2018,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Yangian; Symplectic geometry; Mathematics; Equivalence (formal languages); Lie algebra; Pure mathematics; Algebra over a field","score_opus":0.06055542144836259,"score_gpt":0.33379129830491494,"score_spread":0.2732358768565524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2625009109","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9108705,0.000007939117,0.08705482,0.0004950234,0.00007950643,0.00019935443,0.0000041971093,0.000025414589,0.0012632419],"genre_scores_gemma":[0.99314654,9.672834e-7,0.006376055,0.000083406914,0.0003487949,0.000012901087,0.0000012547837,0.000018436189,0.000011640503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892664,0.000040864237,0.0003437325,0.00018573605,0.0002851088,0.00021789751],"domain_scores_gemma":[0.99873304,0.0008223763,0.000114802555,0.00023962477,0.00004150919,0.00004863776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014831328,0.00013731471,0.00031857163,0.000040389546,0.000058535166,0.000020809575,0.00017965709,0.000056781042,0.00005192021],"category_scores_gemma":[0.00015935837,0.00011592235,0.00006159872,0.00020093248,0.00036237767,0.000099475175,0.00009078231,0.00013208886,0.0000065275717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005274096,0.000051462717,0.009432985,0.00018578894,0.000037386497,0.0000010347559,0.000879244,0.0000019470287,0.00030050558,0.98854786,0.00015274629,0.0004037925],"study_design_scores_gemma":[0.00024788265,0.00005100693,0.005457318,0.00006891401,0.000050742216,0.0000018736965,0.000050834806,0.00047051473,0.0006800907,0.9927979,0.00000296767,0.00011992813],"about_ca_topic_score_codex":0.000005495575,"about_ca_topic_score_gemma":0.0000053473937,"teacher_disagreement_score":0.08227604,"about_ca_system_score_codex":0.000010450758,"about_ca_system_score_gemma":0.000014727695,"threshold_uncertainty_score":0.4727176},"labels":[],"label_agreement":null},{"id":"W2625439850","doi":"10.1007/978-3-030-02191-7_14","title":"Verlinde Formulas for Nonsimply Connected Groups","year":2018,"lang":"en","type":"book-chapter","venue":"Progress in mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Pure mathematics; Torus; Maximal torus; Symplectic geometry; Moduli space; Simply connected space; Conjecture; Boundary (topology); Group (periodic table); Symplectic group; Type (biology); Symplectic representation; Lie group; Algebra over a field; Geometry; Mathematical analysis; Lie algebra; Moment map; Physics; Fundamental representation","score_opus":0.05294900437812057,"score_gpt":0.32044059225896654,"score_spread":0.267491587880846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2625439850","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07925829,0.009096908,0.05111042,0.0010208776,0.017199798,0.040372506,0.0011304257,0.0036162834,0.7971945],"genre_scores_gemma":[0.13119625,0.00028066107,0.5238669,0.0003563946,0.0067495545,0.0026919849,0.00042507178,0.0025877943,0.33184543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99706775,0.000017759501,0.0011540772,0.0005817007,0.00057893305,0.00059978216],"domain_scores_gemma":[0.99659854,0.0011039537,0.0008257308,0.00097642303,0.0003674333,0.00012789783],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005022377,0.000730516,0.0012284035,0.00023429203,0.00012956654,0.00010317522,0.00067542447,0.00091330096,0.00050772645],"category_scores_gemma":[0.0003787143,0.00065094134,0.00036316607,0.00006351178,0.0002748004,0.00009146934,0.00023923656,0.00048255178,0.00005523846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053843767,0.000108498534,0.000009545497,0.0014397621,0.00016763862,0.000010782441,0.0013416271,2.6193575e-7,3.5593203e-7,0.9926451,0.00292779,0.0012947907],"study_design_scores_gemma":[0.0012589943,0.00025551667,0.0000017433099,0.0009868313,0.00022476712,0.000021676806,0.000076230564,0.0011296411,0.000046721623,0.9863751,0.0089150425,0.0007077403],"about_ca_topic_score_codex":5.410252e-7,"about_ca_topic_score_gemma":0.000016870872,"teacher_disagreement_score":0.47275645,"about_ca_system_score_codex":0.00017765541,"about_ca_system_score_gemma":0.00012480981,"threshold_uncertainty_score":0.9995942},"labels":[],"label_agreement":null},{"id":"W2724378477","doi":"10.1007/s10240-017-0089-9","title":"Meromorphic tensor equivalence for Yangians and quantum loop algebras","year":2017,"lang":"fr","type":"article","venue":"Publications mathématiques de l IHÉS","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Yangian; Tensor product; Meromorphic function; Abelian group; Mathematics; Functor; Subalgebra; Tensor (intrinsic definition); Commutative property; Pure mathematics; Subcategory; Combinatorics; Algebra over a field","score_opus":0.06894798947442524,"score_gpt":0.3462518155023497,"score_spread":0.27730382602792447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2724378477","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64882314,0.010589141,0.14872622,0.16844466,0.0038605959,0.004234315,0.00077794725,0.0007642976,0.0137796495],"genre_scores_gemma":[0.9237962,0.0015265194,0.040890563,0.00064995134,0.0009017795,0.0010058413,0.000053390082,0.00017786257,0.030997913],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974238,0.00014618081,0.0006875468,0.00061721687,0.00031022922,0.00081497565],"domain_scores_gemma":[0.9955066,0.0007529137,0.00082523766,0.0019321134,0.00061356084,0.00036961897],"candidate_categories":["metaepi_narrow","sts","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0009210407,0.00043571024,0.00057413836,0.0001611204,0.0013588178,0.0015325429,0.0012237007,0.00047544832,0.0003778082],"category_scores_gemma":[0.003360457,0.00045130443,0.00021584494,0.00013097204,0.00064096024,0.0010950024,0.0003789502,0.0003552926,0.000050988743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014302715,0.00018370878,0.0005668519,0.00075191946,0.00013209785,0.0000019179638,0.0014383753,0.000002238005,0.00009317099,0.9772776,0.016157407,0.0033804309],"study_design_scores_gemma":[0.0006290318,0.0001354012,0.004320193,0.00027427156,0.00028381337,0.00009425138,0.00021127312,0.015173572,0.00030313738,0.9532364,0.024855508,0.00048314547],"about_ca_topic_score_codex":0.00022029578,"about_ca_topic_score_gemma":0.00006170447,"teacher_disagreement_score":0.27497303,"about_ca_system_score_codex":0.00017821416,"about_ca_system_score_gemma":0.00031997892,"threshold_uncertainty_score":0.9999413},"labels":[],"label_agreement":null},{"id":"W2725689688","doi":"10.3390/sym10110541","title":"Factorizations of Symmetric Macdonald Polynomials","year":2018,"lang":"en","type":"preprint","venue":"Symmetry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Factorization; Conjecture; Macdonald polynomials; Mathematics; Context (archaeology); Koornwinder polynomials; Pure mathematics; Combinatorics; Orthogonal polynomials; Symmetric function; Algebra over a field; Classical orthogonal polynomials; History","score_opus":0.05296056852083974,"score_gpt":0.3275658559181008,"score_spread":0.27460528739726103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2725689688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9499687,0.0010526518,0.0050014677,0.00019019704,0.012153287,0.0010270786,0.0003671669,0.00026140333,0.02997808],"genre_scores_gemma":[0.99406946,0.000047213623,0.0038833418,0.000044153836,0.0012282688,0.000026486101,0.000043433254,0.00007741878,0.0005802131],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977477,0.00010617957,0.0007715967,0.00049624086,0.000557697,0.00032059182],"domain_scores_gemma":[0.9972566,0.0005376833,0.00071654853,0.0010531336,0.00031560188,0.00012044399],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002957034,0.00038685827,0.0008191068,0.00050098123,0.000081831065,0.000048507914,0.0007146038,0.00066141237,0.00044293227],"category_scores_gemma":[0.0010646732,0.00035489147,0.00036270544,0.00056709704,0.000120800585,0.00004490121,0.00087345665,0.00050140265,0.000022585718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001463901,0.00009218258,0.0008597567,0.00046968754,0.00026294016,0.0000013609139,0.00013875628,0.0000027177646,0.000052320614,0.98999256,0.0072805695,0.0008325173],"study_design_scores_gemma":[0.00026359883,0.00005361075,0.00075118686,0.00015326378,0.00017577311,0.0000022595016,0.00002936666,0.000059221755,0.0026281017,0.99492633,0.00062035315,0.00033695257],"about_ca_topic_score_codex":0.00010523177,"about_ca_topic_score_gemma":0.0000030988,"teacher_disagreement_score":0.044100802,"about_ca_system_score_codex":0.00011420287,"about_ca_system_score_gemma":0.00024639006,"threshold_uncertainty_score":0.9998903},"labels":[],"label_agreement":null},{"id":"W2727783766","doi":"10.46298/dmtcs.2874","title":"A preorder-free construction of the Kazhdan-Lusztig representations of Hecke algebras $H_n(q)$ of symmetric groups","year":2010,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Ring (chemistry); Polynomial ring; Hecke algebra; Combinatorics; Polynomial; Quantum; Algebra over a field; Quantum group; Pure mathematics; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.01195767815291523,"score_gpt":0.2684178252998392,"score_spread":0.256460147146924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2727783766","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7485385,0.00016801128,0.23910277,0.0009709791,0.004663666,0.00093913684,0.00008345983,0.000034928642,0.005498572],"genre_scores_gemma":[0.7780962,0.000014669737,0.22162092,0.000020837884,0.00015282618,0.000011030472,0.000001320482,0.00003231572,0.00004990288],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99500763,0.00023567307,0.0017238476,0.00063284585,0.0017770863,0.0006229344],"domain_scores_gemma":[0.99264836,0.0019428325,0.0014125631,0.0027754751,0.0009858682,0.00023487823],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.00187899,0.0004289257,0.00096295844,0.00032503146,0.00033954653,0.00011216463,0.0031719746,0.00029206584,0.00039967496],"category_scores_gemma":[0.0032535198,0.00031200264,0.0004894885,0.002676501,0.015500825,0.00032831595,0.0018691204,0.0006782031,0.000005587898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018692957,0.00036555267,0.00019886949,0.0009164095,0.0000809585,0.0000010089171,0.0029548437,0.000037104513,0.0027325987,0.99140567,0.00006308711,0.0012251851],"study_design_scores_gemma":[0.00060803187,0.0002204998,0.00034037782,0.00049599656,0.00026444267,0.00007587362,0.00046069658,0.058559697,0.029049994,0.90964264,0.000010179521,0.0002715669],"about_ca_topic_score_codex":0.000037653364,"about_ca_topic_score_gemma":0.000006203445,"teacher_disagreement_score":0.081763044,"about_ca_system_score_codex":0.000042108008,"about_ca_system_score_gemma":0.0003831374,"threshold_uncertainty_score":0.9999332},"labels":[],"label_agreement":null},{"id":"W2729002423","doi":"10.4153/cmb-2017-045-2","title":"Triangulated Equivalences Involving Gorenstein Projective Modules","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Subcategory; Injective function; Noetherian; Pure mathematics; Injective module; Projective module; Modulo; Flat module; Dimension (graph theory); Projective test; Triangulated category; Global dimension; Local ring; Derived category; Bounded function; Projective cover; Resolution (logic); Discrete mathematics; Ring (chemistry); Algebra over a field; Projective space; Functor; Complex projective space; Mathematical analysis","score_opus":0.061613994076802236,"score_gpt":0.31278289104984464,"score_spread":0.2511688969730424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2729002423","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9280097,0.00017131005,0.00072884635,0.005210716,0.00070994586,0.0010215082,0.000027829277,0.00016690283,0.06395328],"genre_scores_gemma":[0.9933344,0.0000057072243,0.0033089875,0.00014865064,0.00026665628,0.000052972475,0.0000027355288,0.00004990372,0.0028299813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981149,0.00008019248,0.0004244839,0.00040127872,0.00033452024,0.00064462225],"domain_scores_gemma":[0.9977182,0.00035723203,0.00025257102,0.001005645,0.00013031498,0.0005359997],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00046866434,0.00029034002,0.00048321747,0.00012153763,0.0008247475,0.00036927967,0.000852373,0.00023044736,0.005575951],"category_scores_gemma":[0.0035937352,0.00024338256,0.00015587486,0.00006316923,0.00029990516,0.00008914209,0.00012896431,0.00026840344,0.0009901738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001144375,0.000024650302,0.00005450251,0.00010283946,0.000052864874,0.00004208987,0.00049326534,7.3898576e-7,0.000022778268,0.9920836,0.006117868,0.0009933503],"study_design_scores_gemma":[0.00048741786,0.000047309997,0.00030599476,0.0002013464,0.000046658748,0.000016987835,0.0002793078,0.0003257327,0.00023106245,0.9949794,0.0027550408,0.00032373407],"about_ca_topic_score_codex":0.0028218764,"about_ca_topic_score_gemma":0.00174589,"teacher_disagreement_score":0.065324746,"about_ca_system_score_codex":0.0001927883,"about_ca_system_score_gemma":0.00021688292,"threshold_uncertainty_score":0.9997877},"labels":[],"label_agreement":null},{"id":"W2729176162","doi":"10.5802/alco.110","title":"A crystal-like structure on shifted tableaux","year":2020,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Skew; Type (biology); Mathematics; Set (abstract data type); Young tableau; Combinatorics; Schur polynomial; Crystal (programming language); Pure mathematics; Macdonald polynomials; Physics; Computer science; Orthogonal polynomials; Discrete orthogonal polynomials","score_opus":0.04715578275435529,"score_gpt":0.2933179629025672,"score_spread":0.2461621801482119,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2729176162","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95253944,0.00110319,0.0013619196,0.0033210937,0.02788226,0.0032752834,0.00042348562,0.00211378,0.007979556],"genre_scores_gemma":[0.99531025,0.00006923256,0.00083309977,0.001287362,0.0010302854,0.00012471691,0.00023181256,0.00038323042,0.0007300373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9934389,0.00031417308,0.0012958997,0.0020046504,0.0018058724,0.0011404805],"domain_scores_gemma":[0.99447405,0.0008793474,0.0009960503,0.0025935816,0.00038917852,0.00066777295],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.0002893147,0.0015968453,0.0019272976,0.00033434865,0.00038386948,0.0004056117,0.0021617888,0.0017460177,0.0006596024],"category_scores_gemma":[0.000994859,0.0015399843,0.00072191545,0.0008871848,0.00016793863,0.00013699851,0.0024911335,0.0038775133,0.0000690129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012448689,0.00023209486,0.00007117194,0.0006698995,0.0004235127,0.0000928042,0.0007819617,0.00003929674,0.000050808878,0.96977913,0.027417226,0.00031758862],"study_design_scores_gemma":[0.0016318971,0.0003855662,0.00017674704,0.0003013658,0.00035239191,0.000016557784,0.00008748422,0.0004298912,0.0004018618,0.98760027,0.0071051484,0.0015108136],"about_ca_topic_score_codex":0.000074184565,"about_ca_topic_score_gemma":0.000013270803,"teacher_disagreement_score":0.04277079,"about_ca_system_score_codex":0.00059950346,"about_ca_system_score_gemma":0.00069638755,"threshold_uncertainty_score":0.99967796},"labels":[],"label_agreement":null},{"id":"W2729288869","doi":"10.1017/nmj.2018.18","title":"A CONJECTURE ON -MATRICES OF CLUSTER ALGEBRAS","year":2018,"lang":"en","type":"article","venue":"Nagoya Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Conjecture; Cluster algebra; Sign (mathematics); Cluster (spacecraft); Principal (computer security); Coherence (philosophical gambling strategy)","score_opus":0.0296779149840788,"score_gpt":0.3186846486266464,"score_spread":0.2890067336425676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2729288869","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9596612,0.000093689785,0.018824508,0.0008394992,0.0010178114,0.00031119885,0.00000420189,0.00007173699,0.01917616],"genre_scores_gemma":[0.9871287,0.000008702615,0.011114071,0.00026994917,0.0011596371,0.0000044983267,3.1111443e-7,0.000040007715,0.0002741612],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978753,0.00011082288,0.0007222693,0.00019963634,0.00073552,0.00035647379],"domain_scores_gemma":[0.9978952,0.00085819757,0.00042601652,0.00038143987,0.0002431851,0.00019595791],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00059783715,0.0002474431,0.00053263054,0.00014589599,0.00017167012,0.00008160216,0.00044046322,0.00020587696,0.0018014443],"category_scores_gemma":[0.0009335718,0.00016283007,0.00024554806,0.00020529119,0.0002072195,0.0001063103,0.00008895059,0.00046282,0.00011542958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010202167,0.00017624306,0.000019669453,0.00011248902,0.00009991648,0.000010215045,0.0007853815,0.0000015441799,0.00009999782,0.9910663,0.006387309,0.0011389313],"study_design_scores_gemma":[0.00092533045,0.00057266344,0.00002409008,0.00024358857,0.00008328688,0.0003274974,0.000107584325,0.00021432545,0.0026291118,0.9941766,0.0005160359,0.00017986914],"about_ca_topic_score_codex":7.8331504e-7,"about_ca_topic_score_gemma":6.044218e-7,"teacher_disagreement_score":0.02746747,"about_ca_system_score_codex":0.000047467318,"about_ca_system_score_gemma":0.00007025122,"threshold_uncertainty_score":0.99911106},"labels":[],"label_agreement":null},{"id":"W2734408496","doi":"10.21136/cmj.2017.0044-16","title":"Invariants of finite groups generated by generalized transvections in the modular case","year":2017,"lang":"en","type":"article","venue":"Czechoslovak Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Modular design; Algebra over a field; Pure mathematics; Programming language; Computer science","score_opus":0.05827525552619304,"score_gpt":0.3231422292092077,"score_spread":0.26486697368301465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2734408496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93913794,0.00011319276,0.05818475,0.00075550296,0.00040374734,0.00032861123,0.000015611333,0.000020122376,0.0010405555],"genre_scores_gemma":[0.9939333,0.000039637136,0.00555571,0.000090928785,0.00022145684,0.000022122947,0.0000015734728,0.00003408556,0.00010117649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977965,0.00027312347,0.0008587649,0.0002061996,0.000499489,0.0003659735],"domain_scores_gemma":[0.9978382,0.0005340172,0.00050973915,0.00084062066,0.00013776873,0.00013966899],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012413199,0.0002483067,0.0005308602,0.000096302996,0.00068366167,0.00030954983,0.00086560135,0.00018829535,0.0003356341],"category_scores_gemma":[0.0012771446,0.00015897275,0.00023066421,0.00014136055,0.00018001698,0.00026126445,0.000068089226,0.00063984573,0.000007512142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061828294,0.00053833495,0.000058685328,0.00011775261,0.00015990653,0.0010330062,0.0031928273,0.000070801856,0.002541573,0.9891059,0.0024601505,0.00065923523],"study_design_scores_gemma":[0.0016281886,0.00007651099,0.00005340836,0.00009533491,0.000099313074,0.0040196776,0.0003530509,0.0042971494,0.0010127253,0.9880877,0.000087671375,0.0001892578],"about_ca_topic_score_codex":0.000029260436,"about_ca_topic_score_gemma":0.000015339736,"teacher_disagreement_score":0.054795403,"about_ca_system_score_codex":0.000043930515,"about_ca_system_score_gemma":0.000059508133,"threshold_uncertainty_score":0.64827204},"labels":[],"label_agreement":null},{"id":"W2734725460","doi":"10.4204/eptcs.266.18","title":"The Category CNOT","year":2018,"lang":"en","type":"article","venue":"Electronic Proceedings in Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Affine transformation; Commutative property; Vector space; Enriched category; Set (abstract data type); Algebra over a field; Category of groups; Closed category","score_opus":0.009449337264278233,"score_gpt":0.27347223931447817,"score_spread":0.26402290205019996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2734725460","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95480645,0.00010142108,0.024032192,0.0013245819,0.0011966147,0.0003511908,1.2429398e-7,0.00015468657,0.01803274],"genre_scores_gemma":[0.9977896,0.000008638335,0.0014817151,0.0001739783,0.0004962018,0.0000148719755,3.629966e-8,0.0000127441335,0.000022209528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99776506,0.00001564727,0.00025496198,0.00044324112,0.00053765386,0.0009834282],"domain_scores_gemma":[0.9990926,0.00026581285,0.00007124354,0.00023306263,0.00023849553,0.00009878929],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0018989898,0.00015490482,0.00015284373,0.00007815782,0.00068073696,0.00026373877,0.00139927,0.000060740305,0.000028682907],"category_scores_gemma":[0.00042095126,0.00009708061,0.00004107343,0.0008306735,0.0038247406,0.00019713488,0.00039271786,0.0003724388,0.000014284878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021090136,0.000016167249,0.000032865733,0.000003481733,0.000002824937,3.53759e-7,0.0003834453,1.5192374e-7,0.00010485675,0.9957555,0.0001411891,0.0035381047],"study_design_scores_gemma":[0.00017819073,0.0003001917,0.00009007098,0.000013408783,0.0000036896738,0.00001808685,0.000025750915,0.010432202,0.0039830874,0.9844218,0.0003967175,0.00013683875],"about_ca_topic_score_codex":0.0000022153042,"about_ca_topic_score_gemma":0.000002821552,"teacher_disagreement_score":0.04298316,"about_ca_system_score_codex":0.00020991504,"about_ca_system_score_gemma":0.00021748639,"threshold_uncertainty_score":0.9988863},"labels":[],"label_agreement":null},{"id":"W2736069899","doi":"10.1016/j.jalgebra.2018.03.036","title":"Hochschild cohomology and the modular group","year":2018,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cohomology; Group cohomology; Hopf algebra; Pure mathematics; Group (periodic table); Algebra over a field; Equivariant cohomology; Center (category theory); Group action; Modular design; Action (physics); Computer science; Physics; Chemistry","score_opus":0.02015547661812681,"score_gpt":0.2781432973332849,"score_spread":0.2579878207151581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2736069899","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98547655,0.0027756772,0.0038518184,0.0020686067,0.004992179,0.00033225186,0.0000037708091,0.000019236308,0.0004798996],"genre_scores_gemma":[0.9923673,0.0004039985,0.0033174283,0.00036641542,0.0034321325,0.000006084558,0.0000011565002,0.000043170738,0.0000622882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979717,0.00029439712,0.0008091114,0.00022873655,0.00046110686,0.00023495687],"domain_scores_gemma":[0.99718297,0.0005615846,0.0013220883,0.0005339758,0.00028434067,0.00011505467],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012706502,0.00029941936,0.0009114305,0.000111175716,0.00012865546,0.00010941057,0.0007082051,0.0004134338,0.000075252174],"category_scores_gemma":[0.0005534687,0.00017212243,0.00037532937,0.000059160837,0.00047340879,0.000068375,0.00071760936,0.0012503023,0.0000027014635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035213085,0.00004663083,0.00006670405,0.000106036845,0.0005875986,0.000033497476,0.00080192374,0.00001064026,0.000008230531,0.99326026,0.0043168976,0.00040943638],"study_design_scores_gemma":[0.001990223,0.00017764133,0.0004937908,0.00015985494,0.00034540743,0.0004835832,0.000051057512,0.00014077984,0.000034639783,0.99531657,0.0006283096,0.00017815958],"about_ca_topic_score_codex":0.000014842741,"about_ca_topic_score_gemma":0.0000026547518,"teacher_disagreement_score":0.0068907654,"about_ca_system_score_codex":0.00004901426,"about_ca_system_score_gemma":0.00011213553,"threshold_uncertainty_score":0.7018949},"labels":[],"label_agreement":null},{"id":"W2737184601","doi":"10.5539/jmr.v9n4p200","title":"The First Hochschild Cohomology of Square Algebras With it's Stability","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Cohomology; Square (algebra); Algebra over a field; Pure mathematics; Square matrix; Geometry; Symmetric matrix","score_opus":0.15414198931625273,"score_gpt":0.41356420145583545,"score_spread":0.2594222121395827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2737184601","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9911725,0.00020497083,0.0007833074,0.0041282997,0.00034962766,0.0004100586,0.0000033054919,0.000006900012,0.0029410326],"genre_scores_gemma":[0.99619764,0.00008852008,0.0032697043,0.000010060121,0.00029201587,0.000007894998,1.4140116e-7,0.000030524396,0.00010350515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967138,0.00020300125,0.00087409135,0.00015071154,0.001628313,0.00043004533],"domain_scores_gemma":[0.99196815,0.003608551,0.0012922006,0.001371406,0.001624943,0.00013472783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0057440405,0.00016664185,0.0005693528,0.000111639994,0.0011165474,0.00021733911,0.0017447415,0.00013545065,0.000077328565],"category_scores_gemma":[0.005229425,0.00008755454,0.00017789609,0.00011060727,0.0009588601,0.00018029692,0.0003519105,0.0008632674,0.000004061801],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030186403,0.0004921402,0.0026533112,0.0006537285,0.00039625613,0.00004125486,0.0030222302,0.0000055934443,0.000050309827,0.98779225,0.0042346036,0.0003564709],"study_design_scores_gemma":[0.0009072356,0.00070002297,0.00094373967,0.00032226543,0.000048254966,0.00013165837,0.0020465935,0.000098941004,0.0017896716,0.9922022,0.0007067689,0.00010265076],"about_ca_topic_score_codex":0.000024706638,"about_ca_topic_score_gemma":0.00013927562,"teacher_disagreement_score":0.005025136,"about_ca_system_score_codex":0.00009166526,"about_ca_system_score_gemma":0.00031926023,"threshold_uncertainty_score":0.85876924},"labels":[],"label_agreement":null},{"id":"W2739000410","doi":"10.1007/s00220-019-03300-2","title":"The Moonshine Anomaly","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Ontario Ministry of Research and Innovation; Ontario Ministry of Research, Innovation and Science; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Mathematics; Anomaly (physics); AKA; Pure mathematics; Cohomology; Omega; Duality (order theory); Class (philosophy); Lattice (music); Order (exchange); Combinatorics; Mathematical physics; Physics; Computer science; Quantum mechanics; Artificial intelligence","score_opus":0.06709470849127525,"score_gpt":0.3506958370255636,"score_spread":0.28360112853428837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2739000410","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80806047,0.0007428565,0.012658142,0.0048462753,0.0005602144,0.0018225618,0.000005491826,0.0002741593,0.17102984],"genre_scores_gemma":[0.988109,0.000050206585,0.010954032,0.000055771692,0.000043500488,0.00006732067,0.0000024539097,0.000025531115,0.00069220166],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890554,0.00012567555,0.00038463555,0.00014121245,0.00021724468,0.00022566272],"domain_scores_gemma":[0.9942252,0.0027780747,0.00011037501,0.002784178,0.00006209623,0.000040074163],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004228631,0.00013472697,0.00023300473,0.000019263625,0.00020575043,0.00006737271,0.0014554744,0.000064558735,0.000055815217],"category_scores_gemma":[0.00037791705,0.000091822505,0.00008855403,0.0002754201,0.00018439656,0.00009636035,0.00051116507,0.00035426443,0.00020430023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000039236097,0.000119015276,0.0002667391,0.000024664276,0.000012705398,1.1371743e-7,0.00026564457,0.0000060686584,0.00001719753,0.9978573,0.00022775463,0.0011988796],"study_design_scores_gemma":[0.00024144058,0.00001533889,0.0001953285,0.000042777257,0.00001097511,0.0000015039045,0.00016531062,0.005832187,0.000038900034,0.9921752,0.001167054,0.0001139613],"about_ca_topic_score_codex":0.000003997272,"about_ca_topic_score_gemma":0.000007793962,"teacher_disagreement_score":0.18004851,"about_ca_system_score_codex":0.000054830743,"about_ca_system_score_gemma":0.000033945555,"threshold_uncertainty_score":0.37444133},"labels":[],"label_agreement":null},{"id":"W2740845329","doi":"10.1007/s00220-009-0919-9","title":"On q-Deformed $${\\mathfrak{gl}_{\\ell+1}}$$ -Whittaker Function II","year":2009,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Mayer Institute","funders":"","keywords":"Mathematics; Cohomology; Combinatorics; Lattice (music); Toda lattice; Characteristic class; Space (punctuation); Function (biology); Generating function; Pure mathematics; Mathematical physics; Physics","score_opus":0.07207243895467846,"score_gpt":0.3474448596638232,"score_spread":0.27537242070914475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2740845329","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6444353,0.0003215208,0.09685299,0.006156513,0.00075620855,0.0023671763,0.000014496652,0.00094024313,0.24815555],"genre_scores_gemma":[0.98609513,0.000027540857,0.012749223,0.00052886625,0.00011014506,0.00007040936,0.000014949396,0.000036999936,0.000366715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820495,0.00012664704,0.0006268678,0.0002814191,0.00040062776,0.00035950815],"domain_scores_gemma":[0.9959937,0.00096656056,0.00019069621,0.0026512565,0.00009971036,0.00009813095],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00035313662,0.00029250165,0.0004513554,0.00008595798,0.00037567547,0.000051844978,0.0010338288,0.00017682055,0.00011186977],"category_scores_gemma":[0.00050518726,0.0002509698,0.00016845175,0.0004702765,0.00015169797,0.0001886931,0.0002723737,0.0005998712,0.00012787714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026713173,0.0010064703,0.000005394814,0.000028483735,0.000018604089,5.106617e-7,0.0006634521,0.000029061046,0.000050668477,0.9915119,0.0010566188,0.005602152],"study_design_scores_gemma":[0.00060006836,0.00022226346,0.00016924068,0.00014654732,0.00004179966,0.000002690308,0.000105466126,0.0035491388,0.00010033259,0.9943054,0.0004909993,0.00026610598],"about_ca_topic_score_codex":0.0000018721967,"about_ca_topic_score_gemma":0.0000022669617,"teacher_disagreement_score":0.34165984,"about_ca_system_score_codex":0.0001374806,"about_ca_system_score_gemma":0.000046591478,"threshold_uncertainty_score":0.9999943},"labels":[],"label_agreement":null},{"id":"W2742438432","doi":"10.3842/sigma.2017.099","title":"Contractions of Degenerate Quadratic Algebras, Abstract and Geometric","year":2017,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México; Consejo Nacional de Ciencia y Tecnología; Simons Foundation","keywords":"Degenerate energy levels; Pure mathematics; Quadratic equation; Mathematics; Algebra over a field; Physics; Geometry; Quantum mechanics","score_opus":0.05463369445631226,"score_gpt":0.4015160263474769,"score_spread":0.34688233189116463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2742438432","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8950609,0.0015713746,0.10092579,0.00039099914,0.00015388579,0.00060567027,0.000052838433,0.000038224327,0.0012003166],"genre_scores_gemma":[0.9250165,0.00038944287,0.0742457,0.000027482713,0.00009505512,0.00010593813,0.0000038480944,0.000015638456,0.00010036301],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99850416,0.000121582234,0.0005195129,0.0004713772,0.00015729488,0.00022608828],"domain_scores_gemma":[0.99639577,0.001995444,0.0004185641,0.00082683226,0.00017530037,0.00018808004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015061155,0.00023257807,0.00053073437,0.00024858981,0.0008634827,0.00017158828,0.00023683596,0.00019934922,0.000061294544],"category_scores_gemma":[0.0021983031,0.00019077148,0.00008785713,0.00034720445,0.0005864309,0.00021156196,0.00015881527,0.00032647388,9.3269614e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012631424,0.00011305908,0.005416673,0.00022218881,0.00007698662,1.9871712e-7,0.00006443921,1.8584224e-7,0.0007490805,0.8227429,0.000024546578,0.17057711],"study_design_scores_gemma":[0.00036137723,0.0000622329,0.050874006,0.000025535073,0.00012855705,0.000014385669,0.00031718944,0.00008947969,0.0033439759,0.94365,0.000924902,0.00020835834],"about_ca_topic_score_codex":0.00029055745,"about_ca_topic_score_gemma":0.000022078952,"teacher_disagreement_score":0.17036875,"about_ca_system_score_codex":0.000019277493,"about_ca_system_score_gemma":0.000034792796,"threshold_uncertainty_score":0.7779435},"labels":[],"label_agreement":null},{"id":"W2744911210","doi":"10.17706/ijapm.2017.7.3.173-181","title":"Right Approximations and Recollements","year":2017,"lang":"en","type":"article","venue":"International Journal of Applied Physics and Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"National Natural Science Foundation of China","keywords":"Mathematics","score_opus":0.030877605272398374,"score_gpt":0.31630797818577133,"score_spread":0.285430372913373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2744911210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9653837,0.000031980137,0.01513574,0.00044461584,0.00094194314,0.00020261234,0.000010756892,0.000011588472,0.017837068],"genre_scores_gemma":[0.96910095,0.000059096976,0.030328969,0.00003129125,0.00039315314,0.0000041479007,7.69405e-7,0.0000137401885,0.000067910194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991564,0.0000043975,0.00034199658,0.00008445515,0.00032763823,0.00008509825],"domain_scores_gemma":[0.99870384,0.0001158481,0.0007423553,0.00017956524,0.00019653334,0.00006187401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019221829,0.00010817628,0.00021962814,0.000036567926,0.00018515755,0.00022459049,0.0003426852,0.000040705163,0.000019569308],"category_scores_gemma":[0.00007383392,0.00008428439,0.0000502435,0.000013393571,0.00007607332,0.00016212458,0.00014757302,0.00011413264,9.027159e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001583375,0.00008172884,0.0000341136,0.000028853992,0.00016272244,0.0000033296285,0.00069273106,0.0000032261767,0.00015608425,0.99494535,0.00028667654,0.00358938],"study_design_scores_gemma":[0.0007342988,0.000021815717,0.000103348546,0.000053898937,0.000050870232,0.00002466015,0.00015967154,0.000512631,0.00075097487,0.9970346,0.0004663772,0.00008683037],"about_ca_topic_score_codex":0.0000013345191,"about_ca_topic_score_gemma":7.837658e-7,"teacher_disagreement_score":0.017769158,"about_ca_system_score_codex":0.000018994926,"about_ca_system_score_gemma":0.000025105459,"threshold_uncertainty_score":0.34370178},"labels":[],"label_agreement":null},{"id":"W2745918726","doi":"10.1093/imrn/rnaa131","title":"The Equations Defining Affine Grassmannians in Type A and a Conjecture of Kreiman, Lakshmibai, Magyar, and Weyman","year":2020,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Grassmannian; Linear subspace; Affine transformation; Conjecture; Pure mathematics; Embedding; Invariant (physics); Nilpotent; Fock space; Space (punctuation); Algebra over a field; Discrete mathematics; Mathematical physics; Computer science; Physics","score_opus":0.17983368424841548,"score_gpt":0.43775521514129,"score_spread":0.2579215308928745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2745918726","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97135645,0.0027747978,0.0016674767,0.014102406,0.0012298481,0.0015623879,0.00010961991,0.00007658882,0.007120448],"genre_scores_gemma":[0.9918656,0.00047802372,0.007139522,0.000020340032,0.00014335343,0.00006850466,0.00001674972,0.000041126685,0.00022683328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974035,0.00018083732,0.00066910393,0.000401873,0.0010406239,0.00030404108],"domain_scores_gemma":[0.9930375,0.005517725,0.00035776244,0.00039425908,0.0005966097,0.000096110896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013658671,0.00024849307,0.00044893924,0.0002710293,0.0001681174,0.00033007644,0.0007802696,0.00022285445,0.000040113147],"category_scores_gemma":[0.0065793223,0.00018345604,0.00006142069,0.00026164888,0.00035356428,0.00008268077,0.0015042968,0.0011074881,0.0000043645714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047376863,0.00007717807,0.00018377842,0.000693328,0.00017407979,0.000011010234,0.0035902604,0.000091147376,0.00005257441,0.9941429,0.000315851,0.0006205433],"study_design_scores_gemma":[0.00037726754,0.000082268445,0.00025443974,0.0005556946,0.000036172278,0.000005727049,0.00093969755,0.03084469,0.000063714724,0.96631545,0.00036469966,0.00016017591],"about_ca_topic_score_codex":0.0001388877,"about_ca_topic_score_gemma":0.0004359304,"teacher_disagreement_score":0.030753544,"about_ca_system_score_codex":0.000077557,"about_ca_system_score_gemma":0.0002121331,"threshold_uncertainty_score":0.78765386},"labels":[],"label_agreement":null},{"id":"W274625226","doi":"10.1016/j.jalgebra.2015.04.026","title":"Behaviour of the Frobenius map in a noncommutative world","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Wetenschappelijk Onderzoek","keywords":"Mathematics; Surjective function; Noncommutative geometry; Nilpotent; Commutative property; Pure mathematics; Division algebra; Integer (computer science); Homomorphism; Discrete mathematics; Combinatorics; Algebra representation; Algebra over a field","score_opus":0.04627536763964234,"score_gpt":0.31129140521303583,"score_spread":0.2650160375733935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W274625226","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99688774,0.00022240503,0.00013014388,0.00067920226,0.0011369423,0.000104841136,0.0000016891772,0.0000039684983,0.0008330435],"genre_scores_gemma":[0.99769384,0.000002100053,0.0018596131,0.000059052556,0.00015668919,0.0000012976199,1.06227674e-7,0.000014664327,0.00021266294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986076,0.00012830317,0.00060403085,0.00006610656,0.00045463245,0.00013936558],"domain_scores_gemma":[0.9985554,0.00020107151,0.000684488,0.00022506007,0.0002492293,0.00008473842],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005348821,0.000110465066,0.00035432313,0.00012980736,0.000022428221,0.000015260719,0.00043530855,0.000057237463,0.0000440774],"category_scores_gemma":[0.00027497896,0.000067377296,0.00017091396,0.00026376106,0.000057507405,0.000118115604,0.0001015151,0.0003794254,0.0000016264188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038232506,0.00051083125,0.04025314,0.00006171533,0.00017545836,0.00007034793,0.012574368,0.00012688784,0.00017806067,0.9281426,0.016725127,0.0007991379],"study_design_scores_gemma":[0.001366862,0.0001341429,0.0061140945,0.00013840882,0.00005227335,0.000035865352,0.0007791879,0.000019357263,0.0015399178,0.9895852,0.00015593664,0.00007873938],"about_ca_topic_score_codex":0.00003505241,"about_ca_topic_score_gemma":0.00007217697,"teacher_disagreement_score":0.061442614,"about_ca_system_score_codex":0.00009881563,"about_ca_system_score_gemma":0.00019010088,"threshold_uncertainty_score":0.27475664},"labels":[],"label_agreement":null},{"id":"W2750214623","doi":"10.4153/cmb-2017-071-1","title":"PBW Bases and Marginally Large Tableaux in Types B and C","year":2017,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Realization (probability); Stack (abstract data type); Notation; Isomorphism (crystallography); Infinity; Mathematics; Type (biology); Young tableau; Algebra over a field; Combinatorics; Pure mathematics; Computer science; Arithmetic; Programming language; Crystal structure; Crystallography; Chemistry","score_opus":0.028834267006199885,"score_gpt":0.28303392496096536,"score_spread":0.25419965795476546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2750214623","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9439717,0.002199041,0.00037926572,0.010616811,0.00064167083,0.001393614,0.00021132595,0.00008953511,0.040497065],"genre_scores_gemma":[0.9937873,0.0001283408,0.002798247,0.00038312728,0.00018175069,0.00007510003,0.000012839002,0.0000727926,0.0025604933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981799,0.00007276258,0.00040761635,0.0005312715,0.00021726247,0.000591184],"domain_scores_gemma":[0.99808645,0.00041153113,0.00017239804,0.00071464136,0.000061699204,0.0005532697],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005287317,0.00038543204,0.00075020135,0.00018255699,0.00018912333,0.00028249997,0.00038820223,0.000485588,0.00298988],"category_scores_gemma":[0.0014914982,0.0003550334,0.00006999225,0.000032984888,0.00016235864,0.000026391499,0.00047172848,0.00065753574,0.00013898786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010027687,0.00003067976,0.00023562368,0.001051743,0.000040732783,0.00010844826,0.00040492427,6.651578e-7,7.4941704e-7,0.9897897,0.007935189,0.0003915036],"study_design_scores_gemma":[0.00040216497,0.000021487245,0.00042590452,0.00064145506,0.00006154523,0.000029271921,0.0000759214,0.00024221551,0.000004027141,0.97824025,0.019472985,0.00038278275],"about_ca_topic_score_codex":0.0026235036,"about_ca_topic_score_gemma":0.0064975307,"teacher_disagreement_score":0.049815636,"about_ca_system_score_codex":0.00012514414,"about_ca_system_score_gemma":0.00035171793,"threshold_uncertainty_score":0.99989015},"labels":[],"label_agreement":null},{"id":"W2750592716","doi":"10.1090/pspum/073/2131013","title":"The ring of differential operators on forms in noncommutative calculus","year":2005,"lang":"en","type":"other","venue":"Proceedings of symposia in pure mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Noncommutative geometry; Differential calculus; Calculus (dental); Mathematics; Ring (chemistry); Differential (mechanical device); Differential operator; Quantum differential calculus; Pure mathematics; Algebra over a field; Physics; Noncommutative quantum field theory; Chemistry; Medicine","score_opus":0.012883641112811393,"score_gpt":0.27550701980789116,"score_spread":0.2626233786950798,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2750592716","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49422488,0.0005988678,0.00008829244,0.00014736688,0.0005480776,0.0023297095,0.000030122144,0.00011073312,0.50192195],"genre_scores_gemma":[0.9811987,0.00032969785,0.0041799904,0.000012752527,0.00029080393,0.00018968804,0.0000031522902,0.0005987562,0.013196404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976352,0.000010768566,0.001066344,0.0002928785,0.0006153468,0.00037945263],"domain_scores_gemma":[0.99815184,0.0003590979,0.001060968,0.00026180092,0.00011146109,0.000054822387],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00034872314,0.0004667848,0.0010449245,0.00036996068,0.000045345394,0.000047524714,0.00076987105,0.00044746924,0.00008655153],"category_scores_gemma":[0.00028166638,0.0003074665,0.00016971682,0.00033242122,0.00016079926,0.000066472356,0.00020249613,0.00052998564,0.0000025856405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003428465,0.0003178457,0.0000947426,0.0014358513,0.00009860364,0.0000010553047,0.004080054,0.000003758203,0.00015827599,0.99196506,0.0014445262,0.00036593777],"study_design_scores_gemma":[0.0023153496,0.0003450916,0.000050378934,0.0076107765,0.00015457337,0.00000985548,0.003201896,0.0011830563,0.004911941,0.97790384,0.0015411194,0.00077214476],"about_ca_topic_score_codex":0.000032192776,"about_ca_topic_score_gemma":0.000070839546,"teacher_disagreement_score":0.48872554,"about_ca_system_score_codex":0.00013342999,"about_ca_system_score_gemma":0.00004718052,"threshold_uncertainty_score":0.9999378},"labels":[],"label_agreement":null},{"id":"W2753909436","doi":"10.1007/s00220-019-03314-w","title":"K3 Elliptic Genus and an Umbral Moonshine Module","year":2019,"lang":"en","type":"preprint","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Horizon 2020 Framework Programme; Aspen Center for Physics; U.S. Department of Energy; Harvard University; European Research Council; National Science Foundation","keywords":"Physics; Genus; Homogeneous space; String theory; Mathematical physics; Vertex operator algebra; Lattice (music); Pure mathematics; Algebra over a field; Mathematics; Current algebra; Geometry; Biology","score_opus":0.11752630562097825,"score_gpt":0.3820325807836909,"score_spread":0.26450627516271263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2753909436","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9368117,0.001206821,0.046711277,0.0006208429,0.00054891885,0.0020173253,0.000059046382,0.00028254438,0.011741537],"genre_scores_gemma":[0.9314481,0.00020389263,0.06762749,0.00005911545,0.00017277017,0.0001644784,0.00006993386,0.00008897104,0.00016524001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977938,0.0002918457,0.00073574187,0.00049548916,0.00034081467,0.0003423041],"domain_scores_gemma":[0.99303323,0.0011296733,0.00031427082,0.0052741957,0.000116489,0.00013214382],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00046121186,0.0004307912,0.00085350126,0.00008010846,0.00014578989,0.00015605499,0.0019847779,0.00040463242,0.000041044765],"category_scores_gemma":[0.00036435563,0.00041328365,0.0001490301,0.00017982378,0.00032615286,0.00016451329,0.0032627115,0.001423761,0.000043160162],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006231065,0.00049790245,0.00012135522,0.0005769666,0.000046585563,7.510768e-7,0.0013027043,0.00027619663,0.000010242663,0.9959093,0.00009002243,0.0011617608],"study_design_scores_gemma":[0.0003244468,0.00003079585,0.000100451056,0.00031115106,0.00009021578,0.0000034877635,0.00013748162,0.08946263,0.00002678197,0.90907234,0.00005575837,0.00038444396],"about_ca_topic_score_codex":0.000018615452,"about_ca_topic_score_gemma":0.000010196453,"teacher_disagreement_score":0.08918644,"about_ca_system_score_codex":0.0001358203,"about_ca_system_score_gemma":0.00012152525,"threshold_uncertainty_score":0.9998319},"labels":[],"label_agreement":null},{"id":"W2754741933","doi":"10.1016/j.jcta.2018.07.005","title":"Promotion on generalized oscillating tableaux and web rotation","year":2018,"lang":"en","type":"preprint","venue":"Journal of Combinatorial Theory Series A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Promotion (chess); Young tableau; Rotation (mathematics); Computer science; Pure mathematics; Mathematics; Combinatorics; Geometry; Political science","score_opus":0.03392842528636295,"score_gpt":0.30086210994625934,"score_spread":0.26693368465989636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2754741933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9775607,0.0002085504,0.00043799815,0.00029093827,0.019579912,0.0005033562,0.000009799039,0.0000533344,0.0013554161],"genre_scores_gemma":[0.9918509,0.0001440342,0.002744163,0.000030409934,0.0048594596,0.000015001053,0.0000048880015,0.00007701975,0.00027413302],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99693346,0.00061797217,0.0010820959,0.00032688404,0.0007495332,0.00029004738],"domain_scores_gemma":[0.996242,0.0003890722,0.0020388728,0.0004050963,0.0007687909,0.00015618607],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0019568626,0.00044589693,0.0009442716,0.00022026678,0.00023414496,0.00024678936,0.00039086904,0.000509724,0.00015912078],"category_scores_gemma":[0.0011485635,0.00036422568,0.0002689555,0.00013008916,0.0001721081,0.00027987067,0.0003551013,0.0009029901,0.0000016565805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014758576,0.00011060654,0.000027799433,0.0002011229,0.00021643809,0.0000114080485,0.0007820023,0.00003950464,0.00022842645,0.99530625,0.00079210714,0.0008084548],"study_design_scores_gemma":[0.0020614,0.0014781363,0.000023587847,0.0005851268,0.00020114938,0.00007086133,0.00017179605,0.00011768169,0.0015221512,0.9922252,0.0012020898,0.0003408176],"about_ca_topic_score_codex":0.000004031353,"about_ca_topic_score_gemma":9.587714e-7,"teacher_disagreement_score":0.014720453,"about_ca_system_score_codex":0.0001789678,"about_ca_system_score_gemma":0.00032935676,"threshold_uncertainty_score":0.99988097},"labels":[],"label_agreement":null},{"id":"W2755682898","doi":"10.1007/s10468-018-9829-x","title":"On the Subregular J-Rings of Coxeter Systems","year":2018,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Coxeter group; Hecke algebra; Coxeter complex; Artin group; Coxeter element; Operator (biology); Weyl group; Basis (linear algebra)","score_opus":0.030989749535715296,"score_gpt":0.29403991944971447,"score_spread":0.26305016991399915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2755682898","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99308354,0.00011477553,0.0014960058,0.00015855652,0.00048305196,0.00023615145,0.0000015156066,0.000025203173,0.004401188],"genre_scores_gemma":[0.998761,0.000008944522,0.00004546731,0.00011500525,0.0001779887,0.000014921367,8.7952446e-7,0.000014238243,0.0008615542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913865,0.00017335916,0.0002141574,0.00016592798,0.00019782888,0.000110093424],"domain_scores_gemma":[0.9984482,0.00094937417,0.00014163391,0.00033495695,0.00009232892,0.000033510412],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041496012,0.000096245894,0.00015110367,0.00003687963,0.00012874613,0.000032604486,0.00012658274,0.000057166755,0.00015159781],"category_scores_gemma":[0.00024912824,0.00005582422,0.00004898586,0.000089424866,0.00025726188,0.00005119461,0.000049325627,0.00006633439,0.000009348745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059462203,0.000015294865,0.00016039704,0.000018908222,0.000047018228,5.4343354e-7,0.0008691323,0.0000011006107,0.00028974633,0.997254,0.0009697488,0.0003146108],"study_design_scores_gemma":[0.00023074668,0.00009363342,0.00055904273,0.00003357603,0.000027421132,0.0000056127333,0.00060627284,0.000093497685,0.0066937357,0.9914979,0.0000883942,0.000070205584],"about_ca_topic_score_codex":0.000018580928,"about_ca_topic_score_gemma":6.653107e-7,"teacher_disagreement_score":0.0064039896,"about_ca_system_score_codex":0.0000065415707,"about_ca_system_score_gemma":0.000009943342,"threshold_uncertainty_score":0.22764456},"labels":[],"label_agreement":null},{"id":"W2756473235","doi":"10.1093/imrn/rny092","title":"Affine Wreath Product Algebras","year":2018,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Categorification; Wreath product; Mathematics; Affine transformation; Mathematical proof; Pure mathematics; Representation theory; Algebra over a field; Product (mathematics)","score_opus":0.17860859659535294,"score_gpt":0.4565856209834974,"score_spread":0.2779770243881445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2756473235","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85443234,0.00008545114,0.001507406,0.0028735553,0.0024556476,0.0007044627,0.000014947782,0.0002285983,0.13769756],"genre_scores_gemma":[0.96958554,0.000011306849,0.021419708,0.000050369646,0.0025594584,0.000058736914,0.000006078165,0.000054759348,0.0062540197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965033,0.000119045886,0.0005007943,0.00045466615,0.0018814629,0.0005407262],"domain_scores_gemma":[0.99639314,0.0012456118,0.00017256438,0.00066893693,0.0013722613,0.00014747033],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016589214,0.00022341279,0.00028356374,0.00033863823,0.00029423344,0.0002875964,0.0012264182,0.00009442306,0.002315953],"category_scores_gemma":[0.0037693435,0.00017846104,0.00010242974,0.00036366584,0.00041904504,0.00029679207,0.00045537192,0.00039534448,0.0004896643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002749442,0.00028828607,0.000106652216,0.00008373218,0.00013315871,0.0000075847174,0.001332995,0.0000018769929,0.0004755415,0.9885721,0.0077107577,0.0012597892],"study_design_scores_gemma":[0.00037841444,0.0001453563,0.00014418473,0.000113080605,0.000017223218,0.000012735276,0.0003132436,0.0020521404,0.0052321567,0.98296535,0.008424382,0.00020173051],"about_ca_topic_score_codex":0.0000400369,"about_ca_topic_score_gemma":0.00004290518,"teacher_disagreement_score":0.13144355,"about_ca_system_score_codex":0.00014472393,"about_ca_system_score_gemma":0.000112518304,"threshold_uncertainty_score":0.9985961},"labels":[],"label_agreement":null},{"id":"W2760757164","doi":"10.4171/jems/855","title":"Azumaya algebras without involution","year":2018,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Involution (esoterism); Pure mathematics; Brauer group; Algebra over a field; Epistemology","score_opus":0.03346171616868221,"score_gpt":0.2869316907439063,"score_spread":0.2534699745752241,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2760757164","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9451021,0.000064971304,0.027536694,0.0009608249,0.0014889295,0.00020836221,0.0000011468925,0.000053345902,0.024583627],"genre_scores_gemma":[0.9806259,0.0000068267136,0.016351363,0.0003185467,0.0019483541,5.446829e-7,7.65701e-8,0.000045664638,0.00070267107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980335,0.0003451951,0.0006630256,0.00012231215,0.0005947257,0.00024121211],"domain_scores_gemma":[0.9983574,0.00021087735,0.0006228576,0.00041393167,0.00027517666,0.0001197651],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017346722,0.00017406173,0.00032711073,0.000016353866,0.00025489708,0.00006332801,0.00070941244,0.0000673774,0.00016908205],"category_scores_gemma":[0.0007681999,0.00009492693,0.00060670875,0.00016625291,0.00030011917,0.0001263517,0.0002462668,0.0003987565,0.00006710627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031970474,0.00021096418,0.0003020565,0.00011883986,0.00027933854,0.0000041360263,0.004504064,0.0000022673187,0.00084390264,0.9422401,0.050513778,0.00094856624],"study_design_scores_gemma":[0.0005163825,0.00010685447,0.0007042505,0.00016188387,0.00011940311,0.00011628898,0.00022849713,0.00022731835,0.00054422684,0.99582464,0.0013251014,0.00012515509],"about_ca_topic_score_codex":5.295075e-7,"about_ca_topic_score_gemma":2.6574708e-7,"teacher_disagreement_score":0.053584523,"about_ca_system_score_codex":0.00008888653,"about_ca_system_score_gemma":0.00004958187,"threshold_uncertainty_score":0.3871008},"labels":[],"label_agreement":null},{"id":"W2761151910","doi":"10.1139/p03-105","title":"Supersymmetry in five-dimensional spaces of constant curvature","year":2003,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Constant curvature; Supersymmetry; Curvature; Constant (computer programming); Symmetry (geometry); Cosmological constant","score_opus":0.01984613051840141,"score_gpt":0.2485204369618505,"score_spread":0.2286743064434491,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2761151910","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9971032,0.0005446605,0.00009760725,0.000104309234,0.00069078547,0.000053959553,0.0000113136375,0.0000014191296,0.00139275],"genre_scores_gemma":[0.9986565,0.000003192718,0.0011247547,0.00005856987,0.00010222946,2.6006757e-7,4.350711e-7,0.000011678447,0.000042382297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921125,0.000055231158,0.00029434115,0.00006882101,0.00018150194,0.00018885499],"domain_scores_gemma":[0.9991435,0.00013895996,0.00020241458,0.00011634062,0.00018387537,0.00021492256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018138881,0.000100093544,0.000284619,0.00009775305,0.000034264143,0.000013750422,0.00013040977,0.00007582038,0.00006906735],"category_scores_gemma":[0.00025109274,0.00008583198,0.00009910201,0.00020904507,0.000081593505,0.0000857612,0.0000047442186,0.00026318186,6.5166546e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000071148384,0.000017864717,0.0026327162,0.00002011174,0.00003914551,0.0000442634,0.00059091445,0.000096398624,0.00011497887,0.99452806,0.0017477412,0.00016070734],"study_design_scores_gemma":[0.00055003737,0.000063946645,0.00023925751,0.00010512941,0.000026496775,0.000039660772,0.00042094183,0.000017813001,0.002018206,0.99570686,0.00071051926,0.00010114819],"about_ca_topic_score_codex":0.0005516425,"about_ca_topic_score_gemma":0.0014519993,"teacher_disagreement_score":0.0023934587,"about_ca_system_score_codex":0.00008398563,"about_ca_system_score_gemma":0.001099185,"threshold_uncertainty_score":0.3500127},"labels":[],"label_agreement":null},{"id":"W2762045958","doi":"10.1007/s00220-018-3210-0","title":"Noncommutative Painlevé Equations and Systems of Calogero Type","year":2018,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"H2020 Marie Skłodowska-Curie Actions; Natural Sciences and Engineering Research Council of Canada; Horizon 2020 Framework Programme; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; Russian Foundation for Basic Research; Agence Nationale de la Recherche","keywords":"Noncommutative geometry; Trigonometry; Generalization; Hamiltonian system; Type (biology); Hamiltonian (control theory); Coupling (piping)","score_opus":0.14206149142092833,"score_gpt":0.3903598261018164,"score_spread":0.24829833468088808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2762045958","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59133613,0.0011012512,0.35868645,0.0007575383,0.00054855226,0.0018739611,0.00003414745,0.00020501872,0.04545698],"genre_scores_gemma":[0.9780667,0.000028060676,0.021727111,0.000018103905,0.000054292068,0.0000368586,0.000005024188,0.000019149002,0.000044731525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988888,0.00021207785,0.00045532535,0.00012695714,0.00016968942,0.00014718474],"domain_scores_gemma":[0.995413,0.0028250322,0.0001759878,0.0012775594,0.00026222895,0.000046173165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041270445,0.00012442803,0.00032997553,0.00004667089,0.00012958444,0.000023669005,0.00053562556,0.00007859033,0.000016637392],"category_scores_gemma":[0.0010409704,0.00011010754,0.00003837799,0.00036041447,0.0006126941,0.000086217166,0.0003517596,0.00019205257,0.000014377548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049742207,0.00017664458,0.00008097608,0.0000851001,0.000023331118,1.0818409e-7,0.0023623295,0.000005074467,0.00006700533,0.99666363,0.00007090179,0.00045993816],"study_design_scores_gemma":[0.00022252032,0.000069117006,0.000055595614,0.00014201453,0.000029521521,0.0000014106162,0.0005885142,0.024180863,0.00010593567,0.97445625,0.00004262471,0.00010564113],"about_ca_topic_score_codex":0.000018297489,"about_ca_topic_score_gemma":0.000009107631,"teacher_disagreement_score":0.38673055,"about_ca_system_score_codex":0.000038631177,"about_ca_system_score_gemma":0.000044250068,"threshold_uncertainty_score":0.4490055},"labels":[],"label_agreement":null},{"id":"W2765682174","doi":"10.48550/arxiv.1601.00047","title":"Bott-Samelson varieties and Poisson Ore extensions","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Iterated function; Poisson distribution; Combinatorics; Mathematics; Affine transformation; Affine variety; Center (category theory); Field (mathematics); Poisson manifold; Algebra over a field; Pure mathematics; Mathematical analysis; Crystallography; Statistics","score_opus":0.09908297340716796,"score_gpt":0.21335454223169054,"score_spread":0.11427156882452258,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765682174","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9731034,0.00017220971,0.02077671,0.0002318879,0.001284494,0.00036155715,0.000032096996,0.00022655106,0.0038110726],"genre_scores_gemma":[0.99555504,0.0002669683,0.0002660696,0.000049729217,0.00020596123,0.0000011264389,0.0000056028935,0.00004571471,0.0036037816],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984589,0.000098461394,0.00020492158,0.000793641,0.00010652803,0.00033752894],"domain_scores_gemma":[0.99825215,0.00030715013,0.00024396017,0.0008531249,0.0001598878,0.00018373091],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014038141,0.00038261779,0.0004898519,0.0001303729,0.00020287812,0.0000599498,0.000437557,0.00051671645,0.00013267277],"category_scores_gemma":[0.0001503652,0.00033538183,0.00018392755,0.00012472336,0.00018799631,0.000116658695,0.0011496228,0.0004866334,0.000015569418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054484488,0.000033693574,0.0004290945,0.00010370018,0.00010656345,0.000073657364,0.00022451038,0.000102098544,0.000019908646,0.99775,0.00095388084,0.00014839851],"study_design_scores_gemma":[0.0005236012,0.00004505391,0.00043574104,0.00016579663,0.00020924119,0.0000067453702,0.00015466654,0.0013207414,0.000059707687,0.99618924,0.00046826538,0.0004211789],"about_ca_topic_score_codex":0.000073371135,"about_ca_topic_score_gemma":0.000015632259,"teacher_disagreement_score":0.022451624,"about_ca_system_score_codex":0.00011744471,"about_ca_system_score_gemma":0.0001060784,"threshold_uncertainty_score":0.9999098},"labels":[],"label_agreement":null},{"id":"W2766675614","doi":"10.1112/s1461157017000031","title":"The Schwarzian equation for completely replicable functions","year":2017,"lang":"en","type":"article","venue":"LMS Journal of Computation and Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; University of Ottawa","funders":"","keywords":"Mathematics; Schwarzian derivative; Pure mathematics; Algebra over a field; Mathematical economics; Calculus (dental)","score_opus":0.12743808203680007,"score_gpt":0.3700556868078514,"score_spread":0.24261760477105132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766675614","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12854977,0.0000991328,0.8680802,0.001392808,0.00086207833,0.00028520863,0.0000026121768,0.000015396743,0.0007128084],"genre_scores_gemma":[0.9121511,0.00002867371,0.08716923,0.00003636023,0.00025561996,0.00000756249,0.0000010286096,0.00001743476,0.00033299738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909806,0.000021906122,0.00047307683,0.000073276795,0.00021648813,0.00011718216],"domain_scores_gemma":[0.9973778,0.0009044945,0.0010423033,0.00023564228,0.00037899977,0.000060729613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066765107,0.00009220674,0.00021286847,0.000035807472,0.0010535778,0.0003250028,0.00021555027,0.00004589475,0.0000040580644],"category_scores_gemma":[0.0010411788,0.00005968116,0.00009483021,0.000024605613,0.00008086439,0.00017429641,0.0000399994,0.00010221692,0.0000010867486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003369033,0.00004545931,0.000019042858,0.000079309924,0.0000700432,6.140287e-7,0.0006032856,0.00019262539,0.000041034196,0.9876518,0.002902666,0.008360397],"study_design_scores_gemma":[0.000691643,0.00012995742,0.00012655446,0.00005449588,0.00006641619,0.00004833324,0.00038044536,0.025967171,0.000056132852,0.9703218,0.0020882697,0.00006882097],"about_ca_topic_score_codex":0.0000015394105,"about_ca_topic_score_gemma":0.0000020914351,"teacher_disagreement_score":0.78360134,"about_ca_system_score_codex":0.000018246725,"about_ca_system_score_gemma":0.00004100506,"threshold_uncertainty_score":0.8103375},"labels":[],"label_agreement":null},{"id":"W2767138750","doi":"10.3792/pjaa.95.107","title":"Graph equivariant cohomological rigidity for GKM graphs","year":2019,"lang":"en","type":"article","venue":"Proceedings of the Japan Academy Series A Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Equivariant map; Equivariant cohomology; Graph isomorphism; Isomorphism (crystallography); Combinatorics; Discrete mathematics; Graph; Cohomology; Pure mathematics; Line graph; Chemistry","score_opus":0.05189892532093897,"score_gpt":0.30935732092237295,"score_spread":0.25745839560143396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2767138750","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9881959,0.000030181853,0.00009189223,0.0027891754,0.000305242,0.0011392416,0.0000073382844,0.00008489483,0.0073561594],"genre_scores_gemma":[0.9875761,0.000008363031,0.011516487,0.0001613194,0.00007918017,0.000077152676,1.436645e-7,0.000017596503,0.0005636425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976249,0.000016638067,0.000597699,0.00045386216,0.00076966855,0.00053727353],"domain_scores_gemma":[0.99852645,0.00064226065,0.00046259066,0.00013501158,0.00012151052,0.00011218564],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014257011,0.00026520612,0.00057443563,0.00006996845,0.00035942224,0.00011283333,0.001512483,0.00024044562,0.00017818791],"category_scores_gemma":[0.0012703728,0.00014293489,0.00033064044,0.00060841534,0.0010625699,0.00045541712,0.00042883353,0.00028065618,0.000007482212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045593548,0.000061767794,0.00079886726,0.00036765522,0.00002781012,1.9290217e-8,0.0003393922,8.6874104e-7,0.0021121579,0.9955189,0.0006874165,0.000039507242],"study_design_scores_gemma":[0.00029310823,0.00027744946,0.00042118772,0.00012782819,0.00005778337,0.000024230956,0.0006574422,0.00018336967,0.00856395,0.9889763,0.00020591768,0.00021146072],"about_ca_topic_score_codex":0.000002803479,"about_ca_topic_score_gemma":2.2351718e-7,"teacher_disagreement_score":0.011424595,"about_ca_system_score_codex":0.00002501817,"about_ca_system_score_gemma":0.000035464054,"threshold_uncertainty_score":0.58287156},"labels":[],"label_agreement":null},{"id":"W2768841917","doi":"10.1007/jhep11(2018)109","title":"Webs of W-algebras","year":2018,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":66,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Deutsche Forschungsgemeinschaft","keywords":"Vertex (graph theory); Vertex operator algebra; Operator (biology); Physics; Operator algebra; Algorithm; Algebra over a field; Pure mathematics; Combinatorics; Mathematics; Current algebra; Jordan algebra; Chemistry","score_opus":0.019637641619361837,"score_gpt":0.263921554902246,"score_spread":0.24428391328288418,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2768841917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.943392,0.00008513642,0.053333618,0.000100662335,0.0015548461,0.000021137048,0.0000014481943,0.000011488053,0.001499696],"genre_scores_gemma":[0.99428767,0.000018981887,0.003212223,0.00008207236,0.002229465,4.4555165e-7,3.2754352e-7,0.000021312262,0.00014751595],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893224,0.000037091653,0.0004467327,0.0000771675,0.00036740268,0.00013936842],"domain_scores_gemma":[0.9985029,0.000122507,0.000653613,0.00021934994,0.00043578164,0.00006583535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011385355,0.000118108605,0.00036092187,0.00004356667,0.00004389227,0.000011959867,0.00026522696,0.0000663832,0.00006801622],"category_scores_gemma":[0.00005228467,0.00008918912,0.00017067164,0.00015027038,0.000097152,0.00012846371,0.000045207235,0.00010991932,0.000001804119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004689767,0.00007792969,0.000027665068,0.000011817477,0.000099480014,0.0000032117607,0.0001247165,0.000009067966,0.000269191,0.9953441,0.0027328543,0.0012530575],"study_design_scores_gemma":[0.00048388206,0.0003464633,0.00008117659,0.000039991355,0.00006069687,0.00001628407,0.000022415252,0.000015678892,0.04269818,0.95513064,0.0010179201,0.000086661894],"about_ca_topic_score_codex":0.000017421315,"about_ca_topic_score_gemma":0.000002624592,"teacher_disagreement_score":0.050895687,"about_ca_system_score_codex":0.00002589721,"about_ca_system_score_gemma":0.00008157323,"threshold_uncertainty_score":0.36370265},"labels":[],"label_agreement":null},{"id":"W2770214242","doi":"10.21468/scipostphys.5.5.054","title":"Exact large-scale correlations in integrable systems out of equilibrium","year":2018,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Centre National d’Etudes Spatiales","keywords":"Integrable system; Homogeneous; Quantum; Exact solutions in general relativity; Quantum field theory; Series (stratigraphy); Exponential function; Projection (relational algebra); Universality (dynamical systems)","score_opus":0.032386165786481284,"score_gpt":0.30232125709023805,"score_spread":0.26993509130375676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770214242","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97058326,0.000072749375,0.00990132,0.000039409366,0.003301184,0.0003504721,0.000028949196,0.00006523586,0.015657391],"genre_scores_gemma":[0.99832773,0.0000013492322,0.0004096684,0.000012047712,0.0004915379,0.000010836601,0.000006447753,0.00002455144,0.0007158276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99895257,0.000049316186,0.00031952542,0.00018742488,0.00023455553,0.00025661063],"domain_scores_gemma":[0.99909085,0.0001407179,0.00015721195,0.0004018583,0.00016054486,0.000048832677],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019690233,0.0001310573,0.00028504923,0.000041586038,0.000054261087,0.000026304397,0.00020944548,0.000087552755,0.00004428183],"category_scores_gemma":[0.0000726204,0.00011597421,0.00007307879,0.00025131076,0.00009255253,0.00015599359,0.000096894866,0.00014906256,0.00003575063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025365574,0.0001737954,0.0016416453,0.00008749671,0.000028921226,6.9363097e-7,0.0041065314,0.000095484334,0.000806392,0.9912177,0.0016796109,0.00013636214],"study_design_scores_gemma":[0.00053110573,0.000117157695,0.00027212527,0.00014248585,0.000028034106,8.536742e-7,0.0006493277,0.009915966,0.0024488138,0.98525846,0.0004704037,0.00016523911],"about_ca_topic_score_codex":0.000058802045,"about_ca_topic_score_gemma":0.000055646455,"teacher_disagreement_score":0.027744446,"about_ca_system_score_codex":0.00004673736,"about_ca_system_score_gemma":0.00006595174,"threshold_uncertainty_score":0.47292912},"labels":[],"label_agreement":null},{"id":"W2770267596","doi":"10.1090/conm/711/14299","title":"On infinite order simple current extensions of vertex operator algebras","year":2018,"lang":"en","type":"preprint","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Simple (philosophy); Vertex (graph theory); Categorical variable; Operator (biology); Vertex operator algebra; Lattice (music); Extension (predicate logic); Operator algebra; Current (fluid); Construct (python library); Order (exchange); Pure mathematics; Current algebra; Algebra over a field; Discrete mathematics; Combinatorics; Jordan algebra; Computer science; Physics; Graph","score_opus":0.06813618783942622,"score_gpt":0.3435765680193725,"score_spread":0.27544038017994626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770267596","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8959365,0.0008426657,0.08223985,0.00051483617,0.002176181,0.004435524,0.0005213029,0.0008429448,0.012490223],"genre_scores_gemma":[0.9119299,0.0001253226,0.08586048,0.00048491405,0.00048519654,0.0003587323,0.00012224798,0.00040139738,0.00023180351],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9927466,0.00030419923,0.0028744736,0.001351221,0.0017854841,0.00093805155],"domain_scores_gemma":[0.98875946,0.0039290795,0.0025862427,0.0030816025,0.0010699312,0.00057371065],"candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0012098289,0.0014912095,0.0035768517,0.00017736113,0.0003265801,0.00021797372,0.0016912536,0.0006769422,0.0008457401],"category_scores_gemma":[0.0034908382,0.0012099283,0.0016315787,0.0007983245,0.0018491998,0.00015008134,0.0020656292,0.0018403489,0.00015145398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006029307,0.0021483058,0.000034506793,0.004522756,0.0009137265,0.0000071665436,0.0053328234,0.000019578176,0.000053355772,0.92148083,0.06489813,0.0005285502],"study_design_scores_gemma":[0.0008838426,0.00046499455,0.000015884641,0.0020480477,0.00035688194,0.000008388134,0.0012263292,0.008861868,0.0002738531,0.9839681,0.0007026091,0.0011892287],"about_ca_topic_score_codex":0.000028801736,"about_ca_topic_score_gemma":0.0000011320794,"teacher_disagreement_score":0.06419552,"about_ca_system_score_codex":0.00023808304,"about_ca_system_score_gemma":0.0009909585,"threshold_uncertainty_score":0.9997837},"labels":[],"label_agreement":null},{"id":"W2775447189","doi":"10.1016/j.nuclphysb.2018.03.005","title":"The logarithmic Cardy case: Boundary states and annuli","year":2018,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Vetenskapsrådet; Austrian Science Fund","keywords":"Conformal map; Boundary (topology); Central charge; Minimal models; Conformal field theory; Theoretical physics; Boundary conformal field theory; Interpretation (philosophy); Pure mathematics; Physics; Rational function; Mathematics; Algebra over a field; Geometry; Mathematical analysis; Free boundary problem; Computer science","score_opus":0.01810066971120247,"score_gpt":0.2740029568622524,"score_spread":0.2559022871510499,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2775447189","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9959629,0.00010044585,0.00012448244,0.000226023,0.0005340839,0.00013139332,0.0000074113004,0.000073189534,0.0028400458],"genre_scores_gemma":[0.9985782,0.000031467338,0.00037010238,0.00012276911,0.00069164176,0.0000025886904,8.292817e-7,0.000034867426,0.00016753718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999372,0.000033121254,0.000110475354,0.0001552234,0.00013637521,0.0001928129],"domain_scores_gemma":[0.9994046,0.00011628167,0.000054963377,0.0002939512,0.000079942096,0.000050238286],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009538399,0.00011080713,0.000121916186,0.0000069588805,0.00062874716,0.00014453183,0.00012157654,0.00004727185,0.00002609783],"category_scores_gemma":[0.000028989482,0.000076841185,0.000039519564,0.00006112539,0.00031379945,0.00007546822,0.00011100696,0.00012785893,0.000027810749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017935852,0.000016193862,0.00001849988,0.000012923126,0.000045205958,0.00002536733,0.001773497,3.624076e-7,0.000046186015,0.9793825,0.00838595,0.010275379],"study_design_scores_gemma":[0.00019441484,0.00008796254,0.00004016679,0.0000064404026,0.000022031278,0.00009541678,0.0004429939,0.0006906519,0.0000828527,0.9682127,0.030019924,0.00010439597],"about_ca_topic_score_codex":0.000065481174,"about_ca_topic_score_gemma":0.000018021832,"teacher_disagreement_score":0.021633975,"about_ca_system_score_codex":0.000019696068,"about_ca_system_score_gemma":0.000019706242,"threshold_uncertainty_score":0.48358783},"labels":[],"label_agreement":null},{"id":"W2777186554","doi":"10.1142/s021919971950024x","title":"A quasi-Hopf algebra for the triplet vertex operator algebra","year":2019,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Vertex operator algebra; Quantum group; Cellular algebra; Operator algebra; Filtered algebra; Algebra representation; Current algebra; Algebra over a field; Quantum algebra; Group algebra","score_opus":0.14087188307485898,"score_gpt":0.36252785665181286,"score_spread":0.22165597357695388,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2777186554","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8095546,0.021214308,0.05684618,0.024930358,0.005334203,0.024239084,0.00025635745,0.0011368399,0.056488097],"genre_scores_gemma":[0.97284913,0.00016658942,0.024566192,0.00040948638,0.00006212769,0.00071178353,0.000030114488,0.000088910856,0.0011156781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977586,0.00019782895,0.0010258021,0.0003299712,0.00033425709,0.00035352018],"domain_scores_gemma":[0.9885513,0.006461959,0.00037797118,0.0043304623,0.00019758647,0.00008072991],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012440241,0.0003387665,0.00064207317,0.00013208472,0.00033788767,0.00014006463,0.0027618753,0.00020332093,0.00011801943],"category_scores_gemma":[0.0010348347,0.0002498558,0.00024142141,0.00042348955,0.00018998214,0.0002695938,0.00062734465,0.00046273487,0.000066814166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029237766,0.00055515755,0.00023835007,0.00017784775,0.000100591824,5.4976056e-7,0.002739475,0.000004384916,0.00003396374,0.98873943,0.0068591707,0.00052186643],"study_design_scores_gemma":[0.0018668969,0.00015263836,0.000044459746,0.00020275664,0.000050043804,0.000007680508,0.0025849196,0.021370701,0.000088216635,0.9551313,0.018147517,0.00035285723],"about_ca_topic_score_codex":0.00003081964,"about_ca_topic_score_gemma":0.000034080884,"teacher_disagreement_score":0.16329454,"about_ca_system_score_codex":0.00010471084,"about_ca_system_score_gemma":0.00027297193,"threshold_uncertainty_score":0.99999535},"labels":[],"label_agreement":null},{"id":"W2777750777","doi":"10.1142/s021949881850216x","title":"Derived class of m-cluster tilted algebras of type 𝔸","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Sherbrooke","keywords":"Mathematics; Type (biology); Class (philosophy); Pure mathematics; Cluster (spacecraft); Cluster algebra; Algebra over a field; Physics; Quantum mechanics; Computer science; Quantum","score_opus":0.0360802396664232,"score_gpt":0.31591899430064996,"score_spread":0.27983875463422675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2777750777","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9960974,0.00042104514,0.0016274338,0.00045624608,0.00017011781,0.00020794172,0.000004995474,0.0000051984816,0.001009618],"genre_scores_gemma":[0.9977983,0.0001608457,0.0017474013,0.000030466254,0.00014876075,0.0000045308943,6.5863986e-7,0.000013923179,0.00009511079],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990194,0.000023171304,0.00054284104,0.00009476793,0.00021520046,0.000104633276],"domain_scores_gemma":[0.9976593,0.00016976404,0.0011939409,0.00037085972,0.000524135,0.00008194917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018951428,0.000104183055,0.0003532167,0.00007172104,0.00013849034,0.000026871252,0.00037828152,0.00009224684,0.000056665333],"category_scores_gemma":[0.00025416407,0.000081117076,0.00009666124,0.00006868467,0.00009827362,0.0001577349,0.00008965056,0.00013494267,0.0000015197875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007210256,0.00011221615,0.00035094898,0.00011014945,0.0001466399,5.541386e-7,0.00029412558,0.0000023930186,0.014774078,0.9815763,0.0006129175,0.0019475443],"study_design_scores_gemma":[0.0009957337,0.0002087701,0.005065938,0.00008275276,0.00017967461,0.000033963097,0.00010691491,0.00012023969,0.019642526,0.9714419,0.001998374,0.00012319282],"about_ca_topic_score_codex":0.0000035231988,"about_ca_topic_score_gemma":0.0000017490986,"teacher_disagreement_score":0.01013441,"about_ca_system_score_codex":0.00001108953,"about_ca_system_score_gemma":0.00007532741,"threshold_uncertainty_score":0.33078584},"labels":[],"label_agreement":null},{"id":"W2777761336","doi":"10.55730/1300-0098.3127","title":"The Arens-Michael envelopes of Laurent Ore extensions","year":2022,"lang":"en","type":"article","venue":"TURKISH JOURNAL OF MATHEMATICS","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Bimodule; Mathematics; Invertible matrix; Tensor product; Algebra over a field; Tensor (intrinsic definition); Pure mathematics","score_opus":0.03385051237390984,"score_gpt":0.28292838663311365,"score_spread":0.2490778742592038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2777761336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99261385,0.0015499876,0.0019449367,0.0009934257,0.0018475316,0.0002803704,0.000017142684,0.000023851691,0.0007288758],"genre_scores_gemma":[0.9884323,0.0001325252,0.010735418,0.00006285189,0.00020169487,0.000008171567,8.581581e-7,0.000038564976,0.0003876305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976164,0.00011756797,0.0010257905,0.00009559035,0.00091468845,0.00022994282],"domain_scores_gemma":[0.99673647,0.0011084594,0.0013189494,0.00040300735,0.00034740093,0.00008572917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011288014,0.00017093301,0.0004861369,0.00008625052,0.00039611096,0.000032461594,0.0007164829,0.00004802242,0.00019611334],"category_scores_gemma":[0.00077975856,0.00010602324,0.00027156388,0.00020159554,0.00009960444,0.00006138094,0.00028410426,0.0004805762,0.0000015234167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005612507,0.0004241368,0.000050130104,0.00013767631,0.0002777343,0.000038144153,0.0060432344,0.00022572775,0.00035289404,0.9655211,0.02544934,0.0014237709],"study_design_scores_gemma":[0.0004912617,0.00020246129,0.000043022148,0.00008043072,0.00013459432,0.00048632352,0.0063875155,0.00023590832,0.0005946316,0.9864121,0.0048040138,0.00012774812],"about_ca_topic_score_codex":0.0000026707608,"about_ca_topic_score_gemma":0.0000026818673,"teacher_disagreement_score":0.020891001,"about_ca_system_score_codex":0.00006902775,"about_ca_system_score_gemma":0.00014507312,"threshold_uncertainty_score":0.43235022},"labels":[],"label_agreement":null},{"id":"W2779247840","doi":"10.21468/scipostphys.4.6.045","title":"Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model","year":2018,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":93,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Centre National d’Etudes Spatiales; Erasmus+; King's College London","keywords":"Integrable system; Radiative transfer; Ansatz; Bethe ansatz; Euler's formula; Formalism (music); Quantum","score_opus":0.029686762730833174,"score_gpt":0.3013561263418008,"score_spread":0.27166936361096766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2779247840","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9002292,0.00003630549,0.08765983,0.0006987161,0.0008811986,0.00029605662,0.000011532186,0.0000796342,0.010107502],"genre_scores_gemma":[0.99552155,0.0000060871057,0.0027700725,0.00028476949,0.000561043,0.000010687329,0.0000034399595,0.000033510158,0.0008088435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879396,0.0000902105,0.00027227716,0.00022565872,0.0003508911,0.00026701906],"domain_scores_gemma":[0.9985579,0.000365835,0.00016402808,0.0006629168,0.00019558608,0.000053736025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029985222,0.00018848124,0.0002910525,0.000019316745,0.00018291597,0.000034911955,0.00047719968,0.00013194191,0.000053452353],"category_scores_gemma":[0.00017789389,0.000119979726,0.00016231122,0.0002075019,0.000282498,0.00009387994,0.00016747849,0.00026176474,0.000009119172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008378457,0.00006358984,0.000010765483,0.000016401686,0.00004923218,2.513648e-7,0.0007032652,0.00025675405,0.00064322964,0.9947169,0.0018258359,0.0016300273],"study_design_scores_gemma":[0.0002774387,0.00012493052,0.0000030766798,0.000020599418,0.000056982484,9.754104e-7,0.00006213023,0.15176487,0.007853748,0.8395566,0.00015332048,0.00012534899],"about_ca_topic_score_codex":0.00002342587,"about_ca_topic_score_gemma":0.000018142684,"teacher_disagreement_score":0.1551603,"about_ca_system_score_codex":0.000031588144,"about_ca_system_score_gemma":0.00009187115,"threshold_uncertainty_score":0.48926315},"labels":[],"label_agreement":null},{"id":"W2781011337","doi":"10.1063/1.5020662","title":"Local optima of the Sherrington-Kirkpatrick Hamiltonian","year":2019,"lang":"en","type":"preprint","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Ciência sem Fronteiras; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Ministerio de Economía y Competitividad; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Hamiltonian (control theory); Mathematics; Mathematical economics; Physics; Mathematical optimization","score_opus":0.03471489966665193,"score_gpt":0.29214435347575435,"score_spread":0.2574294538091024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2781011337","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6316117,0.00036045525,0.35589454,0.0004996401,0.0048490316,0.0010158252,0.00002978259,0.000037353002,0.005701651],"genre_scores_gemma":[0.9859368,0.000018678513,0.013040321,0.00004891158,0.00069062604,0.0000039639062,6.3935613e-7,0.00007652398,0.0001835249],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965108,0.00014915453,0.0015148438,0.0002328386,0.0012850015,0.00030738208],"domain_scores_gemma":[0.9950564,0.0008023926,0.0024089084,0.0010977547,0.0005053817,0.00012918383],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006380723,0.0004241154,0.0014348971,0.00006143057,0.000056951074,0.00005722702,0.0014601402,0.00041862734,0.000086474465],"category_scores_gemma":[0.00047724022,0.00025638408,0.0012211001,0.00017529394,0.00023428875,0.000092961636,0.0010468478,0.0016437751,0.000011009672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006453612,0.00053954765,0.000056222936,0.0025838257,0.0005054915,0.000007560521,0.0010436219,0.006990078,0.00004884072,0.98449403,0.002370866,0.0012953833],"study_design_scores_gemma":[0.00054801354,0.0001092537,0.000063724365,0.0012849612,0.0004238605,0.000036010002,0.000112965085,0.003805713,0.0013933859,0.9919027,0.00006906218,0.00025036497],"about_ca_topic_score_codex":0.0000040836308,"about_ca_topic_score_gemma":2.9953202e-7,"teacher_disagreement_score":0.3543251,"about_ca_system_score_codex":0.00016714602,"about_ca_system_score_gemma":0.00043697786,"threshold_uncertainty_score":0.99998885},"labels":[],"label_agreement":null},{"id":"W2783455400","doi":"10.1007/s00222-019-00884-3","title":"W-algebras as coset vertex algebras","year":2019,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":103,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Coset; Vertex operator algebra; Conjecture; Realization (probability); Unitary state; Pure mathematics; Unitarity; Vertex (graph theory); Principal (computer security); Simple (philosophy); Algebra over a field; Combinatorics; Algebra representation; Jordan algebra; Quantum mechanics; Physics","score_opus":0.02815069171614366,"score_gpt":0.29767475804975363,"score_spread":0.26952406633361,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2783455400","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96448255,0.000103097824,0.0008737604,0.0003515397,0.0015124036,0.0008044787,0.0000056082017,0.00033138948,0.031535182],"genre_scores_gemma":[0.9892559,0.000009536206,0.0030785908,0.00028715393,0.00013809852,0.00007128955,0.000013796355,0.0000862805,0.00705932],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976238,0.00009268734,0.00068374467,0.0004585659,0.0006751203,0.0004660641],"domain_scores_gemma":[0.9979957,0.00045563685,0.00030303106,0.00094264746,0.00012906028,0.00017393685],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00039902082,0.0003572853,0.0005853846,0.00013342882,0.00014202224,0.00011386484,0.0005130935,0.0002071562,0.0064305197],"category_scores_gemma":[0.00042733332,0.00030902604,0.00032806105,0.0002957464,0.0000839826,0.00026179425,0.000182695,0.00023999385,0.004685993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019549305,0.00018339527,0.00022134368,0.0003117951,0.000109265726,0.0000060673124,0.00041909752,0.0000011304003,0.00022894586,0.99372375,0.0045080245,0.0002676213],"study_design_scores_gemma":[0.00087744853,0.00011516838,0.00018080884,0.00020236708,0.00008509368,0.000056736062,0.00027043044,0.00026710305,0.0011725845,0.9948656,0.0015278663,0.0003788012],"about_ca_topic_score_codex":0.00001421346,"about_ca_topic_score_gemma":0.0000037160041,"teacher_disagreement_score":0.024773395,"about_ca_system_score_codex":0.00007320978,"about_ca_system_score_gemma":0.00007371836,"threshold_uncertainty_score":0.99993616},"labels":[],"label_agreement":null},{"id":"W2785284721","doi":"10.1090/jams/918","title":"Cluster theory of the coherent Satake category","year":2019,"lang":"lv","type":"preprint","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Categorification; Mathematics; Pure mathematics; Derived category; Equivariant map; Biproduct; Grassmannian; Product (mathematics); Enriched category; Algebra over a field; Functor; Concrete category; Geometry","score_opus":0.02348544283773623,"score_gpt":0.27633934376048364,"score_spread":0.2528539009227474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2785284721","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9688311,0.0005963303,0.017377071,0.004068863,0.005294677,0.0017936879,0.000050851202,0.00002076957,0.0019666567],"genre_scores_gemma":[0.99128556,0.00020003268,0.0047144447,0.0012115807,0.00081560534,0.0000126763425,6.247284e-7,0.00012583139,0.0016336682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9928403,0.0013204614,0.0026310366,0.00041455304,0.0021664074,0.0006272612],"domain_scores_gemma":[0.9840863,0.0032791218,0.00931176,0.002475808,0.000631214,0.00021579581],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0031112314,0.00077396573,0.002615703,0.000039482304,0.00026732948,0.000116261705,0.0039753397,0.00043245385,0.000415457],"category_scores_gemma":[0.0013993222,0.0003666617,0.005328171,0.00043677678,0.0020249947,0.0000917449,0.0029152534,0.0030792684,0.000028784247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007876816,0.0016407215,0.00089822925,0.0053535625,0.0064722686,0.0000034095547,0.022559166,0.0019573872,0.0005599416,0.9230356,0.034430657,0.0023013828],"study_design_scores_gemma":[0.0009016833,0.00026235092,0.0014242673,0.0015987174,0.0016651483,0.000116154326,0.004760204,0.0012016458,0.00050246407,0.98676145,0.00038949604,0.00041644712],"about_ca_topic_score_codex":0.000022830684,"about_ca_topic_score_gemma":0.0000012541747,"teacher_disagreement_score":0.06372583,"about_ca_system_score_codex":0.00047623104,"about_ca_system_score_gemma":0.00084361434,"threshold_uncertainty_score":0.9998785},"labels":[],"label_agreement":null},{"id":"W2787181105","doi":"10.1142/s0219498820502060","title":"Algebraic construction of quasi-split algebraic tori","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University; University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Quotient; Permutation group; Algebraic number; Algebraic group; Algebraically closed field; Invariant (physics); Discrete mathematics; Permutation (music); Physics; Mathematical physics","score_opus":0.027932937435265353,"score_gpt":0.29809708616930153,"score_spread":0.27016414873403616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2787181105","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9692732,0.0058299825,0.018978374,0.0008728178,0.0023824053,0.0014969946,0.00007766915,0.000055922188,0.0010326515],"genre_scores_gemma":[0.9890729,0.0013989992,0.007999026,0.00006900017,0.0010951582,0.00006525424,0.000015701911,0.00007412015,0.0002097923],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967261,0.000113258146,0.0016996872,0.00045398032,0.0006943372,0.00031265957],"domain_scores_gemma":[0.99470776,0.00057589787,0.002799298,0.00075458956,0.0009319522,0.00023050544],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005472598,0.00046810735,0.001261633,0.0003604477,0.00013172455,0.00009028635,0.0007121178,0.00060510123,0.00014810702],"category_scores_gemma":[0.00023801759,0.00040987955,0.00046903497,0.00027879837,0.00015572779,0.00021187223,0.00042346865,0.0010515228,0.000009561781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005229978,0.00019089325,0.00014784215,0.00076521037,0.00038376468,0.0000015316045,0.00039460766,0.000019981655,0.0003319314,0.9924427,0.0008113109,0.00445789],"study_design_scores_gemma":[0.0007872524,0.0002399006,0.00037436088,0.0003333903,0.000497019,0.00015186254,0.00025889685,0.00015406503,0.0013036898,0.99276286,0.0027558145,0.0003808674],"about_ca_topic_score_codex":0.000009623014,"about_ca_topic_score_gemma":0.0000018034655,"teacher_disagreement_score":0.019799765,"about_ca_system_score_codex":0.00010914477,"about_ca_system_score_gemma":0.00047270118,"threshold_uncertainty_score":0.9998353},"labels":[],"label_agreement":null},{"id":"W2788097449","doi":"10.23638/lmcs-14(3:19)2018","title":"Free complete Wasserstein algebras","year":2018,"lang":"en","type":"article","venue":"Logical Methods in Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Computer science; Algebra over a field; Mathematics; Pure mathematics","score_opus":0.14069832698640133,"score_gpt":0.4210002686829048,"score_spread":0.28030194169650346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2788097449","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15340422,0.000016478562,0.84247494,0.00024690127,0.0020534226,0.00015813728,0.0000010004926,0.00009156873,0.0015533478],"genre_scores_gemma":[0.34047773,7.507268e-7,0.6587326,0.00039645124,0.00036843613,0.000005668564,9.225511e-8,0.0000069111675,0.000011359428],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99758226,0.00034390032,0.00038835828,0.0006487987,0.00049999595,0.00053669384],"domain_scores_gemma":[0.99759966,0.0010931179,0.000106385516,0.0008925966,0.00014498382,0.00016323717],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025476757,0.0001902651,0.00035069414,0.00014480163,0.00024074063,0.00013263951,0.0018324442,0.000103739774,0.00011884017],"category_scores_gemma":[0.0011043053,0.00014024106,0.00007330378,0.0010462517,0.0011223728,0.00019191175,0.00112882,0.00024721207,0.000012358005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009125929,0.00004363895,0.00013504877,0.000006890561,0.0000033469732,0.0000062938966,0.00025912837,0.000007937004,0.0012009939,0.960816,0.00015069517,0.03736085],"study_design_scores_gemma":[0.00033029704,0.00023866764,0.0018412096,0.000022212114,0.0000038711746,0.0000124673625,0.00000835098,0.026729425,0.0022917895,0.96803284,0.00029375678,0.00019511045],"about_ca_topic_score_codex":0.000016126114,"about_ca_topic_score_gemma":0.0000058279365,"teacher_disagreement_score":0.18707351,"about_ca_system_score_codex":0.00007872599,"about_ca_system_score_gemma":0.00006370453,"threshold_uncertainty_score":0.5718865},"labels":[],"label_agreement":null},{"id":"W2788457884","doi":"10.21468/scipostphys.5.4.041","title":"Fusion and monodromy in the Temperley-Lieb category","year":2018,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"European Research Council; Université de Montréal; Fonds de recherche du Québec – Nature et technologies; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Morphism; Functor; Category of sets; Extension (predicate logic); Concrete category; Twist; Category theory; Algebra over a field; Derived category; Functor category","score_opus":0.03570581053928234,"score_gpt":0.3002714017028313,"score_spread":0.26456559116354894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2788457884","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99503344,0.0000479403,0.00015386501,0.00022562568,0.00032263872,0.00018230737,0.0000012971205,0.000025201458,0.0040076976],"genre_scores_gemma":[0.99899054,0.000007697865,0.00019550859,0.00018016018,0.00052964455,0.000009533433,0.0000014477863,0.000014180303,0.0000712716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928296,0.000051671377,0.00013144927,0.00017137548,0.00018833907,0.00017421471],"domain_scores_gemma":[0.9994472,0.00012187948,0.00005094503,0.00030821012,0.000042098356,0.000029642517],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018204456,0.0001125197,0.00013031893,0.000017815197,0.00014725457,0.000047366164,0.00020460425,0.000054099255,0.000017869286],"category_scores_gemma":[0.000031027517,0.00007318313,0.000030608648,0.00016102793,0.00012605374,0.00009012179,0.0000898937,0.0001296918,0.000014794447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013714056,0.000047472113,0.00041763243,0.00001842456,0.000007707915,0.0000019095091,0.004441055,5.384612e-7,0.00041254616,0.99034566,0.0010124499,0.003280898],"study_design_scores_gemma":[0.00026242703,0.00007791989,0.0013678893,0.000015371197,0.00001228933,0.0000037834036,0.00036257514,0.00016664366,0.0008467608,0.99626535,0.0005166122,0.00010240134],"about_ca_topic_score_codex":0.000054533142,"about_ca_topic_score_gemma":0.000022176788,"teacher_disagreement_score":0.005919675,"about_ca_system_score_codex":0.000015761425,"about_ca_system_score_gemma":0.000025535423,"threshold_uncertainty_score":0.29843214},"labels":[],"label_agreement":null},{"id":"W2789940580","doi":"10.1016/j.aim.2018.01.019","title":"Polytopal realizations of finite type g-vector fans","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Israel Science Foundation; Agence Nationale de la Recherche","keywords":"Mathematics; Type (biology); Projection (relational algebra); Property (philosophy); Pure mathematics; Construct (python library); Combinatorics; Algorithm; Computer science","score_opus":0.02870930714973145,"score_gpt":0.33970615616213606,"score_spread":0.3109968490124046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2789940580","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75311095,0.0014172391,0.16552871,0.0002052255,0.003614787,0.0010627338,0.000040637664,0.00027991083,0.07473978],"genre_scores_gemma":[0.9490996,0.00013705647,0.050153766,0.000023380859,0.00016752777,0.000008933932,0.000002696638,0.000028819617,0.00037824147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989557,0.00002700519,0.0004502579,0.00014879905,0.0002229374,0.00019527263],"domain_scores_gemma":[0.9987011,0.00049562583,0.00021560374,0.00039101718,0.00015740546,0.00003927668],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015395391,0.00013667217,0.00029302298,0.000083776686,0.00005015182,0.00000826745,0.00022114713,0.000065645625,0.00020105338],"category_scores_gemma":[0.000903981,0.000117685435,0.000047168436,0.00040706393,0.00014607835,0.00014351896,0.000059811537,0.00009094445,0.000012789417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009971255,0.00009141629,0.00033993914,0.00014068266,0.000009317007,9.2372403e-7,0.0017695434,0.000042638676,0.00006174188,0.99696064,0.00007845089,0.0004947279],"study_design_scores_gemma":[0.0002457663,0.00008800282,0.00008931866,0.00011977089,0.000018818213,0.0000028769305,0.00027918408,0.001646278,0.0010796202,0.9947993,0.0015022698,0.00012880434],"about_ca_topic_score_codex":0.000007494461,"about_ca_topic_score_gemma":0.000057426092,"teacher_disagreement_score":0.19598861,"about_ca_system_score_codex":0.00002839048,"about_ca_system_score_gemma":0.00003946957,"threshold_uncertainty_score":0.47990727},"labels":[],"label_agreement":null},{"id":"W2790439570","doi":"10.1016/j.jalgebra.2017.12.029","title":"New families of irreducible weight modules over <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math>","year":2018,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Irreducibility; Tensor (intrinsic definition); Lie algebra; Torus; Tensor product; Scroll; Pure mathematics; Combinatorics; Discrete mathematics; Geometry","score_opus":0.017135029515590202,"score_gpt":0.24481481055672136,"score_spread":0.22767978104113115,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2790439570","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6782998,0.002259873,0.0013184245,0.0007005132,0.006532154,0.000047180183,0.00016701533,0.0001168134,0.31055823],"genre_scores_gemma":[0.9817462,0.00200602,0.00720898,0.0011931271,0.00604838,0.0001568508,0.00017212526,0.0007740654,0.00069425546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9895511,0.00042613476,0.0029292011,0.0014247948,0.0034058692,0.0022628861],"domain_scores_gemma":[0.98996925,0.0015639946,0.0041432055,0.002567779,0.00042062378,0.0013351624],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002097083,0.0010443181,0.00066514337,0.00072272844,0.0012189364,0.0013270517,0.0026838237,0.002495294,0.45897916],"category_scores_gemma":[0.001854519,0.0017214221,0.0025065914,0.0011690367,0.0014839976,0.001954067,0.0017879676,0.0020299566,0.0011419065],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014857722,0.00030211004,0.000010039484,0.0009398756,0.0020739478,0.0007145906,0.002805427,0.00034399336,0.002006514,0.6198017,0.36801904,0.0014969887],"study_design_scores_gemma":[0.003573539,0.003074634,0.00021719756,0.0022922016,0.0025202641,0.0023999913,0.0022590389,0.022067485,0.9442931,0.010133547,0.0054556434,0.0017133865],"about_ca_topic_score_codex":0.0013381146,"about_ca_topic_score_gemma":0.0005179097,"teacher_disagreement_score":0.94228655,"about_ca_system_score_codex":0.000031839387,"about_ca_system_score_gemma":0.002593765,"threshold_uncertainty_score":0.99970967},"labels":[],"label_agreement":null},{"id":"W2791088612","doi":"10.4153/cmb-2018-009-1","title":"The Universal Enveloping Algebra of the Schrödinger Algebra and its Prime Spectrum","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Counterexample; Prime (order theory); Conjecture; Universal enveloping algebra; Spectrum (functional analysis); Algebra over a field; Pure mathematics; Filtered algebra; Discrete mathematics; Combinatorics","score_opus":0.016155664550104466,"score_gpt":0.23318120223949754,"score_spread":0.21702553768939306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791088612","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.960584,0.00029475844,0.0004174244,0.021955732,0.00071350625,0.0007598953,0.000010662268,0.00005632286,0.01520774],"genre_scores_gemma":[0.9971992,0.000011218115,0.0004385036,0.000350657,0.00024083373,0.000008618573,3.459052e-7,0.000035468136,0.0017151556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984972,0.0000946502,0.00035953737,0.00024539747,0.0002990332,0.00050418905],"domain_scores_gemma":[0.99833333,0.0006185934,0.00015031076,0.0005054341,0.00010004156,0.0002922905],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00040236532,0.00020915859,0.00027868187,0.000056993707,0.00056824106,0.00007703741,0.00056214724,0.00014056356,0.0018525852],"category_scores_gemma":[0.0008032709,0.00012569407,0.000098938464,0.00018870532,0.00045108286,0.000031020343,0.00017016892,0.00023804505,0.00026400047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000065233075,0.000007780178,0.000017950853,0.000041942072,0.000041915373,0.0000023137015,0.0004227606,5.4991233e-8,0.000043638644,0.99596536,0.0032981448,0.00015159567],"study_design_scores_gemma":[0.0002470613,0.00004502951,0.00015288519,0.0001333842,0.000051481573,0.000024836489,0.00019877015,0.00015038726,0.0025443824,0.9766909,0.01957834,0.00018256866],"about_ca_topic_score_codex":0.00023481417,"about_ca_topic_score_gemma":0.00061604637,"teacher_disagreement_score":0.03661524,"about_ca_system_score_codex":0.00011514541,"about_ca_system_score_gemma":0.000273289,"threshold_uncertainty_score":0.99905986},"labels":[],"label_agreement":null},{"id":"W2791226615","doi":"10.1016/j.jalgebra.2018.01.019","title":"Generalized Verma modules over <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">sl</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> induced from <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"script\">U</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">h</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-free <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si28.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">sl</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>-modules","year":2018,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; Henan University; China Scholarship Council; China Postdoctoral Science Foundation; National Natural Science Foundation of China; Royal Swedish Academy of Sciences","keywords":"Scroll; Mathematics; Algorithm; Theology; Philosophy","score_opus":0.019534943586546505,"score_gpt":0.24301583750407346,"score_spread":0.22348089391752696,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791226615","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5807043,0.005523767,0.00218635,0.0021060884,0.014367195,0.0002541376,0.0029160022,0.0013911993,0.39055097],"genre_scores_gemma":[0.9394419,0.0076498184,0.011086067,0.0071295854,0.014275411,0.00618657,0.0065599047,0.0068352893,0.0008354337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9475623,0.0034551036,0.011667458,0.009506763,0.014674584,0.013133786],"domain_scores_gemma":[0.9551467,0.008408816,0.015321287,0.011940405,0.0016061323,0.007576684],"candidate_categories":["metaresearch","metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.011043986,0.0060865916,0.0025028065,0.004109134,0.009167005,0.01122515,0.014780877,0.0158998,0.70778763],"category_scores_gemma":[0.010727108,0.0122028515,0.012405818,0.0068729324,0.009129602,0.009579027,0.013083209,0.0114786625,0.010434427],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.008566836,0.0016095454,0.000026542639,0.0037994294,0.009751014,0.0077671483,0.0049901684,0.0037423405,0.006957607,0.5093588,0.44051838,0.0029121507],"study_design_scores_gemma":[0.012318681,0.008284085,0.00020953882,0.007034395,0.011400522,0.012615054,0.0071844533,0.057325378,0.8578209,0.0053640883,0.010416439,0.010026417],"about_ca_topic_score_codex":0.012463529,"about_ca_topic_score_gemma":0.008058754,"teacher_disagreement_score":0.85086334,"about_ca_system_score_codex":0.00018220015,"about_ca_system_score_gemma":0.010817118,"threshold_uncertainty_score":0.997606},"labels":[],"label_agreement":null},{"id":"W2792934428","doi":"10.4171/jncg/11-1-3","title":"Hopf algebras and universal Chern classes","year":2017,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Hopf algebra; Pure mathematics; Algebra over a field","score_opus":0.044692399276347536,"score_gpt":0.342301087074737,"score_spread":0.29760868779838945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2792934428","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9938892,0.00031571114,0.001370764,0.0005702708,0.00065181474,0.00006129058,0.0000037774964,0.000009847087,0.0031273281],"genre_scores_gemma":[0.9953675,0.00008695519,0.0039375536,0.00005224564,0.0003302536,4.937851e-7,2.57878e-7,0.00002073428,0.00020398686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891746,0.000085521955,0.00035943656,0.000111350804,0.00033756826,0.00018866648],"domain_scores_gemma":[0.9975823,0.0005952519,0.001047971,0.00034431857,0.00028973134,0.00014042358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004760999,0.00016453039,0.00042807648,0.00017017261,0.00042311393,0.00016039374,0.00054210983,0.00010646098,0.00007895028],"category_scores_gemma":[0.0010618614,0.00012791032,0.00013353811,0.00008099472,0.00022363153,0.00049010175,0.0002235533,0.00043211962,0.0000027597687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057595805,0.00039299202,0.042358633,0.0001970381,0.0014322676,0.0004969764,0.0070398203,0.0000128932725,0.0007295085,0.9116827,0.006440529,0.028640687],"study_design_scores_gemma":[0.0016979729,0.0003815292,0.029815415,0.00009666051,0.000114435345,0.00016942878,0.0018329683,0.00002913149,0.0005674079,0.9641959,0.0009145224,0.00018464657],"about_ca_topic_score_codex":0.0000196423,"about_ca_topic_score_gemma":0.000005732805,"teacher_disagreement_score":0.052513186,"about_ca_system_score_codex":0.00007364518,"about_ca_system_score_gemma":0.00009338012,"threshold_uncertainty_score":0.5216031},"labels":[],"label_agreement":null},{"id":"W2793733130","doi":"10.1090/conm/728/14659","title":"Bialgebra coverings and transfer of structure","year":2019,"lang":"en","type":"preprint","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bialgebra; Coalgebra; Hopf algebra; Morphism; Quotient; Mathematics; Pure mathematics; Transfer (computing); Algebra over a field; Computer science","score_opus":0.038220775439766076,"score_gpt":0.2870624578152009,"score_spread":0.24884168237543483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2793733130","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92926806,0.00068212295,0.061899316,0.00032949762,0.00055336574,0.0024426389,0.00037685927,0.0003030595,0.004145075],"genre_scores_gemma":[0.94094723,0.00011322104,0.0579404,0.00018064833,0.0001924303,0.000066305,0.00003804707,0.00023514064,0.00028658696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9949638,0.00014980626,0.0020218357,0.0010534873,0.0011659773,0.000645055],"domain_scores_gemma":[0.9945439,0.0018634951,0.0012152673,0.0017653578,0.00027791626,0.00033403825],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00067609356,0.0011563872,0.0033694794,0.00011259963,0.00012750868,0.00015758253,0.0010159032,0.00078324496,0.00027446845],"category_scores_gemma":[0.0004857442,0.0009717556,0.0011310554,0.0003465308,0.0013196014,0.00016500814,0.0012267759,0.0014219091,0.000009938304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005464886,0.00050271687,0.0001761261,0.016642423,0.001292911,0.0000059155473,0.012671471,0.000025935355,0.0006157617,0.96401566,0.003683465,0.00031297785],"study_design_scores_gemma":[0.0008651981,0.00020713231,0.000036514302,0.0011668789,0.0003775168,0.0000204641,0.0020293738,0.004404343,0.0009325535,0.98881793,0.0001693771,0.0009726936],"about_ca_topic_score_codex":0.00004401173,"about_ca_topic_score_gemma":0.0000013263718,"teacher_disagreement_score":0.024802307,"about_ca_system_score_codex":0.00012228421,"about_ca_system_score_gemma":0.00044804858,"threshold_uncertainty_score":0.9992733},"labels":[],"label_agreement":null},{"id":"W2794011206","doi":"10.1007/jhep06(2018)039","title":"Large N limit of irreducible tensor models: O(N) rank-3 tensors with mixed permutation symmetry","year":2018,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Symmetric tensor; Tensor (intrinsic definition); Irreducibility; Rank (graph theory); Antisymmetric tensor; Irreducible representation; Limit (mathematics); Tensor density; Symmetry (geometry)","score_opus":0.024951881318144145,"score_gpt":0.2549288922014383,"score_spread":0.22997701088329414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794011206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8687776,0.00009505399,0.12977107,0.000088501634,0.0005967708,0.000050321643,0.000007243022,0.00001719662,0.00059628184],"genre_scores_gemma":[0.9919952,0.00003003104,0.006512553,0.000062754356,0.0011531786,0.0000022370953,0.0000024786552,0.000047412523,0.0001941599],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983619,0.00007084368,0.0005533494,0.00016654607,0.0005945029,0.00025288365],"domain_scores_gemma":[0.9976188,0.00016418454,0.00085615716,0.00031010772,0.0009518696,0.00009891194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019269917,0.00021033321,0.0005416317,0.00010454371,0.00010485892,0.000025758041,0.00026489943,0.0001046011,0.000022384043],"category_scores_gemma":[0.00006217405,0.00014730298,0.00017891305,0.00030765237,0.000098713106,0.00033749297,0.000042829317,0.0001763318,0.0000011860279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022476133,0.00023727056,0.00002530384,0.000035824356,0.00023911039,0.000007322415,0.0006161326,0.00108583,0.00018628448,0.9958346,0.00092303945,0.0005845473],"study_design_scores_gemma":[0.0016307338,0.00071985024,0.00008858372,0.00011307721,0.00020427375,0.000042179607,0.0003348646,0.0017314957,0.015074651,0.9797225,0.00015892973,0.00017886334],"about_ca_topic_score_codex":0.000027941063,"about_ca_topic_score_gemma":0.0000055464166,"teacher_disagreement_score":0.123258516,"about_ca_system_score_codex":0.000051309136,"about_ca_system_score_gemma":0.00012362757,"threshold_uncertainty_score":0.6006841},"labels":[],"label_agreement":null},{"id":"W2794404060","doi":"10.1017/fms.2020.28","title":"TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE","year":2020,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Object (grammar); Commutative property; Dimension (graph theory); Singularity; Triangulated category; Prime (order theory); Algebraic number; Derived category","score_opus":0.05358660180845088,"score_gpt":0.28306653314607455,"score_spread":0.22947993133762368,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794404060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9130574,0.000105913336,0.08301563,0.0012566949,0.00019344265,0.0009659803,0.000011798377,0.00009716104,0.0012959733],"genre_scores_gemma":[0.94424134,0.0000026419443,0.05542772,0.00011427694,0.000075322525,0.000030430312,0.000002731566,0.000047576665,0.000057982405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985508,0.000034824487,0.00061832444,0.00022294684,0.00027225487,0.0003008855],"domain_scores_gemma":[0.9982112,0.0010358233,0.0003218473,0.00027766792,0.00007465131,0.0000788136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004774628,0.0001834117,0.0005116105,0.000058103597,0.000051219886,0.000015023316,0.00025815112,0.00011905864,0.000050159008],"category_scores_gemma":[0.001052963,0.00016407922,0.00014240829,0.00014982033,0.000044844506,0.00007149829,0.00014276161,0.00013126868,0.000004103745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054448607,0.00009642161,0.000073239076,0.0007591834,0.00003338125,9.665565e-7,0.0037187745,0.000023136841,0.0022529634,0.99217623,0.00026760728,0.00054366456],"study_design_scores_gemma":[0.00094236474,0.00018122302,0.000017879413,0.00023739378,0.00004111883,0.0000013467329,0.0013343891,0.004786292,0.014946536,0.9772706,0.000069106914,0.00017172529],"about_ca_topic_score_codex":0.0000050316057,"about_ca_topic_score_gemma":0.000004341734,"teacher_disagreement_score":0.031183911,"about_ca_system_score_codex":0.000026299735,"about_ca_system_score_gemma":0.000026083184,"threshold_uncertainty_score":0.66909564},"labels":[],"label_agreement":null},{"id":"W2794645221","doi":"10.1007/s00220-019-03518-0","title":"A Borcherds–Kac–Moody Superalgebra with Conway Symmetry","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Institut Périmètre de physique théorique; Ministero dell’Istruzione, dell’Università e della Ricerca; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Aspen Center for Physics; Office of Science; Canada Research Chairs; California Institute of Technology; High Energy Physics; U.S. Department of Energy; National Science Foundation","keywords":"Superstring theory; Superalgebra; Cohomology; Automorphism; Partition function (quantum field theory); Genus; Lie superalgebra; Type (biology); Superconformal algebra; Conformal field theory","score_opus":0.0535059654725556,"score_gpt":0.33066195398782,"score_spread":0.2771559885152644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794645221","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90655124,0.00020734667,0.013538006,0.0011819026,0.00015273724,0.001642151,0.000009422905,0.00025413733,0.07646303],"genre_scores_gemma":[0.9626414,0.000022223689,0.03659029,0.00012739694,0.000051061266,0.00012620915,0.000011535301,0.000060828028,0.0003690285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998352,0.00016573076,0.00048599267,0.0002854225,0.00036643562,0.00034443956],"domain_scores_gemma":[0.99516356,0.0014625086,0.00013859388,0.0030251371,0.00011924064,0.00009094201],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003327013,0.00026658355,0.0005223909,0.00006244616,0.0001135695,0.00006886923,0.0013141445,0.00013634423,0.0002692894],"category_scores_gemma":[0.00019876819,0.0002125902,0.0001053019,0.00052157685,0.00023658018,0.00020943544,0.00046533425,0.00057492394,0.00021318531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013757556,0.00042311457,0.0007865268,0.00013311328,0.00004432271,7.9249446e-7,0.00078775076,0.000008182802,0.000054734686,0.99714255,0.000108135355,0.0004970077],"study_design_scores_gemma":[0.00081475964,0.00007553152,0.00016484507,0.00020276206,0.000037714042,0.0000062199447,0.00037816993,0.0030098814,0.00019062811,0.99456334,0.00026929934,0.00028683408],"about_ca_topic_score_codex":0.00000756737,"about_ca_topic_score_gemma":0.000005672527,"teacher_disagreement_score":0.076094,"about_ca_system_score_codex":0.000099733625,"about_ca_system_score_gemma":0.00008403059,"threshold_uncertainty_score":0.86691767},"labels":[],"label_agreement":null},{"id":"W2794931012","doi":"10.4171/prims/55-1-4","title":"On the Bass Stable Rank of Stein Algebras","year":2019,"lang":"en","type":"article","venue":"Publications of the Research Institute for Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Bass (fish); Rank (graph theory); Combinatorics; Fishery; Biology","score_opus":0.1923961714700007,"score_gpt":0.40950056185218214,"score_spread":0.21710439038218143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794931012","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9415267,0.00003504018,0.0034343286,0.018514771,0.00032303584,0.0025326011,0.000036678666,0.000028669328,0.033568162],"genre_scores_gemma":[0.9949584,0.0000033994968,0.003483886,0.000026987844,0.000029744344,0.00018323003,9.1652777e-7,0.000008342494,0.0013051205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99750656,0.00016040937,0.00041230963,0.00023398157,0.0013171416,0.00036961626],"domain_scores_gemma":[0.99357325,0.004741995,0.00019514764,0.00093443366,0.00048986706,0.000065325454],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.004901143,0.000100590776,0.00023953244,0.00014137545,0.0005170631,0.00009296564,0.0021058363,0.00006034621,0.0003277686],"category_scores_gemma":[0.008982355,0.000046414083,0.00015357177,0.0012370562,0.0013866927,0.0002453076,0.00031303894,0.00019957886,0.000018284602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009065777,0.00013463304,0.00004261523,0.00013370374,0.000019220826,5.2297584e-9,0.00014678744,0.000037544036,0.0002175837,0.9967578,0.00240977,0.00009124112],"study_design_scores_gemma":[0.0001711297,0.00011189052,0.000077451936,0.000103325336,0.000008857975,6.8132056e-7,0.0002262546,0.0015725497,0.0042280722,0.99203736,0.0014055461,0.000056911224],"about_ca_topic_score_codex":0.0000339487,"about_ca_topic_score_gemma":0.000010063609,"teacher_disagreement_score":0.05343166,"about_ca_system_score_codex":0.000043615863,"about_ca_system_score_gemma":0.0003384838,"threshold_uncertainty_score":0.9993654},"labels":[],"label_agreement":null},{"id":"W2796286431","doi":"10.3842/sigma.2018.098","title":"Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras","year":2018,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hopf algebra; Mathematics; Categorical variable; Pure mathematics; Quasitriangular Hopf algebra; Algebra over a field; Quantum group; Interpretation (philosophy); Computer science; Cellular algebra; Algebra representation; Statistics","score_opus":0.04454592776248059,"score_gpt":0.39294636181292597,"score_spread":0.3484004340504454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2796286431","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3896769,0.00027347298,0.60791487,0.00052969635,0.00019475287,0.0007861238,0.000045734236,0.000087177454,0.0004912815],"genre_scores_gemma":[0.6672602,0.000053197946,0.33141944,0.00022463774,0.00051079923,0.0003707048,0.000009447454,0.000026472413,0.0001250661],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981915,0.00017383893,0.00047609853,0.0006625772,0.00014962337,0.0003463645],"domain_scores_gemma":[0.9966673,0.0020721266,0.00015245093,0.00066559936,0.00025800333,0.00018446703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014555542,0.00028492592,0.0005208929,0.00017255139,0.00058398495,0.00010299932,0.00023878904,0.0002420166,0.000083533945],"category_scores_gemma":[0.0009998772,0.00023201725,0.00014324016,0.00053111266,0.0005174884,0.00011874925,0.00014457837,0.0002510423,0.000003846622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001585792,0.00012273031,0.0011220281,0.00014926105,0.000054187713,4.9362775e-8,0.00012406171,5.2558242e-8,0.00032628328,0.8519568,0.00020130633,0.14592738],"study_design_scores_gemma":[0.0003506038,0.0002010548,0.0017157218,0.000019636947,0.00008981199,0.000008514028,0.0003325846,0.00035514156,0.0033187096,0.975989,0.017344106,0.00027510923],"about_ca_topic_score_codex":0.000054875334,"about_ca_topic_score_gemma":0.00001022443,"teacher_disagreement_score":0.27758333,"about_ca_system_score_codex":0.000027774442,"about_ca_system_score_gemma":0.000024690418,"threshold_uncertainty_score":0.94613886},"labels":[],"label_agreement":null},{"id":"W2797238179","doi":"10.5802/jep.103","title":"Vertex representations for Yangians of Kac-Moody algebras","year":2019,"lang":"en","type":"article","venue":"Journal de l’École polytechnique — Mathématiques","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Social Fund; Natural Sciences and Engineering Research Council of Canada","keywords":"Yangian; Vertex (graph theory); Affine transformation; Property (philosophy); Algebra over a field","score_opus":0.018660997457103333,"score_gpt":0.3156124953553511,"score_spread":0.29695149789824776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2797238179","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82736284,0.00015290342,0.16485658,0.00082222477,0.00064981973,0.00148344,0.000031408985,0.00026655692,0.0043742144],"genre_scores_gemma":[0.90022373,0.00007193532,0.0981926,0.00031869236,0.00020579714,0.00012021968,0.0000042483316,0.00007455833,0.0007882377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99805677,0.00013652194,0.00079441536,0.00023550796,0.00037077043,0.00040601322],"domain_scores_gemma":[0.9977722,0.0005938549,0.0006312795,0.0005310323,0.00031988588,0.00015173093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073917746,0.0002511914,0.00053551036,0.00022131126,0.00013467761,0.0000956194,0.00047924172,0.00027154124,0.0002253976],"category_scores_gemma":[0.00042126287,0.00022250316,0.00037164902,0.00019801178,0.000050321138,0.00027912334,0.00008462647,0.00039039308,0.000007109653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078439996,0.00013276932,0.0015902993,0.00025683586,0.000116191484,0.000005246981,0.0009219492,0.000023557657,0.0097965775,0.98043567,0.0060203904,0.0006220827],"study_design_scores_gemma":[0.0005803739,0.00031828484,0.0014004598,0.00022286097,0.00007863902,0.00013289393,0.00022144653,0.0010552515,0.037859395,0.9574037,0.0004887952,0.00023789176],"about_ca_topic_score_codex":0.000035519894,"about_ca_topic_score_gemma":0.0000064982924,"teacher_disagreement_score":0.07286085,"about_ca_system_score_codex":0.00012913875,"about_ca_system_score_gemma":0.00020599629,"threshold_uncertainty_score":0.9073416},"labels":[],"label_agreement":null},{"id":"W2798955764","doi":"10.1090/tran/8575","title":"Reconstruction and local extensions for twisted group doubles, and permutation orbifolds","year":2021,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council","keywords":"Permutation (music); Group (periodic table); Permutation group; Mathematics; Combinatorics; Physics","score_opus":0.02808959320230738,"score_gpt":0.29017458474523106,"score_spread":0.2620849915429237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2798955764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51401156,0.00009940941,0.4847272,0.0003348092,0.00020908867,0.0005230677,0.000030629883,0.000040185674,0.000024048868],"genre_scores_gemma":[0.8994401,0.00016504334,0.10007831,0.000055902572,0.000046865276,0.0001196379,0.000006525019,0.00003916589,0.00004847028],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985013,0.00009183732,0.0005237136,0.00041062757,0.00026297505,0.00020952268],"domain_scores_gemma":[0.9980387,0.00071898196,0.00047166878,0.00049894396,0.00017790134,0.00009380721],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025257625,0.00028098465,0.00073264283,0.000026613965,0.00027563408,0.00006386896,0.00018156233,0.00021293486,0.00003331155],"category_scores_gemma":[0.00009453676,0.00021180436,0.0005365093,0.00017547056,0.0010213774,0.00006691039,0.000096053736,0.0004380815,1.3537152e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037851304,0.0012795513,0.00013197112,0.011973492,0.0034496963,0.0000016787695,0.018579802,0.0010054518,0.0042456505,0.82921946,0.000565839,0.1291689],"study_design_scores_gemma":[0.0005273242,0.00008883584,0.00034118118,0.0003797546,0.00077743863,0.00007159944,0.005408413,0.018058574,0.00036406599,0.9737026,0.000010921815,0.00026925694],"about_ca_topic_score_codex":0.000098780634,"about_ca_topic_score_gemma":0.000015263184,"teacher_disagreement_score":0.38542852,"about_ca_system_score_codex":0.00007832735,"about_ca_system_score_gemma":0.0000858199,"threshold_uncertainty_score":0.8637131},"labels":[],"label_agreement":null},{"id":"W2799016545","doi":"10.48550/arxiv.1804.07423","title":"The first cohomology, derivations and the reductivity of a (meromorphic open-string) vertex algebra","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Vertex operator algebra; Mathematics; Subalgebra; Vertex (graph theory); Bounded function; Cohomology; Combinatorics; Pure mathematics; Discrete mathematics; Algebra over a field; Graph; Algebra representation; Jordan algebra","score_opus":0.09660689118246085,"score_gpt":0.22745918504567517,"score_spread":0.13085229386321431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2799016545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9932539,0.00012391647,0.0027723946,0.0007277185,0.00091081584,0.0009107771,0.000018972627,0.00004073612,0.0012407535],"genre_scores_gemma":[0.99913394,0.00023752569,0.0000974694,0.00004064481,0.0000831097,0.0000057909065,0.00000391444,0.000023471499,0.00037415753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861395,0.00023758212,0.00027584654,0.0005331201,0.000091913644,0.00024760608],"domain_scores_gemma":[0.9967886,0.0012539927,0.00050776993,0.0012046552,0.00017966414,0.000065294],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060835475,0.00026755492,0.0004910559,0.000054999095,0.0007109045,0.000104992374,0.0015229307,0.00027850934,0.00003537964],"category_scores_gemma":[0.00041119725,0.00018351761,0.00015713407,0.00024165731,0.0016569863,0.00010325966,0.0029346945,0.00050168147,0.0000032244802],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021528016,0.00004452158,0.00059408275,0.00005238205,0.00026481404,0.0000063320144,0.00030343045,0.00013331139,0.0000017478536,0.99731576,0.0010303732,0.000037976733],"study_design_scores_gemma":[0.001377893,0.00004688055,0.0009883691,0.00007751587,0.00027248738,0.000009121219,0.00016319037,0.002455879,0.000056941626,0.9939926,0.00036163535,0.00019744916],"about_ca_topic_score_codex":0.00051598874,"about_ca_topic_score_gemma":0.00022359117,"teacher_disagreement_score":0.0058800005,"about_ca_system_score_codex":0.000074735086,"about_ca_system_score_gemma":0.00017056051,"threshold_uncertainty_score":0.7483631},"labels":[],"label_agreement":null},{"id":"W2799017499","doi":"10.1007/s00220-019-03288-9","title":"Vanishing of Categorical Obstructions for Permutation Orbifolds","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Categorical variable; Orbifold; Conjecture; Permutation (music); Vertex operator algebra; Conformal field theory; Operator algebra; Vertex (graph theory); Extension (predicate logic); Fusion rules","score_opus":0.09373820383400677,"score_gpt":0.3761496278475149,"score_spread":0.2824114240135081,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2799017499","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7101131,0.00011376165,0.27508488,0.0005594761,0.0004100477,0.0018124696,0.000018088469,0.00012095538,0.011767204],"genre_scores_gemma":[0.9215408,0.000009918641,0.078154325,0.000012328772,0.000039520266,0.00010715917,0.000014740051,0.000026665595,0.00009454265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888873,0.000069399684,0.00051989284,0.00016043407,0.00018886212,0.00017268307],"domain_scores_gemma":[0.99642414,0.00188694,0.00019150182,0.0013061828,0.00015422858,0.000036992875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025373852,0.00012945768,0.00034995616,0.000048034253,0.000085808926,0.000022634867,0.0006634822,0.00009939822,0.000041313928],"category_scores_gemma":[0.00043881964,0.0001223011,0.0001292728,0.00028581676,0.00010315237,0.00015406056,0.0001892402,0.00020209249,0.000014703164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000066062576,0.00022114435,0.00014735485,0.00017774671,0.00001891467,4.2442124e-8,0.0010704035,0.00006575491,0.00021398415,0.99726427,0.000051791932,0.00076200714],"study_design_scores_gemma":[0.00043034935,0.000036052006,0.00006967159,0.000053629843,0.000034283257,0.0000019174831,0.0005884719,0.016410496,0.00029784118,0.98187256,0.00008159117,0.00012315458],"about_ca_topic_score_codex":0.0000048822567,"about_ca_topic_score_gemma":0.0000024331505,"teacher_disagreement_score":0.21142769,"about_ca_system_score_codex":0.00007642379,"about_ca_system_score_gemma":0.000048405742,"threshold_uncertainty_score":0.4987294},"labels":[],"label_agreement":null},{"id":"W2801124608","doi":"10.33044/revuma.1110","title":"Stability conditions and maximal green sequences in abelian categories","year":2022,"lang":"es","type":"article","venue":"Revista de la Unión Matemática Argentina","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Engineering and Physical Sciences Research Council","keywords":"Abelian group; Mathematics; Stability (learning theory); Pure mathematics; Computer science","score_opus":0.017766644155343025,"score_gpt":0.2836672679255844,"score_spread":0.2659006237702414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2801124608","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99439985,0.0021160839,0.00003484842,0.00069288927,0.00030767755,0.00060410297,0.00028427868,0.00007381078,0.0014864664],"genre_scores_gemma":[0.99869144,0.0003819834,0.0002977531,0.00007630795,0.00008049756,0.000119519544,0.00004331167,0.000051489988,0.00025769],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99655545,0.0011193265,0.00072332285,0.00054330454,0.000443066,0.0006155075],"domain_scores_gemma":[0.99830943,0.00057819264,0.00029112393,0.0005533269,0.00007486705,0.0001930291],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013534379,0.0003653875,0.00061853556,0.00015923913,0.0006027869,0.0004209229,0.00042262473,0.00015020081,0.001898967],"category_scores_gemma":[0.00024338448,0.00037532687,0.00012979432,0.0005158186,0.00049582595,0.00015899021,0.0005428639,0.0006142197,0.00000977415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004553788,0.00027991383,0.02686179,0.0012435251,0.000068886606,0.0001235039,0.0013565588,0.000007116849,0.00045109657,0.96922344,0.0002482267,0.0000904276],"study_design_scores_gemma":[0.0008368585,0.00020243194,0.018931665,0.00017629212,0.0002160477,0.00020072232,0.002534007,0.0004892092,0.0001911303,0.95118684,0.02444086,0.00059395167],"about_ca_topic_score_codex":0.00042762904,"about_ca_topic_score_gemma":0.000012671003,"teacher_disagreement_score":0.024192633,"about_ca_system_score_codex":0.00031707305,"about_ca_system_score_gemma":0.00027628418,"threshold_uncertainty_score":0.9998699},"labels":[],"label_agreement":null},{"id":"W2803704614","doi":"10.1090/proc/14066","title":"Representation theory of 𝐿_{𝑘}(𝔬𝔰𝔭(1|2)) from vertex tensor categories and Jacobi forms","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Department of Education and Training; Pacific Institute for the Mathematical Sciences","keywords":"Vertex operator algebra; Superalgebra; Vertex (graph theory); Mathematics; Operator algebra; Subalgebra; Central charge; Combinatorics; Operator (biology); Representation theory; Pure mathematics; Current algebra; Algebra over a field; Geometry","score_opus":0.021732333573143144,"score_gpt":0.2825433425946544,"score_spread":0.2608110090215113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2803704614","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9962369,0.000024872526,0.0007059308,0.00025835808,0.0000717737,0.00026920892,0.000007877694,0.00003906671,0.0023860203],"genre_scores_gemma":[0.98513013,0.000017828772,0.0144940745,0.00010495711,0.00009379562,0.00001606736,4.5523274e-7,0.000026403817,0.00011629596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986915,0.000014673716,0.00044024305,0.00024501013,0.00039532746,0.0002132654],"domain_scores_gemma":[0.9981379,0.00061579974,0.00067019195,0.00021829939,0.0002939786,0.00006386196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003413126,0.00018066581,0.0005537554,0.000015741767,0.0001301972,0.000029041636,0.00037116502,0.00006820174,0.000055609053],"category_scores_gemma":[0.0008736596,0.000109200046,0.00024903426,0.00031089346,0.0015680706,0.00013395771,0.00027211223,0.00013705852,0.0000018285648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007125578,0.0000725034,0.0015422511,0.00018220242,0.00017037232,2.6792977e-8,0.00668974,3.9503504e-8,0.006890161,0.9825071,0.0010865981,0.00078774133],"study_design_scores_gemma":[0.0002581725,0.00012536379,0.002902722,0.00007565275,0.00013851387,0.0000027294689,0.00719561,0.0002294661,0.026381472,0.9625536,0.000013236875,0.00012344516],"about_ca_topic_score_codex":0.00004166128,"about_ca_topic_score_gemma":4.5929968e-7,"teacher_disagreement_score":0.019953495,"about_ca_system_score_codex":0.000027274646,"about_ca_system_score_gemma":0.000020539148,"threshold_uncertainty_score":0.5777621},"labels":[],"label_agreement":null},{"id":"W2807159893","doi":"10.1007/jhep12(2018)063","title":"Adding flavour to the S-matrix bootstrap","year":2018,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Fundação de Amparo à Pesquisa do Estado de São Paulo; Government of Canada; CERN; Institut Périmètre de physique théorique; Simons Foundation","keywords":"Lorentz covariance; Integrable system; Quartic function; Quantum field theory; Scattering amplitude; Lorentz transformation; Scattering; Invariant (physics); Global symmetry; Coupling (piping)","score_opus":0.028934627477924937,"score_gpt":0.2996968193120383,"score_spread":0.2707621918341134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2807159893","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7428428,0.00017133009,0.24641998,0.0018812063,0.0062423716,0.00010234992,0.000005733711,0.000043677737,0.0022905655],"genre_scores_gemma":[0.9898151,0.000010380262,0.0030483503,0.00030273042,0.0064369175,0.0000016671588,3.0118522e-7,0.000026030651,0.00035850785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888,0.000049588256,0.00035744527,0.00009839188,0.00040791402,0.0002066413],"domain_scores_gemma":[0.9988077,0.00017177401,0.00034648651,0.00027313305,0.00029790655,0.00010299872],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018827377,0.00013966784,0.00026483287,0.000038621798,0.00015737773,0.000055121116,0.0004293738,0.000055317407,0.000043002135],"category_scores_gemma":[0.00008015511,0.000084800246,0.00016296133,0.00019903245,0.00004241231,0.000118437565,0.000075388634,0.00016803428,0.000008690454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035784808,0.000029058534,0.0000040100645,0.0000037549992,0.00007513227,0.00000454734,0.00032655144,0.00011857383,0.00012194043,0.98288465,0.013947213,0.0024487888],"study_design_scores_gemma":[0.0002865096,0.00024678736,0.000039976778,0.000037680144,0.000056027173,0.000028252649,0.000062235085,0.000039983057,0.005754039,0.97977173,0.013568671,0.00010810833],"about_ca_topic_score_codex":0.000025030524,"about_ca_topic_score_gemma":0.000008580274,"teacher_disagreement_score":0.24697234,"about_ca_system_score_codex":0.000044766286,"about_ca_system_score_gemma":0.00006811702,"threshold_uncertainty_score":0.34580535},"labels":[],"label_agreement":null},{"id":"W2807956907","doi":"","title":"Screening operators and Parabolic inductions for Affine W-algebras","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Lie algebra; Bilinear form; Mathematics; Pure mathematics; Type (biology); Nilpotent; Vertex (graph theory); Affine transformation; Invariant (physics); Physics; Combinatorics; Mathematical physics","score_opus":0.13397443604486056,"score_gpt":0.24105541377690903,"score_spread":0.10708097773204847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2807956907","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94117725,0.00006562332,0.056422688,0.000056276924,0.0010256878,0.0005999043,0.0000368283,0.00014548418,0.00047027695],"genre_scores_gemma":[0.99539214,0.00006495687,0.0027670146,0.000040905878,0.00062740804,0.0000054694806,0.000017718237,0.000050961546,0.0010334351],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985825,0.000059520895,0.00021645616,0.00075739966,0.000067827175,0.00031631152],"domain_scores_gemma":[0.998661,0.00018165508,0.00020468162,0.0006130728,0.00018002934,0.00015956127],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016874762,0.0003399519,0.0004367438,0.00016858158,0.00032411804,0.00008099621,0.0004078374,0.0004289791,0.00008601428],"category_scores_gemma":[0.00013941735,0.00036346682,0.00017723655,0.00021593751,0.00017467303,0.00012876013,0.00067565497,0.00039155193,0.000004370747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000656883,0.000038797123,0.0005417917,0.00011069724,0.00019312312,0.00000766261,0.00020978038,0.00096454454,0.00000945735,0.9966108,0.0010605074,0.00018711312],"study_design_scores_gemma":[0.0008466755,0.00007232528,0.00023703545,0.0000914217,0.00027566616,0.0000046164646,0.00017132549,0.006492779,0.00012741295,0.9904164,0.00084084726,0.0004234839],"about_ca_topic_score_codex":0.00007108664,"about_ca_topic_score_gemma":0.00002917455,"teacher_disagreement_score":0.0542149,"about_ca_system_score_codex":0.00007042526,"about_ca_system_score_gemma":0.00010303381,"threshold_uncertainty_score":0.99988174},"labels":[],"label_agreement":null},{"id":"W2808550443","doi":"10.1007/s00220-019-03597-z","title":"Classification of Quantum Groups via Galois Cohomology","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Galois cohomology; Group cohomology; Galois group; Quantum cohomology; Cohomology; Differential Galois theory; Algebra over a field; Embedding problem; Fundamental theorem of Galois theory","score_opus":0.07285322133939535,"score_gpt":0.3443307253813654,"score_spread":0.27147750404197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2808550443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8888995,0.000107336266,0.09343839,0.0004677274,0.00021182561,0.00079720217,0.000005100258,0.000085629115,0.015987288],"genre_scores_gemma":[0.9866575,0.00002328755,0.013108961,0.000026128817,0.00002726935,0.000057444475,0.000012267331,0.000028212615,0.000058906116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985811,0.0001785911,0.0006266763,0.00019081192,0.00022758362,0.00019524334],"domain_scores_gemma":[0.9957305,0.0014449689,0.00028049096,0.0023797457,0.00012279689,0.000041503947],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003602933,0.00015485639,0.00045246197,0.00006036222,0.000053359767,0.0000120912455,0.0010248641,0.00013479206,0.00011079038],"category_scores_gemma":[0.00024355989,0.0001439121,0.0001079912,0.00033695836,0.00023743382,0.000109149296,0.00032966258,0.00031150374,0.000103319144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007969734,0.00042078446,0.0008368234,0.00013766527,0.000020706346,1.1576085e-7,0.0005922421,0.000008054341,0.0007583191,0.9965936,0.000053076652,0.0005706223],"study_design_scores_gemma":[0.00035959028,0.00004061002,0.0011437221,0.00007528921,0.000024164538,0.0000027010178,0.00018684726,0.034705248,0.00019228441,0.96309125,0.00004243871,0.00013585162],"about_ca_topic_score_codex":0.000008004312,"about_ca_topic_score_gemma":0.0000027291,"teacher_disagreement_score":0.09775802,"about_ca_system_score_codex":0.00006884146,"about_ca_system_score_gemma":0.000038720387,"threshold_uncertainty_score":0.58685654},"labels":[],"label_agreement":null},{"id":"W2808806530","doi":"10.1093/imrn/rny231","title":"Galois Closures of Non-commutative Rings and an Application to Hermitian Representations","year":2018,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Commutative ring; Commutative property; Invariant (physics); Hermitian matrix; Pure mathematics; Category of rings; Commutative algebra; Rank (graph theory); Noncommutative ring; Algebra over a field; Ring (chemistry); Base (topology); Base change; Local ring; Polynomial ring; Combinatorics; Principal ideal ring; Mathematical analysis","score_opus":0.11176376762401828,"score_gpt":0.48798468755195396,"score_spread":0.37622091992793566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2808806530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96822727,0.00003888272,0.018818969,0.0008507162,0.00056742824,0.0015527091,0.00012761421,0.000064989144,0.009751417],"genre_scores_gemma":[0.9413123,0.000024781919,0.057352852,0.00002552029,0.0005380549,0.00035395133,0.000048520873,0.00006352689,0.00028048776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99629045,0.00021294496,0.00082794187,0.0006673385,0.0016554433,0.00034587874],"domain_scores_gemma":[0.99453574,0.0017632814,0.00053963956,0.0010070811,0.0019269752,0.00022729719],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001680944,0.00030579328,0.00052764924,0.0005921822,0.00018759261,0.0002910102,0.0014328464,0.0002703529,0.00011965015],"category_scores_gemma":[0.0020148922,0.00028625713,0.0001106961,0.00024035442,0.00039741152,0.00022360009,0.0017458438,0.00067959656,0.000023724611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013962256,0.00090870203,0.0009879367,0.001908444,0.0006939583,0.0000085555375,0.03280433,0.0006118341,0.0014384297,0.95617396,0.002156414,0.0021678377],"study_design_scores_gemma":[0.00026932266,0.00016634837,0.0014295392,0.00049384485,0.000047702637,0.0000039575048,0.0017966318,0.020169763,0.0029694266,0.9722792,0.00011602726,0.00025823442],"about_ca_topic_score_codex":0.00054295245,"about_ca_topic_score_gemma":0.00017876794,"teacher_disagreement_score":0.038533885,"about_ca_system_score_codex":0.00014288163,"about_ca_system_score_gemma":0.00016051409,"threshold_uncertainty_score":0.99995893},"labels":[],"label_agreement":null},{"id":"W2808874216","doi":"10.46298/dmtcs.12797","title":"Double-dimers and the hexahedron recurrence","year":2013,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Mathematics; Monomial; Hexahedron; Recurrence relation; Ising model; Cluster algebra; Pure mathematics; Combinatorics; Statistical physics; Physics","score_opus":0.017599921238278107,"score_gpt":0.2741595302144708,"score_spread":0.25655960897619273,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2808874216","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4928759,0.00012605364,0.4873898,0.0033175824,0.0011681012,0.0017546437,0.0000019858069,0.00020746449,0.013158483],"genre_scores_gemma":[0.93952453,0.000009569497,0.06003864,0.0002000836,0.000117659285,0.00006037794,4.061368e-7,0.00002065559,0.000028060253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99759316,0.00009031777,0.00045826662,0.00050221913,0.0008008924,0.0005551251],"domain_scores_gemma":[0.99741656,0.0011643932,0.00016332007,0.0008301834,0.00018632578,0.00023923455],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0014820092,0.0002841616,0.00040879927,0.000071552095,0.0005506841,0.0005972031,0.001197665,0.00007476368,0.0002272762],"category_scores_gemma":[0.00028984578,0.00015505531,0.000105402556,0.00042800992,0.0062783896,0.00033089268,0.0007879884,0.00028415336,0.000034268855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001815828,0.000023846185,0.000005321036,0.000039090875,0.000011491347,6.825602e-7,0.0019519307,0.000002991301,0.000018734883,0.99656564,0.00010488961,0.0012572054],"study_design_scores_gemma":[0.00092377426,0.000053476753,0.000018191733,0.00006230059,0.000028963914,0.000025429475,0.00015950506,0.10537329,0.00022626783,0.89290404,0.000013843867,0.00021092591],"about_ca_topic_score_codex":0.000012775268,"about_ca_topic_score_gemma":4.628453e-7,"teacher_disagreement_score":0.44664866,"about_ca_system_score_codex":0.000026739237,"about_ca_system_score_gemma":0.000051834035,"threshold_uncertainty_score":0.9964259},"labels":[],"label_agreement":null},{"id":"W2810660179","doi":"10.1016/j.nuclphysb.2018.10.022","title":"Cosets, characters and fusion for admissible-level <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"fraktur\">osp</mml:mi></mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">|</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math> minimal models","year":2018,"lang":"lv","type":"article","venue":"Nuclear Physics B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Australian Research Council; Pacific Institute for the Mathematical Sciences; University of Melbourne; Department of Education and Training; Natural Sciences and Engineering Research Council of Canada; University of Denver","keywords":"Coset; Mathematics; Tensor product; Minimal models; Product (mathematics); Tensor (intrinsic definition); Fusion; Pure mathematics; Discrete mathematics; Geometry; Linguistics; Philosophy","score_opus":0.027265013368010738,"score_gpt":0.24782741255092286,"score_spread":0.22056239918291212,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2810660179","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9655461,0.001386896,0.001663231,0.0009668055,0.005254045,0.00035476597,0.0029149966,0.0007308816,0.021182282],"genre_scores_gemma":[0.97863,0.0016511128,0.0062492783,0.0021598828,0.006132292,0.0010803831,0.0016975432,0.00214379,0.00025573224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9825746,0.0007100786,0.0036503745,0.0039970847,0.0044338363,0.0046340693],"domain_scores_gemma":[0.98651624,0.0023484977,0.004239026,0.00372667,0.00073180156,0.00243774],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0025887105,0.0024647017,0.0013202495,0.00070954673,0.003486603,0.0032031105,0.003954792,0.004734232,0.016170286],"category_scores_gemma":[0.0016866229,0.004057245,0.0032430377,0.0016569933,0.002618149,0.0029667604,0.003890705,0.0033075826,0.0021096403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003615028,0.0010412061,0.0000074680515,0.0024008234,0.0030982401,0.0005733296,0.005624102,0.0007892837,0.0038620539,0.8764396,0.09588148,0.006667424],"study_design_scores_gemma":[0.008342833,0.006202944,0.00008070953,0.003939562,0.005306665,0.0013434867,0.0056208023,0.31168368,0.49640355,0.14688735,0.008305211,0.0058832183],"about_ca_topic_score_codex":0.0016569702,"about_ca_topic_score_gemma":0.00048103664,"teacher_disagreement_score":0.7295522,"about_ca_system_score_codex":0.00009897242,"about_ca_system_score_gemma":0.0022304433,"threshold_uncertainty_score":0.99899185},"labels":[],"label_agreement":null},{"id":"W2810720047","doi":"10.1016/j.jalgebra.2018.06.021","title":"Irreducible Witt modules from Weyl modules and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>-modules","year":2018,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Soochow University; Priority Academic Program Development of Jiangsu Higher Education Institutions; Henan University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Algebra over a field; Pure mathematics","score_opus":0.01862040948627721,"score_gpt":0.24430815410130524,"score_spread":0.22568774461502802,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2810720047","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80154055,0.0029758115,0.0012581346,0.0008837205,0.0057168235,0.000047488666,0.00021891808,0.0001398552,0.18721871],"genre_scores_gemma":[0.9816715,0.002112816,0.0074085174,0.00118765,0.0060652494,0.00023075406,0.00022964334,0.0008198299,0.00027403768],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.98992646,0.00047547437,0.00260694,0.0016508168,0.003050906,0.0022893762],"domain_scores_gemma":[0.99051607,0.0016710806,0.003548187,0.0025087337,0.00037898883,0.0013769537],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0020883929,0.0010770163,0.00062387483,0.0006364021,0.0016521479,0.0020741688,0.002473495,0.002564455,0.35059106],"category_scores_gemma":[0.0018996656,0.0018191615,0.0019700637,0.0009053673,0.0017789728,0.0020328457,0.0019212796,0.002114678,0.0010899383],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017230917,0.00034560784,0.000016917538,0.0008857796,0.0026115815,0.0011184933,0.0034693696,0.00053901906,0.0024721134,0.7240395,0.2604655,0.0023130248],"study_design_scores_gemma":[0.0036647008,0.002924804,0.00037134544,0.0024359964,0.0026762781,0.002872507,0.0031999862,0.038514465,0.91572785,0.023367181,0.0022397668,0.002005103],"about_ca_topic_score_codex":0.0016084065,"about_ca_topic_score_gemma":0.00071039266,"teacher_disagreement_score":0.91325575,"about_ca_system_score_codex":0.000028263285,"about_ca_system_score_gemma":0.0014937375,"threshold_uncertainty_score":0.99968785},"labels":[],"label_agreement":null},{"id":"W2837683139","doi":"10.3842/sigma.2020.049","title":"Reddening Sequences for Banff Quivers and the Class P","year":2020,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Class (philosophy); Mathematics; Pure mathematics; Algebra over a field; Combinatorics; Computer science; Artificial intelligence","score_opus":0.05700853080365874,"score_gpt":0.38055803813515116,"score_spread":0.3235495073314924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2837683139","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22143394,0.0020534392,0.7617893,0.011708804,0.0001275308,0.0017880166,0.000055038952,0.000094144074,0.0009497428],"genre_scores_gemma":[0.83138084,0.0001796403,0.16733567,0.00053029595,0.00018715723,0.00032038824,0.0000037748482,0.000013487999,0.00004874718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987743,0.00023113564,0.00029617822,0.00041986926,0.00010492705,0.00017359719],"domain_scores_gemma":[0.9953922,0.004018339,0.0001157615,0.00024424162,0.00008723046,0.00014224905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014283677,0.00016771948,0.00035878585,0.00004384021,0.0004231104,0.00009884951,0.00016541689,0.00011721369,0.000016786436],"category_scores_gemma":[0.0016402846,0.00010684884,0.00008625036,0.00036527598,0.00060898345,0.00007967385,0.00011908177,0.00024158064,3.335735e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006150684,0.000010795449,0.0002376888,0.00014203048,0.00004364935,4.1784407e-8,0.00066387624,3.2685432e-7,0.0000860165,0.93748426,0.000074475,0.061195303],"study_design_scores_gemma":[0.00068443356,0.00006330084,0.00012980711,0.000010238642,0.00008535651,0.0000049368055,0.0029961574,0.0012263788,0.0003554151,0.986523,0.0077849124,0.00013606451],"about_ca_topic_score_codex":0.00004442801,"about_ca_topic_score_gemma":0.00000288455,"teacher_disagreement_score":0.6099469,"about_ca_system_score_codex":0.000012483467,"about_ca_system_score_gemma":0.000022079821,"threshold_uncertainty_score":0.43571696},"labels":[],"label_agreement":null},{"id":"W2846791473","doi":"10.37236/8033","title":"Axioms for Shifted Tableau Crystals","year":2019,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Axiom; Characterization (materials science); Axiomatic system; Mathematics; Function (biology); Pure mathematics; Algebra over a field; Physics; Geometry","score_opus":0.03100247335834345,"score_gpt":0.306622779798564,"score_spread":0.27562030644022056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2846791473","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.741748,0.019214317,0.21052088,0.0026012147,0.020515526,0.0037236786,0.00002882517,0.00012863494,0.0015189355],"genre_scores_gemma":[0.9971136,0.0007062469,0.00008729057,0.00007500148,0.0008576106,0.000038375267,0.0000061084907,0.00013171752,0.0009840414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99621034,0.0001885466,0.0012742259,0.00033012574,0.0009431052,0.0010536476],"domain_scores_gemma":[0.9943967,0.0011383814,0.0023459957,0.0010568886,0.0009366919,0.00012538415],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0024384765,0.00055615616,0.0012915232,0.00019523619,0.00019363147,0.0001574391,0.0020545719,0.0005704594,0.000030345358],"category_scores_gemma":[0.00046593655,0.00037658223,0.00085155317,0.0002725176,0.0000805587,0.0001147551,0.0005012229,0.0027529418,0.0000035299695],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039350113,0.00013579025,0.000008474434,0.00028051046,0.00066718645,0.0000026657528,0.0003906845,0.0002737486,0.000022180697,0.9952451,0.0024756966,0.00010447147],"study_design_scores_gemma":[0.0027608303,0.0007464274,0.000008415341,0.00018690173,0.00060843996,0.00007526839,0.00013959162,0.00033770275,0.00049634604,0.990205,0.0040313425,0.00040372406],"about_ca_topic_score_codex":0.0000117873215,"about_ca_topic_score_gemma":0.0000024318804,"teacher_disagreement_score":0.2553656,"about_ca_system_score_codex":0.0008812589,"about_ca_system_score_gemma":0.00209873,"threshold_uncertainty_score":0.99986863},"labels":[],"label_agreement":null},{"id":"W2883434303","doi":"10.1016/j.aim.2021.107947","title":"The quantum Hikita conjecture","year":2021,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics; Massachusetts Institute of Technology; National Science Foundation","keywords":"Symplectic geometry; Quantum cohomology; Symplectomorphism; Mathematics; Pure mathematics; Conjecture; Ring (chemistry); Variety (cybernetics); Affine variety; Singularity; Torus; Resolution (logic); Cohomology; Symplectic manifold; Dual (grammatical number); Equivariant cohomology; Mathematical analysis; Geometry; Computer science","score_opus":0.025488329190046507,"score_gpt":0.3274717675354172,"score_spread":0.30198343834537067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883434303","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7615791,0.12874992,0.049683634,0.0024861041,0.028635321,0.0047265505,0.00006628423,0.0008071907,0.02326588],"genre_scores_gemma":[0.9501201,0.009710539,0.038055316,0.00010203194,0.0006700287,0.00032264524,0.00002574159,0.00018625392,0.0008073367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99732196,0.00013024025,0.0009262863,0.00052070495,0.0006013828,0.0004994484],"domain_scores_gemma":[0.9954402,0.0021896027,0.00061396183,0.0015491506,0.00013503092,0.0000720464],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00057187554,0.00050733384,0.0008310315,0.00006374057,0.00019931552,0.0002620129,0.0010919635,0.00045569526,0.00007106903],"category_scores_gemma":[0.0013174594,0.0003437026,0.00026568392,0.00019795304,0.00017692526,0.00013543865,0.0010040766,0.0012725616,0.0000057892694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006612143,0.00009139095,0.0000265002,0.0009452556,0.000055573095,0.000026644202,0.0018942158,0.00048642207,0.0000024581702,0.9944821,0.00024227853,0.0017405484],"study_design_scores_gemma":[0.00026577315,0.000018379911,0.000011064263,0.0006785315,0.000058681097,0.00001824873,0.0017394018,0.0031731469,0.000070439215,0.99068826,0.0028828615,0.00039523223],"about_ca_topic_score_codex":0.0000074315803,"about_ca_topic_score_gemma":0.00009034958,"teacher_disagreement_score":0.18854098,"about_ca_system_score_codex":0.00013962587,"about_ca_system_score_gemma":0.00018637592,"threshold_uncertainty_score":0.9999015},"labels":[],"label_agreement":null},{"id":"W2884580824","doi":"10.1090/jag/754","title":"Bivariant derived algebraic cobordism","year":2020,"lang":"en","type":"preprint","venue":"Journal of Algebraic Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Cobordism; Mathematics; Algebraic number; Pure mathematics; Algebraic topology; Algebra over a field; Topology (electrical circuits); Mathematical analysis; Combinatorics","score_opus":0.05617940178911592,"score_gpt":0.3119847608340823,"score_spread":0.2558053590449664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2884580824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9608026,0.0032411516,0.015552063,0.006022561,0.012432295,0.0007158149,0.00004461946,0.00017558888,0.0010132834],"genre_scores_gemma":[0.98344195,0.00029088414,0.011244777,0.00090913044,0.0037374238,0.0000136561885,0.00001614717,0.00020097116,0.00014508353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9937576,0.00032999425,0.002557928,0.00076833053,0.0018049418,0.0007812213],"domain_scores_gemma":[0.99276537,0.00092492916,0.0035990612,0.0011459939,0.00080051064,0.0007641298],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0011093168,0.0009944255,0.0024426552,0.0009013951,0.00018111306,0.00031041517,0.0021584856,0.0011260895,0.0007931795],"category_scores_gemma":[0.002687566,0.00084585143,0.0015139639,0.00080668845,0.00018173395,0.00025089653,0.0016958733,0.0036539468,0.000047163005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006739014,0.0007123166,0.00041482635,0.0023519027,0.005053426,0.0013836995,0.0027535243,0.00026757625,0.0025029578,0.9141536,0.06455534,0.0051769745],"study_design_scores_gemma":[0.0016944968,0.00039855923,0.001295928,0.00057271647,0.00075703854,0.00037332388,0.00026456433,0.000097411634,0.0013675183,0.99059105,0.0017498011,0.0008375732],"about_ca_topic_score_codex":0.000019774146,"about_ca_topic_score_gemma":0.0000021637281,"teacher_disagreement_score":0.07643751,"about_ca_system_score_codex":0.0003045119,"about_ca_system_score_gemma":0.0010691893,"threshold_uncertainty_score":0.99939924},"labels":[],"label_agreement":null},{"id":"W2884749003","doi":"10.1016/j.dam.2018.06.018","title":"A polynomial recognition of unit forms using graph-based strategies","year":2018,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Instituto Federal Goiás; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Mathematics; Unit (ring theory); Combinatorics; Graph; Polynomial; Algebraic number; Representation (politics); Exponential function; Discrete mathematics","score_opus":0.06318427701457477,"score_gpt":0.31391956759203893,"score_spread":0.25073529057746413,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2884749003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8805577,0.000008504414,0.10499601,0.000012010257,0.00018059593,0.00047773446,0.000025001089,0.00010355689,0.01363886],"genre_scores_gemma":[0.90820587,0.000001287907,0.09149026,0.000026389818,0.00017339499,0.00002389564,0.000014918911,0.000053792137,0.000010185874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984797,0.000018848077,0.000588746,0.0002322801,0.00036297142,0.00031745434],"domain_scores_gemma":[0.9986131,0.00023630421,0.0004455212,0.00047405844,0.00015274281,0.00007823024],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028127714,0.00027190204,0.00045528953,0.00013490523,0.00014447646,0.000059665184,0.00026409485,0.00016897613,0.00014445571],"category_scores_gemma":[0.0000709919,0.00022184012,0.0001439593,0.0002907397,0.0002696934,0.00012005175,0.00006660089,0.0001336814,0.000011137495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000116516465,0.00015385123,0.000007439812,0.00059137313,0.000104217695,0.0000010697975,0.0018738069,0.00002775075,0.011507919,0.9846995,0.0001836441,0.00073291],"study_design_scores_gemma":[0.0007900931,0.000108361826,0.0000062944146,0.00011471581,0.00014034109,0.0000036583776,0.0023387503,0.003452685,0.033042107,0.95969373,0.000028990275,0.00028025173],"about_ca_topic_score_codex":0.000016756017,"about_ca_topic_score_gemma":0.000010881962,"teacher_disagreement_score":0.027648143,"about_ca_system_score_codex":0.000027888267,"about_ca_system_score_gemma":0.00012422526,"threshold_uncertainty_score":0.90463775},"labels":[],"label_agreement":null},{"id":"W2886293308","doi":"10.1007/jhep10(2018)204","title":"Calogero-Sutherland approach to defect blocks","year":2018,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Koshland Foundation","keywords":"Conformal map; Integrable system; Scalar (mathematics); Euclidean geometry; Conformal field theory; Hypergeometric function; Scalar field; Inversion (geology); Differential geometry","score_opus":0.022405898774809998,"score_gpt":0.2567728347916007,"score_spread":0.23436693601679068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886293308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7110489,0.00006497798,0.28169936,0.000073750634,0.0014243687,0.000054437623,0.000002560414,0.000023820194,0.0056078103],"genre_scores_gemma":[0.988911,0.0000045718916,0.00722082,0.00019894299,0.0033487268,0.000002311192,6.7628605e-7,0.000030826784,0.00028212828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988877,0.00004924206,0.00034125117,0.00013598976,0.00036800912,0.00021780931],"domain_scores_gemma":[0.99891585,0.00010442099,0.00029143988,0.0002576966,0.00028412533,0.00014646212],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015105277,0.00016474475,0.00039038897,0.000050338986,0.000088958775,0.00003612381,0.00030239715,0.00008500124,0.000020353642],"category_scores_gemma":[0.000054450597,0.000119380136,0.00021040546,0.00018841603,0.00004985282,0.00008159058,0.00006188607,0.00015125431,0.0000035018786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006571645,0.00012794677,0.000019672516,0.0000072443477,0.00014347027,0.0000037816953,0.00032688622,0.00009001896,0.00013555585,0.9924424,0.005257305,0.0013799554],"study_design_scores_gemma":[0.0005102947,0.00036312564,0.000039330927,0.000022469225,0.00008302377,0.00004193669,0.00002888383,0.000044482986,0.0050283163,0.9918988,0.0017920212,0.0001473182],"about_ca_topic_score_codex":0.00003641269,"about_ca_topic_score_gemma":0.000003219498,"teacher_disagreement_score":0.27786207,"about_ca_system_score_codex":0.000045962388,"about_ca_system_score_gemma":0.000061573155,"threshold_uncertainty_score":0.48681805},"labels":[],"label_agreement":null},{"id":"W2886786342","doi":"10.1098/rspa.2018.0549","title":"Self-avoiding walk, spin systems and renormalization","year":2019,"lang":"en","type":"article","venue":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Renormalization; Renormalization group; Lattice (music); Spin (aerodynamics); Critical phenomena; Mathematical model","score_opus":0.009596264656902066,"score_gpt":0.22492082275238265,"score_spread":0.2153245580954806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886786342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9983092,0.000065855376,0.00040536356,0.00007419734,0.00010441861,0.00020093833,4.5161474e-7,0.0000597746,0.00077978906],"genre_scores_gemma":[0.9969687,0.0000052372234,0.0028586884,0.000006871922,0.00007650843,0.000007514195,3.3044557e-8,0.000009186776,0.00006730079],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991591,0.000003562879,0.00017006391,0.00018338022,0.00030246732,0.00018140806],"domain_scores_gemma":[0.9995773,0.00018669773,0.00008947436,0.00005224663,0.000042557745,0.000051738458],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003315468,0.0001253958,0.00024314762,0.000011304969,0.00014540047,0.000093911316,0.00018744182,0.000051640076,0.000001976222],"category_scores_gemma":[0.00012553859,0.00007507609,0.000083661325,0.00017392958,0.00010582811,0.0001331617,0.00015621776,0.00012903182,7.2366623e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000010895025,0.000027958284,0.00021576033,0.0012300811,0.000020078862,9.193022e-9,0.0016262676,0.00021707707,0.00083699095,0.9957739,0.000037595917,0.000013187884],"study_design_scores_gemma":[0.000117357944,0.00005285365,0.00018458687,0.00019832005,0.000031972784,0.0000023343916,0.00047805533,0.5024007,0.00072043034,0.49568406,0.000015684735,0.000113657385],"about_ca_topic_score_codex":0.0000029104815,"about_ca_topic_score_gemma":6.85663e-9,"teacher_disagreement_score":0.5021836,"about_ca_system_score_codex":0.000014559282,"about_ca_system_score_gemma":0.0000074922905,"threshold_uncertainty_score":0.30615142},"labels":[],"label_agreement":null},{"id":"W2888614394","doi":"10.1007/jhep05(2019)159","title":"$$ \\mathcal{W} $$ -algebra modules, free fields, and Gukov-Witten defects","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Deutsche Forschungsgemeinschaft; Government of Canada","keywords":"Vertex (graph theory); Yangian; Degenerate energy levels; Simple (philosophy); Gauge theory; Operator (biology); Realization (probability); BRST quantization; Transformation (genetics); Sketch","score_opus":0.011654488499898348,"score_gpt":0.2253812603078865,"score_spread":0.21372677180798816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2888614394","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9809114,0.0003477342,0.016477818,0.00018584162,0.0012501513,0.000051341103,0.000002728685,0.000020350832,0.0007526886],"genre_scores_gemma":[0.99617565,0.00008526581,0.0022840244,0.0002122785,0.00090123044,0.0000014813476,0.0000011394688,0.000034518074,0.0003043902],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987544,0.000051770337,0.00039796362,0.00016243481,0.00040952562,0.0002239512],"domain_scores_gemma":[0.99862975,0.00024462253,0.00042606014,0.00041911553,0.00016042436,0.00012002839],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012510581,0.00020257346,0.00047620488,0.000050067803,0.000057014066,0.000052505427,0.00035761605,0.00014148011,0.000039006503],"category_scores_gemma":[0.00006959868,0.00015619959,0.00016795815,0.00010824911,0.00003591672,0.0002276759,0.00014663939,0.000267236,0.0000031064214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003883481,0.000057266367,0.00015759097,0.00003781213,0.00010130753,0.000012496376,0.00011027065,0.00008593557,0.000104239385,0.9945652,0.003114318,0.0016147535],"study_design_scores_gemma":[0.001090186,0.00024057977,0.00039745372,0.00006245207,0.00007345402,0.000048243597,0.000032288895,0.00009496116,0.0021559629,0.9949879,0.00063307025,0.00018346365],"about_ca_topic_score_codex":0.0000428686,"about_ca_topic_score_gemma":0.0000057789634,"teacher_disagreement_score":0.015264326,"about_ca_system_score_codex":0.000033953755,"about_ca_system_score_gemma":0.000049746333,"threshold_uncertainty_score":0.6369634},"labels":[],"label_agreement":null},{"id":"W2888908932","doi":"10.1016/j.jalgebra.2019.10.041","title":"A categorification of biclosed sets of strings","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Congruence lattice problem; Lattice (music); Mathematics; Map of lattices; Pure mathematics; Associative property; Combinatorics; Discrete mathematics; Reciprocal lattice; Distributive lattice; Physics","score_opus":0.04486901867734309,"score_gpt":0.31724585679242173,"score_spread":0.2723768381150786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2888908932","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9952904,0.000468723,0.0015160036,0.00012335989,0.0019625067,0.0002704777,0.000013868504,0.000008632491,0.0003460221],"genre_scores_gemma":[0.99681413,0.00011049857,0.002725772,0.000010559548,0.0002385253,0.0000018323984,0.0000035605096,0.00003505644,0.000060092665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99744636,0.00008593224,0.00143896,0.00017528227,0.0006957258,0.00015773582],"domain_scores_gemma":[0.9941978,0.00026777227,0.004079537,0.0005786779,0.00080047955,0.000075758435],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059308176,0.0002371946,0.0010103041,0.00026789057,0.000016837255,0.000017552708,0.00064751826,0.00037389263,0.00007299484],"category_scores_gemma":[0.0003375678,0.000193994,0.00046819446,0.00013037908,0.000055201795,0.00008630872,0.00022036344,0.0006760239,0.0000017209711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004439533,0.00048689838,0.001331606,0.0033116364,0.0012602829,0.000012226256,0.0033521128,0.0006379286,0.0068573942,0.97716266,0.002538557,0.002604726],"study_design_scores_gemma":[0.0007824018,0.00022235177,0.0013692522,0.00049158675,0.0002622872,0.000021646563,0.00013702322,0.00009625405,0.019523297,0.9768652,0.000063349195,0.00016537582],"about_ca_topic_score_codex":0.000033176115,"about_ca_topic_score_gemma":7.5845946e-7,"teacher_disagreement_score":0.012665902,"about_ca_system_score_codex":0.000081771475,"about_ca_system_score_gemma":0.00045116953,"threshold_uncertainty_score":0.7910846},"labels":[],"label_agreement":null},{"id":"W2890118465","doi":"10.37236/10479","title":"Some Remarks on Combinatorial Wall-Crossing","year":2022,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"National Science Foundation","keywords":"Simple (philosophy); Representation (politics); Mathematics; Algebra over a field; Combinatorics; Computer science; Pure mathematics; Law","score_opus":0.023423320161291176,"score_gpt":0.29950855947351346,"score_spread":0.2760852393122223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890118465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92961705,0.013031543,0.0010205839,0.0032812634,0.049646754,0.0012730961,0.000012545579,0.000164816,0.00195237],"genre_scores_gemma":[0.99539465,0.0010675399,0.000024350411,0.00026056278,0.0025219794,0.000030322117,0.0000068929876,0.000178505,0.00051521126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9930975,0.00091036473,0.0016981728,0.0005212085,0.002431024,0.0013417214],"domain_scores_gemma":[0.9931494,0.0015724254,0.0030209539,0.0015337768,0.0005129666,0.00021047537],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0038847663,0.0008154416,0.0014983816,0.00033980267,0.0010559978,0.0004375486,0.0031854634,0.00057540456,0.00013364805],"category_scores_gemma":[0.0008489121,0.00059877074,0.0010223743,0.0004431012,0.00024172728,0.0001848761,0.0013299199,0.009106937,0.000004515551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004763416,0.00043275615,0.000018042188,0.000105572435,0.00061361305,0.000041251933,0.0007219158,0.00039858193,0.000011601554,0.9930367,0.0039948924,0.00014872226],"study_design_scores_gemma":[0.0024004353,0.0014287465,0.000022337332,0.00018910402,0.00046501623,0.00012957891,0.00015969966,0.00009414787,0.00020464469,0.98538435,0.008941058,0.00058085856],"about_ca_topic_score_codex":0.000025871388,"about_ca_topic_score_gemma":0.0000016305094,"teacher_disagreement_score":0.06577761,"about_ca_system_score_codex":0.0028076402,"about_ca_system_score_gemma":0.003393197,"threshold_uncertainty_score":0.99964637},"labels":[],"label_agreement":null},{"id":"W2890319704","doi":"10.1090/proc/14849","title":"Undecidability of ℚ⁽²⁾","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Royal University","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Universidad de Concepción","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science","score_opus":0.013634193187750257,"score_gpt":0.2617803355394272,"score_spread":0.24814614235167695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890319704","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9898484,0.00005739872,0.0001021761,0.0005984107,0.0002690948,0.0009874867,0.000015834634,0.000035893085,0.008085342],"genre_scores_gemma":[0.98998845,0.000029491972,0.009038073,0.00012746915,0.00009263214,0.000014622313,2.166815e-7,0.000056828958,0.0006522283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99678916,0.000026010845,0.0011569276,0.00045714137,0.0010828834,0.0004878905],"domain_scores_gemma":[0.9957379,0.000802972,0.0021909387,0.00059725874,0.00054130895,0.00012959965],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008721423,0.00039775358,0.0015060945,0.000023700119,0.00009267079,0.000039741935,0.0012870386,0.00017477822,0.00038776745],"category_scores_gemma":[0.0007945909,0.00026280974,0.0013982509,0.0008286912,0.0015327507,0.0001289038,0.00079092366,0.00047396283,0.000029939723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007347443,0.0005415779,0.009025679,0.0044939173,0.00041367908,2.484677e-8,0.003640969,0.0000024582193,0.006323742,0.97383106,0.0013617261,0.00029171276],"study_design_scores_gemma":[0.00048624742,0.00029425012,0.0030320098,0.0004928386,0.00030139726,0.0000038640533,0.0049232244,0.0010299918,0.010622983,0.9784661,0.00006513438,0.00028196786],"about_ca_topic_score_codex":0.00003681075,"about_ca_topic_score_gemma":1.7236756e-7,"teacher_disagreement_score":0.008935898,"about_ca_system_score_codex":0.00014206859,"about_ca_system_score_gemma":0.00011291603,"threshold_uncertainty_score":0.9999824},"labels":[],"label_agreement":null},{"id":"W2890547159","doi":"10.1142/s0219498820500942","title":"Decomposing Frobenius Heisenberg categories","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; University of Ottawa","funders":"","keywords":"Morphism; Mathematics; Tensor product; Envelope (radar); Frobenius algebra; Subcategory; Combinatorics; Pure mathematics; Algebra over a field; Computer science","score_opus":0.03005617849578846,"score_gpt":0.30704988529141386,"score_spread":0.2769937067956254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890547159","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9532345,0.009865497,0.030989371,0.001195573,0.0019865674,0.0010590432,0.000027768829,0.00005548477,0.0015862249],"genre_scores_gemma":[0.9936479,0.0009475299,0.0040805973,0.00007035565,0.00094952213,0.000030679854,0.000006674182,0.000044990633,0.00022176208],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840677,0.000044086715,0.00077522517,0.00025319803,0.00032320188,0.00019753404],"domain_scores_gemma":[0.99763656,0.00032854162,0.0010712871,0.0003967967,0.00041909053,0.00014771475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023051149,0.00027704463,0.0006310728,0.00014552324,0.00014498204,0.0001480178,0.0004332732,0.00030113917,0.000046731857],"category_scores_gemma":[0.00007737511,0.00022908943,0.0002238637,0.000100481164,0.0000420285,0.00012233251,0.0003391546,0.000742425,0.000007031167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002385828,0.00008396343,0.00006453775,0.00029579588,0.00028163817,0.0000023811415,0.00045841257,0.00009882293,0.00019987547,0.99531525,0.0015979226,0.001577545],"study_design_scores_gemma":[0.00038722696,0.000050581402,0.00012736324,0.00013148271,0.00030178743,0.000082677165,0.00011226776,0.0001956146,0.0006876245,0.992488,0.0051926323,0.00024273353],"about_ca_topic_score_codex":0.00000562592,"about_ca_topic_score_gemma":0.0000017512314,"teacher_disagreement_score":0.04041342,"about_ca_system_score_codex":0.00006509321,"about_ca_system_score_gemma":0.00023905859,"threshold_uncertainty_score":0.93419963},"labels":[],"label_agreement":null},{"id":"W2891265665","doi":"10.1007/jhep11(2018)188","title":"Logarithmic W-algebras and Argyres-Douglas theories at higher rank","year":2018,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Nilpotent; Pure mathematics; Mathematics; Vertex operator algebra; Vertex (graph theory); Rank (graph theory); Physics; Mathematical physics; Combinatorics; Algebra representation; Algebra over a field; Jordan algebra; Graph","score_opus":0.01527266885589114,"score_gpt":0.25121889456080637,"score_spread":0.23594622570491522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2891265665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9784916,0.00046916673,0.014054376,0.0003143437,0.004402092,0.000049074213,0.0000037425814,0.00003333638,0.002182273],"genre_scores_gemma":[0.99275523,0.00008145845,0.0013975791,0.000206696,0.0045000794,0.0000017147939,9.816131e-7,0.000038246446,0.001018006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987383,0.000076648364,0.00040921636,0.00015727698,0.0003808127,0.00023777],"domain_scores_gemma":[0.9986331,0.0002495096,0.0004655722,0.00026051665,0.0002771161,0.00011420573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015734592,0.00021747309,0.00043957945,0.00004887776,0.00018455068,0.00005383352,0.0002455876,0.00011084732,0.0001295803],"category_scores_gemma":[0.000044681812,0.0001586421,0.00013923821,0.00012633072,0.00025106437,0.00020503627,0.00014095665,0.00017314174,0.0000035348019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015950885,0.000048748698,0.000054430562,0.000013379325,0.00015306927,0.000012824508,0.00020646314,0.000004209351,0.00012265754,0.9948482,0.0034628976,0.0009136222],"study_design_scores_gemma":[0.001055328,0.00031270788,0.00030089752,0.000039959144,0.00009881901,0.000061988176,0.000021085465,0.000011204803,0.006603336,0.98607934,0.005236059,0.00017930478],"about_ca_topic_score_codex":0.000029317986,"about_ca_topic_score_gemma":0.000008137696,"teacher_disagreement_score":0.014263642,"about_ca_system_score_codex":0.00007398749,"about_ca_system_score_gemma":0.000051429673,"threshold_uncertainty_score":0.64692366},"labels":[],"label_agreement":null},{"id":"W2894059029","doi":"10.3842/sigma.2019.059","title":"Third Homology of some Sporadic Finite Groups","year":2019,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Government of Canada; Innovation, Science and Economic Development Canada; National Science Foundation","keywords":"Mathematics; Homology (biology); Pure mathematics; Cellular homology; Relative homology; Algebra over a field; Genetics; Biology; Gene","score_opus":0.025144530099884328,"score_gpt":0.3492040881980905,"score_spread":0.3240595580982062,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2894059029","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91254777,0.0011025008,0.08390252,0.00023463648,0.00021558025,0.00067431765,0.000031219017,0.00005070041,0.0012407372],"genre_scores_gemma":[0.9211398,0.00014002543,0.078238994,0.00009147682,0.00009104318,0.00007918248,0.0000069803627,0.000015503038,0.00019703452],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984924,0.0002212939,0.00047542635,0.00045353634,0.00013808324,0.00021923668],"domain_scores_gemma":[0.9964278,0.0025399134,0.00020088536,0.0006153286,0.00010173938,0.000114378585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013149274,0.0002010194,0.0005563433,0.00018942525,0.000108357075,0.000022290928,0.00020069238,0.0002246394,0.00012409347],"category_scores_gemma":[0.00051338266,0.00016228574,0.000113759525,0.00053495896,0.0003057555,0.000105583815,0.00013755677,0.00032528094,0.0000051423126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016983127,0.00009161312,0.005445672,0.00024715372,0.00004397209,1.0705203e-7,0.00011389417,4.8478813e-7,0.00032179727,0.9615497,0.000018537965,0.032150093],"study_design_scores_gemma":[0.00030433276,0.000118362565,0.003290992,0.000018031442,0.000057263158,0.000009193965,0.00040021044,0.0001220099,0.0010512621,0.99264634,0.0018135805,0.00016840322],"about_ca_topic_score_codex":0.00005657352,"about_ca_topic_score_gemma":0.000001744055,"teacher_disagreement_score":0.031981688,"about_ca_system_score_codex":0.00001943421,"about_ca_system_score_gemma":0.0000288087,"threshold_uncertainty_score":0.661782},"labels":[],"label_agreement":null},{"id":"W2895979019","doi":"10.4171/dm/734","title":"On the Classification of Lie Bialgebras by Cohomological Means","year":2019,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Knut och Alice Wallenbergs Stiftelse; University of Alberta","keywords":"Mathematics; Pure mathematics; Algebra over a field; Mathematics education","score_opus":0.03436790716200923,"score_gpt":0.293402621142879,"score_spread":0.2590347139808698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2895979019","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97634864,0.000021517188,0.000777871,0.0010838619,0.0002538268,0.0007279985,0.0000088185425,0.000058762555,0.0207187],"genre_scores_gemma":[0.9979433,0.0000059738823,0.0005852485,0.00020096131,0.00003111705,0.000050340637,0.0000060374155,0.0000258049,0.0011512534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984862,0.000109192144,0.00044925942,0.0002486744,0.0004888013,0.00021788091],"domain_scores_gemma":[0.99746275,0.0014369604,0.00028021008,0.0007219517,0.0000464232,0.000051680843],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00041140208,0.00019065844,0.00034402873,0.00003541469,0.00007202131,0.000044616772,0.00045508437,0.00011121731,0.003353844],"category_scores_gemma":[0.00032371972,0.00011078531,0.00012606957,0.00013562299,0.00009584327,0.000075067284,0.00008054132,0.00016619079,0.0002461474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002258519,0.00016310555,0.00004600392,0.00006340902,0.000050306524,2.9805898e-7,0.00031211742,3.024739e-7,0.002487718,0.9831661,0.013612785,0.00007529075],"study_design_scores_gemma":[0.00035397103,0.00015513861,0.00005580993,0.000058590223,0.00003756546,0.0000033214965,0.00026520804,0.00016778932,0.0048474455,0.99352545,0.00039856255,0.00013117827],"about_ca_topic_score_codex":0.0000044948706,"about_ca_topic_score_gemma":3.934517e-7,"teacher_disagreement_score":0.021594618,"about_ca_system_score_codex":0.000047876056,"about_ca_system_score_gemma":0.000019815863,"threshold_uncertainty_score":0.9975572},"labels":[],"label_agreement":null},{"id":"W2896447662","doi":"10.4171/dm/749","title":"Essential Dimension and Genericity for Quiver Representations","year":2020,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Quiver; Mathematics; Dimension (graph theory); Pure mathematics; Global dimension; Algebra over a field","score_opus":0.04884619899311537,"score_gpt":0.3346025896742586,"score_spread":0.2857563906811432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896447662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9349678,0.00006579456,0.059173405,0.0030461997,0.00026066203,0.0010860813,0.000016827646,0.00015089168,0.0012323116],"genre_scores_gemma":[0.96730417,0.000010352325,0.031775262,0.00039686225,0.0002035028,0.00008051099,0.000008468429,0.00003132049,0.00018955054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902844,0.000027805125,0.0002813997,0.00028102158,0.0001985728,0.00018276356],"domain_scores_gemma":[0.9992183,0.00028097455,0.000112907015,0.00021555231,0.000044113352,0.00012818357],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009143779,0.00014697007,0.00025130907,0.000021088188,0.00014713076,0.00007413148,0.00012625504,0.000054144053,0.00023213842],"category_scores_gemma":[0.00023944616,0.0001247341,0.000081348,0.00008067779,0.000050594906,0.000147382,0.00012946369,0.00006162651,0.000010034061],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037100497,0.000045251243,0.000030174566,0.00019373967,0.000059378057,0.0000015309101,0.002071361,0.0000017945372,0.0021579673,0.9876855,0.00754456,0.00017166985],"study_design_scores_gemma":[0.00076545525,0.000074972406,0.00001669075,0.000017494875,0.00010553849,0.000005695938,0.00035303284,0.002045659,0.0058797146,0.9900189,0.0005568928,0.00015993085],"about_ca_topic_score_codex":0.000006198728,"about_ca_topic_score_gemma":7.0628016e-7,"teacher_disagreement_score":0.03233634,"about_ca_system_score_codex":0.000015797381,"about_ca_system_score_gemma":0.000014152189,"threshold_uncertainty_score":0.5086509},"labels":[],"label_agreement":null},{"id":"W2896520629","doi":"10.1088/1751-8121/aafd1b","title":"Bootstrapping the long-range Ising model in three dimensions","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Ising model; Conformal map; Unitarity; Physics; Scaling dimension; Multiplet; Scalar (mathematics); Operator (biology); Conformal symmetry; Dimension (graph theory); Spin (aerodynamics); Scaling; Mathematical physics; Mathematics; Combinatorics; Statistical physics; Mathematical analysis; Quantum mechanics; Spectral line; Geometry; Quantum field theory","score_opus":0.023870944596650553,"score_gpt":0.2748397123124451,"score_spread":0.2509687677157945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896520629","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95027804,0.000078007775,0.047812887,0.0005159086,0.00011233281,0.0001794735,7.510939e-7,0.000007703679,0.0010149028],"genre_scores_gemma":[0.99828786,0.000010436565,0.0014405982,0.00008137585,0.00014245315,0.0000021982898,7.807955e-8,0.00002060163,0.000014428675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986501,0.000058674734,0.00051954447,0.00012887709,0.00040115937,0.00024164755],"domain_scores_gemma":[0.99841803,0.0009910503,0.00018564594,0.00023310163,0.000072566836,0.000099603116],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005904038,0.00016469306,0.0004507787,0.000037180747,0.00006117654,0.000056221295,0.00022206764,0.00008551837,0.00007863526],"category_scores_gemma":[0.00019994414,0.00009017701,0.00016453394,0.00011592441,0.00026822466,0.00010091358,0.000107874446,0.0004618198,0.000006198776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003872211,0.00012185359,0.00020662948,0.0000740727,0.00003543039,0.000007713421,0.00051574636,0.00015899492,0.000069728245,0.9985937,0.000007779123,0.00016964054],"study_design_scores_gemma":[0.00052864436,0.000076343335,0.000089897505,0.00023295867,0.00005922583,0.0000638633,0.00009416433,0.076128215,0.00008010664,0.922539,9.953659e-7,0.000106597494],"about_ca_topic_score_codex":3.906728e-7,"about_ca_topic_score_gemma":3.7742666e-7,"teacher_disagreement_score":0.0760547,"about_ca_system_score_codex":0.000022600578,"about_ca_system_score_gemma":0.000041915646,"threshold_uncertainty_score":0.36773115},"labels":[],"label_agreement":null},{"id":"W2896547049","doi":"10.1142/s0219199718500694","title":"Strongly graded vertex algebras generated by vertex Lie algebras","year":2018,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Science Foundation of Shanghai","keywords":"Lie conformal algebra; Vertex operator algebra; Mathematics; Vertex (graph theory); Pure mathematics; Affine Lie algebra; Lie algebra; Vertex model; Algebra over a field; Combinatorics; Jordan algebra; Algebra representation; Current algebra","score_opus":0.13288007539223926,"score_gpt":0.3517586342990439,"score_spread":0.21887855890680466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896547049","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94801265,0.0040983628,0.004538629,0.0019408633,0.0012845712,0.0019332994,0.00007313979,0.00068172155,0.037436783],"genre_scores_gemma":[0.97571766,0.00013479378,0.0226091,0.00023553387,0.00008959406,0.00015485598,0.000114354174,0.00011541025,0.00082868827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969107,0.0003361172,0.0012965793,0.0004701019,0.0004828566,0.00050367694],"domain_scores_gemma":[0.99374175,0.0012985499,0.0005021667,0.003956507,0.00031520662,0.00018583663],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006828407,0.00048767225,0.0007517296,0.00022062322,0.00045031932,0.00014728782,0.0025582463,0.00033063354,0.00020133948],"category_scores_gemma":[0.0008102465,0.00047132815,0.00016285133,0.0007356056,0.0006257837,0.00037459368,0.0007947412,0.00060016266,0.000121501034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002542921,0.0007665497,0.0002719209,0.000082177336,0.00013118667,0.0000032467453,0.002674205,6.8428466e-7,0.0006094654,0.94031596,0.054678828,0.00044036983],"study_design_scores_gemma":[0.0015427857,0.0001577162,0.000057463974,0.0002141399,0.000049906284,0.000012562517,0.00091495115,0.0058090785,0.0015858689,0.9834385,0.0056621525,0.0005548906],"about_ca_topic_score_codex":0.00007825156,"about_ca_topic_score_gemma":0.000076425145,"teacher_disagreement_score":0.049016673,"about_ca_system_score_codex":0.00017701472,"about_ca_system_score_gemma":0.00028645687,"threshold_uncertainty_score":0.99977386},"labels":[],"label_agreement":null},{"id":"W2896717571","doi":"10.1007/s00220-019-03575-5","title":"Cohomological Hall Algebras, Vertex Algebras and Instantons","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":70,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"National Science Foundation","keywords":"Yangian; Moduli space; Cohomology; Vertex (graph theory); Instanton; Mathematics; Affine transformation; Pure mathematics; Conjecture; Cluster algebra; Space (punctuation); Vertex operator algebra; Algebra over a field; Combinatorics; Physics; Mathematical physics; Jordan algebra; Algebra representation; Quantum mechanics; Computer science; Quantum","score_opus":0.06307567601456227,"score_gpt":0.3319338644153143,"score_spread":0.26885818840075204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896717571","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94869477,0.0004250804,0.004072712,0.0011906946,0.0001872506,0.0009823752,0.000007955333,0.00018814568,0.044251043],"genre_scores_gemma":[0.9779873,0.00010675021,0.021421397,0.00015843047,0.000028280885,0.00006655144,0.000009430002,0.000037271944,0.00018456968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99838597,0.00018313453,0.0005227685,0.00031068528,0.00027550358,0.00032196616],"domain_scores_gemma":[0.99574983,0.0018610767,0.00013630747,0.0020760857,0.00007097943,0.000105720086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035535858,0.0002494348,0.0005206229,0.0000539828,0.0001342154,0.000064225256,0.0010064103,0.00017966791,0.00017496492],"category_scores_gemma":[0.00041882793,0.00021524225,0.00009480422,0.00030557462,0.00034541424,0.00017149957,0.00082570047,0.0005212694,0.00013797938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007792484,0.00033594412,0.0006984329,0.000083079496,0.000027289418,0.0000010795331,0.0005296831,0.0000021629307,0.000058543726,0.9968183,0.00019303225,0.0012446633],"study_design_scores_gemma":[0.0005929006,0.00005124936,0.0006416909,0.00011411832,0.000030733725,0.00001021341,0.00019989176,0.0039504087,0.00005298222,0.99380267,0.00030056978,0.00025259037],"about_ca_topic_score_codex":0.000009110883,"about_ca_topic_score_gemma":0.000008018149,"teacher_disagreement_score":0.044066474,"about_ca_system_score_codex":0.00007409765,"about_ca_system_score_gemma":0.00004811943,"threshold_uncertainty_score":0.87773246},"labels":[],"label_agreement":null},{"id":"W2897281900","doi":"10.1007/978-981-15-1611-5_6","title":"Gröbner Bases and Dimension Formulas for Ternary Partially Associative Operads","year":2020,"lang":"en","type":"book-chapter","venue":"Indian statistical institute series","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Associative property; Mathematics; Dimension (graph theory); Pure mathematics; Ternary operation; Ideal (ethics); Polynomial; Extension (predicate logic); Basis (linear algebra); Algebra over a field; Mathematical analysis; Computer science; Geometry; Programming language","score_opus":0.04992569893901043,"score_gpt":0.298181233408317,"score_spread":0.24825553446930654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2897281900","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01821051,0.0027948595,0.38580272,0.013770211,0.029493568,0.020409178,0.04560174,0.0023930669,0.48152417],"genre_scores_gemma":[0.3916714,0.0009339333,0.31240502,0.0051115076,0.007536375,0.00062980055,0.004426724,0.0011944823,0.2760908],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982611,0.00002267439,0.00051727204,0.0005266924,0.00034937993,0.000322913],"domain_scores_gemma":[0.99849427,0.00062494306,0.0002459024,0.00023332315,0.00013985258,0.00026171663],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0000923442,0.00049437734,0.0007926937,0.00005921263,0.00027702557,0.00012663257,0.00017392781,0.0004180303,0.00013354016],"category_scores_gemma":[0.00064328086,0.0004298898,0.00012062003,0.000021838867,0.00041310638,0.00029239073,0.00018875886,0.0003733791,0.000018747764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018659838,0.000013539849,0.0000055264104,0.00025417923,0.00023138315,0.000174985,0.0005618438,9.095454e-7,0.0000047054555,0.9916613,0.0047222455,0.0021827493],"study_design_scores_gemma":[0.00052818446,0.0004103141,0.000020191856,0.00017576765,0.00021438471,0.000023818675,0.00003388384,0.00006597939,0.000045787325,0.91174424,0.08625955,0.00047789505],"about_ca_topic_score_codex":0.00001864041,"about_ca_topic_score_gemma":0.00012362041,"teacher_disagreement_score":0.37346086,"about_ca_system_score_codex":0.00009905658,"about_ca_system_score_gemma":0.00021921951,"threshold_uncertainty_score":0.9998153},"labels":[],"label_agreement":null},{"id":"W2898501522","doi":"10.1007/jhep02(2019)044","title":"Thermal correlation functions of KdV charges in 2D CFT","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Science and Technology Facilities Council; Natural Sciences and Engineering Research Council of Canada; Alexander S. Onassis Public Benefit Foundation; Simons Foundation","keywords":"Korteweg–de Vries equation; Partition function (quantum field theory); Torus; Correlation function (quantum field theory); Central charge; Transformation (genetics); KdV hierarchy; Function (biology); Modular design","score_opus":0.013069502871986084,"score_gpt":0.23258563515719272,"score_spread":0.21951613228520664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898501522","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98475355,0.000063135616,0.012911433,0.000046019504,0.0013850764,0.0000307906,0.0000015722081,0.0000051052184,0.00080328947],"genre_scores_gemma":[0.99892956,0.000013230572,0.0003003381,0.000020299278,0.00038946277,8.5302975e-7,0.0000014929368,0.000014520728,0.0003302376],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991743,0.00003817797,0.00036939298,0.00006560742,0.00025149828,0.00010100395],"domain_scores_gemma":[0.9990735,0.00013926062,0.00047813272,0.00014157216,0.00013823598,0.00002926496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009812682,0.00009008488,0.00027810596,0.000056001594,0.000018913988,0.000007795511,0.000118294345,0.00006591728,0.00007254671],"category_scores_gemma":[0.000021467888,0.000070862916,0.000114052404,0.00013240639,0.00001628438,0.0001676259,0.000021825865,0.00015022521,0.0000025715424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052192943,0.00009877097,0.0009538095,0.000014295173,0.000047472506,0.0000013248001,0.00017944738,0.006039516,0.00063745613,0.9907728,0.00017675561,0.001026199],"study_design_scores_gemma":[0.0007685237,0.00015317916,0.0025139693,0.00005595416,0.000034599714,0.0000039828806,0.00006358718,0.0005019157,0.002584951,0.99310124,0.00013876139,0.00007931294],"about_ca_topic_score_codex":0.000033344782,"about_ca_topic_score_gemma":0.0000028890927,"teacher_disagreement_score":0.014175988,"about_ca_system_score_codex":0.000035003122,"about_ca_system_score_gemma":0.00005232379,"threshold_uncertainty_score":0.2889706},"labels":[],"label_agreement":null},{"id":"W2899270452","doi":"10.1007/jhep01(2019)056","title":"Perturbative four-point functions in planar $$ \\mathcal{N}=4 $$ SYM From hexagonalization","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":69,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Computation; Coupling constant; Planar; Order (exchange); Coupling (piping); Loop (graph theory); Value (mathematics); Correlation function (quantum field theory); Wilson loop","score_opus":0.019760293089620306,"score_gpt":0.2352904846729241,"score_spread":0.2155301915833038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899270452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8764787,0.00012308238,0.11962697,0.000315902,0.0023865073,0.00007257976,0.000012813967,0.000018485009,0.00096501736],"genre_scores_gemma":[0.9974454,0.000021353037,0.0010239246,0.00013619792,0.00092975324,0.0000026753498,0.000011437956,0.00002830943,0.00040093932],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875116,0.00008379536,0.00047291256,0.00014547382,0.00038391456,0.00016272813],"domain_scores_gemma":[0.99869657,0.0003611043,0.0004734985,0.00020817848,0.0001923612,0.00006832021],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010559723,0.0001660146,0.00040335747,0.00007452737,0.0000420816,0.000031192907,0.00018579645,0.00010044769,0.00013136794],"category_scores_gemma":[0.000056901496,0.00013266141,0.00015179678,0.00018928343,0.000021596457,0.0002742818,0.000030348698,0.00022763251,0.000007722721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007845629,0.00010434615,0.00028407684,0.000009262917,0.00010456633,0.000010358505,0.0004046902,0.0011128231,0.00014691937,0.9957986,0.0014469292,0.0004989928],"study_design_scores_gemma":[0.0009379716,0.00014724971,0.0007238123,0.000090884445,0.000047799567,0.000011214269,0.00016215119,0.00048691023,0.0007999203,0.9958509,0.0005940608,0.0001471083],"about_ca_topic_score_codex":0.00015755942,"about_ca_topic_score_gemma":0.000021643853,"teacher_disagreement_score":0.12096676,"about_ca_system_score_codex":0.00012805052,"about_ca_system_score_gemma":0.000091008624,"threshold_uncertainty_score":0.54097754},"labels":[],"label_agreement":null},{"id":"W2899583444","doi":"10.1063/1.5111292","title":"Higher rank classical analogs of the Askey-Wilson algebra from the <i>sl</i><sub><i>N</i></sub> Onsager algebra","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Fundação de Amparo à Pesquisa e Inovação do Espírito Santo; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Subalgebra; Cellular algebra; Rank (graph theory); Algebra over a field; Mathematics; Filtered algebra; Quotient; Quotient algebra; Pure mathematics; Symmetric algebra; Algebra representation; Current algebra; Combinatorics","score_opus":0.019306942818112963,"score_gpt":0.24800562817343322,"score_spread":0.22869868535532026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899583444","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913069,0.00016166002,0.0031094195,0.001953176,0.0014948131,0.00042353908,0.000014721906,0.000024510653,0.0015112762],"genre_scores_gemma":[0.9970126,0.00002205028,0.001010434,0.00059402676,0.0011554861,0.0000055985583,0.0000012244359,0.00007129539,0.00012726901],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99625665,0.0003169242,0.0012813088,0.00026557964,0.0014612688,0.0004182576],"domain_scores_gemma":[0.9940712,0.0030853876,0.0013239364,0.0010422363,0.000315056,0.00016217219],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007039556,0.00039972973,0.0010655366,0.000033174016,0.00013178347,0.00008559178,0.0012347979,0.00024819188,0.00027545198],"category_scores_gemma":[0.00044395565,0.00020310677,0.00093966536,0.00036324287,0.00029197778,0.00025346063,0.00029226267,0.001050058,0.00006858178],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000116658186,0.0004973907,0.00021811354,0.000141113,0.0004542782,0.000006185421,0.000718064,0.000025782203,0.015152275,0.97199786,0.009546756,0.0011255078],"study_design_scores_gemma":[0.0012647734,0.00014051459,0.0009986291,0.0003815012,0.00040261168,0.000019707562,0.000112941525,0.000213757,0.031054657,0.96483976,0.00033382108,0.0002373391],"about_ca_topic_score_codex":0.0000032548617,"about_ca_topic_score_gemma":9.2301445e-7,"teacher_disagreement_score":0.015902383,"about_ca_system_score_codex":0.000082958606,"about_ca_system_score_gemma":0.00016850357,"threshold_uncertainty_score":0.8282454},"labels":[],"label_agreement":null},{"id":"W2899670778","doi":"10.1007/jhep03(2019)066","title":"Higgs and Coulomb branches from vertex operator algebras","year":2019,"lang":"en","type":"preprint","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Perimeter Institute","funders":"Institut Périmètre de physique théorique; Industry Canada; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Vertex (graph theory); Mathematical proof; Conjecture; Operator (biology); Higgs boson; Mathematics; Operator algebra; Coulomb; Gauge theory; Quiver; Pure mathematics; Theoretical physics; Algebra over a field; Combinatorics; Physics; Graph; Mathematical physics; Quantum mechanics; Geometry","score_opus":0.01957596058609652,"score_gpt":0.2548667159663741,"score_spread":0.2352907553802776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899670778","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9681463,0.0018339406,0.023132643,0.00018674134,0.0063340697,0.00009842591,0.000049999544,0.000028090662,0.00018975076],"genre_scores_gemma":[0.99398947,0.0005525218,0.0025040116,0.00023468447,0.0024800282,0.000004271746,0.000017247658,0.00008687093,0.00013091888],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99787736,0.00010678296,0.0007604803,0.00035759658,0.0006398374,0.0002579694],"domain_scores_gemma":[0.9973639,0.00043096876,0.0010894148,0.0005991518,0.00034711816,0.00016944495],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014754276,0.0004653574,0.001209336,0.00006634471,0.00007211291,0.00016529243,0.0005866619,0.00044240255,0.000055504377],"category_scores_gemma":[0.00007321978,0.00037634958,0.0003356106,0.00007416686,0.00007558748,0.00018679808,0.0005237271,0.000840188,0.0000031146465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008711228,0.0001083935,0.00014791577,0.00010325108,0.00070241775,0.000020321957,0.00032420908,0.0003643526,0.00007815896,0.99134153,0.0041252044,0.0025971027],"study_design_scores_gemma":[0.0010699779,0.000117978074,0.00026989225,0.0003420685,0.00033524956,0.000012383845,0.000034950324,0.00017861243,0.003522961,0.9929078,0.0008142054,0.00039387878],"about_ca_topic_score_codex":0.00025108276,"about_ca_topic_score_gemma":0.000005029733,"teacher_disagreement_score":0.025843106,"about_ca_system_score_codex":0.0001052041,"about_ca_system_score_gemma":0.00032824284,"threshold_uncertainty_score":0.99986887},"labels":[],"label_agreement":null},{"id":"W2900384399","doi":"10.1063/1.5088985","title":"<i>SU</i> <i>q</i> (3) corepresentations and bivariate q-Krawtchouk polynomials","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Montréal; Radboud Universiteit; Centre de Recherches Mathématiques","keywords":"Kravchuk polynomials; Mathematics; Bivariate analysis; Orthogonal polynomials; Discrete orthogonal polynomials; Pure mathematics; Hahn polynomials; Combinatorics; Unitary state; Difference polynomials; Discrete mathematics; Classical orthogonal polynomials; Algebra over a field; Wilson polynomials; Gegenbauer polynomials; Statistics","score_opus":0.02902909702799402,"score_gpt":0.30146327993795524,"score_spread":0.27243418290996124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900384399","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9761306,0.00008567335,0.017395452,0.00038398866,0.0006464988,0.000266463,0.000003809778,0.00002467557,0.0050628423],"genre_scores_gemma":[0.98861194,0.000014930592,0.010457573,0.00014543222,0.00047417436,0.0000022123834,4.175118e-7,0.000032926142,0.00026040003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985053,0.000061587045,0.00065406656,0.00013544633,0.00044245707,0.00020116096],"domain_scores_gemma":[0.99797946,0.0008977595,0.0005255884,0.00028566818,0.00016716425,0.00014438489],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003561681,0.00017266376,0.0005590709,0.000040833966,0.00005376094,0.00008863171,0.00022114356,0.00008384861,0.00014933394],"category_scores_gemma":[0.00026929678,0.0001278272,0.00018563958,0.00012916213,0.00006586103,0.00024209215,0.000087785425,0.0002680751,0.000036239675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035877194,0.00014432312,0.00014948928,0.00012634118,0.00009879898,0.000004514373,0.00043789126,0.000016838574,0.0014010121,0.9957277,0.0014049393,0.00045223878],"study_design_scores_gemma":[0.0009252822,0.00012173348,0.000067639725,0.00009763497,0.00011278002,0.00007392599,0.00012851456,0.00026475394,0.0013024521,0.99658203,0.0001828598,0.00014041364],"about_ca_topic_score_codex":0.0000015913708,"about_ca_topic_score_gemma":7.493085e-8,"teacher_disagreement_score":0.0124813365,"about_ca_system_score_codex":0.000027029977,"about_ca_system_score_gemma":0.00005822893,"threshold_uncertainty_score":0.52126414},"labels":[],"label_agreement":null},{"id":"W2903491090","doi":"10.1016/j.jalgebra.2019.11.019","title":"Borel-Weil theorem for algebraic supergroups","year":2019,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Supergroup; Simple (philosophy); Structured program theorem; Pure mathematics; Parameterized complexity; Algebraic number; Algebraic group; Borel subgroup; Euler characteristic; Field (mathematics); Algebra over a field; Group (periodic table); Combinatorics; Mathematical analysis","score_opus":0.018684069495888862,"score_gpt":0.27998486431561037,"score_spread":0.2613007948197215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2903491090","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99152374,0.00034659042,0.002913114,0.00055633974,0.0027740109,0.0003830052,0.000004743707,0.000031740496,0.0014667006],"genre_scores_gemma":[0.9933334,0.000027363789,0.004755474,0.00028062245,0.0009466263,0.0000061883256,0.00000160085,0.00006202434,0.0005866813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981186,0.000062668,0.00076007884,0.00019538874,0.0005009238,0.00036237136],"domain_scores_gemma":[0.9978224,0.00071571406,0.00056141376,0.00038298438,0.00035820768,0.00015924801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007066437,0.0002410764,0.00060504966,0.00014556934,0.00007805004,0.0000694118,0.0005366742,0.00017462575,0.0004686557],"category_scores_gemma":[0.0003891151,0.00017726037,0.00048955396,0.00015740743,0.000047279238,0.00029270645,0.0000659006,0.00031985226,0.000025204135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020434325,0.00008469979,0.00043090552,0.00008098838,0.00016967636,0.0000064127703,0.00042024272,0.0000057851635,0.000662125,0.99047637,0.0063690892,0.0010893869],"study_design_scores_gemma":[0.002068604,0.00063306757,0.00037609768,0.000080494436,0.00010056545,0.00011394718,0.00023831107,0.00007006822,0.0019236446,0.98944277,0.004730623,0.00022181435],"about_ca_topic_score_codex":0.0000022766644,"about_ca_topic_score_gemma":0.0000010480741,"teacher_disagreement_score":0.0018642609,"about_ca_system_score_codex":0.00007652926,"about_ca_system_score_gemma":0.00014573813,"threshold_uncertainty_score":0.7228468},"labels":[],"label_agreement":null},{"id":"W2904405839","doi":"10.2140/ant.2020.14.275","title":"On the definition of quantum Heisenberg category","year":2020,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Ottawa","funders":"","keywords":"Mathematics; Morphism; Invertible matrix; Symmetric monoidal category; Pure mathematics; Generator (circuit theory); Quantum; Skein; Closed monoidal category; Heisenberg group; Algebra over a field; Discrete mathematics; Quantum mechanics; Physics","score_opus":0.04993600838735555,"score_gpt":0.2690766358192068,"score_spread":0.21914062743185128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2904405839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9465389,0.000068357294,0.0021229668,0.0018696364,0.00046071093,0.00032672,0.00003594905,0.00013896351,0.04843775],"genre_scores_gemma":[0.9974,0.000008216624,0.00017366707,0.0020730558,0.000187214,0.000028627925,0.000010450026,0.00004355557,0.000075231095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986212,0.00027160486,0.00032702918,0.00024122414,0.00031543223,0.00022348805],"domain_scores_gemma":[0.99691963,0.0023091908,0.00019060753,0.00042792156,0.00006432553,0.00008830669],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003077916,0.00020058396,0.00027615594,0.000017085007,0.00011409254,0.000020152109,0.00034866558,0.00010827148,0.0053958446],"category_scores_gemma":[0.0008112025,0.00013409811,0.00017041429,0.00017148802,0.00013947595,0.000062248495,0.00008924838,0.0002577616,0.00026003242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012425272,0.0000466467,0.0000175046,0.000035770932,0.00006963377,0.0000033878985,0.0010783181,0.0000012470158,0.0000631524,0.9849439,0.01340354,0.00021260133],"study_design_scores_gemma":[0.00022662566,0.00008098654,0.00003792452,0.000029228308,0.00004788249,0.000004921109,0.00044976303,0.00005761829,0.0014152579,0.9971115,0.00038220835,0.00015607754],"about_ca_topic_score_codex":0.000009373681,"about_ca_topic_score_gemma":7.5117714e-7,"teacher_disagreement_score":0.05086104,"about_ca_system_score_codex":0.000017959488,"about_ca_system_score_gemma":0.000043841887,"threshold_uncertainty_score":0.9955134},"labels":[],"label_agreement":null},{"id":"W2904837571","doi":"10.1007/s00029-023-00831-4","title":"Minuscule reverse plane partitions via quiver representations","year":2023,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Quiver; Bijection; Mathematics; Combinatorics; Invariant (physics); Coxeter group; Pure mathematics; Isomorphism (crystallography); Nilpotent; Vertex (graph theory); Endomorphism; Graph","score_opus":0.04839110718608496,"score_gpt":0.32245816117441284,"score_spread":0.27406705398832787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2904837571","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8870542,0.000087689776,0.037902705,0.005393382,0.0018327023,0.002637477,0.00008556608,0.0036242686,0.06138202],"genre_scores_gemma":[0.9825405,0.00001668673,0.008221444,0.00018402173,0.00028383863,0.0002238525,0.000071750466,0.00008180097,0.008376123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984365,0.000106024905,0.00039405405,0.00030013264,0.00036204234,0.00040123053],"domain_scores_gemma":[0.998272,0.00081325456,0.00012392149,0.0005793274,0.00009372453,0.00011779746],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000418854,0.0001892379,0.000288242,0.0001290813,0.00024699216,0.000050893537,0.00025095933,0.00010247728,0.0013906931],"category_scores_gemma":[0.00086636853,0.00016884608,0.00013766615,0.0006899975,0.00006109989,0.00012702303,0.00008454485,0.00015528248,0.00081133295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009768237,0.00010172226,0.00003531636,0.00016371216,0.00009924172,0.00001946956,0.001785583,0.000010728459,0.00041711956,0.780733,0.21641465,0.00020969793],"study_design_scores_gemma":[0.00027895957,0.00004582049,0.00005892321,0.00004610118,0.00007050237,0.000020717647,0.00029054927,0.0012629224,0.00059086666,0.99511576,0.0020121834,0.000206684],"about_ca_topic_score_codex":0.000020693074,"about_ca_topic_score_gemma":0.000018220495,"teacher_disagreement_score":0.21440247,"about_ca_system_score_codex":0.00003894393,"about_ca_system_score_gemma":0.000045969835,"threshold_uncertainty_score":0.9999666},"labels":[],"label_agreement":null},{"id":"W2905263772","doi":"10.2969/aspm/03010217","title":"The $L$-Group","year":2018,"lang":"en","type":"article","venue":"Advanced studies in pure mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Computer science; Group (periodic table); Physics","score_opus":0.06482746606777398,"score_gpt":0.3856891596696814,"score_spread":0.3208616936019074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2905263772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94837683,0.007442749,0.008606077,0.0012905409,0.00845242,0.0016936442,0.0000049189025,0.0004276829,0.023705116],"genre_scores_gemma":[0.96409816,0.0005914171,0.033817172,0.00010517245,0.0004410301,0.00012957572,4.141001e-7,0.00004898137,0.0007680948],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849343,0.000043286578,0.0005008457,0.00023592636,0.0003170152,0.00040948603],"domain_scores_gemma":[0.99739915,0.0015706253,0.00019376515,0.0006256955,0.00017161047,0.000039149003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046441524,0.00023111615,0.00038068858,0.000038936025,0.00044469093,0.00003049927,0.00042263058,0.00007361559,0.00001125767],"category_scores_gemma":[0.0017959853,0.00014032556,0.00007780013,0.00027872392,0.00052434363,0.00008875871,0.00025620076,0.00019561136,0.000020477934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014863673,0.000051086987,0.00001996558,0.00008290231,0.0000738206,0.000003860035,0.004503656,0.0000022965892,0.00002362601,0.99088526,0.0015199534,0.00281874],"study_design_scores_gemma":[0.00041858482,0.0001029864,0.000012260423,0.00012046324,0.000022040747,0.000008701624,0.0060428022,0.00012960113,0.000195403,0.98795134,0.004822278,0.00017353712],"about_ca_topic_score_codex":7.299254e-7,"about_ca_topic_score_gemma":0.00008380603,"teacher_disagreement_score":0.025211096,"about_ca_system_score_codex":0.00009327639,"about_ca_system_score_gemma":0.000014210808,"threshold_uncertainty_score":0.57223105},"labels":[],"label_agreement":null},{"id":"W2913034559","doi":"10.48550/arxiv.1812.03255","title":"The degenerate Heisenberg category and its Grothendieck ring","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; Innovation, Science and Economic Development Canada; National Science Foundation","keywords":"Mathematics; Conjecture; Ring (chemistry); Degenerate energy levels; Pure mathematics; Charge (physics); Symmetric monoidal category; Envelope (radar); Algebra over a field; Physics; Quantum mechanics; Computer science","score_opus":0.10455106505281717,"score_gpt":0.21504895364945162,"score_spread":0.11049788859663445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2913034559","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9924112,0.00041202916,0.0017820443,0.00005059635,0.0013806353,0.0003996556,0.000007911738,0.00011654619,0.0034394097],"genre_scores_gemma":[0.99590594,0.0005157894,0.000056751134,0.000026733182,0.0003922876,0.0000023166704,0.0000029978814,0.0000441664,0.003053013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857265,0.00012823808,0.00020245789,0.00064961234,0.00008822428,0.00035883675],"domain_scores_gemma":[0.9985229,0.00024577693,0.0002433305,0.00070396625,0.00014675455,0.00013730631],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024848318,0.00033553145,0.00031705623,0.00006710955,0.000502758,0.00010689953,0.0006316926,0.00030727126,0.000039297618],"category_scores_gemma":[0.000080662954,0.00027749492,0.00014067236,0.00012739269,0.00015735923,0.00008420249,0.0011561145,0.00046488328,0.000023076918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044932243,0.000015140036,0.00013224628,0.00008410971,0.0001451636,0.000033689288,0.00018737392,0.00065630587,0.000014056283,0.9982419,0.00038273635,0.00006232613],"study_design_scores_gemma":[0.00035410802,0.00002981421,0.00009544226,0.0000521346,0.0001369063,0.000004953551,0.00009201076,0.015018639,0.00043953588,0.9829894,0.00045444167,0.00033261496],"about_ca_topic_score_codex":0.000059186797,"about_ca_topic_score_gemma":0.0000672658,"teacher_disagreement_score":0.015252521,"about_ca_system_score_codex":0.00010525067,"about_ca_system_score_gemma":0.00009604019,"threshold_uncertainty_score":0.9999677},"labels":[],"label_agreement":null},{"id":"W2913225375","doi":"10.1017/s0017089519000028","title":"ORIENTED FLIP GRAPHS, NONCROSSING TREE PARTITIONS, AND REPRESENTATION THEORY OF TILING ALGEBRAS","year":2019,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Quiver; Mathematics; Indecomposable module; Representation theory; Representation (politics); Combinatorics; Simple (philosophy); Pure mathematics; Algebra over a field; Discrete mathematics","score_opus":0.029491323805584592,"score_gpt":0.3021359447862488,"score_spread":0.27264462098066417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2913225375","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9751525,0.0001318133,0.021843864,0.00008880901,0.00038245032,0.00022608426,0.0000025490315,0.000036988993,0.0021349713],"genre_scores_gemma":[0.9869248,0.00002279752,0.012659313,0.000031272113,0.00011683981,0.0000051743705,0.0000017772966,0.000028301658,0.00020970216],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981784,0.00016168527,0.00070914405,0.00020882156,0.0004671042,0.00027480436],"domain_scores_gemma":[0.9981231,0.0008859586,0.00038213917,0.00030350444,0.00015550072,0.00014976179],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007994273,0.0001822277,0.00044140243,0.00011454758,0.00017481552,0.00010846833,0.00015676061,0.000115658106,0.000499971],"category_scores_gemma":[0.00069544866,0.00014040981,0.00016274102,0.00019255595,0.00014799068,0.00023749417,0.00007702515,0.00030848078,0.000017698541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068720154,0.00008268084,0.00096974586,0.00012485587,0.00008192403,0.000005473929,0.0009890063,0.0000045855627,0.0010853561,0.9941018,0.00011522273,0.002370588],"study_design_scores_gemma":[0.00089695957,0.000086745,0.00061195914,0.00025431882,0.00009090255,0.0002361394,0.00082846417,0.0004992013,0.0021605624,0.99415994,0.000028397812,0.00014643041],"about_ca_topic_score_codex":0.0000010466766,"about_ca_topic_score_gemma":5.682398e-7,"teacher_disagreement_score":0.011772351,"about_ca_system_score_codex":0.000029056411,"about_ca_system_score_gemma":0.000051909938,"threshold_uncertainty_score":0.5725746},"labels":[],"label_agreement":null},{"id":"W2915797925","doi":"10.24033/asens.2534","title":"Symplectic leaves for generalized affine Grassmannian slices","year":2023,"lang":"fr","type":"article","venue":"Annales Scientifiques de l École Normale Supérieure","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Japan Society for the Promotion of Science; Institut Périmètre de physique théorique; Government of Canada; Ontario Ministry of Economic Development, Job Creation and Trade; Innovation, Science and Economic Development Canada","keywords":"Grassmannian; Mathematics; Affine transformation; Symplectic geometry; Pure mathematics; Algebra over a field","score_opus":0.06148546302419751,"score_gpt":0.33167249799163506,"score_spread":0.27018703496743757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2915797925","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9692527,0.0057292446,0.0032287007,0.008281184,0.008546567,0.0017059951,0.00040111312,0.00070754334,0.0021469686],"genre_scores_gemma":[0.64278996,0.0017216784,0.008884207,0.0019240692,0.0039659897,0.00070094893,0.00040223333,0.00032432468,0.33928657],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99534667,0.00033594202,0.00083640125,0.0009989802,0.00067066716,0.0018113549],"domain_scores_gemma":[0.99689204,0.0006771859,0.00037195798,0.0009125578,0.0006759302,0.0004703583],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014940897,0.0006478505,0.00075917965,0.00045614917,0.0009704743,0.00078427274,0.0009929372,0.00054014433,0.0005575931],"category_scores_gemma":[0.0006834997,0.0006678182,0.00064368325,0.0016407375,0.00050628826,0.00071219396,0.00036040889,0.00042298128,0.00025018275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001757965,0.00027647393,0.0022167847,0.0027338988,0.00032936782,0.000086369,0.007973592,0.001625607,0.001760886,0.6870352,0.29123798,0.0045480784],"study_design_scores_gemma":[0.0016115085,0.0003764302,0.0014290806,0.0005234331,0.00042938552,0.00009096674,0.0010737061,0.02540091,0.008564554,0.6565197,0.30293792,0.0010424064],"about_ca_topic_score_codex":0.0002474753,"about_ca_topic_score_gemma":0.0010294779,"teacher_disagreement_score":0.3371396,"about_ca_system_score_codex":0.00017590985,"about_ca_system_score_gemma":0.00042893764,"threshold_uncertainty_score":0.9995773},"labels":[],"label_agreement":null},{"id":"W2915803484","doi":"10.1090/proc/14945","title":"Idempotent reduction for the finitistic dimension conjecture","year":2019,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Dimension (graph theory); Idempotence; Lambda; Quotient; Conjecture; Pure mathematics; Simple (philosophy); Algebra over a field; Combinatorics; Physics","score_opus":0.03211064240259788,"score_gpt":0.29798935411202715,"score_spread":0.2658787117094293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2915803484","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9696481,0.0002602881,0.015867125,0.0063605946,0.0019809827,0.004850969,0.00006790056,0.00017074817,0.00079324207],"genre_scores_gemma":[0.9782195,0.00007055023,0.02032509,0.00020399953,0.0004528482,0.00026003073,0.0000024005922,0.00008206902,0.00038348144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99779874,0.000017751632,0.00066746277,0.0004878142,0.000656633,0.00037157218],"domain_scores_gemma":[0.99614316,0.0012672634,0.001619133,0.00052003906,0.0003852563,0.000065117216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063935306,0.0004214676,0.00096168416,0.00001764855,0.00026786816,0.000090523165,0.0010530523,0.00024529395,0.000019966845],"category_scores_gemma":[0.0010965625,0.00022131372,0.0012063601,0.00020046458,0.0006884167,0.000042196796,0.0010859879,0.00080871803,0.0000028960142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000069578746,0.00012682422,0.000035459932,0.002979334,0.00058238884,3.920339e-8,0.0023261255,0.00011151296,0.0008104354,0.9640704,0.02840324,0.00048470654],"study_design_scores_gemma":[0.00026329193,0.00009914107,0.00009014614,0.00043082406,0.00063560664,0.000012903714,0.0013859374,0.005796687,0.0011858421,0.9896999,0.00013158192,0.00026816313],"about_ca_topic_score_codex":0.000017764793,"about_ca_topic_score_gemma":8.191477e-8,"teacher_disagreement_score":0.028271656,"about_ca_system_score_codex":0.00014059573,"about_ca_system_score_gemma":0.00009496384,"threshold_uncertainty_score":0.90249115},"labels":[],"label_agreement":null},{"id":"W2921056321","doi":"","title":"Kitaev lattice model for bicrossproduct Hopf algebras and tensor network representation","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hopf algebra; Quantum group; Covariant transformation; Pure mathematics; Mathematics; Lattice (music); Representation theory of Hopf algebras; Representation (politics); Quantum; Tensor product; Algebra over a field; Tensor (intrinsic definition); Hamiltonian (control theory); Theoretical physics; Algebra representation; Mathematical physics; Physics; Quantum mechanics; Cellular algebra","score_opus":0.1846189087176014,"score_gpt":0.26870623818227946,"score_spread":0.08408732946467806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2921056321","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8945627,0.00017500749,0.101694345,0.00019781568,0.0013042472,0.0011255272,0.000049768165,0.00016006222,0.0007304977],"genre_scores_gemma":[0.988687,0.00017258862,0.0048028734,0.000047801237,0.00065371074,0.000006847937,0.000029276634,0.000065638866,0.0055342666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979582,0.00006792663,0.00026942944,0.0011715814,0.000102155995,0.00043070823],"domain_scores_gemma":[0.9972727,0.00026722482,0.0005458264,0.0014895073,0.0002749827,0.00014976542],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000307004,0.00039761275,0.00056840235,0.000087659944,0.0006076999,0.00019061474,0.0006729417,0.0004510575,0.000011724312],"category_scores_gemma":[0.00039453828,0.0004293523,0.0002482194,0.000100078134,0.00019090317,0.00022322845,0.0008622311,0.00042713457,0.0000040810605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019045307,0.00003936401,0.00079270155,0.00027097535,0.00021231438,0.00001862419,0.00032098626,0.08327813,0.0000072168236,0.9116645,0.0030471256,0.00015761101],"study_design_scores_gemma":[0.00062373874,0.000024758026,0.00018874106,0.00007498875,0.0003188773,0.000002417514,0.000036970272,0.28668362,0.000021799888,0.7115906,0.00009826547,0.00033524027],"about_ca_topic_score_codex":0.000086059146,"about_ca_topic_score_gemma":0.000033538807,"teacher_disagreement_score":0.2034055,"about_ca_system_score_codex":0.000097057906,"about_ca_system_score_gemma":0.00013784076,"threshold_uncertainty_score":0.9998158},"labels":[],"label_agreement":null},{"id":"W2921932785","doi":"10.1088/1751-8121/ab32f8","title":"Truncation of the reflection algebra and the Hahn algebra","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Centre de Recherches Mathématiques; National Science Foundation","keywords":"Yangian; Reflection (computer programming); Algebra over a field; Context (archaeology); Orthogonal polynomials; Truncation (statistics); Cellular algebra; Euler's formula; Integrable system","score_opus":0.010468226790191942,"score_gpt":0.25591052634830397,"score_spread":0.24544229955811203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2921932785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9926675,0.00009874985,0.0038885453,0.0016993551,0.00024083082,0.00024772974,8.3226263e-7,0.0000054513225,0.0011510148],"genre_scores_gemma":[0.99886495,0.000022903992,0.0008139787,0.00007068528,0.00016789364,0.0000026580342,9.06154e-8,0.000014030299,0.000042817715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986809,0.00016910637,0.0005050918,0.000104181345,0.00041044995,0.0001302882],"domain_scores_gemma":[0.9979343,0.0012250169,0.00039148447,0.00024729292,0.0001413078,0.000060632356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007947931,0.00013380793,0.00043214974,0.000020113066,0.00007744776,0.000042001957,0.00020468108,0.000079438025,0.00007667888],"category_scores_gemma":[0.00040909296,0.000058388927,0.00018305035,0.00011892073,0.00075822294,0.000090137386,0.00011209383,0.0002971714,0.0000016989718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014653239,0.00007135971,0.00003902573,0.000110075525,0.00006635218,2.6825342e-7,0.0006900284,8.417852e-7,0.00025047368,0.9975318,0.000023587787,0.001069669],"study_design_scores_gemma":[0.0012454278,0.000121853765,0.00008038884,0.000108595625,0.00015559533,0.00007745827,0.00016791672,0.0011685016,0.0018594099,0.9949257,0.00001817649,0.0000710248],"about_ca_topic_score_codex":5.147354e-7,"about_ca_topic_score_gemma":7.1797324e-8,"teacher_disagreement_score":0.006197451,"about_ca_system_score_codex":0.000013259176,"about_ca_system_score_gemma":0.000033766926,"threshold_uncertainty_score":0.2793704},"labels":[],"label_agreement":null},{"id":"W2936165194","doi":"10.48550/arxiv.1904.09579","title":"Computer-aided study of double extensions of restricted Lie superalgebras preserving the non-degenerate closed 2-forms in characteristic 2","year":2019,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"York University; New York University Abu Dhabi","keywords":"Mathematics; Lie algebra; Lie superalgebra; Pure mathematics; Degenerate energy levels; Bilinear form; Lie conformal algebra; Extension (predicate logic); Conjecture; Algebra over a field; Graded Lie algebra; Killing form; Affine Lie algebra; Adjoint representation of a Lie algebra; Current algebra; Physics; Computer science","score_opus":0.08289911867695196,"score_gpt":0.3118934102795351,"score_spread":0.22899429160258314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2936165194","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9952782,0.00006769363,0.00020618,0.000079109624,0.0017170915,0.0024868348,0.000019982846,0.000048690552,0.00009624016],"genre_scores_gemma":[0.99910915,0.00004119283,0.00022066725,0.000031928183,0.00026225712,0.00011115982,0.000036998248,0.000077275196,0.00010935694],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9967831,0.00021906814,0.0013961713,0.000656454,0.00053103035,0.00041417565],"domain_scores_gemma":[0.9960223,0.00053539337,0.00093275023,0.0020628313,0.00036829888,0.00007843866],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00041854527,0.00049329165,0.0012851869,0.00021920579,0.00010182857,0.000046009325,0.0012423276,0.00038747332,0.00005409728],"category_scores_gemma":[0.00017597705,0.00034399392,0.0002254711,0.000386536,0.00006625147,0.000103501865,0.0018941257,0.0009511113,0.000008090607],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014213637,0.0048927777,0.8199416,0.0033331562,0.0016561334,0.00008709524,0.022228682,0.0038628574,0.0117513705,0.1297654,0.0008358109,0.00022378455],"study_design_scores_gemma":[0.00451646,0.0005446443,0.79251325,0.00074633845,0.00027110116,0.0000036224947,0.00055134855,0.0034313626,0.0018036992,0.19504458,0.0000076187603,0.0005659901],"about_ca_topic_score_codex":0.0011519794,"about_ca_topic_score_gemma":0.0001238556,"teacher_disagreement_score":0.06527917,"about_ca_system_score_codex":0.00007552255,"about_ca_system_score_gemma":0.00023606632,"threshold_uncertainty_score":0.99990124},"labels":[],"label_agreement":null},{"id":"W2936486637","doi":"10.4153/s0008439518000656","title":"On Differential Torsion Theories and Rings with Several Objects","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Functor; Torsion (gastropod); Abelian group; Abelian category; Pure mathematics; Differential (mechanical device); Combinatorics; Physics","score_opus":0.005367653501828699,"score_gpt":0.20278498833947078,"score_spread":0.1974173348376421,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2936486637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97951865,0.00000880787,0.00034976445,0.0005887498,0.00016762005,0.00033940573,0.0000046376363,0.000045053916,0.01897733],"genre_scores_gemma":[0.99622697,0.0000010254627,0.0007027822,0.00032988924,0.00007183825,0.000013240953,0.000001972377,0.000036032183,0.0026162378],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890745,0.000036769343,0.00017455526,0.00027228717,0.00024398637,0.00036494766],"domain_scores_gemma":[0.99891406,0.00034093228,0.000051674324,0.00030212323,0.000035186855,0.00035603356],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00009658901,0.0002144094,0.00030294296,0.00007092645,0.000108017004,0.000079192025,0.0001416504,0.00011820502,0.008951807],"category_scores_gemma":[0.00016498359,0.00014960197,0.000044440912,0.00005765612,0.000080668375,0.000024619956,0.000037083802,0.00018953683,0.000776502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004270816,0.000017890687,0.000050172257,0.00009757916,0.000020947798,0.00000979955,0.00041384343,9.977447e-7,0.000009144703,0.99814594,0.001136992,0.00005396835],"study_design_scores_gemma":[0.00057919626,0.00020363978,0.00014477115,0.00015535812,0.000023985605,0.000023989229,0.00014236651,0.00009688365,0.000112806374,0.9975012,0.00078253745,0.00023328378],"about_ca_topic_score_codex":0.00022166708,"about_ca_topic_score_gemma":0.00016980412,"teacher_disagreement_score":0.01670835,"about_ca_system_score_codex":0.00007849739,"about_ca_system_score_gemma":0.00007082668,"threshold_uncertainty_score":0.99806213},"labels":[],"label_agreement":null},{"id":"W2939721630","doi":"10.1007/jhep08(2023)094","title":"Mock modularity and a secondary elliptic genus","year":2023,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministero dello Sviluppo Economico; Institut Périmètre de physique théorique; Industry Canada; Government of Canada","keywords":"Physics; Modular design; Genus; Modularity (biology); Theoretical physics; Pure mathematics; Field (mathematics); Mathematics; Computer science; Biology; Zoology; Evolutionary biology","score_opus":0.02094541040933001,"score_gpt":0.2515213826656024,"score_spread":0.2305759722562724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2939721630","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9908096,0.00020840895,0.0073830485,0.0001336863,0.0009263458,0.000025111114,0.0000032930561,0.00003160497,0.00047889084],"genre_scores_gemma":[0.9978607,0.00012424425,0.00071461493,0.000051742558,0.0008186912,0.0000012497509,0.0000013223215,0.000023685736,0.00040372362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911696,0.000038494934,0.0002918674,0.000102460115,0.00028136082,0.00016887723],"domain_scores_gemma":[0.99923736,0.00013919713,0.00025523463,0.00016574212,0.00011200918,0.00009043026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012847726,0.00012480043,0.00030260778,0.000052277173,0.00007400674,0.00003414866,0.00014963777,0.000071351446,0.00001508115],"category_scores_gemma":[0.000036014873,0.00010120566,0.00010917075,0.00018063757,0.000034973622,0.00014107459,0.00007538351,0.00020557496,0.0000020356279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018882143,0.000029827752,0.000019841344,0.000026229574,0.00009071135,0.000035310804,0.00012707204,0.00017082444,0.00006551689,0.9930495,0.0015324232,0.004833864],"study_design_scores_gemma":[0.00051004,0.00009400047,0.0003465475,0.000022091348,0.00005422966,0.000036332684,0.000028721164,0.0003988789,0.0010006757,0.9964798,0.0009203904,0.000108292596],"about_ca_topic_score_codex":0.000019917698,"about_ca_topic_score_gemma":0.0000015497795,"teacher_disagreement_score":0.0070511154,"about_ca_system_score_codex":0.000026057629,"about_ca_system_score_gemma":0.00006198517,"threshold_uncertainty_score":0.4127047},"labels":[],"label_agreement":null},{"id":"W2939810207","doi":"10.21136/cmj.2020.0476-19","title":"The module of vector-valued modular forms is Cohen-Macaulay","year":2020,"lang":"en","type":"preprint","venue":"Czechoslovak Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Rank (graph theory); Mathematics; Free module; Modular design; Holomorphic function; Combinatorics; Modular group; Modular form; Ring (chemistry); Pure mathematics; Algebra over a field; Computer science; Programming language; Chemistry","score_opus":0.04824500644653324,"score_gpt":0.3169563809357322,"score_spread":0.26871137448919896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2939810207","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71601623,0.0025547412,0.2559431,0.008862843,0.005871365,0.0029400198,0.00012490712,0.00038480436,0.007302038],"genre_scores_gemma":[0.9812563,0.00022186564,0.016592205,0.00024103429,0.0011542161,0.000058580747,0.0000050400085,0.00018923185,0.0002815103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9945016,0.00023815873,0.0020899475,0.0005938617,0.0018039953,0.000772468],"domain_scores_gemma":[0.9952941,0.0009962103,0.0011818156,0.0014808174,0.0005329753,0.00051408395],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0013451406,0.0007655274,0.0016068034,0.00011288966,0.0004859584,0.000430798,0.0021274125,0.000731431,0.0005120615],"category_scores_gemma":[0.0020890452,0.00046919633,0.0011830099,0.00023607566,0.00033882275,0.00012857508,0.0013558662,0.0029177666,0.00005329541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100627876,0.00016257558,0.0000066564703,0.0009810105,0.0007845522,0.000035112822,0.0014222759,0.000058382782,0.00029449345,0.9893395,0.006096311,0.0007185312],"study_design_scores_gemma":[0.00075319957,0.00013563156,0.000026239248,0.0006972703,0.00038424943,0.00016362533,0.00021693652,0.009170121,0.0029627194,0.98449004,0.000501299,0.00049868],"about_ca_topic_score_codex":0.0000031448837,"about_ca_topic_score_gemma":4.847372e-7,"teacher_disagreement_score":0.2652401,"about_ca_system_score_codex":0.00020343886,"about_ca_system_score_gemma":0.0003775934,"threshold_uncertainty_score":0.99977595},"labels":[],"label_agreement":null},{"id":"W2941640203","doi":"10.1007/s00031-022-09716-w","title":"POLYNOMIAL FUNCTORS AND TWO-PARAMETER QUANTUM SYMMETRIC PAIRS","year":2022,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Algorithm; Functor; Polynomial; Mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.026967579043983062,"score_gpt":0.26293742120546243,"score_spread":0.23596984216147937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2941640203","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99214065,0.00008823352,0.0045618485,0.00026673483,0.00087559345,0.0003322891,0.00001617187,0.00011641117,0.0016020844],"genre_scores_gemma":[0.9993586,0.0000071672475,0.0002451858,0.00015336808,0.00008918332,0.00006294445,0.000015948039,0.000021400667,0.00004619679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988274,0.00009383227,0.00033406084,0.00016323008,0.00036017774,0.00022128424],"domain_scores_gemma":[0.9994143,0.00023246314,0.00008691767,0.00016816227,0.000022627743,0.000075501506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000296461,0.00015137918,0.00020200221,0.00018322768,0.00033272227,0.000045764464,0.00013833765,0.000042849282,0.00027987195],"category_scores_gemma":[0.000036402707,0.0001400855,0.000087180124,0.00033067007,0.00003130257,0.00023766856,0.000039902206,0.0002242887,0.00000561555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012029979,0.000065505104,0.00013399475,0.00008016623,0.000047949066,0.0000017510154,0.004969191,0.000050397226,0.00009190476,0.9878613,0.0020057017,0.004571886],"study_design_scores_gemma":[0.0030718516,0.00037965708,0.0009889501,0.000007573315,0.000100900514,0.0000516491,0.0021167602,0.009320344,0.0003040611,0.97841406,0.004796919,0.0004473026],"about_ca_topic_score_codex":0.000039252966,"about_ca_topic_score_gemma":0.000002771414,"teacher_disagreement_score":0.009447223,"about_ca_system_score_codex":0.00007416879,"about_ca_system_score_gemma":0.000021948248,"threshold_uncertainty_score":0.5712521},"labels":[],"label_agreement":null},{"id":"W2942758249","doi":"10.4171/aihpd/114","title":"Self-duality of the $6j$-symbol and Fisher zeros for the tetrahedron","year":2022,"lang":"en","type":"article","venue":"Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Agence Nationale de la Recherche","keywords":"Tetrahedron; Duality (order theory); Symbol (formal); Mathematics; Arithmetic; Combinatorics; Computer science; Discrete mathematics; Geometry","score_opus":0.03153154347985627,"score_gpt":0.2793685721765928,"score_spread":0.24783702869673652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2942758249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98883593,0.00091826596,0.0037563879,0.0013864144,0.002397789,0.0010797429,0.00016149422,0.00007931266,0.0013846604],"genre_scores_gemma":[0.9989418,0.000120327975,0.00009817378,0.0002141142,0.00014146762,0.00022147316,0.0000055104338,0.000030376063,0.00022680317],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877197,0.00012750349,0.00032824138,0.0002698005,0.000224582,0.00027791655],"domain_scores_gemma":[0.99793994,0.0010702078,0.00026276137,0.00051849097,0.00013973584,0.000068842084],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00032678476,0.00023677986,0.00029838004,0.000033745146,0.0013506763,0.000079278674,0.00041066643,0.00005068858,0.000013826964],"category_scores_gemma":[0.000087820634,0.000153512,0.00022742905,0.00025106722,0.00016954493,0.00015747575,0.00044319572,0.00046946586,2.6080684e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003034596,0.0002874888,0.0010461102,0.00009969581,0.000236594,4.5633718e-7,0.0030168325,0.00004572051,0.00011579238,0.99260724,0.0015509925,0.00096271],"study_design_scores_gemma":[0.00058076443,0.00011143955,0.00060913886,0.000021214944,0.00012207174,0.000035226316,0.0015606179,0.0030814495,0.0008320992,0.96411455,0.0287466,0.00018482342],"about_ca_topic_score_codex":0.00007005289,"about_ca_topic_score_gemma":0.000015100482,"teacher_disagreement_score":0.028492708,"about_ca_system_score_codex":0.00010132938,"about_ca_system_score_gemma":0.00011690331,"threshold_uncertainty_score":0.99994946},"labels":[],"label_agreement":null},{"id":"W2944293328","doi":"10.1007/jhep08(2019)132","title":"(0,2) dualities and the 4-simplex","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Office of Science; Institut Périmètre de physique théorique; Aspen Center for Physics; High Energy Physics; University of California, Davis; U.S. Department of Energy; Princeton University; Okinawa Institute of Science and Technology Graduate University; National Science Foundation","keywords":"Context (archaeology); Duality (order theory); Algorithm; Simplex; Combinatorics; Geometry; Mathematics; Computer science; Machine learning; Artificial intelligence","score_opus":0.015794669344549876,"score_gpt":0.24691519992114652,"score_spread":0.23112053057659665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944293328","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918912,0.00026466476,0.004923267,0.00045234244,0.0010547482,0.000039432136,0.0000011364515,0.000008339952,0.0013648596],"genre_scores_gemma":[0.9981729,0.00006340929,0.00033846276,0.00019197282,0.00066459825,8.256067e-7,2.4227498e-7,0.00001315381,0.0005544594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927145,0.00006297804,0.00025373846,0.000058094924,0.00024949585,0.000104269566],"domain_scores_gemma":[0.99898475,0.00041637133,0.00030405258,0.00015917498,0.00010122941,0.000034415018],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001711464,0.0000924605,0.00028898325,0.000015841377,0.00004772213,0.00003643603,0.00015166313,0.000036520985,0.000029757522],"category_scores_gemma":[0.00003139947,0.000050020462,0.000104413935,0.000051937008,0.00007046103,0.000109730536,0.000049689075,0.00011784091,8.9544983e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007032571,0.0000122644215,0.000016171307,0.000010894029,0.00007296456,0.0000013700828,0.00029747345,0.000024839008,0.000007296962,0.9978458,0.0007555278,0.000885072],"study_design_scores_gemma":[0.0014338741,0.000056572822,0.000049712933,0.000017501228,0.000044311993,0.000025195128,0.0001394259,0.00003311351,0.0004770382,0.9957763,0.0018814438,0.00006549121],"about_ca_topic_score_codex":0.0000351182,"about_ca_topic_score_gemma":0.0000012128163,"teacher_disagreement_score":0.006281666,"about_ca_system_score_codex":0.000013452185,"about_ca_system_score_gemma":0.00003171117,"threshold_uncertainty_score":0.20397753},"labels":[],"label_agreement":null},{"id":"W2944701969","doi":"10.1007/jhep08(2019)178","title":"Notes on the D = 11 pure spinor superparticle","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Engineering and Physical Sciences Research Council; Fundação de Amparo à Pesquisa do Estado de São Paulo; U.S. Department of Energy","keywords":"Pure spinor; Spinor; Vertex (graph theory); Scalar (mathematics); Operator (biology); Zero mode; Measure (data warehouse); Spinor field","score_opus":0.02149946185395783,"score_gpt":0.2461330587110272,"score_spread":0.22463359685706938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944701969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99548596,0.000027943242,0.002138389,0.0011129736,0.00088000385,0.00003811647,0.0000010058163,0.000009962954,0.0003056483],"genre_scores_gemma":[0.998328,0.000008553013,0.00021891504,0.00041175654,0.0008636341,0.0000013776552,2.800793e-7,0.000021526595,0.00014597828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904895,0.000051570525,0.00026742098,0.00008774971,0.00037919194,0.00016509993],"domain_scores_gemma":[0.9988256,0.00045829872,0.0002457901,0.0002895713,0.00012652215,0.000054179643],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012520564,0.00013015591,0.0002555204,0.000018937144,0.00006244741,0.000039364866,0.00028354113,0.000052308063,0.00010311068],"category_scores_gemma":[0.0000742326,0.00007042971,0.00017026238,0.00010724918,0.000026234053,0.00011281715,0.000039534032,0.00017092959,0.000012053314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003025197,0.00007513143,0.00020853711,0.0000059920503,0.00005090074,0.000003603544,0.000104102284,0.0002843422,0.0003982958,0.99736583,0.0009589444,0.0005140822],"study_design_scores_gemma":[0.0004162195,0.00021118479,0.0002559893,0.000033413377,0.00003389255,0.00000963903,0.000043583063,0.00007997707,0.026249232,0.9718662,0.0007097721,0.00009090471],"about_ca_topic_score_codex":0.00002201571,"about_ca_topic_score_gemma":0.0000032591925,"teacher_disagreement_score":0.025850937,"about_ca_system_score_codex":0.000030851563,"about_ca_system_score_gemma":0.00004265678,"threshold_uncertainty_score":0.28720403},"labels":[],"label_agreement":null},{"id":"W2945274662","doi":"10.1088/1751-8121/ab226c","title":"Correspondence rules for Wigner functions over <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mstyle> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>U</mml:mi> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mstyle> </mml:math>","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Ciencia y Tecnología","keywords":"Product (mathematics); Wigner distribution function; Function (biology); Differential (mechanical device); Algebra over a field","score_opus":0.016013759844005705,"score_gpt":0.24772568033085665,"score_spread":0.23171192048685094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2945274662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.859931,0.001991031,0.011143193,0.0016871887,0.0069692265,0.00039942097,0.0013984633,0.0008133461,0.11566712],"genre_scores_gemma":[0.97558457,0.0012672603,0.007972473,0.0025279517,0.006791251,0.0021034563,0.0010092675,0.0021142468,0.0006295225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9755563,0.0013968566,0.0058455537,0.004204223,0.007140301,0.005856772],"domain_scores_gemma":[0.97801614,0.0076856995,0.00549665,0.004121085,0.0011029956,0.0035774254],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.005921515,0.0029564688,0.0017989664,0.0012963593,0.0038766214,0.0038057177,0.005437392,0.005490103,0.066812344],"category_scores_gemma":[0.005854683,0.0044731414,0.0058198697,0.0025186993,0.0057211965,0.0034356692,0.004379364,0.0056639407,0.0036494134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004244091,0.0015910862,0.00001448425,0.0027779567,0.0038990225,0.0011866891,0.002893436,0.00080578885,0.0034883516,0.8295667,0.14696877,0.0025636281],"study_design_scores_gemma":[0.0069796243,0.005916653,0.00004594371,0.0041468856,0.006424184,0.0058273557,0.0046117795,0.041415717,0.54027915,0.37288445,0.0062617855,0.0052064992],"about_ca_topic_score_codex":0.00060739723,"about_ca_topic_score_gemma":0.00027534142,"teacher_disagreement_score":0.5367908,"about_ca_system_score_codex":0.00011763035,"about_ca_system_score_gemma":0.0029268116,"threshold_uncertainty_score":0.9999437},"labels":[],"label_agreement":null},{"id":"W2945446110","doi":"10.1007/s10468-020-09985-7","title":"From the Potential to the First Hochschild Cohomology Group of a Cluster Tilted Algebra","year":2020,"lang":"en","type":"preprint","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Champlain Regional College; Université de Sherbrooke","funders":"Agencia Nacional de Promoción Científica y Tecnológica; Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke","keywords":"Cohomology; Mathematics; Group (periodic table); Dimension (graph theory); Group cohomology; Algebra over a field; Pure mathematics; Invariant (physics); Cluster (spacecraft); Interpretation (philosophy); Space (punctuation); Physics; Computer science; Quantum mechanics; Mathematical physics","score_opus":0.02217715617789189,"score_gpt":0.2840092460949748,"score_spread":0.2618320899170829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2945446110","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92376363,0.001279711,0.040598057,0.027730664,0.0036330973,0.002286597,0.00013937168,0.000115110844,0.00045373736],"genre_scores_gemma":[0.99432987,0.00009938656,0.00079503533,0.0025947588,0.001806629,0.00013362688,0.00008873709,0.000059310165,0.00009262846],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972835,0.000640346,0.0006626476,0.0007089533,0.0004446213,0.00025991723],"domain_scores_gemma":[0.9962847,0.0018730151,0.0005100136,0.0011007435,0.00011904132,0.000112440845],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005599257,0.00037409348,0.00058969465,0.00005562681,0.00030860733,0.00012481111,0.000883014,0.00034912757,0.00018140895],"category_scores_gemma":[0.0005707284,0.00021454404,0.00027646683,0.00018111845,0.00030496944,0.000055846936,0.001668329,0.00067565637,0.000013517173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005443268,0.00006237977,0.00028741066,0.00008731029,0.0007450552,0.0000067828632,0.008878383,0.00024383252,0.00007854918,0.97507066,0.01241058,0.0015847107],"study_design_scores_gemma":[0.00064742746,0.000071798684,0.0045108423,0.00008546603,0.0003840264,0.00001106417,0.0011898429,0.00035197055,0.00021840882,0.9916491,0.00063354813,0.00024648505],"about_ca_topic_score_codex":0.0005318036,"about_ca_topic_score_gemma":0.00007374652,"teacher_disagreement_score":0.07056624,"about_ca_system_score_codex":0.000022411727,"about_ca_system_score_gemma":0.000056738943,"threshold_uncertainty_score":0.8748852},"labels":[],"label_agreement":null},{"id":"W2946322323","doi":"10.1007/jhep11(2019)076","title":"The S-matrix bootstrap IV: multiple amplitudes","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Science and Technology Facilities Council; Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation; Government of Canada; Institut Périmètre de physique théorique; National Centres of Competence in Research SwissMAP; CERN; Simons Foundation","keywords":"Unitarity; Crossing; Ising model; Scattering amplitude; Conformal map; Coupling (piping); Amplitude; Integrable system; Space (punctuation); Parameter space","score_opus":0.021812648778282064,"score_gpt":0.277179555240391,"score_spread":0.25536690646210897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2946322323","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92857355,0.0008159151,0.06481531,0.0003481448,0.004438883,0.00010789331,0.0000033744652,0.000034884564,0.00086202135],"genre_scores_gemma":[0.99734825,0.00008499664,0.00089225423,0.000050634517,0.0009919518,0.0000016625938,5.700982e-7,0.000026949481,0.0006027498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877197,0.000053184027,0.00041987022,0.000100887155,0.0004371171,0.00021698684],"domain_scores_gemma":[0.9981953,0.0006996565,0.00051318307,0.0003208008,0.00019999806,0.000071067436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017802193,0.0001522361,0.0003122135,0.000022265689,0.00011569882,0.00006919796,0.0004041344,0.00006785338,0.00002104572],"category_scores_gemma":[0.00006776668,0.000090428926,0.00023183141,0.00010096368,0.000041769188,0.0001545086,0.000058864007,0.00021222474,0.000005415806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005683002,0.00004933957,0.000110311805,0.000010503303,0.000118257005,0.0000032042096,0.00006507039,0.00019678847,0.00018739127,0.99639446,0.0010753748,0.0017324524],"study_design_scores_gemma":[0.00069735834,0.00012669686,0.00022186764,0.000026667683,0.000039699073,0.00001701528,0.000057044897,0.00006694967,0.001974216,0.99278915,0.003869385,0.000113953734],"about_ca_topic_score_codex":0.000029092795,"about_ca_topic_score_gemma":0.0000051267716,"teacher_disagreement_score":0.06877466,"about_ca_system_score_codex":0.000044399552,"about_ca_system_score_gemma":0.000071382674,"threshold_uncertainty_score":0.36875847},"labels":[],"label_agreement":null},{"id":"W2948065020","doi":"10.1088/1751-8121/ab433f","title":"Centralizers of the superalgebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mstyle> <mml:mrow> <mml:mi>o</mml:mi> <mml:mi>s</mml:mi> <mml:mi>p</mml:mi> </mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mrow> <mml:mo>|</mml:mo> </mml:mrow> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mstyle> </mml:math> : the Brauer algebra as a quotient of the Bannai–Ito algebra <sup>*</sup>","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; Centre de Recherches Mathématiques; American Heart Association","keywords":"Quotient; Isomorphism (crystallography); Tensor product; Algebra over a field; Product (mathematics); Conjecture; Lie superalgebra; Tensor (intrinsic definition)","score_opus":0.01243917652113932,"score_gpt":0.23263133122608362,"score_spread":0.2201921547049443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948065020","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8525144,0.0010701948,0.0015122698,0.0021742752,0.0033741815,0.00018935784,0.00044355818,0.00024983325,0.13847196],"genre_scores_gemma":[0.9882302,0.0008527324,0.0025407656,0.0023937672,0.0033598903,0.00084936543,0.00031082158,0.0012164732,0.0002459455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9822357,0.0013476828,0.004263711,0.0024544112,0.005841095,0.0038573986],"domain_scores_gemma":[0.9846642,0.004894734,0.00410959,0.0036984915,0.0006272957,0.0020056686],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0042750216,0.0018153207,0.0011109294,0.00061276124,0.0023299349,0.0020188761,0.0050174445,0.003325908,0.12922415],"category_scores_gemma":[0.003874968,0.002409372,0.0047394396,0.0019399226,0.0054311147,0.0019041519,0.0039018732,0.004055393,0.0011433742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0020469802,0.0010265168,0.000015092857,0.0020078637,0.003149916,0.0005039508,0.0050357184,0.00074901374,0.0019795496,0.85825384,0.12392855,0.0013029882],"study_design_scores_gemma":[0.0037841408,0.0028881382,0.000046307163,0.002829051,0.0036725572,0.0028918486,0.0046460587,0.017088804,0.73774415,0.22022521,0.001785769,0.0023979486],"about_ca_topic_score_codex":0.0005616696,"about_ca_topic_score_gemma":0.00015362896,"teacher_disagreement_score":0.7357646,"about_ca_system_score_codex":0.000051087525,"about_ca_system_score_gemma":0.0022181643,"threshold_uncertainty_score":0.9996343},"labels":[],"label_agreement":null},{"id":"W2948413349","doi":"10.1007/jhep11(2019)111","title":"High electric charges in M-theory from quiver varieties","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Weizmann Institute of Science; Aspen Center for Physics; Stony Brook University; National Science Foundation","keywords":"Multiplet; Quiver; Charge (physics); Abelian group; Resolution (logic); Construct (python library); Electric charge","score_opus":0.009027402421170179,"score_gpt":0.2271745065219537,"score_spread":0.21814710410078353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948413349","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98673904,0.00029578817,0.011007877,0.00006208673,0.0015993562,0.000035234436,0.0000024933133,0.000012694082,0.00024541724],"genre_scores_gemma":[0.9976437,0.00008842518,0.0007991125,0.000112739166,0.00097318843,0.0000015368254,0.000002111424,0.00003079567,0.0003483842],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873877,0.000106697844,0.0004206444,0.00013605713,0.00038422734,0.00021361241],"domain_scores_gemma":[0.99871254,0.0004230849,0.00044625133,0.00023148552,0.00013037094,0.0000562675],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016951472,0.00017547523,0.0004882162,0.00008497445,0.000029996434,0.00003100634,0.000292844,0.000110663124,0.00017413606],"category_scores_gemma":[0.00004095379,0.00013897246,0.00014673005,0.00020064195,0.000020108904,0.00021906868,0.00004753581,0.0002778038,0.0000069561183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012917211,0.000101505866,0.0001513195,0.000009206675,0.00010967183,0.000010057857,0.00023295906,0.00019200791,0.00050454325,0.99707973,0.0003858205,0.0010939848],"study_design_scores_gemma":[0.0009594923,0.00016204113,0.0007694982,0.00003734866,0.000048525875,0.000004518908,0.000044604167,0.000034179862,0.009240907,0.98835033,0.00019045612,0.00015808534],"about_ca_topic_score_codex":0.00019186539,"about_ca_topic_score_gemma":0.00000433736,"teacher_disagreement_score":0.010904654,"about_ca_system_score_codex":0.000081342674,"about_ca_system_score_gemma":0.00008351171,"threshold_uncertainty_score":0.5667133},"labels":[],"label_agreement":null},{"id":"W2949066003","doi":"10.48550/arxiv.0803.3980","title":"The KP hierarchy, branched covers, and triangulations","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hierarchy; Combinatorics; Mathematics; Geology; Computer science; Geography; Political science","score_opus":0.08089055208292537,"score_gpt":0.3130425918935915,"score_spread":0.23215203981066615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949066003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99351466,0.00090517267,0.000623359,0.0009063183,0.0017713057,0.00054558244,0.000016107482,0.00010697315,0.0016105489],"genre_scores_gemma":[0.99665993,0.0008681209,0.00034275456,0.00010172657,0.000592391,0.000057033707,0.000015102807,0.000045762896,0.0013171806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985451,0.000116729585,0.00038923763,0.00039121788,0.00027336957,0.0002843323],"domain_scores_gemma":[0.9979983,0.0007525554,0.00024922736,0.0008137918,0.00008836814,0.00009777969],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021494337,0.00028684616,0.00038436832,0.000045716068,0.00047873295,0.000081371436,0.0003774562,0.0003225332,0.000035165045],"category_scores_gemma":[0.00046095677,0.00020727093,0.00017265546,0.000088825145,0.00015170134,0.00005082498,0.0005372329,0.0006159622,0.000012839567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014160619,0.00008902508,0.030196114,0.000164917,0.0005327336,0.000023045899,0.0029528865,0.00009634293,0.00007233557,0.95159125,0.012027044,0.002112697],"study_design_scores_gemma":[0.0007084029,0.000023371189,0.021883737,0.000049560967,0.0000824546,0.000011745055,0.000056986955,0.00017591874,0.00008143475,0.97072875,0.0059226574,0.0002749863],"about_ca_topic_score_codex":0.00005964135,"about_ca_topic_score_gemma":0.000015913425,"teacher_disagreement_score":0.01913749,"about_ca_system_score_codex":0.000060522692,"about_ca_system_score_gemma":0.00014307733,"threshold_uncertainty_score":0.8452263},"labels":[],"label_agreement":null},{"id":"W2949173132","doi":"10.48550/arxiv.0708.4070","title":"The Loewy length of the descent algebra of type D","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Type (biology); Descent (aeronautics); Mathematics; Algebra over a field; Psychology; Pure mathematics; Geology; Physics; Paleontology","score_opus":0.0806218552781054,"score_gpt":0.31673615385302245,"score_spread":0.23611429857491706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949173132","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9935254,0.0007781463,0.00015665997,0.00021581171,0.0033789505,0.0004618869,0.000005972255,0.000028050112,0.0014491648],"genre_scores_gemma":[0.99887675,0.00018435126,0.000167143,0.00005446361,0.00025881358,0.000008199195,0.000001871618,0.000041381903,0.00040704984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824685,0.00010452466,0.0006323559,0.00027296648,0.00046562435,0.0002776671],"domain_scores_gemma":[0.99706405,0.0004896597,0.0006770174,0.0014390257,0.00028144746,0.000048823997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005076072,0.00026297854,0.0004381502,0.000034530214,0.00012572376,0.000015826925,0.0010795029,0.0003198953,0.000048704387],"category_scores_gemma":[0.00053269026,0.00014421435,0.0003020102,0.00016418121,0.00019136861,0.00001966668,0.0010019025,0.0006412032,0.0000064693168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001173297,0.00015796452,0.051737614,0.0004861983,0.0004555904,0.0000022512284,0.0011542971,0.000048321617,0.00028406526,0.942191,0.0019966702,0.0013686948],"study_design_scores_gemma":[0.0002904306,0.00005318436,0.030057142,0.00025522884,0.00016785716,0.000002466356,0.00014156918,0.000048758073,0.00913902,0.9584299,0.0011970386,0.00021745183],"about_ca_topic_score_codex":0.000081311155,"about_ca_topic_score_gemma":0.000022295924,"teacher_disagreement_score":0.021680472,"about_ca_system_score_codex":0.00006281463,"about_ca_system_score_gemma":0.00019521381,"threshold_uncertainty_score":0.58808905},"labels":[],"label_agreement":null},{"id":"W2949248481","doi":"10.48550/arxiv.math/0502561","title":"The centroid of extended affine and root graded Lie algebras","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Affine transformation; Affine Lie algebra; Mathematics; Centroid; Adjoint representation of a Lie algebra; Pure mathematics; Lie algebra; Killing form; Lie conformal algebra; Kac–Moody algebra; Representation of a Lie group; Root (linguistics); Lie theory; Algebra over a field; Current algebra; Linguistics; Geometry; Philosophy","score_opus":0.04495268473795062,"score_gpt":0.2951293849916714,"score_spread":0.2501767002537208,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949248481","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99431723,0.0022201515,0.000097993085,0.00081556523,0.001268169,0.00051571615,0.000010027569,0.00008690613,0.00066822005],"genre_scores_gemma":[0.9976005,0.00041689855,0.00034745986,0.00005024625,0.0007585516,0.000039202016,0.0000095157175,0.00006113435,0.000716468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802226,0.000099532124,0.00062633934,0.00048528024,0.00037181884,0.0003948003],"domain_scores_gemma":[0.9977596,0.00044933215,0.00051120174,0.001040287,0.00012383536,0.00011574445],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00028026808,0.00040069464,0.00061364553,0.000054444972,0.00018057783,0.000057966132,0.0006172117,0.00035510794,0.00008427968],"category_scores_gemma":[0.000361553,0.00028081166,0.00021701885,0.00008811247,0.00015368492,0.00004633092,0.00087487366,0.00065430795,0.0000078157855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000121257195,0.00018470948,0.015190909,0.0003174364,0.00043907348,0.000008409377,0.0008622835,0.000015235873,0.0004676779,0.97726417,0.001820155,0.0033086992],"study_design_scores_gemma":[0.0006927631,0.000054548025,0.04036917,0.00011191027,0.00015827658,0.000007769514,0.00007493721,0.000055525146,0.0021902572,0.95480096,0.001166776,0.0003170959],"about_ca_topic_score_codex":0.000041202216,"about_ca_topic_score_gemma":0.000055583634,"teacher_disagreement_score":0.025178263,"about_ca_system_score_codex":0.00005917182,"about_ca_system_score_gemma":0.00010504376,"threshold_uncertainty_score":0.9999644},"labels":[],"label_agreement":null},{"id":"W2949356049","doi":"10.48550/arxiv.1308.4932","title":"Jack polynomials with prescribed symmetry and some of their clustering properties","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Order (exchange); Symmetric function; Uniqueness; Complete homogeneous symmetric polynomial; Schur polynomial; Combinatorics; Disjoint sets; Type (biology); Symmetry (geometry); Eigenfunction; Elementary symmetric polynomial; Ring of symmetric functions; Symmetric polynomial; Macdonald polynomials; Pure mathematics; Classical orthogonal polynomials; Orthogonal polynomials; Eigenvalues and eigenvectors; Mathematical analysis; Polynomial; Physics; Quantum mechanics","score_opus":0.09717238744349913,"score_gpt":0.18849841254355404,"score_spread":0.09132602510005491,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949356049","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9967449,0.000267299,0.0015207732,0.000023255345,0.00028037195,0.0005608513,0.000012465114,0.00007266412,0.0005174299],"genre_scores_gemma":[0.99859816,0.00011745549,0.00028133963,0.0000179955,0.000099198616,0.0000023524753,0.0000023815921,0.000040897485,0.0008402031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988243,0.00008232694,0.00023709243,0.0005276172,0.00008064203,0.00024800698],"domain_scores_gemma":[0.99868,0.000105732295,0.0003406244,0.0006453798,0.00012628289,0.00010197686],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00010384151,0.00033888957,0.0005844918,0.00012795198,0.000077298886,0.000051075385,0.00042920228,0.00028403167,0.000029531824],"category_scores_gemma":[0.000034585748,0.00026319543,0.000109484645,0.00010226566,0.00019925243,0.00019049487,0.0009921768,0.00033511454,0.000002288579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038992398,0.000111611,0.0012686868,0.0017650892,0.0006720775,0.000023946466,0.0017117183,0.0038391976,0.00047546718,0.98935205,0.00018281235,0.00020744512],"study_design_scores_gemma":[0.00089675037,0.00013079599,0.000316488,0.00055221235,0.0002260339,0.000004969676,0.0005253861,0.011914088,0.002332444,0.9825921,0.000026924374,0.00048177494],"about_ca_topic_score_codex":0.0002952984,"about_ca_topic_score_gemma":0.000018656323,"teacher_disagreement_score":0.008074891,"about_ca_system_score_codex":0.00006584645,"about_ca_system_score_gemma":0.0000916075,"threshold_uncertainty_score":0.999982},"labels":[],"label_agreement":null},{"id":"W2949453854","doi":"10.48550/arxiv.1004.4114","title":"Monoidality of Franke's Exotic Model","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Geology; Pure mathematics; Geography","score_opus":0.1529409465043602,"score_gpt":0.22120747461586704,"score_spread":0.06826652811150685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949453854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9139781,0.000021715821,0.0817526,0.000017581853,0.0007936834,0.00030360025,0.00003119443,0.000103623395,0.0029979185],"genre_scores_gemma":[0.99734557,0.000030427047,0.001551029,0.000014432421,0.00010146355,9.04344e-7,0.000007400325,0.00003983259,0.00090896623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851024,0.00007361884,0.00032446012,0.0006778256,0.00012895762,0.00028487737],"domain_scores_gemma":[0.9977053,0.00015964202,0.00044419392,0.0013402625,0.00021028313,0.00014034155],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020617916,0.00035140297,0.0006194096,0.00012703011,0.000081031336,0.000021271697,0.0009003601,0.0007460109,0.00009999276],"category_scores_gemma":[0.0001147725,0.0003795646,0.00037324912,0.0001675208,0.00016819118,0.000086249725,0.0009070155,0.0010299025,0.00000749491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048877857,0.00012222135,0.0002632217,0.00025037306,0.00010596819,0.000022828957,0.0001586093,0.0565666,0.0000629757,0.9422568,0.000109193206,0.00003232434],"study_design_scores_gemma":[0.0004273972,0.000016040918,0.000090067646,0.000046161324,0.00018156097,0.0000011533546,0.000039265007,0.21708743,0.00023416104,0.78159267,0.000008655999,0.00027545268],"about_ca_topic_score_codex":0.00013848192,"about_ca_topic_score_gemma":0.000038197784,"teacher_disagreement_score":0.16066416,"about_ca_system_score_codex":0.000083739986,"about_ca_system_score_gemma":0.00021084335,"threshold_uncertainty_score":0.99986565},"labels":[],"label_agreement":null},{"id":"W2949466301","doi":"","title":"Tensor product weight modules over the Virasoro algebra","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Verma module; Virasoro algebra; Tensor product; Irreducibility; Tensor product of modules; Tensor (intrinsic definition); Mathematics; Pure mathematics; Tensor product of Hilbert spaces; Algebra over a field; Simple (philosophy); Tensor product of algebras; Simple module; Tensor algebra; Tensor contraction; Algebra representation; Cellular algebra; Lie algebra","score_opus":0.02120838033179623,"score_gpt":0.26213703010213485,"score_spread":0.24092864977033862,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949466301","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9819802,0.00013947097,0.0027092192,0.004199978,0.0011115255,0.00041519274,0.000004338847,0.00020832692,0.009231763],"genre_scores_gemma":[0.98936945,0.000022613513,0.000987374,0.0003020503,0.0006761924,0.000029347244,2.9308669e-7,0.00003211725,0.008580541],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988611,0.00005209559,0.00022264995,0.00028785956,0.00029899675,0.00027729594],"domain_scores_gemma":[0.9987315,0.00034837707,0.00007902628,0.00071946904,0.00006513025,0.000056485533],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00016847925,0.00017942845,0.0001867824,0.00002564159,0.00012976101,0.000035896224,0.00035826513,0.000061545456,0.0015110158],"category_scores_gemma":[0.00026802986,0.00006832956,0.000103318926,0.00008830532,0.00009289424,0.00012194683,0.00010927172,0.00008159851,0.000086322536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012492516,0.000025775453,0.00030962724,0.000007400854,0.000039506835,0.0000010947549,0.00007374375,1.0151766e-7,0.0007999265,0.97297853,0.021086378,0.004665412],"study_design_scores_gemma":[0.00041599775,0.000025551262,0.0029327362,0.000016918246,0.00002536633,0.0000066001917,0.000016505812,0.00001478304,0.0057882974,0.97803897,0.012556487,0.00016179553],"about_ca_topic_score_codex":0.000017741302,"about_ca_topic_score_gemma":0.000006336426,"teacher_disagreement_score":0.008529891,"about_ca_system_score_codex":0.000030870273,"about_ca_system_score_gemma":0.000021841,"threshold_uncertainty_score":0.99940175},"labels":[],"label_agreement":null},{"id":"W2949613939","doi":"","title":"A commutant realization of Odake’s algebra","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Centralizer and normalizer; Combinatorics; Mathematics; Vertex operator algebra; Realization (probability); Vertex (graph theory); Product (mathematics); Lie algebra; Algebra over a field; Current algebra; Physics; Pure mathematics; Graph; Geometry; Jordan algebra","score_opus":0.03847500515590078,"score_gpt":0.2962181592117968,"score_spread":0.257743154055896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949613939","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83863705,0.000032941476,0.13766898,0.000501924,0.0004453654,0.00023221294,0.0000061647756,0.00014122514,0.022334121],"genre_scores_gemma":[0.99818707,0.000011045362,0.00097046344,0.00003764708,0.00004381318,0.0000037724537,5.264645e-7,0.000011370587,0.0007343107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943405,0.000026408812,0.00020683407,0.00008738222,0.00014761588,0.00009770832],"domain_scores_gemma":[0.9993662,0.00017604687,0.00008873881,0.00027200868,0.00006608716,0.000030883388],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000091440255,0.000068336056,0.00014027893,0.000026180376,0.000023155002,0.0000044533167,0.000119006734,0.000050997765,0.0004811034],"category_scores_gemma":[0.00013904739,0.000037048605,0.000044309556,0.000067277266,0.000032913056,0.00005174259,0.000041590767,0.000020246125,0.000006162724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009808355,0.000019022767,0.00018766549,0.000012029006,0.000012952713,3.0157338e-7,0.00009302478,8.0741096e-8,0.0012761882,0.99519074,0.0013920972,0.0018061018],"study_design_scores_gemma":[0.00036620666,0.00003913529,0.00016739948,0.00003108324,0.000010872447,0.0000021361373,0.000023115077,0.000011671836,0.009187654,0.9896744,0.00042307685,0.000063283405],"about_ca_topic_score_codex":0.00002339692,"about_ca_topic_score_gemma":0.000009578476,"teacher_disagreement_score":0.15955,"about_ca_system_score_codex":0.000016655014,"about_ca_system_score_gemma":0.000018272753,"threshold_uncertainty_score":0.5267745},"labels":[],"label_agreement":null},{"id":"W2949645514","doi":"10.48550/arxiv.0808.2628","title":"Liberation of orthogonal Lie groups","year":2008,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Bijection; Mathematics; Classical group; Representation theory; Pure mathematics; Combinatorics; Quantum; Group (periodic table); Lie group; Representation (politics); Algebra over a field; Physics; Quantum mechanics","score_opus":0.10958587112365462,"score_gpt":0.2071412550970887,"score_spread":0.09755538397343408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949645514","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97383016,0.000035092155,0.021559363,0.00001476063,0.00079645566,0.00024418428,0.000016542672,0.000086563006,0.003416892],"genre_scores_gemma":[0.99812347,0.00020596269,0.00051821576,0.000016920712,0.0001936985,6.922689e-7,0.00002282327,0.000029198376,0.0008889961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988449,0.00007855743,0.00026832518,0.0004939846,0.000117910575,0.00019627118],"domain_scores_gemma":[0.99859023,0.0001449942,0.00037478833,0.0006332769,0.00016993377,0.00008678364],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00009256763,0.00025877103,0.00042119157,0.00012612368,0.000090039925,0.00001486291,0.00043998138,0.00039032078,0.000100802856],"category_scores_gemma":[0.00006117014,0.0002842421,0.0002704288,0.00018706519,0.00010872562,0.00009424844,0.000497381,0.00042518365,0.0000093525205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057544665,0.00008058579,0.00054149237,0.00012379057,0.00011016769,0.00005102118,0.00023250573,0.005339787,0.000013497253,0.99292296,0.0004500915,0.00007656721],"study_design_scores_gemma":[0.00043553364,0.000043997858,0.00037961462,0.0000690028,0.000115568866,0.0000050873064,0.00003833239,0.0055241175,0.00017408075,0.99285096,0.00009539279,0.00026829712],"about_ca_topic_score_codex":0.00003282661,"about_ca_topic_score_gemma":0.000011938418,"teacher_disagreement_score":0.024293346,"about_ca_system_score_codex":0.00009472721,"about_ca_system_score_gemma":0.00016906601,"threshold_uncertainty_score":0.99996096},"labels":[],"label_agreement":null},{"id":"W2949695601","doi":"10.48550/arxiv.0811.1574","title":"The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Quiver; Algebra over a field; Mathematics; Homology (biology); Descent (aeronautics); Pure mathematics; Genetics; Biology; Physics; Amino acid","score_opus":0.03626532726653026,"score_gpt":0.2764837175123144,"score_spread":0.24021839024578412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949695601","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9940906,0.0010084071,0.0002527972,0.0021117702,0.0010485493,0.0012222923,0.000029464072,0.000047329606,0.0001887526],"genre_scores_gemma":[0.99801034,0.0007707857,0.00016316731,0.00032526767,0.00023490394,0.000094050825,0.00001413996,0.00006659986,0.00032072118],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99677414,0.0007636394,0.0008746999,0.00054780644,0.0005668465,0.00047288474],"domain_scores_gemma":[0.99559456,0.00120405,0.00089329056,0.0018681398,0.00032935938,0.00011061941],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012638054,0.00045766623,0.00092482555,0.00006449485,0.00041567162,0.000043530246,0.001444318,0.0005024307,0.000022331837],"category_scores_gemma":[0.00075155305,0.00022564291,0.00033496748,0.00020501575,0.0007334365,0.00005597637,0.0014373162,0.00082390907,0.0000048761726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009483004,0.00044575884,0.015625842,0.00031252002,0.002484478,0.000036919228,0.017077124,0.00018025741,0.0003508507,0.9535429,0.007302746,0.0016923047],"study_design_scores_gemma":[0.0018427619,0.00020337247,0.050276935,0.00020992386,0.00052502466,0.00004594989,0.0007521358,0.00034048618,0.0021754203,0.9424237,0.0007533845,0.0004508985],"about_ca_topic_score_codex":0.00040783553,"about_ca_topic_score_gemma":0.00015809538,"teacher_disagreement_score":0.034651093,"about_ca_system_score_codex":0.000084238956,"about_ca_system_score_gemma":0.00012292937,"threshold_uncertainty_score":0.9201451},"labels":[],"label_agreement":null},{"id":"W2949826948","doi":"10.1007/jhep06(2019)024","title":"Unitary and non-unitary N = 2 minimal models","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; University of Melbourne","keywords":"Minimal models; Unitary state; Coset; Minimal model; Type (biology); String theory; String (physics); Fusion rules","score_opus":0.015115647909926935,"score_gpt":0.23045063984637426,"score_spread":0.21533499193644734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949826948","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9825245,0.00018480002,0.015111755,0.000090607355,0.00085583347,0.00003748521,0.000002683927,0.000010094539,0.001182246],"genre_scores_gemma":[0.995619,0.00007754459,0.0031933228,0.00014745707,0.00070705044,8.545665e-7,0.0000016540968,0.000031400843,0.00022172801],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989693,0.00003807991,0.00035758445,0.00011992674,0.00033308813,0.00018197902],"domain_scores_gemma":[0.99900913,0.00017700621,0.00031051255,0.00022017986,0.00017686105,0.000106303625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010671787,0.00017162092,0.00040116507,0.00005576079,0.00005003254,0.000025154171,0.00021286719,0.00008835924,0.000022760823],"category_scores_gemma":[0.0000110832525,0.00013569392,0.00012093737,0.000108129665,0.000036282825,0.00037199305,0.00008402194,0.00021553035,0.0000015533475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000072921684,0.00006508103,0.000048116806,0.000027697153,0.00011168673,0.000015315823,0.00019758752,0.0009702411,0.00009920543,0.99658626,0.00087713974,0.0009287534],"study_design_scores_gemma":[0.0008730584,0.00027529022,0.00011460965,0.000052397285,0.000069367474,0.000045725938,0.00009645142,0.0014353733,0.0008135366,0.99591964,0.00014635798,0.00015821366],"about_ca_topic_score_codex":0.000048507776,"about_ca_topic_score_gemma":0.0000016625529,"teacher_disagreement_score":0.013094493,"about_ca_system_score_codex":0.000029886936,"about_ca_system_score_gemma":0.000074915624,"threshold_uncertainty_score":0.5533437},"labels":[],"label_agreement":null},{"id":"W2949925747","doi":"10.48550/arxiv.1403.5251","title":"Meromorphic tensor equivalence for Yangians and quantum loop algebras","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Yangian; Tensor product; Mathematics; Abelian group; Functor; Pure mathematics; Meromorphic function; Subalgebra; Tensor (intrinsic definition); Subcategory; Commutative property; Combinatorics; Algebra over a field","score_opus":0.12629149211689195,"score_gpt":0.23185183085772015,"score_spread":0.10556033874082821,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949925747","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9167964,0.00010484919,0.08077555,0.000094950505,0.0009876752,0.0007131513,0.00004799882,0.00016627538,0.000313157],"genre_scores_gemma":[0.99738467,0.00012435312,0.0006235509,0.00007817415,0.00023710968,0.000004694773,0.000015215982,0.00006552629,0.0014667311],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980907,0.000107680826,0.00027398983,0.0009747,0.00010793452,0.00044498526],"domain_scores_gemma":[0.99784726,0.0005306097,0.00034633005,0.0008859102,0.00019006459,0.00019984863],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002915901,0.00044291842,0.0006393829,0.00014088498,0.00019989816,0.00006790647,0.0006693821,0.00050453626,0.000062368825],"category_scores_gemma":[0.00023800613,0.00046376642,0.00027879534,0.00014074305,0.00020695562,0.00009264059,0.00074085715,0.00045150536,0.000012639702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008397309,0.000043705215,0.00030466478,0.000491422,0.00015339478,0.00002538306,0.00012743841,0.0010227555,0.00002882854,0.9969841,0.00066454185,0.000069790985],"study_design_scores_gemma":[0.0008279892,0.00011627954,0.0001463878,0.00016099332,0.0003805231,0.000006501159,0.0000916184,0.0473325,0.00006398028,0.9501384,0.00021610786,0.00051875104],"about_ca_topic_score_codex":0.00006487628,"about_ca_topic_score_gemma":0.000016791386,"teacher_disagreement_score":0.08058825,"about_ca_system_score_codex":0.00009544186,"about_ca_system_score_gemma":0.000103509,"threshold_uncertainty_score":0.9997814},"labels":[],"label_agreement":null},{"id":"W2950000083","doi":"10.48550/arxiv.1108.4045","title":"Character-theoretic Techniques for Near-central Enumerative Problems","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Centralizer and normalizer; Combinatorics; Factorization; Mathematics; Enumeration; Genus; Cluster algebra; Character (mathematics); Algebra over a field; Pure mathematics; Physics; Geometry; Algorithm","score_opus":0.09911985963071701,"score_gpt":0.21737690462411635,"score_spread":0.11825704499339934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950000083","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7851834,0.000058534373,0.20407298,0.000051154002,0.0017566833,0.003113137,0.000097295735,0.0006031894,0.005063596],"genre_scores_gemma":[0.9958749,0.000066355766,0.0025200217,0.00004331226,0.00026095763,0.000020123258,0.000033399094,0.00006879384,0.0011121355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822414,0.000101539736,0.0002825535,0.00081906846,0.000079462145,0.0004932142],"domain_scores_gemma":[0.99827355,0.00017490791,0.00040716087,0.0007701392,0.00021721148,0.00015699991],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00018069423,0.00044399762,0.0005534291,0.00009212803,0.00020201644,0.00008462562,0.0007169585,0.0005392931,0.00015370279],"category_scores_gemma":[0.00008605221,0.0004535278,0.0003766509,0.00012822411,0.00022563722,0.00013295555,0.00052922737,0.00056605245,0.000008992524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011010587,0.00010244417,0.00012015792,0.00033444553,0.00016521529,0.000015076091,0.00095711846,0.00012762917,0.000017101222,0.9976174,0.00025757332,0.00017569885],"study_design_scores_gemma":[0.00043806512,0.00013296152,0.000047527275,0.00017820242,0.00025220113,0.0000023144542,0.000054785734,0.0038086257,0.0009888165,0.99307597,0.00052028365,0.0005002462],"about_ca_topic_score_codex":0.00006403264,"about_ca_topic_score_gemma":0.000010369416,"teacher_disagreement_score":0.21069147,"about_ca_system_score_codex":0.00018514937,"about_ca_system_score_gemma":0.00019424438,"threshold_uncertainty_score":0.9997916},"labels":[],"label_agreement":null},{"id":"W2950029516","doi":"10.1007/s00220-020-03747-8","title":"Braided Tensor Categories Related to $${\\mathcal {B}}_{p}$$ Vertex Algebras","year":2020,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Vertex operator algebra; Operator algebra; Vertex (graph theory); Symplectic geometry; Tensor (intrinsic definition); Parameterized complexity; Operator (biology); Quantum group; Tensor product","score_opus":0.0995252455706306,"score_gpt":0.3548279501841166,"score_spread":0.25530270461348603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950029516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.787029,0.0005186997,0.066584796,0.062437054,0.00072048994,0.0043676444,0.000045173507,0.0017600612,0.07653702],"genre_scores_gemma":[0.96530473,0.000016471564,0.033393364,0.0009054189,0.00005572534,0.0001220361,0.000013321698,0.00006875421,0.00012015638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99792075,0.00018932522,0.0007904379,0.0003551268,0.00036745073,0.00037692764],"domain_scores_gemma":[0.99615264,0.001351151,0.00014353056,0.0019532538,0.00013397883,0.0002654197],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00025026963,0.0002974007,0.00059197214,0.000052558404,0.00019334514,0.00007705538,0.001624715,0.00016580119,0.0001277509],"category_scores_gemma":[0.0019162092,0.00027525157,0.00015215011,0.0008631157,0.0002259232,0.00017739771,0.0008705372,0.00059282884,0.00040029403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015038701,0.00022703427,0.000077743,0.00008329162,0.000036850586,0.0000019859335,0.0045401896,0.000021368262,0.00008952559,0.9922382,0.0012814522,0.0013872677],"study_design_scores_gemma":[0.00047390783,0.00006407302,0.00007293492,0.000078764155,0.00003958534,0.0000037250697,0.00046145509,0.010193437,0.0001724703,0.987629,0.0005009579,0.0003096635],"about_ca_topic_score_codex":0.0000075991866,"about_ca_topic_score_gemma":0.0000040324685,"teacher_disagreement_score":0.17827569,"about_ca_system_score_codex":0.000085182575,"about_ca_system_score_gemma":0.0000725844,"threshold_uncertainty_score":0.99996996},"labels":[],"label_agreement":null},{"id":"W2950223841","doi":"10.48550/arxiv.math/0404288","title":"Deformed universal characters for classical and affine algebras","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Affine transformation; Character (mathematics); Duality (order theory); Mathematics; Conjecture; Type (biology); Pure mathematics; Macdonald polynomials; Polynomial; Basis (linear algebra); Integer (computer science); Computation; Algebra over a field; Combinatorics; Discrete mathematics; Orthogonal polynomials; Computer science; Difference polynomials; Mathematical analysis; Geometry; Algorithm","score_opus":0.06450283158765072,"score_gpt":0.300579772980059,"score_spread":0.23607694139240828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950223841","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.994499,0.00009142559,0.0015118399,0.0010135815,0.0016558354,0.00078695064,0.000023925353,0.00014647827,0.00027095937],"genre_scores_gemma":[0.9974819,0.000047221234,0.00080449093,0.0001523607,0.0007487136,0.00007009466,0.00005402024,0.000074811374,0.0005664302],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839497,0.000030263038,0.00036985654,0.0005809446,0.00021990745,0.0004040358],"domain_scores_gemma":[0.9987018,0.000251428,0.00026439104,0.0005134694,0.00009864196,0.00017026353],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00013265711,0.00041136588,0.0006002417,0.00008635541,0.00012878237,0.00005498058,0.0003479376,0.0005455503,0.000045816778],"category_scores_gemma":[0.0002127115,0.00036259036,0.00023531042,0.000062970554,0.000103784005,0.00008854929,0.0005132353,0.0005628904,0.000008381296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019374274,0.000099869096,0.007570726,0.0006110513,0.00031398583,0.000016243492,0.0007493976,0.0000147393175,0.00012288497,0.98914886,0.00054870604,0.00060979265],"study_design_scores_gemma":[0.0016879243,0.00011231304,0.015840653,0.00018029052,0.00021491096,0.000009247497,0.00008800364,0.00008983617,0.00042039168,0.9801404,0.0007345509,0.00048151266],"about_ca_topic_score_codex":0.000032452746,"about_ca_topic_score_gemma":0.000018257271,"teacher_disagreement_score":0.009008495,"about_ca_system_score_codex":0.00022543497,"about_ca_system_score_gemma":0.00025001963,"threshold_uncertainty_score":0.9998826},"labels":[],"label_agreement":null},{"id":"W2950241060","doi":"10.48550/arxiv.math/0610423","title":"Groups which do not admit ghosts","year":2006,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Suspension (topology); Mathematics; Cohomology; Group (periodic table); Ring (chemistry); Order (exchange); Commutative property; Pure mathematics; Commutative ring; Finite group; Combinatorics; Physics; Chemistry; Business","score_opus":0.07822441544671015,"score_gpt":0.21230264165246457,"score_spread":0.13407822620575444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950241060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97411335,0.00006428248,0.012182909,0.000066634646,0.0018556173,0.000457199,0.00003899262,0.00029602242,0.010925022],"genre_scores_gemma":[0.99601746,0.000044392964,0.00046179813,0.00005688479,0.00046800493,0.0000018564145,0.000031789335,0.000072165894,0.0028456515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778616,0.00012408556,0.00033260364,0.001083565,0.00018747621,0.00048611648],"domain_scores_gemma":[0.99756056,0.00023426434,0.0003867874,0.0013510935,0.00027744897,0.00018985516],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00019667656,0.0005261844,0.00062721915,0.00019294657,0.0001972568,0.00010621201,0.0010455693,0.0007455579,0.00022409063],"category_scores_gemma":[0.00012135246,0.0005802507,0.0003458035,0.00041554458,0.00008424599,0.00013024526,0.0012681377,0.000927454,0.0000696885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078729834,0.00010148133,0.000920326,0.00016738196,0.00014306896,0.00012417175,0.00012556379,0.0047862194,0.000005652459,0.99082124,0.002602156,0.0001239925],"study_design_scores_gemma":[0.0007205311,0.000042593,0.0008943613,0.00012257058,0.00026114262,0.000004488429,0.000052356685,0.003281982,0.000085348845,0.9932996,0.00058685377,0.0006481581],"about_ca_topic_score_codex":0.00029500373,"about_ca_topic_score_gemma":0.00013803347,"teacher_disagreement_score":0.021904135,"about_ca_system_score_codex":0.00028535197,"about_ca_system_score_gemma":0.00019889702,"threshold_uncertainty_score":0.9996649},"labels":[],"label_agreement":null},{"id":"W2950298248","doi":"10.48550/arxiv.1308.5477","title":"Strong fusion control and stable equivalences","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Morita equivalence; Abelian group; Combinatorics; Discrete valuation ring; Pure mathematics; Block (permutation group theory); Discrete mathematics","score_opus":0.08714875771214534,"score_gpt":0.2117080579731585,"score_spread":0.12455930026101317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950298248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9803421,0.00016290366,0.015959097,0.000036709527,0.0006964641,0.0004528392,0.000018321694,0.00010781573,0.0022237361],"genre_scores_gemma":[0.9976435,0.00017983584,0.00022709345,0.000023541945,0.00013869081,0.0000016556713,0.0000043462383,0.000024708343,0.0017566779],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868524,0.00009571343,0.0001853766,0.0006223623,0.000098132514,0.00031316793],"domain_scores_gemma":[0.9987378,0.00021699916,0.00024352374,0.000539665,0.00011551552,0.00014648633],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001450579,0.00029677578,0.000426721,0.00009176111,0.00015405579,0.000086374486,0.0004243771,0.00032770276,0.00023612585],"category_scores_gemma":[0.000054509994,0.0002899242,0.00012197878,0.00009562326,0.00011797229,0.00015948237,0.00072973594,0.0004261099,0.000015051431],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039306797,0.000031732277,0.0013830626,0.00016015278,0.00010395453,0.000021354166,0.00010984095,0.0018807775,0.00002163255,0.99573594,0.00037063062,0.0001415969],"study_design_scores_gemma":[0.0007744938,0.000046103196,0.0003318989,0.00009819729,0.00017639033,0.0000015149127,0.00019816583,0.03226459,0.000020139778,0.9656787,0.00009705316,0.00031276688],"about_ca_topic_score_codex":0.00031403205,"about_ca_topic_score_gemma":0.000018250961,"teacher_disagreement_score":0.030383814,"about_ca_system_score_codex":0.00008598462,"about_ca_system_score_gemma":0.00007908318,"threshold_uncertainty_score":0.9999553},"labels":[],"label_agreement":null},{"id":"W2950347204","doi":"10.48550/arxiv.0907.4496","title":"An upper bound on the essential dimension of a central simple algebra","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Simple (philosophy); Dimension (graph theory); Mathematics; Algebra over a field; Upper and lower bounds; Pure mathematics; Philosophy; Epistemology; Mathematical analysis","score_opus":0.05312653461463324,"score_gpt":0.22118341922732918,"score_spread":0.16805688461269594,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950347204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9942736,0.000015941121,0.0036767698,0.00006624514,0.00059967826,0.00039676056,0.000017789818,0.00007508533,0.00087814295],"genre_scores_gemma":[0.99940735,0.000029444842,0.00008617214,0.00008887826,0.00019929776,5.160752e-7,0.000019942478,0.000030476627,0.00013793347],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998405,0.0002026639,0.00025139574,0.0006096547,0.00016852604,0.00036275922],"domain_scores_gemma":[0.99802345,0.0002102996,0.00032974454,0.001191621,0.00011385785,0.00013102179],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016826566,0.00033334302,0.0004199471,0.000098033684,0.00017800523,0.000051323757,0.000778693,0.000341117,0.00021825546],"category_scores_gemma":[0.000058026497,0.0002707027,0.00030327967,0.0001759423,0.0001371582,0.00008903139,0.00034884654,0.0005365393,0.000006834466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014700694,0.00019462008,0.00022783401,0.000042973115,0.00009872764,0.000029055584,0.000283412,0.0057073757,0.00010935067,0.9925994,0.00050340634,0.000056794423],"study_design_scores_gemma":[0.00042355398,0.00014713831,0.00071842904,0.000076984776,0.0001823431,0.0000013659217,0.00014249932,0.008598709,0.0011872369,0.98818934,0.00004802255,0.00028437164],"about_ca_topic_score_codex":0.00013113668,"about_ca_topic_score_gemma":0.000019976676,"teacher_disagreement_score":0.0051337513,"about_ca_system_score_codex":0.0001170958,"about_ca_system_score_gemma":0.00012779498,"threshold_uncertainty_score":0.9999745},"labels":[],"label_agreement":null},{"id":"W2950460208","doi":"10.48550/arxiv.0709.4253","title":"Finitistic dimension through infinite projective dimension","year":2007,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University","funders":"Universidad Nacional Autónoma de México","keywords":"Dimension (graph theory); Projective test; Mathematics; Packing dimension; Pure mathematics; Mathematical analysis; Minkowski–Bouligand dimension; Fractal dimension","score_opus":0.13721402298990978,"score_gpt":0.24786457939851528,"score_spread":0.1106505564086055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950460208","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9349107,0.000085325206,0.05159653,0.000022817096,0.0022171915,0.0008636805,0.00003078357,0.00031641166,0.009956557],"genre_scores_gemma":[0.9967715,0.000121711535,0.0014427017,0.00010069334,0.0002444665,0.000001974767,0.000038019065,0.00007094073,0.0012079711],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976372,0.00016460818,0.00037835087,0.001101122,0.00020663509,0.00051208073],"domain_scores_gemma":[0.9973846,0.00063535303,0.0004718587,0.0010532968,0.00031190112,0.0001429845],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002517888,0.0005553619,0.0006516257,0.00021230004,0.00025155372,0.000050945357,0.00053446693,0.00074037735,0.00010168459],"category_scores_gemma":[0.0002596018,0.00057893706,0.0003112193,0.0004244524,0.00017552599,0.00017382466,0.0013251394,0.0010403588,0.00005688965],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001921088,0.0001258766,0.00029106138,0.00018780438,0.00016907237,0.00036096378,0.0007423471,0.0035120852,0.000016559323,0.993612,0.0007082822,0.00008186971],"study_design_scores_gemma":[0.0008278455,0.00011522225,0.00024472817,0.00030574438,0.00031895525,0.000009327149,0.00022948322,0.005220492,0.00021295238,0.9916064,0.00026964734,0.0006392106],"about_ca_topic_score_codex":0.00026776668,"about_ca_topic_score_gemma":0.00002779111,"teacher_disagreement_score":0.06186082,"about_ca_system_score_codex":0.00036649793,"about_ca_system_score_gemma":0.00020295905,"threshold_uncertainty_score":0.9996662},"labels":[],"label_agreement":null},{"id":"W2950872837","doi":"10.48550/arxiv.math/0510194","title":"Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra","year":2005,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Pure mathematics; Virasoro algebra; Class (philosophy); Algebra over a field; Verma module; Simple module; Simple (philosophy); Algebra representation; Cellular algebra; Lie algebra; Computer science","score_opus":0.09531655775564625,"score_gpt":0.22810989526416353,"score_spread":0.1327933375085173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950872837","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9879043,0.00015916025,0.005937258,0.00013400649,0.0009773744,0.0005032702,0.00003178693,0.000121022895,0.0042318017],"genre_scores_gemma":[0.9971661,0.00018817572,0.0003197073,0.000035277724,0.00034424115,0.0000029366274,0.000024549687,0.00005067524,0.0018683263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981038,0.00018072834,0.00041757565,0.0007856403,0.00019463152,0.0003176032],"domain_scores_gemma":[0.99701613,0.00031306033,0.0006812043,0.0016782196,0.00020774364,0.00010362305],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024102406,0.00040216584,0.0005224139,0.00015518053,0.00015701736,0.000045113946,0.0011073184,0.0004813119,0.0002648354],"category_scores_gemma":[0.00009536785,0.00034137414,0.00037871578,0.00035890136,0.00024418678,0.00014138193,0.00067133823,0.000616715,0.000017463106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064237094,0.00013062915,0.00064651907,0.00011889965,0.00023187084,0.0000070676433,0.0002860237,0.004393981,0.00010044423,0.99253076,0.0012279024,0.00026164425],"study_design_scores_gemma":[0.0005777906,0.00002716679,0.007989099,0.00010168927,0.0003298139,0.0000021125397,0.00015764503,0.026161326,0.00033175846,0.9631639,0.00078005594,0.00037765485],"about_ca_topic_score_codex":0.0001373523,"about_ca_topic_score_gemma":0.00004353567,"teacher_disagreement_score":0.029366894,"about_ca_system_score_codex":0.00021702106,"about_ca_system_score_gemma":0.00015389743,"threshold_uncertainty_score":0.9999038},"labels":[],"label_agreement":null},{"id":"W2951036884","doi":"10.48550/arxiv.math/0409371","title":"On the structure and characters of weight modules","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Computer science; Mathematics","score_opus":0.03860952790679179,"score_gpt":0.26513571830240046,"score_spread":0.22652619039560867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951036884","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.997371,0.00015427843,0.00008314076,0.0006154389,0.0011364914,0.0003688646,0.00003525652,0.00003910582,0.00019638191],"genre_scores_gemma":[0.9992427,0.00006167502,0.00011812722,0.00016726325,0.0002777947,0.000010552641,0.000009916462,0.000041212286,0.00007073346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878204,0.00005653415,0.00032175565,0.00036953666,0.0002724145,0.00019774567],"domain_scores_gemma":[0.99848616,0.00026898278,0.00034342418,0.00077970367,0.0000662088,0.000055526998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010074316,0.00031796953,0.00044199178,0.000051054285,0.00008471352,0.00002720771,0.00040819315,0.00034084302,0.00010508954],"category_scores_gemma":[0.00016114111,0.0001974706,0.00013341533,0.000052828407,0.00010414408,0.000030517429,0.00038950058,0.00066171767,0.0000030649596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003045071,0.000030203708,0.0043472815,0.00024628095,0.00015659865,0.000003214406,0.00071749464,0.000043325792,0.00026830292,0.99388427,0.00015130902,0.000121251105],"study_design_scores_gemma":[0.00025388555,0.000035389792,0.027514188,0.0002349973,0.000071750146,0.0000028522056,0.00002901677,0.000023494726,0.00419826,0.9674093,0.000028059152,0.00019877579],"about_ca_topic_score_codex":0.00003638698,"about_ca_topic_score_gemma":0.000004258593,"teacher_disagreement_score":0.026474956,"about_ca_system_score_codex":0.00004977038,"about_ca_system_score_gemma":0.00006305471,"threshold_uncertainty_score":0.80526173},"labels":[],"label_agreement":null},{"id":"W2951073467","doi":"10.48550/arxiv.1010.1197","title":"Hamming graphs in Nomura Algebras","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Association scheme; Mathematics; Dual (grammatical number); Type (biology); Scheme (mathematics); Combinatorics; Hamming distance; Hamming code; Hamming graph; Pure mathematics; Discrete mathematics; Algebra over a field; Algorithm; Block code; Linguistics; Philosophy; Decoding methods","score_opus":0.07987917623459449,"score_gpt":0.21361011914932107,"score_spread":0.1337309429147266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951073467","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915658,0.000038188067,0.0033732275,0.000033907727,0.001821194,0.00037427086,0.000008250554,0.0001514178,0.002633727],"genre_scores_gemma":[0.99843735,0.00005043807,0.00059105444,0.000041219213,0.00014281833,0.0000018372641,0.00001006807,0.000051757128,0.000673486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816805,0.000091571186,0.00031367075,0.0008786467,0.00011288,0.0004351796],"domain_scores_gemma":[0.99817544,0.00022740538,0.00029510885,0.0010542726,0.00009728499,0.00015051027],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023805769,0.00041821724,0.00055027445,0.00034940024,0.00010680025,0.00006093895,0.0009082016,0.00080007623,0.00018474805],"category_scores_gemma":[0.00012438302,0.0004706985,0.00029561724,0.00039789453,0.00012475182,0.00012772102,0.0009436015,0.0016333774,0.000024992723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036353453,0.00007009584,0.0023726374,0.00010364714,0.00006146336,0.00016992874,0.0002940303,0.0014034599,0.000023497596,0.9951974,0.00014194738,0.000125533],"study_design_scores_gemma":[0.0006417838,0.000019972536,0.0008255691,0.000106751206,0.00008760776,0.0000033943911,0.0000946995,0.00435636,0.00009909913,0.9931165,0.00015589487,0.00049234147],"about_ca_topic_score_codex":0.00037846342,"about_ca_topic_score_gemma":0.00043380403,"teacher_disagreement_score":0.006871505,"about_ca_system_score_codex":0.00015235954,"about_ca_system_score_gemma":0.00015331824,"threshold_uncertainty_score":0.99977446},"labels":[],"label_agreement":null},{"id":"W2951332174","doi":"10.48550/arxiv.0902.4441","title":"Symmetric functions, codes of partitions and the KP hierarchy","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Notation; Hierarchy; Simple (philosophy); Partition (number theory); Pure mathematics; Action (physics); Algebra over a field; Partition function (quantum field theory); Operator (biology); Code (set theory); Discrete mathematics; Combinatorics; Computer science; Arithmetic","score_opus":0.05997542873004517,"score_gpt":0.2973917778295952,"score_spread":0.23741634909955003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951332174","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9917152,0.0016856777,0.0013452956,0.0010351944,0.00082565227,0.00047089372,0.000027305621,0.00006781865,0.0028269957],"genre_scores_gemma":[0.9983663,0.00040146013,0.0003767067,0.00009512471,0.00026363644,0.0000621399,0.000014049954,0.000020982996,0.00039959143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872166,0.00014962655,0.00041796255,0.00028951856,0.0002340395,0.00018720033],"domain_scores_gemma":[0.9982083,0.00065482187,0.00028879993,0.00066540466,0.00012293816,0.000059759],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029366926,0.00021943543,0.0004803473,0.00012505901,0.00016595199,0.000036106132,0.0002732972,0.00021959947,0.000058616915],"category_scores_gemma":[0.0004960633,0.00014815437,0.00018532696,0.00022379763,0.00019652778,0.000037533755,0.00031769616,0.00049951335,0.000007371388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049638664,0.00006955871,0.0072309864,0.0001450569,0.00016273682,0.0000016946069,0.0003139884,0.000025820158,0.0000067338487,0.989539,0.001795653,0.00065909297],"study_design_scores_gemma":[0.00064510055,0.000036887664,0.012823963,0.00008694974,0.00022693687,0.0000058511196,0.00007846737,0.00008955614,0.00008055351,0.98533076,0.00043723997,0.00015774585],"about_ca_topic_score_codex":0.0000779072,"about_ca_topic_score_gemma":0.00000943384,"teacher_disagreement_score":0.006651141,"about_ca_system_score_codex":0.000029803561,"about_ca_system_score_gemma":0.00007278473,"threshold_uncertainty_score":0.604156},"labels":[],"label_agreement":null},{"id":"W2951425305","doi":"10.48550/arxiv.0710.2623","title":"Cup products in Hopf cyclic cohomology via cyclic modules I","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Cyclic homology; Hopf algebra; Mathematics; Pure mathematics; Equivariant map; Algebra over a field; Cohomology","score_opus":0.07849333612409337,"score_gpt":0.32269914690731555,"score_spread":0.24420581078322218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951425305","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99088234,0.00074098783,0.0010630836,0.00052290066,0.0042081866,0.0010049677,0.000008070748,0.00022801555,0.0013414446],"genre_scores_gemma":[0.99590045,0.00013007036,0.0016814664,0.00023523842,0.0012111929,0.00012123306,0.000040798393,0.00012938985,0.00055016787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99638104,0.00019383017,0.00096516346,0.0011986692,0.00043468666,0.0008266212],"domain_scores_gemma":[0.99714243,0.00033173416,0.00052233995,0.0016840447,0.00016819534,0.00015126598],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006023737,0.0006735831,0.0010956697,0.00033726383,0.00010141059,0.000041909756,0.00091022585,0.0010466499,0.00010449688],"category_scores_gemma":[0.00069813826,0.0006397495,0.00022600677,0.00032309425,0.00015541314,0.00008703865,0.0010918321,0.0015870301,0.000113732065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038328438,0.001437783,0.4654424,0.0027122216,0.00084244256,0.00065793586,0.0044061737,0.00047706784,0.0029735425,0.51076084,0.004104321,0.0058019897],"study_design_scores_gemma":[0.0007130619,0.000060010425,0.07684283,0.00017676715,0.0000914502,0.00003599887,0.000039116847,0.00009887598,0.0025414282,0.9180888,0.00061406934,0.00069759367],"about_ca_topic_score_codex":0.00041523034,"about_ca_topic_score_gemma":0.00013008113,"teacher_disagreement_score":0.40732795,"about_ca_system_score_codex":0.0002486241,"about_ca_system_score_gemma":0.00015246037,"threshold_uncertainty_score":0.99960536},"labels":[],"label_agreement":null},{"id":"W2951534002","doi":"10.48550/arxiv.1307.3924","title":"Brauer-friendly modules and slash functors","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Functor; Mathematics; Indecomposable module; Pure mathematics; Equivalence (formal languages); Adjoint functors; Permutation (music); Block (permutation group theory); Morita equivalence; Discrete mathematics; Combinatorics","score_opus":0.07055375464409902,"score_gpt":0.1963808638162055,"score_spread":0.1258271091721065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951534002","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9870661,0.00009730609,0.0078693805,0.00003901538,0.0011834458,0.0003789826,0.000016841926,0.00018589308,0.003163038],"genre_scores_gemma":[0.9959635,0.00012580279,0.0005515317,0.000038215272,0.00019963144,0.0000018435501,0.0000094182005,0.00004924139,0.0030607951],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837977,0.00008409146,0.00022145353,0.00084676326,0.000106937616,0.00036098898],"domain_scores_gemma":[0.9983404,0.00020469776,0.0002525572,0.0008614743,0.00012961049,0.00021121975],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00010612845,0.0004201289,0.0004935956,0.00014486692,0.00014625835,0.000096241485,0.0005449016,0.00048591295,0.00024757412],"category_scores_gemma":[0.00008657418,0.000427315,0.00019236859,0.00015716038,0.00015503385,0.00016104238,0.0012320469,0.00056076556,0.000040950294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024269599,0.000038242244,0.0009581254,0.00018623794,0.00013877857,0.00003206316,0.00014411936,0.0009926775,0.000005166026,0.99521714,0.0020892837,0.00017387066],"study_design_scores_gemma":[0.00047443612,0.000044382457,0.00090414786,0.00008888425,0.00017065472,0.0000032042647,0.00012863174,0.0073431795,0.000039737624,0.98988414,0.00045447034,0.00046414655],"about_ca_topic_score_codex":0.00023298708,"about_ca_topic_score_gemma":0.000025899359,"teacher_disagreement_score":0.008897424,"about_ca_system_score_codex":0.00010893988,"about_ca_system_score_gemma":0.000068798545,"threshold_uncertainty_score":0.99981785},"labels":[],"label_agreement":null},{"id":"W2951579439","doi":"10.48550/arxiv.math/0501365","title":"Mirkovic-Vilonen cycles and polytopes","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Polytope; Hyperplane; Bijection; Combinatorics; Polytope model; Mathematics; Affine transformation; Rank (graph theory); Lattice (music); Characterization (materials science); Pure mathematics; Physics","score_opus":0.07648407160849942,"score_gpt":0.3227272478791034,"score_spread":0.246243176270604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951579439","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9939027,0.0014382008,0.00012556055,0.0007808132,0.0010906128,0.00034889142,0.000014577355,0.00017397261,0.0021246844],"genre_scores_gemma":[0.9957559,0.00024381549,0.0015108779,0.00023263066,0.0011444122,0.000039245955,0.000011423164,0.000071462084,0.0009902449],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983378,0.00005845701,0.00041073916,0.0005789679,0.00026629367,0.00034771184],"domain_scores_gemma":[0.9986101,0.00017976016,0.00024487192,0.00076093094,0.000063782885,0.00014059711],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015089223,0.00041092554,0.0005660294,0.0000794168,0.00012505332,0.00008062465,0.00042812835,0.00046522298,0.00018180638],"category_scores_gemma":[0.00013675178,0.00036395065,0.00015895547,0.00005411594,0.00007715696,0.00007282646,0.0009434672,0.00061453285,0.000039736347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001222357,0.0003103251,0.2703913,0.0011185847,0.00081314304,0.000057114194,0.0037526062,0.00004183758,0.0004587935,0.7067262,0.0071887905,0.009019066],"study_design_scores_gemma":[0.00046586568,0.00003337854,0.062826164,0.00017581641,0.00014712737,0.000012458702,0.00008193134,0.000066171386,0.0006465445,0.9326069,0.002373944,0.00056371524],"about_ca_topic_score_codex":0.00015672506,"about_ca_topic_score_gemma":0.000042560285,"teacher_disagreement_score":0.22588067,"about_ca_system_score_codex":0.00005644966,"about_ca_system_score_gemma":0.000074615484,"threshold_uncertainty_score":0.99988127},"labels":[],"label_agreement":null},{"id":"W2951597861","doi":"10.48550/arxiv.1310.2656","title":"A category of kernels for equivariant factorizations, II: further implications","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Derived category; Pure mathematics; Coherent sheaf; Algebraic variety; Triangulated category; Cohomology; Conjecture; Equivariant map; Variety (cybernetics); Noether's theorem; Commutative property; Hochschild homology; Bounded function; Algebra over a field; Invariant (physics); Algebraic number; Functor; Mathematical analysis","score_opus":0.14397508037817494,"score_gpt":0.24168117900377695,"score_spread":0.097706098625602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951597861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6664866,0.00004845395,0.32964516,0.00015855835,0.0007997725,0.0013282689,0.00017517399,0.00012445419,0.0012335674],"genre_scores_gemma":[0.99688303,0.0000416888,0.0009857374,0.000021750877,0.00013869887,0.000016949425,0.0000550532,0.00004930703,0.0018077806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868923,0.000054207867,0.00033625436,0.0005778202,0.00006989661,0.00027259282],"domain_scores_gemma":[0.9977169,0.00026842754,0.00050534017,0.0009969536,0.0004011032,0.0001112754],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00010972339,0.00029459724,0.0004597773,0.00014231239,0.00016844062,0.000028021428,0.0006919534,0.00040475756,0.00020552299],"category_scores_gemma":[0.0001233685,0.00030642978,0.00030408663,0.00020156334,0.00009186753,0.000105772466,0.00068351737,0.000255229,0.00000705934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020170717,0.000101220096,0.0003193098,0.00017299395,0.00019028825,9.2843766e-7,0.00045749292,0.002014948,0.00010057751,0.9957235,0.00084171206,0.000056854646],"study_design_scores_gemma":[0.00047917513,0.0000551665,0.00040273226,0.00004664797,0.00024832104,7.7773393e-7,0.00013960079,0.0043008938,0.00016829712,0.9935948,0.00026101602,0.00030255],"about_ca_topic_score_codex":0.00019846433,"about_ca_topic_score_gemma":0.000011562991,"teacher_disagreement_score":0.33039644,"about_ca_system_score_codex":0.00013355454,"about_ca_system_score_gemma":0.00023021817,"threshold_uncertainty_score":0.9999388},"labels":[],"label_agreement":null},{"id":"W2951847462","doi":"10.4153/cmb-2002-055-9","title":"Subalgebras of gc<i><sub>N</sub></i> and Jacobi Polynomials","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Conformal map; Jacobi polynomials; Connection (principal bundle); Algebra over a field; Pure mathematics; Element (criminal law); Lie conformal algebra; Wilson polynomials; Orthogonal polynomials; Mathematical analysis; Geometry","score_opus":0.02183550581674303,"score_gpt":0.21980892578161776,"score_spread":0.19797341996487472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951847462","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9816591,0.00034032972,0.00020356166,0.002228029,0.00016562016,0.00037412537,0.00002303684,0.000052449563,0.0149537325],"genre_scores_gemma":[0.997973,0.000034024393,0.0009504929,0.0004476057,0.00012608053,0.000022578663,0.0000014716452,0.000051453117,0.00039325684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982652,0.00007092878,0.0005566057,0.00031045603,0.0002755683,0.00052122376],"domain_scores_gemma":[0.99812585,0.00055908615,0.00014801418,0.00044909664,0.00007497824,0.0006429739],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00027973874,0.00026692115,0.00055528834,0.00014055804,0.000118379685,0.00004890468,0.0002602995,0.00022140148,0.0063456004],"category_scores_gemma":[0.00079353224,0.00024506575,0.00012268432,0.00014934764,0.00021106715,0.0000333164,0.000059952203,0.00019951421,0.00079818413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000060225034,0.00005091195,0.00003227877,0.00022074953,0.000046644556,0.000019586132,0.00039471727,2.9339972e-7,0.0009955951,0.9608602,0.035897776,0.0014752275],"study_design_scores_gemma":[0.00050176226,0.00006877119,0.000055456676,0.00011077618,0.000068335146,0.000053621927,0.000086014545,0.00009750578,0.008840991,0.98551327,0.0042748693,0.0003286048],"about_ca_topic_score_codex":0.0002371606,"about_ca_topic_score_gemma":0.00023724345,"teacher_disagreement_score":0.031622905,"about_ca_system_score_codex":0.000081040576,"about_ca_system_score_gemma":0.000058775262,"threshold_uncertainty_score":0.9999798},"labels":[],"label_agreement":null},{"id":"W2951906341","doi":"10.48550/arxiv.1007.0928","title":"From m-clusters to m-noncrossing partitions via exceptional sequences","year":2010,"lang":"en","type":"preprint","venue":"Archipelago (Université du Québec à Montréal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Bijection, injection and surjection; Bijection; Catalan number; Combinatorics; Mathematics; Cardinality (data modeling); Cluster algebra; Bounded function; Integer (computer science); Cluster (spacecraft); Discrete mathematics; Physics; Computer science","score_opus":0.01661084817350989,"score_gpt":0.22759275742976384,"score_spread":0.21098190925625396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951906341","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94092155,0.00022513037,0.05228189,0.0036072389,0.001581879,0.0004956655,0.0001395463,0.00023737272,0.000509742],"genre_scores_gemma":[0.9853495,0.000019242088,0.012736412,0.0005221994,0.0010363397,0.000032467637,0.00008995833,0.00006822792,0.00014567527],"study_design_codex":"qualitative","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975647,0.00018303201,0.00040381882,0.0008158687,0.0005541875,0.00047839677],"domain_scores_gemma":[0.9974244,0.000761236,0.00031984114,0.00092922186,0.00016263612,0.0004026557],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00025783113,0.0005075048,0.0005876917,0.00022096957,0.0007587177,0.00017742529,0.0009761574,0.00046272355,0.0008493639],"category_scores_gemma":[0.00020659815,0.0005328679,0.00039582292,0.00016407004,0.00026262112,0.0001738044,0.0014002994,0.0011448398,0.0000884962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008825772,0.0006881138,0.001264857,0.00044683224,0.0019950694,0.0005803373,0.6392995,0.008800084,0.004395292,0.24739473,0.027709426,0.06654316],"study_design_scores_gemma":[0.00049548503,0.00006629167,0.0008277619,0.0001646377,0.00020806992,0.000013972287,0.0048136027,0.0026387915,0.000057581325,0.98752934,0.0025162299,0.00066826225],"about_ca_topic_score_codex":0.25060835,"about_ca_topic_score_gemma":0.26141894,"teacher_disagreement_score":0.7401346,"about_ca_system_score_codex":0.00040739082,"about_ca_system_score_gemma":0.00072040834,"threshold_uncertainty_score":0.9997123},"labels":[],"label_agreement":null},{"id":"W2951961497","doi":"10.48550/arxiv.math/0103005","title":"A unified view of some vertex operator constructions","year":2001,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; University of Saskatchewan","funders":"","keywords":"Vertex (graph theory); Operator (biology); Mathematics; Combinatorics; Graph; Biology","score_opus":0.07929366689208596,"score_gpt":0.3159317682912716,"score_spread":0.23663810139918567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951961497","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9927296,0.000721687,0.00028319168,0.00018744954,0.0035882508,0.0005273627,0.00003557428,0.00012796817,0.0017988866],"genre_scores_gemma":[0.99765795,0.00038680303,0.0008109271,0.000119254415,0.00039589926,0.000060505165,0.000019153555,0.00006244379,0.00048704463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980863,0.00009775813,0.00070114154,0.00049503177,0.00030547564,0.0003143175],"domain_scores_gemma":[0.99800825,0.00017916648,0.00037980182,0.0010811839,0.00022351134,0.00012808971],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00012937878,0.0003908404,0.0008380007,0.00010699949,0.00011163854,0.000033909466,0.0005584123,0.00048149913,0.00046969458],"category_scores_gemma":[0.00022854196,0.0003564941,0.000295737,0.00017071168,0.00014013729,0.00008536898,0.0005776096,0.00066733063,0.00003742971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024676889,0.00012012953,0.008434222,0.0005081449,0.00033387422,0.000012846779,0.00032680423,0.000026355476,0.00026535094,0.98840785,0.0010127504,0.0005270026],"study_design_scores_gemma":[0.0006134079,0.000045833367,0.0024248806,0.00035671913,0.0002126859,0.000020801694,0.00012211312,0.000056828747,0.00096379174,0.9933818,0.0013929222,0.0004082016],"about_ca_topic_score_codex":0.000109507426,"about_ca_topic_score_gemma":0.000008884616,"teacher_disagreement_score":0.006009341,"about_ca_system_score_codex":0.00008612711,"about_ca_system_score_gemma":0.0003131583,"threshold_uncertainty_score":0.9998887},"labels":[],"label_agreement":null},{"id":"W2951994529","doi":"10.48550/arxiv.1704.00858","title":"Split $t$-structures and torsion pairs in hereditary categories","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Bijection; Mathematics; Derived category; Torsion (gastropod); Triangulated category; Closed category; Pure mathematics; 2-category; Combinatorics; Algebra over a field","score_opus":0.08398162513349423,"score_gpt":0.22051248607221752,"score_spread":0.1365308609387233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951994529","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9957407,0.00022153962,0.0005071034,0.00004949544,0.0015375853,0.00030432336,0.000016081161,0.000084990636,0.0015381537],"genre_scores_gemma":[0.9985725,0.0001773057,0.00025758008,0.000015748814,0.00025040432,0.0000010772309,0.000013933979,0.000033148382,0.000678245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854255,0.000086230204,0.0002159314,0.00075241696,0.000097927026,0.00030493893],"domain_scores_gemma":[0.99843776,0.0001260086,0.00028429602,0.0009543253,0.00007078506,0.00012679388],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016308865,0.00037022054,0.00050621777,0.00015590701,0.00020795438,0.00009032413,0.0006471675,0.0005279775,0.00006434144],"category_scores_gemma":[0.00012899474,0.00037789383,0.00013266465,0.00008084089,0.00020913806,0.00016980768,0.0011732477,0.0006537472,0.0000032874523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000082281935,0.000026770294,0.0058258637,0.00025003232,0.00006479452,0.00030133122,0.0004226538,0.0008831097,0.0000023538585,0.9914756,0.00048636293,0.00017886651],"study_design_scores_gemma":[0.0005419735,0.000031385895,0.005398175,0.000111064175,0.00008710188,0.0000073082747,0.0002950421,0.0021152063,0.000037877588,0.99085504,0.0001294177,0.0003904178],"about_ca_topic_score_codex":0.00081523176,"about_ca_topic_score_gemma":0.00023594679,"teacher_disagreement_score":0.0028318292,"about_ca_system_score_codex":0.00015076075,"about_ca_system_score_gemma":0.00011546741,"threshold_uncertainty_score":0.9998673},"labels":[],"label_agreement":null},{"id":"W2952107693","doi":"10.48550/arxiv.math/0607614","title":"Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras","year":2006,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Subalgebra; Pure mathematics; Virasoro algebra; Series (stratigraphy); Class (philosophy); Algebra over a field; Algebra representation; Cellular algebra; Computer science; Artificial intelligence","score_opus":0.10484985658741527,"score_gpt":0.23264072046326742,"score_spread":0.12779086387585215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952107693","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97298247,0.00011569229,0.022288974,0.00002516607,0.0010461609,0.0004382304,0.00005557155,0.00014023666,0.0029075018],"genre_scores_gemma":[0.99629176,0.000095236515,0.0010513436,0.0000148173185,0.00022665477,0.0000030555357,0.00007584801,0.000057691213,0.0021835736],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979956,0.00013841598,0.00045440995,0.0008974789,0.00018466698,0.00032941203],"domain_scores_gemma":[0.99753135,0.00014736147,0.0007163885,0.0012716254,0.00022680155,0.000106480875],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00018635513,0.00042810713,0.000683543,0.00023897387,0.00012959243,0.000053900094,0.0007359013,0.0006066419,0.00018093105],"category_scores_gemma":[0.00007137463,0.0004695159,0.00039051587,0.0003071709,0.00017838646,0.00015783754,0.00059199025,0.00046088724,0.000009311082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000089580404,0.00015553772,0.0014089392,0.00022141308,0.00018708452,0.000013540477,0.00011837995,0.010813088,0.00032002165,0.98395544,0.0026431917,0.0000737818],"study_design_scores_gemma":[0.00097641954,0.000033693857,0.004106206,0.00010075973,0.0003000177,0.0000012579292,0.000050336523,0.033437636,0.0006858003,0.9596731,0.00018414034,0.000450616],"about_ca_topic_score_codex":0.0007386987,"about_ca_topic_score_gemma":0.0000617264,"teacher_disagreement_score":0.024282323,"about_ca_system_score_codex":0.00021300801,"about_ca_system_score_gemma":0.00014154542,"threshold_uncertainty_score":0.99977565},"labels":[],"label_agreement":null},{"id":"W2952172389","doi":"10.48550/arxiv.1208.5032","title":"Standard components of a Krull-Schmidt category","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick; Université de Sherbrooke","funders":"","keywords":"Quiver; Mathematics; Pure mathematics; Bounded function; Derived category; Component (thermodynamics); Closed category; Algebra over a field; Triangulated category; Discrete mathematics; Mathematical analysis","score_opus":0.12366337766172758,"score_gpt":0.22375539220033622,"score_spread":0.10009201453860864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952172389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98327464,0.00012628322,0.0109495,0.000013865301,0.0013195346,0.0003574407,0.000058322963,0.00010377416,0.003796613],"genre_scores_gemma":[0.99864966,0.000061154075,0.00035518495,0.000013106272,0.00016137144,8.6838827e-7,0.00002949766,0.00004283195,0.0006863061],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99850905,0.00012369211,0.0003200364,0.00051520066,0.00016818104,0.0003638372],"domain_scores_gemma":[0.9980221,0.00015515722,0.00049406826,0.0009471878,0.0002020934,0.00017939857],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002189583,0.0003566171,0.0006736083,0.00015004387,0.00008575133,0.000019300058,0.0007186997,0.00044001752,0.0002860404],"category_scores_gemma":[0.00005123324,0.00037957175,0.00032318608,0.00017748005,0.00014977576,0.00010216965,0.0009934405,0.00056056725,0.000019255469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018451831,0.00011069099,0.0013845934,0.0003674277,0.0002484255,0.00002828822,0.00032564186,0.0014421846,0.000055604654,0.9953131,0.0004920531,0.000047483856],"study_design_scores_gemma":[0.00076263695,0.000041157386,0.00051626784,0.000119122786,0.00031506558,0.0000018446219,0.00011205445,0.0010204568,0.0003174242,0.99608296,0.00032706576,0.00038395857],"about_ca_topic_score_codex":0.00024963813,"about_ca_topic_score_gemma":0.000011352296,"teacher_disagreement_score":0.015375013,"about_ca_system_score_codex":0.00020082676,"about_ca_system_score_gemma":0.00013153456,"threshold_uncertainty_score":0.9998656},"labels":[],"label_agreement":null},{"id":"W2952285209","doi":"10.48550/arxiv.1109.2172","title":"Modules for a sheaf of Lie algebras on loop manifolds","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Sheaf; Mathematics; Pure mathematics; Lie conformal algebra; Lie algebra; Algebra over a field; Affine Lie algebra; Sheaf cohomology; Extension (predicate logic); Cohomology; Current algebra; Computer science; Group cohomology","score_opus":0.14257122554239232,"score_gpt":0.22526845210477422,"score_spread":0.0826972265623819,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952285209","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9666277,0.00004055873,0.026643531,0.000015684864,0.0010454127,0.00075356365,0.000053712272,0.00011273431,0.0047070603],"genre_scores_gemma":[0.9969134,0.00005402967,0.000999562,0.00003149888,0.00015923084,0.0000042166284,0.0000146011835,0.000060271002,0.001763206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984491,0.00005865157,0.0003100981,0.00075386633,0.000105237945,0.00032306463],"domain_scores_gemma":[0.99788004,0.00027243225,0.00043888384,0.0010891916,0.00019830995,0.0001211466],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016108667,0.00039366787,0.0006347722,0.00019132133,0.00008746828,0.000018868084,0.0008168934,0.0005243947,0.00013355794],"category_scores_gemma":[0.00009882085,0.00041006465,0.00046176728,0.00014141244,0.00010346212,0.000065039756,0.0005369234,0.0003594982,0.000012818828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026517958,0.00017176592,0.00010567599,0.00041575343,0.00023848131,0.000018288036,0.00017762091,0.0012106628,0.000015228379,0.99663657,0.0006317745,0.00011297745],"study_design_scores_gemma":[0.0008169837,0.00021128039,0.000115987554,0.00018906736,0.00029799753,0.0000011082376,0.00007792481,0.0032400656,0.0011293433,0.99345386,0.00007561508,0.00039077256],"about_ca_topic_score_codex":0.00009785606,"about_ca_topic_score_gemma":0.000016640484,"teacher_disagreement_score":0.030285642,"about_ca_system_score_codex":0.000115045616,"about_ca_system_score_gemma":0.00010207172,"threshold_uncertainty_score":0.99983513},"labels":[],"label_agreement":null},{"id":"W2952332279","doi":"10.48550/arxiv.math/0105105","title":"Para-Hopf algebroids and their cyclic cohomology","year":2001,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Hopf algebra; Mathematics; Cyclic homology; Cohomology; Pure mathematics; Quasitriangular Hopf algebra; Representation theory of Hopf algebras; Algebra over a field; Division algebra; Filtered algebra","score_opus":0.08823261014747662,"score_gpt":0.3163467916391113,"score_spread":0.22811418149163465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952332279","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9925583,0.0011715051,0.001045212,0.00044147437,0.0019271473,0.00048431268,0.0000138951755,0.00021349755,0.0021446268],"genre_scores_gemma":[0.99706423,0.00049485517,0.00034731312,0.0003045838,0.0007712468,0.00008524526,0.00002437965,0.000091810696,0.0008163105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99781835,0.00014993198,0.00053670927,0.00078449654,0.00019055702,0.00051993976],"domain_scores_gemma":[0.99790764,0.0004015589,0.00033481378,0.0010929387,0.000089293055,0.00017377886],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024296727,0.0005774224,0.00088429236,0.00010091433,0.00015172696,0.00005581286,0.0005477467,0.0008024822,0.00022901903],"category_scores_gemma":[0.00020872283,0.00046784928,0.00022370496,0.000102469916,0.00016814112,0.000051955092,0.001064048,0.0009714658,0.000043972672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015614161,0.0003376407,0.26777288,0.00073266425,0.0011489657,0.00014833569,0.0033460183,0.00002391149,0.0005792151,0.7168261,0.00517272,0.0037554393],"study_design_scores_gemma":[0.000537424,0.00007048386,0.020700047,0.000087146924,0.000097742115,0.000071011185,0.00009693415,0.000061144616,0.00043478928,0.9754698,0.0018668041,0.0005066514],"about_ca_topic_score_codex":0.00012384381,"about_ca_topic_score_gemma":0.0000246375,"teacher_disagreement_score":0.25864375,"about_ca_system_score_codex":0.000073258525,"about_ca_system_score_gemma":0.00009304134,"threshold_uncertainty_score":0.9997773},"labels":[],"label_agreement":null},{"id":"W2952354060","doi":"10.48550/arxiv.1210.4527","title":"The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; Université de Montréal","funders":"","keywords":"Partition function (quantum field theory); Vertex model; Mathematics; Graph partition; Combinatorics; Vertex (graph theory); Partition (number theory); Schur polynomial; Boundary value problem; Polynomial; Macdonald polynomials; Generalization; Orthogonal polynomials; Mathematical analysis; Difference polynomials; Physics; Graph; Quantum mechanics","score_opus":0.059301377798607044,"score_gpt":0.21485053897854017,"score_spread":0.15554916117993312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952354060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9883093,0.00017034989,0.008887282,0.00029318104,0.0005547749,0.00047303492,0.000046899462,0.000035848265,0.0012293016],"genre_scores_gemma":[0.99716014,0.00009673929,0.0002692576,0.000081174796,0.000074973934,0.00000257993,0.000011109451,0.000030010424,0.0022740313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897057,0.00013503719,0.00020943143,0.00033134167,0.0001236916,0.00022995648],"domain_scores_gemma":[0.9985688,0.00014765859,0.00037774775,0.00071602874,0.000112994036,0.00007681121],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001658181,0.00024633927,0.0002833606,0.000044618482,0.0004013999,0.000053405034,0.0004970523,0.00022846254,0.000039844876],"category_scores_gemma":[0.000015822057,0.00015725053,0.0001302687,0.00014099064,0.00036321062,0.00009447619,0.0005211959,0.00029713474,0.0000012140257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054539192,0.000032518088,0.0007305772,0.00005751442,0.0001503988,0.0000017616401,0.00017248429,0.010139399,0.000043818378,0.9878171,0.0007883088,0.000011565913],"study_design_scores_gemma":[0.00048902543,0.00001572388,0.0013116656,0.00007114968,0.0002586634,0.0000024205021,0.000044544795,0.015664244,0.0000789114,0.98156315,0.00028928,0.00021124895],"about_ca_topic_score_codex":0.00010412896,"about_ca_topic_score_gemma":0.00007120218,"teacher_disagreement_score":0.008850795,"about_ca_system_score_codex":0.00010568019,"about_ca_system_score_gemma":0.00017637336,"threshold_uncertainty_score":0.641249},"labels":[],"label_agreement":null},{"id":"W2952477161","doi":"10.48550/arxiv.1402.3306","title":"Homotopy Representations over the Orbit Category","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Realization (probability); Homotopy; Pure mathematics; Orbit (dynamics); Unit (ring theory); Algebra over a field; Representation (politics); Algebraic number; Homotopy group; Group (periodic table); Mathematical analysis; Physics; Mathematics education; Engineering","score_opus":0.0898822858861592,"score_gpt":0.23405776999973607,"score_spread":0.1441754841135769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952477161","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95882887,0.000045130208,0.027851043,0.00014583825,0.00165908,0.00055820396,0.000014386837,0.00018947675,0.010707971],"genre_scores_gemma":[0.9952053,0.000050829298,0.000102547674,0.00010968898,0.00035588088,0.000003608461,0.000014236256,0.000042019525,0.0041159033],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984387,0.00020031625,0.0002352907,0.0006968186,0.00013065059,0.00029823717],"domain_scores_gemma":[0.99736226,0.00045611942,0.00031369872,0.0016273012,0.00013242153,0.00010821473],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002213428,0.00031809634,0.00036133028,0.00009874735,0.00028935296,0.000084593616,0.0010272543,0.00034513843,0.0003345298],"category_scores_gemma":[0.00014341975,0.0002647285,0.00032113557,0.00023112235,0.00017500373,0.00008318702,0.0009953745,0.00073718047,0.00004955602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020038953,0.00003746551,0.00059746165,0.00006118213,0.00013469106,0.000028153847,0.00026006295,0.007760093,0.0000028174125,0.98655045,0.0045154695,0.000032125834],"study_design_scores_gemma":[0.00037853536,0.00001834074,0.0009775683,0.000033607088,0.00023880435,0.0000031240545,0.00015039682,0.011843454,0.000027585404,0.985092,0.0009295966,0.00030699198],"about_ca_topic_score_codex":0.0004145022,"about_ca_topic_score_gemma":0.000055868248,"teacher_disagreement_score":0.036376417,"about_ca_system_score_codex":0.00012734403,"about_ca_system_score_gemma":0.00013082624,"threshold_uncertainty_score":0.9999805},"labels":[],"label_agreement":null},{"id":"W2952605854","doi":"10.1007/jhep05(2019)064","title":"On 2-form gauge models of topological phases","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; European Commission; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Cohomology; Mathematics; Classifying space; Pure mathematics; Gauge theory; Vector space; Lattice (music); Algebraic structure; Group cohomology; Topological space; Space (punctuation); Topology (electrical circuits); Algebra over a field; Combinatorics; Mathematical physics; Physics; Computer science","score_opus":0.0273082722146541,"score_gpt":0.26934631399564823,"score_spread":0.24203804178099414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952605854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.976407,0.000053336862,0.020209216,0.00004741966,0.00084210717,0.00003375481,0.0000038826693,0.00000876819,0.0023945426],"genre_scores_gemma":[0.99833333,0.00003251175,0.0009274836,0.00009681681,0.00038178853,7.4226966e-7,9.839016e-7,0.000016124724,0.0002102377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889416,0.00003001218,0.00041748927,0.00009526091,0.0004139095,0.00014914936],"domain_scores_gemma":[0.998739,0.0002843219,0.0005246007,0.00022052819,0.00017087041,0.000060674844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000090232614,0.000138816,0.0004522479,0.00004119107,0.000025364197,0.000010656488,0.00024378797,0.000085901454,0.00011112028],"category_scores_gemma":[0.000030775896,0.000093622024,0.00022102399,0.000088264766,0.000036949037,0.0001576398,0.000039657196,0.00016094673,0.0000013166259],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011558029,0.00020847158,0.00000925513,0.000015136591,0.00007106269,0.0000046268174,0.00006400922,0.0013177885,0.00012719921,0.99691397,0.0005434254,0.0006094727],"study_design_scores_gemma":[0.0008697622,0.00070982514,0.000017095748,0.000054904132,0.000038245864,0.000012038542,0.00002329503,0.00020455863,0.009748734,0.9881562,0.000064285625,0.00010105533],"about_ca_topic_score_codex":0.000020905429,"about_ca_topic_score_gemma":5.7539205e-7,"teacher_disagreement_score":0.021926338,"about_ca_system_score_codex":0.000037094043,"about_ca_system_score_gemma":0.00004971058,"threshold_uncertainty_score":0.38177955},"labels":[],"label_agreement":null},{"id":"W2952640907","doi":"10.48550/arxiv.math/0407108","title":"Finite Hochschild cohomology without finite global dimension","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Cohomology; Dimension (graph theory); Mathematics; Pure mathematics; Algebra over a field","score_opus":0.0522518133980977,"score_gpt":0.31135023645464965,"score_spread":0.25909842305655195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952640907","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98352754,0.0004765502,0.0068578483,0.00046024818,0.005467722,0.0007031709,0.000059488364,0.00034896287,0.0020984383],"genre_scores_gemma":[0.996288,0.00007851507,0.0014692687,0.0005359213,0.0010639622,0.00006252636,0.00008017833,0.00009041875,0.0003312238],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99698853,0.00016261068,0.0007332334,0.0009986749,0.0004729115,0.00064403785],"domain_scores_gemma":[0.997219,0.00037255496,0.0005616558,0.0014432889,0.00018840731,0.0002150508],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002448609,0.00071198447,0.001023021,0.0000828895,0.00020308091,0.00006344516,0.0007444251,0.0010650372,0.00015886645],"category_scores_gemma":[0.0006847446,0.00064861274,0.0003855841,0.00017553265,0.0001502948,0.000071832634,0.0014483733,0.0011804847,0.00019324082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003089941,0.00041370702,0.30522996,0.0006423954,0.00078346336,0.00020850965,0.00087389123,0.0071481327,0.000029113997,0.6827175,0.0013185684,0.00032578866],"study_design_scores_gemma":[0.0012332504,0.00012305922,0.020035991,0.00036626478,0.00024827666,0.000029877247,0.000022659679,0.0003621513,0.00013029059,0.97636247,0.00039169352,0.00069404626],"about_ca_topic_score_codex":0.0002420002,"about_ca_topic_score_gemma":0.00004437721,"teacher_disagreement_score":0.29364496,"about_ca_system_score_codex":0.00034566905,"about_ca_system_score_gemma":0.00038414128,"threshold_uncertainty_score":0.99959654},"labels":[],"label_agreement":null},{"id":"W2953143335","doi":"10.48550/arxiv.1205.1518","title":"The Mock Modular Data of a Family of Superalgebras","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Type (biology); Pure mathematics; Uncountable set; Lie superalgebra; Affine transformation; Modular design; Fusion rules; Product (mathematics); Algebra over a field; Superalgebra; Character (mathematics); Affine Lie algebra; Image (mathematics); Computer science; Artificial intelligence; Current algebra; Programming language","score_opus":0.23534147278022022,"score_gpt":0.247596827362653,"score_spread":0.012255354582432793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953143335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.991593,0.00045659233,0.0054664104,0.000018739709,0.00086441985,0.0003278834,0.000097423304,0.000037346883,0.0011381991],"genre_scores_gemma":[0.9987921,0.00028922426,0.00024398392,0.000007521479,0.0001169027,5.1169434e-7,0.000027058422,0.000031623254,0.00049103366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853516,0.00013756772,0.00036566262,0.0005096001,0.0001598047,0.0002922195],"domain_scores_gemma":[0.9959382,0.00037415948,0.00047048074,0.002930531,0.0001952144,0.00009144663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038965425,0.00027194637,0.0005183957,0.00007433559,0.00010345639,0.000017168131,0.0023517192,0.00031048575,0.000030626],"category_scores_gemma":[0.00015575913,0.00022459489,0.00020806713,0.0002042086,0.00023053122,0.00014033672,0.0029806902,0.0004174152,0.0000039169995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058002937,0.000076239296,0.00065615546,0.00019402338,0.00027039234,0.0000054173993,0.00017410424,0.00079848233,0.000101309255,0.9972119,0.00038492164,0.00006906916],"study_design_scores_gemma":[0.00035967823,0.00002333589,0.0005817479,0.000079453144,0.00031108747,9.153515e-7,0.0002181773,0.006166181,0.0002285794,0.9916216,0.00018927752,0.0002199308],"about_ca_topic_score_codex":0.00024544593,"about_ca_topic_score_gemma":0.000017466002,"teacher_disagreement_score":0.0071991556,"about_ca_system_score_codex":0.000053011187,"about_ca_system_score_gemma":0.00015534791,"threshold_uncertainty_score":0.9158714},"labels":[],"label_agreement":null},{"id":"W2953195064","doi":"10.48550/arxiv.0710.2064","title":"Reduction of structure for torsors over semilocal rings","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Alberta","funders":"","keywords":"Surjective function; Mathematics; Ring (chemistry); Reduction (mathematics); Pure mathematics; Group (periodic table); Affine transformation; Scheme (mathematics); Noetherian ring; Prime (order theory); Combinatorics; Discrete mathematics; Algebra over a field; Physics; Chemistry; Finitely-generated abelian group; Geometry","score_opus":0.062433225534465835,"score_gpt":0.3353167847367809,"score_spread":0.27288355920231505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953195064","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913217,0.0001480899,0.0029713537,0.00004949049,0.004421267,0.00070928014,0.000053622956,0.00008924242,0.00023595394],"genre_scores_gemma":[0.99537545,0.000016248754,0.0026781012,0.000032762386,0.0013958175,0.000028563105,0.000036553283,0.00007706845,0.00035943463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981672,0.00003040863,0.00060385716,0.00052139035,0.0003432151,0.00033393002],"domain_scores_gemma":[0.9982999,0.00015597753,0.00053935364,0.00070335326,0.00021145771,0.00008998165],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00022437733,0.0003724176,0.0006114288,0.000117137075,0.00007682427,0.000019505753,0.00037944262,0.0007739626,0.00014246127],"category_scores_gemma":[0.00022370866,0.00034086822,0.0003233458,0.00010309079,0.00007519347,0.000060163646,0.00033675224,0.00060288474,0.0000015219075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008969022,0.00030310577,0.04095847,0.0050161853,0.0012654508,0.000008916858,0.0048671374,0.0008598475,0.011040041,0.91924936,0.013119051,0.0024155122],"study_design_scores_gemma":[0.0006047414,0.000080705126,0.005431535,0.00019558393,0.00018751343,0.000007211828,0.000103447484,0.00011219773,0.022538573,0.96974266,0.00060209766,0.00039372],"about_ca_topic_score_codex":0.000089798654,"about_ca_topic_score_gemma":0.0000065596314,"teacher_disagreement_score":0.050493296,"about_ca_system_score_codex":0.00013834325,"about_ca_system_score_gemma":0.00010261561,"threshold_uncertainty_score":0.99990433},"labels":[],"label_agreement":null},{"id":"W2953198702","doi":"10.48550/arxiv.math/0305293","title":"Weight modules over exp-polynomial Lie algebras","year":2003,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; Carleton University","funders":"","keywords":"Mathematics; Polynomial; Pure mathematics; Verma module; Lie algebra; Class (philosophy); Algebra over a field; Multiplication (music); Combinatorics; Computer science; Mathematical analysis","score_opus":0.053973136842121475,"score_gpt":0.2946387732286671,"score_spread":0.24066563638654564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953198702","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9836264,0.00075978757,0.00055930944,0.00017854707,0.007908149,0.00058554113,0.000028236558,0.00025771387,0.006096291],"genre_scores_gemma":[0.99312574,0.0001406962,0.0014060057,0.00034579585,0.0022090692,0.00011563412,0.000032902713,0.00016838885,0.0024557847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968455,0.00015496113,0.00076887175,0.0010057188,0.0005522292,0.00067273923],"domain_scores_gemma":[0.99727273,0.00023431437,0.00047648037,0.0016563705,0.00012363942,0.0002364385],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00024390238,0.0007672532,0.00095226197,0.00012952532,0.00019463131,0.00011046203,0.000874819,0.0009832554,0.001176337],"category_scores_gemma":[0.00028784282,0.00069905765,0.0005128896,0.0001296981,0.00010983029,0.00011773022,0.0009350162,0.0011920372,0.00016802139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011625707,0.00037256282,0.04744919,0.0005582926,0.00080477115,0.00007314143,0.0009923547,0.000033983273,0.0003421584,0.8669352,0.08167433,0.0006477879],"study_design_scores_gemma":[0.00090957654,0.00004731302,0.013479683,0.00016149663,0.0002091879,0.000009723523,0.000032274827,0.000056917972,0.0018406372,0.9740227,0.00830906,0.00092145],"about_ca_topic_score_codex":0.00009115123,"about_ca_topic_score_gemma":0.000012743099,"teacher_disagreement_score":0.107087515,"about_ca_system_score_codex":0.00020815732,"about_ca_system_score_gemma":0.00021526865,"threshold_uncertainty_score":0.9997367},"labels":[],"label_agreement":null},{"id":"W2953377725","doi":"10.48550/arxiv.1307.4288","title":"Strong global dimension of commutative rings and schemes","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Global dimension; Indecomposable module; Noetherian; Mathematics; Dimension (graph theory); Local ring; Infimum and supremum; Pure mathematics; Commutative property; Noetherian ring; Krull dimension; Dimension theory (algebra); Characterization (materials science); Ring (chemistry); Discrete mathematics; Algebra over a field; Physics","score_opus":0.08330246995489801,"score_gpt":0.22863213522149647,"score_spread":0.14532966526659846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953377725","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9920406,0.00008553447,0.0058829105,0.000014957243,0.00025606505,0.00027657393,0.00002016973,0.000052094045,0.0013711096],"genre_scores_gemma":[0.9989251,0.000047970265,0.00079668115,0.00000871378,0.000029629695,5.803251e-7,0.000005463632,0.000014810577,0.000171033],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904674,0.00007306581,0.00018850193,0.00042336775,0.00008097558,0.00018731641],"domain_scores_gemma":[0.998821,0.00013938996,0.00032362412,0.00046443875,0.00015763253,0.00009386522],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00008053977,0.0002494392,0.0004255601,0.00005098176,0.00007442717,0.000022956476,0.00032058073,0.0002571614,0.000049573737],"category_scores_gemma":[0.00005432023,0.00025478652,0.00011412007,0.00011677903,0.00018371428,0.00009999668,0.001159259,0.00030487313,0.000003775436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033270167,0.000036819747,0.0032949182,0.00015872948,0.00013835765,0.000009901516,0.00021017426,0.0006859187,0.0000101449095,0.99524444,0.00009552421,0.00008178672],"study_design_scores_gemma":[0.0005044998,0.000047044316,0.001078383,0.00014173756,0.00014659582,0.0000016718848,0.00032277088,0.007526213,0.0001616419,0.98982,0.00001889603,0.0002305583],"about_ca_topic_score_codex":0.00029894788,"about_ca_topic_score_gemma":0.000011317046,"teacher_disagreement_score":0.006884532,"about_ca_system_score_codex":0.00011145031,"about_ca_system_score_gemma":0.00005859827,"threshold_uncertainty_score":0.99999046},"labels":[],"label_agreement":null},{"id":"W2953435895","doi":"10.48550/arxiv.0709.0975","title":"Multiloop realization of extended affine Lie algebras and Lie tori","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Victoria","funders":"","keywords":"Affine Lie algebra; Pure mathematics; Mathematics; Lie algebra; Lie conformal algebra; Realization (probability); Killing form; Affine transformation; Adjoint representation of a Lie algebra; Non-associative algebra; Algebra over a field; Current algebra","score_opus":0.08129164523485591,"score_gpt":0.33803247655455315,"score_spread":0.25674083131969727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953435895","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99092436,0.00067582953,0.004392434,0.000072681985,0.0017704683,0.00054177945,0.00001715154,0.00013314623,0.0014721393],"genre_scores_gemma":[0.996511,0.000325826,0.0016831994,0.00006927761,0.0006883137,0.000024119943,0.000050079503,0.00007754358,0.0005706526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979142,0.000068100686,0.00072678365,0.0005783681,0.0003902597,0.00032229195],"domain_scores_gemma":[0.9979062,0.0002721864,0.0005852159,0.0008512756,0.0002554557,0.0001296564],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003565055,0.0004093797,0.00069478713,0.00014505917,0.000079957375,0.00003204584,0.00034632307,0.0006203317,0.00013677585],"category_scores_gemma":[0.0005177885,0.00038180506,0.00015408792,0.00014867044,0.000086758606,0.000071405455,0.000628875,0.00047324592,0.000006212116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013817244,0.00025783843,0.023137856,0.001019462,0.00028225326,0.000017538545,0.0013640632,0.000022687502,0.0006806951,0.9687174,0.0011073133,0.0032547016],"study_design_scores_gemma":[0.000806679,0.00009031343,0.028276313,0.00027600466,0.0001874812,0.000005885435,0.00007816805,0.00013464298,0.003573534,0.96569103,0.00044746042,0.0004324702],"about_ca_topic_score_codex":0.00015570177,"about_ca_topic_score_gemma":0.00003002668,"teacher_disagreement_score":0.005586618,"about_ca_system_score_codex":0.0000788311,"about_ca_system_score_gemma":0.000099157754,"threshold_uncertainty_score":0.9998634},"labels":[],"label_agreement":null},{"id":"W2954634301","doi":"10.1007/jhep04(2020)114","title":"Conformal two-point correlation functions from the operator product expansion","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Conformal map; Operator product expansion; Unitarity; Embedding; Formalism (music); Lorentz transformation; Mathematics; Point (geometry); Pure mathematics; Mathematical analysis; Physics; Mathematical physics; Classical mechanics; Quantum mechanics; Geometry; Computer science","score_opus":0.02345088926946746,"score_gpt":0.24123965088723967,"score_spread":0.21778876161777222,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2954634301","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7080158,0.00018587915,0.28538814,0.002990082,0.0030155089,0.00009337367,0.000011640693,0.00003291549,0.00026666568],"genre_scores_gemma":[0.99468946,0.000017512373,0.0007738936,0.00064235495,0.0038013153,0.0000021832907,0.0000074777863,0.00001927981,0.00004652423],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897605,0.00006450553,0.00039373554,0.00010782936,0.00034181905,0.00011608717],"domain_scores_gemma":[0.9989193,0.0001822713,0.0003897158,0.00018453797,0.00023812619,0.0000860644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009252302,0.00013069682,0.00024166759,0.000010587542,0.00014473387,0.000051655767,0.00020522672,0.00003895165,0.00005710504],"category_scores_gemma":[0.00010634746,0.00007955922,0.00013286463,0.0001307454,0.000031020543,0.000302658,0.000053220923,0.0002556845,0.0000046949085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010740951,0.000043481585,0.000051436713,0.000004035931,0.000102173566,0.0000034961308,0.00071145577,0.003953167,0.00039000646,0.9817379,0.010365466,0.0025299576],"study_design_scores_gemma":[0.0010716154,0.00018232476,0.00018123315,0.000029173141,0.00013415502,0.00001023474,0.00024632204,0.0016208078,0.004548154,0.9893806,0.002463711,0.00013166529],"about_ca_topic_score_codex":0.00005633115,"about_ca_topic_score_gemma":0.000003663444,"teacher_disagreement_score":0.28667367,"about_ca_system_score_codex":0.00003072516,"about_ca_system_score_gemma":0.000106159634,"threshold_uncertainty_score":0.3244331},"labels":[],"label_agreement":null},{"id":"W2955577855","doi":"10.46298/dmtcs.6359","title":"A Hopf algebra of subword complexes (Extended abstract)","year":2020,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Austrian Science Fund; York University; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Hopf algebra; Mathematics; Representation theory of Hopf algebras; Algebra over a field; Pure mathematics; Filtered algebra; Division algebra","score_opus":0.027647728721726144,"score_gpt":0.28687176519668234,"score_spread":0.2592240364749562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955577855","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5460253,0.000029928698,0.44699472,0.0012748901,0.00037409563,0.00050623517,0.000012910771,0.00020929826,0.0045726215],"genre_scores_gemma":[0.8774474,0.0000026284847,0.122075565,0.00025885072,0.00017034516,0.000007657275,0.0000017167957,0.00003304262,0.0000027718331],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99673754,0.00005052325,0.0008220318,0.0006095816,0.0011851724,0.00059514807],"domain_scores_gemma":[0.9974766,0.0007477538,0.00033769457,0.00074476295,0.0002606424,0.00043256307],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007463166,0.00035196292,0.0006977138,0.00009595637,0.00024099692,0.00022383832,0.0016190875,0.00010001952,0.00040280266],"category_scores_gemma":[0.0006288637,0.0002682139,0.00022473608,0.00073842116,0.002690195,0.0002961792,0.00073194434,0.00029410436,0.000025366902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024139368,0.00009982889,0.000007251275,0.00021070703,0.000025173214,0.000005926573,0.0026812505,0.000009639967,0.0012763888,0.9948783,0.000094801144,0.00068657205],"study_design_scores_gemma":[0.0003668197,0.00022436949,0.0000900013,0.000092838454,0.000043818858,0.000011654447,0.00018865375,0.05502372,0.005814856,0.93782026,0.000016996059,0.00030599872],"about_ca_topic_score_codex":0.000002332971,"about_ca_topic_score_gemma":3.199141e-7,"teacher_disagreement_score":0.33142212,"about_ca_system_score_codex":0.000027454918,"about_ca_system_score_gemma":0.00012250208,"threshold_uncertainty_score":0.999977},"labels":[],"label_agreement":null},{"id":"W2960407415","doi":"10.4171/jems/1176","title":"Coulomb branches of quiver gauge theories with symmetrizers","year":2021,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Japan Society for the Promotion of Science; Institut Périmètre de physique théorique; Government of Canada; Ministry of Education, Culture, Sports, Science and Technology; Innovation, Science and Economic Development Canada","keywords":"Quiver; Mathematics; Coulomb; Gauge theory; Gauge (firearms); Mathematical physics; Gauge fixing; Pure mathematics; Theoretical physics; Algebra over a field; Quantum mechanics; Physics; Gauge boson; Geography","score_opus":0.017805585391634064,"score_gpt":0.2519441039791774,"score_spread":0.2341385185875433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2960407415","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95949435,0.00035832936,0.017590512,0.0009818921,0.00052360434,0.00016250243,0.000006943694,0.00002317178,0.020858683],"genre_scores_gemma":[0.98500645,0.000029308558,0.01396056,0.00013737034,0.00024380643,4.0111246e-7,1.7401167e-7,0.000039478113,0.0005824247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980688,0.00034653774,0.0006203236,0.000114276976,0.000662323,0.00018774907],"domain_scores_gemma":[0.99770707,0.00075571885,0.0006749167,0.00039786965,0.00037858705,0.000085816435],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011888057,0.0001689724,0.0004779705,0.000014948218,0.00010627284,0.0000428221,0.00047885883,0.000052311585,0.00013940653],"category_scores_gemma":[0.0008505212,0.00008580352,0.0006194968,0.00027821554,0.0002712628,0.00009470953,0.0001786388,0.00035681628,0.000003951465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036058802,0.00018790446,0.0001477234,0.00028457347,0.00041942648,0.000018208038,0.0028265333,0.0000068669747,0.00060536026,0.99194413,0.0032089807,0.00031424273],"study_design_scores_gemma":[0.000784206,0.000084932704,0.0003745628,0.00034075708,0.00023209763,0.00017755918,0.0013662623,0.000020966776,0.004358549,0.9917532,0.00038825572,0.00011865807],"about_ca_topic_score_codex":4.138595e-7,"about_ca_topic_score_gemma":1.806524e-7,"teacher_disagreement_score":0.025512116,"about_ca_system_score_codex":0.000040369177,"about_ca_system_score_gemma":0.00009974975,"threshold_uncertainty_score":0.3498966},"labels":[],"label_agreement":null},{"id":"W2962678789","doi":"10.1016/j.aim.2008.09.017","title":"Hopf algebras of primitive Lie pseudogroups and Hopf cyclic cohomology","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Hopf algebra; Mathematics; Quasitriangular Hopf algebra; Pure mathematics; Algebra over a field; Cohomology; Representation theory of Hopf algebras; Quantum group; Filtered algebra; Division algebra","score_opus":0.02476207780987869,"score_gpt":0.2961048347906243,"score_spread":0.2713427569807456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962678789","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9902636,0.0017625728,0.0027586143,0.000043168042,0.00026988288,0.0003619506,0.0000052731575,0.000052161315,0.0044827764],"genre_scores_gemma":[0.96102697,0.0017392865,0.03693659,0.000042662985,0.000063016545,0.000033040764,0.0000018774646,0.000037975766,0.000118569005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840736,0.0000594612,0.00063959236,0.00028590192,0.00028882755,0.00031882778],"domain_scores_gemma":[0.9980458,0.0010375542,0.0003665662,0.00040168868,0.000077812896,0.00007055042],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002158521,0.00025184543,0.0006594723,0.0001239353,0.000092919036,0.000007468668,0.0002552492,0.00015893295,0.00004913175],"category_scores_gemma":[0.0005206124,0.00021982433,0.00007807782,0.00022756711,0.00040006614,0.0002256083,0.0001372165,0.00021726897,0.0000043809246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021147984,0.00021151718,0.0023838475,0.00036773377,0.000033818673,0.000027661965,0.00404664,0.000012876956,0.000105340514,0.9916771,0.00004821351,0.0010641263],"study_design_scores_gemma":[0.00074756914,0.000115762086,0.0012516219,0.00012195656,0.000032976117,0.00015723279,0.0005447497,0.00019945634,0.0008943169,0.9955599,0.00014718767,0.00022731567],"about_ca_topic_score_codex":0.0000060946727,"about_ca_topic_score_gemma":0.000011839617,"teacher_disagreement_score":0.034177974,"about_ca_system_score_codex":0.000037333495,"about_ca_system_score_gemma":0.00003883876,"threshold_uncertainty_score":0.8964176},"labels":[],"label_agreement":null},{"id":"W2962689386","doi":"10.4153/cmb-2008-027-7","title":"On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Torus; Automorphism; Invertible matrix; Pure mathematics; Group (periodic table); Field (mathematics); Quantum; Automorphism group; Algebra over a field; Quantum mechanics; Geometry; Physics","score_opus":0.029184201092861257,"score_gpt":0.22770844846659916,"score_spread":0.1985242473737379,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962689386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98968923,0.00005081394,0.00041842894,0.007867687,0.00011921861,0.0004253297,0.00003685707,0.000011637235,0.0013807883],"genre_scores_gemma":[0.99931544,0.000006404558,0.0001816756,0.00030034524,0.00006772505,0.000007650714,0.000003422288,0.000016607433,0.000100729914],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988663,0.00013501862,0.00039108584,0.00014816223,0.0002824096,0.00017698483],"domain_scores_gemma":[0.9970182,0.0021652507,0.00019443588,0.00040558891,0.000104545856,0.00011196421],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00029955816,0.0001505468,0.00031647383,0.000047721096,0.00019858511,0.000012949384,0.00027321454,0.000111128385,0.0019803618],"category_scores_gemma":[0.0009457718,0.00007495833,0.000087126165,0.00010020575,0.00060497643,0.000013715507,0.000026232297,0.00019236478,0.000018807377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002648299,0.000014785593,0.000006956116,0.00003926098,0.000029397908,8.867504e-7,0.00117515,0.0000014878293,0.00013903661,0.99352944,0.0050115082,0.00002562652],"study_design_scores_gemma":[0.000438457,0.000033522243,0.0004168591,0.00004092461,0.000021866754,0.000024837302,0.00026741432,0.00083811977,0.0003400366,0.9971331,0.00036284933,0.00008206424],"about_ca_topic_score_codex":0.00017005778,"about_ca_topic_score_gemma":0.00010503951,"teacher_disagreement_score":0.0096262,"about_ca_system_score_codex":0.00004277524,"about_ca_system_score_gemma":0.00013964539,"threshold_uncertainty_score":0.99893194},"labels":[],"label_agreement":null},{"id":"W2962705146","doi":"10.1080/00927872.2019.1612421","title":"On the module structure of the center of hyperelliptic Krichever–Novikov algebras II","year":2019,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Simons Foundation","keywords":"Mathematics; Invertible matrix; Hyperelliptic curve; Dihedral group; Center (category theory); Extension (predicate logic); Combinatorics; Algebraically closed field; Novikov self-consistency principle; Pure mathematics; Group (periodic table); Algebra over a field; Crystallography","score_opus":0.0320332099716,"score_gpt":0.2835211457573923,"score_spread":0.2514879357857923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962705146","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9935639,0.0002056008,0.000019995989,0.0014021554,0.00034156794,0.00057574944,0.00001997969,0.000016022317,0.0038550396],"genre_scores_gemma":[0.99864966,0.000039068964,0.0008027242,0.00021201152,0.000016467306,0.000014044885,0.00000472989,0.000025893607,0.00023537519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857926,0.00026066613,0.0004946749,0.0001719351,0.00031170258,0.00018174131],"domain_scores_gemma":[0.9945516,0.0010229914,0.00033020886,0.0039637405,0.00010734499,0.00002411898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021116686,0.00017079677,0.00030371084,0.00007109592,0.00018531056,0.000011666416,0.0024912641,0.00012563041,0.0002848089],"category_scores_gemma":[0.00033690102,0.00009953453,0.00014624452,0.00045065914,0.00026201754,0.000057881836,0.000983046,0.0004673578,0.000007794345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012004163,0.0001622199,0.0025031813,0.000031059688,0.000038224738,3.3555203e-8,0.0007683377,0.000035728386,0.00087513693,0.99496853,0.0004235401,0.00018198666],"study_design_scores_gemma":[0.00046687652,0.000051987226,0.0037019886,0.00012720963,0.000023004673,0.0000020088892,0.00017392547,0.00045043798,0.0035269936,0.9909841,0.00038073404,0.000110759895],"about_ca_topic_score_codex":0.000031482927,"about_ca_topic_score_gemma":0.000038057624,"teacher_disagreement_score":0.0050857957,"about_ca_system_score_codex":0.000055153996,"about_ca_system_score_gemma":0.00006246388,"threshold_uncertainty_score":0.46294302},"labels":[],"label_agreement":null},{"id":"W2962728738","doi":"10.1007/s11425-016-9100-8","title":"On structure of cluster algebras of geometric type I: In view of sub-seeds and seed homomorphisms","year":2017,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Categorification; Cluster algebra; Cluster (spacecraft); Type (biology); Quotient; Homomorphism; Pure mathematics; Point (geometry); Algebra over a field; Combinatorics; Geometry; Computer science","score_opus":0.0235403431790222,"score_gpt":0.29498961209874663,"score_spread":0.27144926891972443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962728738","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99842274,0.00009169356,0.0002626299,0.000035479115,0.0002914406,0.00029104558,0.000008056704,0.000007125578,0.0005897926],"genre_scores_gemma":[0.99549013,0.000032836026,0.00441777,0.0000075409075,0.00001447596,0.0000011760121,4.1934658e-7,0.00001541024,0.00002024291],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982879,0.000022573146,0.0005777504,0.00023599855,0.0006433841,0.00023238687],"domain_scores_gemma":[0.99773586,0.00026935546,0.0008360984,0.0009003981,0.00019082766,0.000067454836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006456116,0.0001799796,0.00060750666,0.00039603788,0.00012259862,0.000038111673,0.00082817633,0.00010113338,0.000025554433],"category_scores_gemma":[0.0020301654,0.00013382369,0.000057923135,0.00070789293,0.0008732066,0.00019755746,0.0002785663,0.0001500489,5.943116e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002631089,0.0001637068,0.0014628356,0.0010161801,0.000017062619,0.0000011043632,0.0020278513,0.000028309509,0.012438088,0.98225176,0.000013181383,0.00055360625],"study_design_scores_gemma":[0.0004946184,0.00019743059,0.020052418,0.00032672245,0.000026534202,0.000006767627,0.00010487852,0.00074755226,0.046523977,0.9313941,6.304222e-7,0.00012439182],"about_ca_topic_score_codex":0.000020171665,"about_ca_topic_score_gemma":0.000007340603,"teacher_disagreement_score":0.050857686,"about_ca_system_score_codex":0.000028723653,"about_ca_system_score_gemma":0.00011138382,"threshold_uncertainty_score":0.5457172},"labels":[],"label_agreement":null},{"id":"W2962752683","doi":"10.4134/jkms.j180190","title":"Combinatorial Auslander-Reiten quivers and reduced expressions","year":2019,"lang":"en","type":"article","venue":"Journal of the Korean Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Quiver; Mathematics; Multiplication (music); Class (philosophy); Combinatorial proof; Regular polygon; Representation theory; Reflection (computer programming); Order (exchange); Representation (politics); Weyl group; Object (grammar); Pure mathematics; Symmetry (geometry); Algebra over a field; Combinatorics; Computer science; Geometry","score_opus":0.02055161137423143,"score_gpt":0.2741984939849585,"score_spread":0.25364688261072704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962752683","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9944853,0.000042474636,0.00038430013,0.00084301695,0.0014775926,0.00024831714,0.0000019814697,0.00001850196,0.0024984807],"genre_scores_gemma":[0.9959444,0.000013755147,0.0030481743,0.00010382305,0.00034094058,0.0000017198272,1.9330365e-7,0.000025167417,0.00052184676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984178,0.000095110016,0.0005239184,0.00013795085,0.0005915114,0.00023370066],"domain_scores_gemma":[0.99821484,0.0006648843,0.00048415357,0.00035938667,0.00012649357,0.0001502216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058355683,0.00018156174,0.0004673814,0.000018424875,0.00015605148,0.000055046832,0.00045146828,0.00016400531,0.00020581346],"category_scores_gemma":[0.0004103148,0.00009836476,0.0005092591,0.00011487755,0.00012336549,0.00013294448,0.00023161211,0.00046142138,0.0000057707452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047705846,0.00014078467,0.00022843058,0.00014659623,0.00021570681,0.0000017385387,0.0027436125,0.000003998896,0.0021708808,0.98134965,0.012862122,0.00008878413],"study_design_scores_gemma":[0.0013268057,0.00009143175,0.00025440182,0.00020723493,0.00012493493,0.00007346894,0.0007786519,0.00018428982,0.00063470687,0.9959278,0.00026670762,0.00012952911],"about_ca_topic_score_codex":0.0000015709763,"about_ca_topic_score_gemma":9.945118e-8,"teacher_disagreement_score":0.014578197,"about_ca_system_score_codex":0.00006693706,"about_ca_system_score_gemma":0.0000684699,"threshold_uncertainty_score":0.40111986},"labels":[],"label_agreement":null},{"id":"W2962761889","doi":"10.1090/s1088-4173-10-00206-7","title":"Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface","year":2010,"lang":"en","type":"article","venue":"Conformal Geometry and Dynamics of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Holomorphic function; Type (biology); Mathematics; Riemann surface; Boundary (topology); Annotation; Algorithm; Pure mathematics; Mathematical analysis; Computer science; Artificial intelligence; Geology","score_opus":0.007028454196052156,"score_gpt":0.2542275170861037,"score_spread":0.24719906289005153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962761889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9790446,0.00006809066,0.019192563,0.00085810444,0.000114415314,0.00045491284,0.00008280742,0.00001560843,0.00016887588],"genre_scores_gemma":[0.9857242,0.000018296767,0.013859725,0.000083047715,0.000030733183,0.0000063523735,0.000002359612,0.00002005273,0.00025524382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989113,0.000021212622,0.00037432255,0.00016925768,0.0002649021,0.00025900154],"domain_scores_gemma":[0.9972415,0.0016583748,0.00044774482,0.00042675147,0.0001487356,0.00007689989],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003682133,0.00021008687,0.00052046106,0.000013949314,0.0002137556,0.000034270153,0.00038533044,0.00012116732,0.00005765201],"category_scores_gemma":[0.0003816619,0.00011328792,0.0002409513,0.00025634337,0.0018392877,0.0000728852,0.000317581,0.0003378301,2.1363613e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007409433,0.00004756639,0.00045012773,0.00053825846,0.00024284958,6.16005e-8,0.0008341251,0.00007319713,0.0002938419,0.9941314,0.00028043575,0.003034049],"study_design_scores_gemma":[0.00059297745,0.00013626691,0.001043443,0.00003696605,0.00019423614,0.000015851794,0.0023618408,0.086208485,0.00082991197,0.9081879,0.00019600606,0.00019609978],"about_ca_topic_score_codex":0.000035530207,"about_ca_topic_score_gemma":0.000009358664,"teacher_disagreement_score":0.08613528,"about_ca_system_score_codex":0.000011901467,"about_ca_system_score_gemma":0.000040919014,"threshold_uncertainty_score":0.6776932},"labels":[],"label_agreement":null},{"id":"W2962820167","doi":"10.1007/s00229-018-1058-4","title":"Push-pull operators on the formal affine Demazure algebra and its dual","year":2018,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Algebra over a field; Pairing; Affine transformation; Dual (grammatical number); Pure mathematics; Langlands dual group; Conjecture","score_opus":0.05292420067924291,"score_gpt":0.27544793633505305,"score_spread":0.22252373565581013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962820167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9751844,0.00010922387,0.00037769182,0.002335116,0.001031857,0.0007969494,0.000010597803,0.00018312183,0.01997104],"genre_scores_gemma":[0.9937507,0.000009826146,0.0011246656,0.00092891505,0.00068747636,0.00007806087,0.0000019795432,0.00007030343,0.0033480667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790937,0.00009076835,0.00049308495,0.00040623973,0.0005172946,0.00058326445],"domain_scores_gemma":[0.99844563,0.00036450932,0.00016351152,0.00072891946,0.00013911954,0.00015831528],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00052862667,0.00039709802,0.00044594787,0.00007958993,0.00052890583,0.00019571246,0.00044829774,0.00017745736,0.0010810664],"category_scores_gemma":[0.00067729724,0.00024066716,0.000114248214,0.00019879705,0.00017822474,0.00025356686,0.00033754978,0.0002976989,0.00023293495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032869626,0.00008288123,0.0000064083656,0.00009911682,0.00006686624,0.0000071180407,0.0014893742,9.830625e-8,0.00019215416,0.9793621,0.018340673,0.00032035905],"study_design_scores_gemma":[0.00055018923,0.00035580844,0.0000681517,0.00012164362,0.00009016624,0.00007199325,0.0004973311,0.00095698645,0.00460037,0.9874253,0.0049105007,0.0003515532],"about_ca_topic_score_codex":0.0000048855018,"about_ca_topic_score_gemma":0.00000922626,"teacher_disagreement_score":0.018566303,"about_ca_system_score_codex":0.000037515776,"about_ca_system_score_gemma":0.000033696357,"threshold_uncertainty_score":0.9998321},"labels":[],"label_agreement":null},{"id":"W2962846322","doi":"10.4153/s0008439518000607","title":"On Knörrer Periodicity for Quadric Hypersurfaces in Skew Projective Spaces","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quadric; Combinatorics; Degree (music); Skew; Polynomial; Mathematical analysis; Physics","score_opus":0.03494201409543248,"score_gpt":0.2999668294133249,"score_spread":0.26502481531789246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962846322","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9700569,0.000029291805,0.0010010015,0.0033155489,0.00033392385,0.0011873977,0.000020638481,0.000059015372,0.023996307],"genre_scores_gemma":[0.99346393,0.0000011285608,0.004272398,0.00056480116,0.0002130892,0.00014688098,0.0000021969213,0.000046389992,0.0012891646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983708,0.000066366985,0.0003398656,0.0003911415,0.0002359944,0.00059581123],"domain_scores_gemma":[0.99826324,0.00085431663,0.00008461024,0.00034982417,0.00012023931,0.00032775739],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003841031,0.00025787274,0.00042286914,0.00018180418,0.0002003544,0.0000883603,0.00027912873,0.00019352692,0.0042181704],"category_scores_gemma":[0.0017995806,0.00021407394,0.00010856871,0.00019114694,0.00020750171,0.000026676253,0.000028437546,0.0001987234,0.0009792593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048740065,0.00006231161,0.000040847048,0.00010265895,0.000022171109,0.000006269786,0.0015759559,8.8098955e-7,0.00000857701,0.9852597,0.012676656,0.00019522369],"study_design_scores_gemma":[0.00058808364,0.0002818737,0.00008927125,0.00013251706,0.000021771966,0.000006002574,0.00045312123,0.00023251196,0.00019660818,0.98607415,0.0116447825,0.00027932736],"about_ca_topic_score_codex":0.0010814302,"about_ca_topic_score_gemma":0.0030340522,"teacher_disagreement_score":0.023407074,"about_ca_system_score_codex":0.00027434205,"about_ca_system_score_gemma":0.00024927707,"threshold_uncertainty_score":0.9997986},"labels":[],"label_agreement":null},{"id":"W2962849372","doi":"10.4310/hha.2010.v12.n1.a9","title":"Hopf cyclic cohomology in braided monoidal categories","year":2010,"lang":"en","type":"article","venue":"Homology Homotopy and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Pure mathematics; Symmetric monoidal category; Cohomology; Cyclic homology; Functor","score_opus":0.012990162736497071,"score_gpt":0.291699067383407,"score_spread":0.27870890464690995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962849372","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993915,0.00010077228,0.0023187534,0.0007194506,0.0002699875,0.0005417372,0.0000064948545,0.00008810646,0.0020397028],"genre_scores_gemma":[0.9968735,0.000030309098,0.0017846067,0.00015888727,0.00021624439,0.00064668426,0.000011299205,0.00002039556,0.00025807848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891853,0.000050598283,0.00030218813,0.00035450511,0.000073646486,0.0003005544],"domain_scores_gemma":[0.99898523,0.00035334335,0.00009727753,0.00043090185,0.000042765638,0.00009047015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016168867,0.00017276945,0.0002986716,0.00010834445,0.00018492017,0.000022437767,0.00023164751,0.00030956557,0.00010856737],"category_scores_gemma":[0.00008432014,0.00016374615,0.000045686505,0.00019663981,0.00037071688,0.00006495184,0.0000961658,0.0004621022,0.000016943652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001051257,0.00008429845,0.0056520915,0.00001387264,0.00001277981,0.0000048760826,0.0002788077,5.7760394e-7,0.001488716,0.9900705,0.00009985628,0.0022830686],"study_design_scores_gemma":[0.00050369,0.000038260485,0.008658085,0.0000019550287,0.000019228472,0.00012669722,0.00007636994,0.00002607285,0.0006709629,0.9834292,0.0062797144,0.00016978233],"about_ca_topic_score_codex":0.0001102275,"about_ca_topic_score_gemma":0.00047089581,"teacher_disagreement_score":0.0066413614,"about_ca_system_score_codex":0.000012812567,"about_ca_system_score_gemma":0.00005025695,"threshold_uncertainty_score":0.6677375},"labels":[],"label_agreement":null},{"id":"W2962855566","doi":"10.4171/qt/117","title":"Categorification of quantum symmetric pairs I","year":2018,"lang":"en","type":"article","venue":"Quantum Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Categorification; Mathematics; Morphism; Cohomology; Pure mathematics; Subalgebra; Categorical variable; Flag (linear algebra); Algebra over a field; Quantum group; Indecomposable module; Monoidal category; Group (periodic table)","score_opus":0.046858740600703,"score_gpt":0.320408522011063,"score_spread":0.27354978141036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962855566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9853074,0.00014656982,0.008236347,0.00039088322,0.0023999256,0.00016879445,0.0000030245328,0.00008391671,0.0032631452],"genre_scores_gemma":[0.99900174,0.000016569722,0.0003944707,0.000053844098,0.00036593422,0.000010942841,0.00000318006,0.000021090913,0.00013224021],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988353,0.000099614874,0.0003907035,0.00024003512,0.00016972578,0.0002645996],"domain_scores_gemma":[0.9987637,0.0002969559,0.0002374422,0.0004588975,0.00018645237,0.00005658066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024794156,0.00013646563,0.00031298056,0.00017165627,0.00008885433,0.0000063159264,0.00026719284,0.00018433732,0.00027775884],"category_scores_gemma":[0.0004435698,0.00011762953,0.00008113121,0.00037239774,0.00031170726,0.000048574413,0.00005274287,0.00011343521,0.000049548526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029335613,0.000055175686,0.00022143578,0.0000314047,0.000025952844,0.0000010098896,0.00033143058,1.811666e-7,0.00063427386,0.99707747,0.0011871002,0.00040524727],"study_design_scores_gemma":[0.00029280866,0.00040816687,0.0008190083,0.000005752036,0.000031667834,0.000011035049,0.00023144293,0.0011300852,0.005255414,0.9909139,0.0007770212,0.00012366433],"about_ca_topic_score_codex":0.00019122087,"about_ca_topic_score_gemma":0.000007791022,"teacher_disagreement_score":0.013694334,"about_ca_system_score_codex":0.00003219196,"about_ca_system_score_gemma":0.000055401346,"threshold_uncertainty_score":0.47967932},"labels":[],"label_agreement":null},{"id":"W2962914777","doi":"10.4153/cmb-2013-042-6","title":"Classification of Integral Modular Categories of Frobenius–Perron Dimension <i>pq</i><sup>4</sup> and <i>p</i><sup>2</sup><i>q</i><sup>2</sup>","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Consejo Nacional de Investigaciones Científicas y Técnicas; Agencia Nacional de Promoción Científica y Tecnológica; DePaul University; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics; Dimension (graph theory); Group (periodic table); Pure mathematics; Quantum; Modular design; Modular group; Combinatorics; Algebra over a field; Quantum mechanics; Physics","score_opus":0.016807229500295163,"score_gpt":0.22864248167188547,"score_spread":0.2118352521715903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962914777","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9908873,0.0003947758,0.0017546846,0.0024912145,0.0001289125,0.0015807805,0.00009669507,0.00012302445,0.0025426392],"genre_scores_gemma":[0.9919797,0.000036986647,0.00610242,0.0003848343,0.00021378181,0.00016876505,0.00007130437,0.00017012197,0.0008720943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99487126,0.0003114218,0.0017867065,0.00093840953,0.00092965085,0.0011625291],"domain_scores_gemma":[0.99532825,0.00097544974,0.00053838885,0.0014576768,0.000615319,0.0010849264],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007310541,0.0008581898,0.0015901319,0.00039776662,0.0003036442,0.00016165987,0.0008090737,0.00075247895,0.004336908],"category_scores_gemma":[0.0014568836,0.0007497198,0.00038411526,0.00045567134,0.00075977226,0.00023281612,0.00023625567,0.0007301156,0.0005022467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000102796206,0.00039748335,0.00042856904,0.0017561693,0.0003308572,0.000025128964,0.010930245,0.0014180985,0.00097352493,0.9511011,0.031037789,0.0014982013],"study_design_scores_gemma":[0.0018301208,0.00036952904,0.0001974902,0.0006388299,0.00035066038,0.000080225414,0.0057333643,0.08043908,0.0013278447,0.90148365,0.0064501995,0.0010990278],"about_ca_topic_score_codex":0.0045116236,"about_ca_topic_score_gemma":0.0001370274,"teacher_disagreement_score":0.079020984,"about_ca_system_score_codex":0.00030624683,"about_ca_system_score_gemma":0.00040881388,"threshold_uncertainty_score":0.9994954},"labels":[],"label_agreement":null},{"id":"W2962917044","doi":"10.4310/cntp.2009.v3.n2.a1","title":"Modular invariants and twisted equivariant K-theory","year":2009,"lang":"en","type":"article","venue":"Communications in Number Theory and Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; University of Alberta; Universität Hamburg; Cardiff University; Swansea University; Alexander von Humboldt-Stiftung","keywords":"Equivariant map; Conformal field theory; Mathematics; Pure mathematics; Modular invariance; Invariant (physics); Partition function (quantum field theory); Representation theory; Modular design; Conformal map; Algebra over a field; Physics; Mathematical physics; Geometry; Computer science; Quantum mechanics","score_opus":0.05073311893046169,"score_gpt":0.34422696820908166,"score_spread":0.29349384927862,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962917044","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89952946,0.0017786296,0.034349553,0.00094942225,0.00030008113,0.0008650761,0.000075529955,0.0002124309,0.061939843],"genre_scores_gemma":[0.9943225,0.00018602413,0.0049333917,0.00027445806,0.000049743107,0.000017401871,0.000018471224,0.000014478102,0.00018357276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879676,0.0005537977,0.00022900553,0.00017573408,0.00008401588,0.00016067384],"domain_scores_gemma":[0.99730635,0.0013744596,0.000088082365,0.0011353436,0.00003913744,0.00005660197],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006783624,0.00014633617,0.00021637206,0.000017802584,0.00020372792,0.000047428992,0.00041656877,0.000088747125,0.0000800356],"category_scores_gemma":[0.00025367775,0.00013775847,0.00003295933,0.00016350902,0.00020371257,0.00014532899,0.00025221758,0.00026176253,0.000004485767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004199526,0.00011417455,0.00006949166,0.0000114142995,0.000020035186,9.0604e-7,0.0014790257,0.0000016773508,0.00006571144,0.9848766,0.000060254126,0.013258739],"study_design_scores_gemma":[0.0004284875,0.00002076261,0.0011077296,0.00005933222,0.000029277528,0.000010097047,0.00021071901,0.00042183368,0.00004157562,0.99705577,0.00045239576,0.00016202232],"about_ca_topic_score_codex":0.0000048053494,"about_ca_topic_score_gemma":0.000002341883,"teacher_disagreement_score":0.09479302,"about_ca_system_score_codex":0.00001867487,"about_ca_system_score_gemma":0.00002173746,"threshold_uncertainty_score":0.56176275},"labels":[],"label_agreement":null},{"id":"W2962924936","doi":"10.70930/tac/2fklj28g","title":"Higher Dimensional Algebra VII: Groupoidification","year":2010,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Foundational Questions Institute; National Science Foundation","keywords":"Mathematics; Quiver; Pure mathematics; Hopf algebra; Feynman diagram; Algebra over a field; Hecke algebra; Creation and annihilation operators; Quantum; Mathematical physics; Quantum mechanics; Physics","score_opus":0.01227660662806765,"score_gpt":0.2643146654376218,"score_spread":0.2520380588095541,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962924936","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9867073,0.00016743313,0.008895053,0.00029253314,0.00026194722,0.0003377835,0.000008060055,0.00008399562,0.0032458573],"genre_scores_gemma":[0.9979847,0.0000070608025,0.0010515102,0.000042265867,0.00018334846,0.00011863093,0.000010043825,0.000012707774,0.00058972905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994041,0.00003406478,0.00019576853,0.00015542631,0.00011510557,0.000095542986],"domain_scores_gemma":[0.9990021,0.00040609093,0.00011292343,0.00034362008,0.00008891027,0.000046351153],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029403094,0.00009854768,0.0001395212,0.000036756282,0.00014597403,0.000016620808,0.00014546578,0.00008393704,0.00020961105],"category_scores_gemma":[0.000042461048,0.00008125486,0.000034022272,0.00010607999,0.0002545619,0.00007978908,0.00004606197,0.0001268047,0.000005154769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027607668,0.000040556362,0.000030900457,0.000021719,0.000014873949,4.222524e-8,0.00014028762,3.1129946e-7,0.0059116455,0.99114627,0.000113549846,0.0025522674],"study_design_scores_gemma":[0.00014583443,0.000014024291,0.00054850755,0.000002168053,0.000030385036,0.0000029922949,0.00007563168,0.0000030103324,0.009537748,0.98544025,0.0041095535,0.00008987767],"about_ca_topic_score_codex":0.0000052878486,"about_ca_topic_score_gemma":0.0000014628447,"teacher_disagreement_score":0.0112773655,"about_ca_system_score_codex":0.00000338099,"about_ca_system_score_gemma":0.00001931847,"threshold_uncertainty_score":0.3313477},"labels":[],"label_agreement":null},{"id":"W2962932512","doi":"10.70930/tac/jemgq3ky","title":"On the iteration of weak wreath products","year":2012,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Hungarian Scientific Research Fund","keywords":"Wreath product; Mathematics; Hopf algebra; Associative property; Combinatorics; Functor; Distributive property; Commutative property; K-theory (physics); Morphism; Pure mathematics; Product (mathematics); Discrete mathematics; Algebra over a field; Cohomology","score_opus":0.018492652559065213,"score_gpt":0.2686676565209157,"score_spread":0.25017500396185044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962932512","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98213124,0.00041762073,0.008717793,0.00025681165,0.00007381714,0.00045995574,0.000005994129,0.00002079359,0.007915945],"genre_scores_gemma":[0.9993582,0.000012372018,0.00015064976,0.00001557844,0.00010133734,0.000081320024,0.0000024172048,0.000005720882,0.0002724499],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996015,0.000054173433,0.00013532607,0.000061977335,0.00007909226,0.000067920315],"domain_scores_gemma":[0.9990119,0.0005366578,0.00010355501,0.0002654406,0.00006631683,0.000016130063],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004001791,0.000059990834,0.00009719628,0.000019442497,0.00008268389,0.00000629374,0.00008677864,0.000027411203,0.000027248865],"category_scores_gemma":[0.00013042316,0.000036368834,0.000017696098,0.000092256414,0.00013524115,0.000059176036,0.000021465614,0.000041806026,0.0000012334073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027698285,0.000045788845,0.000030936666,0.00003695241,0.000012644691,2.3469677e-9,0.0009733422,5.7149373e-7,0.0004955717,0.9973581,0.000110970715,0.0009074624],"study_design_scores_gemma":[0.000055106146,0.000021868784,0.00010518114,0.000005562176,0.000023322176,8.2267826e-7,0.00045221671,0.0000010949024,0.032922495,0.9657203,0.0006549213,0.000037114638],"about_ca_topic_score_codex":0.000001712291,"about_ca_topic_score_gemma":1.2041053e-7,"teacher_disagreement_score":0.032426924,"about_ca_system_score_codex":0.0000032159712,"about_ca_system_score_gemma":0.000010608288,"threshold_uncertainty_score":0.1483078},"labels":[],"label_agreement":null},{"id":"W2962967368","doi":"10.4171/jncg/110","title":"Equivariant Hopf Galois extensions and Hopf cyclic cohomology","year":2013,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Pure mathematics; Equivariant map; Galois cohomology; Equivariant cohomology; Hopf algebra; Algebra over a field; Galois group; Cohomology","score_opus":0.029720744913520388,"score_gpt":0.30971158628561074,"score_spread":0.27999084137209035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962967368","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99216264,0.00055100257,0.0035865477,0.00166716,0.0007485916,0.00018240105,0.0000040829514,0.000017564205,0.0010800213],"genre_scores_gemma":[0.991545,0.00012146361,0.007407616,0.00047639202,0.0002779018,0.0000061949895,8.596775e-7,0.000030328456,0.0001342174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99818754,0.00023901416,0.0006980978,0.00016434625,0.00037025893,0.0003407615],"domain_scores_gemma":[0.9965464,0.0016390707,0.0007284048,0.0002825983,0.00055666326,0.0002468779],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005749453,0.00022901998,0.0006705964,0.00035575085,0.00016577459,0.00007191373,0.00032110017,0.00016419563,0.0004816587],"category_scores_gemma":[0.001147532,0.00016829882,0.0001791485,0.0003404767,0.00019304306,0.0003217819,0.00021666974,0.0006117618,0.000020871263],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005991729,0.0010920737,0.011813201,0.00026804468,0.0021419101,0.0006621639,0.009626749,0.000065590284,0.005827697,0.89258105,0.048724156,0.026598182],"study_design_scores_gemma":[0.0012745311,0.00070312875,0.025202466,0.00007917077,0.00009974123,0.0008882632,0.0009542646,0.00007791375,0.0003532685,0.96973586,0.0004189216,0.00021246656],"about_ca_topic_score_codex":0.00005702685,"about_ca_topic_score_gemma":0.000002816958,"teacher_disagreement_score":0.07715481,"about_ca_system_score_codex":0.000063520194,"about_ca_system_score_gemma":0.00008422523,"threshold_uncertainty_score":0.68630266},"labels":[],"label_agreement":null},{"id":"W2962972040","doi":"10.1016/j.laa.2014.07.030","title":"Category <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"script\">O</mml:mi></mml:math> for the Schrödinger algebra","year":2014,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Vetenskapsrådet; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Quiver; Mathematics; Center (category theory); Algebra over a field; Symbolic computation; Pure mathematics; Mathematical analysis; Crystallography","score_opus":0.022135168225091987,"score_gpt":0.25802895607546683,"score_spread":0.23589378785037485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962972040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9686055,0.00078154897,0.025097763,0.0012177166,0.00075657555,0.00043654474,0.000074504365,0.00023855663,0.0027912504],"genre_scores_gemma":[0.99212337,0.00021518828,0.003351523,0.0010226873,0.0013728633,0.0012951029,0.000080398415,0.00014587727,0.0003929802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9978089,0.000050121722,0.00057024026,0.00059266953,0.0004317165,0.000546394],"domain_scores_gemma":[0.9974165,0.0008913259,0.00038195727,0.0009794378,0.00012141266,0.00020937115],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005374631,0.00034316618,0.00026360652,0.00007096678,0.0009841872,0.0002638821,0.0006143456,0.00041812522,0.00009820892],"category_scores_gemma":[0.0003356514,0.0003202366,0.00029783984,0.0002445015,0.00018536921,0.00025041949,0.0003063202,0.00039445295,0.0002970371],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005159924,0.000087229586,0.0000019048509,0.00018528364,0.00017722658,0.0000018292187,0.0005062593,0.000029670533,0.0005562749,0.994475,0.0024302509,0.0014974922],"study_design_scores_gemma":[0.0009214189,0.00020369173,0.000036236775,0.00007389473,0.0004395676,0.000064846376,0.00034334118,0.57805556,0.0044495016,0.36715955,0.047783725,0.0004686785],"about_ca_topic_score_codex":0.00006823395,"about_ca_topic_score_gemma":0.000021617872,"teacher_disagreement_score":0.6273154,"about_ca_system_score_codex":0.000012164717,"about_ca_system_score_gemma":0.00014744754,"threshold_uncertainty_score":0.99992496},"labels":[],"label_agreement":null},{"id":"W2962983448","doi":"10.1016/j.aim.2016.08.015","title":"The Capelli problem for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">|</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> and the spectrum of invariant differential operators","year":2016,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Scroll; Algorithm; Theology; Philosophy","score_opus":0.01353163502281164,"score_gpt":0.24155482159385408,"score_spread":0.22802318657104245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962983448","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96116173,0.004391473,0.0049452903,0.0013744993,0.004860781,0.00043592555,0.0009563677,0.00037772398,0.021496218],"genre_scores_gemma":[0.9807491,0.0053379545,0.007123635,0.00066691625,0.0024515751,0.0019754956,0.00032566508,0.001193772,0.00017589715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9851765,0.0008054815,0.0041443915,0.0026186511,0.0036689707,0.0035859975],"domain_scores_gemma":[0.9845616,0.006016945,0.0044521545,0.003380997,0.00040150541,0.001186764],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity"],"category_scores_codex":[0.003617682,0.0018497906,0.0011363688,0.0005888438,0.0024827118,0.0021931175,0.0041010557,0.0030581686,0.013337977],"category_scores_gemma":[0.0034525392,0.0023374907,0.0023700586,0.0013665541,0.0032851684,0.0019854081,0.00307829,0.0023855711,0.00063692837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0020810112,0.00069761946,0.000017152199,0.0034862773,0.0025639269,0.00038549543,0.0064635696,0.001274625,0.0010017804,0.9605081,0.017870435,0.0036499733],"study_design_scores_gemma":[0.006272401,0.0024593647,0.000019476563,0.0039146137,0.0030371991,0.0011256406,0.0070648747,0.053901155,0.4257878,0.49180686,0.0018087829,0.0028018106],"about_ca_topic_score_codex":0.00106451,"about_ca_topic_score_gemma":0.0016539426,"teacher_disagreement_score":0.46870124,"about_ca_system_score_codex":0.00006414293,"about_ca_system_score_gemma":0.0016408812,"threshold_uncertainty_score":0.99991596},"labels":[],"label_agreement":null},{"id":"W2962992702","doi":"10.1016/j.jalgebra.2016.12.027","title":"On a cluster category of type D infinity","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Université de Sherbrooke","keywords":"Quiver; Mathematics; Concrete category; Derived category; Cluster (spacecraft); Closed category; Bounded function; Pure mathematics; Type (biology); Orbit (dynamics); Enriched category; Infinity; 2-category; Mathematical analysis; Functor; Computer science","score_opus":0.047143242555408936,"score_gpt":0.3264333199951486,"score_spread":0.27929007743973966,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962992702","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99110454,0.00004222899,0.00013213627,0.00026713326,0.0014076696,0.000062154955,7.017546e-7,0.000004431522,0.0069789863],"genre_scores_gemma":[0.9988691,0.000014771478,0.0005087616,0.00009059488,0.0002867581,3.426714e-7,1.0450534e-7,0.000013667627,0.00021586478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990421,0.000040274346,0.00040878783,0.00006942157,0.00032330275,0.000116106436],"domain_scores_gemma":[0.9979874,0.00022696574,0.0010152475,0.0004331109,0.00026658946,0.000070678085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038471803,0.00010025015,0.00032469665,0.00006557102,0.00010428888,0.00004110627,0.00043612559,0.000089154855,0.00014236965],"category_scores_gemma":[0.0011846657,0.00007140868,0.00014063173,0.00003012012,0.00006546038,0.00014508938,0.000073201205,0.00025073614,0.0000066369944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027915798,0.00009549541,0.0013219194,0.00004260733,0.00012900581,0.000012871813,0.0003045083,0.0000067312017,0.000116386436,0.99090767,0.00614197,0.0006416905],"study_design_scores_gemma":[0.0007680205,0.0003924019,0.0071893865,0.00006755099,0.000054463762,0.000028257042,0.00002453246,0.000018530987,0.00093905744,0.9901478,0.00029500196,0.00007495923],"about_ca_topic_score_codex":0.000012706526,"about_ca_topic_score_gemma":0.0000020684913,"teacher_disagreement_score":0.007764577,"about_ca_system_score_codex":0.000026334288,"about_ca_system_score_gemma":0.00009143954,"threshold_uncertainty_score":0.29119614},"labels":[],"label_agreement":null},{"id":"W2963001907","doi":"10.1016/j.laa.2017.02.009","title":"Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials","year":2017,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Deutsches Elektronen-Synchrotron; Centre National de la Recherche Scientifique; Centre de Recherches Mathématiques","keywords":"Tridiagonal matrix; Orthogonal polynomials; Mathematics; Subalgebra; Classical orthogonal polynomials; Pure mathematics; Discrete orthogonal polynomials; Generalization; Algebra over a field; Order (exchange); Tridiagonal matrix algorithm; Realization (probability); Wilson polynomials; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.041053113886672835,"score_gpt":0.3173310027716227,"score_spread":0.27627788888494986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963001907","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98892504,0.0013194825,0.0018083898,0.003450466,0.0003497143,0.00095322024,0.000068566726,0.00014854327,0.00297658],"genre_scores_gemma":[0.99307364,0.00023267623,0.0026790763,0.00032127302,0.0009028189,0.0002375991,0.000019178124,0.00004859468,0.00248515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986153,0.000037138536,0.000354702,0.00046718356,0.00022003372,0.00030562087],"domain_scores_gemma":[0.99848646,0.00027765267,0.0002459051,0.00066039537,0.00011102591,0.0002185696],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001847142,0.00026173762,0.00034507815,0.00005770082,0.00096865575,0.00019496438,0.00032789313,0.00019337238,0.0002222378],"category_scores_gemma":[0.00016443366,0.00022515598,0.00007291938,0.00008532985,0.00018575382,0.00021508864,0.00023232601,0.0002213466,0.000029066301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001707846,0.000063495,0.00053382,0.000034948363,0.00006418965,0.0000012597864,0.000075022355,2.6558854e-7,0.0003711538,0.9938876,0.0011455655,0.0038055961],"study_design_scores_gemma":[0.0010488397,0.000046290254,0.0130074825,0.00002148009,0.00012030098,0.0000175459,0.000024690191,0.00014892234,0.000791487,0.94616497,0.03821443,0.00039359037],"about_ca_topic_score_codex":0.000019424784,"about_ca_topic_score_gemma":0.000011153731,"teacher_disagreement_score":0.047722667,"about_ca_system_score_codex":0.00001407312,"about_ca_system_score_gemma":0.00006242832,"threshold_uncertainty_score":0.9181594},"labels":[],"label_agreement":null},{"id":"W2963021417","doi":"10.1090/s0002-9947-2015-06438-1","title":"Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras","year":2015,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Algorithm; Annotation; Computer science; Type (biology); Artificial intelligence; Mathematics; Geology","score_opus":0.03156858978637751,"score_gpt":0.2907530939473161,"score_spread":0.2591845041609386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963021417","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9179534,0.00006806974,0.07988395,0.0008534282,0.0001245978,0.0003757259,0.000011180791,0.000091298236,0.00063838385],"genre_scores_gemma":[0.97894835,0.00002638567,0.020523835,0.00018193027,0.00005089485,0.000035053486,5.8639796e-7,0.00004282534,0.0001901637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998386,0.00008634301,0.00044169222,0.0002577779,0.00050561456,0.00032255202],"domain_scores_gemma":[0.99845153,0.00032019452,0.00027715412,0.0006456995,0.00010512007,0.00020030623],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038820552,0.0002514324,0.00061946886,0.000023671917,0.00018784008,0.000030847365,0.0004103656,0.00007489365,0.00006264363],"category_scores_gemma":[0.00011736632,0.00016272192,0.00044493773,0.000386628,0.0008644748,0.00011933214,0.000049518323,0.00031060015,0.0000099923445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011396805,0.0007552241,0.00016082557,0.00036848645,0.00081727083,0.0000014055502,0.007880837,0.00029174177,0.002427913,0.9811476,0.00076224614,0.005272502],"study_design_scores_gemma":[0.00082669413,0.00013323927,0.00015235356,0.00003919032,0.00024632775,0.00003856267,0.001600852,0.002656865,0.001282992,0.99274987,0.00006281065,0.00021023638],"about_ca_topic_score_codex":0.00007926703,"about_ca_topic_score_gemma":0.0000034128298,"teacher_disagreement_score":0.06099496,"about_ca_system_score_codex":0.000060791477,"about_ca_system_score_gemma":0.000071101225,"threshold_uncertainty_score":0.66356075},"labels":[],"label_agreement":null},{"id":"W2963091452","doi":"10.1017/is008007024jkt060","title":"Cyclic Cohomology of Corings","year":2008,"lang":"en","type":"article","venue":"Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Generalization; Hopf algebra; Cohomology; Pure mathematics; Commutative property; Algebra over a field; Cyclic homology; Mathematical analysis","score_opus":0.023839543143800258,"score_gpt":0.2987428073849804,"score_spread":0.2749032642411801,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963091452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9795931,0.0020420866,0.01672614,0.0003406175,0.0002538844,0.00029447803,0.000007893742,0.00001728118,0.0007245156],"genre_scores_gemma":[0.99711055,0.0005505186,0.0011168043,0.00034761848,0.0002946765,0.00002473006,0.0000010749737,0.000022089573,0.00053193147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981897,0.0003479913,0.0007630287,0.00025693874,0.0001698129,0.00027253703],"domain_scores_gemma":[0.99634963,0.002267423,0.0005898894,0.00027882136,0.00027566816,0.00023857703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014332259,0.00021525307,0.00065832835,0.00042814895,0.0002609584,0.000009934996,0.00030442304,0.00022622998,0.00028517452],"category_scores_gemma":[0.0009138801,0.00017749524,0.000115051866,0.00039523293,0.0004743747,0.00013477208,0.00013857734,0.0003243227,0.0000056583954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041371305,0.00012455194,0.00039343757,0.000060068807,0.00014327685,0.00001061863,0.00069851015,0.0000024981873,0.0012756055,0.9936156,0.00015082708,0.0031112805],"study_design_scores_gemma":[0.00069317414,0.00051538105,0.0011228042,0.000020973835,0.000118634554,0.0013431275,0.00038511242,0.00000170549,0.0039234725,0.9889005,0.0028016062,0.00017349621],"about_ca_topic_score_codex":0.000001770046,"about_ca_topic_score_gemma":4.709314e-7,"teacher_disagreement_score":0.017517453,"about_ca_system_score_codex":0.000020346786,"about_ca_system_score_gemma":0.00006638532,"threshold_uncertainty_score":0.7238046},"labels":[],"label_agreement":null},{"id":"W2963108124","doi":"10.1142/s0219887812500636","title":"RIEMANN SURFACES AND VERTEX OPERATOR ALGEBRAS","year":2012,"lang":"en","type":"article","venue":"International Journal of Geometric Methods in Modern Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Vertex operator algebra; Riemann surface; Operator algebra; Mathematics; Vertex (graph theory); Pure mathematics; Operator (biology); Commutative property; Algebra over a field; Mathematical physics; Combinatorics; Current algebra; Jordan algebra; Graph","score_opus":0.07062580125041175,"score_gpt":0.4187545391917721,"score_spread":0.34812873794136034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963108124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6449802,0.0014336522,0.35072666,0.000078752106,0.0024658586,0.00006494864,0.000002700314,0.0000076898295,0.00023957729],"genre_scores_gemma":[0.78866756,0.00014150658,0.2104376,0.00007710418,0.00061474583,0.0000019937572,5.839825e-7,0.00002078535,0.000038094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99806434,0.00024839595,0.0006218388,0.00013514824,0.0006803096,0.00024995947],"domain_scores_gemma":[0.997454,0.0014088853,0.0004451449,0.00015355818,0.00039980965,0.00013860759],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017592462,0.00017683589,0.00041218952,0.0004079631,0.000036296813,0.000072214105,0.00047218436,0.00009478527,0.00003724999],"category_scores_gemma":[0.0015489613,0.00014590968,0.00012255457,0.00047534372,0.000051703744,0.00055183016,0.00015771548,0.0003473635,0.0000014133057],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001699577,0.0006612185,0.023840927,0.000054159864,0.0006946806,0.000024242827,0.0035318334,0.000825238,0.0017253362,0.56505275,0.00050124293,0.4029184],"study_design_scores_gemma":[0.0008715929,0.000056035744,0.0031158652,0.00004629611,0.000042168715,0.000067701345,0.00014764698,0.0019273078,0.0030318166,0.990235,0.0002901788,0.00016841001],"about_ca_topic_score_codex":0.000010260965,"about_ca_topic_score_gemma":4.1843478e-7,"teacher_disagreement_score":0.42518222,"about_ca_system_score_codex":0.000115479976,"about_ca_system_score_gemma":0.00005796475,"threshold_uncertainty_score":0.5950024},"labels":[],"label_agreement":null},{"id":"W2963127469","doi":"10.1016/j.jalgebra.2012.06.020","title":"Universal central extensions of direct limits of Lie superalgebras","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Extension (predicate logic); Pure mathematics; Rank (graph theory); Limit (mathematics); Simple Lie group; Lie superalgebra; Algebra over a field; Fundamental representation; Lie group; Lie algebra; Affine Lie algebra; Combinatorics; Mathematical analysis; Current algebra; Computer science; Weight","score_opus":0.0379949859971827,"score_gpt":0.28730293369155496,"score_spread":0.24930794769437226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963127469","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9962068,0.000788949,0.00019053587,0.0001280978,0.001453917,0.00008733883,0.000006640314,0.000010627715,0.0011270744],"genre_scores_gemma":[0.99711454,0.00010258671,0.0021458815,0.000030979063,0.00049262587,3.328078e-7,6.492176e-7,0.000026023099,0.00008639124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981939,0.00009743587,0.00076462637,0.00008772826,0.0004985231,0.00035775072],"domain_scores_gemma":[0.9979956,0.0004073779,0.0007462904,0.00025698054,0.00035471414,0.00023904679],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035882278,0.00017128725,0.0006191523,0.00016055096,0.000045688415,0.00000854003,0.00030055063,0.00012858119,0.00023556226],"category_scores_gemma":[0.00044531238,0.00013248902,0.00035146886,0.00020595109,0.0000957151,0.00033932232,0.000059841517,0.00025298732,0.0000017304724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018474532,0.0004622118,0.00640301,0.00009320298,0.0003268219,0.00001250691,0.002220019,0.0000070473793,0.006898855,0.97898984,0.0037626487,0.00063911185],"study_design_scores_gemma":[0.0022349039,0.000789249,0.026967797,0.0003613,0.00057307055,0.00020947207,0.0010500303,0.000018647093,0.06445067,0.9018963,0.0010861983,0.0003623803],"about_ca_topic_score_codex":0.000012416528,"about_ca_topic_score_gemma":0.0000014458138,"teacher_disagreement_score":0.077093534,"about_ca_system_score_codex":0.000054716606,"about_ca_system_score_gemma":0.00014026338,"threshold_uncertainty_score":0.54027456},"labels":[],"label_agreement":null},{"id":"W2963137553","doi":"10.1142/s1005386714000078","title":"Lie Invariants in Two and Three Variables","year":2014,"lang":"en","type":"article","venue":"Algebra Colloquium","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Adjoint representation; Adjoint representation of a Lie algebra; Graded Lie algebra; Fundamental representation; Lie conformal algebra; Lie algebra; Simple Lie group; Representation of a Lie group; Affine Lie algebra; Algebra over a field; Pure mathematics; Representation theory; Universal enveloping algebra; Weight; Current algebra","score_opus":0.020998034699874085,"score_gpt":0.28254216350356604,"score_spread":0.26154412880369193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963137553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98790914,0.00009569035,0.0025556698,0.0002711913,0.00063663913,0.00030121685,0.00000213818,0.00008102179,0.008147306],"genre_scores_gemma":[0.9964573,0.000010671388,0.0027284524,0.00028177677,0.00024495053,0.000032773405,0.0000017652943,0.000034643133,0.00020766398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986631,0.00008335095,0.00032561072,0.00034360032,0.0002313129,0.00035297492],"domain_scores_gemma":[0.9988534,0.0004897967,0.00010000102,0.0004043155,0.00004338089,0.000109101835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004624293,0.00021020566,0.00035876132,0.0000961802,0.000096159434,0.000076712764,0.00024319006,0.00010377572,0.0001084898],"category_scores_gemma":[0.0004157985,0.00018961122,0.000043949087,0.00023920804,0.00006665474,0.00014748813,0.00017906148,0.00018139304,0.000016576201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018123752,0.000039556602,0.003522688,0.0000296945,0.000020733345,0.000004118985,0.00014565703,0.0000029451248,0.00010525153,0.99466586,0.0007620912,0.0006832856],"study_design_scores_gemma":[0.001557978,0.00006135624,0.0044108136,0.000042779277,0.000025722667,0.000010251145,0.000026578384,0.00092123414,0.00018785469,0.99169207,0.00083294814,0.0002304299],"about_ca_topic_score_codex":0.00017253576,"about_ca_topic_score_gemma":0.00036707436,"teacher_disagreement_score":0.008548176,"about_ca_system_score_codex":0.000036198828,"about_ca_system_score_gemma":0.000052984364,"threshold_uncertainty_score":0.77321213},"labels":[],"label_agreement":null},{"id":"W2963141430","doi":"10.4153/cmb-2002-056-6","title":"Postcards from the Edge, or Snapshots of the Theory of Generalised Moonshine","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Context (archaeology); Quadratic equation; Gauss; Algebra over a field; Pure mathematics; Geometry; History; Physics","score_opus":0.04972121514036682,"score_gpt":0.24244400001741842,"score_spread":0.1927227848770516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963141430","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9649528,0.00043793104,0.0004229071,0.011205224,0.0005396512,0.0008229776,0.00021347385,0.00003071786,0.021374311],"genre_scores_gemma":[0.9956395,0.000008015951,0.0008107289,0.0008114847,0.00016258573,0.000019199526,0.0000025047054,0.000035866247,0.0025101348],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983367,0.00023350652,0.0005324737,0.00019661932,0.00037602716,0.00032471886],"domain_scores_gemma":[0.99668205,0.0018487246,0.00020381813,0.0009470902,0.00011042057,0.00020788971],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00040724687,0.00020804463,0.00043179744,0.0000368301,0.00013634615,0.000023729996,0.0008327145,0.00015290646,0.038827896],"category_scores_gemma":[0.0021871906,0.000102151396,0.0002206538,0.00020122966,0.00031601172,0.000015394968,0.00009570697,0.00022921257,0.00012765887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019803907,0.000049690025,0.00005053883,0.00006270061,0.000085781285,0.00000419296,0.0011389455,0.0000026137172,0.000059557147,0.939863,0.058281597,0.00038154883],"study_design_scores_gemma":[0.0003867237,0.000032917098,0.00028131797,0.00012439907,0.000106103056,0.000008838415,0.0002536022,0.000118619304,0.00092141156,0.99250525,0.0051157605,0.00014503101],"about_ca_topic_score_codex":0.0010921976,"about_ca_topic_score_gemma":0.00083691307,"teacher_disagreement_score":0.053165838,"about_ca_system_score_codex":0.000060298065,"about_ca_system_score_gemma":0.00011626589,"threshold_uncertainty_score":0.96205074},"labels":[],"label_agreement":null},{"id":"W2963144637","doi":"10.1016/j.laa.2015.10.021","title":"Simple graded division algebras over the field of real numbers","year":2015,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Foundation for Basic Research","keywords":"Mathematics; Abelian group; Division (mathematics); Equivalence (formal languages); Division algebra; Division ring; Simple (philosophy); Pure mathematics; Algebra over a field; Grading (engineering); Discrete mathematics; Arithmetic; Algebra representation","score_opus":0.03240718467140549,"score_gpt":0.33243867779459096,"score_spread":0.30003149312318544,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963144637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9938055,0.00019440372,0.0026324757,0.00055593986,0.000103920385,0.000528994,0.000010404682,0.000060284983,0.0021080784],"genre_scores_gemma":[0.9988601,0.00005803243,0.00041038095,0.00021829366,0.00018256053,0.00007166169,0.000010086705,0.00001816636,0.00017069727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991209,0.00003381369,0.00027010898,0.00019243632,0.00023021286,0.00015255949],"domain_scores_gemma":[0.9987923,0.0004914173,0.00012925096,0.00037771126,0.00010127078,0.00010805914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015390322,0.00012493695,0.00018445695,0.000028984285,0.00013123447,0.000020838339,0.00022521085,0.00009721107,0.000053403008],"category_scores_gemma":[0.00017149445,0.00008505551,0.000061020404,0.00019796866,0.000049084905,0.00007094163,0.00011445495,0.00013010358,0.000008648632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008961078,0.000041158088,0.0004041501,0.000018891878,0.000023715003,1.4435871e-7,0.00041027914,0.00000250968,0.00009614545,0.994248,0.0037788167,0.00096726324],"study_design_scores_gemma":[0.00040190434,0.00006463177,0.0009959555,0.000007329417,0.000042792024,0.0000017333541,0.0001800303,0.0005652802,0.0015745029,0.98775035,0.008298782,0.00011670963],"about_ca_topic_score_codex":0.00009987342,"about_ca_topic_score_gemma":0.000013605351,"teacher_disagreement_score":0.006497617,"about_ca_system_score_codex":0.000011066404,"about_ca_system_score_gemma":0.00003855101,"threshold_uncertainty_score":0.3468463},"labels":[],"label_agreement":null},{"id":"W2963169151","doi":"10.1016/j.laa.2014.09.001","title":"Quasi-Whittaker modules for the Schrödinger algebra","year":2014,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; China Scholarship Council; National Natural Science Foundation of China; Wilfrid Laurier University","keywords":"Mathematics; Subalgebra; Algebra over a field; Simple module; Simple (philosophy); Pure mathematics; Class (philosophy)","score_opus":0.03050877687606604,"score_gpt":0.29485877083753853,"score_spread":0.2643499939614725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963169151","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23143141,0.0019319417,0.7539001,0.006143129,0.0005795045,0.0034648918,0.00005271793,0.00038403468,0.0021122247],"genre_scores_gemma":[0.9907387,0.00008418488,0.005793183,0.00045928886,0.0010319281,0.00093755004,0.000012606068,0.000048626654,0.00089394813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989481,0.000028779936,0.00027738287,0.00032158307,0.00016734518,0.000256786],"domain_scores_gemma":[0.9981871,0.0009883727,0.00011438643,0.0004848624,0.00012975375,0.00009549718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002576691,0.0001880926,0.0002187589,0.00003693503,0.0005233995,0.00006948098,0.00029106817,0.00011699785,0.000051846895],"category_scores_gemma":[0.00021630118,0.00012729745,0.000101257916,0.00014868005,0.00006781583,0.000081712664,0.00007670848,0.00014302375,0.00002626828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007478661,0.000056864814,0.000012377752,0.000038362043,0.00003906844,2.279358e-8,0.00012837486,0.0000044127214,0.000099463614,0.99071515,0.0013193572,0.0075790994],"study_design_scores_gemma":[0.00039014354,0.000062727544,0.00010693947,0.000009486722,0.00008834723,0.0000033629344,0.000066196146,0.013987425,0.0006097828,0.8782523,0.106244035,0.00017923619],"about_ca_topic_score_codex":0.000005238921,"about_ca_topic_score_gemma":0.0000044194917,"teacher_disagreement_score":0.75930727,"about_ca_system_score_codex":0.000010681371,"about_ca_system_score_gemma":0.000018232728,"threshold_uncertainty_score":0.51910394},"labels":[],"label_agreement":null},{"id":"W2963193933","doi":"10.1016/j.jalgebra.2014.04.029","title":"Irreducible Virasoro modules from irreducible Weyl modules","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":89,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Wilfrid Laurier University","keywords":"Virasoro algebra; Verma module; Mathematics; Differential operator; Pure mathematics; Polynomial; Class (philosophy); Irreducible element; Algebra over a field; Block (permutation group theory); Weyl algebra; Operator (biology); Combinatorics; Algebra representation; Computer science; Cellular algebra; Lie algebra; Weight; Mathematical analysis; Fundamental representation","score_opus":0.025376751879822523,"score_gpt":0.27541876495998413,"score_spread":0.2500420130801616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963193933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9863206,0.0006409752,0.007390241,0.00060038763,0.0029368806,0.00011596456,0.00000794374,0.000052508014,0.0019344956],"genre_scores_gemma":[0.97999555,0.00006820657,0.017193424,0.00016569775,0.0022212325,0.0000034260638,0.0000027032754,0.00006325963,0.00028649342],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974876,0.00014996956,0.0009254599,0.0003158638,0.0007245888,0.0003965098],"domain_scores_gemma":[0.99741834,0.0005549241,0.0008208833,0.0006575804,0.00028554167,0.0002627048],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006380887,0.0003205007,0.0007352049,0.0001931308,0.00014595318,0.00014219448,0.0007023757,0.00020636606,0.0004316557],"category_scores_gemma":[0.0006842737,0.00025358106,0.00037495347,0.00019961668,0.000086859065,0.0004274662,0.00011946629,0.00047057605,0.000035556826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017149962,0.00030930658,0.00041408156,0.000057630605,0.00039685567,0.000019506262,0.00093554985,0.00021353153,0.003922939,0.95741993,0.023237213,0.01290198],"study_design_scores_gemma":[0.0011475297,0.00026129262,0.0014607534,0.00013139586,0.00013987494,0.000057610403,0.00019118324,0.0005564821,0.007608304,0.98400384,0.004151463,0.00029025448],"about_ca_topic_score_codex":0.000058270805,"about_ca_topic_score_gemma":0.000006526494,"teacher_disagreement_score":0.026583951,"about_ca_system_score_codex":0.00008376944,"about_ca_system_score_gemma":0.0000830181,"threshold_uncertainty_score":0.99999166},"labels":[],"label_agreement":null},{"id":"W2963197838","doi":"10.1090/s1088-4165-2013-00438-7","title":"Rank 2 affine MV polytopes","year":2013,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.021604578586080322,"score_gpt":0.2906388722457248,"score_spread":0.2690342936596445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963197838","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9663169,0.00026060484,0.018927706,0.004070631,0.000645256,0.0018894111,0.000024084322,0.00012477189,0.007740682],"genre_scores_gemma":[0.9857281,0.000097165284,0.007863558,0.00062438025,0.00033882837,0.00009058958,0.0000031757527,0.00008647835,0.0051677623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959201,0.0008072513,0.0011596418,0.0005172816,0.00102385,0.0005718445],"domain_scores_gemma":[0.9934237,0.002991309,0.0015335645,0.0015595019,0.00029735276,0.00019459607],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000845404,0.00047301548,0.001160957,0.000037199894,0.0003239762,0.0001291981,0.0011186008,0.00016257502,0.0037741833],"category_scores_gemma":[0.001356782,0.00031335058,0.0013950662,0.0007969051,0.002005633,0.00023028662,0.0005818597,0.00046020895,0.00023074792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007116149,0.00038606895,0.00026066805,0.00040731294,0.00068088766,3.9792934e-7,0.005845622,0.000037998914,0.0023469042,0.97627336,0.0069245296,0.006765063],"study_design_scores_gemma":[0.00066382793,0.000118745076,0.001785352,0.00017001638,0.00036840505,0.000010982363,0.008356558,0.0018007753,0.0043972847,0.98192656,0.00006104412,0.00034042576],"about_ca_topic_score_codex":0.0001945446,"about_ca_topic_score_gemma":6.637474e-7,"teacher_disagreement_score":0.01941121,"about_ca_system_score_codex":0.00011097441,"about_ca_system_score_gemma":0.00009966424,"threshold_uncertainty_score":0.9999319},"labels":[],"label_agreement":null},{"id":"W2963257942","doi":"10.1007/s00229-006-0053-3","title":"Descent constructions for central extensions of infinite dimensional Lie algebras","year":2006,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Descent (aeronautics); Pure mathematics; Automorphism; Lie algebra; Affine transformation; Affine Lie algebra; Non-associative algebra; Simple (philosophy); Number theory; Algebra over a field; Generalized Kac–Moody algebra; Lie conformal algebra; Current algebra","score_opus":0.04258647088169321,"score_gpt":0.2735952150188169,"score_spread":0.2310087441371237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963257942","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9575933,0.00020294428,0.03359327,0.00055702345,0.0021873894,0.0014711814,0.000104196166,0.00022420865,0.0040664505],"genre_scores_gemma":[0.9288423,0.0000028761626,0.069740705,0.0000701206,0.00024173941,0.00008702774,0.000020195703,0.000053342246,0.00094166584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793917,0.00004076985,0.0008114764,0.0003196128,0.0003978918,0.00049106026],"domain_scores_gemma":[0.99829376,0.0004890793,0.00031921078,0.0005522471,0.00022800238,0.000117675336],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018780668,0.0002842047,0.000545655,0.000121741024,0.00021204966,0.000039698785,0.0002516679,0.00014255507,0.0002753683],"category_scores_gemma":[0.0003379027,0.00024265985,0.00030012074,0.00016982963,0.00020108302,0.00010505899,0.000108081695,0.0001378684,0.000010483904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030033287,0.00027362056,0.000080664104,0.00022956113,0.000059532143,0.000002201861,0.00016201714,0.000011967781,0.0010110995,0.9836441,0.014348851,0.00014634269],"study_design_scores_gemma":[0.0008466626,0.00007489211,0.00059055304,0.00012890148,0.00016700575,0.00003722756,0.000105801315,0.00087104394,0.0026890617,0.99274045,0.001494265,0.00025412248],"about_ca_topic_score_codex":0.00003188975,"about_ca_topic_score_gemma":0.00001035962,"teacher_disagreement_score":0.036147438,"about_ca_system_score_codex":0.000054581782,"about_ca_system_score_gemma":0.00008060886,"threshold_uncertainty_score":0.9895382},"labels":[],"label_agreement":null},{"id":"W2963278126","doi":"10.1016/j.aim.2018.03.034","title":"Categorified skew Howe duality and comparison of knot homologies","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Fundação para a Ciência e a Tecnologia; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Categorification; Knot (papermaking); Functor; Pure mathematics; Tensor product; Diagrammatic reasoning; Knot invariant; Homology (biology); Hochschild homology; Algebra over a field; Khovanov homology; Isomorphism (crystallography); Knot theory; Computer science","score_opus":0.05479620229126788,"score_gpt":0.3887868145863494,"score_spread":0.33399061229508153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963278126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9820891,0.0018397567,0.008784625,0.000052059837,0.00050177606,0.0002835552,0.0000050815697,0.00006634989,0.006377705],"genre_scores_gemma":[0.9586373,0.00015710903,0.0410073,0.000010092952,0.00007046917,0.000012196918,8.4812535e-7,0.000016698214,0.00008797985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876225,0.00004595317,0.00055880914,0.00019737991,0.00022251108,0.00021312587],"domain_scores_gemma":[0.9985019,0.00067703234,0.00031194914,0.00037947315,0.000092643546,0.000036984096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002920971,0.0001694688,0.0005264086,0.00006240035,0.00005961016,0.000015779175,0.00022314374,0.00010365696,0.00003790349],"category_scores_gemma":[0.000563693,0.00013788855,0.000052228963,0.0001650536,0.0003557308,0.0001555374,0.00012229288,0.00013173628,0.0000030971898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001501948,0.0001506096,0.0012965983,0.00044185956,0.000016837865,9.845537e-7,0.0044775675,0.0000037435352,0.000052677646,0.9897497,0.000060964052,0.0037334126],"study_design_scores_gemma":[0.00033955983,0.00012038899,0.0003149467,0.0000835871,0.000025902558,0.000004361487,0.0012647095,0.00046029326,0.0028770533,0.99403155,0.00032676922,0.00015084998],"about_ca_topic_score_codex":0.000009354357,"about_ca_topic_score_gemma":0.0000386941,"teacher_disagreement_score":0.032222677,"about_ca_system_score_codex":0.000022829785,"about_ca_system_score_gemma":0.000020576186,"threshold_uncertainty_score":0.5622932},"labels":[],"label_agreement":null},{"id":"W2963292689","doi":"10.1016/j.jalgebra.2017.05.022","title":"Classification of category <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"script\">J</mml:mi></mml:math> modules for divergence zero vector fields on a torus","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Indecomposable module; Zero (linguistics); Divergence (linguistics); Commutative property; Pure mathematics; Algebra over a field","score_opus":0.03483225271721776,"score_gpt":0.2737724885635999,"score_spread":0.23894023584638216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963292689","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9917697,0.00016211497,0.0037511722,0.00044114224,0.0027028495,0.000089077264,0.000029123485,0.000029146571,0.0010256883],"genre_scores_gemma":[0.99617183,0.00013230115,0.0025523584,0.00016230547,0.00076698675,0.000038719107,0.000007419709,0.00007081996,0.00009722802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976931,0.000054800406,0.00083732005,0.00030871603,0.0007185968,0.00038745804],"domain_scores_gemma":[0.99654496,0.00039969146,0.0017865854,0.0008775965,0.00021317425,0.0001779857],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00062124996,0.00026894637,0.0003551744,0.000100883815,0.0004889758,0.00021552244,0.0008695781,0.00043392976,0.0000759907],"category_scores_gemma":[0.0009683007,0.0002679802,0.00051935494,0.00007467938,0.0001621379,0.0004730312,0.00020788694,0.000431631,0.000035510726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048777694,0.00015600065,0.00001932641,0.00023198873,0.000277823,0.000039372364,0.00071566756,0.00006781944,0.0019738958,0.9919031,0.003286332,0.0008408661],"study_design_scores_gemma":[0.0026481417,0.0021851943,0.0025578556,0.00073909614,0.0006885505,0.00025753182,0.00058286474,0.22397345,0.027935265,0.73640543,0.0013742889,0.0006523205],"about_ca_topic_score_codex":0.00009531682,"about_ca_topic_score_gemma":0.000022238972,"teacher_disagreement_score":0.2554977,"about_ca_system_score_codex":0.000030714207,"about_ca_system_score_gemma":0.00025128442,"threshold_uncertainty_score":0.99997723},"labels":[],"label_agreement":null},{"id":"W2963342658","doi":"10.1016/j.jalgebra.2017.04.006","title":"The bounded derived categories of an algebra with radical squared zero","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bounded function; Indecomposable module; Zero (linguistics); Derived category; Quiver; Pure mathematics; Biproduct; Finitely-generated abelian group; Discrete mathematics; Abelian category; Algebra over a field; Abelian group; Mathematical analysis","score_opus":0.024649617698409277,"score_gpt":0.2938108457317881,"score_spread":0.26916122803337883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963342658","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99584466,0.0002552555,0.0016322734,0.00082978973,0.00085308985,0.00015309725,0.0000018109064,0.000015076248,0.00041491963],"genre_scores_gemma":[0.9960139,0.00004540784,0.0034061854,0.000040191087,0.0003811659,0.000002988677,5.8088966e-7,0.00003679106,0.00007278884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997977,0.000114506576,0.0007131633,0.00015364452,0.0007341834,0.0003074617],"domain_scores_gemma":[0.9964791,0.00037140248,0.0016622692,0.00086208404,0.0004275891,0.00019757103],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000640729,0.00022429954,0.00054723327,0.000060038947,0.0007706152,0.00033404023,0.0011708796,0.00013456742,0.000038703405],"category_scores_gemma":[0.0006571306,0.00012367894,0.00019456193,0.00006337558,0.0006267307,0.00050878385,0.00010341274,0.00038988583,0.0000012716736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009142526,0.00015637749,0.00048747324,0.000046699024,0.0004101607,0.00007510993,0.0014254036,0.0000043151103,0.0008672285,0.99160993,0.00087383017,0.003129192],"study_design_scores_gemma":[0.0017989449,0.0008387379,0.0032196662,0.000071572,0.00014672565,0.00023617069,0.00038317972,0.000035020985,0.007980713,0.9845184,0.0006012016,0.00016964383],"about_ca_topic_score_codex":0.000027707989,"about_ca_topic_score_gemma":0.000037278067,"teacher_disagreement_score":0.007113484,"about_ca_system_score_codex":0.000048353697,"about_ca_system_score_gemma":0.00030699745,"threshold_uncertainty_score":0.5927027},"labels":[],"label_agreement":null},{"id":"W2963368527","doi":"10.1016/j.jalgebra.2010.07.035","title":"Cluster-tilted algebras without clusters","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University; Université de Sherbrooke","funders":"","keywords":"Quiver; Mathematics; Cluster algebra; Surjective function; Cluster (spacecraft); Quadratic algebra; Pure mathematics; Class (philosophy); Construct (python library); Algebra over a field; Type (biology); Tree (set theory); Extension (predicate logic); Jordan algebra; Combinatorics; Algebra representation; Quantum; Physics; Computer science; Quantum mechanics","score_opus":0.01793309191243989,"score_gpt":0.2904967683340665,"score_spread":0.2725636764216266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963368527","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9901769,0.000055389646,0.0024425269,0.0008712541,0.0046284124,0.00017140928,0.0000013823777,0.000046292094,0.0016064385],"genre_scores_gemma":[0.984075,0.000009466489,0.013758172,0.0004206835,0.0014002464,0.0000024037681,6.4459243e-7,0.000055770943,0.00027762158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978377,0.000083742365,0.00086888555,0.0001916685,0.00066014973,0.0003578059],"domain_scores_gemma":[0.9977076,0.00036359605,0.0008361227,0.0004556083,0.00035785238,0.0002792111],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006988709,0.00026761155,0.0005617847,0.00020156897,0.00012031644,0.000100728685,0.00062242243,0.0002420681,0.00045965382],"category_scores_gemma":[0.00073579705,0.0002025534,0.0003272051,0.00020258456,0.00010893001,0.0003402736,0.00011359458,0.0009995784,0.000018576953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005153237,0.00032760442,0.0028861198,0.00010546892,0.000493645,0.00006453162,0.0017465814,0.000016840984,0.0079321675,0.9600735,0.020718498,0.0051197177],"study_design_scores_gemma":[0.0020101152,0.0002578977,0.0008032105,0.000057806203,0.00014157928,0.0005840098,0.00015263828,0.00014581603,0.0021494022,0.98919016,0.004225124,0.0002822509],"about_ca_topic_score_codex":0.0000067898145,"about_ca_topic_score_gemma":0.000016343534,"teacher_disagreement_score":0.02911665,"about_ca_system_score_codex":0.00004300709,"about_ca_system_score_gemma":0.000158674,"threshold_uncertainty_score":0.82598877},"labels":[],"label_agreement":null},{"id":"W2963369877","doi":"10.1080/00927870902855556","title":"Cyclotomic Temperley–Lieb Algebra of Type<i>D</i>and Its Representation Theory","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Type (biology); Generalization; Pure mathematics; Algebra over a field; Basis (linear algebra); Class (philosophy); Computer science; Mathematical analysis","score_opus":0.06075122470984847,"score_gpt":0.35544593923604184,"score_spread":0.2946947145261934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963369877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910471,0.002309524,0.00014433234,0.00078742206,0.00014798218,0.000424753,0.0000033224183,0.00007541073,0.0050601778],"genre_scores_gemma":[0.9956988,0.00078988686,0.0031266306,0.00013556113,0.00003096431,0.000022065526,0.000012928779,0.00002007651,0.00016305427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986106,0.00029195266,0.0005138083,0.00022230511,0.0001771508,0.00018418401],"domain_scores_gemma":[0.99721575,0.0007905387,0.00020798367,0.0015720631,0.00015886988,0.000054783017],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044956873,0.00015963752,0.00030716765,0.00015430432,0.00012522521,0.000025611325,0.00081774755,0.00012867172,0.000049853497],"category_scores_gemma":[0.00080011605,0.00015552477,0.00005415486,0.00052889076,0.00012268127,0.00016782116,0.00024771565,0.00026565112,0.000008312182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003223385,0.00011786777,0.00045276902,0.000016460168,0.000019179271,5.1906596e-7,0.0010401829,0.00000381902,0.0012405798,0.9938839,0.00014095994,0.0030515087],"study_design_scores_gemma":[0.0005042366,0.00006314669,0.004707404,0.0000659249,0.000031195494,0.0000071990025,0.0002080104,0.0005042953,0.001997229,0.99158365,0.00017376135,0.00015397891],"about_ca_topic_score_codex":0.000013274629,"about_ca_topic_score_gemma":0.000010160471,"teacher_disagreement_score":0.0048971237,"about_ca_system_score_codex":0.00004740742,"about_ca_system_score_gemma":0.00006210199,"threshold_uncertainty_score":0.6342116},"labels":[],"label_agreement":null},{"id":"W2963399539","doi":"10.1016/j.jalgebra.2014.08.054","title":"A class of simple weight Virasoro modules","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Henan University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Virasoro algebra; Mathematics; Simple (philosophy); Pure mathematics; Class (philosophy); Simple module; Polynomial; Verma module; Algebra over a field; Lie algebra; Algebra representation; Cellular algebra; Mathematical analysis; Computer science","score_opus":0.016428086470171962,"score_gpt":0.2668247919981501,"score_spread":0.25039670552797816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963399539","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9907314,0.00013959769,0.006601411,0.00023213749,0.0007002559,0.00006046255,0.0000015963104,0.000011974526,0.0015211737],"genre_scores_gemma":[0.99539065,0.000021618956,0.0037958568,0.000083982544,0.0006216001,7.613085e-7,3.3679598e-7,0.000023181918,0.00006200306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985257,0.00008533089,0.0006716904,0.00009614616,0.00044129466,0.00017983849],"domain_scores_gemma":[0.99826175,0.0003709035,0.0007532937,0.00026751275,0.00024238467,0.000104133855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044791892,0.00013968944,0.00047672694,0.000104784864,0.000043082582,0.000019713172,0.0003377009,0.00010426053,0.00015847202],"category_scores_gemma":[0.00044552895,0.00010203479,0.00024214099,0.00011285653,0.000053437474,0.00014190194,0.00005502103,0.00021830249,0.000003390561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006528396,0.00008405262,0.0003604639,0.00005595085,0.00010916378,0.0000040463915,0.0002387457,0.000017768127,0.001142447,0.9897711,0.0053269146,0.0028240501],"study_design_scores_gemma":[0.00082525145,0.00030320714,0.0006936492,0.000050556602,0.00007247675,0.00004523352,0.00004908508,0.00025242355,0.006339252,0.9868085,0.004451691,0.00010871489],"about_ca_topic_score_codex":0.000004849862,"about_ca_topic_score_gemma":0.0000020546156,"teacher_disagreement_score":0.005196805,"about_ca_system_score_codex":0.000030283896,"about_ca_system_score_gemma":0.000045339137,"threshold_uncertainty_score":0.4160858},"labels":[],"label_agreement":null},{"id":"W2963432530","doi":"10.4153/cjm-2000-023-2","title":"The Level 2 and 3 Modular Invariants for the Orthogonal Algebras","year":2000,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine transformation; Pure mathematics; Uniqueness; Invariant (physics); Conformal map; Combinatorics; Algebra over a field; Mathematical analysis","score_opus":0.05569797155615379,"score_gpt":0.2682086766433426,"score_spread":0.21251070508718878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963432530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98336154,0.0019245821,0.009315949,0.003274401,0.00085518224,0.0005249521,0.00003527038,0.000007883894,0.00070023735],"genre_scores_gemma":[0.9908587,0.00012127484,0.0074826973,0.00020859668,0.0003983808,0.0000096933645,4.2532616e-7,0.00003645353,0.0008838237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889356,0.00003432514,0.0004708744,0.00008213275,0.00022125972,0.00029786414],"domain_scores_gemma":[0.99767274,0.001370292,0.00023717295,0.00028033773,0.0001689046,0.00027053469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008429908,0.00014289659,0.00023809198,0.000042451386,0.0006122941,0.00016531459,0.0004549788,0.000078210054,0.00014688235],"category_scores_gemma":[0.000699307,0.000074918935,0.00012397648,0.00008169101,0.00015879965,0.00008098231,0.000011853987,0.00020462462,0.0000028137308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011904568,0.00001188484,0.000044843822,0.00004028227,0.00015345935,0.000010399838,0.0013957573,0.00003221985,0.000004585156,0.98412037,0.0053474726,0.0088268295],"study_design_scores_gemma":[0.00041517007,0.00005837284,0.0003018719,0.000051965977,0.000105313244,0.00025973382,0.00056648307,0.0011985807,0.00002534679,0.9846242,0.012291345,0.00010163315],"about_ca_topic_score_codex":0.00010655821,"about_ca_topic_score_gemma":0.0024869568,"teacher_disagreement_score":0.008725196,"about_ca_system_score_codex":0.00004378086,"about_ca_system_score_gemma":0.0004784177,"threshold_uncertainty_score":0.47093332},"labels":[],"label_agreement":null},{"id":"W2963459968","doi":"10.37236/5282","title":"Cluster Algebras of Type D: Pseudotriangulations Approach","year":2015,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Agence Nationale de la Recherche; York University; Ministerio de Ciencia e Innovación; Government of Canada","keywords":"Cluster algebra; Cluster (spacecraft); Interpretation (philosophy); Type (biology); Computation; Combinatorics; Mathematics; Graph; Computer science; Physics; Algorithm; Statistical physics","score_opus":0.045851378480070974,"score_gpt":0.29726250972672813,"score_spread":0.25141113124665715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963459968","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96919125,0.002544727,0.022976767,0.00050654024,0.0017370408,0.00026639306,6.6607777e-7,0.000021767353,0.0027548557],"genre_scores_gemma":[0.99912876,0.000057499612,0.00023659809,0.00003535031,0.00022323556,0.0000016076933,6.762975e-7,0.000027697368,0.00028858072],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980802,0.00019381392,0.0006212037,0.00009428642,0.0006443116,0.00036618076],"domain_scores_gemma":[0.99772435,0.0003399557,0.00069174176,0.00037116208,0.0007652187,0.0001075706],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015013091,0.00015835653,0.00040359015,0.00010480554,0.00007049511,0.00002169417,0.0006088309,0.000106090716,0.000010930568],"category_scores_gemma":[0.0005386901,0.0001012528,0.00016138403,0.0005163356,0.00007382222,0.0001277218,0.00007532888,0.0005506974,0.000002161768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012118765,0.0001370236,0.00009279022,0.000013956126,0.0001339281,7.368734e-7,0.0006545286,0.00016283005,0.00001649177,0.99587536,0.002729223,0.00006195698],"study_design_scores_gemma":[0.0014832515,0.00054404413,0.000038986185,0.000013390392,0.00014961432,0.00012996697,0.0003016209,0.00034548968,0.0002393642,0.99592865,0.000719155,0.0001064749],"about_ca_topic_score_codex":0.000005015409,"about_ca_topic_score_gemma":7.8551204e-7,"teacher_disagreement_score":0.029937511,"about_ca_system_score_codex":0.00022533297,"about_ca_system_score_gemma":0.0007435222,"threshold_uncertainty_score":0.41289693},"labels":[],"label_agreement":null},{"id":"W2963460189","doi":"10.1090/tran/7490","title":"Associative algebras for (logarithmic) twisted modules for a vertex operator algebra","year":2017,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Vertex operator algebra; Pure mathematics; Functor; Vertex (graph theory); Associative algebra; Universal enveloping algebra; Cellular algebra; Subalgebra; Associative property; Algebra over a field; Algebra representation; Automorphism; Jordan algebra; Discrete mathematics","score_opus":0.03780741463344144,"score_gpt":0.32505911489888295,"score_spread":0.2872517002654415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963460189","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40808326,0.000016204967,0.58728963,0.0019733636,0.00038557668,0.0016850675,0.00023541538,0.000084052524,0.00024738765],"genre_scores_gemma":[0.89926475,0.000008279565,0.09956092,0.00017078733,0.000080729376,0.00035869447,0.0000020282666,0.00005610856,0.0004976992],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984616,0.000052841966,0.0004769532,0.0003086018,0.0003219945,0.00037802415],"domain_scores_gemma":[0.9965325,0.0014146857,0.000735486,0.0009587401,0.0002641845,0.00009439345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003871948,0.00026273707,0.000738637,0.000016082467,0.0010907147,0.00009148407,0.0009445419,0.00011756845,0.000048785427],"category_scores_gemma":[0.0008201823,0.00018410925,0.0011867402,0.000104158,0.00079054886,0.00014161436,0.000047172172,0.00019705785,0.000001912564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012228682,0.00047059255,0.000045612273,0.00041729567,0.0011094271,9.114392e-8,0.0026959926,0.000017059136,0.00088152144,0.98787,0.0026049414,0.003765175],"study_design_scores_gemma":[0.0011306357,0.00018390609,0.00042450466,0.00006716096,0.00040596016,0.0000019964714,0.0008984688,0.0074228896,0.0032376365,0.9858545,0.00013536791,0.00023694283],"about_ca_topic_score_codex":0.00004840412,"about_ca_topic_score_gemma":0.000009186951,"teacher_disagreement_score":0.4911815,"about_ca_system_score_codex":0.00011543244,"about_ca_system_score_gemma":0.000084864194,"threshold_uncertainty_score":0.8389006},"labels":[],"label_agreement":null},{"id":"W2963466426","doi":"","title":"On the Invariant Theory of the Bezoutiant","year":2006,"lang":"de","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Invariant (physics); Equivariant map; Mathematics; Physics; Binary number; Pure mathematics; Combinatorics; Mathematical physics; Arithmetic","score_opus":0.01704417343226736,"score_gpt":0.22029661205843798,"score_spread":0.20325243862617062,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963466426","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7708014,0.0021329115,0.0045421533,0.009627571,0.010640446,0.0022243208,0.000051780968,0.00009630067,0.19988309],"genre_scores_gemma":[0.9936925,0.000012710923,0.00006532986,0.000731024,0.00048306157,0.000009737717,8.9520057e-7,0.000030001112,0.004974732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981469,0.0003741806,0.00048191918,0.00022350867,0.0004918201,0.00028167135],"domain_scores_gemma":[0.9966963,0.0017296692,0.00029785084,0.0011718941,0.000073462375,0.00003084365],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00067558285,0.00024440722,0.00028913212,0.000024338193,0.00024695942,0.000051622006,0.0007617641,0.00016185449,0.0017686898],"category_scores_gemma":[0.00034409043,0.000100888254,0.00028694942,0.00019393748,0.0002457972,0.000024627754,0.00024097814,0.00032064688,0.00008646097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004164084,0.00012568454,0.000022819508,0.000028010389,0.00010142469,0.0000012597123,0.00043877368,0.000036384285,0.00005783953,0.98783,0.011201056,0.0001151413],"study_design_scores_gemma":[0.0003223287,0.000058891692,0.0003838041,0.0000925025,0.00017158393,0.0000017382642,0.00029449206,0.00023183529,0.0037422804,0.99376726,0.00079334213,0.00013993958],"about_ca_topic_score_codex":0.00016486458,"about_ca_topic_score_gemma":0.00001783685,"teacher_disagreement_score":0.22289108,"about_ca_system_score_codex":0.000038322687,"about_ca_system_score_gemma":0.00010115774,"threshold_uncertainty_score":0.99914384},"labels":[],"label_agreement":null},{"id":"W2963489061","doi":"10.4310/joc.2012.v3.n3.a4","title":"Higher trivariate diagonal harmonics via generalized Tamari posets","year":2012,"lang":"en","type":"article","venue":"Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":83,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Diagonal; Combinatorics; Pure mathematics; Discrete mathematics; Geometry","score_opus":0.04701194548901836,"score_gpt":0.3067420525034614,"score_spread":0.25973010701444305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963489061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9727419,0.0024195404,0.004772385,0.00060257624,0.01786677,0.00020237966,0.000004051019,0.000053173182,0.0013372214],"genre_scores_gemma":[0.9953985,0.00012233575,0.0022633777,0.00019267334,0.0013570692,0.0000038502876,0.0000017205335,0.000062578365,0.00059786654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99715984,0.00019229835,0.0009775243,0.00014105061,0.0009579668,0.00057131395],"domain_scores_gemma":[0.9973051,0.00040987102,0.0010252773,0.00036677474,0.0004700305,0.00042296795],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010014611,0.00031581116,0.0007209334,0.00017006589,0.0001427061,0.00007082701,0.0005363711,0.00026448088,0.000269765],"category_scores_gemma":[0.00028302168,0.0002520588,0.0003865486,0.00034082623,0.00004578879,0.0004811609,0.00013372292,0.00062143075,0.000013821413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000117506774,0.0006653118,0.0011801211,0.000032805114,0.00020558204,0.000021076195,0.0003059485,0.0000040877558,0.00024957018,0.9879998,0.008733075,0.00048514028],"study_design_scores_gemma":[0.0027885383,0.00028775466,0.0038914457,0.000027578184,0.00021673625,0.00014564637,0.000016274886,0.00003740445,0.0008092199,0.97635543,0.015124922,0.00029904486],"about_ca_topic_score_codex":0.000006280374,"about_ca_topic_score_gemma":1.850167e-7,"teacher_disagreement_score":0.022656625,"about_ca_system_score_codex":0.00023476101,"about_ca_system_score_gemma":0.00013263439,"threshold_uncertainty_score":0.99999315},"labels":[],"label_agreement":null},{"id":"W2963508158","doi":"10.1088/1751-8121/aa9af5","title":"Self-dual vertex operator superalgebras and superconformal field theory","year":2017,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Superalgebra; Vertex (graph theory); Central charge; Mathematics; Pure mathematics; Lie superalgebra; Operator (biology); Equivariant map; Hilbert space; Operator product expansion; Mathematical physics; Combinatorics; Algebra over a field; Mathematical analysis","score_opus":0.013688602184975435,"score_gpt":0.2769475681254918,"score_spread":0.2632589659405164,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963508158","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9942797,0.00007816809,0.0029661306,0.0006931709,0.00023646044,0.00012066876,0.0000022358854,0.000017306604,0.001606173],"genre_scores_gemma":[0.9942361,0.0000482569,0.0051330095,0.00015549676,0.00037726643,0.0000025865425,1.6733404e-7,0.000023095714,0.000024031446],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986556,0.000082405604,0.0004883652,0.00015521,0.00035237087,0.00026606023],"domain_scores_gemma":[0.9979394,0.0011297967,0.00019013404,0.00034151587,0.0001358605,0.00026330724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072362885,0.00022292159,0.00055662723,0.000027779199,0.00031979856,0.00030151667,0.00029792942,0.00014462316,0.00021469532],"category_scores_gemma":[0.0010847262,0.00014363177,0.00014594311,0.000023503588,0.0005453375,0.00039189684,0.00024977388,0.00039883648,0.0000042904194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000102090555,0.00014804333,0.000073167386,0.0001408609,0.00012277359,0.000024974257,0.0009491469,2.5487129e-8,0.00006311741,0.9965133,0.000061290615,0.0018011812],"study_design_scores_gemma":[0.00093413965,0.00040320278,0.0000707679,0.0001067138,0.00016947545,0.0002978792,0.00021231378,0.00045148793,0.0014461409,0.99569494,0.00002981652,0.00018311768],"about_ca_topic_score_codex":4.669493e-7,"about_ca_topic_score_gemma":7.917644e-8,"teacher_disagreement_score":0.0021668791,"about_ca_system_score_codex":0.00001335011,"about_ca_system_score_gemma":0.000056167137,"threshold_uncertainty_score":0.5857133},"labels":[],"label_agreement":null},{"id":"W2963508744","doi":"10.4171/jncg/11-1-4","title":"The derived non-commutative Poisson bracket on Koszul Calabi–Yau algebras","year":2017,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"National Natural Science Foundation of China","keywords":"Calabi–Yau manifold; Mathematics; Commutative property; Bracket; Pure mathematics; Poisson bracket; Algebra over a field; Structural engineering; Lie algebra","score_opus":0.04184226704665367,"score_gpt":0.36007494604153234,"score_spread":0.31823267899487867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963508744","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9873499,0.00025635547,0.0018883537,0.0027912527,0.001973693,0.00028688347,0.000014377688,0.000019984453,0.00541919],"genre_scores_gemma":[0.9963749,0.000100147816,0.0022528002,0.00025893422,0.00061524444,0.000009092948,0.000001457739,0.00006261163,0.00032482325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99687564,0.00040883085,0.0009840598,0.00023875677,0.0009679212,0.00052481494],"domain_scores_gemma":[0.99085456,0.004180287,0.0027722935,0.0011623732,0.0007786173,0.0002518953],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0017309093,0.00042135458,0.00083799957,0.00023251926,0.0019892333,0.00047579998,0.002063203,0.00019856922,0.00008305569],"category_scores_gemma":[0.0042700185,0.00026232065,0.0004623746,0.0002193345,0.00054156594,0.00052838254,0.00039214804,0.0013448464,0.000029243158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0050318697,0.0019506358,0.009683845,0.00026229952,0.0055339886,0.0010208988,0.031179741,0.00022056233,0.0030237744,0.8152963,0.040684458,0.08611164],"study_design_scores_gemma":[0.0027118064,0.0012751673,0.030098641,0.00027020034,0.0001539978,0.00012429513,0.003021447,0.00009053549,0.0069960346,0.95381415,0.0010564517,0.0003872711],"about_ca_topic_score_codex":0.000041193587,"about_ca_topic_score_gemma":0.000024808793,"teacher_disagreement_score":0.13851787,"about_ca_system_score_codex":0.00025773526,"about_ca_system_score_gemma":0.00021519417,"threshold_uncertainty_score":0.9999829},"labels":[],"label_agreement":null},{"id":"W2963528620","doi":"","title":"INTEGRAL POINTS FOR DRINFELD MODULES","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Torsion (gastropod); Pure mathematics; Finitely-generated abelian group; Orbit (dynamics); Point (geometry); Geometry","score_opus":0.044300048581177004,"score_gpt":0.30940727772908194,"score_spread":0.26510722914790497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963528620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7079634,0.000023331959,0.27271983,0.00298228,0.0014064483,0.00048506426,0.000008392536,0.00026014782,0.014151095],"genre_scores_gemma":[0.9806277,0.000003365635,0.014868604,0.00010374499,0.00018231761,0.00002941931,3.8452163e-7,0.000016329383,0.0041681034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994747,0.000008275878,0.00013417879,0.00013199446,0.00008843507,0.00016241205],"domain_scores_gemma":[0.9993748,0.0002944571,0.000033552857,0.00020115155,0.00005113886,0.000044876557],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007515941,0.00008851669,0.00012468771,0.000021188833,0.000036043588,0.000012802304,0.00012661102,0.00005666399,0.00027935582],"category_scores_gemma":[0.00024621858,0.000044698092,0.000084301086,0.000023030745,0.000022662174,0.00006240356,0.00003601198,0.000024588799,0.000017725608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014788488,0.000011661167,0.00007487298,0.000007428092,0.000013570724,1.5656761e-7,0.000028884202,1.42315955e-8,0.00017270079,0.98501694,0.004197912,0.010461068],"study_design_scores_gemma":[0.00056768657,0.000048284783,0.00009622422,0.000017190723,0.000008386704,0.0000014251225,0.000023874316,0.000016911034,0.0045798034,0.9910919,0.0034568943,0.000091388414],"about_ca_topic_score_codex":0.0000051822285,"about_ca_topic_score_gemma":0.000009459619,"teacher_disagreement_score":0.27266434,"about_ca_system_score_codex":0.000020687196,"about_ca_system_score_gemma":0.000010421445,"threshold_uncertainty_score":0.30587503},"labels":[],"label_agreement":null},{"id":"W2963627099","doi":"10.1142/s0219498812500697","title":"POSITIVITY FOR REGULAR CLUSTER CHARACTERS IN ACYCLIC CLUSTER ALGEBRAS","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Indecomposable module; Algebraically closed field; Mathematics; Cluster algebra; Cluster (spacecraft); Combinatorics; Path (computing); Field (mathematics); Simple (philosophy); Discrete mathematics; Algebra over a field; Pure mathematics; Physics; Computer science","score_opus":0.02597681442868847,"score_gpt":0.30547222003073166,"score_spread":0.27949540560204317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963627099","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9876545,0.0006730499,0.008789288,0.0017818855,0.00025435374,0.00069305015,0.0000060895172,0.000011587353,0.00013619542],"genre_scores_gemma":[0.99679977,0.0000736348,0.0018092336,0.00040450078,0.00069627113,0.00008271467,0.0000026480327,0.000025246907,0.000105957864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882764,0.000053486714,0.0005204196,0.00012899472,0.00018611706,0.00028334552],"domain_scores_gemma":[0.99867034,0.0004543478,0.00038684945,0.000182452,0.00013725247,0.00016874917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056607556,0.00015229639,0.0003237241,0.00013378418,0.00010682317,0.000038590908,0.00017531075,0.00012284411,0.000013983102],"category_scores_gemma":[0.00012253525,0.0001236179,0.00012671493,0.00014143914,0.000031149128,0.00043890675,0.00005351978,0.00020371357,0.0000028979503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009787616,0.00024305053,0.00081506546,0.000086763306,0.00007395014,3.8785353e-7,0.0008307362,0.0000016548815,0.0011147682,0.99281883,0.0009984167,0.0029185133],"study_design_scores_gemma":[0.0018611457,0.00011170886,0.010039881,0.00006272589,0.00013743162,0.000108577304,0.00015301752,0.0001149247,0.0018508007,0.97874427,0.006571547,0.00024398712],"about_ca_topic_score_codex":0.0000013701986,"about_ca_topic_score_gemma":0.0000019411489,"teacher_disagreement_score":0.014074565,"about_ca_system_score_codex":0.00005161177,"about_ca_system_score_gemma":0.000034256733,"threshold_uncertainty_score":0.50409913},"labels":[],"label_agreement":null},{"id":"W2963633967","doi":"10.4153/cmb-2002-063-0","title":"Classification of Quantum Tori with Involution","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Involution (esoterism); Pure mathematics; Affine transformation; Torus; Lie algebra; Quantum; Algebra over a field; Geometry; Quantum mechanics","score_opus":0.046189315034493965,"score_gpt":0.24138286557187313,"score_spread":0.19519355053737916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963633967","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9370897,0.00013800888,0.009280335,0.0054177144,0.00025524953,0.00064188446,0.000015017895,0.00010490071,0.04705721],"genre_scores_gemma":[0.9969534,0.000003661915,0.0019002713,0.000089718065,0.00007527654,0.00002315096,0.000002194751,0.000026500156,0.0009257804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890816,0.000041219377,0.0003208224,0.00018722616,0.0002562472,0.0002863365],"domain_scores_gemma":[0.99892986,0.0001938268,0.00012081133,0.00036962776,0.000103855986,0.00028199484],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00014935515,0.00014518766,0.0002612824,0.00009049686,0.00007873622,0.000020044601,0.00018400249,0.00012299925,0.008450199],"category_scores_gemma":[0.00033321322,0.00011547547,0.000056374858,0.00015292488,0.00010620973,0.000026676878,0.0000127432595,0.00012745718,0.00064574386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049835103,0.00003873361,0.00005011977,0.00008784103,0.000016700858,0.0000034208092,0.00024739845,0.0000010091702,0.000026264614,0.98744065,0.011913904,0.00016898317],"study_design_scores_gemma":[0.00030253254,0.00009187155,0.00022354098,0.00009299804,0.000037329453,0.000016201122,0.00016604188,0.0024429436,0.000072840914,0.9892183,0.00715694,0.00017848374],"about_ca_topic_score_codex":0.00036064343,"about_ca_topic_score_gemma":0.00025782516,"teacher_disagreement_score":0.05986377,"about_ca_system_score_codex":0.00013283416,"about_ca_system_score_gemma":0.00005309395,"threshold_uncertainty_score":0.9924562},"labels":[],"label_agreement":null},{"id":"W2963647213","doi":"10.1142/s0219199713500478","title":"n-Point Virasoro algebras and their modules of densities","year":2013,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Novikov self-consistency principle; Automorphism; Pure mathematics; Quotient; Virasoro algebra; Zero (linguistics); Class (philosophy); Type (biology); Lie algebra; Algebra over a field; Algebra representation; Cellular algebra","score_opus":0.10896846943502347,"score_gpt":0.31535876433788324,"score_spread":0.20639029490285976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963647213","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98514193,0.0023226358,0.0028737423,0.0007278612,0.00007606842,0.0007303234,0.000008463091,0.00007354395,0.008045421],"genre_scores_gemma":[0.96001285,0.00018645792,0.03948262,0.000048810183,0.000013786637,0.000105366315,0.0000056814533,0.000030276957,0.000114132774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870783,0.00013282536,0.0007225612,0.00015389574,0.00012964992,0.0001532077],"domain_scores_gemma":[0.9961285,0.0015824523,0.00030945902,0.0017761843,0.00014948279,0.000053893662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037064173,0.00020310075,0.00047498877,0.00013009079,0.000097417396,0.000044533354,0.00074522686,0.000109388246,0.00003740252],"category_scores_gemma":[0.00036746258,0.00016379092,0.00007114783,0.00016367232,0.00033859487,0.00026870167,0.00055242,0.00021086735,0.0000054560714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000028423585,0.0001948103,0.000443379,0.00018183292,0.000042882468,2.8694924e-7,0.006253423,0.0000012115195,0.00028749154,0.99109995,0.0007480152,0.00074387074],"study_design_scores_gemma":[0.00032975213,0.00003229911,0.00033205608,0.00018731764,0.000008682424,0.000007800465,0.0058091492,0.004460942,0.00081421906,0.9877422,0.000113511145,0.00016209652],"about_ca_topic_score_codex":0.00008329509,"about_ca_topic_score_gemma":0.00002515723,"teacher_disagreement_score":0.03660888,"about_ca_system_score_codex":0.000027859849,"about_ca_system_score_gemma":0.00004992543,"threshold_uncertainty_score":0.66791993},"labels":[],"label_agreement":null},{"id":"W2963673032","doi":"10.1016/j.jalgebra.2017.02.004","title":"A family of simple weight modules over the Virasoro algebra","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Priority Academic Program Development of Jiangsu Higher Education Institutions; Chinese Academy of Sciences; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Witt algebra; Simple (philosophy); Isomorphism (crystallography); Virasoro algebra; Algebra over a field; Simple module; Pure mathematics; Polynomial; Construct (python library); Algebra representation; Cellular algebra; Computer science; Mathematical analysis; Programming language","score_opus":0.03037797353394111,"score_gpt":0.30173073363359965,"score_spread":0.27135276009965853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963673032","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99532753,0.0005162784,0.0008055546,0.0005071247,0.0012333579,0.0001388471,0.0000061614073,0.000011216764,0.0014539292],"genre_scores_gemma":[0.99769545,0.000111135465,0.0010520549,0.00016123336,0.0008351523,0.0000022470576,3.5419768e-7,0.000035514568,0.00010684143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979731,0.00008543461,0.0008066458,0.00014853654,0.00071106286,0.0002752332],"domain_scores_gemma":[0.9964418,0.00039457803,0.0018103176,0.00094398943,0.00029485277,0.00011447552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006319783,0.00022377045,0.00057285925,0.000083618506,0.00035583292,0.00013973663,0.0013191389,0.00013872642,0.00018217073],"category_scores_gemma":[0.0006810841,0.00013225107,0.00041225975,0.000068029054,0.00021439833,0.0003889864,0.00022035497,0.000391327,0.0000043395453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013561657,0.0001276135,0.0019466762,0.000055211796,0.00036100816,0.000026871692,0.00057827064,0.000007199108,0.0018888896,0.978115,0.013285984,0.0034716404],"study_design_scores_gemma":[0.0010693981,0.00018782188,0.03833974,0.00007539836,0.00014077577,0.000047266276,0.000118055425,0.00007822978,0.0024352237,0.95491236,0.0024429087,0.00015282238],"about_ca_topic_score_codex":0.00004724936,"about_ca_topic_score_gemma":0.0000065987015,"teacher_disagreement_score":0.036393065,"about_ca_system_score_codex":0.000041854353,"about_ca_system_score_gemma":0.000105325984,"threshold_uncertainty_score":0.5393042},"labels":[],"label_agreement":null},{"id":"W2963688710","doi":"10.4153/cjm-2011-032-6","title":"A Bott–Borel–Weil Theorem for Diagonal Ind-groups","year":2011,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Natural Sciences and Engineering Research Council of Canada; Jacobs University; Mathematisches Forschungsinstitut Oberwolfach; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Cohomology; Borel subgroup; Line bundle; Pure mathematics; Equivariant cohomology; Group (periodic table); Weyl group; Algebraic group; Rank (graph theory); Diagonal; Combinatorics; Algebraic number; Mathematical analysis; Geometry","score_opus":0.06624270572471373,"score_gpt":0.2633712471083889,"score_spread":0.19712854138367514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963688710","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95114917,0.00037251957,0.039430406,0.00021316609,0.0022725116,0.00052269007,0.000043198823,0.000025064224,0.005971277],"genre_scores_gemma":[0.9470394,0.00000577419,0.052133247,0.00011025979,0.0005020837,0.0000108207005,0.0000011269963,0.00006016108,0.00013710516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983895,0.000036371453,0.00073966634,0.00012711709,0.00026779802,0.00043955044],"domain_scores_gemma":[0.99769545,0.0004499883,0.0005821668,0.0003266449,0.00033724267,0.0006085333],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007136432,0.00022713949,0.0004950763,0.00021496539,0.00015511648,0.000055379216,0.00055977295,0.00017241109,0.00032827005],"category_scores_gemma":[0.0010183285,0.0001804826,0.0002944349,0.00013291414,0.00012099251,0.00013849577,0.00001996326,0.0002695906,0.000006918992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001589648,0.000055449902,0.00017573773,0.00011854529,0.000119653545,0.00003562508,0.0075487746,0.0000010432434,0.000008152646,0.9876606,0.0038775,0.00038306185],"study_design_scores_gemma":[0.0006846541,0.00020990966,0.00009703045,0.00013324441,0.00013317965,0.0002093019,0.001490632,0.00008574303,0.00040241776,0.99531007,0.0010359683,0.00020787698],"about_ca_topic_score_codex":0.000109751105,"about_ca_topic_score_gemma":0.0011567249,"teacher_disagreement_score":0.012702843,"about_ca_system_score_codex":0.00012756935,"about_ca_system_score_gemma":0.0008398518,"threshold_uncertainty_score":0.7359867},"labels":[],"label_agreement":null},{"id":"W2963696223","doi":"10.2140/pjm.2011.253.289","title":"Group gradings on restricted Cartan-type Lie algebras","year":2011,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cartan matrix; Type (biology); Pure mathematics; Cartan subalgebra; Cartan decomposition; Group (periodic table); Lie algebra; Algebra over a field; Kac–Moody algebra; Adjoint representation of a Lie algebra; Lie conformal algebra; Chemistry","score_opus":0.070843595948776,"score_gpt":0.2746032222034321,"score_spread":0.2037596262546561,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963696223","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9857906,0.00015357272,0.0014759016,0.000056322642,0.0017542846,0.0002069632,0.0000022820602,0.00005945817,0.010500632],"genre_scores_gemma":[0.9729476,0.00007943725,0.026339805,0.000031504882,0.00030788584,0.0000021920964,7.0224615e-7,0.00006302184,0.00022783111],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766594,0.000077512756,0.0010186405,0.00017519885,0.00071114046,0.00035157893],"domain_scores_gemma":[0.99727285,0.0006673133,0.0010263054,0.00047802238,0.00034322386,0.00021226375],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005569565,0.00030035188,0.00063582725,0.00023224154,0.00011199105,0.00004886157,0.0005074692,0.00017912919,0.00024740683],"category_scores_gemma":[0.0011325538,0.00022378817,0.0002524557,0.00035436064,0.000076663666,0.00015340911,0.00005182762,0.0004933545,0.00003583886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008242061,0.0004333819,0.0001379119,0.00009647543,0.00014272935,0.0000583881,0.005595883,2.7213704e-7,0.00024398362,0.9895613,0.0034037211,0.00024350101],"study_design_scores_gemma":[0.00064943073,0.00076244684,0.00009277688,0.00021801717,0.00015119502,0.00024638273,0.0022376578,0.000019865362,0.0013779599,0.9936512,0.00035937593,0.00023370846],"about_ca_topic_score_codex":0.0000036422034,"about_ca_topic_score_gemma":7.5869053e-7,"teacher_disagreement_score":0.024863902,"about_ca_system_score_codex":0.00008519192,"about_ca_system_score_gemma":0.0000696155,"threshold_uncertainty_score":0.9125817},"labels":[],"label_agreement":null},{"id":"W2963727981","doi":"10.1007/s00209-016-1760-4","title":"Cluster categories of type $${\\mathbb {A}}_\\infty ^\\infty $$ A ∞ ∞ and triangulations of the infinite strip","year":2016,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Mathematics; Type (biology); Cluster (spacecraft); Bounded function; Derived category; Combinatorics; Plane (geometry); Triangulated category; Cluster algebra; Pure mathematics; Geometry; Mathematical analysis; Functor; Physics","score_opus":0.023742569663568126,"score_gpt":0.26226219975624765,"score_spread":0.2385196300926795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963727981","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97738135,0.004774447,0.005259889,0.001680492,0.0033779661,0.002053115,0.00034460303,0.00009390072,0.005034232],"genre_scores_gemma":[0.9955222,0.00026908368,0.0023179075,0.000054084834,0.00030393715,0.000025358804,0.0000037393352,0.00008373185,0.0014199778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965352,0.00031269522,0.0014998331,0.00044354782,0.0007328748,0.00047589673],"domain_scores_gemma":[0.9948074,0.0018050947,0.0013436128,0.0013978058,0.0004960032,0.00015008078],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00081086793,0.0005267147,0.0011107206,0.00015190797,0.0002178481,0.000060387447,0.00065342285,0.0004640274,0.0004482137],"category_scores_gemma":[0.0020797343,0.00029062855,0.0003349191,0.00056740385,0.0006472429,0.00026460568,0.00062060665,0.00030122205,0.00004546314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001449252,0.00018718193,0.0011367191,0.0010932458,0.0004996585,0.0000010864528,0.004629553,0.000009014196,0.001421112,0.9875819,0.0019594803,0.0013361386],"study_design_scores_gemma":[0.0063950284,0.0004870977,0.0053767688,0.002760567,0.0017868584,0.000035073168,0.00085345254,0.00092510827,0.01318098,0.9488086,0.01835318,0.0010372734],"about_ca_topic_score_codex":0.000061775376,"about_ca_topic_score_gemma":0.000015251464,"teacher_disagreement_score":0.038773272,"about_ca_system_score_codex":0.000012469724,"about_ca_system_score_gemma":0.00029008053,"threshold_uncertainty_score":0.9999546},"labels":[],"label_agreement":null},{"id":"W2963748024","doi":"10.1016/j.jalgebra.2011.07.008","title":"Lie tori of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi mathvariant=\"normal\">B</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> and graded-simple Jordan structures covered by a triangle","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Lie algebra; Abelian group; Affine transformation; Type (biology); Pure mathematics; Torus; Algebra over a field; Geometry","score_opus":0.023727514768292362,"score_gpt":0.2469241915110793,"score_spread":0.22319667674278695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963748024","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98649126,0.0009714073,0.0002970594,0.00013970977,0.002104339,0.000057488327,0.000098352415,0.00005747217,0.009782899],"genre_scores_gemma":[0.9948896,0.00040279445,0.0029741942,0.00036328775,0.0009809313,0.00003234244,0.000054929398,0.0002084436,0.00009346099],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9958886,0.00017343966,0.0013781294,0.00050848786,0.0012375712,0.00081378507],"domain_scores_gemma":[0.99596393,0.0005820794,0.0018896821,0.00087602244,0.00019935147,0.000488932],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00091318035,0.0004621512,0.00048383087,0.00022627518,0.00044536163,0.00030616336,0.00092309393,0.00078342983,0.007946929],"category_scores_gemma":[0.0008409956,0.0005805555,0.000702856,0.00039853927,0.00033993984,0.00073260925,0.00048650271,0.00082004303,0.00006826785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012056859,0.0001764493,0.00001887737,0.0003442848,0.0008458588,0.0002465252,0.0018560889,0.000024529914,0.0016398586,0.9312731,0.061851036,0.00051767885],"study_design_scores_gemma":[0.0057129404,0.0038152568,0.00027424097,0.0006760563,0.0016774196,0.0023766437,0.0017553557,0.006547989,0.553231,0.41853648,0.004052156,0.0013444532],"about_ca_topic_score_codex":0.00032963723,"about_ca_topic_score_gemma":0.00007844172,"teacher_disagreement_score":0.55159116,"about_ca_system_score_codex":0.000020911093,"about_ca_system_score_gemma":0.00057989376,"threshold_uncertainty_score":0.9996646},"labels":[],"label_agreement":null},{"id":"W2963767818","doi":"10.1017/is009009029jkt082","title":"Equivariant <i>K</i>-theory of quaternionic flag manifolds","year":2009,"lang":"en","type":"article","venue":"Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; University of Regina","funders":"","keywords":"Generalized flag variety; Subring; Equivariant map; Mathematics; Flag (linear algebra); Maximal torus; Pure mathematics; Ring (chemistry); Quaternion; Combinatorics; Action (physics); K-theory (physics); Torus; Group (periodic table); Algebra over a field; Lie group; Physics; Geometry; Cohomology; Chemistry","score_opus":0.0209202100368849,"score_gpt":0.301352293387536,"score_spread":0.2804320833506511,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963767818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89515465,0.0035785444,0.09823549,0.0009333963,0.00033850982,0.00050797086,0.000015143861,0.000033481283,0.001202797],"genre_scores_gemma":[0.99634993,0.00037185202,0.0014725851,0.00074771716,0.00036942487,0.000018571605,0.0000021248798,0.000026537336,0.00064127275],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99732095,0.0006593025,0.0010271611,0.00035246424,0.00025661755,0.00038351183],"domain_scores_gemma":[0.9960664,0.0021703516,0.0007287524,0.0004209298,0.00029952487,0.00031404672],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0035960726,0.00031497993,0.0007610498,0.000514687,0.00025086387,0.000040794697,0.0004572197,0.00028430458,0.00042872684],"category_scores_gemma":[0.00081765297,0.0002542894,0.0001749266,0.00046582153,0.00023570925,0.00022133488,0.00013238478,0.00038944156,0.000008744862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008165684,0.00020387182,0.000025246292,0.00007136839,0.000140833,0.000008479669,0.0005900068,0.000005777691,0.0021644235,0.9748453,0.000102041246,0.021026108],"study_design_scores_gemma":[0.00084492046,0.00091380434,0.00047050012,0.000057083907,0.00023152167,0.00045356897,0.00068443146,0.000005855017,0.0036479419,0.9907074,0.001721703,0.00026124244],"about_ca_topic_score_codex":9.542933e-7,"about_ca_topic_score_gemma":4.9592046e-7,"teacher_disagreement_score":0.101195246,"about_ca_system_score_codex":0.000033401953,"about_ca_system_score_gemma":0.00007946917,"threshold_uncertainty_score":0.99999094},"labels":[],"label_agreement":null},{"id":"W2963781974","doi":"10.1016/j.jpaa.2010.04.024","title":"On the moduli stack of commutative, 1-parameter formal groups","year":2010,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Stack (abstract data type); Moduli; Prime (order theory); Stratification (seeds); Formal group; Pure mathematics; Algebraic number; Commutative property; Algebraic geometry; Algebra over a field; Combinatorics; Mathematical analysis; Computer science","score_opus":0.019402663719373908,"score_gpt":0.26216198213268443,"score_spread":0.24275931841331053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963781974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9968293,0.000027429094,0.00085433276,0.00034547696,0.00031993954,0.00014077079,0.0000031374118,0.000005513906,0.0014741452],"genre_scores_gemma":[0.9985473,0.000006485745,0.0009878868,0.00021215915,0.00020631686,0.0000033692777,3.7797474e-7,0.000015499565,0.000020584055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989839,0.000029092276,0.0004150231,0.00008287422,0.0003208414,0.0001682488],"domain_scores_gemma":[0.99838555,0.0007642733,0.00047402544,0.00021431217,0.00008881185,0.00007305703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042006702,0.0001431627,0.00032786446,0.00005200222,0.000102427424,0.00003346991,0.00026625386,0.000101724356,0.00011097672],"category_scores_gemma":[0.00012508292,0.00007844819,0.000113284645,0.00007767749,0.00011243267,0.00009903986,0.00006518888,0.0006204774,0.0000014566059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011552811,0.0000655082,0.000016859905,0.000021439762,0.00007645948,0.0000017719146,0.0008114695,0.0000048420793,0.0027372888,0.9938285,0.001018843,0.0013015295],"study_design_scores_gemma":[0.00066871976,0.000210546,0.00023613436,0.000020293503,0.00005116616,0.000030909912,0.00043560285,0.00004107465,0.0088191405,0.9892538,0.00014209165,0.00009052732],"about_ca_topic_score_codex":7.916411e-7,"about_ca_topic_score_gemma":0.000002484488,"teacher_disagreement_score":0.0060818517,"about_ca_system_score_codex":0.0000066219245,"about_ca_system_score_gemma":0.000026551501,"threshold_uncertainty_score":0.31990245},"labels":[],"label_agreement":null},{"id":"W2963786330","doi":"10.1016/j.jalgebra.2017.08.014","title":"Higher level Zhu algebras are subquotients of universal enveloping algebras","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"China Scholarship Council","keywords":"Mathematics; Vertex (graph theory); Pure mathematics; Universal enveloping algebra; Operator (biology); Vertex operator algebra; Algebra over a field; Combinatorics; Chemistry; Current algebra; Gene; Jordan algebra; Graph; Biochemistry","score_opus":0.07850895756870341,"score_gpt":0.310027666630978,"score_spread":0.23151870906227462,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963786330","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9927722,0.00022083396,0.00081963534,0.00089634774,0.0035063587,0.00015783496,0.000011700737,0.000022639915,0.0015924387],"genre_scores_gemma":[0.99490553,0.00005057376,0.0034202705,0.00010856629,0.0007471977,0.0000011721088,9.675542e-7,0.000057887246,0.0007078393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99727994,0.00009551729,0.0010413241,0.0002535087,0.00091044005,0.0004192915],"domain_scores_gemma":[0.994794,0.0002483727,0.0032678596,0.0008384453,0.000611514,0.00023979455],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005200887,0.00033879353,0.00088937045,0.00023235365,0.00036507534,0.00013575538,0.0013795267,0.00025142054,0.00035972535],"category_scores_gemma":[0.00064304384,0.000283579,0.00044126104,0.00011742439,0.00023329578,0.0007163749,0.00030883934,0.00049813127,0.000010334174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025438413,0.0002344832,0.01271544,0.00017424063,0.00059395726,0.00014029676,0.00067558984,0.0000070564083,0.00066787476,0.9758316,0.007244015,0.0014610424],"study_design_scores_gemma":[0.002634021,0.00027547142,0.072660334,0.00048421256,0.0002187608,0.000078877725,0.00030274832,0.000011832355,0.005386936,0.91596574,0.001602485,0.00037856834],"about_ca_topic_score_codex":0.000032577467,"about_ca_topic_score_gemma":0.000009066089,"teacher_disagreement_score":0.059944894,"about_ca_system_score_codex":0.00014524376,"about_ca_system_score_gemma":0.00022838215,"threshold_uncertainty_score":0.9999616},"labels":[],"label_agreement":null},{"id":"W2963837060","doi":"10.1016/j.aim.2009.05.017","title":"Coloured quiver mutation for higher cluster categories","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Quiver; Mathematics; Cluster (spacecraft); Mutation; Cluster algebra; Pure mathematics; Computer science; Genetics; Statistical physics; Biology; Programming language; Physics","score_opus":0.02232303010880349,"score_gpt":0.32932068156287614,"score_spread":0.30699765145407265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963837060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.745765,0.0032612495,0.2121225,0.0025957203,0.0052540856,0.0049292846,0.00002930905,0.00061787845,0.025424995],"genre_scores_gemma":[0.91584104,0.000044653167,0.08261143,0.0001995336,0.00017218309,0.00007396643,0.000004927229,0.00002720463,0.0010250668],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891794,0.000021799213,0.00040142104,0.00019399195,0.0002057472,0.00025913297],"domain_scores_gemma":[0.99888605,0.0005478567,0.00018948899,0.00025268795,0.00008573801,0.00003818586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019357658,0.00018029216,0.00031468854,0.00006239825,0.00007197252,0.00003269912,0.00018789241,0.00010744426,0.00005017621],"category_scores_gemma":[0.00024601084,0.00015182733,0.000074208765,0.00014246297,0.000041359457,0.00029983858,0.000020289317,0.0000975691,0.000005088408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003461824,0.00010513981,0.000013634825,0.00014400634,0.000008523174,0.0000022556583,0.0015346697,0.00021648649,0.000014326873,0.9954068,0.0004214657,0.0020980665],"study_design_scores_gemma":[0.00092006585,0.000114131886,0.00007969614,0.000050616938,0.000027577218,0.0000046139867,0.0002980998,0.0014765061,0.00023869902,0.99405384,0.0025454317,0.00019073892],"about_ca_topic_score_codex":0.0000010248954,"about_ca_topic_score_gemma":0.000008439286,"teacher_disagreement_score":0.17007606,"about_ca_system_score_codex":0.00006373312,"about_ca_system_score_gemma":0.000020489666,"threshold_uncertainty_score":0.6191339},"labels":[],"label_agreement":null},{"id":"W2963918696","doi":"10.1090/s0002-9947-10-04995-0","title":"Hopf algebras and the logarithm of the 𝑆-transform in free probability","year":2010,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Saint Mary's University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; American Institute of Mathematics","keywords":"Mathematics; Combinatorics; Multiplicative function; Integer (computer science); Noncommutative geometry; Hopf algebra; Group (periodic table); Exponent; Algebra over a field; Mathematical analysis; Physics; Pure mathematics; Quantum mechanics","score_opus":0.011835200016408124,"score_gpt":0.25310004347958104,"score_spread":0.24126484346317292,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963918696","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.977408,0.000027565495,0.012741382,0.008098971,0.0002117792,0.0008606848,0.000016836551,0.00002082063,0.00061396795],"genre_scores_gemma":[0.9899532,0.00001758058,0.009748658,0.0001057834,0.000020781226,0.000044199285,6.556322e-8,0.000015230546,0.00009447774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871105,0.000121985955,0.00045692356,0.00015999151,0.00035178012,0.00019828966],"domain_scores_gemma":[0.99762374,0.0010543161,0.00025393208,0.00096881925,0.000060599945,0.000038619593],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0007121619,0.0001522427,0.00044953506,0.000010348669,0.00017876577,0.00001248855,0.0007353576,0.00008284346,0.00007476742],"category_scores_gemma":[0.0002794796,0.00006898706,0.00051721674,0.0003917346,0.0031694104,0.000055705346,0.000057843597,0.00059167884,3.3709782e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051147792,0.00028194144,0.00013929907,0.00025254997,0.00011329431,3.883353e-8,0.0047017056,0.000014953185,0.00030944817,0.9919671,0.00013423909,0.0020342737],"study_design_scores_gemma":[0.00079874543,0.000025283876,0.0011284712,0.00003748729,0.00011744596,0.000008039878,0.0006661227,0.0007553455,0.0013280752,0.9950274,0.00002781297,0.00007974007],"about_ca_topic_score_codex":0.0002885016,"about_ca_topic_score_gemma":0.00014052492,"teacher_disagreement_score":0.012545232,"about_ca_system_score_codex":0.000023051982,"about_ca_system_score_gemma":0.00005918334,"threshold_uncertainty_score":0.99954337},"labels":[],"label_agreement":null},{"id":"W2963940206","doi":"","title":"0 Irreducible Modules for Extended Affine Lie Algebras","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine transformation; Affine Lie algebra; Pure mathematics; Representation theory; Lie algebra; Representation of a Lie group; Affine representation; Adjoint representation of a Lie algebra; Algebra over a field; Type (biology); Lie conformal algebra; Current algebra","score_opus":0.04589529930635521,"score_gpt":0.31028020760715574,"score_spread":0.2643849083008005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963940206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8156098,0.00014082952,0.15826601,0.0034451706,0.0022376808,0.0010434831,0.000024660045,0.0005601693,0.018672198],"genre_scores_gemma":[0.966001,0.000010018674,0.019024326,0.00010003222,0.0004352724,0.00007806977,0.0000014147265,0.00003784437,0.014312036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990202,0.000014254162,0.00023024128,0.00028229287,0.00016130666,0.00029168418],"domain_scores_gemma":[0.9989521,0.0003897907,0.00006879978,0.0004204168,0.00008568919,0.00008321744],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00012945595,0.00015919811,0.00022332404,0.000043765947,0.000078009616,0.000025663061,0.00021362295,0.000093296134,0.00092830264],"category_scores_gemma":[0.00029519963,0.000089661575,0.00012338278,0.00006277088,0.00003759337,0.00010793066,0.00006021658,0.000034595192,0.000030320323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033232114,0.000046748915,0.0000069694142,0.0000187442,0.000031305553,4.2345673e-7,0.000035372832,1.6370974e-7,0.0017923134,0.9680796,0.015300167,0.014654962],"study_design_scores_gemma":[0.0010234403,0.00008938349,0.00008921991,0.00002274123,0.00002301841,0.000003359198,0.000025513156,0.000034490324,0.01593344,0.9777622,0.0048191063,0.00017407363],"about_ca_topic_score_codex":0.0000065693234,"about_ca_topic_score_gemma":0.0000063695556,"teacher_disagreement_score":0.15039119,"about_ca_system_score_codex":0.00003405556,"about_ca_system_score_gemma":0.000029881321,"threshold_uncertainty_score":0.999985},"labels":[],"label_agreement":null},{"id":"W2963944370","doi":"10.1017/jsl.2018.10","title":"CONSTRUCTING TYPES IN DIFFERENTIALLY CLOSED FIELDS THAT ARE ANALYSABLE IN THE CONSTANTS","year":2018,"lang":"en","type":"article","venue":"Journal of Symbolic Logic","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Combinatorics; Rank (graph theory); Type (biology); Physics; Base (topology); Canonical form; Constant (computer programming); Mathematics; Mathematical analysis; Pure mathematics; Biology","score_opus":0.06778004490792747,"score_gpt":0.3185973889288821,"score_spread":0.2508173440209547,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963944370","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.994916,0.00011475468,0.0002412072,0.00045898886,0.0005767631,0.000090749854,9.101881e-7,0.0000052291575,0.0035953575],"genre_scores_gemma":[0.9990164,0.000022383343,0.00038370548,0.00021960968,0.00032872247,0.0000011038074,1.6495906e-7,0.0000072988287,0.00002057793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987984,0.00014539673,0.00045963842,0.000097314056,0.0002910474,0.00020820388],"domain_scores_gemma":[0.99888164,0.00034743696,0.00046298423,0.00016971535,0.000103266786,0.000034941917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005287678,0.000117987875,0.00038815613,0.00013905621,0.000049809525,0.00005141957,0.00034332846,0.00011471625,0.00014464691],"category_scores_gemma":[0.00030617294,0.00006844315,0.00009277565,0.00022952817,0.00010318826,0.00008652861,0.000038734972,0.0003515043,0.0000021514888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015146582,0.00018604347,0.1378459,0.000056217246,0.00012064881,0.00017951362,0.004127266,0.000009659966,0.00011072871,0.8543569,0.0007481732,0.002107518],"study_design_scores_gemma":[0.00094211404,0.00011546794,0.014365205,0.00012962434,0.000037591442,0.00013521548,0.0033074794,0.00007107,0.00027328686,0.98050445,0.00002240162,0.00009606425],"about_ca_topic_score_codex":0.000024155375,"about_ca_topic_score_gemma":0.00022590421,"teacher_disagreement_score":0.12614761,"about_ca_system_score_codex":0.000051100356,"about_ca_system_score_gemma":0.000061968836,"threshold_uncertainty_score":0.27910307},"labels":[],"label_agreement":null},{"id":"W2963978282","doi":"10.1017/s1446788714000421","title":"ROW CONVEX TABLEAUX AND BOTT–SAMELSON VARIETIES","year":2014,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Champlain Regional College; St. Lawrence College","funders":"Australian Mathematical Society; University of Cambridge","keywords":"Monomial; Mathematics; Section (typography); Regular polygon; Type (biology); Pure mathematics; Polynomial; Variety (cybernetics); Combinatorics; Mathematical analysis; Geometry; Computer science; Statistics; Geology","score_opus":0.02864412879289008,"score_gpt":0.2795864351168911,"score_spread":0.250942306324001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963978282","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9768066,0.00007272656,0.012661417,0.008058653,0.0009555021,0.0002630459,0.0000023865714,0.000035228222,0.0011444857],"genre_scores_gemma":[0.982914,0.000015446807,0.014105481,0.00031436462,0.0004172806,0.0000021281548,9.607002e-8,0.00002584628,0.002205411],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99835765,0.000112907575,0.0005929707,0.00012520274,0.00053311297,0.00027816466],"domain_scores_gemma":[0.9983292,0.0005519317,0.00050369004,0.00032159153,0.00013425316,0.00015928406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009722048,0.00019788239,0.00051007944,0.000013992492,0.0001812666,0.00010965852,0.00043794126,0.00018471731,0.00020956785],"category_scores_gemma":[0.0006604614,0.000112398506,0.00044670247,0.00011056241,0.000233571,0.00014162561,0.00013282528,0.00049732806,0.00000507817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013742454,0.00007001556,0.00020190454,0.00022744836,0.00015123129,8.11912e-7,0.0014569456,0.000007023299,0.00021198487,0.9722654,0.025162322,0.00023117359],"study_design_scores_gemma":[0.0005329098,0.00009344623,0.00035249125,0.000116458556,0.00016207137,0.00010950399,0.0005405653,0.00039118453,0.00069809717,0.99424684,0.002616881,0.00013956649],"about_ca_topic_score_codex":0.0000025517588,"about_ca_topic_score_gemma":2.644471e-7,"teacher_disagreement_score":0.022545442,"about_ca_system_score_codex":0.000049730716,"about_ca_system_score_gemma":0.000040141407,"threshold_uncertainty_score":0.4583478},"labels":[],"label_agreement":null},{"id":"W2963986793","doi":"10.24330/ieja.266213","title":"FRIEZES OF TYPE D","year":2015,"lang":"en","type":"article","venue":"International Electronic Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Sherbrooke","keywords":"Quiver; Cluster algebra; Type (biology); Relation (database); Cluster (spacecraft); Mathematics; Frieze; SL2(R); Combinatorics; Pure mathematics; Algebra over a field; Computer science; Physics; Geography; Geology","score_opus":0.03715522754015876,"score_gpt":0.317780466013048,"score_spread":0.2806252384728892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963986793","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99038684,0.0008845574,0.0019185315,0.0006507197,0.0020937803,0.0000475215,9.3434517e-7,0.000009833991,0.0040072803],"genre_scores_gemma":[0.9985426,0.000084280815,0.00066470314,0.000041764368,0.00043198586,4.3504681e-7,7.6597763e-7,0.00001350176,0.00021992752],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986814,0.000033278786,0.00046523008,0.000070714115,0.00056031055,0.00018902567],"domain_scores_gemma":[0.9983319,0.00012233546,0.00048522133,0.000109778484,0.0008764828,0.00007428098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045051545,0.00009191814,0.00022334691,0.000115972485,0.000012191027,0.00001472857,0.00042671428,0.000056540553,0.00009866545],"category_scores_gemma":[0.0006353462,0.00007319205,0.000112705166,0.00010915303,0.000034403103,0.00015528373,0.000042541786,0.00025226365,0.000004230014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018383432,0.000059296322,0.00020317205,0.000004126547,0.00022819043,0.000004316015,0.0002124614,0.000026665131,0.0001989522,0.9955217,0.0026570952,0.00070016144],"study_design_scores_gemma":[0.00078073516,0.0004577303,0.000059681723,0.00002593593,0.00003281627,0.00013527322,0.00011990363,0.00005715152,0.0021499519,0.9921326,0.0039801723,0.000068049725],"about_ca_topic_score_codex":0.0000066926027,"about_ca_topic_score_gemma":0.0000036415947,"teacher_disagreement_score":0.008155795,"about_ca_system_score_codex":0.00017336392,"about_ca_system_score_gemma":0.00056358165,"threshold_uncertainty_score":0.29846853},"labels":[],"label_agreement":null},{"id":"W2964047686","doi":"10.1090/tran/6751","title":"Algebraic supergroups and Harish-Chandra pairs over a commutative ring","year":2016,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Commutative ring; Pure mathematics; Algebraic number; Equivalence (formal languages); Ring (chemistry); Class (philosophy); Commutative property; Torsion (gastropod); Algebra over a field; Mathematical analysis; Computer science; Chemistry","score_opus":0.01905099975022242,"score_gpt":0.27444043618156844,"score_spread":0.25538943643134604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964047686","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8039252,0.000024336263,0.19437625,0.0009992776,0.00007592392,0.00023612955,0.000016334734,0.00006483997,0.000281705],"genre_scores_gemma":[0.9905888,0.000041377618,0.008970341,0.000098634766,0.000026373526,0.00002936362,1.2890334e-7,0.000029946605,0.00021507939],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987884,0.000091488415,0.00034515973,0.00020833616,0.0003127623,0.00025384044],"domain_scores_gemma":[0.99796236,0.0012331202,0.00021268862,0.0004504067,0.0000531634,0.0000882601],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022370259,0.00019597789,0.0004532202,0.000017898787,0.0002484456,0.000019946974,0.00028935913,0.00005974656,0.00023956083],"category_scores_gemma":[0.00010954866,0.00010493962,0.00039057207,0.00022950345,0.0010756422,0.00012001972,0.000050109375,0.00018149707,0.0000031513543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000070640446,0.00037626034,0.00042460955,0.00032180457,0.00075177633,6.085883e-7,0.0111720525,0.000008188851,0.0040098215,0.9749212,0.0006137359,0.007329292],"study_design_scores_gemma":[0.00059620227,0.00009578307,0.0008599826,0.00012903994,0.0001535382,0.000011038725,0.0015374148,0.00047053947,0.0017545517,0.99417955,0.000034617806,0.00017777196],"about_ca_topic_score_codex":0.00004655008,"about_ca_topic_score_gemma":0.000004173304,"teacher_disagreement_score":0.18666355,"about_ca_system_score_codex":0.000058003818,"about_ca_system_score_gemma":0.000026966403,"threshold_uncertainty_score":0.42793137},"labels":[],"label_agreement":null},{"id":"W2964108610","doi":"10.1016/j.jalgebra.2010.02.003","title":"Exceptional sequences and clusters","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":67,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Institute for Advanced Research","keywords":"Mathematics; Coxeter group; Weyl group; Cluster algebra; Coxeter element; Pure mathematics; Type (biology); Cluster (spacecraft); Element (criminal law); Inverse; Characterization (materials science); Coxeter complex; Longest element of a Coxeter group; Product (mathematics); Algebra over a field; Combinatorics; Artin group; Geometry","score_opus":0.019212487128692883,"score_gpt":0.2875226967402309,"score_spread":0.268310209611538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964108610","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9970261,0.00005906349,0.00033182852,0.00064512156,0.0013907108,0.000034700726,5.8564297e-7,0.000007329656,0.0005045571],"genre_scores_gemma":[0.993201,0.000015599015,0.0059176967,0.00010542485,0.0006769417,4.899864e-7,1.2253413e-7,0.000008431626,0.000074288764],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992732,0.00002002046,0.0002758825,0.000067861954,0.00025948317,0.000103596074],"domain_scores_gemma":[0.99929714,0.00016422648,0.00024550105,0.00008938223,0.00010929861,0.000094458715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027479883,0.000080364116,0.00016846613,0.000059993097,0.00005665007,0.00004121759,0.00014211252,0.00007345555,0.00022864365],"category_scores_gemma":[0.00017849893,0.000057420453,0.000071611954,0.000047953756,0.00007810216,0.00016666457,0.000032047483,0.0003099897,0.0000018531011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003628189,0.000029105411,0.00077299966,0.000018876404,0.000055308177,0.000015520545,0.00045459336,0.0000016393901,0.0025667225,0.9914629,0.0021828003,0.002403286],"study_design_scores_gemma":[0.00037923042,0.000087965615,0.0016019511,0.000015428563,0.000025418285,0.0003880231,0.00009362931,0.000025212232,0.00034716845,0.99621,0.00075461227,0.000071377384],"about_ca_topic_score_codex":0.0000022463212,"about_ca_topic_score_gemma":0.0000040217815,"teacher_disagreement_score":0.0055858684,"about_ca_system_score_codex":0.000009792368,"about_ca_system_score_gemma":0.00005780501,"threshold_uncertainty_score":0.25034875},"labels":[],"label_agreement":null},{"id":"W2964111887","doi":"10.1007/s11464-019-0767-7","title":"Non-leaving-face property for marked surfaces","year":2019,"lang":"en","type":"article","venue":"Frontiers of Mathematics in China","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Polytope; Face (sociological concept); Combinatorics; Property (philosophy); Shortest path problem; Path (computing); Surface (topology); Geometry; Computer science; Graph","score_opus":0.015689162174091865,"score_gpt":0.26212911015061285,"score_spread":0.246439947976521,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964111887","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97717243,0.00016189548,0.015207656,0.00013262441,0.0013679571,0.0015486788,0.000011811799,0.00004310539,0.0043538376],"genre_scores_gemma":[0.8613999,0.000015862524,0.13527681,0.000010810161,0.000043773158,0.000042549447,0.000003041055,0.0000546837,0.0031526024],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984576,0.00002472327,0.00059309934,0.00027976168,0.0003222249,0.00032257286],"domain_scores_gemma":[0.99872565,0.0002327191,0.00034548246,0.0005726059,0.000070266644,0.00005329966],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006139407,0.00024448236,0.000696147,0.000105539184,0.00004131523,0.000024991086,0.00048817022,0.00016534711,0.00004446623],"category_scores_gemma":[0.00033327367,0.00016930113,0.0001638208,0.00014918335,0.000056696274,0.00011713657,0.00010190257,0.00017081374,0.0000057027164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000515251,0.0020620937,0.026350584,0.009713053,0.0006088454,0.000005709775,0.023596097,0.0009184549,0.0014361092,0.81823385,0.114432745,0.002127208],"study_design_scores_gemma":[0.00137495,0.00014607554,0.000630064,0.00021816691,0.00004119867,0.0000021606286,0.0012215242,0.024396831,0.0013607587,0.96994674,0.00037961,0.0002819304],"about_ca_topic_score_codex":0.000021050097,"about_ca_topic_score_gemma":0.000005335479,"teacher_disagreement_score":0.15171288,"about_ca_system_score_codex":0.00006568545,"about_ca_system_score_gemma":0.000055905126,"threshold_uncertainty_score":0.69039},"labels":[],"label_agreement":null},{"id":"W2964148796","doi":"10.1093/imrn/rnw037","title":"On Regularised Quantum Dimensions of the Singlet Vertex Operator Algebra and False Theta Functions","year":2014,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Vertex operator algebra; Operator algebra; Pure mathematics; Vertex (graph theory); Tensor product; Operator (biology); Algebra over a field; Discrete mathematics; Current algebra; Jordan algebra","score_opus":0.04356219709425673,"score_gpt":0.18363273560595017,"score_spread":0.14007053851169343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964148796","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9964127,0.000010193605,0.0019056665,0.00014008334,0.0004177948,0.00015956693,0.0000049675846,0.000038892184,0.0009101631],"genre_scores_gemma":[0.99869674,0.000005749054,0.000023353887,0.00007822322,0.000022006263,3.5442872e-7,8.722457e-7,0.000015677766,0.0011569934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992309,0.00012849922,0.00012825096,0.00027702906,0.00007896326,0.00015636362],"domain_scores_gemma":[0.99880755,0.00034809805,0.000101965365,0.00059484044,0.000071474555,0.000076095195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012381045,0.00014062898,0.00019792872,0.00005166448,0.00026232644,0.000016152828,0.000236907,0.0000944219,0.000038962724],"category_scores_gemma":[0.00020795142,0.00009390819,0.00010287864,0.00024310123,0.0001436941,0.00007341947,0.00014352503,0.00014461645,0.000006166198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039287508,0.00006260082,0.00032910556,0.0000093250355,0.00003852758,0.0000014785778,0.00008596808,0.00040747883,0.00030985047,0.99818933,0.00048488862,0.0000421796],"study_design_scores_gemma":[0.0007387022,0.00011897945,0.0005402151,0.00003648598,0.00010687182,0.0000018116372,0.00012957377,0.010043448,0.00040192524,0.9873925,0.00035378803,0.00013570265],"about_ca_topic_score_codex":0.000019200297,"about_ca_topic_score_gemma":0.000011785277,"teacher_disagreement_score":0.010796813,"about_ca_system_score_codex":0.00002911349,"about_ca_system_score_gemma":0.000030743337,"threshold_uncertainty_score":0.3829465},"labels":[],"label_agreement":null},{"id":"W2964156790","doi":"10.1016/j.jalgebra.2015.12.031","title":"Triviality theorems for Yetter–Drinfel'd Hopf algebras","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Hopf algebra; Mathematics; Pure mathematics; Triviality; Quasitriangular Hopf algebra; Subalgebra; Quantum group; Representation theory of Hopf algebras; Abelian group; Algebra over a field; Division algebra","score_opus":0.040841930036719654,"score_gpt":0.31479796858000586,"score_spread":0.2739560385432862,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964156790","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95612925,0.00013158962,0.03691581,0.003519078,0.0024694146,0.0002981096,0.000011100085,0.00003911903,0.00048652536],"genre_scores_gemma":[0.9936373,0.000034288318,0.0037905604,0.00030784338,0.0017996256,0.000008990343,4.037378e-7,0.000047287336,0.0003736514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979987,0.00009989643,0.00086539576,0.00019284697,0.0004761213,0.0003670347],"domain_scores_gemma":[0.9970677,0.0012118199,0.0007858144,0.00037923784,0.00036911556,0.00018630324],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009857864,0.00023586175,0.00057020434,0.00012620761,0.00011752412,0.00005513686,0.0005006055,0.00016054143,0.00025522758],"category_scores_gemma":[0.0011474664,0.00013300755,0.00049099367,0.000116094336,0.000098993696,0.00030800354,0.00006809643,0.00017924095,0.000009872303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026995558,0.000091418035,0.00029681425,0.000037273767,0.00018431332,0.000009469355,0.00022312946,3.4015494e-7,0.0018862534,0.97349,0.0140685495,0.0094424635],"study_design_scores_gemma":[0.0025660396,0.0003702323,0.00044768493,0.00010707643,0.00010726051,0.000082008024,0.000038677943,0.0000037191528,0.0063138097,0.9825465,0.0072115287,0.00020544825],"about_ca_topic_score_codex":0.000002562634,"about_ca_topic_score_gemma":0.0000020328716,"teacher_disagreement_score":0.037508097,"about_ca_system_score_codex":0.00010019185,"about_ca_system_score_gemma":0.00013010754,"threshold_uncertainty_score":0.54238904},"labels":[],"label_agreement":null},{"id":"W2964172349","doi":"10.1017/s001708951600032x","title":"DISTRIBUTIVE LATTICES OF TILTING MODULES AND SUPPORT τ-TILTING MODULES OVER PATH ALGEBRAS","year":2016,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Partially ordered set; Quiver; Mathematics; Distributive property; Distributive lattice; Lattice (music); Combinatorics; Pure mathematics; Discrete mathematics; Physics","score_opus":0.02473188621469564,"score_gpt":0.2848921744219204,"score_spread":0.26016028820722475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964172349","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95488274,0.00009871715,0.043264396,0.00024480905,0.0002530492,0.00018256552,0.00003863347,0.0000542352,0.0009808346],"genre_scores_gemma":[0.98353654,0.00004520371,0.015850786,0.000027311096,0.00031950124,0.0000068354047,0.0000014235402,0.000045708,0.00016671569],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739975,0.00011910406,0.0009717387,0.0003018709,0.00067803724,0.0005294812],"domain_scores_gemma":[0.99707,0.0014256239,0.0006817284,0.00032962544,0.00021183894,0.0002811869],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084311754,0.00032817936,0.00069703866,0.000089298155,0.00022021061,0.000111616006,0.00033329692,0.00017824724,0.0006634211],"category_scores_gemma":[0.001616526,0.00019595589,0.00019183964,0.0001056275,0.00025394224,0.0003484292,0.00023651865,0.00030204564,0.000015187153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051171668,0.00014187866,0.0012062517,0.00026776595,0.00017102752,0.000029268374,0.0007281217,8.1469335e-7,0.0017519889,0.9848029,0.00041648967,0.010432314],"study_design_scores_gemma":[0.0010644299,0.00013587979,0.0015926062,0.00055907713,0.00012626922,0.00031361703,0.00027065485,0.00049766136,0.002133521,0.99296093,0.00007347908,0.0002718644],"about_ca_topic_score_codex":0.0000022855731,"about_ca_topic_score_gemma":0.0000010282548,"teacher_disagreement_score":0.028653758,"about_ca_system_score_codex":0.00006741593,"about_ca_system_score_gemma":0.000053697197,"threshold_uncertainty_score":0.7990849},"labels":[],"label_agreement":null},{"id":"W2964182271","doi":"10.1093/imrn/rnn160","title":"The Projective McKay Correspondence","year":2009,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"University of Toronto","funders":"","keywords":"George (robot); Library science; Mathematics; Art history; History; Computer science","score_opus":0.16937930491582262,"score_gpt":0.4811002614454352,"score_spread":0.3117209565296126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964182271","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7889399,0.00040895495,0.0059434804,0.01429461,0.003992044,0.0020791176,0.000017112805,0.0003318135,0.18399297],"genre_scores_gemma":[0.99020463,0.00004040375,0.0037328815,0.000064131185,0.00040705368,0.000050617222,0.0000013663825,0.000018988318,0.005479906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996856,0.00017098802,0.000396442,0.00027218208,0.001854551,0.00044984708],"domain_scores_gemma":[0.99377304,0.004659545,0.00016576349,0.00047943756,0.00083099166,0.0000912317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002167353,0.00015896057,0.00017469177,0.00016003,0.0005372295,0.00045988293,0.001397582,0.000084787105,0.00013370291],"category_scores_gemma":[0.005292746,0.0000993618,0.00009247438,0.0002872673,0.00021814753,0.00023489722,0.00018343133,0.0004945934,0.000104227984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005736559,0.00013514858,0.000014693648,0.000013732627,0.000047642796,0.000008053856,0.0012089817,0.000008211218,0.00013353377,0.9922461,0.0036560905,0.0024704745],"study_design_scores_gemma":[0.00022146264,0.00012469054,0.00017760623,0.000072098584,0.000007668642,0.00001017558,0.0009772392,0.0035968875,0.0007807422,0.99005526,0.0038572003,0.00011898584],"about_ca_topic_score_codex":0.000013751671,"about_ca_topic_score_gemma":0.000016006345,"teacher_disagreement_score":0.20126475,"about_ca_system_score_codex":0.00015403047,"about_ca_system_score_gemma":0.00012428904,"threshold_uncertainty_score":0.6336293},"labels":[],"label_agreement":null},{"id":"W2964183981","doi":"10.1093/imrn/rnz127","title":"Bott–Samelson Varieties and Poisson Ore Extensions","year":2019,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"University of Hong Kong","keywords":"Mathematics; Poisson distribution; Iterated function; Extension (predicate logic); Pure mathematics; Polynomial; Lie algebra; Affine variety; Poisson algebra; Poisson manifold; Simple (philosophy); Algebra over a field; Combinatorics; Poisson bracket; Mathematical analysis; Computer science","score_opus":0.12014993871112271,"score_gpt":0.4233259316515349,"score_spread":0.3031759929404122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964183981","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97392017,0.00013791615,0.0004579175,0.001761625,0.00094856665,0.0004677917,0.000009793275,0.000079988284,0.022216247],"genre_scores_gemma":[0.9857788,0.000054918815,0.009261159,0.000048407044,0.00021972871,0.000029357363,0.000004821238,0.00003951072,0.0045632706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739283,0.000098014796,0.00037530874,0.00034930647,0.0014029838,0.0003815701],"domain_scores_gemma":[0.9964711,0.0022473477,0.00013869797,0.00043246147,0.0005810829,0.00012931744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010773913,0.00018558599,0.00028901617,0.0002485908,0.00016812743,0.000290389,0.0005770405,0.00013421249,0.00086662103],"category_scores_gemma":[0.0016041192,0.00014873176,0.000073275776,0.00016893711,0.00015988683,0.00027826906,0.00044260238,0.0004393219,0.00016391581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025220157,0.00012409204,0.00035818698,0.0001708388,0.00008542233,0.000006606142,0.0015493407,0.000011601646,0.00041876867,0.9956713,0.0012200222,0.00035864217],"study_design_scores_gemma":[0.00039622912,0.00009748967,0.00043364862,0.00014849583,0.000015188605,0.000015523461,0.0014956695,0.007383797,0.0004360993,0.9872163,0.0021898542,0.00017170912],"about_ca_topic_score_codex":0.000052056523,"about_ca_topic_score_gemma":0.000013277706,"teacher_disagreement_score":0.017652977,"about_ca_system_score_codex":0.00007867091,"about_ca_system_score_gemma":0.00006279651,"threshold_uncertainty_score":0.94888926},"labels":[],"label_agreement":null},{"id":"W2964185755","doi":"10.1016/j.jalgebra.2009.06.004","title":"Universal central extensions of twisted forms of split simple Lie algebras over rings","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Descent (aeronautics); Lie algebra; Simple (philosophy); Pure mathematics; Torus; Extension (predicate logic); Ring (chemistry); Simple Lie group; Algebra over a field; Fundamental representation; Geometry; Computer science; Weight","score_opus":0.018752629294530403,"score_gpt":0.27975561476303235,"score_spread":0.2610029854685019,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964185755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9979093,0.00016159148,0.00064166635,0.00017760615,0.00037686905,0.000119791934,0.0000071294226,0.000014348525,0.0005917115],"genre_scores_gemma":[0.9973176,0.000039070404,0.0022770523,0.000092194634,0.00019537343,1.986158e-7,0.0000014440867,0.000021042166,0.00005603842],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99792767,0.00004115735,0.000968004,0.00013733306,0.0005925313,0.00033333097],"domain_scores_gemma":[0.9977412,0.00021061089,0.0011673833,0.0003169408,0.00037306058,0.00019080797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002447683,0.0002051142,0.00067252683,0.0001841062,0.00005308722,0.000016986884,0.0003786564,0.00014872558,0.0002536325],"category_scores_gemma":[0.00027372484,0.00015816253,0.00040762682,0.0002552589,0.000084098014,0.00028684424,0.000061087965,0.0003022937,9.618218e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025830657,0.00024001325,0.0006766588,0.000056740675,0.00016212057,0.00003253231,0.00075469515,0.000022809034,0.0038491723,0.990764,0.0019110427,0.0012718631],"study_design_scores_gemma":[0.0016392253,0.00068588794,0.024684628,0.00014476689,0.0001701911,0.00007650676,0.00027474455,0.00007308068,0.006543205,0.9652656,0.0002787884,0.00016341991],"about_ca_topic_score_codex":0.000014500101,"about_ca_topic_score_gemma":0.0000026803764,"teacher_disagreement_score":0.02549849,"about_ca_system_score_codex":0.000081460086,"about_ca_system_score_gemma":0.00016299581,"threshold_uncertainty_score":0.64496803},"labels":[],"label_agreement":null},{"id":"W2964190308","doi":"10.1017/s1446788710001436","title":"HARISH-CHANDRA MODULES OVER THE ℚ HEISENBERG–VIRASORO ALGEBRA","year":2010,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Virasoro algebra; Algebra over a field; Series (stratigraphy); Pure mathematics; Cellular algebra; Algebra representation","score_opus":0.028319174147610274,"score_gpt":0.2947152605213951,"score_spread":0.2663960863737848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964190308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98955643,0.000026426433,0.0010075761,0.006827928,0.0017944295,0.0002711877,0.000004887059,0.000027299093,0.00048385683],"genre_scores_gemma":[0.9880693,0.000011512495,0.0082640415,0.00037356213,0.0010680433,0.0000056907716,1.9079077e-7,0.00004325111,0.0021643983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99761367,0.0001036766,0.0008162099,0.00016663238,0.0008954038,0.00040438573],"domain_scores_gemma":[0.9974151,0.0007320178,0.0007283431,0.00077175186,0.00017697648,0.00017576458],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011019927,0.0002843948,0.00049713155,0.000017073247,0.00040416425,0.00018622394,0.0012803609,0.0002864893,0.0009260187],"category_scores_gemma":[0.0007442155,0.00013149054,0.0011706154,0.00020060755,0.00040681098,0.0002062527,0.00023408771,0.0014814312,0.000016938053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018131333,0.00016756743,0.00016581954,0.000100607576,0.0003324608,0.000003506257,0.0019064721,0.000011480564,0.0017140243,0.92274314,0.07261793,0.00021884356],"study_design_scores_gemma":[0.0005480901,0.000042885997,0.0016093262,0.000080558835,0.00021659798,0.00017550935,0.00045046455,0.00024308694,0.001411637,0.99172586,0.0033187207,0.00017728198],"about_ca_topic_score_codex":0.000005237345,"about_ca_topic_score_gemma":0.0000029305647,"teacher_disagreement_score":0.06929921,"about_ca_system_score_codex":0.000055740726,"about_ca_system_score_gemma":0.000071992734,"threshold_uncertainty_score":0.99998724},"labels":[],"label_agreement":null},{"id":"W2964217007","doi":"10.1016/j.jpaa.2014.09.007","title":"Connected Hopf algebras and iterated Ore extensions","year":2014,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Engineering and Physical Sciences Research Council; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Hopf algebra; Mathematics; Quasitriangular Hopf algebra; Quantum group; Noetherian; Universal enveloping algebra; Pure mathematics; Representation theory of Hopf algebras; Unipotent; Iterated function; Algebra over a field; Extension (predicate logic); Non-associative algebra; Algebra representation; Division algebra; Mathematical analysis","score_opus":0.01589141987615684,"score_gpt":0.2504823329100456,"score_spread":0.2345909130338888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964217007","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99695724,0.00032196086,0.0010095439,0.00045216497,0.0002853807,0.00013197781,0.0000018045272,0.000028478215,0.00081144535],"genre_scores_gemma":[0.99716705,0.000060080805,0.0018277603,0.00040102378,0.0004575785,0.000002857602,0.0000015234168,0.000027962653,0.000054162072],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987935,0.00005131207,0.00048202608,0.00018732887,0.0002618731,0.00022397007],"domain_scores_gemma":[0.99872637,0.00034906832,0.00037016507,0.00017741251,0.00016410685,0.00021286088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000330618,0.0002147074,0.000496044,0.00010711857,0.00017901076,0.00009836332,0.00013773722,0.00015622772,0.0000662734],"category_scores_gemma":[0.00019334521,0.00015388969,0.00007296814,0.000148516,0.00008008128,0.00010362442,0.00007331121,0.00033255294,0.0000020640941],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007642377,0.000042468106,0.00009384561,0.000040107097,0.00008946006,0.000008757363,0.00052710087,0.0000017268917,0.0028710156,0.98940593,0.002544068,0.00429907],"study_design_scores_gemma":[0.0015003633,0.00018182577,0.0011307744,0.00006493869,0.00012919541,0.00022362056,0.000264363,0.00008552291,0.0012059062,0.9936225,0.0013862489,0.0002047743],"about_ca_topic_score_codex":0.0000011958651,"about_ca_topic_score_gemma":0.000002207931,"teacher_disagreement_score":0.0042165103,"about_ca_system_score_codex":0.000011598393,"about_ca_system_score_gemma":0.00003328486,"threshold_uncertainty_score":0.627544},"labels":[],"label_agreement":null},{"id":"W2964235292","doi":"10.1017/s0308210509000912","title":"Supports of weight modules over Witt algebras","year":2011,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Vetenskapsrådet; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Wilfrid Laurier University; National Science Foundation","keywords":"Subalgebra; Witt algebra; Abelian group; Mathematics; Simple (philosophy); Pure mathematics; Lie algebra; Simple module; BETA (programming language); Witt vector; Space (punctuation); Combinatorics; Algebra over a field; Discrete mathematics; Weight; Computer science; Adjoint representation of a Lie algebra","score_opus":0.02320513097761209,"score_gpt":0.24100397880339405,"score_spread":0.21779884782578196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964235292","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9909616,0.000044299915,0.0010907962,0.000039124476,0.00078534643,0.00039941588,0.000006209755,0.000054141205,0.0066190334],"genre_scores_gemma":[0.9745712,0.000020340402,0.024088915,0.000018722434,0.00022125982,0.000015869306,4.1019345e-7,0.000037648246,0.0010256212],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793416,0.000005241464,0.0008795692,0.0002307122,0.0006952099,0.00025512546],"domain_scores_gemma":[0.9976136,0.0001185125,0.0014088298,0.00025933783,0.00053047726,0.00006921922],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005156645,0.00026391356,0.0006114854,0.000047046426,0.00010330551,0.0000113643055,0.0005040803,0.00025176644,0.0006576319],"category_scores_gemma":[0.00022217426,0.00018740506,0.0006452723,0.00030293246,0.00028433706,0.00013932477,0.00023578218,0.00023332934,2.0729412e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014732864,0.0020357897,0.011759085,0.004781647,0.0013424354,2.1949414e-7,0.06516162,0.000018461102,0.013903131,0.779846,0.12071911,0.0002851702],"study_design_scores_gemma":[0.00047882012,0.00012785876,0.000716144,0.0003079228,0.0002273649,0.000005090162,0.002097598,0.002231688,0.09534669,0.8981882,0.00007876922,0.00019389109],"about_ca_topic_score_codex":0.000050866547,"about_ca_topic_score_gemma":6.094943e-7,"teacher_disagreement_score":0.120640345,"about_ca_system_score_codex":0.000046814457,"about_ca_system_score_gemma":0.00003788672,"threshold_uncertainty_score":0.76421565},"labels":[],"label_agreement":null},{"id":"W2964236468","doi":"10.1016/j.jalgebra.2014.11.031","title":"Finite-dimensional subalgebras of the Virasoro algebra","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation","keywords":"Virasoro algebra; Mathematics; Algebra over a field; Pure mathematics; N = 2 superconformal algebra; Algebra representation; Cellular algebra","score_opus":0.04425570616113279,"score_gpt":0.2836482590229439,"score_spread":0.2393925528618111,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964236468","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99429333,0.0005377307,0.0004287053,0.0008773997,0.002805109,0.00016329078,0.0000046461296,0.000018164803,0.00087162445],"genre_scores_gemma":[0.9967743,0.000008578384,0.002050363,0.0002993516,0.0005932577,0.0000017992539,5.2679025e-7,0.000039757666,0.00023206543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99697423,0.00020500533,0.0010782992,0.00016829415,0.0012711843,0.0003029787],"domain_scores_gemma":[0.99645346,0.00073598756,0.0012724726,0.0005239372,0.0007584391,0.00025567587],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009722091,0.00025669354,0.000614918,0.00013623906,0.0000910016,0.000036465965,0.00083516137,0.00018183749,0.00017762116],"category_scores_gemma":[0.0019496508,0.00015720796,0.00046800112,0.0003753776,0.0001713146,0.00024820073,0.00022205079,0.0005053806,0.00001004008],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030792307,0.00029558927,0.002284553,0.0000575102,0.0003131415,0.000029980405,0.0011362381,0.00025991478,0.00081328966,0.97060645,0.023206022,0.0006893923],"study_design_scores_gemma":[0.0015906239,0.0003282288,0.0013002763,0.000117693715,0.00014530393,0.00017446314,0.00019512561,0.00010159164,0.006571086,0.9882046,0.0010849988,0.00018600721],"about_ca_topic_score_codex":0.000012805483,"about_ca_topic_score_gemma":0.0000036548236,"teacher_disagreement_score":0.022121022,"about_ca_system_score_codex":0.00010001238,"about_ca_system_score_gemma":0.0005081835,"threshold_uncertainty_score":0.6410755},"labels":[],"label_agreement":null},{"id":"W2964243608","doi":"10.1090/tran/7733","title":"𝔬𝔰𝔭(1,2) and generalized Bannai–Ito algebras","year":2018,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; German; Computer science; Mathematics; Philosophy; Linguistics","score_opus":0.01946693209458018,"score_gpt":0.28044829229854595,"score_spread":0.2609813602039658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964243608","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87968373,0.00021215451,0.11550614,0.0021816595,0.00076705456,0.0006964783,0.00005109451,0.00009521719,0.00080647116],"genre_scores_gemma":[0.96151066,0.00019070249,0.036193356,0.00050480984,0.00038213603,0.000030908068,7.0809807e-7,0.00008045804,0.0011062626],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997243,0.0002175734,0.0008464447,0.0004739928,0.0006604516,0.00055853545],"domain_scores_gemma":[0.99720216,0.00059321633,0.0006431717,0.0011070764,0.00022639577,0.0002280101],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00041405394,0.00046744786,0.0010482374,0.000033504926,0.00063095585,0.00007928992,0.00068305066,0.00015849363,0.0009500155],"category_scores_gemma":[0.00012431119,0.0003287101,0.0009763505,0.0006698575,0.0036942416,0.00012049212,0.00010125668,0.00048807752,0.0000371804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027842514,0.0013943625,0.00018388851,0.0016551473,0.0027850908,0.0000012245945,0.02440839,0.000032206357,0.0035247642,0.9483213,0.0057071494,0.011708071],"study_design_scores_gemma":[0.00090493134,0.00036396648,0.00038618353,0.00021301281,0.00089778844,0.000029673543,0.0019578415,0.0045572687,0.0040109963,0.9857483,0.0004825449,0.0004474745],"about_ca_topic_score_codex":0.0002171395,"about_ca_topic_score_gemma":0.000010988112,"teacher_disagreement_score":0.08182693,"about_ca_system_score_codex":0.00008991128,"about_ca_system_score_gemma":0.00012049024,"threshold_uncertainty_score":0.9999632},"labels":[],"label_agreement":null},{"id":"W2964247016","doi":"10.1016/j.jalgebra.2016.09.003","title":"Weighted projective lines of tubular type and equivariantization","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Natural Science Foundation of Fujian Province; National Natural Science Foundation of China; Canadian Institute for Advanced Research","keywords":"Mathematics; Projective test; Type (biology); Pure mathematics; Combinatorics; Geology","score_opus":0.026371080171770287,"score_gpt":0.2915721483669288,"score_spread":0.2652010681951585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964247016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9937993,0.00023223464,0.0047210166,0.0004036712,0.000574729,0.00008210265,0.0000011989841,0.000007151487,0.00017854483],"genre_scores_gemma":[0.99562395,0.00006863989,0.0039254827,0.000013575514,0.00028108072,3.652815e-7,1.4769907e-7,0.000012293178,0.00007448624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992077,0.00004477361,0.00036989825,0.00007318613,0.00021639752,0.0000880936],"domain_scores_gemma":[0.9985632,0.00024426592,0.00044529897,0.00010782812,0.0005946729,0.00004474222],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022647108,0.00008264159,0.00024268834,0.000088896784,0.000024396635,0.000010601756,0.00008336599,0.00007089162,0.00007188558],"category_scores_gemma":[0.00071089383,0.000045937602,0.00004720293,0.0001323228,0.000042027696,0.00015303948,0.000034118635,0.000062498155,7.081041e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001460794,0.00005397622,0.0005951934,0.000043323573,0.0001416272,0.000027727825,0.0003937486,2.886125e-7,0.015139322,0.9811091,0.0007348505,0.0016147861],"study_design_scores_gemma":[0.0007678461,0.00028905369,0.000778019,0.00013409616,0.00006255546,0.00018505382,0.000026753372,0.000014617542,0.013364947,0.9841515,0.00015917813,0.00006637901],"about_ca_topic_score_codex":0.0000018311456,"about_ca_topic_score_gemma":4.5332732e-7,"teacher_disagreement_score":0.0030424236,"about_ca_system_score_codex":0.00001880494,"about_ca_system_score_gemma":0.00008326816,"threshold_uncertainty_score":0.1873281},"labels":[],"label_agreement":null},{"id":"W2964303108","doi":"10.1093/imrn/rnw156","title":"Path Algebras of Quivers and Representations of Locally Finite Lie Algebras","year":2016,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; University of Edinburgh","keywords":"Annihilator; Noncommutative geometry; Mathematics; Quiver; Lie algebra; Simple (philosophy); Diagonal; Pure mathematics; Zero (linguistics); Path (computing); Space (punctuation); Algebraic number; Representation theory; Combinatorics; Algebra over a field; Geometry; Mathematical analysis","score_opus":0.09295972737732676,"score_gpt":0.3984027371762272,"score_spread":0.30544300979890043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964303108","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98144376,0.000092965915,0.00911564,0.0010517995,0.00032951793,0.00038673333,0.00006273713,0.000032716962,0.0074841534],"genre_scores_gemma":[0.9860984,0.00009419429,0.012939479,0.000010214352,0.00008779536,0.000023140343,0.0000025585132,0.000026267659,0.00071792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973219,0.0001232381,0.0006675692,0.0002774053,0.0013431592,0.00026671667],"domain_scores_gemma":[0.9924637,0.0056914673,0.0003768109,0.0004238869,0.0009378062,0.000106328356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010101984,0.00015259856,0.00032794772,0.00032625388,0.00007636671,0.000044188768,0.00062627724,0.00010117863,0.00039295515],"category_scores_gemma":[0.004711071,0.00010529442,0.00009848253,0.00021298384,0.0005107927,0.00025898265,0.00035790764,0.00015638597,0.000013289837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039968916,0.00020483957,0.00092864997,0.00030575815,0.00018517236,0.0000038969592,0.0012986228,0.0000073767833,0.0026349444,0.99292827,0.0004310993,0.0010314205],"study_design_scores_gemma":[0.0007007165,0.00012814594,0.0007384778,0.00049213134,0.000026886182,0.0000032795765,0.00078417803,0.0008897016,0.0068323887,0.98918015,0.00010475334,0.00011918564],"about_ca_topic_score_codex":0.000051948376,"about_ca_topic_score_gemma":0.000017587847,"teacher_disagreement_score":0.0067662336,"about_ca_system_score_codex":0.00005290356,"about_ca_system_score_gemma":0.00010975174,"threshold_uncertainty_score":0.5639932},"labels":[],"label_agreement":null},{"id":"W2964334405","doi":"10.1007/s10468-014-9510-y","title":"Noncommutative (Crepant) Desingularizations and the Global Spectrum of Commutative Rings","year":2014,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick; University of Toronto; The Scarborough Hospital","funders":"","keywords":"Mathematics; Noncommutative geometry; Pure mathematics; Endomorphism; Noncommutative ring; Gravitational singularity; Commutative property; Global dimension; Dimension (graph theory); Spectrum (functional analysis); Ring (chemistry); Local ring; Endomorphism ring; Commutative ring; Noncommutative algebraic geometry; Variety (cybernetics); Von Neumann regular ring; Noncommutative quantum field theory; Mathematical analysis","score_opus":0.015169769352828303,"score_gpt":0.29804157726108216,"score_spread":0.28287180790825384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964334405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92703223,0.00022916899,0.06541837,0.0006414662,0.00014607153,0.00036476715,0.000006308892,0.000038526454,0.0061230822],"genre_scores_gemma":[0.9982754,0.00003834298,0.0014202532,0.00011413388,0.000049381557,0.000014086963,0.0000039618653,0.000011513593,0.000072926516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986459,0.0005946774,0.00028259566,0.00018589126,0.00016632308,0.00012459977],"domain_scores_gemma":[0.9972391,0.002143838,0.00023715553,0.00025809824,0.00007291212,0.000048865902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006355726,0.00012920053,0.0002737819,0.000031385563,0.00025375167,0.000045384426,0.00012741933,0.000056868634,0.000026189186],"category_scores_gemma":[0.00060691586,0.00008348863,0.000058052476,0.00016247957,0.00074111903,0.00010226853,0.00012772203,0.00009932494,7.3137556e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013770307,0.000018866549,0.0020363883,0.00001912713,0.000092804716,3.0533005e-7,0.004883106,0.000009166715,0.000012659014,0.99159545,0.000016953263,0.0011774518],"study_design_scores_gemma":[0.0015045663,0.00005152139,0.0053306613,0.00002274213,0.00010390613,0.000014911293,0.0020546939,0.0007298489,0.0008513334,0.9892286,0.000011592021,0.00009563735],"about_ca_topic_score_codex":0.00015373842,"about_ca_topic_score_gemma":0.000019535031,"teacher_disagreement_score":0.07124316,"about_ca_system_score_codex":0.000014406595,"about_ca_system_score_gemma":0.000018037603,"threshold_uncertainty_score":0.34045675},"labels":[],"label_agreement":null},{"id":"W2964786228","doi":"10.1007/s11856-019-1909-z","title":"Representations of Lie algebras of vector fields on affine varieties","year":2019,"lang":"pt","type":"article","venue":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Pure mathematics; Lie algebra; Algebra over a field; Affine Lie algebra; Polynomial ring; Algebraically closed field; Polynomial; Current algebra","score_opus":0.024385686228217497,"score_gpt":0.2650509880372539,"score_spread":0.24066530180903642,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964786228","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8870879,0.00058482407,0.0031010746,0.009218388,0.005790358,0.0017568895,0.00019204135,0.00023788877,0.09203067],"genre_scores_gemma":[0.9962824,0.00008607397,0.0011778814,0.00008802143,0.000519049,0.00007504847,0.00007465754,0.00008183061,0.0016150244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9953629,0.00042199373,0.0014685285,0.00080980005,0.0012917678,0.00064505416],"domain_scores_gemma":[0.9952277,0.0011265591,0.0011852761,0.001362353,0.00078487635,0.00031324255],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00052268285,0.0006038493,0.001102426,0.00048112145,0.00027867718,0.00009953151,0.00087725214,0.00090285676,0.0005020306],"category_scores_gemma":[0.0010844262,0.0005811613,0.0005295076,0.00077682565,0.000047224716,0.0002937896,0.00034800326,0.0008153022,0.000021888944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00053601875,0.00096864975,0.00045451868,0.00068805035,0.00047040236,0.000020182266,0.0034364357,0.00032232984,0.0018124654,0.9899223,0.0011319686,0.00023667357],"study_design_scores_gemma":[0.012906283,0.0034847222,0.02019651,0.0031997245,0.0016646937,0.0007266087,0.0056776437,0.0031526866,0.05490921,0.42228815,0.4681872,0.0036065634],"about_ca_topic_score_codex":0.0000055669943,"about_ca_topic_score_gemma":0.000047399375,"teacher_disagreement_score":0.56763417,"about_ca_system_score_codex":0.00030945096,"about_ca_system_score_gemma":0.0007170787,"threshold_uncertainty_score":0.999664},"labels":[],"label_agreement":null},{"id":"W2965279808","doi":"10.1103/physrevd.101.065013","title":"Algebraic classical and quantum field theory on causal sets","year":2020,"lang":"en","type":"article","venue":"Physical review. D/Physical review. D.","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Institut Périmètre de physique théorique; University of York","keywords":"Quantization (signal processing); Observable; Quantum field theory; Mathematics; Algebra over a field; Algebraic structure; Causal structure; Field (mathematics); Algebraic number; Class (philosophy); Quantum; Cauchy distribution; Set (abstract data type); Pure mathematics; Theoretical physics; Computer science; Quantum mechanics; Physics; Mathematical analysis; Algorithm; Mathematical physics; Artificial intelligence","score_opus":0.03564559136438075,"score_gpt":0.4282732398134514,"score_spread":0.3926276484490706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2965279808","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9160872,0.040948514,0.00028858968,0.033482622,0.0005146422,0.0028759874,0.000036063735,0.00041734328,0.005349026],"genre_scores_gemma":[0.93046844,0.031535566,0.00012960396,0.03599445,0.0015378941,0.00018022615,0.000014820336,0.00010714718,0.000031827512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959255,0.0006448193,0.0007810503,0.0010340945,0.00094670523,0.0006678236],"domain_scores_gemma":[0.9950972,0.002679329,0.00036488118,0.00086103193,0.00012086891,0.00087667187],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00041216967,0.000749074,0.0021893105,0.000027809041,0.00016431937,0.00005717928,0.0006312914,0.00010305402,0.00011297726],"category_scores_gemma":[0.0054888474,0.00053869025,0.0008200098,0.0005049094,0.00017928325,0.00018029995,0.00035702114,0.0010860118,0.0003483095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000600563,0.0003346263,0.000030773772,0.005315961,0.000091277216,0.000016678736,0.00011425791,2.4033835e-7,0.00047401694,0.9559664,0.022728343,0.014867374],"study_design_scores_gemma":[0.00042015576,0.0008462993,0.0000942468,0.004949243,0.00060849794,0.00000689885,0.000007550768,0.00092554826,0.00093822594,0.97463,0.015940856,0.000632459],"about_ca_topic_score_codex":0.0000032218104,"about_ca_topic_score_gemma":4.066258e-7,"teacher_disagreement_score":0.018663622,"about_ca_system_score_codex":0.000049322953,"about_ca_system_score_gemma":0.0000938203,"threshold_uncertainty_score":0.99970645},"labels":[],"label_agreement":null},{"id":"W2966316103","doi":"10.1007/s00029-020-00602-5","title":"Heisenberg and Kac–Moody categorification","year":2020,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Ottawa","funders":"","keywords":"Categorification; Isomorphism (crystallography); Quiver; Quotient; Affine transformation; Algebra over a field; Type (biology)","score_opus":0.057454248606588196,"score_gpt":0.28387671449172697,"score_spread":0.22642246588513876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2966316103","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9542376,0.00036742608,0.018331232,0.0067927595,0.0002842331,0.0010148401,0.000005823902,0.0006457316,0.018320402],"genre_scores_gemma":[0.9931694,0.000017056247,0.0061413567,0.00025175742,0.00019117763,0.000026855136,0.0000028726024,0.00003944947,0.00016006861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888396,0.000041260562,0.00030596118,0.00029712234,0.00023474453,0.00023692571],"domain_scores_gemma":[0.99917364,0.00021175681,0.000118506854,0.00026400536,0.000063927495,0.00016814505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011813113,0.00018675262,0.0002999957,0.00002798175,0.00010464678,0.00006471019,0.00018879017,0.00009408826,0.00017174322],"category_scores_gemma":[0.000443993,0.00015755706,0.00005365152,0.00020792575,0.0000445327,0.00010014865,0.00006413017,0.00015245276,0.000052608622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012963348,0.00003198786,0.000024293187,0.0001877576,0.000035380377,0.0000016009935,0.0020901207,3.340491e-7,0.0007525176,0.99407655,0.0023499257,0.00043658377],"study_design_scores_gemma":[0.00030687093,0.00008195182,0.000035873298,0.000016500931,0.00005433207,0.000012892117,0.0001565053,0.0014132116,0.0021899128,0.99477434,0.0007624886,0.00019512138],"about_ca_topic_score_codex":0.0000037134319,"about_ca_topic_score_gemma":9.982709e-7,"teacher_disagreement_score":0.038931854,"about_ca_system_score_codex":0.000018238137,"about_ca_system_score_gemma":0.000036614554,"threshold_uncertainty_score":0.6424991},"labels":[],"label_agreement":null},{"id":"W2967413755","doi":"10.1063/1.5124251","title":"The dual pair (Uq(su(1,1)),oq1/2(2n)), <i>q</i>-oscillators, and Askey-Wilson algebras","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Centralizer and normalizer; Dual (grammatical number); Rank (graph theory); Extension (predicate logic); Dual pair; Algebra over a field","score_opus":0.03647945242958277,"score_gpt":0.27267103137094145,"score_spread":0.23619157894135867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2967413755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96981376,0.0005668998,0.019122543,0.008046614,0.00073382276,0.0003815732,0.0000056563517,0.00008001163,0.0012491154],"genre_scores_gemma":[0.9935666,0.000055789522,0.004119475,0.0005187952,0.0016199753,0.000003457508,3.915459e-7,0.000056348432,0.000059218157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975664,0.00012581729,0.0008854776,0.00020071719,0.00086200703,0.00035956534],"domain_scores_gemma":[0.9969629,0.0015055574,0.00064349786,0.00030379446,0.0002187283,0.000365496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005915075,0.00029813842,0.00067286374,0.00002043818,0.00025761224,0.00020913263,0.0003843112,0.0001320355,0.00004399039],"category_scores_gemma":[0.0011749861,0.00017885838,0.0002994563,0.00020329053,0.00020280556,0.00022428962,0.00019028308,0.00059626467,0.000016740893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000072713534,0.00009568685,0.00004416582,0.00015951764,0.00015960628,0.000019542393,0.0012180064,0.000008193616,0.0001909539,0.9878582,0.007903615,0.0022698198],"study_design_scores_gemma":[0.0007377833,0.0002999517,0.000030443818,0.00008930962,0.00015483137,0.000084403175,0.00032800093,0.0009427552,0.0007537129,0.99388784,0.0024821868,0.00020875005],"about_ca_topic_score_codex":5.8651943e-7,"about_ca_topic_score_gemma":1.3505733e-7,"teacher_disagreement_score":0.023752784,"about_ca_system_score_codex":0.00004195589,"about_ca_system_score_gemma":0.00009417888,"threshold_uncertainty_score":0.72936326},"labels":[],"label_agreement":null},{"id":"W2970492033","doi":"10.1142/s0219498820501790","title":"An associative left brace is a ring","year":2019,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Brace; Associative property; Mathematics; Ring (chemistry); Jacobson radical; Combinatorics; Pure mathematics; Engineering; Structural engineering","score_opus":0.016689753807383412,"score_gpt":0.30393390165194806,"score_spread":0.28724414784456465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2970492033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9964018,0.00031051986,0.0014271323,0.00048223208,0.00012060681,0.00022628182,0.000003820662,0.000013795322,0.0010138524],"genre_scores_gemma":[0.9981377,0.00007252186,0.001031328,0.00017874647,0.00022557672,0.000004375789,4.7846356e-7,0.000014843768,0.00033441608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999199,0.00002759466,0.00031100577,0.000120253324,0.00021734042,0.00012484065],"domain_scores_gemma":[0.998924,0.00018868098,0.00039670718,0.0001673777,0.00021765252,0.00010556762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020035423,0.000098474695,0.00023003516,0.00005846128,0.00009532132,0.000051455107,0.00018759098,0.000076138385,0.00016002187],"category_scores_gemma":[0.00004384273,0.000079878926,0.00007233519,0.000088001296,0.000013113171,0.0002670842,0.00002930111,0.00019272955,0.000013425223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010465572,0.000074277996,0.00084258505,0.000023770968,0.00007627136,4.3744785e-7,0.0015988507,0.0000018922611,0.0013407761,0.9946448,0.00034507987,0.0010407906],"study_design_scores_gemma":[0.0004754825,0.0001417523,0.0021315238,0.00002582967,0.00006057937,0.000033671204,0.00042445053,0.00021657842,0.0016576338,0.9928242,0.0018874913,0.000120792574],"about_ca_topic_score_codex":0.0000014418105,"about_ca_topic_score_gemma":6.863168e-7,"teacher_disagreement_score":0.0018205876,"about_ca_system_score_codex":0.000032727447,"about_ca_system_score_gemma":0.00004922655,"threshold_uncertainty_score":0.3257368},"labels":[],"label_agreement":null},{"id":"W2973097235","doi":"","title":"Strong generators of the subregular W-algebra WK−N(slN,fsub) and combinatorial description at critical level","year":2020,"lang":"en","type":"article","venue":"Terrestrial Environment Research Center (University of Tsukuba)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science","keywords":"Combinatorics; Physics; Mathematics; Affine transformation; Type (biology); Algebra over a field; Pure mathematics","score_opus":0.15331069256690785,"score_gpt":0.2944945845608278,"score_spread":0.14118389199391992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973097235","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9961112,0.000059091766,0.00085802993,0.001744653,0.0005112429,0.0004789191,0.000051510247,0.000016622558,0.00016874327],"genre_scores_gemma":[0.99909157,0.00005436991,0.00050377665,0.000015022819,0.00022139911,9.179549e-7,0.000007574874,0.000019355075,0.00008601676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997332,0.00049076683,0.0002652726,0.00039364694,0.001122447,0.00039589294],"domain_scores_gemma":[0.99888134,0.00026753047,0.0001416329,0.00042285575,0.00004110918,0.00024551022],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048292163,0.00018395083,0.00036637072,0.000074187505,0.00037171427,0.000026005539,0.0005835985,0.00016666843,0.00029082957],"category_scores_gemma":[0.00028656618,0.00017005931,0.00018263003,0.00015080319,0.0009368116,0.00019251418,0.001151108,0.0003864429,0.00000652926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0037710643,0.0009689182,0.017555822,0.00053020637,0.0004470139,0.00005326252,0.0073736254,0.000051803563,0.025977114,0.92994714,0.011204863,0.0021191668],"study_design_scores_gemma":[0.033905033,0.0036477342,0.047287416,0.00052128354,0.00067470083,0.000029220759,0.008041553,0.005516456,0.029961463,0.85312164,0.015611776,0.0016817],"about_ca_topic_score_codex":0.00016107199,"about_ca_topic_score_gemma":0.000016593493,"teacher_disagreement_score":0.07682548,"about_ca_system_score_codex":0.00023912499,"about_ca_system_score_gemma":0.00006166074,"threshold_uncertainty_score":0.69348174},"labels":[],"label_agreement":null},{"id":"W2973186672","doi":"10.1007/jhep04(2020)142","title":"The O(N) S-matrix monolith","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Government of Canada; Institut Périmètre de physique théorique; Simons Foundation; W. M. Keck Foundation; U.S. Department of Energy","keywords":"Unitarity; Spacetime; Minification; Space (punctuation); Quantum field theory; Regular polygon; Vector space; Integrable system; Field (mathematics); Symmetry (geometry)","score_opus":0.022150276313475752,"score_gpt":0.2626315312650282,"score_spread":0.24048125495155245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973186672","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64124477,0.0017292962,0.33865175,0.011697102,0.004531382,0.00012364752,0.0000055739474,0.0000910922,0.0019253865],"genre_scores_gemma":[0.9964316,0.00008841137,0.0010186754,0.0002670062,0.002071341,8.997169e-7,2.0222875e-7,0.000020066267,0.000101804835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990694,0.000044452107,0.00033532557,0.00007166093,0.00033085753,0.00014830547],"domain_scores_gemma":[0.99894524,0.00024484965,0.00039593765,0.00015336357,0.00015279875,0.000107827604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000084575644,0.00011012686,0.00023737598,0.000008840457,0.00011684578,0.000050125625,0.00034395242,0.00004183709,0.000007870452],"category_scores_gemma":[0.0000889311,0.00006356687,0.00016248999,0.00012283448,0.000032852982,0.000104477294,0.0000540281,0.0001796039,0.000001849981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004857153,0.000017265776,0.0000049910946,0.0000053538192,0.000078004676,0.000006778059,0.00015531777,0.00016689785,0.000029984947,0.9923597,0.0047244034,0.0024027564],"study_design_scores_gemma":[0.00037082826,0.00013546803,0.000012354213,0.000008869243,0.000043745018,0.0000098585,0.00005236021,0.00014101915,0.0020748533,0.98913884,0.007935916,0.000075868484],"about_ca_topic_score_codex":0.000008984988,"about_ca_topic_score_gemma":7.2349025e-7,"teacher_disagreement_score":0.35518682,"about_ca_system_score_codex":0.000023776047,"about_ca_system_score_gemma":0.00006507432,"threshold_uncertainty_score":0.2592182},"labels":[],"label_agreement":null},{"id":"W2973515713","doi":"10.4171/jca/32","title":"Highest weights for truncated shifted Yangians and product monomial crystals","year":2015,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Toronto","funders":"","keywords":"Monomial; Conjecture; Mathematics; Product (mathematics); Context (archaeology); Symplectic geometry; Pure mathematics; Duality (order theory); Grassmannian; Combinatorics; Geometry; Biology","score_opus":0.12108923796938555,"score_gpt":0.2133937479748888,"score_spread":0.09230451000550326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973515713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99248683,0.000035293106,0.0056381747,0.00012880079,0.00042387922,0.00044785923,0.000012082417,0.00012340488,0.00070367416],"genre_scores_gemma":[0.9976248,0.000006930134,0.00072449713,0.000023627308,0.00019532148,0.0000016887603,0.0000070929323,0.000025445112,0.0013905532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990829,0.00004306751,0.00014615917,0.00042211474,0.000054705193,0.00025100826],"domain_scores_gemma":[0.9991128,0.0001317032,0.00010535866,0.00032354431,0.00013910166,0.000187505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014653105,0.00017859165,0.0002566303,0.0000817064,0.00011376384,0.000033075,0.0002030873,0.0001014369,0.000015620006],"category_scores_gemma":[0.00012546401,0.00017191702,0.00007534981,0.00020233929,0.0000785323,0.00018776508,0.00007776661,0.00008591019,0.0000057502607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002508892,0.000057254005,0.00069170835,0.000032840206,0.000069405105,0.000016304131,0.00034391737,0.000120253324,0.000051773342,0.99624646,0.002048135,0.00007105471],"study_design_scores_gemma":[0.0019485562,0.00013667143,0.00031551233,0.00001252734,0.00011155098,0.000004201619,0.00015361304,0.0038305344,0.00043096722,0.9904797,0.0023244838,0.0002516496],"about_ca_topic_score_codex":0.000050571056,"about_ca_topic_score_gemma":0.000019684236,"teacher_disagreement_score":0.005766733,"about_ca_system_score_codex":0.00008660845,"about_ca_system_score_gemma":0.00007658404,"threshold_uncertainty_score":0.70105726},"labels":[],"label_agreement":null},{"id":"W2977897224","doi":"10.1007/jhep01(2020)042","title":"On extensions of $$ \\mathfrak{gl}\\widehat{\\left(\\left.m\\right|n\\right)} $$ Kac-Moody algebras and Calabi-Yau singularities","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Government of Canada; Institut Périmètre de physique théorique; Simons Foundation; National Science Foundation","keywords":"Calabi–Yau manifold; Physics; Gravitational singularity; Pure mathematics; Mathematical physics; Mathematics; Quantum mechanics","score_opus":0.017535857919087895,"score_gpt":0.24266683906133135,"score_spread":0.22513098114224345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2977897224","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98104566,0.0004252728,0.015167952,0.0012021905,0.0012380456,0.000102885424,0.000021326367,0.000049149156,0.00074752246],"genre_scores_gemma":[0.99511904,0.00012629168,0.0028809353,0.0006435877,0.0010343142,0.0000011943823,0.0000038107105,0.000069303234,0.00012151141],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975423,0.00012426097,0.00092125445,0.00028838703,0.0007865571,0.00033720795],"domain_scores_gemma":[0.9974189,0.00058485963,0.0008882628,0.0003651161,0.00043607576,0.0003067925],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015697171,0.00038477845,0.0009765579,0.00009176043,0.00018159977,0.000068721296,0.00038085642,0.00019336515,0.00010696766],"category_scores_gemma":[0.00023212809,0.0002926955,0.00032426967,0.00017701111,0.00019244158,0.000283533,0.00014043222,0.00044456343,0.0000020299021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012143372,0.00018964245,0.000028553202,0.00008312698,0.00022912455,0.000064027,0.00068657624,0.00019085384,0.0007636965,0.9945914,0.0025840234,0.0004675499],"study_design_scores_gemma":[0.0011196904,0.0007025852,0.00017538131,0.0001992021,0.00022510512,0.00007430971,0.000118397584,0.00020492154,0.01733499,0.9787044,0.0008383045,0.00030274602],"about_ca_topic_score_codex":0.000041730415,"about_ca_topic_score_gemma":0.000006984999,"teacher_disagreement_score":0.016571295,"about_ca_system_score_codex":0.00005448087,"about_ca_system_score_gemma":0.00015264926,"threshold_uncertainty_score":0.9999525},"labels":[],"label_agreement":null},{"id":"W2978218514","doi":"10.1007/s00031-021-09652-1","title":"INVARIANT SUBALGEBRAS OF THE SMALL 𝒩 = 4 SUPERCONFORMAL ALGEBRA","year":2021,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Coset; Corollary; Invariant (physics); Pure mathematics; Superconformal algebra; Algebra over a field; Degenerate energy levels; Rank (graph theory); Vertex (graph theory); Combinatorics; Physics; Graph; Mathematical physics","score_opus":0.03147131919141909,"score_gpt":0.24738722666128324,"score_spread":0.21591590746986414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2978218514","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98235714,0.00005254732,0.0098023545,0.0006693475,0.0005836394,0.0002630659,0.000010962957,0.00005127696,0.0062096324],"genre_scores_gemma":[0.9988621,0.000015343418,0.00072839705,0.00019725093,0.00006699751,0.000012920331,0.000011826154,0.000016210264,0.000088962086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987335,0.00008287465,0.0005236328,0.00012569605,0.00031909518,0.00021518918],"domain_scores_gemma":[0.9991775,0.000116050614,0.00010972385,0.0003893927,0.00015220806,0.00005511356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022512888,0.0001504221,0.0002356212,0.00003569771,0.00013346015,0.000035205965,0.00028137784,0.000119457254,0.00032273814],"category_scores_gemma":[0.000080834136,0.0001062375,0.00019712228,0.00028249735,0.000059183698,0.00028199813,0.000042582906,0.00018182088,0.0000086135815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014787592,0.00003978268,0.000102533886,0.0001186763,0.00003301659,9.754485e-7,0.0040013194,0.000007393792,0.0008970226,0.99393964,0.00007281097,0.00077202707],"study_design_scores_gemma":[0.00093610346,0.000031051175,0.0017040599,0.000046776222,0.00006588369,0.000040656807,0.0011078037,0.00026217964,0.05708581,0.93807125,0.00047550327,0.00017292623],"about_ca_topic_score_codex":0.000020809332,"about_ca_topic_score_gemma":0.000059019596,"teacher_disagreement_score":0.056188785,"about_ca_system_score_codex":0.000030098658,"about_ca_system_score_gemma":0.0001203181,"threshold_uncertainty_score":0.43322396},"labels":[],"label_agreement":null},{"id":"W2978238756","doi":"10.1093/imrn/rnaa078","title":"<i>N</i>= 4 Superconformal Algebras and Diagonal Cosets","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Russian Science Foundation","keywords":"Coset; Diagonal; Degenerate energy levels; Connection (principal bundle); Quotient; Vertex (graph theory); Vertex operator algebra","score_opus":0.2098697390646709,"score_gpt":0.41914943649660635,"score_spread":0.20927969743193545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2978238756","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.975909,0.00011608847,0.0011811632,0.006823046,0.00042311224,0.00038189907,0.000026467766,0.00010438265,0.015034823],"genre_scores_gemma":[0.9918423,0.000043733213,0.0071521588,0.00030892214,0.00040138993,0.00003257457,0.0000080539885,0.00003346024,0.00017737535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974407,0.00007892143,0.00041779949,0.00031031022,0.0013679701,0.00038428121],"domain_scores_gemma":[0.99749684,0.0015701604,0.000095944146,0.00020602708,0.00035061748,0.00028039992],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000723973,0.00018316429,0.0002610424,0.0001222217,0.0001759803,0.0002886759,0.0006733479,0.00010326783,0.00059771404],"category_scores_gemma":[0.0022674191,0.00015382089,0.00007208697,0.00016946383,0.00021955119,0.00038417394,0.00047533915,0.00044309653,0.000089162415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003631983,0.0000857895,0.00026110586,0.00016764464,0.00009809628,0.000016538821,0.0029481824,0.0000055137452,0.00031175703,0.99272305,0.0023988609,0.0009471679],"study_design_scores_gemma":[0.0006080239,0.00011341154,0.00028825348,0.00006217683,0.000016728836,0.000015890004,0.0011167098,0.0156171005,0.00087597815,0.9765279,0.004550071,0.0002077076],"about_ca_topic_score_codex":0.000017252849,"about_ca_topic_score_gemma":0.0000063505736,"teacher_disagreement_score":0.016195076,"about_ca_system_score_codex":0.00004421342,"about_ca_system_score_gemma":0.00007241121,"threshold_uncertainty_score":0.65445495},"labels":[],"label_agreement":null},{"id":"W2980098205","doi":"10.1090/conm/761/15307","title":"A note on sequential walks","year":2021,"lang":"en","type":"preprint","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Computer science","score_opus":0.0685513163313634,"score_gpt":0.335259641379924,"score_spread":0.26670832504856057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980098205","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61968565,0.00085103366,0.2874883,0.0031872324,0.0040522255,0.006106242,0.00038386867,0.0026466183,0.07559883],"genre_scores_gemma":[0.82160115,0.0000750932,0.17433819,0.001024612,0.00090204965,0.00043546586,0.00014896624,0.00043264218,0.0010418113],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99224466,0.0003742368,0.0024017543,0.0017503481,0.002089858,0.0011391402],"domain_scores_gemma":[0.99081343,0.0027612385,0.002130003,0.003208457,0.00044609874,0.0006407705],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0012518045,0.0016996074,0.0035850974,0.0001264228,0.00037601215,0.00064569555,0.0016838848,0.0010438273,0.000689095],"category_scores_gemma":[0.0014976646,0.0014828693,0.002772266,0.0005592995,0.00110001,0.00018638179,0.002301236,0.0028552527,0.00011557117],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006895313,0.0026155666,0.000016530848,0.006352565,0.0017146852,0.00014106292,0.017139433,0.00004601631,0.00017842816,0.94405884,0.02681517,0.0008527418],"study_design_scores_gemma":[0.00085605175,0.00024277683,0.0000069376415,0.0018469617,0.00039319752,0.00003529969,0.0035864706,0.008399243,0.00052414765,0.98201555,0.0005209074,0.0015724732],"about_ca_topic_score_codex":0.000044379372,"about_ca_topic_score_gemma":0.0000029871424,"teacher_disagreement_score":0.20191552,"about_ca_system_score_codex":0.0005391667,"about_ca_system_score_gemma":0.0010988943,"threshold_uncertainty_score":0.999575},"labels":[],"label_agreement":null},{"id":"W2980131931","doi":"10.1007/s11425-019-1612-8","title":"Semilinear automorphisms of classical groups and quivers","year":2019,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Automorphism; Lie algebra; Classical group; Fixed point; Lie group; Field (mathematics); Point (geometry); Automorphism group; Group (periodic table)","score_opus":0.014793722235803806,"score_gpt":0.2738262965677366,"score_spread":0.2590325743319328,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980131931","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9950463,0.000022084647,0.0010258644,0.00012367291,0.00041857315,0.0002495944,0.0000027913668,0.000050266757,0.003060836],"genre_scores_gemma":[0.9754498,0.0000066760076,0.024162913,0.000018175313,0.000034059904,0.0000025379231,3.3314538e-7,0.0000147077435,0.00031079107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984979,0.000014888604,0.00031844372,0.00027967308,0.00061561714,0.0002734795],"domain_scores_gemma":[0.99895674,0.00019193481,0.000196325,0.00046029716,0.0000808355,0.000113872986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061273016,0.00015234524,0.00034022782,0.00009922196,0.000103100996,0.00004218872,0.0004307257,0.00007192815,0.000099376295],"category_scores_gemma":[0.00034282095,0.000115692405,0.000060205304,0.00037040634,0.0006017864,0.00021030339,0.00021548792,0.00013857234,0.00001395581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000035760213,0.00006168915,0.00025507432,0.00017380434,0.000007266674,8.3108154e-7,0.0024729422,0.000005725085,0.0030005432,0.99371755,0.000101658996,0.00019935412],"study_design_scores_gemma":[0.0003259194,0.000102949525,0.0005915392,0.00007198426,0.000019629477,0.000016238999,0.00048449737,0.009681277,0.0036158487,0.98492104,0.000034419434,0.00013465768],"about_ca_topic_score_codex":0.000004761843,"about_ca_topic_score_gemma":5.1080525e-7,"teacher_disagreement_score":0.023137048,"about_ca_system_score_codex":0.00004007479,"about_ca_system_score_gemma":0.0001045829,"threshold_uncertainty_score":0.4717799},"labels":[],"label_agreement":null},{"id":"W2980148097","doi":"10.5802/alco.53","title":"The antipode of linearized Hopf monoids","year":2019,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; York University","keywords":"Hopf algebra; Mathematics; Monoid; Functor; Commutative property; Pure mathematics; Tensor algebra; Combinatorics; Discrete mathematics; Algebra over a field; Division algebra; Subalgebra","score_opus":0.011036937442571311,"score_gpt":0.2489928585774069,"score_spread":0.2379559211348356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980148097","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97159123,0.0047335816,0.00021522198,0.0007505231,0.014765551,0.0015891806,0.000026423924,0.00014942324,0.006178874],"genre_scores_gemma":[0.9900364,0.0012795347,0.0001485057,0.00010418706,0.00033140666,0.000030695744,0.000012508808,0.00017424345,0.0078824945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9943998,0.0003912272,0.0017198022,0.00083390187,0.0014730068,0.0011822719],"domain_scores_gemma":[0.99221116,0.002977343,0.0012189584,0.0026298468,0.00066409237,0.0002985667],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012608563,0.0008297968,0.0014240809,0.00017086565,0.0005308223,0.00024911383,0.0018980746,0.0007169054,0.00035288977],"category_scores_gemma":[0.0008512604,0.00063814403,0.000713206,0.0012071194,0.00039449136,0.00023973123,0.0008359985,0.0011157615,0.00034371976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019598546,0.0003792865,0.002070192,0.00041358703,0.00047245156,0.0000072470834,0.0009183818,0.000012110883,0.00029421248,0.9911932,0.0023111864,0.0017322053],"study_design_scores_gemma":[0.0038244277,0.0006797928,0.0007316019,0.00020870598,0.00032821065,0.000013413992,0.0005763692,0.002434135,0.002634343,0.9771916,0.010628541,0.0007488514],"about_ca_topic_score_codex":0.00012415931,"about_ca_topic_score_gemma":0.000008042783,"teacher_disagreement_score":0.018445203,"about_ca_system_score_codex":0.00021510164,"about_ca_system_score_gemma":0.00051916565,"threshold_uncertainty_score":0.99960697},"labels":[],"label_agreement":null},{"id":"W2981569987","doi":"10.1093/imrn/rnab131","title":"A Leray Model for the Orlik–Solomon Algebra","year":2021,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Matroid; Graphic matroid; Hyperplane; Mathematics; Monomial; Oriented matroid; Generalization; Basis (linear algebra); Matroid partitioning; Gröbner basis; Algebra over a field; Combinatorics; Ideal (ethics); Complement (music); Construct (python library); Abstract algebra; Discrete mathematics; Pure mathematics; Polynomial; Computer science","score_opus":0.31216098994728136,"score_gpt":0.47850271926264554,"score_spread":0.16634172931536417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981569987","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2916818,0.0023399647,0.6572802,0.016233355,0.011157345,0.00722743,0.00043206027,0.00042660438,0.013221227],"genre_scores_gemma":[0.9061183,0.00022234379,0.08643453,0.000116754156,0.001263194,0.0013071895,0.00007576452,0.00014685045,0.004315088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9948561,0.00017983961,0.0009168692,0.0007792274,0.0025751726,0.0006927548],"domain_scores_gemma":[0.98742455,0.008382972,0.0004913638,0.0013729513,0.002182591,0.00014555897],"candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.002818301,0.0004641365,0.00064275094,0.00028768374,0.0004559374,0.0012736175,0.0030118206,0.00047973066,0.0002942665],"category_scores_gemma":[0.0054606544,0.00032736355,0.0005155958,0.00018267593,0.0002798651,0.00019045785,0.0026303655,0.0016546623,0.000017005133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059585833,0.00038738202,0.000006025966,0.0011166303,0.0009117403,0.0000105385,0.006420179,0.008602241,0.00006628213,0.9766395,0.0047737667,0.0010061216],"study_design_scores_gemma":[0.00024654614,0.00002145199,0.0000024662752,0.00030726969,0.00006939052,0.000003807436,0.00083453406,0.42973843,0.00019694626,0.56800705,0.00037251893,0.00019958089],"about_ca_topic_score_codex":0.0000746584,"about_ca_topic_score_gemma":0.00012349091,"teacher_disagreement_score":0.6144365,"about_ca_system_score_codex":0.00030984005,"about_ca_system_score_gemma":0.0006367553,"threshold_uncertainty_score":0.99991786},"labels":[],"label_agreement":null},{"id":"W2982884077","doi":"10.1016/j.jalgebra.2020.09.035","title":"Finite-dimensional Hopf algebras over the Hopf algebra H:1 of Kashina","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Science and Technology Commission of Shanghai Municipality; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Hopf algebra; Mathematics; Representation theory of Hopf algebras; Quasitriangular Hopf algebra; Pure mathematics; Algebra over a field; Division algebra; Filtered algebra","score_opus":0.03186666603898421,"score_gpt":0.2733402220976599,"score_spread":0.2414735560586757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982884077","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915436,0.00084571796,0.00089125976,0.0047669625,0.0012160222,0.00024203699,0.000011629312,0.00003425442,0.00044849943],"genre_scores_gemma":[0.9947181,0.000050229093,0.0019026237,0.0019366862,0.0012582692,0.000003080068,0.0000018058503,0.00006442786,0.00006481445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964653,0.00021118672,0.0013582191,0.0002692904,0.0012900011,0.00040599238],"domain_scores_gemma":[0.995833,0.0014795841,0.0014509445,0.00046676822,0.0004479657,0.0003217843],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006897316,0.00037063097,0.00085381593,0.00012451202,0.0001838644,0.00007126556,0.0009780499,0.00021488902,0.0009365748],"category_scores_gemma":[0.0015688726,0.00023616207,0.0006390212,0.00048418413,0.00020447273,0.00033162974,0.00026507484,0.0008236447,0.000019865973],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00059925107,0.00026606576,0.00097487133,0.00017415988,0.00077664544,0.00011070568,0.0035009717,0.00033230436,0.0014165986,0.93749124,0.0528609,0.00149629],"study_design_scores_gemma":[0.0021071495,0.0007866789,0.0024773136,0.00014068361,0.0003120955,0.00012394477,0.0003134495,0.0006706871,0.003384968,0.9861578,0.0031710884,0.00035414545],"about_ca_topic_score_codex":0.000011653361,"about_ca_topic_score_gemma":0.0000022427334,"teacher_disagreement_score":0.049689814,"about_ca_system_score_codex":0.000055337387,"about_ca_system_score_gemma":0.00028956422,"threshold_uncertainty_score":0.9999767},"labels":[],"label_agreement":null},{"id":"W2982961350","doi":"10.1007/jhep10(2020)095","title":"Momentum space CFT correlators for Hamiltonian truncation","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Defense Advanced Research Projects Agency; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Abdus Salam International Centre for Theoretical Physics; National Science Foundation; Government of Canada; Institut Périmètre de physique théorique; National Centres of Competence in Research SwissMAP; Simons Foundation","keywords":"Conformal map; Hamiltonian (control theory); Position and momentum space; Truncation (statistics); Computation; Operator (biology); Conformal field theory; Hypergeometric function","score_opus":0.025097351228659096,"score_gpt":0.2536395730782101,"score_spread":0.22854222184955103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982961350","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31603014,0.00012777433,0.6784202,0.0025032347,0.0024743795,0.00011755237,0.000007198669,0.0000359269,0.00028358694],"genre_scores_gemma":[0.993335,0.000020619333,0.004548195,0.00025441722,0.0016726996,0.000003906708,0.0000025609525,0.000032066306,0.00013053455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905825,0.000025958007,0.00035873952,0.00011089233,0.0002930403,0.00015311576],"domain_scores_gemma":[0.9988585,0.00015065551,0.0005255337,0.00012806407,0.00020710599,0.00013011256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007506415,0.00014001699,0.00031920665,0.000023846713,0.00006998105,0.000030127812,0.00019717292,0.000070564754,0.000010956603],"category_scores_gemma":[0.000091185735,0.0001148665,0.00019628814,0.00013059824,0.00002115498,0.000157772,0.000028661301,0.00013278093,0.0000010032804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007957105,0.00004575082,0.000015544178,0.00002356033,0.00008995833,0.000002022057,0.00033354582,0.00045017744,0.00014988227,0.9922234,0.005492185,0.0010944161],"study_design_scores_gemma":[0.00093091524,0.00031531803,0.00003120425,0.000021541618,0.000094501374,0.000004870996,0.000066172535,0.00096670573,0.004843141,0.9878394,0.004762919,0.00012330708],"about_ca_topic_score_codex":0.000007645132,"about_ca_topic_score_gemma":7.509975e-7,"teacher_disagreement_score":0.67730486,"about_ca_system_score_codex":0.00005620208,"about_ca_system_score_gemma":0.00008311712,"threshold_uncertainty_score":0.46841198},"labels":[],"label_agreement":null},{"id":"W2983279275","doi":"10.1007/jhep11%282019%29076","title":"The S-matrix bootstrap IV: multiple amplitudes","year":2019,"lang":"en","type":"article","venue":"Durham Research Online (Durham University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Unitarity; Ising model; Crossing; Scattering amplitude; S-matrix; Mathematical physics; Conformal map; Amplitude; Physics; Coupling (piping); Integrable system; Matrix (chemical analysis); Symmetry (geometry); Space (punctuation); Scattering; Quantum mechanics; Mathematics; Mathematical analysis; Geometry","score_opus":0.122152928873298,"score_gpt":0.3942393465405139,"score_spread":0.2720864176672159,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2983279275","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9875787,0.00024159021,0.00025581967,0.0016696276,0.0006512222,0.0010251582,0.000050653685,0.00020080576,0.008326409],"genre_scores_gemma":[0.963831,0.00026160417,0.0007088676,0.000023775945,0.00030036707,0.00000280067,0.000020667609,0.000048605343,0.03480228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99650455,0.00043228047,0.00031136654,0.00057753286,0.0011621289,0.0010121353],"domain_scores_gemma":[0.9950858,0.0028351294,0.00012633154,0.0011204826,0.0005511347,0.00028115424],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095801003,0.00028037984,0.00036136102,0.00039446945,0.0008555538,0.00015580562,0.0014530683,0.00022887751,0.00027814417],"category_scores_gemma":[0.00084317086,0.00021837968,0.00023702323,0.0010872878,0.00036705984,0.00027456356,0.0005436279,0.0010265935,0.00014880681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034918205,0.00026507734,0.0023154828,0.000088207766,0.0001473847,0.0000728002,0.00027774318,0.000023073288,0.0009567998,0.99037135,0.0038323936,0.0013004934],"study_design_scores_gemma":[0.0034963659,0.00048027484,0.00372609,0.00011703325,0.00004952294,0.000019636329,0.0053807893,0.0011988701,0.0006214108,0.67888707,0.30535147,0.0006714641],"about_ca_topic_score_codex":0.00022385844,"about_ca_topic_score_gemma":0.00032752228,"teacher_disagreement_score":0.31148428,"about_ca_system_score_codex":0.0002909015,"about_ca_system_score_gemma":0.00032202047,"threshold_uncertainty_score":0.8905265},"labels":[],"label_agreement":null},{"id":"W2985482009","doi":"10.1007/jhep11(2019)056","title":"Dualities of corner configurations and supersymmetric indices","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Japan Society for the Promotion of Science; Institut Périmètre de physique théorique; Government of Canada","keywords":"Variety (cybernetics); String (physics); Action (physics); Supersymmetry; String theory; S-duality; Supersymmetric gauge theory; String field theory","score_opus":0.018342131523151204,"score_gpt":0.2487855495846988,"score_spread":0.2304434180615476,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2985482009","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99625736,0.00022297355,0.0019194453,0.000046045065,0.0005391728,0.000024273644,0.000004623498,0.0000042159813,0.0009818807],"genre_scores_gemma":[0.99893117,0.00006811135,0.00043732446,0.00003594286,0.0002502766,5.370008e-7,9.4698197e-7,0.000010877223,0.00026483537],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999244,0.00003394819,0.00032139977,0.00006071265,0.00025483177,0.00008513862],"domain_scores_gemma":[0.99894065,0.00030121015,0.00041504682,0.000112306305,0.00018982994,0.000040988136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008670326,0.00008671144,0.0003027217,0.00008046112,0.000027530723,0.000019205883,0.000104890154,0.00005020405,0.000038883405],"category_scores_gemma":[0.000039273295,0.00006492212,0.00007961547,0.00014136091,0.000043622655,0.00016584425,0.000024195055,0.00008901502,4.510044e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001973691,0.00003719343,0.00017797555,0.000029011133,0.00008839469,0.000001294284,0.0003035237,0.000022750966,0.00029751848,0.9982933,0.00021661764,0.00051269034],"study_design_scores_gemma":[0.0005344604,0.00019944801,0.00056603755,0.000031945754,0.000056980778,0.000016830947,0.00033570232,0.000019310646,0.0048502334,0.9930804,0.00023487356,0.000073790005],"about_ca_topic_score_codex":0.000045145644,"about_ca_topic_score_gemma":0.0000013976627,"teacher_disagreement_score":0.0052129063,"about_ca_system_score_codex":0.0000131774295,"about_ca_system_score_gemma":0.000052246614,"threshold_uncertainty_score":0.2647447},"labels":[],"label_agreement":null},{"id":"W2986467334","doi":"10.1016/j.jalgebra.2019.10.034","title":"Invariance properties of cyclic cohomology with coefficients","year":2019,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Functor; Pure mathematics; Converse; Tensor product; Ext functor; Cohomology; Algebra over a field; Derived functor; Functor category; Geometry","score_opus":0.021875377150292325,"score_gpt":0.24450645145123706,"score_spread":0.22263107430094473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2986467334","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9978245,0.00021795274,0.00056249235,0.000120757155,0.00060291315,0.00014043337,5.4346907e-7,0.000006853457,0.00052356406],"genre_scores_gemma":[0.9986255,0.000009960733,0.0010045071,0.00006428153,0.000092662376,9.721696e-7,1.0860785e-7,0.000017540227,0.0001844562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988833,0.000053610747,0.00045373675,0.000094004004,0.00036019896,0.00015516188],"domain_scores_gemma":[0.9987388,0.00008695411,0.0006408367,0.00021240035,0.00026510988,0.000055854005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002304087,0.000114424765,0.0004240884,0.00007972268,0.000024143208,0.000013250366,0.00027612897,0.000074907104,0.00009919437],"category_scores_gemma":[0.00011219679,0.000069837886,0.00008271851,0.00012581686,0.000074871336,0.00011481532,0.000041721374,0.00019193324,0.0000067600904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011041511,0.00040033823,0.009405376,0.00037118045,0.00047951686,0.000038459206,0.0021084873,0.00021584761,0.019603401,0.9649091,0.00073215447,0.0006319883],"study_design_scores_gemma":[0.004769604,0.0025696906,0.0030237124,0.00082578283,0.00019845198,0.00071186124,0.0005257499,0.00011322955,0.061099853,0.9252161,0.00057755446,0.00036842815],"about_ca_topic_score_codex":0.000005530309,"about_ca_topic_score_gemma":0.0000011992748,"teacher_disagreement_score":0.041496452,"about_ca_system_score_codex":0.000027802895,"about_ca_system_score_gemma":0.000120313365,"threshold_uncertainty_score":0.28479064},"labels":[],"label_agreement":null},{"id":"W2987184215","doi":"10.70930/tac/9wif9i8c","title":"A modular functor from state sums for finite tensor categories and their bimodules","year":2022,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Deutsche Forschungsgemeinschaft","keywords":"Functor; Bimodule; Mathematics; Tensor (intrinsic definition); Pure mathematics; Exact functor; Modular design; State (computer science); Tensor product; Class (philosophy); Algebra over a field; Computer science; Artificial intelligence; Algorithm","score_opus":0.015703547513195686,"score_gpt":0.2463030831864525,"score_spread":0.2305995356732568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2987184215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8970676,0.0017224634,0.099423364,0.0001326299,0.00009843337,0.0007437196,0.0006495917,0.00006550156,0.000096666496],"genre_scores_gemma":[0.99768806,0.00006653022,0.00069820805,0.000039932147,0.00008918305,0.0009879039,0.00006636015,0.000026937218,0.0003369077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913013,0.00008816524,0.00025711997,0.0002612646,0.000105422776,0.00015786839],"domain_scores_gemma":[0.9978838,0.0014622394,0.00016040668,0.00035396512,0.000088091394,0.000051524305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003485478,0.00017272354,0.00029941325,0.000056217938,0.00047330034,0.0000350871,0.00018691548,0.000039403752,0.0000513936],"category_scores_gemma":[0.00008701079,0.0001382626,0.00005564985,0.00012169334,0.00027483527,0.000078303114,0.00016378108,0.00009935803,3.3805367e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021405131,0.000042800726,0.0000705879,0.000062611914,0.00007924474,1.00966844e-7,0.0029606975,0.000039413542,0.00062863133,0.9917075,0.00004615156,0.004148178],"study_design_scores_gemma":[0.00039428956,0.00008758923,0.0001411634,0.0000031133154,0.00005549402,0.0000017449344,0.004987991,0.00011960277,0.0031534454,0.9851516,0.0057443497,0.00015962998],"about_ca_topic_score_codex":0.000044714558,"about_ca_topic_score_gemma":0.0000059279037,"teacher_disagreement_score":0.10062041,"about_ca_system_score_codex":0.000011916058,"about_ca_system_score_gemma":0.000035313384,"threshold_uncertainty_score":0.5638186},"labels":[],"label_agreement":null},{"id":"W2988031215","doi":"10.1007/s00220-021-04307-4","title":"Chiral Algebras, Factorization Algebras, and Borcherds’s “Singular Commutative Rings” Approach to Vertex Algebras","year":2022,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Vertex (graph theory); Mathematics; Factorization; Pure mathematics; Non-associative algebra; Commutative property; Algebra representation; Vertex operator algebra; Algebra over a field; Jordan algebra; Combinatorics; Graph; Algorithm","score_opus":0.07067331368770442,"score_gpt":0.3318442975506059,"score_spread":0.2611709838629015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2988031215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5885174,0.000836002,0.36530554,0.0019870473,0.0005386834,0.0039151944,0.000094549956,0.00060439954,0.038201164],"genre_scores_gemma":[0.9272952,0.000023682442,0.07153293,0.000273248,0.000054208303,0.0004927212,0.000087524655,0.00008828516,0.0001521701],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971201,0.00059187994,0.00073728507,0.0004793492,0.00061422784,0.00045716995],"domain_scores_gemma":[0.99609965,0.0011912882,0.0002504923,0.002158646,0.00011467286,0.00018526461],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00069263,0.00038610084,0.0006390126,0.00014584852,0.00081704877,0.00012162932,0.0016267251,0.000115078365,0.00007097307],"category_scores_gemma":[0.00062181253,0.00040059185,0.00012357756,0.0008835722,0.00028876384,0.00023645003,0.0022564756,0.00091867894,0.00001526983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017348768,0.0008366479,0.00013941625,0.00009487522,0.000060793216,7.4548007e-7,0.0079023205,0.00011934325,0.00006217018,0.98848206,0.0004146356,0.0018696729],"study_design_scores_gemma":[0.00062917377,0.00008725388,0.00025434283,0.00005346031,0.00006113667,0.000010376985,0.001877134,0.013378752,0.00010482749,0.98270303,0.00041354826,0.00042697007],"about_ca_topic_score_codex":0.000023999068,"about_ca_topic_score_gemma":0.0000030985823,"teacher_disagreement_score":0.3387778,"about_ca_system_score_codex":0.00032421885,"about_ca_system_score_gemma":0.000092660506,"threshold_uncertainty_score":0.9998446},"labels":[],"label_agreement":null},{"id":"W2989712493","doi":"10.1090/tran/8055","title":"Temperley–Lieb, Brauer and Racah algebras and other centralizers of 𝔰𝔲(2)","year":2019,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Agence Nationale de la Recherche","keywords":"Centralizer and normalizer; Mathematics; Conjecture; Duality (order theory); Algebra over a field; Pure mathematics; Tensor product; Quotient","score_opus":0.01370801881681372,"score_gpt":0.2662770986409779,"score_spread":0.2525690798241642,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2989712493","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9897929,0.000050426665,0.008942803,0.0002683134,0.0000695123,0.00033091713,0.000013525515,0.00002555206,0.0005060512],"genre_scores_gemma":[0.9903915,0.000035610974,0.009123836,0.00014687957,0.000013230051,0.0000074063237,1.1934914e-7,0.0000263286,0.00025511862],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99895674,0.000055684275,0.0003453136,0.00018353571,0.00026619225,0.00019256362],"domain_scores_gemma":[0.99879885,0.00044216518,0.00026039404,0.0003898724,0.00003803498,0.00007069852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017194514,0.00016149467,0.0004887378,0.00001600416,0.000075704,0.00001218122,0.00019500584,0.00006371805,0.00024934235],"category_scores_gemma":[0.00003272736,0.00010628507,0.0002724668,0.0001926801,0.0007021123,0.000056505352,0.000028676326,0.0001652586,0.000002116178],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000066081506,0.00038933998,0.0034764297,0.00119993,0.00068315025,1.3468191e-7,0.008462811,0.00003971031,0.006080527,0.9772577,0.0003594875,0.0019846845],"study_design_scores_gemma":[0.00074120605,0.00014047179,0.0013474372,0.000121340214,0.0002434539,0.00001363234,0.0028949112,0.001007593,0.0035759106,0.98958683,0.00013867885,0.00018853362],"about_ca_topic_score_codex":0.00006591969,"about_ca_topic_score_gemma":0.0000013029288,"teacher_disagreement_score":0.012329117,"about_ca_system_score_codex":0.000018047549,"about_ca_system_score_gemma":0.000025363346,"threshold_uncertainty_score":0.43341795},"labels":[],"label_agreement":null},{"id":"W2990574344","doi":"10.1007/jhep02(2020)133","title":"Sphere correlation functions and Verma modules","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Higgs boson; Verma module; Coulomb; Correlation function (quantum field theory); Quantum field theory; Field (mathematics); Supersymmetry; Higgs field","score_opus":0.020292116643119196,"score_gpt":0.22954343482519177,"score_spread":0.20925131818207257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2990574344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64420664,0.00020191487,0.3535194,0.00053464965,0.0009248526,0.000024191668,0.0000027476742,0.00001998145,0.00056563254],"genre_scores_gemma":[0.9974317,0.000030894556,0.001248931,0.000120985394,0.0010679149,5.0443816e-7,0.0000012014461,0.000013564558,0.00008427965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943835,0.000023091816,0.00021402854,0.00006890254,0.0001821476,0.00007349958],"domain_scores_gemma":[0.9994312,0.0000771788,0.00023950175,0.000068892856,0.00010126352,0.000081940474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000028110897,0.00008445027,0.0001856163,0.00001043729,0.00005837032,0.000022703845,0.00007065348,0.000046357218,0.000023757842],"category_scores_gemma":[0.00003572118,0.00006815394,0.000068528716,0.00008186645,0.000020934389,0.00015913436,0.000027104534,0.0001231787,0.0000010862234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003486412,0.000021556012,0.000048384205,0.0000101292,0.000053962707,0.0000037511606,0.0001429138,0.0012956485,0.000048532347,0.99182457,0.0024188699,0.0040968107],"study_design_scores_gemma":[0.0004601942,0.00013239913,0.00019490825,0.000014550252,0.000067689165,0.000013301638,0.000072902374,0.0012745303,0.00035772458,0.9964067,0.00093182444,0.000073278345],"about_ca_topic_score_codex":0.000008576466,"about_ca_topic_score_gemma":0.0000010581078,"teacher_disagreement_score":0.3532251,"about_ca_system_score_codex":0.000015603428,"about_ca_system_score_gemma":0.000025789357,"threshold_uncertainty_score":0.2779237},"labels":[],"label_agreement":null},{"id":"W2994243420","doi":"10.1023/a:1017597724419","title":"Graded contractions of lie algebras and central extensions","year":2001,"lang":"en","type":"article","venue":"Czechoslovak Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Montréal; University of Alberta","funders":"","keywords":"Formalism (music); Lie algebra; Physics; Boson; Pure mathematics; Lie group; Mathematical physics; Theoretical physics; Mathematics; Algebra over a field; Quantum mechanics","score_opus":0.04098617514125832,"score_gpt":0.2963758031236182,"score_spread":0.2553896279823599,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2994243420","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9912359,0.00033433508,0.0071247877,0.00019038557,0.0007778508,0.00009288277,0.0000029318476,0.000012291029,0.00022863147],"genre_scores_gemma":[0.9973015,0.00024991788,0.001770471,0.000046531506,0.0005585209,8.075092e-7,4.823489e-7,0.000019975467,0.000051798866],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886864,0.00004309802,0.00048680694,0.000099319914,0.00028890054,0.00021326005],"domain_scores_gemma":[0.9985385,0.000283772,0.0005437595,0.00019030223,0.00029550595,0.00014816652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011040891,0.00013987104,0.00039763097,0.000052280626,0.0000853096,0.000022151855,0.0001528822,0.000078178695,0.00003693875],"category_scores_gemma":[0.00020357486,0.00011390549,0.00017952042,0.00016936637,0.0000910734,0.0002050804,0.00003505572,0.00029773475,8.770417e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007910199,0.0002392557,0.0007242433,0.000028825472,0.00017733798,0.000027408601,0.0005749152,0.000024386587,0.0067791627,0.9857031,0.0010591119,0.004583143],"study_design_scores_gemma":[0.00094421936,0.00014256925,0.0028231596,0.00007955961,0.00015810916,0.000201788,0.00021911989,0.00004494622,0.0048898663,0.9899003,0.00048247553,0.0001138931],"about_ca_topic_score_codex":0.000006535005,"about_ca_topic_score_gemma":0.0000012334552,"teacher_disagreement_score":0.006065591,"about_ca_system_score_codex":0.000029838657,"about_ca_system_score_gemma":0.000078371915,"threshold_uncertainty_score":0.4644931},"labels":[],"label_agreement":null},{"id":"W2994705598","doi":"10.1007/s00031-021-09655-y","title":"CAPELLI OPERATORS FOR SPHERICAL SUPERHARMONICS AND THE DOUGALL–RAMANUJAN IDENTITY","year":2021,"lang":"en","type":"preprint","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Combinatorics; Indecomposable module; Eigenvalues and eigenvectors; Ramanujan's sum; Omega; Lambda; Physics","score_opus":0.037200516507752704,"score_gpt":0.3017907841916315,"score_spread":0.26459026768387883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2994705598","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6383448,0.0007156732,0.35578346,0.0011992925,0.0015421596,0.0018179769,0.00003258185,0.00009621987,0.00046782542],"genre_scores_gemma":[0.9941143,0.0004844434,0.0044282847,0.00022604575,0.00027031905,0.00028868523,0.00010268371,0.000043621898,0.0000416132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981411,0.00017164055,0.00065766845,0.0003390432,0.00041616661,0.0002743897],"domain_scores_gemma":[0.9987414,0.00037644085,0.00015466561,0.0004477985,0.00018763234,0.000092056114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007950447,0.00033929857,0.0005897643,0.0000333506,0.00028062376,0.00053041195,0.00039860015,0.00038058637,0.000090521586],"category_scores_gemma":[0.00011348828,0.00024063783,0.00033068852,0.000103460276,0.00014692552,0.00041254613,0.00015480933,0.0005748922,0.0000021484586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010763494,0.000036976973,0.000008949509,0.0006965919,0.00013793344,8.003479e-7,0.0111784395,0.00009105926,0.00001109212,0.9866535,0.00016285223,0.0009141522],"study_design_scores_gemma":[0.0025929727,0.000027003094,0.000044442673,0.000079366146,0.00028477734,0.000010080836,0.0018104316,0.0081771435,0.00031587775,0.9857802,0.0005385914,0.00033913247],"about_ca_topic_score_codex":0.000079195255,"about_ca_topic_score_gemma":0.000083222396,"teacher_disagreement_score":0.35576952,"about_ca_system_score_codex":0.000074976415,"about_ca_system_score_gemma":0.0001068151,"threshold_uncertainty_score":0.9812926},"labels":[],"label_agreement":null},{"id":"W2996001602","doi":"10.1007/jhep07(2020)035","title":"Bootstrapping massive quantum field theories","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Abdus Salam International Centre for Theoretical Physics; Institut Périmètre de physique théorique; ICTP South American Institute for Fundamental Research; National Centres of Competence in Research SwissMAP; École Polytechnique Fédérale de Lausanne; Simons Foundation; National Science Foundation","keywords":"Unitarity; Quantum field theory; Charge (physics); Field (mathematics); Matrix (chemical analysis); Quantum; S-matrix; Unitary state; Spacetime; Spectrum (functional analysis)","score_opus":0.024446954761861154,"score_gpt":0.25713852946394866,"score_spread":0.2326915747020875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996001602","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28373808,0.00024581523,0.7081096,0.004480671,0.0020129196,0.000047912163,0.0000029843018,0.000045677956,0.0013163129],"genre_scores_gemma":[0.9964571,0.000034690616,0.00057385373,0.0009625824,0.0019247007,8.517245e-7,4.3923978e-7,0.000019556184,0.000026216163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999073,0.000041343377,0.00034796997,0.00009445798,0.00029529558,0.00014788729],"domain_scores_gemma":[0.9988835,0.00028897807,0.00042361623,0.00012004982,0.00014929098,0.0001345792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000054752665,0.00013499678,0.0003308663,0.000017982977,0.00006296959,0.000036455076,0.00023855852,0.00006747495,0.000049961815],"category_scores_gemma":[0.00018657082,0.00010303926,0.00017764917,0.00011663003,0.000028102595,0.00015963231,0.0000482029,0.00021575762,9.595092e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067782545,0.000023913497,0.000007870796,0.00001768598,0.000103883074,0.000021674454,0.00037144448,0.00024311138,0.0001302362,0.9961563,0.0021317992,0.0007243312],"study_design_scores_gemma":[0.00038681354,0.00028482836,0.000007075252,0.000032316177,0.000053361455,0.000007953908,0.00015694939,0.00019944724,0.010723202,0.98729974,0.0007331587,0.00011516205],"about_ca_topic_score_codex":0.000010336292,"about_ca_topic_score_gemma":3.9561164e-7,"teacher_disagreement_score":0.712719,"about_ca_system_score_codex":0.000017854918,"about_ca_system_score_gemma":0.000079166544,"threshold_uncertainty_score":0.4201819},"labels":[],"label_agreement":null},{"id":"W2996438802","doi":"10.4171/dm/889","title":"Derived equivalences between skew-gentle algebras using orbifolds","year":2022,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; Bishop's University","funders":"Agence Nationale de la Recherche; Université de Sherbrooke","keywords":"Bijection; Mathematics; Pure mathematics; Skew; Orbifold; Algebra over a field; Combinatorics; Computer science","score_opus":0.0901250163243417,"score_gpt":0.35054283047185636,"score_spread":0.26041781414751464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996438802","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918944,0.00012578563,0.0037610128,0.0002124835,0.00061939366,0.00057777466,0.000029291183,0.00017945608,0.0026003965],"genre_scores_gemma":[0.9849155,0.000005024029,0.013997873,0.000111675625,0.00023159912,0.00010803645,0.000014051376,0.00007203866,0.0005442234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973127,0.00018412682,0.0006338633,0.00043141845,0.00090845284,0.0005294181],"domain_scores_gemma":[0.99839914,0.00042449063,0.00032753102,0.00065567193,0.000039818202,0.00015333536],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005137254,0.00032090384,0.0005405445,0.000118536176,0.00068857195,0.0001256231,0.0007460743,0.00007300044,0.006970381],"category_scores_gemma":[0.000109945075,0.0002974467,0.00020706515,0.00031599446,0.000082497376,0.00022887746,0.0007760604,0.00027880643,0.000042107855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017387834,0.00016609851,0.00050928124,0.00017905909,0.00023576974,0.000014790048,0.002207463,0.000012142175,0.0016367631,0.99281347,0.0018609449,0.00034684633],"study_design_scores_gemma":[0.0005469508,0.00010724593,0.000045152163,0.00003542212,0.00018646043,0.00003278176,0.0010738869,0.00025474513,0.0028465285,0.99367744,0.0008285353,0.0003648358],"about_ca_topic_score_codex":0.00004427182,"about_ca_topic_score_gemma":0.0000010926568,"teacher_disagreement_score":0.01023686,"about_ca_system_score_codex":0.00023609115,"about_ca_system_score_gemma":0.00008239127,"threshold_uncertainty_score":0.9999478},"labels":[],"label_agreement":null},{"id":"W2996458942","doi":"10.1016/j.aim.2024.109656","title":"Laurent polynomial mirrors for quiver flag zero loci","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Quiver; Flag (linear algebra); Zero (linguistics); Laurent polynomial; Mathematics; Polynomial; Combinatorics; Pure mathematics; Physics; Algebra over a field; Mathematical analysis; Linguistics; Philosophy","score_opus":0.03481225199071008,"score_gpt":0.34833421766449185,"score_spread":0.31352196567378177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996458942","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52403575,0.02843445,0.4051649,0.0012023466,0.015441348,0.0049428353,0.00014421676,0.0014235823,0.019210586],"genre_scores_gemma":[0.90182483,0.00037020133,0.095051974,0.000071410854,0.0003812137,0.00022129834,0.000011631593,0.000120215605,0.0019472225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985235,0.000020786658,0.00049958477,0.00031672767,0.0002746424,0.00036481174],"domain_scores_gemma":[0.99858534,0.00086792425,0.000099267185,0.00033965218,0.00004455482,0.000063266205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026946657,0.0002517929,0.00038747836,0.0001123884,0.00006600035,0.00006908412,0.0002934998,0.00013068401,0.00011105557],"category_scores_gemma":[0.0002653349,0.00020732291,0.00016963665,0.00020460418,0.000070253205,0.00028191236,0.00007185782,0.00018780527,0.000024871877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019979883,0.00008855265,0.000016916107,0.0012146966,0.000034431134,0.000009053648,0.0020557682,0.000048606507,0.000041874177,0.98877466,0.003650607,0.0040448657],"study_design_scores_gemma":[0.00040890215,0.00005627606,0.000003850459,0.00025492546,0.000047485253,0.000008437135,0.00030306788,0.004313922,0.00037007773,0.9635387,0.030448234,0.00024610764],"about_ca_topic_score_codex":0.0000043504097,"about_ca_topic_score_gemma":0.000028755103,"teacher_disagreement_score":0.37778908,"about_ca_system_score_codex":0.00010818735,"about_ca_system_score_gemma":0.000050034545,"threshold_uncertainty_score":0.8454383},"labels":[],"label_agreement":null},{"id":"W2997725451","doi":"10.1007/jhep11(2022)049","title":"Causal diamonds, cluster polytopes and scattering amplitudes","year":2022,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Istituto Nazionale di Fisica Nucleare; Chinese Academy of Sciences; National Natural Science Foundation of China; Canada Research Chairs","keywords":"Polytope; Tree (set theory); Physics; Combinatorics; Algorithm; Mathematics","score_opus":0.017522189087675815,"score_gpt":0.24927579693711888,"score_spread":0.23175360784944307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2997725451","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96554583,0.0003135747,0.032394096,0.00036955898,0.0011720422,0.000030403098,0.0000045641873,0.000014827754,0.00015511591],"genre_scores_gemma":[0.9978507,0.000024590801,0.0010117658,0.00024213895,0.0007168485,0.0000037646976,9.0060365e-7,0.000023899529,0.00012535966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990643,0.0000628567,0.00028571553,0.00009992549,0.00033703932,0.00015014817],"domain_scores_gemma":[0.99930686,0.00013795246,0.00029584797,0.00013749932,0.00005509543,0.00006675411],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012734644,0.000120178935,0.00027020357,0.000042504023,0.00017139078,0.00004446857,0.00018368737,0.000025441026,0.00003881939],"category_scores_gemma":[0.000014986719,0.00010055072,0.000086654734,0.00008479544,0.00003493686,0.0001350263,0.00022050977,0.00019600391,1.5191438e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000445143,0.00005634282,0.00012765694,0.000012771211,0.000084012056,0.000012696439,0.00024532928,0.00033038633,0.0002359967,0.99603355,0.0011078762,0.00170886],"study_design_scores_gemma":[0.00050708145,0.00015164127,0.00027311913,0.000011885086,0.00004755044,0.00009080554,0.00008372734,0.00002670809,0.0008480898,0.9965193,0.0013235599,0.00011649301],"about_ca_topic_score_codex":0.00004818014,"about_ca_topic_score_gemma":0.0000028206712,"teacher_disagreement_score":0.032304913,"about_ca_system_score_codex":0.000051193,"about_ca_system_score_gemma":0.000037373367,"threshold_uncertainty_score":0.41003394},"labels":[],"label_agreement":null},{"id":"W2997969340","doi":"10.1007/s11856-025-2865-4","title":"Quantum webs of type Q","year":2025,"lang":"en","type":"preprint","venue":"Israel Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lockheed Martin (Canada)","funders":"","keywords":"Dual polyhedron; Type (biology); Mathematics; Pure mathematics; Quantum; Surjective function; Functor; Symmetric monoidal category; Monoidal category; Representation theory; Enriched category; Quantum group; Representation (politics); Subcategory; Discrete mathematics; Algebra over a field; Physics; Quantum mechanics","score_opus":0.05775194119400786,"score_gpt":0.3399702640149347,"score_spread":0.28221832282092685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2997969340","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9684303,0.0020344837,0.016353346,0.00027197917,0.007889288,0.00048006116,0.000041260588,0.000043917415,0.0044553885],"genre_scores_gemma":[0.90958416,0.0005014706,0.08790147,0.000069364454,0.0007780394,0.0000044505978,0.0000028453503,0.00007939097,0.0010787783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968185,0.00009070975,0.001875469,0.00017775735,0.0008027194,0.00023483842],"domain_scores_gemma":[0.99428517,0.0008350413,0.0029016885,0.0007621117,0.0011136999,0.00010230519],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00088287453,0.00037201957,0.001453041,0.00030372004,0.00003937197,0.00004373714,0.0010461649,0.00047114666,0.00006299491],"category_scores_gemma":[0.0014262694,0.0002930467,0.0005688747,0.00019596655,0.00008280926,0.00004579161,0.0005676381,0.0009882477,0.000003191205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050539773,0.00039078307,0.000058643072,0.0037341183,0.00060744263,0.000020004174,0.0015488856,0.00019391121,0.000056238863,0.98923516,0.0037997195,0.00030454565],"study_design_scores_gemma":[0.0004738022,0.00015526717,0.000008581557,0.0023639956,0.0005213192,0.00005827266,0.00073917536,0.0010839212,0.0007259426,0.99330664,0.00033665364,0.00022644192],"about_ca_topic_score_codex":0.000007918806,"about_ca_topic_score_gemma":0.0000019780691,"teacher_disagreement_score":0.07154812,"about_ca_system_score_codex":0.00008944181,"about_ca_system_score_gemma":0.00065365544,"threshold_uncertainty_score":0.99995214},"labels":[],"label_agreement":null},{"id":"W2998563048","doi":"10.1103/physrevd.107.066015","title":"Binary geometries, generalized particles and strings, and cluster algebras","year":2023,"lang":"en","type":"article","venue":"Physical review. D/Physical review. D.","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Division of Mathematical Sciences; National Science Foundation; Thousand Young Talents Program of China; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Canada Research Chairs","keywords":"Generalization; Factorization; Scattering amplitude; Realization (probability); String (physics); Physics; String theory; Binary number; Dimension (graph theory); Space (punctuation); Diagram; Theoretical physics; Pure mathematics; Mathematics; Scattering; Mathematical physics; Quantum mechanics; Mathematical analysis; Computer science","score_opus":0.035499839368004146,"score_gpt":0.4224081186210776,"score_spread":0.3869082792530734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2998563048","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93652636,0.058867253,0.000012986372,0.002805368,0.00014714643,0.0011845271,0.000016763533,0.00022082278,0.0002187874],"genre_scores_gemma":[0.77230376,0.22390941,0.00022495264,0.0024582455,0.00066270574,0.00024146332,0.000025298188,0.000086812564,0.00008734915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968684,0.0002901354,0.0006911152,0.0007897143,0.0006927782,0.0006678894],"domain_scores_gemma":[0.9971425,0.0012781753,0.0003050666,0.00072494993,0.00012434169,0.0004249665],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00061529275,0.00055325025,0.0017340224,0.00007944627,0.00019783131,0.00007812179,0.00034746915,0.00006385409,0.000022373839],"category_scores_gemma":[0.0017790865,0.000410301,0.00040382988,0.001253697,0.00021854363,0.0002544456,0.00057035737,0.00040596945,0.00012910768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034245302,0.00031898424,0.0008664493,0.013184465,0.00018029523,0.000019126177,0.00015516956,0.0000013548821,0.0031671387,0.92487395,0.024519607,0.032679215],"study_design_scores_gemma":[0.0006387713,0.00018399721,0.0014844433,0.0039280513,0.00058275077,0.000009164544,0.000008947377,0.0009001004,0.00090023497,0.97455746,0.01625221,0.0005538598],"about_ca_topic_score_codex":0.000015707095,"about_ca_topic_score_gemma":0.0000011052056,"teacher_disagreement_score":0.16504215,"about_ca_system_score_codex":0.00003977716,"about_ca_system_score_gemma":0.000047204212,"threshold_uncertainty_score":0.9998349},"labels":[],"label_agreement":null},{"id":"W2999346450","doi":"10.4153/s0008414x20000012","title":"Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type","year":2020,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Lyon; Agence Nationale de la Recherche","keywords":"Unicode; Mathematics; Lattice (music); Lie algebra; Bounded function; Pure mathematics; Simple (philosophy); Type (biology); Algebra over a field; Physics; Mathematical analysis; Computer science","score_opus":0.06155150421885358,"score_gpt":0.2830285977324538,"score_spread":0.22147709351360023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2999346450","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99609166,0.00017266591,0.0025189363,0.0003518254,0.00022788289,0.00012466707,0.000016372614,0.0000059958725,0.0004900045],"genre_scores_gemma":[0.9887402,0.000009099367,0.010958111,0.000072287956,0.0001705389,6.57577e-7,0.0000013183973,0.000029729188,0.000018039504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985222,0.000039568768,0.00083435286,0.000094283,0.00032056225,0.00018902314],"domain_scores_gemma":[0.9977143,0.0002594484,0.0009542947,0.00024770378,0.00045035998,0.00037392942],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026106942,0.00014389268,0.0005044801,0.00011480579,0.00004139917,0.000019862957,0.0003618788,0.00011355805,0.00021510036],"category_scores_gemma":[0.0012365027,0.00012325699,0.00014450234,0.00025417624,0.00009375731,0.00010551489,0.000019470697,0.0001943514,0.0000031896586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026440544,0.00006266864,0.001009767,0.0006535724,0.00017441009,0.000013628557,0.0050696917,0.000045173176,0.0015950163,0.98697627,0.0040539624,0.00031941128],"study_design_scores_gemma":[0.0005502482,0.00029354027,0.001271778,0.00016405575,0.00018655011,0.000029184768,0.0012871338,0.0020017226,0.0020638849,0.9913453,0.00064998673,0.00015660095],"about_ca_topic_score_codex":0.00013062278,"about_ca_topic_score_gemma":0.00029304874,"teacher_disagreement_score":0.008439175,"about_ca_system_score_codex":0.000054670832,"about_ca_system_score_gemma":0.0005631155,"threshold_uncertainty_score":0.50262743},"labels":[],"label_agreement":null},{"id":"W3000405528","doi":"10.15446/recolma.v53nsupl.84006","title":"Graded modules over simple Lie algebras","year":2019,"lang":"en","type":"article","venue":"Revista Colombiana de Matemáticas","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Hashemite University; Natural Sciences and Engineering Research Council of Canada; University of Jordan","keywords":"Simple (philosophy); Mathematics; Simple module; Lie algebra; Pure mathematics; Algebra over a field; Graded Lie algebra; Affine Lie algebra; Connection (principal bundle); Dimension (graph theory); Lie conformal algebra; Geometry; Current algebra","score_opus":0.021243669868497336,"score_gpt":0.29384617563574444,"score_spread":0.2726025057672471,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3000405528","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9949098,0.00032825474,0.00022914105,0.00014561674,0.00033420188,0.000625516,0.000011549901,0.00022956911,0.0031863372],"genre_scores_gemma":[0.9969538,0.000036379068,0.00093532744,0.00033392783,0.00016407899,0.000032488864,0.00001095698,0.000083295585,0.0014497441],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99782866,0.00013276216,0.00051557034,0.00046831122,0.00041945846,0.00063521106],"domain_scores_gemma":[0.9982241,0.0003743874,0.00020857582,0.0008894356,0.00008219866,0.00022132297],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036541076,0.00032617638,0.0006145132,0.00008356698,0.00011852277,0.00024346955,0.0004541397,0.00022481257,0.0019678662],"category_scores_gemma":[0.00028626496,0.00030159965,0.00021609008,0.00026009686,0.000066096436,0.00013856853,0.00017111834,0.0002606034,0.00032314466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034633624,0.00006838127,0.002329139,0.00035829944,0.000078914025,0.000019124749,0.0001288414,0.0000028865627,0.00066171365,0.9891331,0.006886803,0.0002981704],"study_design_scores_gemma":[0.00086259673,0.000118631484,0.003385786,0.00009593101,0.00009392961,0.000027331282,0.000085744185,0.00045217527,0.0006467455,0.980198,0.013604524,0.00042855158],"about_ca_topic_score_codex":0.00005081898,"about_ca_topic_score_gemma":0.000005855472,"teacher_disagreement_score":0.008935039,"about_ca_system_score_codex":0.00020168377,"about_ca_system_score_gemma":0.00009267171,"threshold_uncertainty_score":0.9999436},"labels":[],"label_agreement":null},{"id":"W3001468403","doi":"10.1007/s00209-023-03258-x","title":"Exceptional collections for mirrors of invertible polynomials","year":2023,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Invertible matrix; Mathematics; Equivariant map; Conjecture; Symmetry (geometry); Pure mathematics; Polynomial; Combinatorics; Matrix (chemical analysis); Algebra over a field; Mathematical analysis; Geometry","score_opus":0.11143380053671607,"score_gpt":0.3589754000313511,"score_spread":0.247541599494635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3001468403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9311326,0.00012790863,0.024275066,0.0010250715,0.0021848388,0.0025239298,0.00026412512,0.00091976015,0.03754667],"genre_scores_gemma":[0.97113824,0.000012398401,0.018024711,0.00004752753,0.0002114571,0.00034154323,0.000024807036,0.00007264465,0.010126656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985503,0.000040749477,0.000525205,0.0002499313,0.00031417084,0.00031962746],"domain_scores_gemma":[0.99834585,0.00084120635,0.00022762729,0.00035776148,0.00014660838,0.00008095968],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044607915,0.00019127982,0.000428658,0.0002445061,0.0002474512,0.000032063985,0.00024872442,0.00015029428,0.00054569764],"category_scores_gemma":[0.0006752964,0.00016886751,0.00023098524,0.00075204595,0.000068981935,0.000103232676,0.00009150032,0.0000982199,0.00007007143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027506036,0.00006277598,0.00004255354,0.00025009867,0.00008665992,5.1269683e-7,0.0005453773,0.000010448068,0.0024152652,0.91830087,0.07814637,0.000111544985],"study_design_scores_gemma":[0.0009100237,0.00010064283,0.00014957348,0.000078510915,0.000072946896,0.000007452469,0.00023627304,0.0008528871,0.011351396,0.9734947,0.012517116,0.00022847077],"about_ca_topic_score_codex":0.000028794191,"about_ca_topic_score_gemma":0.000013031374,"teacher_disagreement_score":0.06562925,"about_ca_system_score_codex":0.000006637211,"about_ca_system_score_gemma":0.000093192175,"threshold_uncertainty_score":0.68862176},"labels":[],"label_agreement":null},{"id":"W3001507502","doi":"10.48550/arxiv.2001.07584","title":"Three perspectives on categorical symmetric Howe duality","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Perimeter Institute","funders":"","keywords":"Quiver; Categorical variable; Mathematics; Categorification; Functor; Pure mathematics; Diagrammatic reasoning; Duality (order theory); Algebra over a field; Invariant (physics); Representation theory; Computer science; Mathematical physics","score_opus":0.16780179298137288,"score_gpt":0.23822660019470643,"score_spread":0.07042480721333355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3001507502","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9135129,0.00014985117,0.07252073,0.00046837292,0.0016207088,0.0007117899,0.00004249851,0.00047823813,0.01049493],"genre_scores_gemma":[0.99885285,0.00007236367,0.0002157093,0.00006151651,0.0004386907,0.0000016369466,0.000009618163,0.000053255662,0.00029435314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99769056,0.00013527583,0.0002595338,0.0013186521,0.00021464625,0.0003813381],"domain_scores_gemma":[0.9977341,0.00043567436,0.00030997975,0.0010747594,0.00018079113,0.0002646667],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017410284,0.0004925479,0.00066937896,0.00024645068,0.00016874127,0.0000726016,0.0009197699,0.00052868313,0.00014182541],"category_scores_gemma":[0.00042844124,0.0005048574,0.00044761872,0.0007539502,0.00013316592,0.00007870103,0.0010686748,0.0012325968,0.00007311281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012820221,0.00016026881,0.00026709825,0.00011392745,0.00018118139,0.00019591214,0.00054176437,0.0008997782,0.0000016875568,0.99641824,0.0010371435,0.00005479212],"study_design_scores_gemma":[0.00057192426,0.00013167765,0.0006913936,0.00002660439,0.00023134332,0.0000024765366,0.0006564943,0.0063743424,0.000022212831,0.9906749,0.000098123055,0.0005185158],"about_ca_topic_score_codex":0.00020141834,"about_ca_topic_score_gemma":0.000020454245,"teacher_disagreement_score":0.08533998,"about_ca_system_score_codex":0.00050765066,"about_ca_system_score_gemma":0.00017934063,"threshold_uncertainty_score":0.9997403},"labels":[],"label_agreement":null},{"id":"W3003585707","doi":"10.1007/s00220-021-04224-6","title":"Tau-Functions and Monodromy Symplectomorphisms","year":2021,"lang":"en","type":"preprint","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Scuola Internazionale Superiore di Studi Avanzati; National Science Foundation","keywords":"Monodromy; Symplectic geometry; Symplectomorphism; Pure mathematics; Mathematics; Symplectic manifold; Monodromy matrix; Manifold (fluid mechanics); Moment map; Hamiltonian (control theory); Mathematical analysis; Algebra over a field; Physics; Eigenvalues and eigenvectors; Quantum mechanics","score_opus":0.09801084659635731,"score_gpt":0.3486539472576811,"score_spread":0.2506431006613238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003585707","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7565275,0.0039938623,0.19973299,0.0034899958,0.0012968895,0.0030973218,0.00009695286,0.0006659539,0.031098569],"genre_scores_gemma":[0.9398773,0.0003238383,0.05886755,0.000054153767,0.00010898516,0.00037155635,0.000100727084,0.00007425386,0.00022168126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797815,0.00026043577,0.0007104532,0.00046010432,0.00029851025,0.0002923262],"domain_scores_gemma":[0.9941536,0.0014861625,0.0002738599,0.003809913,0.00016845432,0.00010798611],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030991135,0.00038064268,0.00077833206,0.000080604594,0.00021786129,0.00020079874,0.0011876469,0.00036211277,0.0000796342],"category_scores_gemma":[0.000510246,0.00038532313,0.00018837537,0.00029838597,0.00035736014,0.000109988134,0.003612334,0.0013899653,0.000014257667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000022418508,0.00042650462,0.000053195352,0.0003653448,0.00008150506,0.0000019992694,0.0011550642,0.000038321446,0.000019480809,0.99657065,0.00029406906,0.0009916405],"study_design_scores_gemma":[0.00028524184,0.0000129165055,0.000056597488,0.0004975336,0.00012951378,0.000009290741,0.0004684493,0.008763805,0.000042699638,0.989295,0.00008312153,0.0003558278],"about_ca_topic_score_codex":0.000024410594,"about_ca_topic_score_gemma":0.000020532114,"teacher_disagreement_score":0.18334979,"about_ca_system_score_codex":0.0001443611,"about_ca_system_score_gemma":0.00016622178,"threshold_uncertainty_score":0.99985987},"labels":[],"label_agreement":null},{"id":"W3003640649","doi":"10.4153/s0008439520001009","title":"Fano quiver moduli","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Quiver; Moduli space; Fano plane; Moduli; Class (philosophy); Kronecker delta","score_opus":0.050647087284847146,"score_gpt":0.25440762679168316,"score_spread":0.203760539506836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003640649","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64528614,0.00019591095,0.015985776,0.10867802,0.0007904914,0.0015285378,0.000065627886,0.0006440344,0.22682546],"genre_scores_gemma":[0.9899408,0.0000018526173,0.0037127787,0.0046938187,0.0003351963,0.000021939359,0.000003024958,0.00005322298,0.0012373676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985475,0.00004581473,0.00032564116,0.0003144218,0.00027253715,0.0004940882],"domain_scores_gemma":[0.99821055,0.00021776662,0.00006007978,0.0003208329,0.000058610498,0.0011321467],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00011898858,0.00022180304,0.00035445634,0.000047171772,0.00012166991,0.00006375526,0.00036933806,0.0001546758,0.03391446],"category_scores_gemma":[0.0009677036,0.00019718044,0.0001304515,0.00014321045,0.00008055723,0.000026779337,0.00005798066,0.000237528,0.008535035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007790101,0.000011958574,0.000008373884,0.00007951937,0.000022956201,0.000033974204,0.0004936299,0.0000013004898,0.000012222365,0.9229241,0.076178916,0.00022525093],"study_design_scores_gemma":[0.00028014966,0.00005585023,0.000011278585,0.000026377029,0.000028496805,0.000010221394,0.00011688337,0.00034085222,0.00008433612,0.91653866,0.08225679,0.00025011145],"about_ca_topic_score_codex":0.00026804177,"about_ca_topic_score_gemma":0.00009630328,"teacher_disagreement_score":0.34465465,"about_ca_system_score_codex":0.00009206166,"about_ca_system_score_gemma":0.00014361221,"threshold_uncertainty_score":0.9922369},"labels":[],"label_agreement":null},{"id":"W3003912668","doi":"","title":"Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver","year":2020,"lang":"en","type":"article","venue":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Quiver; Mathematics; Canonical coordinates; Pure mathematics; Vertex (graph theory); Action-angle coordinates; Space (punctuation); Log-polar coordinates; Canonical form; Mathematical analysis; Orthogonal coordinates; Combinatorics; Phase space; Physics","score_opus":0.0841075674789511,"score_gpt":0.279135202584749,"score_spread":0.1950276351057979,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003912668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9354498,0.00018709087,0.0075372863,0.053762794,0.0000775338,0.0011881213,0.00029176206,0.00006490538,0.0014407216],"genre_scores_gemma":[0.99515647,0.00022531382,0.0010869509,0.000051279803,0.00005876835,3.4203875e-8,0.000022935932,0.000019905101,0.00337835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.99744356,0.0004921213,0.00015493896,0.0004264424,0.0009264863,0.0005564263],"domain_scores_gemma":[0.9950642,0.0029020277,0.00038672358,0.00065057544,0.00078782096,0.00020864978],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0009438058,0.00025241234,0.0006019045,0.00014146029,0.0015194212,0.00001898381,0.0025746014,0.00029091933,0.00036427876],"category_scores_gemma":[0.00025531612,0.00019833862,0.00042540242,0.00094700104,0.0026011644,0.0002029719,0.0009017483,0.0009941688,0.0000038426747],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.022194965,0.0029394343,0.010778883,0.0012640404,0.0088714305,0.0004271343,0.22533464,0.005519995,0.003305135,0.5119049,0.20314617,0.0043132515],"study_design_scores_gemma":[0.021823535,0.0055760904,0.03214842,0.0008468108,0.003676621,0.000023020648,0.79646105,0.022215353,0.0005918603,0.034734435,0.08013467,0.0017681506],"about_ca_topic_score_codex":0.004703143,"about_ca_topic_score_gemma":0.007970767,"teacher_disagreement_score":0.5711264,"about_ca_system_score_codex":0.00017490351,"about_ca_system_score_gemma":0.00043178565,"threshold_uncertainty_score":0.9997805},"labels":[],"label_agreement":null},{"id":"W3004685643","doi":"10.48550/arxiv.2002.03180","title":"Tensor Categories arising from the Virasoro Algebra","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Virasoro algebra; Central charge; Pure mathematics; Vertex (graph theory); Vertex operator algebra; Mathematics; Fusion rules; Tensor (intrinsic definition); Tensor algebra; Rigidity (electromagnetism); Simple (philosophy); Tensor product; Algebra over a field; Physics; Current algebra; Fusion; Combinatorics; Algebra representation; Cellular algebra; Conformal map; Geometry; Quantum mechanics; Graph; Division algebra; Jordan algebra","score_opus":0.13028694236247768,"score_gpt":0.21391205623020984,"score_spread":0.08362511386773216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3004685643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96394235,0.00016097764,0.030638447,0.00073433697,0.001880399,0.00048563,0.00007150514,0.00031874113,0.0017675974],"genre_scores_gemma":[0.99799114,0.00008363863,0.0004045694,0.0003034436,0.0006918994,0.0000014217339,0.00003432952,0.00006141213,0.00042813434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981115,0.0001794208,0.00028282485,0.0009269988,0.00015428828,0.0003449557],"domain_scores_gemma":[0.9974306,0.0007470602,0.00035992576,0.0011844375,0.00012560847,0.0001523258],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00012352433,0.00045908344,0.00055744743,0.000047280762,0.00031113724,0.00015501633,0.0012972723,0.00044186952,0.00019618432],"category_scores_gemma":[0.0002718466,0.00038171795,0.00034707756,0.00026531325,0.00019024155,0.00011518435,0.0014628104,0.0010673937,0.0000572043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063847176,0.000030155556,0.0011274783,0.000047253077,0.0003070706,0.00010321861,0.0009257757,0.0012759442,0.000020810154,0.99393296,0.0020901167,0.000075386226],"study_design_scores_gemma":[0.00040781868,0.000024683459,0.0007118506,0.00006663737,0.0004085484,0.0000013780522,0.00063085486,0.0048552305,0.00012237902,0.99162793,0.0007043491,0.00043836024],"about_ca_topic_score_codex":0.0008172528,"about_ca_topic_score_gemma":0.00006211727,"teacher_disagreement_score":0.034048785,"about_ca_system_score_codex":0.00015452554,"about_ca_system_score_gemma":0.00017940953,"threshold_uncertainty_score":0.99986345},"labels":[],"label_agreement":null},{"id":"W3005666692","doi":"10.1007/s00208-021-02159-w","title":"Tensor categories of affine Lie algebras beyond admissible levels","year":2021,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Affine Lie algebra; Subcategory; Algebra over a field; Verma module; Cartan subalgebra; Vertex operator algebra; Semisimple Lie algebra; Fundamental representation; Subalgebra; Lie algebra","score_opus":0.06610921406438841,"score_gpt":0.31680705467257264,"score_spread":0.25069784060818423,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3005666692","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9692724,0.0026882552,0.0029717912,0.0015696116,0.0005757439,0.00039351158,0.00006512725,0.00019843264,0.022265133],"genre_scores_gemma":[0.9689326,0.00007112634,0.020909736,0.00015332407,0.00025725606,0.00003257513,0.0000132272025,0.000074838565,0.009555295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980489,0.00007750249,0.00063755945,0.00036797667,0.00048898475,0.00037905236],"domain_scores_gemma":[0.99801576,0.00037503932,0.0003079865,0.0007744282,0.0003804305,0.00014638115],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00028490325,0.0003003694,0.00067726866,0.00008129291,0.00011301579,0.00005579329,0.00035597547,0.00018290216,0.0027923852],"category_scores_gemma":[0.00079966756,0.00025537514,0.00022214992,0.00035225853,0.0000921141,0.0001793517,0.00022027496,0.00021027279,0.00005147735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016990774,0.00018099282,0.00013306373,0.00048188667,0.00017675213,0.00003228858,0.0011513026,0.0000015181054,0.0031239747,0.98397326,0.008999668,0.0017282675],"study_design_scores_gemma":[0.0004938414,0.00006022902,0.0002870687,0.00010769249,0.000098228025,0.00006302979,0.00033364835,0.00003279283,0.085484296,0.90962255,0.0031459376,0.00027068978],"about_ca_topic_score_codex":0.000008631095,"about_ca_topic_score_gemma":0.000010696897,"teacher_disagreement_score":0.08236033,"about_ca_system_score_codex":0.0000220405,"about_ca_system_score_gemma":0.0002084693,"threshold_uncertainty_score":0.99998987},"labels":[],"label_agreement":null},{"id":"W3005771079","doi":"10.1007/jhep06(2020)113","title":"Conformal symmetry and composite operators in the O(N )3 tensor field theory","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Fixed point; Ising model; Infrared fixed point; Renormalization group; Primary field; Scaling dimension; Unitarity; Conformal symmetry; Conformal map; Conformal field theory","score_opus":0.015780508175939987,"score_gpt":0.24326159215976628,"score_spread":0.2274810839838263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3005771079","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98499876,0.00017229487,0.012662137,0.0013169879,0.000273796,0.00003574881,0.000001285104,0.000006270117,0.0005326899],"genre_scores_gemma":[0.99615455,0.000033246815,0.00044011886,0.0028050311,0.0005462868,8.2885254e-7,3.4124554e-7,0.000009645464,0.000009960336],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992449,0.00008815136,0.00027772892,0.00006468382,0.00021457185,0.00010990893],"domain_scores_gemma":[0.9991888,0.0004268641,0.00017247794,0.00009282997,0.00006109163,0.000057937752],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015902227,0.000102409846,0.00024045054,0.000019797944,0.000050002775,0.000043107277,0.00022054608,0.000051051207,0.000008835831],"category_scores_gemma":[0.00006765947,0.000060621278,0.000068934496,0.0001156014,0.000028656215,0.00013024185,0.000044061522,0.00023815238,3.1233765e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008704534,0.000026367876,0.000110357636,0.000012353586,0.00003979142,0.000017137389,0.00085901277,0.000038827304,0.000045541354,0.9966418,0.0005231055,0.0015986331],"study_design_scores_gemma":[0.00058772124,0.00022986623,0.00019470969,0.000021073443,0.000037057525,0.00002862018,0.00034645043,0.00009378227,0.0023001896,0.9957522,0.00032801492,0.00008031197],"about_ca_topic_score_codex":0.000011621935,"about_ca_topic_score_gemma":7.3594043e-7,"teacher_disagreement_score":0.012222018,"about_ca_system_score_codex":0.000008908457,"about_ca_system_score_gemma":0.000027322243,"threshold_uncertainty_score":0.2472064},"labels":[],"label_agreement":null},{"id":"W3006009662","doi":"10.5802/alco.84","title":"On graded presentations of Hecke algebras and their generalizations","year":2020,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; Innovation, Science and Economic Development Canada; National Science Foundation","keywords":"Mathematics; Affine transformation; Pure mathematics; Type (biology); Hecke algebra; Hecke operator; Algebra over a field","score_opus":0.05195532986268597,"score_gpt":0.2813732724655415,"score_spread":0.22941794260285553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3006009662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99041194,0.00026934856,0.0048312717,0.0015052236,0.00056365685,0.00046893195,0.000015303165,0.0001635951,0.0017707519],"genre_scores_gemma":[0.99890673,0.000050723833,0.00020880057,0.0005076775,0.00009287736,0.000029104027,0.000015334683,0.000051689807,0.00013705833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984389,0.00010315693,0.0004784281,0.00038236062,0.00032625027,0.0002709203],"domain_scores_gemma":[0.9983163,0.0006674658,0.00023048118,0.00039836668,0.00015234957,0.00023504932],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00010230537,0.0002844499,0.0004429357,0.00009342981,0.00018084052,0.000041243708,0.0003174439,0.00013693953,0.00011207772],"category_scores_gemma":[0.0006327563,0.0002498099,0.00012710188,0.00061859924,0.00015547304,0.00011787756,0.00015803092,0.00022289321,0.000008604882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018242425,0.00011911739,0.00060716114,0.00007072882,0.000079046724,0.0000018019123,0.0014937358,0.000014477909,0.00015767537,0.9910159,0.0062816576,0.00014044053],"study_design_scores_gemma":[0.0010028125,0.0002465222,0.00047270727,0.000015054379,0.000049888535,0.000004049509,0.0002716795,0.00061609433,0.0033845906,0.9932497,0.00044012786,0.00024678558],"about_ca_topic_score_codex":0.000013942954,"about_ca_topic_score_gemma":0.0000013385009,"teacher_disagreement_score":0.008494817,"about_ca_system_score_codex":0.0000186754,"about_ca_system_score_gemma":0.00006531107,"threshold_uncertainty_score":0.9999954},"labels":[],"label_agreement":null},{"id":"W3006051209","doi":"10.2140/agt.2023.23.2975","title":"Detecting isomorphisms in the homotopy category","year":2023,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Homotopy category; Homotopy; Pure mathematics; Model category; Homotopy hypothesis; Combinatorics; Homotopy sphere","score_opus":0.04871800629789954,"score_gpt":0.3116464475944347,"score_spread":0.2629284412965352,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3006051209","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99281985,0.00032262542,0.00055559253,0.0017186352,0.0015918625,0.00041176993,0.0000021798007,0.00023924519,0.0023382735],"genre_scores_gemma":[0.99835014,0.00004827415,0.00016097246,0.0005455491,0.00032081612,0.00010113384,0.000005129733,0.000038386574,0.000429582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99765855,0.0002796126,0.0004938542,0.00042841994,0.00038751905,0.0007520164],"domain_scores_gemma":[0.99623793,0.0028183048,0.00016472313,0.0006591522,0.00005078211,0.000069123795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012009249,0.0002512825,0.00041649255,0.001187025,0.00023057443,0.000044441706,0.00078283664,0.00026007774,0.00033638917],"category_scores_gemma":[0.0018309319,0.00018461436,0.00014135319,0.005463877,0.00016035675,0.00008603766,0.00020221552,0.00051476096,0.00020467235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016055763,0.00006253115,0.0024566294,0.000030791998,0.00004331758,0.00011608139,0.0016956081,0.000011316694,0.000045246536,0.9814914,0.0039095255,0.010121493],"study_design_scores_gemma":[0.00061801303,0.00014521983,0.01028809,0.00000621898,0.00002727684,0.00009023264,0.0013310895,0.000079720674,0.00019594662,0.98582333,0.0011721866,0.00022267176],"about_ca_topic_score_codex":0.00035934517,"about_ca_topic_score_gemma":0.00008908304,"teacher_disagreement_score":0.009898821,"about_ca_system_score_codex":0.00006965222,"about_ca_system_score_gemma":0.00006132766,"threshold_uncertainty_score":0.75283545},"labels":[],"label_agreement":null},{"id":"W3006783142","doi":"10.1007/s00220-021-03992-5","title":"Poisson-geometric Analogues of Kitaev Models","year":2021,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Studienstiftung des Deutschen Volkes; Friedrich-Alexander-Universität Erlangen-Nürnberg; Government of Canada","keywords":"Poisson distribution; Vertex (graph theory); Algorithm; Combinatorics; Mathematics; Graph; Statistics","score_opus":0.15601034057705812,"score_gpt":0.3682347426252823,"score_spread":0.21222440204822415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3006783142","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39266047,0.0035395268,0.47516116,0.0018141358,0.0003273779,0.0010093646,0.000052713283,0.00027397016,0.12516129],"genre_scores_gemma":[0.9186071,0.00015533346,0.08100575,0.000033092096,0.000030711428,0.00003181534,0.000015948533,0.000025571191,0.00009468632],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985253,0.00016263162,0.0006126912,0.00018840462,0.00030123602,0.00020973431],"domain_scores_gemma":[0.99550253,0.0016813965,0.0001828338,0.002321126,0.00025351843,0.00005857105],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029655074,0.00015788198,0.00048000205,0.000099379795,0.00007792393,0.00002448446,0.00090368843,0.000101020305,0.000051685332],"category_scores_gemma":[0.00081952213,0.00015089978,0.00015040424,0.0012280963,0.00018990904,0.00015554138,0.00056274334,0.000290148,0.000012247921],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023712955,0.00057146547,0.00004291514,0.00012191021,0.00003242166,0.0000010264234,0.00054460135,0.0000931684,0.000071223396,0.99714696,0.00013511705,0.0012368341],"study_design_scores_gemma":[0.000277171,0.000014404867,0.00004639247,0.00011769218,0.00003780462,0.0000033575495,0.00027434947,0.01149777,0.0011436348,0.98640525,0.000039169616,0.00014301727],"about_ca_topic_score_codex":0.0000064352457,"about_ca_topic_score_gemma":0.000005033121,"teacher_disagreement_score":0.5259466,"about_ca_system_score_codex":0.000056053686,"about_ca_system_score_gemma":0.00008418002,"threshold_uncertainty_score":0.61535144},"labels":[],"label_agreement":null},{"id":"W3007758814","doi":"10.4171/cmh/500","title":"Essential dimension of representations of algebras","year":2020,"lang":"en","type":"preprint","venue":"Commentarii Mathematici Helvetici","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Functor; Mathematics; Isomorphism (crystallography); Type (biology); Bounded function; Dimension (graph theory); Invariant (physics); Combinatorics; Field (mathematics); Representation (politics); Quadratic growth; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.06202334348568838,"score_gpt":0.34530952500331535,"score_spread":0.28328618151762697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007758814","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96592844,0.00027594843,0.025264576,0.0021407339,0.0015923767,0.0020322353,0.00016669408,0.00015497704,0.0024440114],"genre_scores_gemma":[0.97487867,0.00003759672,0.024431651,0.00013506868,0.0001688724,0.00008604682,0.000102091486,0.00009896709,0.00006101388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99611795,0.00020517285,0.0018708974,0.0005948567,0.0008754832,0.00033566362],"domain_scores_gemma":[0.9952408,0.0010248993,0.0017802578,0.0015039074,0.00028903657,0.00016111243],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033481364,0.000534843,0.0016214724,0.00017634136,0.00008822722,0.000036250738,0.00091251713,0.0003730568,0.00066303764],"category_scores_gemma":[0.0005892958,0.00050123566,0.0005717264,0.00022697,0.0002565935,0.000063533036,0.0019525836,0.00063808257,0.0000099545205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011526338,0.0011195373,0.000058249236,0.0041740397,0.0008321977,0.0000067301557,0.0066692876,0.000046021974,0.0045419284,0.97398955,0.008250881,0.00019631155],"study_design_scores_gemma":[0.0013081579,0.00020702073,0.000029177674,0.0007948376,0.00082172576,0.0000049749938,0.00072260585,0.0013462726,0.044735666,0.9496161,0.00004767819,0.00036577924],"about_ca_topic_score_codex":0.00018601013,"about_ca_topic_score_gemma":0.000009739051,"teacher_disagreement_score":0.04019374,"about_ca_system_score_codex":0.00008041284,"about_ca_system_score_gemma":0.0001713859,"threshold_uncertainty_score":0.99974394},"labels":[],"label_agreement":null},{"id":"W3007853335","doi":"10.4310/arkiv.2021.v59.n2.a6","title":"A Riemann–Roch type theorem for twisted fibrations of moment graphs","year":2021,"lang":"sv","type":"preprint","venue":"Arkiv för matematik","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Riemann hypothesis; Pure mathematics; Moment (physics); Physics; Quantum mechanics","score_opus":0.038150780012252625,"score_gpt":0.30162543550851817,"score_spread":0.26347465549626553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007853335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94940406,0.0019034222,0.025012642,0.00081005564,0.0074890885,0.0073241596,0.00038403884,0.00025635905,0.0074161454],"genre_scores_gemma":[0.9835769,0.0002641723,0.01286851,0.00009910851,0.0002489253,0.0004703574,0.00042657583,0.00017562536,0.0018698154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950746,0.00031723708,0.0021352973,0.0009901425,0.0008243208,0.0006583454],"domain_scores_gemma":[0.9937237,0.0010015961,0.0017096645,0.00207418,0.0012855905,0.00020529026],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007779022,0.00087656954,0.0019798423,0.00023982096,0.00025672786,0.00028163995,0.00090494193,0.0007907447,0.0011070906],"category_scores_gemma":[0.0006123743,0.0008040691,0.0009009196,0.0005231153,0.00024984527,0.00015974577,0.0007798812,0.0005206273,0.000033892975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015167631,0.0003934822,0.000033543078,0.013095283,0.0012116685,0.000006344038,0.006786721,0.00038347728,0.00087880506,0.9747783,0.0021676628,0.000113024216],"study_design_scores_gemma":[0.0011368272,0.00026608506,0.0001610311,0.002646119,0.0008898974,0.000012150785,0.0024159302,0.0031661014,0.0045406483,0.98347706,0.0005151651,0.0007729638],"about_ca_topic_score_codex":0.00006647286,"about_ca_topic_score_gemma":0.000024072673,"teacher_disagreement_score":0.03417282,"about_ca_system_score_codex":0.00015312462,"about_ca_system_score_gemma":0.000513929,"threshold_uncertainty_score":0.99980605},"labels":[],"label_agreement":null},{"id":"W3008550111","doi":"10.5539/jmr.v12n2p17","title":"Hopfian and Cohopfian Objects in the Categories of Gr(A - Mod) and COMP(Gr(A - Mod))","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mod; Mathematics; Invariant (physics); Injective function; Combinatorics; Discrete mathematics","score_opus":0.23065733044088121,"score_gpt":0.4136592394439441,"score_spread":0.1830019090030629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008550111","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9950769,0.00055184646,0.00041932892,0.002560356,0.00007306182,0.00034464448,0.0000034675681,0.000005952046,0.0009644521],"genre_scores_gemma":[0.9963752,0.00022710214,0.003132597,0.00005656596,0.00014745959,0.0000047061963,3.1781687e-7,0.000024222185,0.000031803007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99730295,0.00030267242,0.0007529001,0.00014906375,0.0011803483,0.0003120922],"domain_scores_gemma":[0.99703944,0.001821383,0.00035846705,0.00026140022,0.00034705314,0.00017228279],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025189663,0.00016381197,0.00058454555,0.00020324299,0.00012229143,0.00012076402,0.0005186435,0.000113537826,0.000020861477],"category_scores_gemma":[0.0014762526,0.00009440863,0.00007847111,0.0003836201,0.00030888533,0.00015526464,0.00020961995,0.0007955971,0.0000011034589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015258923,0.00036073002,0.0010307417,0.0018839507,0.00015213588,0.000106243744,0.067198016,0.000029024393,0.0007755563,0.9255898,0.0019456588,0.00077554083],"study_design_scores_gemma":[0.000945054,0.00046354727,0.0004892136,0.00017778856,0.000034237764,0.00013952456,0.012927116,0.0022519003,0.0005253059,0.9818399,0.00009721926,0.00010919406],"about_ca_topic_score_codex":0.000035385867,"about_ca_topic_score_gemma":0.000022579974,"teacher_disagreement_score":0.056250088,"about_ca_system_score_codex":0.00003342797,"about_ca_system_score_gemma":0.00013659289,"threshold_uncertainty_score":0.3849872},"labels":[],"label_agreement":null},{"id":"W3008623058","doi":"10.48550/arxiv.2002.11125","title":"Modular Exercises for Four-Point Blocks -- I","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Horizon 2020 Framework Programme; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; European Commission","keywords":"Modular design; Point (geometry); Computer science; Mathematics; Programming language; Geometry","score_opus":0.17547408739428036,"score_gpt":0.2248176584985807,"score_spread":0.04934357110430035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008623058","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7217685,0.000068097346,0.27288234,0.00027282134,0.0017079666,0.0013248825,0.00007773861,0.00036424948,0.0015334073],"genre_scores_gemma":[0.99623096,0.00006593955,0.0019998362,0.00008869564,0.00041407044,0.0000073208303,0.000021828346,0.00007258559,0.0010987861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981665,0.000056884066,0.00028172578,0.0010003224,0.00011186933,0.00038269855],"domain_scores_gemma":[0.9980773,0.00027357024,0.00031155552,0.00092267705,0.0001932743,0.00022166708],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00013738211,0.00044533386,0.0006772023,0.00010833486,0.00016530955,0.00006323776,0.0008741052,0.00047904797,0.00011485984],"category_scores_gemma":[0.00021625202,0.0004894264,0.000548737,0.00018415535,0.00008166387,0.000088349785,0.0009923255,0.00052513246,0.000013831754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017087538,0.00005755442,0.000063527594,0.00036128907,0.0002215283,0.000090849244,0.00022730189,0.010588969,0.000033217606,0.98607785,0.002015833,0.00009120379],"study_design_scores_gemma":[0.0008242026,0.00007513235,0.000028983779,0.00009213882,0.00045131627,0.0000022457089,0.000114871626,0.04525192,0.00024692545,0.9518558,0.0005554895,0.00050096906],"about_ca_topic_score_codex":0.000043617998,"about_ca_topic_score_gemma":0.000008331896,"teacher_disagreement_score":0.27446246,"about_ca_system_score_codex":0.00016849961,"about_ca_system_score_gemma":0.0001519419,"threshold_uncertainty_score":0.99975574},"labels":[],"label_agreement":null},{"id":"W3008677514","doi":"10.1090/conm/772/15491","title":"Higher order Massey products and applications","year":2021,"lang":"en","type":"preprint","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Russian Academy of Sciences; National Research University Higher School of Economics; Russian Science Foundation; Division of Mathematical Sciences; University of Toronto","keywords":"Homotopy; Mathematics; Pure mathematics; Cohomology; Order (exchange); Homology (biology); Intersection homology; Intersection (aeronautics); Intersection theory; Simplicial complex; Algebra over a field; Topology (electrical circuits); Combinatorics; Geography; Mathematical analysis; Business; Chemistry","score_opus":0.05443372413861646,"score_gpt":0.3082891321856545,"score_spread":0.25385540804703804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008677514","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30430222,0.010151464,0.57173777,0.010725159,0.0027948802,0.017856117,0.00036205168,0.0038092916,0.07826108],"genre_scores_gemma":[0.5381173,0.00029716536,0.4541829,0.0006868999,0.0011962679,0.0017789251,0.00015058734,0.00043792426,0.003152066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9946567,0.00021664187,0.0017146219,0.0015480106,0.0010993457,0.0007646952],"domain_scores_gemma":[0.9935156,0.0014044329,0.001488233,0.0024145246,0.0007223032,0.00045487648],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00092077925,0.0011878945,0.0025130315,0.000081336446,0.00033664863,0.0005517387,0.00095925084,0.0006507346,0.00031218314],"category_scores_gemma":[0.0006649037,0.001042663,0.00068434805,0.00076275435,0.0012726039,0.00020431614,0.0021686754,0.0015444021,0.000027867178],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011417234,0.001115484,0.000052918127,0.009399134,0.0010776585,0.000016267744,0.005008509,0.000004796362,0.00009826616,0.9718511,0.010671993,0.00069243624],"study_design_scores_gemma":[0.0005059741,0.000067168745,0.00002887122,0.0006500597,0.00037721518,0.000029254885,0.003276182,0.0012499823,0.00013152837,0.9899409,0.002582009,0.0011608844],"about_ca_topic_score_codex":0.000029728486,"about_ca_topic_score_gemma":0.0000011924442,"teacher_disagreement_score":0.23381504,"about_ca_system_score_codex":0.00018547554,"about_ca_system_score_gemma":0.00074402656,"threshold_uncertainty_score":0.9992024},"labels":[],"label_agreement":null},{"id":"W3009730801","doi":"10.1063/5.0008349","title":"On the large <i>D</i> expansion of Hermitian multi-matrix models","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Fonds De La Recherche Scientifique - FNRS","keywords":"Hermitian matrix; Matrix (chemical analysis); Mathematics; Mathematical physics; Pure mathematics; Algebra over a field; Physics; Mathematical analysis","score_opus":0.07588917302806254,"score_gpt":0.3140081788920218,"score_spread":0.2381190058639593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3009730801","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50455743,0.00008219218,0.49135807,0.002051112,0.00025881294,0.00033737326,0.000011528864,0.000029753643,0.0013137239],"genre_scores_gemma":[0.991067,0.000007961776,0.0081270235,0.00043491024,0.00030241982,0.000002208664,2.498799e-7,0.00003376488,0.0000244498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981469,0.000099805184,0.0007444114,0.00011377029,0.0006894846,0.00020564426],"domain_scores_gemma":[0.99762017,0.0010918293,0.0006505521,0.00027693945,0.00021432768,0.00014615757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039962857,0.0001875004,0.00056796445,0.00001863461,0.00006809344,0.000023163004,0.00042565344,0.000083529994,0.00009040352],"category_scores_gemma":[0.0006969153,0.0001061991,0.00035992922,0.00015684676,0.000059429265,0.00014729067,0.000086315005,0.00041263306,0.000011693739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006034387,0.00028533622,9.4161527e-7,0.00017086447,0.00006944171,0.0000061790884,0.001661218,0.0003659911,0.0004564591,0.9951938,0.0015876525,0.00014178104],"study_design_scores_gemma":[0.0007961662,0.00023186469,0.0000012954498,0.00017853412,0.00008262918,0.000008769426,0.00029801967,0.026677573,0.0031677554,0.9684289,0.000022551963,0.00010594724],"about_ca_topic_score_codex":2.7800118e-7,"about_ca_topic_score_gemma":4.782974e-8,"teacher_disagreement_score":0.48650956,"about_ca_system_score_codex":0.000022163093,"about_ca_system_score_gemma":0.000063718384,"threshold_uncertainty_score":0.43306735},"labels":[],"label_agreement":null},{"id":"W3010978165","doi":"10.1007/jhep04(2021)268","title":"Integrable Kondo problems","year":2021,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Krembil Foundation; Government of Canada; Ministero dello Sviluppo Economico; Innovation, Science and Economic Development Canada","keywords":"Integrable system; Kondo model; Kondo effect; Affine transformation; Impurity; Gauge theory","score_opus":0.02238453071301969,"score_gpt":0.2498114300093098,"score_spread":0.22742689929629012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010978165","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6156214,0.0017396761,0.3629753,0.0009726756,0.006779078,0.00007691635,0.000005582442,0.000068655776,0.0117607275],"genre_scores_gemma":[0.99329585,0.00007350365,0.004187801,0.0001211432,0.0009987386,0.0000014010208,0.0000013995855,0.000025344878,0.001294804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989605,0.000052075662,0.00037805855,0.0001010587,0.0003423004,0.00016603945],"domain_scores_gemma":[0.9987947,0.00012969387,0.00036442795,0.00021508742,0.00041701572,0.00007908707],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000097934666,0.00012786934,0.00034241079,0.00002575554,0.00005595075,0.000044170953,0.00018974845,0.00006688428,0.00007812902],"category_scores_gemma":[0.00006767509,0.0000982627,0.00019359692,0.00018447428,0.000023836705,0.00016066953,0.00005478519,0.00021344538,0.0000015063227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001165147,0.000106757376,0.000010356352,0.000018691078,0.00010326392,0.000034812863,0.00009203921,0.00023933787,0.0002722745,0.9937069,0.0035897617,0.0018141422],"study_design_scores_gemma":[0.000529287,0.000079433106,0.0000095664645,0.00006684105,0.000056480538,0.00008436325,0.000045975652,0.000026001819,0.022839734,0.9712672,0.0048878207,0.00010727906],"about_ca_topic_score_codex":0.000018404806,"about_ca_topic_score_gemma":0.0000060818984,"teacher_disagreement_score":0.3776745,"about_ca_system_score_codex":0.0000476865,"about_ca_system_score_gemma":0.00015753292,"threshold_uncertainty_score":0.40070367},"labels":[],"label_agreement":null},{"id":"W3011380756","doi":"10.1007/jhep11(2020)035","title":"Quiver Yangian from crystal melting","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Institut Périmètre de physique théorique; Simons Foundation","keywords":"Yangian; Quiver; Compactification (mathematics); Holomorphic function; Moduli space; Pure mathematics; Mathematics; Moduli; Embedding; Brane cosmology; Superstring theory; Algebraic geometry; Algebra over a field; Mathematical physics; Physics; Supersymmetry; Quantum mechanics","score_opus":0.02652223793200251,"score_gpt":0.24401725711381092,"score_spread":0.2174950191818084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3011380756","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8547188,0.0001534215,0.14249083,0.0006895241,0.0011586212,0.000026678757,0.000008781605,0.000032595355,0.0007207506],"genre_scores_gemma":[0.9919508,0.00001154272,0.0042547043,0.00040444106,0.0033202793,4.091869e-7,0.0000018344197,0.000028014641,0.00002797871],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989728,0.000042122843,0.00036054128,0.00011018555,0.0003647493,0.00014965395],"domain_scores_gemma":[0.99899995,0.00015841967,0.00044395548,0.00012388505,0.00013245482,0.00014135131],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00004826968,0.00013807365,0.000342935,0.00001626044,0.000055369655,0.000035968213,0.00024971162,0.00006448541,0.00007888762],"category_scores_gemma":[0.00007243463,0.00011104277,0.00019432383,0.00010879935,0.000023269655,0.00017749026,0.00006828817,0.0001950183,0.000002163903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051677773,0.000034555094,0.00002345462,0.000007684659,0.00014396744,0.000026644144,0.000605229,0.00018248403,0.0007122943,0.9945323,0.0021965832,0.0014831278],"study_design_scores_gemma":[0.000627725,0.00011369675,0.000043968837,0.000026844522,0.00007836935,0.0000049396745,0.00010440202,0.00017615943,0.006271831,0.9912781,0.0011485193,0.00012545775],"about_ca_topic_score_codex":0.00006420216,"about_ca_topic_score_gemma":0.0000017971639,"teacher_disagreement_score":0.13823614,"about_ca_system_score_codex":0.000031634172,"about_ca_system_score_gemma":0.00005419069,"threshold_uncertainty_score":0.45281926},"labels":[],"label_agreement":null},{"id":"W3012099713","doi":"10.1007/s00220-022-04380-3","title":"On the Classification of Topological Orders","year":2022,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":175,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Triviality; Indecomposable module; Mathematics; Topological space; Manifold (fluid mechanics); Pure mathematics; Series (stratigraphy); Topology (electrical circuits); Invertible matrix; Topological algebra; Separable space; Combinatorics","score_opus":0.17097572038521658,"score_gpt":0.3706946378511608,"score_spread":0.19971891746594422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3012099713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9430619,0.00005840957,0.012313115,0.00726816,0.00014971703,0.0008851719,0.000011939788,0.00007897039,0.036172643],"genre_scores_gemma":[0.9962818,0.0000055570563,0.0032751653,0.00012971502,0.000012829656,0.00023323299,0.000004270399,0.00001301174,0.00004440288],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998747,0.00035535166,0.0003578677,0.00011879172,0.00029703087,0.00012399231],"domain_scores_gemma":[0.9946546,0.003413813,0.00016221429,0.0017078964,0.00004199323,0.000019516932],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005122417,0.000095394505,0.00019850869,0.00003039868,0.0002785733,0.000010022163,0.0012423599,0.00003435418,0.000299561],"category_scores_gemma":[0.0006601232,0.000067542795,0.000080558755,0.00036472225,0.0002701883,0.000027834305,0.00054896856,0.0004407089,0.000007987836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000070869182,0.0004800839,0.000027614391,0.000012925063,0.000009696717,9.508101e-8,0.0005087696,0.000052220184,0.000045349178,0.99818414,0.00038718668,0.00028480665],"study_design_scores_gemma":[0.00014653265,0.00005031408,0.00015541563,0.000013305487,0.000010836913,9.2245915e-7,0.0007955728,0.0051413034,0.000038467584,0.99343765,0.00013848026,0.00007122892],"about_ca_topic_score_codex":0.0000032557166,"about_ca_topic_score_gemma":0.0000010226081,"teacher_disagreement_score":0.053219944,"about_ca_system_score_codex":0.000073900206,"about_ca_system_score_gemma":0.000031283183,"threshold_uncertainty_score":0.3279983},"labels":[],"label_agreement":null},{"id":"W3014583208","doi":"10.1007/978-3-030-35118-2_6","title":"Representation-finite algebras","year":2020,"lang":"en","type":"book-chapter","venue":"Graduate texts in mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Indecomposable module; Quiver; Representation theory; Representation (politics); Mathematics; Mathematical proof; Algebra over a field; Algebra representation; Algebraically closed field; Pure mathematics; Trivial representation","score_opus":0.12161072151099848,"score_gpt":0.3189708752743899,"score_spread":0.1973601537633914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3014583208","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0026357996,0.00042819852,0.003949415,0.0009934852,0.001811586,0.002071764,0.000068031055,0.00060571317,0.987436],"genre_scores_gemma":[0.16669448,0.0009303553,0.070328,0.0007776016,0.0027334285,0.00023907263,0.00024579576,0.0015965721,0.7564547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963948,0.000042434393,0.0013726943,0.0007341373,0.0010280046,0.00042794074],"domain_scores_gemma":[0.9964396,0.0012619566,0.0008189609,0.0011432816,0.00014569229,0.00019054672],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00032596398,0.000774861,0.0013709842,0.00026317005,0.00009780826,0.000103893144,0.00071418134,0.0005596284,0.0006351467],"category_scores_gemma":[0.0008362508,0.00073470635,0.00039987193,0.00015859985,0.00014814912,0.00010752118,0.0003282472,0.0010458695,0.00045594733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012200087,0.00005059562,0.0000032706319,0.0004945973,0.00013115311,0.00009160923,0.0016113459,0.000012685486,0.0000030816236,0.99288213,0.0040257853,0.00068154524],"study_design_scores_gemma":[0.00054885255,0.00005649741,0.0000066994226,0.0005514943,0.00017600953,0.000018745539,0.000094020914,0.00076046697,0.000046762376,0.9947957,0.0022341008,0.00071067945],"about_ca_topic_score_codex":0.0000056864524,"about_ca_topic_score_gemma":0.000009027369,"teacher_disagreement_score":0.2309813,"about_ca_system_score_codex":0.00014309106,"about_ca_system_score_gemma":0.00011454697,"threshold_uncertainty_score":0.9995104},"labels":[],"label_agreement":null},{"id":"W3014713909","doi":"10.4171/jems/1303","title":"Two-dimensional categorified Hall algebras","year":2022,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Institut Périmètre de physique théorique; Université de Strasbourg; Ministry of Education, Culture, Sports, Science and Technology; Agence Nationale de la Recherche","keywords":"Mathematics; Algebra over a field; Pure mathematics","score_opus":0.029445500779179734,"score_gpt":0.2693962848509514,"score_spread":0.23995078407177167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3014713909","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9688248,0.00018685246,0.0020686784,0.0026079318,0.0025289615,0.0003326723,0.000006496555,0.00006324648,0.023380326],"genre_scores_gemma":[0.9896155,0.0000016880964,0.007908313,0.0006287668,0.00062831066,0.0000026147188,3.8030026e-7,0.000057608457,0.0011568274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970781,0.00069983443,0.00074298726,0.0001480125,0.0010659584,0.00026506846],"domain_scores_gemma":[0.99818116,0.00047709869,0.0006742029,0.00041650093,0.00012466258,0.00012634476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002489989,0.00018919195,0.00036977112,0.000020639103,0.00052077015,0.000048386653,0.0009844621,0.00002916298,0.00072897784],"category_scores_gemma":[0.00034105137,0.00011422057,0.00086460676,0.00019965539,0.0001033287,0.00007560115,0.0007574995,0.0008565952,0.000018120352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003101047,0.00031793668,0.00002459072,0.000053283762,0.00025216778,0.000026999072,0.0020146684,0.00066562276,0.0005700698,0.9488173,0.046980456,0.00024585138],"study_design_scores_gemma":[0.00088533736,0.000079923484,0.00009289171,0.00002700236,0.00011827267,0.00039396438,0.0004460424,0.00041038005,0.00013994747,0.9962808,0.0009806651,0.00014480314],"about_ca_topic_score_codex":0.0000014694958,"about_ca_topic_score_gemma":1.12738626e-7,"teacher_disagreement_score":0.04746343,"about_ca_system_score_codex":0.00014564829,"about_ca_system_score_gemma":0.00008779502,"threshold_uncertainty_score":0.79817957},"labels":[],"label_agreement":null},{"id":"W3015964209","doi":"10.1017/fms.2020.44","title":"A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles","year":2020,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Counterexample; Invertible matrix; Diagonal; Mathematics; Conjecture; Symmetry (geometry); Line (geometry); Pure mathematics; Combinatorics; Geometry","score_opus":0.07452279766924233,"score_gpt":0.2928263467777281,"score_spread":0.2183035491084858,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3015964209","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96188074,0.00023311168,0.03135239,0.001664831,0.0016116152,0.0018730098,0.00027048166,0.00022913967,0.0008847085],"genre_scores_gemma":[0.9613905,0.00011131129,0.03754551,0.000062772255,0.00024526814,0.0001302961,0.000053064323,0.00012132195,0.00033997718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961635,0.000086550506,0.0014755502,0.00061826245,0.0012128762,0.00044329537],"domain_scores_gemma":[0.9959533,0.0006568936,0.0018615595,0.001007481,0.00034814517,0.00017261766],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00040350138,0.00064937,0.001645261,0.00029836563,0.00012253819,0.000057990143,0.00088140834,0.00068198453,0.00041382524],"category_scores_gemma":[0.00065131445,0.0005110832,0.00072142563,0.00029892844,0.0001871637,0.00010327159,0.0011069783,0.0006715187,0.0000084962085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042061976,0.0015049411,0.00028278108,0.0120309945,0.0010728686,0.000007665392,0.004819479,0.00025504484,0.0076591116,0.96912843,0.0026231126,0.00019495976],"study_design_scores_gemma":[0.00092539185,0.00042495792,0.00004141358,0.00097541005,0.00035799184,0.000013644895,0.0007122743,0.005885461,0.0419994,0.94815105,0.000037362042,0.0004756296],"about_ca_topic_score_codex":0.00009590071,"about_ca_topic_score_gemma":0.00012728928,"teacher_disagreement_score":0.034340285,"about_ca_system_score_codex":0.00013218365,"about_ca_system_score_gemma":0.00035969922,"threshold_uncertainty_score":0.9997341},"labels":[],"label_agreement":null},{"id":"W3016438780","doi":"10.1007/s10468-021-10091-5","title":"Combinatorics of type D Exceptional Sequences","year":2021,"lang":"en","type":"preprint","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Quiver; Coxeter group; Mathematics; Type (biology); Cluster algebra; Combinatorics; Representation theory; Coxeter element; Cluster (spacecraft); Enumerative combinatorics; Coxeter complex; Algebraic combinatorics; Pure mathematics; Artin group; Computer science; Ising model; Physics; Biology","score_opus":0.05126601446530909,"score_gpt":0.33520517051146326,"score_spread":0.28393915604615416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3016438780","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99225646,0.0018446491,0.0014809185,0.000094909024,0.002206951,0.00026591556,0.000009250563,0.00004799443,0.0017929476],"genre_scores_gemma":[0.9976273,0.0005180064,0.00095549965,0.000038439663,0.00018801488,0.000018902596,0.00006829039,0.000028524237,0.00055701705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824387,0.00029396446,0.00047351522,0.00043626473,0.00039781,0.00015458505],"domain_scores_gemma":[0.99804425,0.0006465333,0.00041144798,0.0004701925,0.00035415456,0.00007343853],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003885093,0.00023148359,0.00046893806,0.00009034379,0.00008968833,0.000072973635,0.00022148798,0.000312815,0.00038713226],"category_scores_gemma":[0.00042826188,0.00020374912,0.00014491996,0.00017122709,0.00021317729,0.00008793539,0.00047204676,0.0003379729,0.0000013847651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039585324,0.000060525075,0.000954346,0.0002419827,0.0001761256,0.000005624802,0.0011147284,0.000033466662,0.000167588,0.9962583,0.00021668618,0.00073103304],"study_design_scores_gemma":[0.00028116597,0.000039995746,0.0014217708,0.00012008624,0.00011911321,0.000010749583,0.0011355615,0.00006391241,0.0015410873,0.9950419,0.000017103366,0.00020755088],"about_ca_topic_score_codex":0.000049532846,"about_ca_topic_score_gemma":0.000002316684,"teacher_disagreement_score":0.005370841,"about_ca_system_score_codex":0.000027798445,"about_ca_system_score_gemma":0.00017737217,"threshold_uncertainty_score":0.8308648},"labels":[],"label_agreement":null},{"id":"W3018218034","doi":"10.4153/s0008439520000302","title":"A Complete Classification of 3-dimensional Quadratic AS-regular Algebras of Type EC","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Quadratic algebra; Noncommutative geometry; Type (biology); Automorphism; Quadratic equation; Pure mathematics; Algebra over a field; Bilinear form; Division algebra; Algebra representation; Geometry","score_opus":0.05348536515889082,"score_gpt":0.2680803415518776,"score_spread":0.21459497639298677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3018218034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.984792,0.00008743148,0.0008236428,0.008154054,0.0001348895,0.00050536153,0.00003434099,0.000041762476,0.0054265023],"genre_scores_gemma":[0.9952039,9.952363e-7,0.0040044314,0.0005293383,0.0000670635,0.00000866698,0.000012240166,0.000033059634,0.00014028151],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841636,0.000078331934,0.0006214345,0.00023912554,0.00037627874,0.00026847186],"domain_scores_gemma":[0.9983516,0.00040802514,0.00022364414,0.00035647917,0.00018527046,0.00047499957],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00018553187,0.00018443412,0.0005148172,0.00007302441,0.000055394343,0.000013234585,0.0002969486,0.0001415794,0.009006755],"category_scores_gemma":[0.0012583865,0.00016605169,0.00012299103,0.00020129178,0.0001620476,0.00001969112,0.00004261994,0.00015106965,0.0008794338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025902891,0.00003624866,0.000028415572,0.00032182338,0.0000491775,0.000005723457,0.00041177066,0.0000063179277,0.0014734261,0.9916232,0.0059573166,0.000060629496],"study_design_scores_gemma":[0.00037300476,0.00017860477,0.000089816735,0.00010381755,0.00007044898,0.000010328455,0.0001734966,0.0017805482,0.00070625864,0.9931449,0.003180256,0.00018851736],"about_ca_topic_score_codex":0.00025523588,"about_ca_topic_score_gemma":0.00006739671,"teacher_disagreement_score":0.010411909,"about_ca_system_score_codex":0.000043924254,"about_ca_system_score_gemma":0.00032188243,"threshold_uncertainty_score":0.9998985},"labels":[],"label_agreement":null},{"id":"W3022140711","doi":"10.1016/j.physletb.2005.09.006","title":"The <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msubsup><mml:mi>Z</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi mathvariant=\"italic\">su</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">)</mml:mo><mml:mo>,</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy=\"false\">/</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:math> parafermions","year":2005,"lang":"lv","type":"article","venue":"Physics Letters B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Dimension (graph theory); Type (biology); Mathematics; Physics; Algorithm; Mathematical physics; Combinatorics","score_opus":0.01842232054744671,"score_gpt":0.24141233529076978,"score_spread":0.22299001474332306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3022140711","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9083702,0.0064745145,0.002981925,0.0055272956,0.013214357,0.00076476583,0.0059040706,0.002461644,0.05430123],"genre_scores_gemma":[0.94925386,0.0053459117,0.005012747,0.0074513755,0.013647776,0.006494032,0.006639704,0.005639944,0.000514649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.95064676,0.003258584,0.01031104,0.009944439,0.01271488,0.013124274],"domain_scores_gemma":[0.96179694,0.008699701,0.011244574,0.010280932,0.0015827745,0.0063951],"candidate_categories":["metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.008082131,0.0066965595,0.0030111666,0.002730354,0.009489687,0.009823199,0.013473206,0.011475142,0.06966806],"category_scores_gemma":[0.0059512765,0.011616219,0.010765639,0.0065571745,0.008649323,0.007205798,0.010120314,0.011181393,0.008435109],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0044624093,0.00209294,0.00005195287,0.0031374802,0.009198884,0.0032758988,0.0062807286,0.006571686,0.004379851,0.65371984,0.2997556,0.0070727426],"study_design_scores_gemma":[0.011407624,0.005947794,0.00010226704,0.005866337,0.011883637,0.0054224115,0.009672964,0.03852752,0.80090153,0.078993484,0.018726958,0.0125474725],"about_ca_topic_score_codex":0.007792296,"about_ca_topic_score_gemma":0.004775352,"teacher_disagreement_score":0.79652166,"about_ca_system_score_codex":0.00034168223,"about_ca_system_score_gemma":0.006671443,"threshold_uncertainty_score":0.9991413},"labels":[],"label_agreement":null},{"id":"W3023631453","doi":"10.1007/s11005-019-01249-w","title":"Bannai–Ito algebras and the universal R-matrix of $$\\pmb {\\mathfrak {osp}}(1|2)$$","year":2019,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Centralizer and normalizer; Tensor product; Algebra over a field; Lie algebra; Coproduct; Action (physics); Universal enveloping algebra; Product (mathematics); Casimir element","score_opus":0.010141754628357076,"score_gpt":0.2551743314842778,"score_spread":0.24503257685592075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3023631453","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9869112,0.00005087128,0.00842862,0.001559454,0.00029404004,0.00062721176,0.0000030812957,0.00004369625,0.0020818252],"genre_scores_gemma":[0.9951688,0.000007308448,0.004008589,0.00046687704,0.00015767835,0.000014052936,0.0000012052031,0.000039735976,0.00013572582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983638,0.00012821339,0.00048824234,0.00027528274,0.00043229575,0.0003121662],"domain_scores_gemma":[0.9976385,0.0014678424,0.00020815962,0.0005890011,0.000039019113,0.000057445486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003971633,0.00025137758,0.000660169,0.00004400153,0.00004879589,0.000036134756,0.0003851947,0.00010785788,0.000086368396],"category_scores_gemma":[0.00016118978,0.00016956616,0.00016367428,0.00022977524,0.00035835014,0.00013929135,0.00018795488,0.0003389048,0.000032264437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000069238726,0.000076645505,0.00016872467,0.00031954673,0.000050469833,0.000003104308,0.0015416411,0.000037660062,0.00048729964,0.9966573,0.0004210382,0.00016734272],"study_design_scores_gemma":[0.0020722093,0.000031284184,0.000069620764,0.00013563671,0.00005340125,0.0000051133784,0.00022908795,0.0027400907,0.00052939606,0.99389243,0.00004579409,0.00019591754],"about_ca_topic_score_codex":0.000013077842,"about_ca_topic_score_gemma":6.857709e-7,"teacher_disagreement_score":0.0082576275,"about_ca_system_score_codex":0.000039016533,"about_ca_system_score_gemma":0.000021411139,"threshold_uncertainty_score":0.69147074},"labels":[],"label_agreement":null},{"id":"W3025074948","doi":"10.1142/s0129055x21500021","title":"New realizations of algebras of the Askey–Wilson type in terms of Lie and quantum algebras","year":2020,"lang":"en","type":"article","venue":"Reviews in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Realization (probability); Casimir element; CCR and CAR algebras; Algebra over a field; Quantum; Lie algebra; Type (biology); Quadratic algebra; Quantum group","score_opus":0.07613206105679975,"score_gpt":0.3251620206844228,"score_spread":0.24902995962762303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3025074948","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9608083,0.0034536067,0.028035063,0.0009311751,0.00028008112,0.00269311,0.000014338235,0.0000332628,0.0037511054],"genre_scores_gemma":[0.99322295,0.0007912815,0.0058049476,0.00006522865,0.00006200336,0.000008999813,0.0000013359771,0.000026135034,0.000017095404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983158,0.00013861315,0.0009854715,0.00017054447,0.00025058517,0.00013896186],"domain_scores_gemma":[0.9986375,0.00039007637,0.00046468567,0.00040516598,0.000040168296,0.00006237769],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002800296,0.00016416116,0.0008876407,0.000025159005,0.00001387399,0.000005262584,0.00029626585,0.00008730537,0.00004397515],"category_scores_gemma":[0.0013150366,0.0001077645,0.00013209177,0.00061511406,0.000100386584,0.000060174963,0.00014483243,0.00017091002,0.0000025191364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008799773,0.00009616187,0.0005220973,0.0020294376,0.000012741928,2.2664598e-7,0.001319487,0.0000058295154,0.0003348695,0.9934614,0.0002497362,0.0019592168],"study_design_scores_gemma":[0.0002882677,0.000060799186,0.0002646919,0.0011035526,0.0000506826,6.9776263e-7,0.000035480094,0.00087977044,0.0012747175,0.99585897,0.0000877201,0.000094648196],"about_ca_topic_score_codex":0.000010842698,"about_ca_topic_score_gemma":0.0000035053145,"teacher_disagreement_score":0.032414716,"about_ca_system_score_codex":0.000015372372,"about_ca_system_score_gemma":0.000049043585,"threshold_uncertainty_score":0.43945086},"labels":[],"label_agreement":null},{"id":"W3026823774","doi":"10.1016/j.aim.2021.107685","title":"Duality of subregular <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mi mathvariant=\"script\">W</mml:mi> </mml:math> -algebras and principal <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mi mathvariant=\"script\">W</mml:mi> </mml:math> -superalgebras","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Mathematics; Vertex operator algebra; Combinatorics; Conjecture; Type (biology); Coset; Duality (order theory); Quotient; Lattice (music); Diagonal; Algebra over a field; Pure mathematics; Physics; Geometry; Jordan algebra; Current algebra","score_opus":0.022198069737653123,"score_gpt":0.2653987638084397,"score_spread":0.24320069407078657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3026823774","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98170406,0.0032018046,0.0035075848,0.0004938484,0.003536966,0.00042918598,0.00043336092,0.0006119982,0.0060811653],"genre_scores_gemma":[0.9530666,0.0025907615,0.03921607,0.0010502244,0.0013491812,0.0009389912,0.00041773563,0.0008955516,0.00047489692],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9868759,0.0005434437,0.004029698,0.0025376545,0.003294629,0.0027186617],"domain_scores_gemma":[0.98912144,0.0022734734,0.0030618638,0.0041007814,0.00048042717,0.00096204405],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.003160598,0.0019079674,0.0017755125,0.00048655126,0.001371129,0.0010767792,0.0025184518,0.0022641828,0.0004576295],"category_scores_gemma":[0.0029692664,0.0022807734,0.001570562,0.0013487583,0.0015982165,0.0022951583,0.0026450385,0.0021855556,0.00079659617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00044206475,0.0011433035,0.000028269702,0.004937452,0.0010589709,0.0012011166,0.0064187255,0.00036797381,0.0017752631,0.9807136,0.0008438885,0.001069341],"study_design_scores_gemma":[0.0034472754,0.00097232504,0.00009032208,0.0028119457,0.0015745743,0.0023129815,0.005468485,0.6075673,0.017087521,0.35030112,0.0059456765,0.00242046],"about_ca_topic_score_codex":0.00036402172,"about_ca_topic_score_gemma":0.00036549606,"teacher_disagreement_score":0.6304125,"about_ca_system_score_codex":0.00012673897,"about_ca_system_score_gemma":0.0013158227,"threshold_uncertainty_score":0.9999814},"labels":[],"label_agreement":null},{"id":"W3026851747","doi":"10.1016/j.jnt.2020.04.001","title":"A variant of Siegel's theorem for Drinfeld modules","year":2020,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Statement (logic); Finitely-generated abelian group; Action (physics); Pure mathematics; Type (biology); Algebra over a field; Linguistics; Physics; Philosophy; Biology","score_opus":0.03725165682114841,"score_gpt":0.2968664921517036,"score_spread":0.2596148353305552,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3026851747","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7960415,0.00024494735,0.19106683,0.0015974446,0.0014970032,0.0004714324,0.00008502742,0.00004221771,0.008953614],"genre_scores_gemma":[0.98883146,0.0000090518515,0.010142427,0.0002364476,0.000658689,0.0000030854314,6.7073876e-7,0.000027502763,0.00009067848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998887,0.00009825807,0.0005356269,0.0000915665,0.00024392342,0.00014360457],"domain_scores_gemma":[0.9977887,0.001154901,0.0005671082,0.00015285981,0.00022603889,0.00011034647],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005510779,0.0001229844,0.00040979867,0.000026004951,0.000035307017,0.000015379197,0.00029466077,0.00008088183,0.0013026098],"category_scores_gemma":[0.0010868431,0.00008781063,0.00030072994,0.0000755966,0.00005515806,0.000092619666,0.000048590715,0.00016866115,0.000004675894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004751729,0.00005792672,0.000026203781,0.00009006781,0.00017402376,0.00001144194,0.0012226466,0.000015437223,0.000253655,0.99081546,0.0056856284,0.001172363],"study_design_scores_gemma":[0.00089027314,0.00020334037,0.000030979303,0.00006560778,0.0001095648,0.00007946052,0.00034212033,0.000114915216,0.0014520364,0.9946663,0.0019510328,0.00009436694],"about_ca_topic_score_codex":4.259823e-7,"about_ca_topic_score_gemma":1.5685994e-7,"teacher_disagreement_score":0.19278997,"about_ca_system_score_codex":0.000017035078,"about_ca_system_score_gemma":0.00005923724,"threshold_uncertainty_score":0.99961036},"labels":[],"label_agreement":null},{"id":"W3029032344","doi":"10.1007/jhep10(2019)010","title":"3d modularity","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":70,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"High Energy Physics; Fonds de recherche du Québec – Nature et technologies; Horizon 2020 Framework Programme; International Laboratory of Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics; Strong; Ministero dell’Istruzione, dell’Università e della Ricerca; Office of Science; Samsung; Canada Research Chairs; U.S. Department of Energy; Walter Burke Institute for Theoretical Physics; National Science Foundation","keywords":"Modularity (biology); Modular design; Pure mathematics; Homogeneous space; Mathematics; Tensor product; Tensor (intrinsic definition); Variety (cybernetics); Modular form; Algebra over a field; Topology (electrical circuits); Computer science; Combinatorics; Geometry","score_opus":0.014999270653684194,"score_gpt":0.24490657760196044,"score_spread":0.22990730694827624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3029032344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94244504,0.000071808754,0.053711124,0.00007732676,0.0021585634,0.00002876489,0.0000011306081,0.000014405663,0.0014918476],"genre_scores_gemma":[0.9951256,0.0000151038075,0.0034677084,0.000093962226,0.00090568484,4.6907616e-7,5.386067e-7,0.000019956875,0.0003710035],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999089,0.000034791454,0.00029696905,0.000085600645,0.00035366908,0.00013995507],"domain_scores_gemma":[0.99907005,0.00009848187,0.0003634386,0.00023167153,0.00017355375,0.000062800325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010179509,0.00011417321,0.00031824896,0.000027220958,0.00003092377,0.00002286149,0.00022385296,0.00006917982,0.00006860859],"category_scores_gemma":[0.000023705885,0.0000872694,0.00015523194,0.00009139466,0.000016473365,0.00016266161,0.000046073634,0.00017567587,0.000004985272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002476378,0.00006466564,0.00006648094,0.000011914307,0.00007040291,0.0000052505593,0.000045687815,0.000295541,0.000097920936,0.9971225,0.00061172026,0.0015831004],"study_design_scores_gemma":[0.00056517887,0.00012086747,0.00011474694,0.000022820688,0.000036716665,0.000017931383,0.000010554934,0.00013893147,0.00237964,0.99544567,0.0010449864,0.000101943304],"about_ca_topic_score_codex":0.000022541411,"about_ca_topic_score_gemma":8.3025634e-7,"teacher_disagreement_score":0.052680545,"about_ca_system_score_codex":0.00004054378,"about_ca_system_score_gemma":0.000054721095,"threshold_uncertainty_score":0.3558743},"labels":[],"label_agreement":null},{"id":"W3029785671","doi":"10.1093/imrn/rnaa066","title":"Bar Category of Modules and Homotopy Adjunction for Tensor Functors","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Cardiff University; University of Kansas","keywords":"Mathematics; Functor; Adjunction; Morphism; Homotopy; Pure mathematics; Tensor (intrinsic definition); Derived category; Tensor product; Bar (unit); Combinatorics; Algebra over a field","score_opus":0.2125119278277391,"score_gpt":0.41040593945944004,"score_spread":0.19789401163170095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3029785671","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9784668,0.00015480144,0.015252668,0.002396624,0.0004900592,0.00078294735,0.000047264384,0.000058107154,0.0023507292],"genre_scores_gemma":[0.9813307,0.0000256626,0.017977431,0.000040821706,0.00030749795,0.00006197031,0.0000067661413,0.000029737053,0.00021942944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983008,0.000052331918,0.00039514067,0.00024968077,0.00078312063,0.00021894481],"domain_scores_gemma":[0.9972313,0.0016380956,0.00016969649,0.00017950224,0.0006641179,0.000117254625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005926669,0.00013367864,0.0002647843,0.00012757696,0.000096423646,0.00007488151,0.00037985382,0.00008700777,0.0001408918],"category_scores_gemma":[0.0028541002,0.00010864037,0.00008465108,0.00011316309,0.0001527021,0.00016179596,0.0001643456,0.00018023678,0.000007934247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010597532,0.000113230344,0.00015445762,0.00070936105,0.00013802352,0.0000014029042,0.0018267735,0.000029357665,0.0011675075,0.99332726,0.0016057041,0.0008209244],"study_design_scores_gemma":[0.00057809154,0.00023002393,0.00022630209,0.00006810672,0.000028652346,0.0000021423737,0.001155844,0.029529884,0.0028385718,0.9641748,0.0010479471,0.000119655924],"about_ca_topic_score_codex":0.00002031719,"about_ca_topic_score_gemma":0.000003850613,"teacher_disagreement_score":0.029500527,"about_ca_system_score_codex":0.000034616874,"about_ca_system_score_gemma":0.00004209862,"threshold_uncertainty_score":0.44302258},"labels":[],"label_agreement":null},{"id":"W3029810727","doi":"10.1142/s0219199721500231","title":"Uprolling unrolled quantum groups","year":2021,"lang":"en","type":"preprint","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Degenerate energy levels; Vertex (graph theory); Mathematics; Rank (graph theory); Lie algebra; Simple (philosophy); Pure mathematics; Representation theory; Simple module; Quantum; Algebra over a field; Vertex operator algebra; Ribbon; Construct (python library); Operator (biology); Combinatorics; Physics; Current algebra; Quantum mechanics; Geometry; Computer science; Graph; Jordan algebra","score_opus":0.25008427115935994,"score_gpt":0.3891389373776045,"score_spread":0.13905466621824458,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3029810727","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85687876,0.030462591,0.035494044,0.0033689525,0.0041660955,0.0057098866,0.00008427646,0.0010933692,0.062742054],"genre_scores_gemma":[0.9131694,0.00071925187,0.08491862,0.000083446255,0.00011518823,0.0004739494,0.00017661903,0.00013447163,0.00020907998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959604,0.0005334961,0.0019435091,0.0006290761,0.0005389152,0.0003945671],"domain_scores_gemma":[0.98880655,0.0023537823,0.0010632138,0.007312977,0.00033935453,0.00012410538],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013387097,0.00063552056,0.0014910176,0.00032090978,0.00025628434,0.00030687047,0.0035038646,0.0007419397,0.0000656553],"category_scores_gemma":[0.0013315298,0.00064571464,0.00043278193,0.00045738497,0.00023581131,0.00019231881,0.0050615952,0.002084721,0.000008385978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014505254,0.0008407977,0.00021620645,0.0010840326,0.00020202523,0.000019348372,0.0075652204,0.00008175866,0.000014890663,0.9889895,0.00083187287,0.00013988938],"study_design_scores_gemma":[0.0008387521,0.000021262795,0.000020202355,0.0016430998,0.000074148156,0.000010677801,0.0034007526,0.03160731,0.000042264615,0.96136767,0.00037892934,0.0005949545],"about_ca_topic_score_codex":0.000073374154,"about_ca_topic_score_gemma":0.000075530625,"teacher_disagreement_score":0.06253297,"about_ca_system_score_codex":0.0002395967,"about_ca_system_score_gemma":0.0007886499,"threshold_uncertainty_score":0.9995994},"labels":[],"label_agreement":null},{"id":"W3032995466","doi":"10.1007/978-3-031-57204-3_7","title":"Dga Models for Moment-Angle Complexes","year":2024,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Moment (physics); Mathematics; Tensor product; Cohomology; Pure mathematics; Tensor (intrinsic definition); Ring (chemistry); Cohomology ring; Algebra over a field; Physics; Equivariant cohomology; Quantum mechanics; Chemistry","score_opus":0.1743887530067166,"score_gpt":0.3520241841863567,"score_spread":0.17763543117964012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3032995466","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00001779258,0.0036979364,0.0401799,0.0032105427,0.0021883042,0.0012045964,0.00036391406,0.00033261906,0.9488044],"genre_scores_gemma":[0.037337575,0.0017023532,0.030266264,0.00044670625,0.0007257616,0.0005179254,0.0007222043,0.00019809752,0.9280831],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998691,0.000011133052,0.00052122946,0.00033385682,0.00021794435,0.00022479416],"domain_scores_gemma":[0.99642754,0.0003776007,0.0001925691,0.0027461606,0.00017291485,0.000083199586],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00011914769,0.0003601568,0.0004826344,0.00013391112,0.00038933914,0.000101779864,0.0015221742,0.0005425729,0.00015297647],"category_scores_gemma":[0.000038764996,0.00034933648,0.0003587832,0.000040043156,0.0002328815,0.00015707326,0.0008134841,0.00069833914,0.000049732243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006368397,0.000024796916,3.97431e-8,0.00015034962,0.0002060009,9.935152e-7,0.00029462043,0.00004704826,0.0000011424358,0.9717383,0.026777811,0.00075253175],"study_design_scores_gemma":[0.00013553567,0.000027715094,2.8581752e-8,0.00017652256,0.00015737506,0.0000030106623,0.000010185571,0.0011818999,0.0000035212583,0.5802895,0.41780514,0.00020957793],"about_ca_topic_score_codex":0.000033581633,"about_ca_topic_score_gemma":0.00026963535,"teacher_disagreement_score":0.3914488,"about_ca_system_score_codex":0.00010835116,"about_ca_system_score_gemma":0.00013314921,"threshold_uncertainty_score":0.9998959},"labels":[],"label_agreement":null},{"id":"W3033819832","doi":"10.1093/imrn/rnaa110","title":"Leading Terms of <i>SL</i>3 Web Invariants","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Pure mathematics","score_opus":0.24689282184105885,"score_gpt":0.43960617543810715,"score_spread":0.1927133535970483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3033819832","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90657675,0.00005228506,0.0024684267,0.004733997,0.0008158672,0.0005455242,0.000039769933,0.00011593831,0.084651425],"genre_scores_gemma":[0.9883171,0.000018711471,0.010779057,0.000093199604,0.00037151112,0.00001918661,0.0000035572446,0.000035746445,0.00036194973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971787,0.00009734723,0.0005748645,0.00027937433,0.0015477227,0.0003220364],"domain_scores_gemma":[0.9972921,0.0015982732,0.00024779033,0.00029299647,0.000407217,0.00016161508],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083480374,0.0001594255,0.00034183537,0.00017447992,0.000090846865,0.00011992198,0.0010881949,0.000097940254,0.00059150596],"category_scores_gemma":[0.0038078432,0.0001339482,0.00011058464,0.00029538528,0.00016503656,0.00024608875,0.0004083482,0.00037769147,0.00009812387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003769302,0.00014683636,0.00024498653,0.00036198372,0.00013358027,0.000012121619,0.002321812,0.000028958613,0.005828824,0.9879272,0.0026953071,0.0002606794],"study_design_scores_gemma":[0.00051143696,0.000106715874,0.000031379583,0.00018018528,0.000017530392,0.0000036748086,0.000489284,0.017071584,0.007883098,0.97224987,0.001304294,0.00015097369],"about_ca_topic_score_codex":0.000009939634,"about_ca_topic_score_gemma":0.000005254233,"teacher_disagreement_score":0.08428948,"about_ca_system_score_codex":0.000054846776,"about_ca_system_score_gemma":0.000081767124,"threshold_uncertainty_score":0.6476576},"labels":[],"label_agreement":null},{"id":"W3034850753","doi":"10.1112/tlm3.12025","title":"Completions of discrete cluster categories of type A","year":2021,"lang":"en","type":"article","venue":"Transactions of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University; Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Type (biology); Cluster (spacecraft); Embedding; Ring (chemistry); Character (mathematics); Closed category; Triangulated category","score_opus":0.02950504607947626,"score_gpt":0.28743806825385726,"score_spread":0.257933022174381,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3034850753","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6644916,0.00016472035,0.33183494,0.0012444316,0.00043909764,0.00043474126,0.00006290365,0.000038333907,0.0012892573],"genre_scores_gemma":[0.9798519,0.000020218919,0.019528968,0.000021732681,0.000016014863,0.0000069907605,0.0000011567065,0.000015639744,0.0005373638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988798,0.00006631457,0.00049697555,0.000115440664,0.00031213008,0.00012937216],"domain_scores_gemma":[0.9985051,0.00049696193,0.00020027449,0.00050204434,0.00026092364,0.00003468858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015088408,0.00011500278,0.00040799525,0.00001104444,0.0000907723,0.0000059797044,0.0002343336,0.00009903043,0.0004998053],"category_scores_gemma":[0.00011643396,0.00007743974,0.0005461772,0.00032017007,0.00030417752,0.00004496909,0.00003378302,0.00015817248,0.0000014030062],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025822952,0.00033524458,0.00003579002,0.0010741465,0.00030596918,1.2049807e-7,0.0031203064,0.00024614675,0.0032490983,0.99110824,0.00040763695,0.00009146639],"study_design_scores_gemma":[0.00040327836,0.000039713523,0.0000630561,0.0001028956,0.00024706576,0.000007705223,0.0007835672,0.0013316569,0.026892882,0.9699851,0.000061299696,0.00008175141],"about_ca_topic_score_codex":0.00001489012,"about_ca_topic_score_gemma":0.0000048156085,"teacher_disagreement_score":0.31536034,"about_ca_system_score_codex":0.000019022824,"about_ca_system_score_gemma":0.00007655827,"threshold_uncertainty_score":0.5472518},"labels":[],"label_agreement":null},{"id":"W3035805143","doi":"10.1142/s0219199721500334","title":"Direct limit completions of vertex tensor categories","year":2021,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Vertex (graph theory); Vertex operator algebra; Superalgebra; Virasoro algebra; Lie superalgebra; Affine transformation; Tensor (intrinsic definition); Affine Lie algebra; Lie conformal algebra","score_opus":0.22246449336616803,"score_gpt":0.3680362961690565,"score_spread":0.14557180280288845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3035805143","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47116125,0.015335398,0.009758977,0.0066666636,0.0013460554,0.002097482,0.00019204513,0.00056815037,0.492874],"genre_scores_gemma":[0.9545595,0.00021709118,0.04445115,0.000049472284,0.000016376656,0.00006377771,0.000040277122,0.00003431199,0.00056802685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982907,0.00021364156,0.0008794651,0.00019497007,0.00024444962,0.000176765],"domain_scores_gemma":[0.9943204,0.0022711556,0.0003254531,0.0026826197,0.0003445503,0.00005580292],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037245764,0.00018978567,0.0005780549,0.000116322684,0.00015236075,0.000033846132,0.00093550084,0.000117381795,0.00007557375],"category_scores_gemma":[0.0012917367,0.00018555671,0.00013803173,0.0005114717,0.00026351813,0.00013368341,0.0005314047,0.00025422644,0.000008239132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000482843,0.00058478373,0.0006748065,0.00017704218,0.00006215188,0.0000042192028,0.002492108,0.0000047214867,0.0001802188,0.99387246,0.0018290979,0.000113546754],"study_design_scores_gemma":[0.00051961886,0.00002685165,0.00024187715,0.0002345163,0.000036401645,0.000013990282,0.0025224735,0.0012200474,0.0013827645,0.99025553,0.003336844,0.00020906178],"about_ca_topic_score_codex":0.000034556197,"about_ca_topic_score_gemma":0.000075985794,"teacher_disagreement_score":0.49230596,"about_ca_system_score_codex":0.000053734137,"about_ca_system_score_gemma":0.0002725998,"threshold_uncertainty_score":0.7566783},"labels":[],"label_agreement":null},{"id":"W3036000000","doi":"10.1093/imrn/rnab028","title":"On the Generalized Bykovskiĭ Presentation of Steinberg Modules","year":2021,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"National Research Foundation; Danmarks Grundforskningsfond; National Science Foundation","keywords":"Presentation (obstetrics); Generalization; Mathematics; Euclidean geometry; Gaussian integer; Algebra over a field; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.19555601332472616,"score_gpt":0.44192767597760213,"score_spread":0.24637166265287597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3036000000","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9822075,0.00021156474,0.0018308704,0.0023639547,0.0018318724,0.00094689475,0.000060670252,0.000048238027,0.010498442],"genre_scores_gemma":[0.98575866,0.00014676622,0.011861807,0.00003967809,0.00043723706,0.00023042844,0.00005461688,0.00006647217,0.0014043369],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9945,0.0005463052,0.00089219876,0.00051031326,0.0031854457,0.00036572752],"domain_scores_gemma":[0.9897975,0.0066388706,0.00067290047,0.0011498239,0.001656567,0.000084388295],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020098435,0.00032869706,0.0005523029,0.0003231112,0.00016541618,0.0004536426,0.0018419685,0.00030196432,0.000986633],"category_scores_gemma":[0.0048069945,0.00022672076,0.0003155183,0.00020759698,0.00026245124,0.000118609,0.0015877853,0.0011456865,0.00001572306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044270873,0.00039951623,0.00001182009,0.00061701296,0.00051513937,0.000009326157,0.002215097,0.0012453523,0.0002850995,0.991109,0.0034142395,0.00013409337],"study_design_scores_gemma":[0.00031362977,0.000050191342,0.000035028566,0.0008204861,0.000046675363,0.000002313213,0.0013019681,0.02234549,0.006161166,0.9686468,0.00008156049,0.0001946518],"about_ca_topic_score_codex":0.00017452621,"about_ca_topic_score_gemma":0.00003600397,"teacher_disagreement_score":0.022462195,"about_ca_system_score_codex":0.00017433158,"about_ca_system_score_gemma":0.00022077344,"threshold_uncertainty_score":0.9999266},"labels":[],"label_agreement":null},{"id":"W3036161854","doi":"10.1088/2399-6528/ab9ecd","title":"Observations on the Bethe ansatz solutions of the spin-1/2 isotropic anti-ferromagnetic Heisenberg chain: the chiral string conjecture","year":2020,"lang":"en","type":"article","venue":"Journal of Physics Communications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Physics; Excited state; Algorithm; Crystallography; Chemistry; Quantum mechanics; Computer science","score_opus":0.1685186685600185,"score_gpt":0.303617426894707,"score_spread":0.1350987583346885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3036161854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8345024,0.00068467454,0.0044860104,0.15839721,0.00048563475,0.00060972397,0.000034604534,0.000025406065,0.0007743214],"genre_scores_gemma":[0.9978116,0.000098632285,0.0009201219,0.000796307,0.000312164,0.000008876259,0.0000014852369,0.000019535286,0.000031283995],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847007,0.00037347898,0.0005302599,0.00008476777,0.0003736248,0.00016779348],"domain_scores_gemma":[0.99636793,0.0011195798,0.00075416995,0.0014522333,0.00025452315,0.00005159133],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002540418,0.00015156373,0.000267205,0.000018922537,0.00086631754,0.000047893238,0.0021596057,0.00005760623,0.000016410751],"category_scores_gemma":[0.0004004483,0.00007435773,0.0003201835,0.00046942066,0.00031564475,0.00009151168,0.00040021146,0.00086592353,0.0000014188598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000053030194,0.000094729614,0.00012612896,0.000010983825,0.00010879075,1.3037202e-7,0.002264747,0.0013505756,0.0005708118,0.99420536,0.001061067,0.00020135262],"study_design_scores_gemma":[0.00039840626,0.00016629629,0.0055651455,0.00010605734,0.0002199081,0.000006881925,0.0010666471,0.005351774,0.0005870407,0.9853552,0.0010649808,0.00011164189],"about_ca_topic_score_codex":0.000012188018,"about_ca_topic_score_gemma":0.00001011987,"teacher_disagreement_score":0.16330917,"about_ca_system_score_codex":0.000037929552,"about_ca_system_score_gemma":0.00015941478,"threshold_uncertainty_score":0.6663102},"labels":[],"label_agreement":null},{"id":"W3037010351","doi":"10.4153/cjm-2007-031-2","title":"Jet Modules","year":2007,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Indecomposable module; Jet (fluid); Torus; Action (physics); Algebra over a field; Pure mathematics; Tensor (intrinsic definition); Tensor algebra; Vector field; Lie algebra; Current algebra; Geometry; Physics; Division algebra","score_opus":0.03412477674879675,"score_gpt":0.27612184372534415,"score_spread":0.2419970669765474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037010351","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9692316,0.00023888468,0.024401922,0.00016144002,0.0010916063,0.00008968965,0.000003115041,0.0000109555,0.004770756],"genre_scores_gemma":[0.9615793,0.000003807944,0.037797656,0.000067336056,0.00037597344,3.291335e-7,2.3615539e-7,0.000028056043,0.00014728663],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987014,0.000015530923,0.00061121973,0.00006976172,0.00026262927,0.00033945896],"domain_scores_gemma":[0.9982577,0.00032865675,0.00038067615,0.00023477642,0.00023713279,0.0005610557],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093619426,0.0001405115,0.00031996428,0.00022648052,0.000096407326,0.000046741425,0.00034281216,0.000105349594,0.00016478379],"category_scores_gemma":[0.0007581568,0.0001094251,0.00014597061,0.00013916355,0.00006464244,0.00009233035,0.000010846621,0.00022373276,0.000009200536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000034806653,0.000024883719,0.00043105448,0.00006218759,0.000058652102,0.00013491063,0.0017010461,0.000005492426,0.000029738196,0.99229014,0.0043655694,0.0008928564],"study_design_scores_gemma":[0.00026939058,0.000058177986,0.00026379863,0.000086935564,0.000046691865,0.0003222083,0.00096165226,0.000033755994,0.00064764114,0.994638,0.0025447719,0.00012692827],"about_ca_topic_score_codex":0.0001697619,"about_ca_topic_score_gemma":0.0042634313,"teacher_disagreement_score":0.013395734,"about_ca_system_score_codex":0.000121013305,"about_ca_system_score_gemma":0.00034325628,"threshold_uncertainty_score":0.4462226},"labels":[],"label_agreement":null},{"id":"W3037112262","doi":"10.1007/jhep06(2020)182","title":"Gluing affine Yangians with bi-fundamentals","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Agencia Estatal de Investigación; Eidgenössische Technische Hochschule Zürich; National Natural Science Foundation of China; Institut Périmètre de physique théorique; Simons Foundation","keywords":"Yangian; Affine transformation; Vertex (graph theory); Affine plane (incidence geometry); Generalization; Quantum affine algebra; Algebra over a field; Affine representation","score_opus":0.022940019164868885,"score_gpt":0.24201635760245632,"score_spread":0.21907633843758745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037112262","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7913952,0.00024175229,0.20469783,0.0017774308,0.00072558393,0.000058577287,0.0000049932014,0.000050906252,0.0010477499],"genre_scores_gemma":[0.99367857,0.000020787484,0.0041332534,0.00047401185,0.0015858894,9.568708e-7,0.0000010538052,0.000035159053,0.000070305374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898,0.000029855159,0.00032055858,0.00010922937,0.00039334252,0.00016705353],"domain_scores_gemma":[0.999104,0.00009088827,0.0004123861,0.00012898738,0.00012790515,0.00013581807],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000052168998,0.00015730152,0.00036581987,0.000023595449,0.000057917816,0.000041524523,0.00022098585,0.000046678626,0.00005111845],"category_scores_gemma":[0.000025814186,0.00010954812,0.00012720982,0.0001864503,0.000032012005,0.00017207315,0.000045025805,0.00016819978,0.0000015244681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000109265806,0.000061318795,0.00002781841,0.000019347786,0.0001639515,0.000037923557,0.00038286933,0.00038272564,0.0003260312,0.99499637,0.0013780181,0.0021143367],"study_design_scores_gemma":[0.0010472342,0.00053580146,0.000025274707,0.00005762009,0.00010362166,0.00003698797,0.00011250966,0.00008082139,0.011230882,0.985032,0.0015780318,0.00015919296],"about_ca_topic_score_codex":0.000014920713,"about_ca_topic_score_gemma":0.0000019459492,"teacher_disagreement_score":0.20228341,"about_ca_system_score_codex":0.00004184465,"about_ca_system_score_gemma":0.00006236173,"threshold_uncertainty_score":0.44672427},"labels":[],"label_agreement":null},{"id":"W3038280556","doi":"","title":"Revisiting the Askey–Wilson algebra with the universal R-matrix of $\\boldsymbol{ \\newcommand{\\su}{\\mathfrak{sl}} U_q(\\su_2)}$","year":2020,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Special unitary group; Centralizer and normalizer; Embedding; SL2(R); Tensor product; Casimir effect; Combinatorics; Casimir element; Pure mathematics; Matrix (chemical analysis); Algebra over a field; Irreducible representation; Mathematical physics; Physics; Cellular algebra; Algebra representation; Quantum mechanics","score_opus":0.06306810230308678,"score_gpt":0.20257440350911624,"score_spread":0.13950630120602947,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3038280556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9817442,0.00010387108,0.012007778,0.0022246002,0.00014158184,0.0004371228,0.000009057123,0.00014273208,0.0031890483],"genre_scores_gemma":[0.998603,0.000034900393,0.00015439806,0.00024864584,0.0003090247,7.467261e-7,0.0000027252106,0.000042842556,0.00060375186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984178,0.00021944041,0.0002667832,0.0004838911,0.00022519389,0.00038689218],"domain_scores_gemma":[0.9978282,0.00069916225,0.0003950182,0.00074857735,0.00017111764,0.0001579447],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002869551,0.00032031495,0.0004375336,0.00005483482,0.00042060038,0.00006314869,0.0010855299,0.00013612895,0.00013826223],"category_scores_gemma":[0.00012541455,0.00020207465,0.00022903166,0.00083096075,0.0002939862,0.00024673817,0.00033707547,0.0004506923,0.000020450181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020171158,0.000022452601,0.000954923,0.00008557676,0.00017552306,0.000056683613,0.0015212325,0.0018792312,0.00007581099,0.99408525,0.00072481163,0.00021676373],"study_design_scores_gemma":[0.00621144,0.00082423165,0.0018481615,0.000388213,0.0018171684,0.000046372563,0.019120874,0.052768275,0.0014976086,0.9032681,0.010591038,0.0016185284],"about_ca_topic_score_codex":0.00009190987,"about_ca_topic_score_gemma":0.000011456875,"teacher_disagreement_score":0.09081719,"about_ca_system_score_codex":0.00007587348,"about_ca_system_score_gemma":0.00011107027,"threshold_uncertainty_score":0.8240365},"labels":[],"label_agreement":null},{"id":"W3039080585","doi":"10.1007/s00029-020-00563-9","title":"Torsion pairs for quivers and the Weyl groups","year":2020,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Coxeter group; Mathematics; Torsion (gastropod); Weyl group; Coxeter element; Pure mathematics; Coxeter complex; Representation theory; Algebra over a field; Artin group","score_opus":0.03428324746304334,"score_gpt":0.2655045835815472,"score_spread":0.23122133611850387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3039080585","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9020841,0.0005252691,0.06391999,0.019963337,0.00068777805,0.004291318,0.00001686505,0.0005693267,0.007941987],"genre_scores_gemma":[0.9918172,0.000015164023,0.0072292145,0.00049086736,0.00021883473,0.00007427157,0.0000015511616,0.00003461456,0.00011830756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903405,0.000054210774,0.0002537634,0.00022573922,0.00020196792,0.00023027431],"domain_scores_gemma":[0.9986182,0.0009049942,0.000112006746,0.00021212808,0.00005412239,0.00009857218],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002758117,0.0001666029,0.00033193876,0.000016449707,0.00019017943,0.00005782246,0.0002289749,0.00007417961,0.00008038762],"category_scores_gemma":[0.0008796242,0.00010091981,0.000116068455,0.00012199739,0.000107370506,0.0000677984,0.00008503267,0.000115251554,0.000008422155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013472364,0.00001528772,0.000004136654,0.00021353745,0.00004716734,4.1418974e-7,0.0036919583,2.9932198e-7,0.000055195917,0.98978275,0.0058676684,0.0001868536],"study_design_scores_gemma":[0.0016356262,0.000114182716,0.0000032667851,0.000025544543,0.00009618821,0.0000053471404,0.00052123924,0.0041470365,0.0004085081,0.99199885,0.00090575544,0.00013844202],"about_ca_topic_score_codex":0.0000027576216,"about_ca_topic_score_gemma":0.0000010513138,"teacher_disagreement_score":0.08973305,"about_ca_system_score_codex":0.000016645083,"about_ca_system_score_gemma":0.000024485345,"threshold_uncertainty_score":0.41153905},"labels":[],"label_agreement":null},{"id":"W3039210683","doi":"10.1007/jhep03(2021)153","title":"Quarter-BPS states, multi-symmetric functions and set partitions","year":2021,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Science and Technology Facilities Council","keywords":"Physics; Quarter (Canadian coin); Set (abstract data type); History; Computer science","score_opus":0.031876656628011195,"score_gpt":0.26905007620295596,"score_spread":0.23717341957494475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3039210683","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.655745,0.00094859186,0.33958867,0.00078452594,0.0023799315,0.000044913304,0.000046884248,0.000036884314,0.0004245723],"genre_scores_gemma":[0.995978,0.00017074973,0.0028426286,0.00007546849,0.00052705954,0.0000025676945,0.000010615356,0.000018030652,0.00037485448],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999089,0.000065430555,0.00034143045,0.000112973736,0.00023658715,0.0001545887],"domain_scores_gemma":[0.9989178,0.00021258778,0.0002691598,0.00017356635,0.00031602554,0.00011084727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000062250154,0.0001228293,0.00027545085,0.000058901038,0.00012268867,0.000055252687,0.000080545135,0.000057078603,0.000035741126],"category_scores_gemma":[0.00006177577,0.000103367616,0.00012008514,0.00031622115,0.000032543125,0.00016671239,0.00003893969,0.0001694981,0.0000014240176],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010544266,0.00017375297,0.00004606304,0.000013478617,0.00013538921,0.000035075514,0.00014359485,0.000234516,0.000047586942,0.9925828,0.005279432,0.0012977645],"study_design_scores_gemma":[0.000783953,0.00010977001,0.00020738672,0.00002464301,0.00012117763,0.00011062935,0.00028700437,0.00020556862,0.0010685129,0.9949728,0.0019932806,0.000115259725],"about_ca_topic_score_codex":0.000026963622,"about_ca_topic_score_gemma":0.00001742477,"teacher_disagreement_score":0.340233,"about_ca_system_score_codex":0.000035941215,"about_ca_system_score_gemma":0.000090522895,"threshold_uncertainty_score":0.42152092},"labels":[],"label_agreement":null},{"id":"W3040402236","doi":"10.4171/jca/55","title":"Group partition categories","year":2021,"lang":"en","type":"preprint","venue":"Journal of Combinatorial Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Wreath product; Mathematics; Morphism; Partition (number theory); Embedding; Enriched category; Combinatorics; Group (periodic table); Symmetric group; Symmetric monoidal category; Category of groups; Closed monoidal category; Pure mathematics; Discrete mathematics; Product (mathematics); Computer science; Abelian group; Physics; Geometry","score_opus":0.030608563762133115,"score_gpt":0.28963065833985635,"score_spread":0.25902209457772324,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3040402236","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93070066,0.0015992551,0.0018322729,0.00039699193,0.06450336,0.00032013413,0.000006776126,0.00007135796,0.00056921353],"genre_scores_gemma":[0.99137837,0.00022452987,0.0019957887,0.000066913664,0.0061572944,0.00001703377,0.000021583055,0.00009207206,0.00004640623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99565417,0.00037854147,0.0017448545,0.0004121233,0.001360705,0.0004496381],"domain_scores_gemma":[0.99490875,0.00048516982,0.0023454854,0.0007431586,0.0012269916,0.00029044453],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009878618,0.00057841686,0.0015413669,0.00023820595,0.00015924107,0.0004504254,0.0009121299,0.00084009336,0.00026190068],"category_scores_gemma":[0.0009959267,0.00051108375,0.0009440165,0.00025068494,0.00011818349,0.0003603483,0.00073507556,0.0019954166,0.0000038812777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017840219,0.00036193532,0.00009385354,0.00031560185,0.0004838872,0.00016051659,0.0007465474,0.000014140966,0.00011823837,0.99328643,0.0038314674,0.00040899485],"study_design_scores_gemma":[0.0017769231,0.00034427023,0.00012066713,0.00045087936,0.00044605276,0.000117741496,0.00028024925,0.000011681905,0.0016045814,0.99308544,0.0012735337,0.00048795674],"about_ca_topic_score_codex":0.000031750296,"about_ca_topic_score_gemma":0.000004954868,"teacher_disagreement_score":0.060677733,"about_ca_system_score_codex":0.00030592844,"about_ca_system_score_gemma":0.0007175294,"threshold_uncertainty_score":0.9997341},"labels":[],"label_agreement":null},{"id":"W3041373541","doi":"10.1063/5.0021269","title":"Isotropic Grassmannians, Plücker and Cartan maps","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Concordia University; Université de Montréal; John Abbott College","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pfaffian; Grassmannian; Linear subspace; Vector bundle; Line bundle; Holomorphic function; Tautological line bundle; Bilinear form; Scalar (mathematics); Gramian matrix","score_opus":0.03076709572365579,"score_gpt":0.2873824562612264,"score_spread":0.2566153605375706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3041373541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98082,0.0003570268,0.015331762,0.0007933222,0.00051126274,0.000092956136,0.000003592619,0.000021382006,0.002068672],"genre_scores_gemma":[0.9825054,0.000040112678,0.016324708,0.00012983165,0.0006669009,0.0000014737776,6.344165e-7,0.000031477168,0.00029948863],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870175,0.00006262218,0.00050812995,0.00012036388,0.00041751418,0.00018964465],"domain_scores_gemma":[0.9986119,0.00047249536,0.0002837801,0.00023467667,0.00025357518,0.0001435265],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017809859,0.00015677934,0.0004895876,0.0000237898,0.00006194364,0.000060525206,0.00014219213,0.00008238307,0.00007947919],"category_scores_gemma":[0.00045083775,0.000118378135,0.00018051322,0.00011555073,0.00006372925,0.00013991984,0.000076989345,0.0002939888,0.000007894932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010481404,0.00014076484,0.00008523454,0.00015530664,0.00009126631,0.00005918707,0.000419821,0.0000014654746,0.00025391558,0.9959064,0.0021572784,0.0007188849],"study_design_scores_gemma":[0.0005469142,0.00007482777,0.00009179366,0.00011899407,0.0001231919,0.00022639155,0.00018789503,0.00005802139,0.0013046392,0.99664015,0.00050371373,0.00012348685],"about_ca_topic_score_codex":3.5160667e-7,"about_ca_topic_score_gemma":3.3913227e-7,"teacher_disagreement_score":0.0017691834,"about_ca_system_score_codex":0.000031696178,"about_ca_system_score_gemma":0.00007860103,"threshold_uncertainty_score":0.48273203},"labels":[],"label_agreement":null},{"id":"W3042462475","doi":"10.1515/crelle-2022-0013","title":"Kazhdan–Lusztig conjecture via zastava spaces","year":2022,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; National Research University Higher School of Economics; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Mathematics; Verma module; Conjecture; Equivariant map; Pure mathematics; Simple (philosophy); Lie algebra; Affine Lie algebra; Affine transformation; Representation theory; Torus; Maximal torus; Lie group; Algebra over a field; Current algebra; Fundamental representation; Geometry","score_opus":0.025341789758792064,"score_gpt":0.30964757119591574,"score_spread":0.28430578143712365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3042462475","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87887305,0.041952446,0.045030832,0.011001609,0.010679826,0.0013301091,0.00007530049,0.00043086807,0.010625939],"genre_scores_gemma":[0.97119623,0.003052925,0.012248212,0.00062671676,0.004642663,0.000036894213,0.0000100628195,0.00034980112,0.007836519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9942808,0.0005830316,0.0016380049,0.00048402467,0.0019524035,0.0010617215],"domain_scores_gemma":[0.99555045,0.0007043625,0.0020083669,0.0006742303,0.00036943262,0.0006931641],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002105652,0.0007739286,0.0012538532,0.00054113864,0.0030088704,0.00087729923,0.0013060131,0.0002185287,0.0033227757],"category_scores_gemma":[0.0004602384,0.0005871796,0.0009329469,0.0005123097,0.00014179104,0.0004606565,0.0005902673,0.0031389936,0.000032192125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014827809,0.0023979906,0.00038396532,0.0010154183,0.005289519,0.007478637,0.023122992,0.004142235,0.005948666,0.7151343,0.21538699,0.018216474],"study_design_scores_gemma":[0.0022999996,0.0007016466,0.00001242611,0.00020660805,0.00043201016,0.014404729,0.0021496417,0.00029985563,0.0010676456,0.8871278,0.09058952,0.00070810335],"about_ca_topic_score_codex":0.000014397338,"about_ca_topic_score_gemma":0.00000944824,"teacher_disagreement_score":0.17199348,"about_ca_system_score_codex":0.00056531216,"about_ca_system_score_gemma":0.00032723605,"threshold_uncertainty_score":0.999658},"labels":[],"label_agreement":null},{"id":"W3043425194","doi":"10.1090/proc/16145","title":"Matroid Chern-Schwartz-MacPherson cycles and Tutte activities","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.018328504408453163,"score_gpt":0.27043606367589396,"score_spread":0.2521075592674408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043425194","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99485445,0.00016259433,0.00006575061,0.0022164225,0.00021491096,0.000598508,0.000023054501,0.00023320605,0.001631122],"genre_scores_gemma":[0.993788,0.00036340117,0.004041087,0.00022639048,0.00029801915,0.000052931726,6.3998186e-7,0.00011714843,0.0011123642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99696976,0.000028310238,0.0007247292,0.00054906664,0.0009447191,0.0007834316],"domain_scores_gemma":[0.99758065,0.0005987965,0.0011199365,0.00033727568,0.00015860226,0.00020476442],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007323632,0.0005437997,0.0012003456,0.00004718801,0.00041003322,0.00020284826,0.0008016044,0.00019444842,0.00007198043],"category_scores_gemma":[0.00051291334,0.00038765869,0.0007780803,0.0010088434,0.0018088941,0.00024535373,0.0009886072,0.0005818505,0.00002983258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012392238,0.00034958145,0.0024734952,0.0066898824,0.0011615638,0.0000010352489,0.033673123,0.0000027407045,0.027051969,0.9099004,0.01597185,0.0026004242],"study_design_scores_gemma":[0.0005095241,0.00015879156,0.0016248097,0.0006603095,0.0004281122,0.00001991418,0.027050247,0.0027694234,0.009612061,0.95646507,0.00019363164,0.000508112],"about_ca_topic_score_codex":0.000037146918,"about_ca_topic_score_gemma":4.278199e-7,"teacher_disagreement_score":0.04656465,"about_ca_system_score_codex":0.00011025413,"about_ca_system_score_gemma":0.00006180408,"threshold_uncertainty_score":0.99985754},"labels":[],"label_agreement":null},{"id":"W3043827478","doi":"10.48550/arxiv.2007.13365","title":"Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"King Saud University; Government of Canada; Institut Périmètre de physique théorique; Simons Foundation; National Science Foundation","keywords":"Yangian; Pure mathematics; Calabi–Yau manifold; Conjecture; Mathematics; Moduli; Algebra over a field; Action (physics); Physics; Quantum mechanics","score_opus":0.16668981816985856,"score_gpt":0.2296049419917945,"score_spread":0.06291512382193593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043827478","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922937,0.000087415436,0.0018896934,0.00024508318,0.0011967024,0.00059220276,0.00002943183,0.00025075235,0.00341502],"genre_scores_gemma":[0.9981418,0.00016393916,0.00020072413,0.0001728076,0.00029059057,0.0000029873595,0.000017280438,0.000049206126,0.00096064695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99767864,0.000205744,0.00030078553,0.0012229786,0.0001843013,0.00040757732],"domain_scores_gemma":[0.99817246,0.00033805135,0.000267675,0.0007571302,0.000102964,0.0003617403],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014487417,0.0005587905,0.00074873463,0.000110064815,0.00018047949,0.000079906764,0.00064469303,0.00067677733,0.0002797646],"category_scores_gemma":[0.00017763839,0.00053780864,0.0002975008,0.00021215965,0.00019867266,0.000078022545,0.0012263553,0.00094562455,0.00004250789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018372023,0.0001367957,0.0013070843,0.00019024729,0.00021006755,0.0003860002,0.0002881111,0.0007516024,0.000010596804,0.9950096,0.0014426464,0.00008355396],"study_design_scores_gemma":[0.00094370026,0.00030945442,0.0016395199,0.000107124986,0.00029987795,0.0000073998553,0.00018253512,0.004142243,0.000048607097,0.9913651,0.0003523772,0.0006020691],"about_ca_topic_score_codex":0.00018494384,"about_ca_topic_score_gemma":0.000030255624,"teacher_disagreement_score":0.005848119,"about_ca_system_score_codex":0.00028583876,"about_ca_system_score_gemma":0.00012330957,"threshold_uncertainty_score":0.99970734},"labels":[],"label_agreement":null},{"id":"W3043834968","doi":"10.1007/s00220-021-04097-9","title":"On Ribbon Categories for Singlet Vertex Algebras","year":2021,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Subcategory; Vertex operator algebra; Ribbon; Operator algebra; Vertex (graph theory); Tensor product; Operator (biology); Projective test","score_opus":0.10081416444357329,"score_gpt":0.3664126730818993,"score_spread":0.265598508638326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043834968","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4703466,0.0011084753,0.41543394,0.009635527,0.0015590035,0.0033395372,0.000077933924,0.0007206839,0.0977783],"genre_scores_gemma":[0.9449039,0.00002560149,0.05431026,0.00022164776,0.00006377457,0.0001952534,0.00003198575,0.000046334666,0.00020120805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987402,0.00011791714,0.0004300795,0.00023596294,0.00021781979,0.00025804402],"domain_scores_gemma":[0.99393874,0.0036241116,0.000110448986,0.0020923908,0.00017532823,0.000058957095],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023152599,0.00019168883,0.00038064222,0.00003362665,0.00020960264,0.00006583514,0.00070923264,0.00011159643,0.00004825826],"category_scores_gemma":[0.0016147078,0.00018108009,0.00014360086,0.00030233528,0.00012880951,0.00009020595,0.00030472904,0.00028640477,0.00003010489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000985006,0.00058092765,0.0000064283436,0.00010471721,0.00002648534,8.203303e-7,0.00063556846,0.000011974126,0.00007396133,0.9963279,0.00093960995,0.0012817765],"study_design_scores_gemma":[0.0005161756,0.00004120041,0.000010438429,0.000120628334,0.00003664883,0.0000027780093,0.0002251678,0.003566927,0.001284658,0.9935291,0.00047105228,0.0001952375],"about_ca_topic_score_codex":0.0000018716983,"about_ca_topic_score_gemma":0.000006694732,"teacher_disagreement_score":0.47455734,"about_ca_system_score_codex":0.000095035626,"about_ca_system_score_gemma":0.000092067894,"threshold_uncertainty_score":0.73842317},"labels":[],"label_agreement":null},{"id":"W3043870296","doi":"10.20944/preprints202003.0327.v1","title":"Truncations of W&amp;infin; Algebras","year":2020,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Dual polyhedron; Mathematics; Vertex (graph theory); Symplectic geometry; Pure mathematics; Operator algebra; Class (philosophy); Boundary (topology); Relation (database); Nest algebra; Operator (biology); Gauge (firearms); Algebra over a field; Discrete mathematics; Algebra representation; Non-associative algebra; Mathematical analysis; Graph; Computer science","score_opus":0.2745571058327538,"score_gpt":0.3974836618713963,"score_spread":0.1229265560386425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043870296","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9816697,0.00009606617,0.001889291,0.0009094223,0.001617358,0.0008106333,0.00004338862,0.00027773573,0.012686366],"genre_scores_gemma":[0.9959403,0.000052284096,0.0024014656,0.00009799184,0.00041441649,0.00013383444,0.000046394547,0.00008321106,0.00083009095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99710995,0.00014230494,0.0009527068,0.0008973806,0.00057199725,0.0003256381],"domain_scores_gemma":[0.996431,0.00029511726,0.00075498223,0.0020514494,0.0002704167,0.00019706188],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00035266133,0.00045501717,0.00087336556,0.00011887933,0.000088945715,0.000019849609,0.0011343538,0.00051157235,0.0018719954],"category_scores_gemma":[0.0014078352,0.00046134274,0.00046457746,0.00020876259,0.00010301946,0.00006029332,0.0024341906,0.0009951871,0.0004592949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004828169,0.00017085053,0.027611738,0.00074121647,0.0004029015,0.0000029224539,0.0026748013,0.00013861062,0.0019699666,0.96542037,0.00068807,0.00013027427],"study_design_scores_gemma":[0.00032938944,0.000013206869,0.015689138,0.000146316,0.00018986136,0.0000023880268,0.000056634242,0.00006271097,0.008111739,0.9725924,0.0024092246,0.0003969694],"about_ca_topic_score_codex":0.00014599034,"about_ca_topic_score_gemma":0.000014146935,"teacher_disagreement_score":0.014270573,"about_ca_system_score_codex":0.0000997421,"about_ca_system_score_gemma":0.0003286831,"threshold_uncertainty_score":0.9997838},"labels":[],"label_agreement":null},{"id":"W3044187874","doi":"10.1007/s00023-021-01034-3","title":"BPS Quivers of Five-Dimensional SCFTs, Topological Strings and q-Painlevé Equations","year":2021,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Istituto Nazionale di Fisica Nucleare","keywords":"Cluster algebra; String (physics); Rank (graph theory); Partition function (quantum field theory); Quantum; Symmetry (geometry); Type (biology); Quantum field theory; Field (mathematics); Partition (number theory)","score_opus":0.03961015628804308,"score_gpt":0.2975692064791725,"score_spread":0.2579590501911294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3044187874","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99655384,0.00074620935,0.00039437754,0.00068127114,0.00019405088,0.00009467749,0.00001606089,0.000035880767,0.0012836147],"genre_scores_gemma":[0.99526215,0.000048429574,0.003847424,0.00019469955,0.00007400965,0.000004619555,0.000011619499,0.000012138126,0.00054491556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998923,0.000080171674,0.0002733831,0.00024993686,0.00026973936,0.00020377318],"domain_scores_gemma":[0.99875295,0.00062775274,0.000105676525,0.00023161455,0.00018990437,0.000092071445],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001565713,0.00013732983,0.000272195,0.000045564404,0.000120035205,0.000020025454,0.00010955691,0.00011261427,0.00023948908],"category_scores_gemma":[0.000496812,0.00012137784,0.00009635357,0.00013284541,0.00014439001,0.00007685627,0.00016642752,0.0001375144,0.0000049502764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021792901,0.00006402083,0.0004102974,0.000045899145,0.000061651364,0.000022061773,0.00047193866,0.000018115412,0.00050477905,0.9968849,0.0011575532,0.0003370346],"study_design_scores_gemma":[0.0005271222,0.00008033394,0.0016032552,0.000047508212,0.000048244943,0.00002496103,0.0005258509,0.0003766227,0.0014221398,0.9946752,0.00050807855,0.00016065431],"about_ca_topic_score_codex":0.000039908908,"about_ca_topic_score_gemma":0.000017519771,"teacher_disagreement_score":0.0034530465,"about_ca_system_score_codex":0.000019656369,"about_ca_system_score_gemma":0.00010202929,"threshold_uncertainty_score":0.49496445},"labels":[],"label_agreement":null},{"id":"W3044364766","doi":"10.1090/tran/8240","title":"The first cohomology, derivations, and the reductivity of a (meromorphic open-string) vertex algebra","year":2020,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Meromorphic function; Cohomology; Vertex (graph theory); Vertex operator algebra; Algebra over a field; Pure mathematics; Algebra representation; Discrete mathematics; Jordan algebra; Graph","score_opus":0.02927463167600648,"score_gpt":0.27557302736359346,"score_spread":0.246298395687587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3044364766","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8801107,0.00015506965,0.069875374,0.047930785,0.0001586842,0.0013720407,0.000025657804,0.000052125328,0.0003196148],"genre_scores_gemma":[0.9958766,0.000092905815,0.0035119655,0.0003848506,0.00002227861,0.000058778383,2.3916624e-7,0.00001935938,0.00003299871],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869734,0.00016818785,0.00046537706,0.0001917133,0.00028577502,0.00019161141],"domain_scores_gemma":[0.99651647,0.0023267872,0.00045814333,0.0005662463,0.000069935995,0.00006241847],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0004994571,0.00016390833,0.0005379415,0.00000612609,0.00063170743,0.000042890253,0.0009134155,0.000052014442,0.000040668278],"category_scores_gemma":[0.00041288795,0.00008004199,0.00035492697,0.0004171398,0.003102186,0.00007347702,0.00014207636,0.00031217464,0.000001049487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015132614,0.00013000456,0.000058048554,0.00014100592,0.0004091601,9.530175e-8,0.00394827,0.000025011655,0.00013935575,0.99313927,0.0010011987,0.0008572413],"study_design_scores_gemma":[0.0009730378,0.0001003226,0.0004276131,0.00003989858,0.0002792881,0.0000126480745,0.0020996982,0.0022872475,0.0008645167,0.9926318,0.00017047732,0.00011344558],"about_ca_topic_score_codex":0.00012367382,"about_ca_topic_score_gemma":0.000007788391,"teacher_disagreement_score":0.115765974,"about_ca_system_score_codex":0.000023162713,"about_ca_system_score_gemma":0.0000634506,"threshold_uncertainty_score":0.9996108},"labels":[],"label_agreement":null},{"id":"W3045119470","doi":"10.1142/s0219498821400119","title":"Group gradings and actions of pointed Hopf algebras","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Hopf algebra; Quantum group; Pure mathematics; Associative property; Group (periodic table); Algebra over a field; Matrix (chemical analysis); Nest algebra; Non-associative algebra; Universal enveloping algebra","score_opus":0.04505814250029573,"score_gpt":0.2919613500864157,"score_spread":0.24690320758612,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045119470","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9886797,0.00083076494,0.007123724,0.0028338076,0.00006735283,0.00022335938,0.0000071523527,0.000017630902,0.00021651747],"genre_scores_gemma":[0.9971972,0.00034591908,0.0020129797,0.00018773675,0.00021276319,0.000008760204,9.756722e-7,0.000015311378,0.00001836388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991106,0.000021869393,0.00045626526,0.00012563862,0.00017829849,0.00010734947],"domain_scores_gemma":[0.9989084,0.00019875781,0.00043232128,0.00010009495,0.0001735475,0.00018685365],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001115262,0.00011408249,0.00029512466,0.000070810216,0.000119636636,0.000027341654,0.00013993903,0.000068629844,0.000038062917],"category_scores_gemma":[0.00013551625,0.000093627794,0.00008196269,0.00021431204,0.000055977496,0.00017198539,0.000051536234,0.00019357595,0.0000011138349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002452328,0.00004667003,0.00008100421,0.00006572922,0.00007424248,6.7947786e-7,0.00062476035,2.1952894e-7,0.005298629,0.9917248,0.0007221743,0.0013365638],"study_design_scores_gemma":[0.00065884,0.00023407087,0.00070842163,0.000033528442,0.00015325665,0.00008478543,0.000445432,0.000086788204,0.0021737819,0.9915154,0.0037886782,0.000117020645],"about_ca_topic_score_codex":0.0000021993667,"about_ca_topic_score_gemma":7.014113e-7,"teacher_disagreement_score":0.0085175,"about_ca_system_score_codex":0.000010792546,"about_ca_system_score_gemma":0.000029881156,"threshold_uncertainty_score":0.38180307},"labels":[],"label_agreement":null},{"id":"W3048455889","doi":"10.1007/s00023-021-01064-x","title":"Temperley–Lieb, Birman–Murakami–Wenzl and Askey–Wilson Algebras and Other Centralizers of $$U_q(\\mathfrak {sl}_2)$$","year":2021,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Pure mathematics","score_opus":0.030975981342148674,"score_gpt":0.28990452828520646,"score_spread":0.2589285469430578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3048455889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9924779,0.0037394965,0.00009387203,0.00055035285,0.00035291232,0.00025115258,0.000038283586,0.00008628388,0.0024097317],"genre_scores_gemma":[0.99636054,0.00060290616,0.0012600161,0.0006469399,0.00019500148,0.000012366904,0.000009044755,0.00007644837,0.0008367598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978956,0.00014319987,0.0005437559,0.00051787664,0.00041451873,0.0004850575],"domain_scores_gemma":[0.9985212,0.0003178158,0.00023569747,0.0005425584,0.00015839367,0.00022432223],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002438418,0.00036729794,0.00062458956,0.00009919169,0.00015531114,0.00008622198,0.00020698049,0.00023364992,0.00026192956],"category_scores_gemma":[0.00018814791,0.00032849147,0.0001600698,0.00022818908,0.00023145908,0.00017252777,0.00021118185,0.0002349538,0.000009624848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000101512574,0.0002106675,0.012332166,0.00071649574,0.00037722723,0.00007161929,0.004168877,0.0000033950218,0.003532159,0.9677065,0.007273537,0.0035058348],"study_design_scores_gemma":[0.0019147901,0.0002030103,0.0049471296,0.0002884282,0.00021113199,0.0001446238,0.0016076306,0.00019454664,0.011333372,0.9604387,0.018014014,0.00070262083],"about_ca_topic_score_codex":0.000092105925,"about_ca_topic_score_gemma":0.000037050606,"teacher_disagreement_score":0.010740477,"about_ca_system_score_codex":0.000030066312,"about_ca_system_score_gemma":0.00010825163,"threshold_uncertainty_score":0.99991673},"labels":[],"label_agreement":null},{"id":"W3048635669","doi":"10.1007/jhep02(2021)132","title":"Orbifold groupoids","year":2021,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":234,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Perimeter Institute","funders":"Natural Sciences and Engineering Research Council of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Krembil Foundation; Government of Canada; Ministry of Colleges and Universities","keywords":"Orbifold; Field (mathematics); Extension (predicate logic); Mathematics; Homogeneous space; Topological quantum field theory; Pure mathematics; Quantum field theory; Type (biology); Theoretical physics; Physics; Computer science; Mathematical physics; Geometry; Ecology; Biology","score_opus":0.01986026705591606,"score_gpt":0.2545817787418392,"score_spread":0.23472151168592312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3048635669","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8158516,0.0006840429,0.1751495,0.00048591377,0.0046485877,0.00002549727,0.000003084235,0.000034803776,0.0031169155],"genre_scores_gemma":[0.9937303,0.00006506159,0.0037836442,0.00018178456,0.0017312168,6.786775e-7,0.0000012490789,0.000024098068,0.00048195617],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897844,0.00005087389,0.0003524057,0.00009553162,0.0003688997,0.00015383388],"domain_scores_gemma":[0.99889743,0.00014365453,0.00032358433,0.00022121084,0.00033077982,0.00008336072],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000082549835,0.00012214274,0.00032691308,0.000023189052,0.000052907224,0.000035343845,0.00018112596,0.00006850813,0.00006973653],"category_scores_gemma":[0.000065616885,0.00009800818,0.00020497366,0.0001688513,0.00002091825,0.00014305623,0.000058434754,0.00016967603,0.0000014246082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014846228,0.000093798924,0.000013626648,0.0000102061595,0.00010208702,0.00007741448,0.000058232767,0.000056290122,0.00022414123,0.9947298,0.0026826751,0.0019368366],"study_design_scores_gemma":[0.0005199996,0.00007211742,0.000048190435,0.000029708148,0.00006518454,0.00009584525,0.00003411607,0.000013904581,0.01773098,0.97909343,0.0021894898,0.00010701534],"about_ca_topic_score_codex":0.000011161471,"about_ca_topic_score_gemma":0.0000025221516,"teacher_disagreement_score":0.17787866,"about_ca_system_score_codex":0.00004213519,"about_ca_system_score_gemma":0.00012176967,"threshold_uncertainty_score":0.39966577},"labels":[],"label_agreement":null},{"id":"W3059896358","doi":"10.2140/pjm.2021.311.455","title":"Frobenius nil-Hecke algebras","year":2021,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Clifford algebra; Frobenius algebra; Pure mathematics; Superalgebra; Non-associative algebra; Quadratic algebra; Interior algebra; Ring (chemistry); Nest algebra; Algebra over a field; Algebra representation; Division algebra; Chemistry","score_opus":0.03410390670181209,"score_gpt":0.2851833883198162,"score_spread":0.25107948161800414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3059896358","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9140594,0.0019060479,0.052706912,0.0007741662,0.0038049906,0.0002249745,0.000009579203,0.00008227862,0.026431648],"genre_scores_gemma":[0.911495,0.00012246864,0.08604898,0.00004834331,0.0005586954,0.0000021888645,0.000001204624,0.000058741927,0.0016644165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976573,0.000088329965,0.0010588176,0.00016139827,0.00072274456,0.00031139827],"domain_scores_gemma":[0.99727875,0.00061165454,0.00082428055,0.0004956674,0.00060474855,0.00018488098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006554846,0.00024274626,0.00068457966,0.00010056902,0.00009775736,0.00009887674,0.00036961655,0.0001508943,0.0007246949],"category_scores_gemma":[0.0011709832,0.00019241979,0.00036115936,0.00025178946,0.0000581216,0.00015293284,0.000094327166,0.00041006925,0.00004528558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015799065,0.00045405474,0.0001244628,0.00025922994,0.00027616954,0.00023862223,0.0027959247,0.000014168523,0.0007633814,0.9820831,0.012317106,0.00065800815],"study_design_scores_gemma":[0.0007040104,0.00007533949,0.000016881042,0.0001764256,0.00016036026,0.0012068086,0.004656975,0.00013067483,0.0050633685,0.9856256,0.0019750972,0.00020843075],"about_ca_topic_score_codex":6.9049884e-7,"about_ca_topic_score_gemma":8.342112e-7,"teacher_disagreement_score":0.033342075,"about_ca_system_score_codex":0.00006908304,"about_ca_system_score_gemma":0.00021843263,"threshold_uncertainty_score":0.7934901},"labels":[],"label_agreement":null},{"id":"W3062779059","doi":"10.4310/hha.2024.v26.n1.a18","title":"Szczarba’s twisting cochain is comultiplicative","year":2024,"lang":"en","type":"article","venue":"Homology Homotopy and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cartesian product; Tensor product; Isomorphism (crystallography); Pure mathematics; Product (mathematics); Simplicial set; Set (abstract data type); Model category; Algebra over a field; Combinatorics; Computer science; Geometry; Homotopy; Crystallography; Programming language","score_opus":0.03223387854862032,"score_gpt":0.3418372075860584,"score_spread":0.3096033290374381,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3062779059","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5526202,0.0093896175,0.387418,0.009626925,0.0011098271,0.00374662,0.00021235633,0.0018101556,0.03406631],"genre_scores_gemma":[0.99451756,0.00007152731,0.003002348,0.00029848795,0.00028742346,0.00063520117,0.000010481487,0.00002694711,0.0011499904],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904567,0.000035888515,0.0002276999,0.00039316522,0.000087465785,0.00021012123],"domain_scores_gemma":[0.998967,0.00052441296,0.000052508003,0.0003290305,0.000047324444,0.00007971145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013679215,0.00015576926,0.000202699,0.00006265999,0.00023641901,0.000052429463,0.00016161731,0.00014149238,0.00010499049],"category_scores_gemma":[0.000034746583,0.00013918166,0.00006218204,0.00020161124,0.0001995083,0.0000494537,0.000089746514,0.00022595613,0.000043072694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003625943,0.000029148916,0.00008188892,0.000060926064,0.000040780218,0.0000030342278,0.00065569725,2.412756e-7,0.0001580701,0.98944193,0.0016713147,0.007853365],"study_design_scores_gemma":[0.00014228474,0.0000333039,0.00013424967,0.000022892915,0.000045823566,0.000057390083,0.00013963191,0.00065159,0.0004238453,0.9604809,0.03771663,0.00015145082],"about_ca_topic_score_codex":0.0000158172,"about_ca_topic_score_gemma":0.000003376777,"teacher_disagreement_score":0.44189742,"about_ca_system_score_codex":0.000026561844,"about_ca_system_score_gemma":0.000038704333,"threshold_uncertainty_score":0.56756634},"labels":[],"label_agreement":null},{"id":"W3080329126","doi":"10.1090/conm/753/15162","title":"The level one Zhu algebra for the Virasoro vertex operator algebra","year":2020,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Virasoro algebra; Mathematics; Vertex operator algebra; Algebra over a field; Filtered algebra; Vertex (graph theory); Cellular algebra; Current algebra; Operator (biology); Algebra representation; Pure mathematics; Jordan algebra; Discrete mathematics; Graph","score_opus":0.08495673590814971,"score_gpt":0.3074525094429285,"score_spread":0.22249577353477878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3080329126","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0004387255,0.012746991,0.58609456,0.027081504,0.0042680437,0.025188591,0.0018513395,0.004106171,0.33822408],"genre_scores_gemma":[0.038899846,0.0029371162,0.4140346,0.01170856,0.007950192,0.00802563,0.00029106095,0.010140737,0.50601226],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99373454,0.0002444464,0.001960624,0.0011831189,0.0016454451,0.0012318105],"domain_scores_gemma":[0.98418295,0.010390174,0.0020419178,0.002645295,0.00021293719,0.0005266989],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0013963036,0.0015346251,0.0027238873,0.00006182453,0.0011266378,0.00059754483,0.0030345474,0.0006797229,0.00093327946],"category_scores_gemma":[0.0025589922,0.00090585195,0.0019331047,0.00067368994,0.0021210664,0.00013197307,0.0008017007,0.0012731114,0.00022561979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025372197,0.0002298071,8.8889743e-7,0.00096191466,0.0014014349,0.000002158814,0.001200301,1.9578077e-7,0.000014088252,0.5016447,0.49376777,0.0007514027],"study_design_scores_gemma":[0.0010810707,0.0002482634,0.0000018770762,0.0006002284,0.0006720494,0.000010981996,0.003264376,0.0030933758,0.000057919886,0.7750831,0.21480449,0.0010822364],"about_ca_topic_score_codex":0.0000554923,"about_ca_topic_score_gemma":0.000013387434,"teacher_disagreement_score":0.27896327,"about_ca_system_score_codex":0.00019191374,"about_ca_system_score_gemma":0.0005896522,"threshold_uncertainty_score":0.99998003},"labels":[],"label_agreement":null},{"id":"W3082730877","doi":"10.1093/imrn/rnab080","title":"Tensor Structure on the Kazhdan–Lusztig Category for Affine 𝔤𝔩(1|1)","year":2021,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subcategory; Affine transformation; Tensor product; Affine representation; Tensor product of algebras; Fundamental representation; Tensor (intrinsic definition); Algebra over a field; Lie superalgebra","score_opus":0.22460271835776885,"score_gpt":0.4429654310593269,"score_spread":0.21836271270155805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3082730877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92723835,0.00021832182,0.003675072,0.02714434,0.0042414754,0.0018778684,0.0002605851,0.00016952623,0.035174455],"genre_scores_gemma":[0.9812568,0.000016997636,0.010283186,0.0002803684,0.0012694754,0.00014368014,0.000027284808,0.000065315086,0.006656883],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99686605,0.0001701754,0.0004716966,0.00041451532,0.0015913273,0.00048621825],"domain_scores_gemma":[0.99039185,0.0071965377,0.0001824546,0.00069339894,0.001431265,0.00010446725],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011060061,0.0002392357,0.00030154423,0.00015615879,0.0003975,0.0003813789,0.0010869562,0.00015092207,0.0015597487],"category_scores_gemma":[0.0073961355,0.00015443245,0.00018046051,0.00026342148,0.00017561487,0.00012618548,0.00031043796,0.00056625396,0.00004888292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048139344,0.00019657415,0.0000117994,0.00015300784,0.00018916906,0.000010288986,0.00079526973,0.00006179736,0.0012558074,0.9826596,0.014191837,0.0004267217],"study_design_scores_gemma":[0.00047516992,0.00008359474,0.00003631619,0.000119135446,0.000025424692,0.000015410653,0.0011294058,0.0037632661,0.0141538475,0.9701156,0.009905985,0.00017685145],"about_ca_topic_score_codex":0.000013825185,"about_ca_topic_score_gemma":0.000046861733,"teacher_disagreement_score":0.054018456,"about_ca_system_score_codex":0.00014855344,"about_ca_system_score_gemma":0.00019466228,"threshold_uncertainty_score":0.99935293},"labels":[],"label_agreement":null},{"id":"W3084846892","doi":"10.1007/s10468-021-10099-x","title":"McKay Quivers and Lusztig Algebras of Some Finite Groups","year":2021,"lang":"en","type":"preprint","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick; The Scarborough Hospital; Carleton University; University of Toronto","funders":"H2020 Marie Skłodowska-Curie Actions; Leibniz-Gemeinschaft; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Mathematics; Group (periodic table); Finite group; Vector space; Combinatorics; Pure mathematics; Algebra over a field; Physics","score_opus":0.02957571062967779,"score_gpt":0.29788277493212895,"score_spread":0.26830706430245116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3084846892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99075717,0.004019172,0.0024220874,0.00018796994,0.0012991361,0.000506245,0.000025280518,0.00007323034,0.000709688],"genre_scores_gemma":[0.99629927,0.00148521,0.0011600038,0.0001455483,0.00030491097,0.000040753614,0.00006740693,0.000060460316,0.0004364192],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974137,0.00041743825,0.00067909766,0.0007848024,0.00042048673,0.00028446977],"domain_scores_gemma":[0.9969413,0.0013893592,0.0005856331,0.0007456741,0.00018045037,0.00015753253],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005377773,0.00041702445,0.000791822,0.00017752768,0.00016177728,0.00014784344,0.00026707153,0.0004665566,0.00021681085],"category_scores_gemma":[0.00055568496,0.00037598668,0.00022547839,0.00014190453,0.0003941409,0.00022945108,0.0010025479,0.0005023139,0.0000015287982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092496775,0.00006368147,0.00083807274,0.000529178,0.0003914355,0.00001681638,0.0038014927,0.000033220695,0.0002378711,0.9912818,0.00018059301,0.0025333276],"study_design_scores_gemma":[0.00077251205,0.00005146318,0.0021831593,0.00022247755,0.00028269517,0.000015501477,0.0028248443,0.0001305508,0.0028637536,0.99025345,0.00001860852,0.00038101338],"about_ca_topic_score_codex":0.00009723689,"about_ca_topic_score_gemma":0.000008155521,"teacher_disagreement_score":0.0055420958,"about_ca_system_score_codex":0.000029610957,"about_ca_system_score_gemma":0.00011336561,"threshold_uncertainty_score":0.9998692},"labels":[],"label_agreement":null},{"id":"W3085198291","doi":"10.1016/j.jpaa.2021.106792","title":"Quantum Frobenius Heisenberg categorification","year":2021,"lang":"en","type":"preprint","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Government of Canada; National Sleep Foundation; Innovation, Science and Economic Development Canada; National Science Foundation","keywords":"Categorification; Morphism; Mathematics; Pure mathematics; Ring (chemistry)","score_opus":0.027703569540657346,"score_gpt":0.2733437144328773,"score_spread":0.24564014489221997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3085198291","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9889269,0.0025002528,0.004901555,0.00045333017,0.002145346,0.0002544865,0.0000048528236,0.00002893327,0.0007843557],"genre_scores_gemma":[0.9950016,0.0005020448,0.0028095876,0.0000940525,0.0014563624,0.000011512045,0.000013188512,0.000050067534,0.00006159594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798197,0.000057257977,0.00089199236,0.0003290777,0.0005015666,0.00023816818],"domain_scores_gemma":[0.9977437,0.00015553163,0.0012188976,0.0004319155,0.00027387356,0.00017603228],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003808926,0.00035567756,0.0008629808,0.00012487118,0.000098632576,0.0002285414,0.00037576898,0.00050101854,0.00008697282],"category_scores_gemma":[0.00008122993,0.0002904018,0.00027690886,0.00010543104,0.000050837953,0.00007905845,0.00030079,0.0011634291,0.0000017807668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006299637,0.000114593015,0.000024051475,0.00030221045,0.00038176007,0.000029598406,0.0009982821,0.000043922024,0.00093113957,0.9922177,0.002661566,0.0022321553],"study_design_scores_gemma":[0.0006222395,0.00004468712,0.00015873213,0.0001448371,0.00035636305,0.00009375546,0.0007778794,0.000047225476,0.0017350517,0.99526376,0.00045373835,0.00030176007],"about_ca_topic_score_codex":0.000005143281,"about_ca_topic_score_gemma":0.0000039906718,"teacher_disagreement_score":0.0060747005,"about_ca_system_score_codex":0.00006223887,"about_ca_system_score_gemma":0.00026433554,"threshold_uncertainty_score":0.9999548},"labels":[],"label_agreement":null},{"id":"W3085590929","doi":"10.2140/involve.2023.16.547","title":"Number of triangulations of a Möbiusstrip","year":2023,"lang":"en","type":"article","venue":"Involve a Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Triangulation; Combinatorics; Connection (principal bundle); Enhanced Data Rates for GSM Evolution; Mathematics; Cluster (spacecraft); Geometry; Computer science; Artificial intelligence","score_opus":0.07662419903973612,"score_gpt":0.3532171180670617,"score_spread":0.2765929190273256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3085590929","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99411726,0.00009207151,0.004192246,0.000085445856,0.00044267398,0.00013850404,0.000009042698,0.000019177598,0.0009035995],"genre_scores_gemma":[0.9733692,0.0000457725,0.02622049,0.000007950893,0.00014683793,0.000002062369,8.533286e-7,0.000027204813,0.00017963958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997916,0.000047551082,0.0012393804,0.00006805242,0.00057286496,0.0001561864],"domain_scores_gemma":[0.9965155,0.0011688598,0.001470938,0.00029286693,0.00048234564,0.00006948676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076006865,0.00012995087,0.0006210058,0.00018393897,0.000030415333,0.000009868223,0.00031444957,0.00010348639,0.00014653239],"category_scores_gemma":[0.0014186206,0.00010009549,0.0003226749,0.00050841627,0.0000747331,0.00009644522,0.00006291042,0.00015754242,0.000008265346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044994915,0.0003783721,0.00053299236,0.0007429021,0.00036583244,0.000015629286,0.0075497082,0.00012394745,0.0011343277,0.98359543,0.0051015317,0.00041430237],"study_design_scores_gemma":[0.00082822103,0.000105999694,0.00010308261,0.00031398179,0.00015314433,0.000059593745,0.0015848367,0.00055050635,0.0030150143,0.99310243,0.00009634995,0.0000868455],"about_ca_topic_score_codex":0.0000035200333,"about_ca_topic_score_gemma":0.0000010249618,"teacher_disagreement_score":0.022028243,"about_ca_system_score_codex":0.000022779428,"about_ca_system_score_gemma":0.0001196623,"threshold_uncertainty_score":0.40817755},"labels":[],"label_agreement":null},{"id":"W3087074213","doi":"10.1007/s10468-020-09960-2","title":"Quantized GIM Algebras and their Images in Quantized Kac-Moody Algebras","year":2020,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Science and Technology Commission of Shanghai Municipality; Natural Sciences and Engineering Research Council of Canada; Natural Science Foundation of Jiangsu Province; National Natural Science Foundation of China","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.03923805974066969,"score_gpt":0.30360821018086986,"score_spread":0.2643701504402002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3087074213","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9900008,0.002085344,0.00339366,0.0020569605,0.00037135254,0.00075755187,0.000014257389,0.00020413286,0.0011159286],"genre_scores_gemma":[0.99707025,0.00053502433,0.0009588406,0.00084219367,0.00025913186,0.00005433052,0.00002070978,0.00007937482,0.00018014782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99694616,0.00060019037,0.00077862135,0.00085945934,0.00033875994,0.0004768252],"domain_scores_gemma":[0.99732053,0.00150859,0.00031024055,0.00047061354,0.00009487239,0.0002951688],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006921836,0.00048066914,0.0008021981,0.00017025966,0.00023925217,0.0001937721,0.0003049363,0.00024682883,0.00026336097],"category_scores_gemma":[0.0009274423,0.00037601255,0.00016538906,0.00045647172,0.00033353455,0.00040662242,0.00028644226,0.00039733906,0.000015633641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00050323777,0.00008153038,0.0030933428,0.00013681455,0.00014576058,0.000021456395,0.006326685,0.0000043727628,0.005124065,0.9798998,0.0007099148,0.0039529926],"study_design_scores_gemma":[0.0032520895,0.00014485215,0.004512685,0.0000623349,0.000077026256,0.000025810208,0.0041924505,0.0004169261,0.009827495,0.97687346,0.00014232247,0.00047252502],"about_ca_topic_score_codex":0.00009286936,"about_ca_topic_score_gemma":0.000017081005,"teacher_disagreement_score":0.0070694345,"about_ca_system_score_codex":0.000024285266,"about_ca_system_score_gemma":0.000058323225,"threshold_uncertainty_score":0.99986917},"labels":[],"label_agreement":null},{"id":"W3087965018","doi":"10.1007/jhep01(2021)072","title":"Wilson-’t Hooft lines as transfer matrices","year":2021,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Japan Society for the Promotion of Science; RIKEN; Institut Périmètre de physique théorique; Government of Canada","keywords":"Integrable system; Embedding; Gauge theory; Quantum field theory; String theory; Supersymmetry; Transfer (computing); Field (mathematics); Product (mathematics)","score_opus":0.016925104620302975,"score_gpt":0.259534851123783,"score_spread":0.24260974650348002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3087965018","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9273998,0.0012669839,0.067377456,0.0006877128,0.0023111536,0.00002569952,0.0000035773785,0.000027280928,0.000900334],"genre_scores_gemma":[0.99481803,0.00035316264,0.001978708,0.00021081814,0.0021352088,0.0000011380047,0.0000016479854,0.00003106765,0.0004702393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877363,0.00005674551,0.00042695954,0.00012272647,0.00044293975,0.0001770032],"domain_scores_gemma":[0.9989099,0.00019861254,0.0001899342,0.00020727316,0.00039741516,0.00009685081],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000081958584,0.00016488758,0.000405333,0.000035449968,0.00006742393,0.000054317687,0.00021692408,0.00008999017,0.00007943143],"category_scores_gemma":[0.000059361697,0.00012803113,0.0002677883,0.00021567725,0.00002587428,0.00020342667,0.000033233693,0.00019080927,0.0000025267282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033783643,0.00011683113,0.000010768192,0.000023922135,0.0001457326,0.00008574647,0.00013118719,0.00012528326,0.0003311249,0.9953919,0.0011079148,0.0024958127],"study_design_scores_gemma":[0.00061171065,0.00010649713,0.00003090801,0.000056584297,0.00012483305,0.00012337815,0.000059345977,0.000018938921,0.032294292,0.963859,0.00257285,0.00014162966],"about_ca_topic_score_codex":0.000026537842,"about_ca_topic_score_gemma":0.0000045098823,"teacher_disagreement_score":0.06741821,"about_ca_system_score_codex":0.00003065583,"about_ca_system_score_gemma":0.00017548054,"threshold_uncertainty_score":0.52209574},"labels":[],"label_agreement":null},{"id":"W3088397607","doi":"10.1016/j.aim.2022.108281","title":"Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; University of Toronto","funders":"","keywords":"Mathematics; Grassmannian; Affine transformation; Quiver; Pure mathematics; Symplectic geometry; Hamiltonian (control theory); Reduction (mathematics); Lie algebra; Geometry","score_opus":0.02102058842703889,"score_gpt":0.30583556569343734,"score_spread":0.28481497726639843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3088397607","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98919386,0.001332388,0.004940157,0.00045753716,0.001085253,0.0012195574,0.000036778543,0.00018492938,0.0015495538],"genre_scores_gemma":[0.9372413,0.00013591787,0.06134274,0.000039683204,0.00013076386,0.00041291825,0.000016942357,0.000061416955,0.00061831356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986848,0.000047311,0.00042876456,0.0002894066,0.0002622554,0.00028746546],"domain_scores_gemma":[0.9990533,0.00032213263,0.0002300682,0.00030044845,0.00004300553,0.000051034658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036051247,0.00019970731,0.00034597475,0.00013515675,0.0002656625,0.000032522505,0.00023881759,0.0000587318,0.00008449044],"category_scores_gemma":[0.00018831687,0.0001912319,0.00006559686,0.00031102423,0.00006352814,0.00021258534,0.00011507325,0.00019136255,7.8693796e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058173257,0.00022112197,0.000090356996,0.00041118587,0.000030610016,0.000003460989,0.005196936,0.00029138091,0.00017987643,0.9883382,0.00020486736,0.004973873],"study_design_scores_gemma":[0.00082215,0.00014287564,0.000074083284,0.000036445486,0.000037353235,0.00003321023,0.0026957628,0.0030719978,0.00015636566,0.9876546,0.0050466033,0.00022854377],"about_ca_topic_score_codex":0.000007113598,"about_ca_topic_score_gemma":0.00002899971,"teacher_disagreement_score":0.056402583,"about_ca_system_score_codex":0.000095914,"about_ca_system_score_gemma":0.000026185433,"threshold_uncertainty_score":0.77982104},"labels":[],"label_agreement":null},{"id":"W3088704635","doi":"10.21468/scipostphys.14.6.169","title":"A new class of higher quantum Airy structures as modules of $\\mathcal{W}(\\mathfrak{gl}_r)$-algebras","year":2023,"lang":"en","type":"preprint","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quantum; Automorphism; Pure mathematics; Physics; Algebra over a field; Mathematics; Quantum mechanics","score_opus":0.061470917928174336,"score_gpt":0.3323220591092403,"score_spread":0.27085114118106596,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3088704635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98177195,0.0007336425,0.0043993904,0.0003978526,0.009019838,0.0012562867,0.00033433983,0.0004916942,0.0015949925],"genre_scores_gemma":[0.991589,0.00006988882,0.0048205187,0.000057518202,0.0016055792,0.000037154827,0.00008799497,0.00026728216,0.0014650773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995543,0.00015420301,0.0013303376,0.0009714291,0.0013727793,0.00062824856],"domain_scores_gemma":[0.9951886,0.0005259466,0.0015075462,0.0020755555,0.0004488426,0.00025349163],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026280442,0.0008737995,0.0018209288,0.00018458451,0.000111831054,0.00008313144,0.0014873067,0.0008772377,0.00019163864],"category_scores_gemma":[0.0002291306,0.00079153455,0.00082619,0.00047446857,0.0002904689,0.00013496962,0.0018743755,0.0010911297,0.00003953326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000097020114,0.000109612265,0.00006019203,0.0016220984,0.00056147814,0.000007929123,0.0011963934,0.0006559574,0.0006574033,0.9866715,0.0070055355,0.0013548537],"study_design_scores_gemma":[0.0006553895,0.00015705614,0.0010250725,0.0006423245,0.00036082912,0.0000027034355,0.00012218348,0.000549081,0.00976371,0.98581696,0.00022845279,0.00067625893],"about_ca_topic_score_codex":0.0008404418,"about_ca_topic_score_gemma":0.000022102173,"teacher_disagreement_score":0.009817022,"about_ca_system_score_codex":0.00011560653,"about_ca_system_score_gemma":0.0006848508,"threshold_uncertainty_score":0.99945354},"labels":[],"label_agreement":null},{"id":"W3089908516","doi":"10.1016/j.jpaa.2020.106527","title":"Finite-dimensional Hopf algebras over the Hopf algebra Hd:−1,1 of Kashina","year":2020,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Science and Technology Commission of Shanghai Municipality; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Hopf algebra; Mathematics; Representation theory of Hopf algebras; Quasitriangular Hopf algebra; Pure mathematics; Quantum group; Algebra over a field; Division algebra; Simple (philosophy); Filtered algebra","score_opus":0.02175085539975157,"score_gpt":0.2513763026652623,"score_spread":0.2296254472655107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3089908516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9941186,0.00087482476,0.0006558464,0.0028774752,0.00043114155,0.00028310766,0.000010935483,0.000026525087,0.00072157115],"genre_scores_gemma":[0.9957729,0.00006830303,0.0011816943,0.0018204527,0.001064899,0.0000055451196,0.000002298809,0.000049539965,0.000034377965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974015,0.000078976846,0.0010137274,0.0002790297,0.00088302686,0.00034379167],"domain_scores_gemma":[0.9973577,0.0008598794,0.0010026012,0.00031082306,0.00018070747,0.00028826031],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005072755,0.0003547988,0.0008087574,0.0000895028,0.00020118977,0.000078748715,0.000555019,0.00021469164,0.00033515916],"category_scores_gemma":[0.00030268505,0.00022313313,0.00031540255,0.00033022932,0.00018677347,0.00016867521,0.00022631923,0.00070978404,0.0000072048983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003297071,0.00011322599,0.00017836603,0.00012604432,0.0003410542,0.000023829089,0.0019197741,0.00008575815,0.0020484598,0.9771068,0.015638772,0.0020881733],"study_design_scores_gemma":[0.0019001577,0.0003590193,0.0011011132,0.000073416806,0.0002782808,0.0000663139,0.0005185299,0.00018308306,0.0035033603,0.98958987,0.002120763,0.00030606537],"about_ca_topic_score_codex":0.0000034165503,"about_ca_topic_score_gemma":0.0000020540592,"teacher_disagreement_score":0.013518009,"about_ca_system_score_codex":0.000023421615,"about_ca_system_score_gemma":0.00014212276,"threshold_uncertainty_score":0.9099105},"labels":[],"label_agreement":null},{"id":"W3091134735","doi":"10.1007/jhep02(2021)039","title":"Fun with F24","year":2021,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Fonds de recherche du Québec – Nature et technologies; National Science Foundation; Vetenskapsrådet; Office of Science; Canada Research Chairs; California Institute of Technology; High Energy Physics; U.S. Department of Energy","keywords":"Superstring theory; Holomorphic function; Dimension (graph theory); Supersymmetry; Field (mathematics); BRST quantization; String theory; Algebra over a field","score_opus":0.016243147380575366,"score_gpt":0.24040636204105276,"score_spread":0.2241632146604774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091134735","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81995356,0.0003835954,0.17478448,0.00040877794,0.0016446317,0.000022650327,0.0000021510166,0.000023729206,0.002776444],"genre_scores_gemma":[0.99295807,0.00003285238,0.0053168987,0.00013475215,0.0010752503,6.5072106e-7,8.584896e-7,0.000022407707,0.00045826694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915814,0.00003503358,0.00024218885,0.000084624226,0.0003495624,0.00013046048],"domain_scores_gemma":[0.99900424,0.00010391908,0.00029076103,0.0001914631,0.00033907333,0.00007055765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000051609877,0.000110535155,0.00028150534,0.000017976716,0.000046074558,0.000031361225,0.00013270718,0.000045807865,0.000045651195],"category_scores_gemma":[0.000026048603,0.000076287215,0.00010963172,0.00014545926,0.000023510242,0.00011896261,0.00003386697,0.00014532423,8.002307e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035049306,0.000079053476,0.000018321698,0.00000998128,0.00012519659,0.000096746044,0.000064319436,0.00014646223,0.000085506894,0.99650836,0.0012149932,0.0016159969],"study_design_scores_gemma":[0.000619045,0.00013230971,0.000045768615,0.000042661242,0.00007492055,0.00014336876,0.000046878227,0.000009946468,0.013944712,0.98317945,0.0016608073,0.00010012096],"about_ca_topic_score_codex":0.0000074206896,"about_ca_topic_score_gemma":0.000003851156,"teacher_disagreement_score":0.17300452,"about_ca_system_score_codex":0.000030434903,"about_ca_system_score_gemma":0.0001494774,"threshold_uncertainty_score":0.31109023},"labels":[],"label_agreement":null},{"id":"W3091167129","doi":"10.1088/2399-6528/abbcb2","title":"su(2) spin s representations via CP2s sigma models*","year":2020,"lang":"lv","type":"article","venue":"Journal of Physics Communications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Trois-Rivières","funders":"","keywords":"Algorithm; Physics; Artificial intelligence; Computer science","score_opus":0.1137643706997032,"score_gpt":0.3454253349551591,"score_spread":0.2316609642554559,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091167129","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.057545505,0.008887848,0.8427543,0.07094804,0.0025111283,0.0013504608,0.0001461445,0.0001506533,0.015705941],"genre_scores_gemma":[0.9755315,0.0010922375,0.021479042,0.0005149515,0.001196193,0.000009148868,0.000015747699,0.000072581606,0.00008855096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99695057,0.00041203666,0.0014329161,0.00022280304,0.0006730473,0.0003086361],"domain_scores_gemma":[0.9939481,0.0008732707,0.0017537628,0.002087608,0.00096221146,0.00037507393],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00031548372,0.00032529418,0.00072563504,0.00007526822,0.0005004157,0.00020546469,0.002524045,0.00017313958,0.0000851735],"category_scores_gemma":[0.00034456523,0.0003219126,0.00060652394,0.00065791415,0.00025309302,0.00073139486,0.0008181161,0.0012832718,0.00003314728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004557736,0.00048340758,0.000035198595,0.00008076785,0.0004654119,0.0000049340656,0.007833982,0.0065674963,0.0006001437,0.97665304,0.0037858428,0.0034441897],"study_design_scores_gemma":[0.00090294215,0.00021368888,0.000026376285,0.00012703902,0.00049244903,0.000020875468,0.0012364696,0.12522031,0.000268406,0.86974716,0.0014745032,0.00026977228],"about_ca_topic_score_codex":0.00004697106,"about_ca_topic_score_gemma":0.0000055639653,"teacher_disagreement_score":0.91798604,"about_ca_system_score_codex":0.00012202461,"about_ca_system_score_gemma":0.0003865667,"threshold_uncertainty_score":0.9999233},"labels":[],"label_agreement":null},{"id":"W3091854822","doi":"10.1017/fms.2022.15","title":"Urod algebras and Translation of W-algebras","year":2022,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; National Research University Higher School of Economics","keywords":"Vertex operator algebra; Pure mathematics; Automorphism; Mathematics; Subalgebra; Vertex (graph theory); Affine transformation; Isomorphism (crystallography); Algebra over a field; Combinatorics; Algebra representation; Jordan algebra","score_opus":0.02850145603314763,"score_gpt":0.26665341383658,"score_spread":0.23815195780343235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091854822","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99012136,0.0004217302,0.006427404,0.00028128823,0.00026400792,0.00045469185,0.000034631972,0.00004889458,0.001945986],"genre_scores_gemma":[0.98329425,0.000010324643,0.016478606,0.000024274761,0.000023830693,0.000028984836,0.0000050867575,0.000037391455,0.000097271564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983713,0.00005826411,0.0006349516,0.00019107407,0.00053036574,0.00021406758],"domain_scores_gemma":[0.9985593,0.0004890009,0.00044343877,0.00039065137,0.000062915,0.00005468437],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003940124,0.00017332463,0.00046538824,0.000114032104,0.0001292105,0.000009506062,0.00026258553,0.00006545237,0.00036259618],"category_scores_gemma":[0.0001387954,0.00016397887,0.00013152431,0.00019996421,0.00008564413,0.000075142096,0.00017157974,0.000154134,7.602841e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018494047,0.0002205157,0.0001434428,0.00040958,0.000066372755,0.0000010609969,0.0028632828,0.0000311702,0.000961193,0.99370116,0.00042231352,0.0011614435],"study_design_scores_gemma":[0.00065466925,0.00024910853,0.000037906586,0.00003404206,0.00008096903,0.000018442073,0.0019365253,0.0012980847,0.0045590433,0.9906969,0.0002778636,0.00015641365],"about_ca_topic_score_codex":0.0000120963205,"about_ca_topic_score_gemma":0.000003627906,"teacher_disagreement_score":0.010051202,"about_ca_system_score_codex":0.000022362256,"about_ca_system_score_gemma":0.000042272466,"threshold_uncertainty_score":0.6686864},"labels":[],"label_agreement":null},{"id":"W3092204845","doi":"10.1063/5.0032525","title":"Bilinear expansions of lattices of KP <b> <i>τ</i> </b>-functions in BKP <b> <i>τ</i> </b>-functions: A fermionic approach","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lattice (music); Monomial; Factorization; Mathematics; Symmetric function; Pure mathematics; Creation and annihilation operators; Rational function; Bilinear interpolation; Toda lattice; Product (mathematics); Mathematical physics; Physics; Integrable system; Quantum mechanics; Quantum","score_opus":0.04777041275712131,"score_gpt":0.3009245137861549,"score_spread":0.25315410102903363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3092204845","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90785325,0.00042646512,0.08649584,0.00020275841,0.0005500957,0.0002674651,0.000015844296,0.000022626402,0.004165639],"genre_scores_gemma":[0.98064786,0.000035684534,0.018712793,0.00003441041,0.00025974438,0.000007778339,0.00000290096,0.00003848294,0.00026033455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99717987,0.00015433782,0.0015301169,0.00019246335,0.0006996079,0.0002436089],"domain_scores_gemma":[0.9965742,0.0011683952,0.0009632469,0.0004885088,0.00068733795,0.00011827759],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005444668,0.00022438231,0.0009995867,0.0001212869,0.00005823535,0.00002060753,0.00028247712,0.00014939989,0.00009837467],"category_scores_gemma":[0.0010052763,0.00017583765,0.00048497907,0.0007225559,0.00015010536,0.00023812197,0.00010377459,0.000488462,0.0000050103577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009201159,0.003320069,0.00017196775,0.0010566373,0.00020733313,0.000016217573,0.0010790746,0.0009146598,0.0041501354,0.9878057,0.0006763827,0.00050977716],"study_design_scores_gemma":[0.001135041,0.00017124393,0.000040228617,0.00043498017,0.00026200083,0.0000944359,0.0015072669,0.0010324775,0.006364068,0.98873556,0.000063219,0.00015947965],"about_ca_topic_score_codex":0.0000031566324,"about_ca_topic_score_gemma":0.000001661677,"teacher_disagreement_score":0.0727946,"about_ca_system_score_codex":0.000057688543,"about_ca_system_score_gemma":0.00033066844,"threshold_uncertainty_score":0.7170451},"labels":[],"label_agreement":null},{"id":"W3092563950","doi":"10.3842/sigma.2021.026","title":"Mixed vs Stable Anti-Yetter-Drinfeld Contramodules","year":2021,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hopf algebra; Mathematics; Pure mathematics; Algebra over a field; Differential (mechanical device); Physics","score_opus":0.04555324249064052,"score_gpt":0.358469776870583,"score_spread":0.3129165343799425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3092563950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5983415,0.001331729,0.39700544,0.0010561878,0.00025450028,0.00047754683,0.000057699443,0.00010568844,0.0013696885],"genre_scores_gemma":[0.76711214,0.00023275461,0.23168701,0.0002703738,0.0001815906,0.00016160191,0.000018188217,0.000023861225,0.00031246978],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980604,0.00034655392,0.00045927076,0.00063686614,0.0001754605,0.00032144025],"domain_scores_gemma":[0.9968345,0.0019310325,0.000122011574,0.0006838176,0.00023288079,0.00019571438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011227934,0.00025934292,0.00056307693,0.00010658744,0.0003436248,0.0001411484,0.00016481934,0.00022027829,0.000173062],"category_scores_gemma":[0.0010578686,0.0002210574,0.00012398198,0.0006709313,0.0002494515,0.000117689895,0.00018436479,0.00038783185,0.0000028894922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009017293,0.00013973241,0.0026758104,0.00017098003,0.000068969915,8.5419475e-7,0.00006030212,3.8448778e-7,0.000844771,0.92332774,0.00015349464,0.07254794],"study_design_scores_gemma":[0.0003588007,0.000037745394,0.004541246,0.000023436021,0.000089613,0.000026415326,0.00048403878,0.00010562861,0.010549725,0.9654671,0.018054817,0.00026146587],"about_ca_topic_score_codex":0.00005259491,"about_ca_topic_score_gemma":0.00001265993,"teacher_disagreement_score":0.16877063,"about_ca_system_score_codex":0.00002947432,"about_ca_system_score_gemma":0.000051935633,"threshold_uncertainty_score":0.9014459},"labels":[],"label_agreement":null},{"id":"W3092620287","doi":"10.70930/tac/5zmvs2c1","title":"Filtered cocategories","year":2020,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Quiver; Morphism; Mathematics; Pure mathematics; Tensor (intrinsic definition); Class (philosophy); Argument (complex analysis); Algebra over a field; Computer science; Artificial intelligence","score_opus":0.02456717092209142,"score_gpt":0.27516034318465094,"score_spread":0.2505931722625595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3092620287","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60681087,0.0019194187,0.37075946,0.002177338,0.00016488724,0.0012142606,0.000034978,0.00038392056,0.016534856],"genre_scores_gemma":[0.9990088,0.00002931197,0.0005086191,0.000105820814,0.00012772341,0.00006993886,0.0000048657002,0.000011038205,0.00013390828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946535,0.000041191775,0.00018513601,0.00013626374,0.00008413047,0.00008795403],"domain_scores_gemma":[0.9992765,0.00032442747,0.00009025029,0.00018719771,0.00005993295,0.00006169537],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013101526,0.00009367587,0.00018003743,0.000016785742,0.000096368625,0.000016781147,0.00015135089,0.00004354567,0.00007628799],"category_scores_gemma":[0.0001053745,0.00007877478,0.000032708893,0.00013227193,0.00022037154,0.00006468979,0.000059744467,0.000062880805,0.0000034652326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060089988,0.000012657682,0.000029389352,0.000074464035,0.000021204398,9.8809636e-8,0.0011640657,0.0000010677813,0.0002530002,0.9962462,0.00016836895,0.0019693698],"study_design_scores_gemma":[0.000156811,0.000037670663,0.000029605011,0.000002539489,0.0000320353,0.0000013855058,0.0008673038,0.000007545702,0.008021198,0.98741335,0.0033463656,0.00008420515],"about_ca_topic_score_codex":0.0000033516617,"about_ca_topic_score_gemma":2.914078e-7,"teacher_disagreement_score":0.39219788,"about_ca_system_score_codex":0.000002748382,"about_ca_system_score_gemma":0.000019982717,"threshold_uncertainty_score":0.32123423},"labels":[],"label_agreement":null},{"id":"W3093747925","doi":"10.5802/jep.158","title":"Affinization of monoidal categories","year":2021,"lang":"en","type":"preprint","venue":"Journal de l’École polytechnique — Mathématiques","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Braid; TRACE (psycholinguistics); Mathematics; Knot (papermaking); Pure mathematics; Symmetric monoidal category; Characterization (materials science); Enriched category; Algebra over a field; Combinatorics; Functor; Physics; Linguistics","score_opus":0.022382023947878582,"score_gpt":0.30025415820089274,"score_spread":0.27787213425301416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3093747925","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73253185,0.00094579917,0.26252037,0.0004942544,0.0011805677,0.0006429793,0.00002147531,0.00035089615,0.0013118131],"genre_scores_gemma":[0.8735373,0.0008334307,0.124481134,0.00015368652,0.0006057808,0.00009655263,0.00001861588,0.00011033904,0.00016316495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968449,0.00036547988,0.0013389185,0.00037436857,0.0006384506,0.00043788072],"domain_scores_gemma":[0.996295,0.00026006802,0.0017022892,0.0007729394,0.0007791148,0.00019059215],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008883034,0.0005194284,0.001076943,0.00031568913,0.00015754202,0.0003936817,0.00076944235,0.0010245084,0.00015664381],"category_scores_gemma":[0.00065911317,0.0004867616,0.00049611117,0.0002263474,0.00009488117,0.00023512689,0.00069789833,0.0017465574,8.6683787e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008177457,0.0003395621,0.0012574557,0.0019644438,0.00039628186,0.00011767245,0.004708482,0.0005226976,0.0033728147,0.98255944,0.003109092,0.0015702611],"study_design_scores_gemma":[0.00019530846,0.00009996029,0.0005943728,0.0008805913,0.00015314503,0.00021852854,0.00029881575,0.000993,0.05285454,0.9432167,0.00007167173,0.00042335573],"about_ca_topic_score_codex":0.00010464445,"about_ca_topic_score_gemma":0.000017875831,"teacher_disagreement_score":0.14100546,"about_ca_system_score_codex":0.00031718498,"about_ca_system_score_gemma":0.0009807523,"threshold_uncertainty_score":0.9997584},"labels":[],"label_agreement":null},{"id":"W3094264042","doi":"10.4153/s0008439522000017","title":"Quantum projective planes finite over their centers","year":2022,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Noncommutative geometry; Center (category theory); Projective plane; Automorphism; Combinatorics; Physics; Pure mathematics; Geometry; Crystallography","score_opus":0.03597678594992098,"score_gpt":0.27180475647097585,"score_spread":0.23582797052105486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3094264042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85123235,0.0008362454,0.0041379877,0.012418967,0.009185829,0.008174886,0.0032275273,0.0010135422,0.10977268],"genre_scores_gemma":[0.992127,0.000025989833,0.0013676767,0.0012778315,0.0005946383,0.0006809132,0.00019590491,0.0002541268,0.0034759117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99673015,0.00024871808,0.0007224764,0.00082795153,0.000566117,0.00090460415],"domain_scores_gemma":[0.9965015,0.0012441109,0.00032736885,0.0011495426,0.000090056055,0.0006874169],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047673756,0.00069823005,0.0009795218,0.00030527462,0.00032794903,0.00018433805,0.001035516,0.0005239231,0.05006932],"category_scores_gemma":[0.0010480678,0.0006125704,0.00042235033,0.00014863694,0.000154173,0.000021538384,0.0007498527,0.0015781382,0.00059533236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032700078,0.00008619177,0.00003550626,0.0007208408,0.00023060267,0.0001078919,0.0019431838,0.00006211863,9.2528416e-7,0.94440746,0.052271623,0.00010096125],"study_design_scores_gemma":[0.0003266271,0.00005887137,0.000036294943,0.0002491124,0.000088897235,0.000018315031,0.00064985873,0.0010910046,0.000008057471,0.94083464,0.055988334,0.0006499915],"about_ca_topic_score_codex":0.0036600109,"about_ca_topic_score_gemma":0.0007959287,"teacher_disagreement_score":0.14089468,"about_ca_system_score_codex":0.0007963785,"about_ca_system_score_gemma":0.00082935597,"threshold_uncertainty_score":0.99963254},"labels":[],"label_agreement":null},{"id":"W3097350163","doi":"10.1007/jhep02(2021)140","title":"Higher rank FZZ-dualities","year":2021,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Coset; Conformal field theory; Duality (order theory); Conformal map; Field (mathematics); Equivalence (formal languages); Liouville field theory; Vertex (graph theory); Minimal models","score_opus":0.027765734202896224,"score_gpt":0.26687658436668527,"score_spread":0.23911085016378905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3097350163","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.889556,0.0022880386,0.08027409,0.0019341481,0.013939573,0.000057091896,0.00001204097,0.00008282832,0.01185617],"genre_scores_gemma":[0.9919325,0.000077997545,0.0023239315,0.00027901024,0.0023883828,0.0000010687844,0.0000017632335,0.000028802322,0.0029665532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879575,0.00008077257,0.00041199278,0.000103824605,0.00043070773,0.00017698265],"domain_scores_gemma":[0.99872786,0.00021287924,0.00036391633,0.00023428442,0.00038102362,0.0000800641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009459478,0.00014609798,0.00039568072,0.000025832578,0.000063942876,0.00004856413,0.00018315489,0.00007807149,0.0001855505],"category_scores_gemma":[0.000045632314,0.00011642536,0.00022998711,0.0001416407,0.000034751953,0.00016670529,0.000059737315,0.00017664405,0.000001764274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002363748,0.00007893187,0.000007798581,0.00001735994,0.00015150997,0.00005934687,0.000120536,0.00005444887,0.00010845263,0.99289954,0.005452811,0.0010256477],"study_design_scores_gemma":[0.0007113275,0.000057148245,0.000050419956,0.00003962701,0.00008278545,0.000049709917,0.0000647437,0.0000042950387,0.013062723,0.97705305,0.008692484,0.00013170802],"about_ca_topic_score_codex":0.000016844502,"about_ca_topic_score_gemma":0.0000018127643,"teacher_disagreement_score":0.102376476,"about_ca_system_score_codex":0.000045728153,"about_ca_system_score_gemma":0.00013701676,"threshold_uncertainty_score":0.47476885},"labels":[],"label_agreement":null},{"id":"W3098382265","doi":"","title":"The su(n) Hubbard model","year":2013,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Hubbard model; Integrable system; Hamiltonian (control theory); Mathematical physics; Generalization; Physics; Symmetry (geometry); Dimension (graph theory); t-J model; Mathematics; Quantum mechanics; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.0317589949761923,"score_gpt":0.27686236108686546,"score_spread":0.24510336611067315,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098382265","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8884611,0.000065271,0.010144884,0.0021792427,0.0006060162,0.0004077771,4.139783e-7,0.00018732509,0.09794793],"genre_scores_gemma":[0.98502266,0.0000062688946,0.0024482806,0.00019341207,0.00008114356,0.00003644477,1.6935888e-7,0.000013064381,0.012198564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943304,0.000013043045,0.0001307648,0.00009422355,0.00015101107,0.00017789856],"domain_scores_gemma":[0.9993784,0.00017691763,0.00003067977,0.00030914898,0.000058378537,0.00004648337],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000074821684,0.000078396755,0.00008200241,0.000007759142,0.0001604355,0.00010188184,0.00021362654,0.00004451665,0.00028663976],"category_scores_gemma":[0.00007235356,0.0000402013,0.000052117502,0.000037215847,0.000031217987,0.00006972112,0.00006112732,0.00007380366,0.00011507951],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000011863983,0.0000056046356,0.0000075545104,0.0000019317042,0.000008355006,6.819995e-8,0.000057343193,0.00003628559,0.000018245692,0.9712218,0.027649822,0.0009917897],"study_design_scores_gemma":[0.000114629634,0.000008469931,0.000019506799,0.0000014239668,0.0000048876964,8.987468e-7,0.00006446305,0.010289057,0.00015157256,0.98852944,0.0007504769,0.00006515563],"about_ca_topic_score_codex":0.00003872512,"about_ca_topic_score_gemma":0.000005224681,"teacher_disagreement_score":0.09656152,"about_ca_system_score_codex":0.000012557029,"about_ca_system_score_gemma":0.000018357425,"threshold_uncertainty_score":0.31385043},"labels":[],"label_agreement":null},{"id":"W3098727517","doi":"","title":"Fermionic characters for graded parafermions","year":2003,"lang":"en","type":"article","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Université de Moncton","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Coset; Conformal map; Character (mathematics); Conformal field theory; Type (biology); Subject (documents); Mathematics; Field (mathematics); Pure mathematics; Physics; Mathematical physics; Theoretical physics; Combinatorics; Mathematical analysis; Geometry; Computer science","score_opus":0.0635327551458925,"score_gpt":0.3128143495712246,"score_spread":0.2492815944253321,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098727517","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9973408,0.000024858804,0.000008732003,0.0005688289,0.0004341217,0.0011269622,5.5113753e-7,0.0002619661,0.0002331774],"genre_scores_gemma":[0.99696577,0.000027568047,0.000016858514,0.00014631062,0.00014562669,0.0000053690624,0.000066678425,0.0003885383,0.0022372752],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796253,0.00034366542,0.0003595245,0.00042189824,0.0004110058,0.00050135097],"domain_scores_gemma":[0.99856305,0.00017183607,0.00013491142,0.0004921412,0.00044922577,0.00018881555],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00089834514,0.00020140047,0.00022240344,0.00013268975,0.0010464744,0.00036636606,0.00057401485,0.00008219441,0.0013174713],"category_scores_gemma":[0.0011638167,0.00019380111,0.00012620448,0.0003865972,0.00008225646,0.00028577345,0.00019674003,0.00019499754,0.00028514926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031961037,0.0000790382,0.000015079036,0.00008083425,0.00005231301,0.0000016927146,0.0003903051,0.000004704024,0.000015222824,0.99882835,0.00048090756,0.000019569217],"study_design_scores_gemma":[0.0012189752,0.00016271138,0.00024187486,0.000027275191,0.00003424638,0.000013088164,0.00019096688,3.7062983e-7,0.0011907438,0.9935334,0.003159865,0.00022648324],"about_ca_topic_score_codex":0.000003747289,"about_ca_topic_score_gemma":5.864319e-7,"teacher_disagreement_score":0.0052949735,"about_ca_system_score_codex":0.00021118464,"about_ca_system_score_gemma":0.000028265802,"threshold_uncertainty_score":0.99959546},"labels":[{"model":"gemma","categories":[],"domain":null,"study_design":"theoretical_or_conceptual","genre":"empirical","about_ca_system":false,"about_ca_topic":false,"confidence":"high"},{"model":"gpt","categories":[],"domain":null,"study_design":"theoretical_or_conceptual","genre":"empirical","about_ca_system":false,"about_ca_topic":false,"confidence":"low"}],"label_agreement":"agree"},{"id":"W3098801726","doi":"","title":"Twisted Yangians for symmetric pairs of types B, C, D","year":2016,"lang":"en","type":"article","venue":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Yangian; Mathematics; Symplectic geometry; Pure mathematics; Quotient; Class (philosophy); Symmetry (geometry); Type (biology); Lie algebra; Reflection (computer programming); Algebra over a field; Geometry","score_opus":0.07884464790748483,"score_gpt":0.28856261624420426,"score_spread":0.20971796833671943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098801726","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9715345,0.0002177787,0.018491298,0.00396307,0.00015086152,0.0009156952,0.0005700046,0.00006342558,0.004093365],"genre_scores_gemma":[0.9866241,0.0005297722,0.00596926,0.000004768519,0.000033686672,1.4208011e-8,0.000015253828,0.000017647271,0.006805487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.9978281,0.00032516208,0.00022070979,0.00038845956,0.000780219,0.0004573131],"domain_scores_gemma":[0.9956153,0.0017840118,0.0004834313,0.0007455605,0.0011980431,0.00017366887],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092284416,0.00021120436,0.00069299515,0.00073598657,0.0005044147,0.0000047419203,0.0017656579,0.00033964307,0.00056420366],"category_scores_gemma":[0.00027015607,0.00020578224,0.0005077309,0.0011291372,0.001675318,0.00024230983,0.0007165863,0.0003534576,0.0000050350386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.013419313,0.004173666,0.008425757,0.003915511,0.0042024017,0.00015643114,0.057029366,0.00039787535,0.014327861,0.7983947,0.042887177,0.052669954],"study_design_scores_gemma":[0.044150323,0.009240887,0.028706905,0.0044649374,0.0037205652,0.000035879137,0.5189897,0.005478992,0.0049966453,0.274672,0.10254427,0.0029989057],"about_ca_topic_score_codex":0.0026692017,"about_ca_topic_score_gemma":0.0015198231,"teacher_disagreement_score":0.52372265,"about_ca_system_score_codex":0.00016362243,"about_ca_system_score_gemma":0.0003201131,"threshold_uncertainty_score":0.8391557},"labels":[],"label_agreement":null},{"id":"W3098855579","doi":"10.1090/s0002-9947-05-03753-0","title":"Quivers with relations arising from clusters (𝐴_{𝑛} case)","year":2005,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":241,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Cluster algebra; Realization (probability); Indecomposable module; Connection (principal bundle); Algebraic structure; Abelian group; Algebraic number","score_opus":0.016629500657699584,"score_gpt":0.2647161626512203,"score_spread":0.2480866619935207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098855579","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6596462,0.000009093746,0.33822733,0.0011431185,0.000050902538,0.00020315975,0.000016665532,0.000063848485,0.00063966913],"genre_scores_gemma":[0.8856252,0.000003974327,0.1139395,0.00012448216,0.000049510327,0.000012032326,5.7320983e-7,0.000026504014,0.00021826255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998866,0.000060470717,0.00033823343,0.00019726878,0.00032352627,0.00021445769],"domain_scores_gemma":[0.99838597,0.0006792227,0.00028289712,0.0005142425,0.000058358408,0.00007929296],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000116820374,0.00017555803,0.00035953734,0.00001700062,0.00032578997,0.000022195742,0.00024729915,0.0000583348,0.0003281325],"category_scores_gemma":[0.000031703043,0.00011306671,0.00038498477,0.0003362176,0.0005596851,0.00011904826,0.000018467656,0.0002865813,0.000008838821],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00046938212,0.003176587,0.00078954664,0.0005401309,0.006106732,0.000034866694,0.08892546,0.027867684,0.0017748404,0.82751685,0.008105091,0.034692828],"study_design_scores_gemma":[0.0010288701,0.0001471729,0.00020230123,0.00014127354,0.0009387678,0.00021146805,0.01122678,0.01685142,0.0011186227,0.9674706,0.00023463338,0.0004281205],"about_ca_topic_score_codex":0.0002020138,"about_ca_topic_score_gemma":0.000040004867,"teacher_disagreement_score":0.22597896,"about_ca_system_score_codex":0.00011299923,"about_ca_system_score_gemma":0.000049543578,"threshold_uncertainty_score":0.46107262},"labels":[],"label_agreement":null},{"id":"W3099011692","doi":"","title":"A McKay correspondence for reflection groups","year":2020,"lang":"en","type":"article","venue":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; The Scarborough Hospital","funders":"","keywords":"Mathematics; Reflection (computer programming); Computer science","score_opus":0.14361998467159248,"score_gpt":0.31959797572148446,"score_spread":0.17597799104989198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099011692","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93977433,0.00014666708,0.04598686,0.009653278,0.00018411747,0.0011077073,0.00027350694,0.0001035086,0.0027700164],"genre_scores_gemma":[0.98798996,0.00034867896,0.007820835,0.000026647494,0.00007565105,1.8582138e-8,0.000027944916,0.00001855375,0.0036917296],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.9976707,0.0003894818,0.00018994418,0.00047926322,0.0008210873,0.00044948887],"domain_scores_gemma":[0.9968493,0.0010279712,0.00039191506,0.00056605996,0.00091192656,0.00025282463],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007917167,0.00021710765,0.0006029675,0.00033981004,0.0009342149,0.000010668926,0.0018039594,0.00033304142,0.0005775947],"category_scores_gemma":[0.00025054012,0.00026061098,0.0004351994,0.0010478202,0.0012229461,0.00032208074,0.00081600633,0.000707971,0.000008447171],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.04124193,0.0032847251,0.0042109294,0.004457133,0.0028644816,0.0003593352,0.25449294,0.002685262,0.020509256,0.52098,0.124849,0.020064987],"study_design_scores_gemma":[0.020549744,0.007312625,0.005832954,0.0012201723,0.0016310806,0.000030666215,0.69176143,0.030273572,0.0015197893,0.12806961,0.10991051,0.0018878701],"about_ca_topic_score_codex":0.0018826929,"about_ca_topic_score_gemma":0.0013952198,"teacher_disagreement_score":0.43726847,"about_ca_system_score_codex":0.00015672758,"about_ca_system_score_gemma":0.00033215107,"threshold_uncertainty_score":0.9999846},"labels":[],"label_agreement":null},{"id":"W3099273612","doi":"","title":"S-duality for the Large $N=4$ Superconformal Algebra","year":2020,"lang":"en","type":"article","venue":"Digital Commons - DU (University of Denver)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Vertex operator algebra; Superconformal algebra; Central charge; Physics; Superalgebra; Duality (order theory); Cellular algebra; Vertex (graph theory); Hamiltonian (control theory); Current algebra; Algebra representation; Supersymmetry algebra; N = 2 superconformal algebra; Affine transformation; Mathematics; Pure mathematics; Algebra over a field; Mathematical physics; Supersymmetry; Supergravity; Combinatorics; Jordan algebra; Conformal map; Geometry","score_opus":0.041374056503686404,"score_gpt":0.23550891425999584,"score_spread":0.19413485775630945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099273612","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96400625,0.000048109796,0.026308324,0.003625948,0.00018199024,0.0004302275,0.00033195148,0.00010045312,0.0049667694],"genre_scores_gemma":[0.9993642,0.000004554351,0.00023294074,0.00017536344,0.00007059782,5.284715e-7,0.00002177954,0.000012675007,0.00011736098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992444,0.000019936308,0.00014053089,0.00016351465,0.00021025108,0.00022140474],"domain_scores_gemma":[0.99895,0.0004647735,0.00009627835,0.0002800806,0.000093601135,0.000115289164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010403799,0.000132035,0.00025035793,0.000022222039,0.00031878563,0.000053943848,0.00058335136,0.000079726255,0.00012661789],"category_scores_gemma":[0.00016215448,0.000118579694,0.00024759833,0.00013410562,0.00012897213,0.00047862707,0.00032822182,0.00012679392,0.0000139286385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001450487,0.000070966315,0.0021767365,0.00006354791,0.00013105563,0.0000048502197,0.0032195381,0.0000026014636,0.0000045031093,0.9843439,0.008999764,0.0008374875],"study_design_scores_gemma":[0.0046185968,0.00050039653,0.0060369116,0.0000306961,0.0003318904,0.000014377774,0.018303402,0.005661973,0.0001434354,0.86129284,0.10241679,0.00064866286],"about_ca_topic_score_codex":0.000033134926,"about_ca_topic_score_gemma":0.00004461076,"teacher_disagreement_score":0.12305104,"about_ca_system_score_codex":0.000020946509,"about_ca_system_score_gemma":0.000038560916,"threshold_uncertainty_score":0.48355395},"labels":[],"label_agreement":null},{"id":"W3099300223","doi":"","title":"ORBIFOLDS OF SYMPLECTIC FERMION ALGEBRAS","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Symplectic geometry; Mathematics; Automorphism; Rank (graph theory); Combinatorics; Automorphism group; Image (mathematics); Fermion; Pure mathematics; Physics; Particle physics","score_opus":0.03855309259485336,"score_gpt":0.3002045139468183,"score_spread":0.26165142135196495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099300223","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98694396,0.000015020883,0.0057502342,0.0003242327,0.00037252053,0.00010478967,9.2829833e-7,0.00007475753,0.006413563],"genre_scores_gemma":[0.9972912,0.000006372946,0.0006442117,0.000034027107,0.000074154705,0.0000050513363,1.4507042e-7,0.000014886473,0.0019299338],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931127,0.000024911602,0.00021295651,0.00013009254,0.00017413027,0.00014662037],"domain_scores_gemma":[0.9992747,0.0002676163,0.000078290264,0.00027332312,0.00006178339,0.000044332446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009254098,0.00009119474,0.0001767207,0.00003804509,0.000026698966,0.000005329822,0.00013499008,0.00006751672,0.0008648028],"category_scores_gemma":[0.0001864498,0.000042272317,0.0000701408,0.00008709598,0.00003334169,0.000061655424,0.00004662945,0.000027609201,0.000019368408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010169236,0.000020923178,0.00035009813,0.000016553482,0.0000192884,5.296633e-7,0.000041953506,4.022075e-8,0.002057296,0.9943526,0.0008531657,0.0022773787],"study_design_scores_gemma":[0.00039656574,0.000063580184,0.0003909845,0.000027884316,0.000016815267,0.0000042538272,0.000012999598,0.0000039431484,0.018653618,0.98021394,0.00013134099,0.000084050385],"about_ca_topic_score_codex":0.000010539854,"about_ca_topic_score_gemma":0.0000060966877,"teacher_disagreement_score":0.016596321,"about_ca_system_score_codex":0.000024948276,"about_ca_system_score_gemma":0.000027007458,"threshold_uncertainty_score":0.9468984},"labels":[],"label_agreement":null},{"id":"W3099491293","doi":"","title":"2 JACK SUPERPOLYNOMIALS WITH NEGATIVE FRACTIONAL PARAMETER: CLUSTERING PROPERTIES AND SUPER-VIRASORO IDEALS","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Conjecture; Mathematics; Ideal (ethics); Combinatorics; Eigenfunction; Virasoro algebra; Lambda; Superspace; Pure mathematics; Mathematical physics; Algebra over a field; Physics; Eigenvalues and eigenvectors; Quantum mechanics; Cellular algebra; Supersymmetry","score_opus":0.0578881600258442,"score_gpt":0.26203221595287735,"score_spread":0.20414405592703314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099491293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9908313,0.00004904861,0.0066660624,0.00065774925,0.00018233877,0.00030265053,0.0000047496114,0.00008967382,0.0012164409],"genre_scores_gemma":[0.99438924,0.00002387501,0.0038992467,0.00014121254,0.00015409707,0.000043668155,3.1585756e-7,0.000030114585,0.0013182298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989319,0.000055594737,0.00024682985,0.00028513232,0.00023475531,0.00024582946],"domain_scores_gemma":[0.998838,0.00069892826,0.00006868188,0.00022475791,0.00007876222,0.000090844296],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012312531,0.00020236347,0.00028953436,0.000041511412,0.00012224003,0.00006839873,0.00010819861,0.0000875823,0.0003660611],"category_scores_gemma":[0.00029081147,0.000097967764,0.000041505908,0.000049437338,0.00014635446,0.00032480524,0.00008888373,0.000077033714,0.000011027283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014457742,0.00018099218,0.0092052175,0.00024376962,0.0006695073,0.000017486698,0.0038845786,0.000016185479,0.024392048,0.9419171,0.0032964828,0.014730823],"study_design_scores_gemma":[0.0023496205,0.0004024297,0.0014182255,0.00022390019,0.000063914216,0.000076779244,0.0007424168,0.00022771108,0.026938464,0.96648663,0.00053042127,0.00053949433],"about_ca_topic_score_codex":0.000101140016,"about_ca_topic_score_gemma":0.00006012067,"teacher_disagreement_score":0.024569487,"about_ca_system_score_codex":0.000043854176,"about_ca_system_score_gemma":0.000043956206,"threshold_uncertainty_score":0.40081123},"labels":[],"label_agreement":null},{"id":"W3099541776","doi":"","title":"Loop equations and topological recursion for the arbitrary-β two-matrix model","year":2012,"lang":"en","type":"article","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Recursion (computer science); Hermitian matrix; Bethe ansatz; Algebraic curve; Matrix (chemical analysis); Degenerate energy levels; Loop (graph theory); Ansatz; Differential equation; Order (exchange); Operator (biology); Topology (electrical circuits); Pure mathematics; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics; Combinatorics; Algorithm; Integrable system","score_opus":0.039402912276912914,"score_gpt":0.2984397231190758,"score_spread":0.2590368108421629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099541776","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24387786,0.0012333479,0.73923993,0.00857251,0.00023787995,0.00055072666,0.000015576568,0.00011379288,0.0061583696],"genre_scores_gemma":[0.942299,0.00008449562,0.054178387,0.00009242071,0.000045322624,0.000067313726,0.000015221406,0.00001884392,0.003199007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983669,0.0007049731,0.0002447933,0.00021376238,0.00019416699,0.00027540157],"domain_scores_gemma":[0.99413353,0.004517158,0.00014852513,0.0006676397,0.00041875898,0.000114368166],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00255051,0.0001390762,0.00016071401,0.000036654954,0.0005289559,0.00010027733,0.0003595957,0.000096690885,0.0000532288],"category_scores_gemma":[0.002028071,0.000100665886,0.000093047405,0.000133514,0.00014636705,0.00015251845,0.00019170153,0.00017011221,0.0000039061056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000079595675,0.0001082663,0.00012063794,0.000015425067,0.000016248998,5.1403706e-8,0.0021762592,0.00001840744,0.00020128755,0.99325126,0.00035324664,0.0037309334],"study_design_scores_gemma":[0.0005155114,5.4766383e-7,0.0001171302,0.00006499059,0.000049853978,0.000004357193,0.00015199457,0.09839922,0.0031583246,0.89599997,0.0013865745,0.00015153503],"about_ca_topic_score_codex":0.00007008932,"about_ca_topic_score_gemma":0.00005909874,"teacher_disagreement_score":0.6984211,"about_ca_system_score_codex":0.000032044365,"about_ca_system_score_gemma":0.000044374945,"threshold_uncertainty_score":0.41050357},"labels":[],"label_agreement":null},{"id":"W3100266456","doi":"10.4171/owr/2012/49","title":"Mini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties","year":2013,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Hyperplane; Mathematics; Pure mathematics; Cohomology; Algebra over a field; Combinatorics","score_opus":0.027524453612887124,"score_gpt":0.27222469195733884,"score_spread":0.2447002383444517,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100266456","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99608916,0.00037541016,0.00012842841,0.00017797535,0.00051304925,0.0004015013,0.000002764681,0.00004387874,0.0022678259],"genre_scores_gemma":[0.99773216,0.00009654343,0.0011557135,0.000027618615,0.000074768184,0.000040055125,0.000017136006,0.000021300422,0.00083468977],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986289,0.000045521912,0.00052894955,0.0003340686,0.00023835577,0.00022421843],"domain_scores_gemma":[0.99882704,0.00020731126,0.0003925225,0.000378857,0.00008358163,0.000110700305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020464594,0.00018926142,0.0003772826,0.000061212915,0.00011990839,0.000056496425,0.00007225717,0.00013575815,0.00018058546],"category_scores_gemma":[0.00009479266,0.0001678931,0.000039596955,0.00007861495,0.00017441392,0.00014705594,0.0000997758,0.00012815834,0.0000016669904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000846336,0.0005131292,0.40819907,0.00058722903,0.0005601726,0.000119195174,0.006144911,0.0000036417675,0.0043052468,0.5574688,0.016742017,0.0052719708],"study_design_scores_gemma":[0.000510834,0.00013023018,0.1491176,0.000035525776,0.00012692419,0.00080541073,0.0013702342,0.000039206203,0.00049733487,0.8457315,0.0013186499,0.00031653896],"about_ca_topic_score_codex":0.0006043469,"about_ca_topic_score_gemma":0.000023231432,"teacher_disagreement_score":0.28826272,"about_ca_system_score_codex":0.00003766399,"about_ca_system_score_gemma":0.000024858187,"threshold_uncertainty_score":0.6846482},"labels":[],"label_agreement":null},{"id":"W3100275146","doi":"","title":"The Cappelli-Itzykson-Zuber A-D-E Classification","year":2009,"lang":"en","type":"review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics","score_opus":0.1690699655045843,"score_gpt":0.4079800011634086,"score_spread":0.2389100356588243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100275146","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[6.4091347e-7,0.9714795,0.00024432238,0.00008271074,0.0008915306,0.00070777093,0.0000022553093,0.000114366565,0.026476918],"genre_scores_gemma":[0.000008537038,0.98801637,0.0003143477,0.000028884804,0.0005333944,0.00007002888,0.000012947298,0.000055115765,0.010960354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9981757,0.00014530862,0.0006755075,0.00034897632,0.00033577956,0.00031875278],"domain_scores_gemma":[0.99764097,0.0008396716,0.0004160549,0.0009629981,0.00006495489,0.000075366275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029674536,0.0004052149,0.000981516,0.000046212823,0.00025785575,0.00014113217,0.0006623337,0.0004046417,0.00011249703],"category_scores_gemma":[0.000146193,0.00020275053,0.0005250145,0.00020826649,0.00005353347,0.00004026771,0.000059198617,0.00040322027,0.00017045281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[4.4156548e-7,0.000009350039,9.999812e-9,0.00046276097,0.00003167436,3.6884947e-7,0.00000618551,6.248286e-9,2.993994e-9,0.5275617,0.008670536,0.46325696],"study_design_scores_gemma":[0.000029694964,0.000010715428,1.14840184e-7,0.000528113,0.00020614247,0.000007165034,0.000006960085,0.0000034551242,7.301486e-8,0.45038697,0.548677,0.00014356378],"about_ca_topic_score_codex":0.0000059587082,"about_ca_topic_score_gemma":0.000006451166,"teacher_disagreement_score":0.5400065,"about_ca_system_score_codex":0.0001114898,"about_ca_system_score_gemma":0.00017044993,"threshold_uncertainty_score":0.8267926},"labels":[],"label_agreement":null},{"id":"W3100365733","doi":"","title":"COHOMOLOGY OF FINITE DIMENSIONAL POINTED HOPF ALGEBRAS","year":2012,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Saint Mary's University","funders":"","keywords":"Hopf algebra; Mathematics; Cohomology; Quasitriangular Hopf algebra; Pure mathematics; Quantum group; Cohomology ring; Representation theory of Hopf algebras; Group cohomology; Ring (chemistry); Algebra over a field; Abelian group; Equivariant cohomology; Division algebra; Filtered algebra","score_opus":0.03549195702665119,"score_gpt":0.2970243229692396,"score_spread":0.2615323659425884,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100365733","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98958206,0.00009469883,0.0013706506,0.00012001676,0.0008908515,0.0001077645,0.0000025374181,0.000053611653,0.0077777943],"genre_scores_gemma":[0.99510807,0.0000013850222,0.0037510316,0.00018004686,0.0001680009,0.0000043948053,0.0000031075742,0.000014895894,0.000769081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991896,0.00004413311,0.00024774382,0.0001003699,0.00017590754,0.00024223678],"domain_scores_gemma":[0.9990185,0.0005026761,0.00009799331,0.00022879323,0.00006936789,0.00008266865],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001575032,0.000108716114,0.00023200778,0.00004441284,0.000038214755,0.0000031547117,0.00011149728,0.00009896345,0.0016058353],"category_scores_gemma":[0.00024197515,0.0000817355,0.00007986123,0.00008293007,0.00006027293,0.00006840724,0.00008604387,0.000087416476,0.000030723942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002074605,0.000077945326,0.0014280331,0.000013500573,0.00003940116,5.9604184e-7,0.00016897975,0.0000018988585,0.00024012083,0.99497396,0.002938149,0.000096654396],"study_design_scores_gemma":[0.0004163375,0.000054335087,0.001210394,0.0000085982965,0.000028451237,0.0000126642235,0.000036243775,0.00009283717,0.0038667445,0.9937994,0.0003643161,0.00010970241],"about_ca_topic_score_codex":0.000027468086,"about_ca_topic_score_gemma":0.0000020828597,"teacher_disagreement_score":0.007008713,"about_ca_system_score_codex":0.000013285926,"about_ca_system_score_gemma":0.000021836484,"threshold_uncertainty_score":0.99930686},"labels":[],"label_agreement":null},{"id":"W3100443231","doi":"","title":"PROJECTIVE TORIC VARIETIES AS FINE MODULI SPACES OF QUIVER REPRESENTATIONS","year":2006,"lang":"en","type":"article","venue":"Project Muse (Johns Hopkins University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Moduli space; Mathematics; Toric variety; Embedding; Variety (cybernetics); Pure mathematics; Quotient; Combinatorics; Computer science","score_opus":0.022056136577358998,"score_gpt":0.2553425428535392,"score_spread":0.2332864062761802,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100443231","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57957643,0.0000034542034,0.0016273764,0.00009387972,0.00038364876,0.0007179039,0.000024164197,0.0001707062,0.41740242],"genre_scores_gemma":[0.9961921,0.0010671701,0.0020223274,0.0000090860485,0.00017260967,0.00000538002,0.000012586163,0.000030493733,0.000488227],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986007,0.00011809775,0.00024327636,0.00039216146,0.00035871248,0.00028702422],"domain_scores_gemma":[0.99871504,0.00024092027,0.00026345058,0.00044786147,0.00028828444,0.00004443284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009360629,0.00024056819,0.00034716382,0.0031010606,0.00017561365,0.000036498357,0.0003404654,0.0001456439,0.00007391429],"category_scores_gemma":[0.00013953555,0.00023828067,0.00017267105,0.0039910623,0.00013608398,0.00034684362,0.0001909059,0.00017586809,0.000006149699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017322534,0.00027876755,0.0006189202,0.00008536149,0.00013865964,0.000038791433,0.0050378796,0.00007294408,0.000027858874,0.99184936,0.00096780853,0.00071044965],"study_design_scores_gemma":[0.0056155156,0.0010682648,0.0013969219,0.00015606717,0.00088411145,0.000043852557,0.008260325,0.0005532959,0.009827489,0.32537612,0.64529246,0.0015255598],"about_ca_topic_score_codex":0.09803645,"about_ca_topic_score_gemma":0.0044230307,"teacher_disagreement_score":0.6664732,"about_ca_system_score_codex":0.00017139758,"about_ca_system_score_gemma":0.00032513004,"threshold_uncertainty_score":0.9716804},"labels":[],"label_agreement":null},{"id":"W3100597766","doi":"","title":"CENTRALIZERS IN DOMAINS OF FINITE GELFAND-KIRILLOV DIMENSION","year":2012,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Centralizer and normalizer; Dimension (graph theory); Pure mathematics; Algebraic number; Domain (mathematical analysis); Noetherian; Center (category theory); Discrete mathematics; Algebra over a field; Mathematical analysis","score_opus":0.03133909492490586,"score_gpt":0.2972794555275081,"score_spread":0.2659403606026023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100597766","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9932315,0.00007696292,0.0005366359,0.000050014092,0.00049633626,0.00012222631,0.0000011022519,0.000024378834,0.0054608956],"genre_scores_gemma":[0.99764013,0.00001207254,0.0020001444,0.000051459985,0.000059343944,0.0000027876247,0.0000011025651,0.000011600746,0.00022133173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99922955,0.000033801538,0.00023294987,0.00008444278,0.00016242721,0.00025684672],"domain_scores_gemma":[0.99946886,0.00018507626,0.00006762781,0.000190593,0.000019952986,0.000067867215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015783533,0.000092760136,0.00019101964,0.000048851773,0.000019117797,0.000003947025,0.00008116366,0.000073308,0.0002761693],"category_scores_gemma":[0.0000905366,0.00007002617,0.00005740799,0.00010501389,0.000026469152,0.000085529624,0.000048358044,0.00006516903,0.000006554734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002046323,0.00007684026,0.009232959,0.000023278297,0.000011156681,5.7746337e-7,0.0009945271,0.000007656357,0.0003346065,0.9885802,0.00057575834,0.00014195371],"study_design_scores_gemma":[0.0009653931,0.000037122205,0.0044913837,0.00003081218,0.000019573661,0.0000022055856,0.00026452838,0.00009524448,0.006270805,0.9868161,0.00084939523,0.00015743134],"about_ca_topic_score_codex":0.000048742328,"about_ca_topic_score_gemma":0.000010903765,"teacher_disagreement_score":0.0059361984,"about_ca_system_score_codex":0.000027083248,"about_ca_system_score_gemma":0.000010688791,"threshold_uncertainty_score":0.30238605},"labels":[],"label_agreement":null},{"id":"W3100813850","doi":"10.1007/jhep11%282017%29039","title":"Positive geometries and canonical forms","year":2023,"lang":"en","type":"article","venue":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":152,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Goddard Space Flight Center; Princeton University; U.S. Department of Energy; National Science Foundation","keywords":"Canonical form; Grassmannian; Mathematics; Connection (principal bundle); Pure mathematics; Triangulation; Polytope; Gravitational singularity; Simplex; Differential form; Boundary (topology); Tree (set theory); Combinatorics; Geometry; Mathematical analysis","score_opus":0.01663875193497328,"score_gpt":0.2548114733508728,"score_spread":0.2381727214158995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100813850","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840661,0.00007001585,0.0009747425,0.00019280131,0.0002568657,0.00016533001,0.000090160655,0.00008770463,0.014096279],"genre_scores_gemma":[0.99864775,0.000048356676,0.0007772915,0.000033457953,0.000013165221,0.000015963138,0.0003035293,0.000006214011,0.00015428617],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868655,0.000012243872,0.0005074505,0.00016038025,0.00042523656,0.00020813309],"domain_scores_gemma":[0.9988993,0.0003575562,0.0002381682,0.0002186654,0.00018512316,0.00010118816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038846108,0.00013304428,0.0002719001,0.00027158676,0.00017619533,0.00007230102,0.00015134153,0.00011055567,0.000024979885],"category_scores_gemma":[0.00030637634,0.0001052118,0.00006251229,0.00064177456,0.00049381395,0.00049267244,0.00022140692,0.00007299939,0.0000035655303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047318765,0.000039311057,0.00029109858,0.000064289015,0.000029259176,6.183162e-7,0.000010152109,0.0000073212386,0.00013176004,0.9966314,0.0017010135,0.0010464847],"study_design_scores_gemma":[0.0016926859,0.0006706672,0.09954428,0.00017823167,0.00014196083,0.00004379181,0.00007514754,0.000072518356,0.011158456,0.86990213,0.01599104,0.00052907376],"about_ca_topic_score_codex":0.000019503002,"about_ca_topic_score_gemma":0.00001040214,"teacher_disagreement_score":0.12672922,"about_ca_system_score_codex":0.000020485617,"about_ca_system_score_gemma":0.000068259724,"threshold_uncertainty_score":0.42904127},"labels":[],"label_agreement":null},{"id":"W3101179411","doi":"","title":"Schubert Calculus and Threshold Polynomials of Affine Fusion","year":2000,"lang":"en","type":"article","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Tensor product; Affine transformation; Mathematics; Context (archaeology); Product (mathematics); Fusion; Conformal map; Schubert calculus; Integer (computer science); Simple (philosophy); Pure mathematics; Tensor (intrinsic definition); Mathematical analysis; Geometry; Computer science","score_opus":0.0322564361688605,"score_gpt":0.286351550827487,"score_spread":0.2540951146586265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101179411","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99605346,0.00010224644,0.0000025822146,0.0005409547,0.000090154346,0.00043283956,0.0000016371627,0.000113293245,0.002662858],"genre_scores_gemma":[0.9965332,0.00022944744,0.000028061393,0.0000619838,0.00012989217,4.4957144e-7,0.000024007248,0.00019672594,0.002796231],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985213,0.00015618278,0.00033554857,0.00030075735,0.00041267424,0.00027348453],"domain_scores_gemma":[0.99909,0.000060304195,0.0000893444,0.00039464672,0.00023812713,0.00012757465],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00058387656,0.00014531532,0.00021525561,0.00009739,0.00040493556,0.00017263833,0.00040935093,0.00006793073,0.009812899],"category_scores_gemma":[0.00019867498,0.00013167431,0.000051221694,0.0002957192,0.00011491728,0.00022048078,0.00037798233,0.00013732213,0.00014668776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011639874,0.00009051397,0.0000600798,0.00014539369,0.00004543663,0.0000033412389,0.00069881795,0.0000124715625,0.0002567853,0.99463207,0.0018745876,0.0020641293],"study_design_scores_gemma":[0.002496521,0.00049671845,0.0016744882,0.00012903067,0.00006060616,0.00002558759,0.00023169245,0.0000224602,0.0050439457,0.96846294,0.020967042,0.0003889607],"about_ca_topic_score_codex":0.000034310102,"about_ca_topic_score_gemma":0.0000012977384,"teacher_disagreement_score":0.026169097,"about_ca_system_score_codex":0.00007182317,"about_ca_system_score_gemma":0.00001125332,"threshold_uncertainty_score":0.99109226},"labels":[],"label_agreement":null},{"id":"W3101421872","doi":"","title":"2 EQUIVARIANT MAP SUPERALGEBRAS","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Equivariant map; Lie superalgebra; Pure mathematics; Parameterized complexity; Tensor (intrinsic definition); Tensor product; Type (biology); Superalgebra; Abelian group; Algebra over a field; Combinatorics; Affine Lie algebra; Current algebra","score_opus":0.0413703963452269,"score_gpt":0.295311438126698,"score_spread":0.25394104178147114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101421872","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91558486,0.000052528798,0.036911298,0.0058299564,0.0022583604,0.0002746318,0.000004092701,0.0004492231,0.03863502],"genre_scores_gemma":[0.98465425,0.0000031680522,0.002491962,0.00018136155,0.00024384912,0.000008445045,2.4639172e-7,0.000018856404,0.012397886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992551,0.000021698648,0.00016446624,0.00016799606,0.00016942322,0.00022126907],"domain_scores_gemma":[0.99935424,0.00019698401,0.0000284626,0.00031052795,0.000035824145,0.000073961026],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00009330002,0.00010741047,0.00013759646,0.000025197189,0.00004752838,0.000019005056,0.00017340177,0.000066691064,0.0036648929],"category_scores_gemma":[0.00010027624,0.00005425999,0.00006538852,0.000041962117,0.00003064277,0.00009410496,0.0000744798,0.000037142367,0.00020771085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000069126318,0.000013696892,0.000077097095,0.0000058100227,0.00001475692,0.0000027086946,0.000036589,8.761959e-9,0.000930222,0.9893981,0.007998543,0.0015155458],"study_design_scores_gemma":[0.0004444629,0.00003146883,0.00008137156,0.000014834895,0.000008468753,0.000004736063,0.000013863057,0.000002208246,0.0028505563,0.99056655,0.0058615683,0.000119910284],"about_ca_topic_score_codex":0.000011935563,"about_ca_topic_score_gemma":0.000003357625,"teacher_disagreement_score":0.06906933,"about_ca_system_score_codex":0.000027682814,"about_ca_system_score_gemma":0.000023007868,"threshold_uncertainty_score":0.9972459},"labels":[],"label_agreement":null},{"id":"W3101566418","doi":"10.20381/ruor-176","title":"The Hyperbolic Formal Affine Demazure Algebra","year":2016,"lang":"en","type":"article","venue":"uO Research (University of Ottawa)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Affine transformation; Formal group; Pure mathematics; Algebra over a field","score_opus":0.06467707937133133,"score_gpt":0.3147122661161685,"score_spread":0.25003518674483716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101566418","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9593096,0.00005922631,0.0013228295,0.0053477194,0.00023090509,0.00037107177,0.000012214924,0.00007005167,0.0332764],"genre_scores_gemma":[0.9858217,0.00011456488,0.000573034,0.0000085329675,0.000114189184,7.0366457e-7,6.7645453e-7,0.000014779816,0.013351788],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823064,0.00016069133,0.00012307566,0.00020317051,0.00073196355,0.00055045716],"domain_scores_gemma":[0.9978318,0.0011297623,0.00007734646,0.00051781273,0.00030815403,0.00013512124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088916055,0.00010366142,0.0001842962,0.00011950097,0.00076927216,0.000022983475,0.0008827043,0.00011362781,0.0004200561],"category_scores_gemma":[0.0004526837,0.000065598695,0.00011786383,0.0002996902,0.00047152952,0.0002610312,0.00043055596,0.00022832041,0.00005789967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015508469,0.000028562874,0.0007179297,0.000018254328,0.000043538083,0.000009337599,0.00020115987,1.5307994e-7,0.0005602517,0.9716898,0.010690579,0.01602488],"study_design_scores_gemma":[0.001055438,0.00016460413,0.0033701374,0.000036773836,0.000015407233,0.000006648862,0.0008606111,0.000030699168,0.0007636775,0.86947393,0.12409657,0.000125516],"about_ca_topic_score_codex":0.000037181664,"about_ca_topic_score_gemma":0.00023868665,"teacher_disagreement_score":0.11340599,"about_ca_system_score_codex":0.00008073327,"about_ca_system_score_gemma":0.00010577871,"threshold_uncertainty_score":0.59166974},"labels":[],"label_agreement":null},{"id":"W3101694622","doi":"","title":"Freyd’s Generating Hypothesis for Groups with Periodic Cohomology","year":2007,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Alberta","keywords":"Mathematics; Subcategory; Cohomology; Sylow theorems; Pure mathematics; Statement (logic); Group (periodic table); Field (mathematics); Finite group; Combinatorics; Linguistics","score_opus":0.04005674297453014,"score_gpt":0.2818065628804719,"score_spread":0.24174981990594174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101694622","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8495011,0.000027014945,0.1466872,0.00007014053,0.00025036797,0.00027713948,0.0000012972681,0.000083994586,0.0031017754],"genre_scores_gemma":[0.88604856,6.060921e-7,0.11272993,0.00031709237,0.0003117246,0.00002650865,9.740863e-7,0.00002870998,0.00053591956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991524,0.000014029256,0.00021078905,0.00019872372,0.00012832253,0.00029569858],"domain_scores_gemma":[0.99898463,0.0006032411,0.00007760998,0.00020847184,0.00006925787,0.000056761364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026465248,0.00013470075,0.00021209584,0.000038979448,0.0001531736,0.000028032435,0.000121235644,0.000097397715,0.00013234888],"category_scores_gemma":[0.0001510268,0.0000932998,0.000059632155,0.00006497005,0.000048106624,0.00004044496,0.000023592804,0.00006753949,0.0000033234467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061036604,0.000025247657,0.00031175994,0.000025059804,0.000042903837,0.0000045989095,0.0003400168,0.0000035117662,0.000575084,0.9957211,0.0006023533,0.0022873022],"study_design_scores_gemma":[0.0008637877,0.0002467839,0.00022048489,0.000008192449,0.000045429504,0.000039288778,0.0003657502,0.00029452145,0.005353827,0.9917232,0.000628552,0.00021021122],"about_ca_topic_score_codex":0.000019479108,"about_ca_topic_score_gemma":0.00010219228,"teacher_disagreement_score":0.036547463,"about_ca_system_score_codex":0.000030899646,"about_ca_system_score_gemma":0.000029513729,"threshold_uncertainty_score":0.38046554},"labels":[],"label_agreement":null},{"id":"W3101960744","doi":"10.48550/arxiv.2011.06029","title":"Gelfand-Tsetlin modules: canonicity and calculations","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Toronto","funders":"","keywords":"Mathematics; Simple (philosophy); Algebra over a field; Standard basis; Subalgebra; Computation; Eigenvalues and eigenvectors; Basis (linear algebra); Pure mathematics; Algorithm","score_opus":0.1406723039599129,"score_gpt":0.22354452203310482,"score_spread":0.08287221807319192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101960744","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96193975,0.00006466505,0.035215754,0.0001511254,0.00047433097,0.0003483363,0.00005240483,0.00017336689,0.0015802487],"genre_scores_gemma":[0.99853337,0.00007893295,0.0006237474,0.000058382935,0.00016409728,0.0000011354973,0.00001943794,0.000033456945,0.00048742254],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986328,0.00008556261,0.00020659264,0.0007481025,0.00008677879,0.00024017548],"domain_scores_gemma":[0.99876076,0.00014826818,0.0001985018,0.0005892396,0.00009414946,0.00020905255],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00008597981,0.00030684477,0.00043519124,0.00008377723,0.0001715157,0.000054131622,0.00038708907,0.0003604137,0.00007293319],"category_scores_gemma":[0.000102661,0.0003374944,0.00017717468,0.00019063373,0.00010963884,0.000077659606,0.0008962295,0.0005677546,0.000009767447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027857892,0.000028240058,0.00067274726,0.00012737606,0.00013178536,0.000053052012,0.00025447976,0.00635842,0.000007883932,0.99195737,0.0003382649,0.000042523865],"study_design_scores_gemma":[0.00045684763,0.000022485601,0.00076894974,0.000048053178,0.00022860624,0.0000025174184,0.00009256878,0.051907107,0.000026988,0.9459104,0.00019722657,0.00033824405],"about_ca_topic_score_codex":0.00039169085,"about_ca_topic_score_gemma":0.00011615193,"teacher_disagreement_score":0.046046965,"about_ca_system_score_codex":0.00013995043,"about_ca_system_score_gemma":0.00014151023,"threshold_uncertainty_score":0.99990773},"labels":[],"label_agreement":null},{"id":"W3102328120","doi":"","title":"Duals of pointed Hopf algebras","year":2012,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Dual polyhedron; Mathematics; Hopf algebra; Pure mathematics; Algebra over a field","score_opus":0.04748831077844464,"score_gpt":0.31940705534559755,"score_spread":0.2719187445671529,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102328120","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97880095,0.00008416115,0.0005086697,0.00008251077,0.000685523,0.00010047024,8.593957e-7,0.00006052356,0.019676346],"genre_scores_gemma":[0.9953863,0.0000025167749,0.003280362,0.00007673541,0.00015852546,0.0000036843066,7.734023e-7,0.000014679874,0.0010764357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992989,0.000025695404,0.00022111605,0.000074643925,0.00017212603,0.00020754339],"domain_scores_gemma":[0.9993924,0.00015638654,0.00008364099,0.00024227804,0.000049829534,0.00007550029],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015952221,0.00009128777,0.00019073236,0.000033239725,0.000027816686,0.0000053331846,0.00011062535,0.00006511974,0.0011601981],"category_scores_gemma":[0.0001605651,0.000067442765,0.00007424002,0.00008651378,0.000027338116,0.00009320341,0.000054990356,0.000056962625,0.000023833143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000605047,0.000050194347,0.0006944659,0.000018493682,0.000025283985,1.2787402e-7,0.00031179743,8.315791e-8,0.00016219173,0.9943486,0.0041812975,0.00020142556],"study_design_scores_gemma":[0.00025684337,0.000026413367,0.0007374329,0.000009326538,0.00002197094,0.000004450436,0.00013648505,0.000008716294,0.013289621,0.98488,0.0005360752,0.000092714814],"about_ca_topic_score_codex":0.000021747916,"about_ca_topic_score_gemma":0.0000011884122,"teacher_disagreement_score":0.01859991,"about_ca_system_score_codex":0.000011208697,"about_ca_system_score_gemma":0.000012299948,"threshold_uncertainty_score":0.9997529},"labels":[],"label_agreement":null},{"id":"W3102470280","doi":"10.1112/plms/pdw016","title":"Quiver varieties and Hall algebras","year":2016,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Quiver; Realization (probability); Connection (principal bundle); Group (periodic table); Quantum group; Algebra over a field; Algebraic number","score_opus":0.018853373126897974,"score_gpt":0.24593300890678818,"score_spread":0.2270796357798902,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102470280","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9933902,0.00007572314,0.00089958514,0.0021153896,0.00012082363,0.0003106252,0.000002837406,0.00007600867,0.0030088008],"genre_scores_gemma":[0.9914215,0.00003903802,0.006918279,0.000117283984,0.00009059047,0.000018863271,4.1789207e-8,0.000028908456,0.0013654978],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987343,0.000005247004,0.0003435767,0.00023249723,0.00042001702,0.00026436502],"domain_scores_gemma":[0.9989583,0.0004087003,0.00022537852,0.00016250524,0.00016420126,0.00008094868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035480142,0.00019474674,0.00034801362,0.000011344015,0.00013366976,0.000040741474,0.0003838232,0.0001546107,0.00012824702],"category_scores_gemma":[0.0005506888,0.0000922458,0.00026914387,0.00011269863,0.00039709924,0.00016037918,0.00037167512,0.00013107674,0.0000052679106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010958281,0.000045259094,0.00049667363,0.000332239,0.0000655123,3.7363215e-8,0.0011441099,9.897792e-9,0.00434873,0.98958355,0.0036971648,0.00027573068],"study_design_scores_gemma":[0.00048524982,0.00003483118,0.0002956593,0.00015468616,0.000073561496,0.000009026348,0.00026478883,0.000034603036,0.012815898,0.9855175,0.00017238045,0.00014182433],"about_ca_topic_score_codex":0.0000027350818,"about_ca_topic_score_gemma":1.6434203e-7,"teacher_disagreement_score":0.008467168,"about_ca_system_score_codex":0.000036097765,"about_ca_system_score_gemma":0.00001639694,"threshold_uncertainty_score":0.37616745},"labels":[],"label_agreement":null},{"id":"W3102503997","doi":"","title":"HOMOLOGICAL ALGEBRA MODULO EXACT ZERO-DIVISORS","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Modulo; Mathematics; Zero (linguistics); Zero divisor; Pure mathematics; Modulo operation; Algebra over a field; Discrete mathematics; Algorithm","score_opus":0.040336227853892445,"score_gpt":0.28529294089074564,"score_spread":0.24495671303685318,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102503997","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94760484,0.000026593127,0.035021007,0.000742026,0.0005805841,0.00017071237,0.0000024629906,0.00029322025,0.015558558],"genre_scores_gemma":[0.9919472,0.000009969734,0.002411924,0.0001714812,0.00015146135,0.000015919903,4.3210594e-7,0.00002328053,0.005268328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884725,0.000050500617,0.00024183388,0.00028677602,0.0002527043,0.00032091455],"domain_scores_gemma":[0.99897563,0.00038084347,0.00006518623,0.0004180551,0.00004493959,0.00011533257],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00014159798,0.00017944757,0.00024661556,0.000037993934,0.0000734505,0.000024783909,0.00028138814,0.0001475627,0.0023073219],"category_scores_gemma":[0.00026763722,0.00008999207,0.00012327408,0.000080735204,0.00007333079,0.000102401806,0.00012025569,0.000083000035,0.00015581945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013120386,0.000041530384,0.00030026006,0.0000051020043,0.000022946975,0.0000057233733,0.000036529917,2.0589687e-7,0.00033695766,0.9875876,0.0066750753,0.004974988],"study_design_scores_gemma":[0.00052844454,0.000090093105,0.0006879411,0.000013561527,0.000013299012,0.000011639688,0.00001286482,0.000012681736,0.0017441539,0.9955186,0.0011797629,0.00018691855],"about_ca_topic_score_codex":0.000010976487,"about_ca_topic_score_gemma":0.0000018033029,"teacher_disagreement_score":0.04434237,"about_ca_system_score_codex":0.00003785552,"about_ca_system_score_gemma":0.000020087606,"threshold_uncertainty_score":0.9986047},"labels":[],"label_agreement":null},{"id":"W3102596210","doi":"","title":"Braiding Operators are Universal Quantum Gates","year":2004,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":201,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"U.S. Air Force; University of Waterloo; Defense Advanced Research Projects Agency; National Institute of Standards and Technology; Air Force Materiel Command; Institut Périmètre de physique théorique; Air Force Research Laboratory; National Science Foundation","keywords":"Physics; Quantum network; Quantum entanglement; Quantum gate; Quantum algorithm; Quantum computer; Theoretical physics; Unitary state; Quantum mechanics; Quantum teleportation; Topology (electrical circuits); Quantum; Mathematics; Law","score_opus":0.03124139354381023,"score_gpt":0.2740648424340646,"score_spread":0.24282344889025437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102596210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9926969,0.000030379866,0.0024057394,0.000507529,0.00053612015,0.00010076478,0.000001017332,0.00016902802,0.0035525498],"genre_scores_gemma":[0.9981306,0.0000049164946,0.0012778629,0.00010707864,0.00011649786,0.0000020918317,6.464026e-7,0.00001993462,0.00034036167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934393,0.000013817085,0.00013545291,0.00016375718,0.00015138248,0.00019166822],"domain_scores_gemma":[0.99958193,0.00006248141,0.000050717048,0.00018913069,0.000043813525,0.00007194508],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000058872218,0.00012158206,0.00015863714,0.000037778955,0.0001111079,0.000040634975,0.0001570938,0.00007244524,0.00020574394],"category_scores_gemma":[0.00007934936,0.00009650577,0.000060999435,0.00011157628,0.00002762919,0.00011960864,0.000057678244,0.00009323266,0.000025701818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000051392226,0.000019543295,0.00012008468,0.000009914043,0.000016780501,0.0000079941365,0.00023825213,0.000039360937,0.00012380406,0.99900866,0.0003743321,0.00003611099],"study_design_scores_gemma":[0.0005744806,0.000033801647,0.000098181605,0.000028474686,0.000012877728,0.000005762337,0.0009615517,0.0000601079,0.0048253722,0.99294674,0.00030353176,0.00014909357],"about_ca_topic_score_codex":0.00006985392,"about_ca_topic_score_gemma":0.000015911744,"teacher_disagreement_score":0.0060619195,"about_ca_system_score_codex":0.00006961459,"about_ca_system_score_gemma":0.000045433753,"threshold_uncertainty_score":0.39353913},"labels":[],"label_agreement":null},{"id":"W3102783132","doi":"","title":"A QUANTIZED TITS-KANTOR-KOECHER ALGEBRA","year":2013,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Vertex (graph theory); Algebra over a field; Torus; Operator algebra; Fock space; Vertex operator algebra; Pure mathematics; Filtered algebra; Jordan algebra; Algebra representation; Combinatorics; Geometry; Quantum mechanics","score_opus":0.041609625948904945,"score_gpt":0.29763061243658273,"score_spread":0.2560209864876778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102783132","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.937502,0.00005248932,0.0022041164,0.0005507486,0.0007239784,0.00042036342,5.606341e-7,0.0003129046,0.058232803],"genre_scores_gemma":[0.98267335,0.0000044525877,0.006861885,0.00026123333,0.00018414324,0.00004422163,9.737405e-7,0.00003131041,0.009938418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900997,0.0000356512,0.00023951805,0.0002076643,0.00023714737,0.00027002697],"domain_scores_gemma":[0.9992047,0.00016024496,0.00006518865,0.0003803214,0.000089211506,0.00010033101],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00010364116,0.00015923286,0.00023065902,0.00003727654,0.00006406665,0.00007393282,0.00022125388,0.00012041813,0.006778913],"category_scores_gemma":[0.00013972334,0.00011477495,0.00009949612,0.00010715936,0.000030938838,0.00011048334,0.00007489167,0.000120720215,0.0006455321],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004560947,0.00002922196,0.000067696,0.000012765512,0.0000287987,8.670052e-7,0.0001169343,1.4471446e-7,0.0004996022,0.98390186,0.014407209,0.0009303623],"study_design_scores_gemma":[0.0005218041,0.000029739687,0.00023699476,0.000008454024,0.00001546045,0.000004100341,0.00008657868,0.00020272989,0.0013777077,0.9954607,0.0018758196,0.0001799142],"about_ca_topic_score_codex":0.00023256354,"about_ca_topic_score_gemma":0.000009367854,"teacher_disagreement_score":0.048294384,"about_ca_system_score_codex":0.000024930165,"about_ca_system_score_gemma":0.000028454124,"threshold_uncertainty_score":0.994129},"labels":[],"label_agreement":null},{"id":"W3103197860","doi":"10.1007/s00209-016-1776-9","title":"A general approach to Heisenberg categorification via wreath product algebras","year":2016,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Categorification; Morphism; Wreath product; Symmetric monoidal category; Conjecture; Algebra over a field; Heisenberg group; Monoidal category; Embedding","score_opus":0.032932066566336314,"score_gpt":0.27672098806927997,"score_spread":0.24378892150294365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103197860","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5006345,0.00024093947,0.4239472,0.001956306,0.0011443417,0.0024751425,0.000024883488,0.0008381994,0.068738535],"genre_scores_gemma":[0.92675006,0.000009730727,0.066726096,0.00013991357,0.00077210664,0.0003675622,0.000008703376,0.00012228101,0.0051035294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99710035,0.00012202464,0.0006626201,0.00084844563,0.0006245205,0.0006420576],"domain_scores_gemma":[0.9977243,0.00019796386,0.0002537959,0.001329141,0.00019141847,0.00030335778],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005421536,0.0004780256,0.0005891423,0.00016004864,0.000199198,0.000087141976,0.00063403486,0.00018166428,0.0002049389],"category_scores_gemma":[0.00046034527,0.00030144057,0.00018283672,0.00038439673,0.000070202695,0.0002789628,0.00019518095,0.00017696981,0.00038401195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028594091,0.00021823884,0.000077312965,0.00010506981,0.00008356421,0.0000020688801,0.0007858753,0.0000031857357,0.010471921,0.976518,0.00688164,0.0048245396],"study_design_scores_gemma":[0.0011727572,0.00012126886,0.0005173897,0.00011430035,0.0001277826,0.000111644156,0.00006875171,0.00018258023,0.03224386,0.9465519,0.017853854,0.0009339196],"about_ca_topic_score_codex":0.000032028336,"about_ca_topic_score_gemma":0.0000032630917,"teacher_disagreement_score":0.4261156,"about_ca_system_score_codex":0.000026235582,"about_ca_system_score_gemma":0.000077451914,"threshold_uncertainty_score":0.9999438},"labels":[],"label_agreement":null},{"id":"W3103396750","doi":"","title":"Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials","year":2001,"lang":"en","type":"article","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université Laval","funders":"","keywords":"Eigenfunction; Trigonometry; Monomial; Formalism (music); Generalization; Mathematics; Pure mathematics; Operator (biology); Algebra over a field; Mathematical physics; Physics; Mathematical analysis; Quantum mechanics; Eigenvalues and eigenvectors","score_opus":0.06109335721234392,"score_gpt":0.2972393918845314,"score_spread":0.23614603467218748,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103396750","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99621457,0.00013824843,0.000044654214,0.00055384147,0.00019796923,0.00062282634,0.000002384106,0.00022941068,0.0019961065],"genre_scores_gemma":[0.9970277,0.0002608671,0.000043515924,0.00013114112,0.0002369354,0.0000012609114,0.000042260846,0.00036093444,0.0018953679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977524,0.0003357896,0.00037650627,0.0004962938,0.0005369775,0.0005020344],"domain_scores_gemma":[0.9986083,0.00016388448,0.00008867885,0.0005120664,0.00037791493,0.00024918196],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008977003,0.00023453568,0.00028038488,0.00023641,0.0007776525,0.0005515292,0.0005969918,0.00010949325,0.0016813101],"category_scores_gemma":[0.00046872898,0.00021641723,0.000071536146,0.00069517625,0.00013095756,0.00050781015,0.00059937563,0.00023358104,0.00022613157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007776213,0.000084163585,0.0002728956,0.00007262806,0.00007123639,0.000012559726,0.0012559714,0.000029482462,0.000049478058,0.9954246,0.00215377,0.00049544044],"study_design_scores_gemma":[0.0015844388,0.00023257708,0.00048966473,0.000034558736,0.00004190971,0.00004924876,0.0004937916,0.000050718536,0.00023714895,0.990446,0.006007761,0.00033223536],"about_ca_topic_score_codex":0.0000652468,"about_ca_topic_score_gemma":0.0000030049732,"teacher_disagreement_score":0.004978666,"about_ca_system_score_codex":0.00016196979,"about_ca_system_score_gemma":0.000016740578,"threshold_uncertainty_score":0.9992313},"labels":[],"label_agreement":null},{"id":"W3103424700","doi":"","title":"A categorification of Morelli’s theorem","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Categorification; Tensor product; Coherent sheaf; Toric variety; Derived category; Pure mathematics; Triangulated category; Equivariant map; Product (mathematics); Cohomology; Combinatorics; Algebra over a field; Geometry; Functor","score_opus":0.036360413852501716,"score_gpt":0.2903261899906938,"score_spread":0.2539657761381921,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103424700","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9216374,0.000022023134,0.052362047,0.00045088172,0.00030623146,0.00014108892,0.000001442153,0.00006981039,0.025009075],"genre_scores_gemma":[0.9974752,0.00000664477,0.0010079758,0.000011372223,0.000043848264,0.000004654789,1.6559412e-7,0.0000073767073,0.0014427379],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959564,0.000014236643,0.00013752923,0.00008010852,0.00010113478,0.000071367234],"domain_scores_gemma":[0.99950737,0.00013669387,0.00006303286,0.0002220015,0.000049828406,0.000021059206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000081264865,0.00004942726,0.00008898038,0.000018521967,0.00001296883,0.000002256377,0.00009729458,0.000037757258,0.00034155624],"category_scores_gemma":[0.00007987468,0.000024598245,0.000035975398,0.00004236993,0.00003248509,0.000032261858,0.000015009639,0.000015600024,0.000012043047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007149114,0.000013081467,0.00007421105,0.000006025861,0.0000075240773,7.770452e-8,0.00007433652,5.314002e-8,0.0034332832,0.99311966,0.0003615453,0.002903037],"study_design_scores_gemma":[0.00018601575,0.00001822629,0.00013161825,0.0000069125535,0.0000066865323,7.245547e-7,0.000024743764,0.0000062958293,0.039615445,0.95976377,0.0001978993,0.000041677435],"about_ca_topic_score_codex":0.000009936285,"about_ca_topic_score_gemma":0.0000010277809,"teacher_disagreement_score":0.07583782,"about_ca_system_score_codex":0.000010709516,"about_ca_system_score_gemma":0.0000132210525,"threshold_uncertainty_score":0.3739801},"labels":[],"label_agreement":null},{"id":"W3103458679","doi":"10.1007/s10468-014-9476-9","title":"Ghost Numbers of Group Algebras","year":2014,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Group (periodic table); Triangulated category; Abelian group; Combinatorics; Cohomology; Quaternion group; Natural number; Zero (linguistics); Symmetric group; Discrete mathematics; Pure mathematics; Derived category; Functor; Alternating group","score_opus":0.018128452228138754,"score_gpt":0.28914858740384597,"score_spread":0.2710201351757072,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103458679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97051615,0.00016731356,0.020233216,0.000119365104,0.0005287669,0.00021870596,0.0000024125916,0.0000695668,0.008144524],"genre_scores_gemma":[0.9971724,0.00003884267,0.002080116,0.0001262484,0.00017505257,0.000013557923,0.0000060517627,0.000027807186,0.00035992355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986713,0.00024408525,0.00035927873,0.00028745332,0.00025444417,0.00018344009],"domain_scores_gemma":[0.99809647,0.0011432036,0.00021881249,0.00038579848,0.0000664535,0.000089286856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005176899,0.00015924491,0.0002909826,0.00007166695,0.000108711356,0.000028822877,0.00015836004,0.00010770575,0.00024325021],"category_scores_gemma":[0.00054707483,0.00013032777,0.00009732714,0.00014829695,0.00018699138,0.00013526698,0.00008652665,0.00010801425,0.0000065768563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052383268,0.000037809157,0.001470942,0.000047957798,0.0000596564,6.465139e-7,0.000856695,0.0000014429515,0.00040068224,0.99148214,0.00026741833,0.0053222016],"study_design_scores_gemma":[0.0005249856,0.000074541626,0.002849611,0.000030387602,0.000057624864,0.00000839803,0.0006083408,0.000053742573,0.0029266619,0.99253654,0.00017687502,0.00015229099],"about_ca_topic_score_codex":0.00004801838,"about_ca_topic_score_gemma":0.000004178842,"teacher_disagreement_score":0.02665627,"about_ca_system_score_codex":0.000009899457,"about_ca_system_score_gemma":0.000011781495,"threshold_uncertainty_score":0.53146124},"labels":[],"label_agreement":null},{"id":"W3104154385","doi":"","title":"The WN minimal model classification","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; MacEwan University","funders":"Julius-Maximilians-Universität Würzburg; University of Alberta","keywords":"Minimal models; Unitary state; Invariant (physics); Minimal model; Modular design; Modular invariance; Modular form; Conformal field theory; Pure mathematics; Mathematics; Conformal map; Partition function (quantum field theory); Combinatorics; Partition (number theory); Algebra over a field; Physics; Mathematical physics; Computer science; Geometry; Quantum mechanics; Mathematical analysis","score_opus":0.07305154711652531,"score_gpt":0.3124109696712551,"score_spread":0.23935942255472978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104154385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70174676,0.000056831395,0.18562102,0.0101281945,0.0009673486,0.0003784514,0.0000031233783,0.00028022265,0.10081803],"genre_scores_gemma":[0.9882634,0.000011733653,0.0017099556,0.00004940074,0.000088244546,0.0000151722725,1.0706821e-7,0.000009497997,0.009852473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994817,0.000015239981,0.00013193932,0.00010430489,0.0001380567,0.00012879992],"domain_scores_gemma":[0.99930066,0.00030069705,0.000045668534,0.00027983842,0.0000421863,0.000030948042],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011168942,0.00006254638,0.000059596157,0.000008242312,0.000121280864,0.000023359557,0.00016630722,0.00004437351,0.000054118278],"category_scores_gemma":[0.00012671288,0.00002474441,0.000040027837,0.000028827202,0.00004187144,0.00005097266,0.00003136346,0.000029489398,0.000021254938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000921707,0.000005958867,0.000015340047,0.0000011164602,0.000005734668,5.397952e-8,0.000031159212,4.0205228e-7,0.00072335615,0.98835087,0.0056088557,0.005247912],"study_design_scores_gemma":[0.00017540377,0.000011013371,0.00009213935,0.0000035900725,0.0000056760296,7.281305e-7,0.0000327609,0.0040316302,0.00065016584,0.99345624,0.0014862387,0.000054435357],"about_ca_topic_score_codex":0.0000013929637,"about_ca_topic_score_gemma":0.0000036710262,"teacher_disagreement_score":0.28651664,"about_ca_system_score_codex":0.000022715305,"about_ca_system_score_gemma":0.000025739995,"threshold_uncertainty_score":0.10090477},"labels":[],"label_agreement":null},{"id":"W3104442609","doi":"","title":"Can Fusion Coefficients Be Calculated From the Depth Rule?","year":2007,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge; Université Laval","funders":"","keywords":"Fusion; Tensor product; Basis (linear algebra); Computation; Truncation (statistics); Product (mathematics); Simple (philosophy); Tensor (intrinsic definition); Mathematics; Fusion rules; Applied mathematics; Algorithm; Pure mathematics; Geometry; Statistics; Image fusion","score_opus":0.033340971655894926,"score_gpt":0.29403188846499534,"score_spread":0.2606909168091004,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104442609","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9860322,0.000027969762,0.006680615,0.0005258772,0.0007135121,0.0001846537,0.000006032114,0.00009850824,0.0057306383],"genre_scores_gemma":[0.99790037,0.0000019260233,0.0006795873,0.00068292965,0.00016568557,0.0000017478933,0.000011104734,0.000018251176,0.0005383912],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990202,0.000028187134,0.00021614424,0.00017498167,0.00031491846,0.00024557236],"domain_scores_gemma":[0.9990751,0.00038436765,0.00006189538,0.00035228042,0.000050564013,0.000075759526],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021417653,0.0001250517,0.0001360973,0.000017663562,0.00016106616,0.000030883486,0.00024165772,0.00010223688,0.0003758022],"category_scores_gemma":[0.00011457105,0.00007128184,0.00006463673,0.00013615369,0.0000362478,0.000019337003,0.00009393627,0.0001281857,0.000010280602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052898693,0.00009548334,0.0020298404,0.000005120396,0.00006508847,0.000011404459,0.0019299651,0.000013588344,0.00071994454,0.9838855,0.005371623,0.0058194883],"study_design_scores_gemma":[0.00069412985,0.000025852725,0.0077031045,0.000015479323,0.000042756466,0.0000028738589,0.00049929746,0.00045249538,0.0036647464,0.98500776,0.0017092956,0.00018220689],"about_ca_topic_score_codex":0.0013301362,"about_ca_topic_score_gemma":0.0008680634,"teacher_disagreement_score":0.011868183,"about_ca_system_score_codex":0.000040566716,"about_ca_system_score_gemma":0.00002311542,"threshold_uncertainty_score":0.41147706},"labels":[],"label_agreement":null},{"id":"W3104459875","doi":"","title":"Vertex Representations for Yangians of Kac-Moody algebras","year":2018,"lang":"en","type":"article","venue":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Social Fund; Natural Sciences and Engineering Research Council of Canada","keywords":"Yangian; Corollary; Vertex (graph theory); Mathematics; Affine transformation; Pure mathematics; Property (philosophy); Algebra over a field; Combinatorics; Graph","score_opus":0.08642167259797996,"score_gpt":0.3250692069938417,"score_spread":0.23864753439586173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104459875","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9706801,0.000101356636,0.017894464,0.0029797445,0.00019620289,0.0009898838,0.00046660198,0.00005775726,0.0066338507],"genre_scores_gemma":[0.98377645,0.00025352585,0.010438418,0.00000865684,0.000059801605,2.1364858e-8,0.000041380354,0.000019455672,0.005402281],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.99763155,0.00036095508,0.00024801056,0.00044973206,0.0008345528,0.0004751872],"domain_scores_gemma":[0.9955246,0.0012055293,0.0004932149,0.0009410157,0.0016472357,0.00018842994],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0008969213,0.0002183751,0.00067021226,0.0005474682,0.0009333691,0.0000078704015,0.0019368146,0.00033535616,0.0008366883],"category_scores_gemma":[0.00022846984,0.00026051488,0.00050370034,0.0009885124,0.0027529951,0.0002995181,0.0008649541,0.0004770356,0.000007335496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0099398205,0.0038330783,0.006053743,0.0022818602,0.0034605707,0.00010005873,0.14684875,0.00049596326,0.010067259,0.7257883,0.08022446,0.01090613],"study_design_scores_gemma":[0.018531537,0.0056826896,0.01840059,0.001371318,0.002111274,0.00002277248,0.65541434,0.009258859,0.0033813936,0.2461458,0.03816683,0.0015125992],"about_ca_topic_score_codex":0.005445956,"about_ca_topic_score_gemma":0.0040633767,"teacher_disagreement_score":0.5085656,"about_ca_system_score_codex":0.00012528588,"about_ca_system_score_gemma":0.00038792053,"threshold_uncertainty_score":0.9999847},"labels":[],"label_agreement":null},{"id":"W3104744844","doi":"","title":"Classification of Derivation-Simple Color Algebras Related to Locally Finite Derivations","year":2004,"lang":"en","type":"article","venue":"Scholars Commons (Wilfrid Laurier University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Simple (philosophy); Pure mathematics; Commutative property; Algebraically closed field; Associative property; Algebra over a field; Lie algebra; Associative algebra; Finite field; Subspace topology; Algebra representation; Discrete mathematics; Mathematical analysis; Division algebra","score_opus":0.02567482889797403,"score_gpt":0.25607408179157826,"score_spread":0.23039925289360422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104744844","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9784256,0.000014952885,0.015337957,0.0011755674,0.00022443713,0.00048225076,0.000033225107,0.00014898184,0.004156989],"genre_scores_gemma":[0.99305445,0.000005798755,0.006252853,0.00011183116,0.00001989665,0.0000041375697,0.00004262441,0.000032854474,0.0004755554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849707,0.00011344425,0.00041152845,0.0003433712,0.00034215575,0.00029241055],"domain_scores_gemma":[0.9982085,0.00029648445,0.00025392688,0.0006742838,0.00037038364,0.00019639573],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020766836,0.0002184383,0.00031408988,0.00046337518,0.00040099182,0.000050169136,0.00057894725,0.00020901315,0.00011188699],"category_scores_gemma":[0.00054071913,0.0002490458,0.0001348985,0.0015786907,0.00012598545,0.00046983085,0.00019436011,0.00034359787,0.000027643231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006276661,0.000130162,0.0027012401,0.000017471917,0.000088646186,0.000008857576,0.0005573534,0.0008781343,0.0013463926,0.99362755,0.0003818737,0.0001995388],"study_design_scores_gemma":[0.0019117242,0.00018289583,0.01468491,0.00007913089,0.0001265036,0.0000047437957,0.0007968509,0.00011292611,0.0028660903,0.965975,0.012866845,0.00039241236],"about_ca_topic_score_codex":0.00006363768,"about_ca_topic_score_gemma":0.00021034204,"teacher_disagreement_score":0.027652595,"about_ca_system_score_codex":0.0002614883,"about_ca_system_score_gemma":0.00027817354,"threshold_uncertainty_score":0.9999962},"labels":[],"label_agreement":null},{"id":"W3105188871","doi":"10.1090/tran/2015-367-03","title":"Lifts of longest elements to braid groups acting on derived categories","year":2015,"lang":"en","type":"paratext","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.0384352327574104,"score_gpt":0.31913396942628625,"score_spread":0.28069873666887585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3105188871","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7313258,0.0001408116,0.23710574,0.0021022705,0.0034124719,0.0033471892,0.0005829684,0.0001681228,0.021814616],"genre_scores_gemma":[0.9758649,0.000049705344,0.018077405,0.0002362871,0.00022055257,0.00010186978,0.000008882328,0.00013030837,0.005310113],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99709666,0.00014778574,0.000978715,0.00039432675,0.0009591872,0.00042334618],"domain_scores_gemma":[0.9964331,0.00087757496,0.0011759549,0.0010479302,0.0002754813,0.00018999173],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00039158436,0.00048271165,0.0013754257,0.000056846777,0.00019355761,0.000028154336,0.0009227964,0.0002139295,0.00064624386],"category_scores_gemma":[0.00022790366,0.00034054279,0.0009144399,0.00059362577,0.0005682914,0.000059470363,0.00008532681,0.0006341751,0.0000985621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0018846898,0.0089116655,0.000051609444,0.017367816,0.0143347755,0.000004140917,0.102554135,0.0039860904,0.013517836,0.3550888,0.45637563,0.025922805],"study_design_scores_gemma":[0.0012678748,0.0014042178,0.00004651128,0.0013882731,0.0012848831,0.000010684072,0.009288417,0.00030288548,0.02386563,0.95704204,0.002863451,0.0012351393],"about_ca_topic_score_codex":0.000104408195,"about_ca_topic_score_gemma":0.0000075687003,"teacher_disagreement_score":0.6019532,"about_ca_system_score_codex":0.00019763662,"about_ca_system_score_gemma":0.00021265444,"threshold_uncertainty_score":0.99990463},"labels":[],"label_agreement":null},{"id":"W3105448204","doi":"","title":"Single-channel correlators and residue calculus","year":2001,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conformal map; Partial fraction decomposition; Simple (philosophy); Mathematics; Residue (chemistry); Calculus (dental); Channel (broadcasting); Expression (computer science); Pure mathematics; Mathematical physics; Mathematical analysis; Computer science; Chemistry","score_opus":0.04392412468409884,"score_gpt":0.2714841688406892,"score_spread":0.22756004415659037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3105448204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96839774,0.00011625549,0.004448494,0.00023459565,0.0005770954,0.00012166026,5.253165e-7,0.0001246222,0.025979014],"genre_scores_gemma":[0.99564916,0.000013261654,0.0005258098,0.0001236388,0.00012209863,0.0000039690535,4.972986e-7,0.000017796241,0.0035437408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993433,0.000017638255,0.00015261279,0.00016745759,0.0001374732,0.00018156735],"domain_scores_gemma":[0.99952555,0.00012844855,0.000040604697,0.00018692481,0.00003086499,0.000087614164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007117372,0.000112626505,0.00014956523,0.000032361175,0.00007866817,0.000029513845,0.00007537485,0.00009266479,0.00015052494],"category_scores_gemma":[0.00010810354,0.00008757155,0.000035103192,0.00008525858,0.000037785016,0.0000593176,0.000059030233,0.000086022264,0.000009529397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001560977,0.000027627231,0.0003900484,0.000007758148,0.00001421816,0.00001107576,0.00023486259,0.0000017096205,0.00002978255,0.9962939,0.0022231676,0.0007502359],"study_design_scores_gemma":[0.00037165618,0.00006201041,0.0002618869,0.000010963023,0.00001818816,0.000053390533,0.00015826274,0.00047193537,0.0003944421,0.99687177,0.0011874705,0.00013801621],"about_ca_topic_score_codex":0.00007635782,"about_ca_topic_score_gemma":0.000035806366,"teacher_disagreement_score":0.02725145,"about_ca_system_score_codex":0.00002089245,"about_ca_system_score_gemma":0.000010725168,"threshold_uncertainty_score":0.35710642},"labels":[],"label_agreement":null},{"id":"W3105564000","doi":"","title":"A minimaj-preserving crystal on ordered multiset partitions","year":2018,"lang":"en","type":"article","venue":"eScholarship (California Digital Library)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Simons Foundation; National Science Foundation","keywords":"Multiset; Mathematics; Combinatorics; Discrete mathematics","score_opus":0.033254046004424116,"score_gpt":0.266403920388765,"score_spread":0.23314987438434087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3105564000","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9463795,0.000032119595,0.00028663588,0.00063734903,0.00048637873,0.00038746855,0.0014859892,0.00060917594,0.049695373],"genre_scores_gemma":[0.9952522,0.0000023472678,0.00187116,0.00054218573,0.0007125782,0.000042948363,0.00016280178,0.00011693742,0.0012968492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783444,0.00008292965,0.00049745326,0.0005235065,0.00047923022,0.0005824617],"domain_scores_gemma":[0.9982971,0.00040100963,0.00016072088,0.0007313232,0.00007612713,0.00033370746],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0001085909,0.0003702912,0.00033922773,0.00013621493,0.0003380811,0.0010110518,0.00064062054,0.00020643907,0.002393462],"category_scores_gemma":[0.0009280167,0.00032543603,0.00020873886,0.00039520115,0.00017138335,0.0018402521,0.0003917016,0.00039762803,0.0015036133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007997644,0.0010758621,0.01506357,0.0001917914,0.0002674392,0.0000809818,0.00033813348,0.0000060292205,0.00039640113,0.8641751,0.11393689,0.0036680428],"study_design_scores_gemma":[0.0008391723,0.00025804184,0.0007147388,0.000117687436,0.000022886079,0.000009866334,0.000048370828,0.00012344259,0.0016900619,0.92009336,0.07564943,0.00043291264],"about_ca_topic_score_codex":0.0000025822476,"about_ca_topic_score_gemma":0.000002775087,"teacher_disagreement_score":0.05591829,"about_ca_system_score_codex":0.000034456298,"about_ca_system_score_gemma":0.00008357385,"threshold_uncertainty_score":0.9999198},"labels":[],"label_agreement":null},{"id":"W3105906540","doi":"","title":"CATEGORICAL GEOMETRIC SKEW HOWE DUALITY","year":2010,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Division of Mathematical Sciences; American Institute of Mathematics; National Science Foundation","keywords":"Categorification; Mathematics; Tensor product; Pure mathematics; Functor; Duality (order theory); Isomorphism (crystallography); Skew; Grassmannian; Categorical variable; Algebra over a field; Combinatorics; Physics","score_opus":0.03628271156164214,"score_gpt":0.3195089719461299,"score_spread":0.2832262603844878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3105906540","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9612836,0.000015086108,0.008601329,0.00037542367,0.0021493963,0.00014097992,0.0000013104445,0.0001864266,0.027246429],"genre_scores_gemma":[0.99378735,0.000002046473,0.0036405541,0.00010125921,0.0003463801,0.0000075500075,0.0000011266117,0.000015625466,0.0020981315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990906,0.000020875823,0.0001999067,0.00019689709,0.00026461598,0.00022711627],"domain_scores_gemma":[0.9990948,0.00026518662,0.000053860156,0.00040327318,0.000066239496,0.000116672934],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00021066293,0.000120759265,0.00018802713,0.00008030987,0.00007601744,0.000039968145,0.00021493426,0.00014670503,0.0015537201],"category_scores_gemma":[0.00048251826,0.000088180976,0.00008379113,0.00036040778,0.00003613979,0.000059854618,0.00008389902,0.0003026264,0.00006394723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033209756,0.00004471559,0.00025647343,0.000009410837,0.000011055008,0.0000024037597,0.000036025544,5.4177843e-8,0.000108776556,0.9932343,0.005048714,0.0012447855],"study_design_scores_gemma":[0.00022679669,0.000022729502,0.0012549144,5.8286497e-7,0.000014031204,0.00001239384,0.000012835224,0.000022070695,0.00095481635,0.9932328,0.0041139857,0.00013207547],"about_ca_topic_score_codex":0.00008549068,"about_ca_topic_score_gemma":0.000019908364,"teacher_disagreement_score":0.03250371,"about_ca_system_score_codex":0.000015963074,"about_ca_system_score_gemma":0.000033505836,"threshold_uncertainty_score":0.999359},"labels":[],"label_agreement":null},{"id":"W3106015249","doi":"","title":"ON THE SPECTRUM OF GEOMETRIC OPERATORS ON KAHLER MANIFOLDS","year":2009,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Pure mathematics; Manifold (fluid mechanics); Dirac operator; Laplace operator; Operator (biology); Differential operator; Laplace–Beltrami operator; Homogeneous space; Mathematical analysis; Symplectic geometry; Spectrum (functional analysis); Mathematical physics; Quantum mechanics; p-Laplacian; Physics","score_opus":0.02792382299971469,"score_gpt":0.27027168805078505,"score_spread":0.24234786505107037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106015249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93956625,0.0000146569255,0.00026027387,0.0012161,0.00030010205,0.00018044791,8.686134e-7,0.000040148578,0.05842117],"genre_scores_gemma":[0.99784756,0.0000041209532,0.00009451253,0.00085451885,0.00009239661,0.000002246517,2.6235412e-7,0.000010441754,0.0010939586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917984,0.00002796284,0.0001874586,0.00014269832,0.0002987645,0.00016326467],"domain_scores_gemma":[0.99914587,0.00033633038,0.00006145428,0.00039652476,0.000024036703,0.000035817382],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00014343394,0.00012444989,0.00017109052,0.00010827426,0.00006040087,0.000020491743,0.00023871391,0.00006476429,0.0009566882],"category_scores_gemma":[0.00015031484,0.00006569155,0.00008263004,0.00035995615,0.00001601183,0.00002333713,0.000020534777,0.00011966002,0.000034754758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016842509,0.000059200433,0.000011191381,0.0000027622661,0.00001344907,0.0000010685098,0.00005480033,0.000011520168,0.000019379304,0.9937726,0.0056676576,0.0003695162],"study_design_scores_gemma":[0.00021405715,0.0004465487,0.0007146623,0.000012524206,0.0000101199985,0.0000012152677,0.000039833612,0.000038169288,0.008623765,0.98966086,0.00015013115,0.000088124725],"about_ca_topic_score_codex":0.000010168078,"about_ca_topic_score_gemma":0.0000012146278,"teacher_disagreement_score":0.05828131,"about_ca_system_score_codex":0.00002613673,"about_ca_system_score_gemma":0.000014139559,"threshold_uncertainty_score":0.99995655},"labels":[],"label_agreement":null},{"id":"W3106208212","doi":"","title":"Quarter BPS classified by Brauer algebra","year":2010,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Algebra over a field; Algebraic number; Brauer group; Pure mathematics; Operator (biology); Simple (philosophy); Quarter (Canadian coin); Mathematical analysis","score_opus":0.015710931882553826,"score_gpt":0.27169379314486514,"score_spread":0.2559828612623113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106208212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93057793,0.00001219686,0.0024422517,0.0011319724,0.0020519625,0.0001918724,0.0000034614075,0.0002376222,0.063350715],"genre_scores_gemma":[0.99139744,9.939907e-7,0.0020114698,0.00047237842,0.00028445516,0.000014605217,0.0000035104345,0.000028406223,0.0057867565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990264,0.000020285981,0.00022567785,0.00023380108,0.00022997777,0.00026385047],"domain_scores_gemma":[0.9991821,0.0001504887,0.00006218014,0.00044410088,0.000046533172,0.00011460665],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000108052045,0.00016356671,0.00019290479,0.000028843464,0.00008123446,0.000060593182,0.00023875671,0.00019144054,0.003165498],"category_scores_gemma":[0.00007377577,0.00012217928,0.00008895114,0.00007547962,0.000049817536,0.0000997489,0.000047498706,0.00031159288,0.00011121809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064051856,0.00003465015,0.00007113612,0.0000059557333,0.000016321073,7.921987e-7,0.0000992173,1.4123624e-8,0.0048561944,0.8321942,0.1622411,0.00047397276],"study_design_scores_gemma":[0.00044333597,0.000033217868,0.00011569822,0.0000025945164,0.000015322574,0.000005770188,0.00006486645,0.0000609012,0.0057759355,0.97459143,0.018697934,0.00019300889],"about_ca_topic_score_codex":0.00002442017,"about_ca_topic_score_gemma":0.000028158487,"teacher_disagreement_score":0.14354317,"about_ca_system_score_codex":0.000009350937,"about_ca_system_score_gemma":0.000023317525,"threshold_uncertainty_score":0.99774575},"labels":[],"label_agreement":null},{"id":"W3106542626","doi":"","title":"Braiding via geometric Lie algebra actions","year":2016,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Braid group; Mathematics; Categorical variable; Action (physics); Algebra over a field; Pure mathematics; Braid; Flag (linear algebra); Braid theory; Lie algebra; Lie group","score_opus":0.06251955678028523,"score_gpt":0.3064883511720686,"score_spread":0.24396879439178334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106542626","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70221627,0.000057980636,0.2649783,0.0012178295,0.0017039964,0.0002299755,0.000002688107,0.00043630775,0.029156657],"genre_scores_gemma":[0.991606,0.000009797565,0.002217902,0.00008754193,0.0002704204,0.000012155634,3.0133634e-7,0.000024304858,0.005771587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911815,0.00002071922,0.00019908098,0.00019937426,0.00021196489,0.00025073526],"domain_scores_gemma":[0.9989324,0.00053442956,0.00006743423,0.0003191176,0.000053189535,0.00009337862],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001082514,0.0001269697,0.00016204809,0.00016313313,0.00011956308,0.000027436781,0.00017740636,0.00009015996,0.0020408425],"category_scores_gemma":[0.00031592094,0.000074533775,0.000093552306,0.0003706107,0.000026803331,0.00016301734,0.000074573574,0.000067772206,0.00015876409],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042022534,0.000023915945,0.00009610198,0.000006548783,0.000028667098,0.0000010578023,0.00002406349,8.935202e-8,0.0013432127,0.97559756,0.003406678,0.019467883],"study_design_scores_gemma":[0.00035583272,0.000033472377,0.00031510682,0.000013544506,0.000018688012,0.000010203217,0.000017904391,0.000008330697,0.008816894,0.98731524,0.0029490762,0.000145711],"about_ca_topic_score_codex":0.000013650543,"about_ca_topic_score_gemma":0.000003985435,"teacher_disagreement_score":0.2893897,"about_ca_system_score_codex":0.000061008213,"about_ca_system_score_gemma":0.000022972343,"threshold_uncertainty_score":0.99887145},"labels":[],"label_agreement":null},{"id":"W3107176530","doi":"10.1063/5.0041097","title":"Heun operator of Lie type and the modified algebraic Bethe ansatz","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Agence Nationale de la Recherche","keywords":"Bethe ansatz; Algebraic number; Mathematics; Mathematical physics; Hamiltonian (control theory); Operator (biology); Quantum entanglement; Ordinary differential equation; Fundamental representation; Lie algebra; Pure mathematics; Physics; Quantum mechanics; Differential equation; Mathematical analysis; Quantum; Integrable system","score_opus":0.037604894808710584,"score_gpt":0.2935484423525888,"score_spread":0.2559435475438782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3107176530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9812479,0.00066912087,0.0151235415,0.00089387246,0.00038535934,0.00015991532,0.0000024056194,0.000010069726,0.001507792],"genre_scores_gemma":[0.9947134,0.000066189205,0.0046200748,0.00012774814,0.00033985352,0.0000015348552,3.0655497e-7,0.00002432949,0.000106511456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844617,0.00015092031,0.00067005504,0.0001058339,0.0004707333,0.00015626774],"domain_scores_gemma":[0.9972974,0.0012739657,0.00042514087,0.0003167897,0.00059668435,0.000090034206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057039724,0.00015608537,0.0006759346,0.00001930685,0.00006692545,0.000045947745,0.00024630135,0.000083900966,0.00007326502],"category_scores_gemma":[0.0012540064,0.00008732912,0.00018906202,0.0002457195,0.00021256357,0.000105434774,0.000104505,0.00031542193,0.0000027932092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095509255,0.0001537421,0.000003982077,0.00016655994,0.00016307115,0.000008827958,0.00096229766,0.000015128839,0.00047857745,0.99691564,0.000381952,0.0006546999],"study_design_scores_gemma":[0.0014775775,0.0000903737,0.000012617803,0.00013411185,0.00018662018,0.00008388328,0.00026490545,0.0006346962,0.005126592,0.99186355,0.000030757557,0.00009434136],"about_ca_topic_score_codex":6.4592695e-7,"about_ca_topic_score_gemma":1.7974067e-7,"teacher_disagreement_score":0.013465529,"about_ca_system_score_codex":0.000017420762,"about_ca_system_score_gemma":0.00014638263,"threshold_uncertainty_score":0.3561178},"labels":[],"label_agreement":null},{"id":"W3107595906","doi":"10.1093/imrn/rnad016","title":"(0,2) Mirror Symmetry on Homogeneous Hopf Surfaces","year":2023,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ministerio de Ciencia e Innovación; University of Toronto; Instituto de Ciencias Matemáticas","keywords":"Mirror symmetry; Mathematics; Vertex (graph theory); Homogeneous; Pure mathematics; Duality (order theory); Spinor; Symmetry (geometry); Quadratic equation; Hopf algebra; Algebra over a field; Combinatorics; Mathematical physics; Geometry; Graph","score_opus":0.24039049781579877,"score_gpt":0.4658690394816324,"score_spread":0.22547854166583362,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3107595906","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9692065,0.000036274036,0.000048561655,0.0018372479,0.0015294891,0.0004070406,0.000032291933,0.00030925169,0.026593348],"genre_scores_gemma":[0.9884725,0.000054798747,0.0035670265,0.00005035382,0.0002414045,0.00007543431,0.000015043017,0.00006798965,0.0074554076],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99593914,0.00014829065,0.00047977577,0.00042105597,0.0024022316,0.0006095122],"domain_scores_gemma":[0.9941486,0.0044512847,0.00015846083,0.00056631153,0.00051791593,0.00015740923],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017775389,0.00023577754,0.0003061178,0.00066227757,0.00027688005,0.00029242094,0.0012040299,0.00015027796,0.0006673627],"category_scores_gemma":[0.0033181154,0.00019363979,0.00014449364,0.0006969989,0.00016556945,0.00015848484,0.0003981606,0.00048232975,0.0013842981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003948374,0.0002511903,0.000108165266,0.00016594723,0.00016990252,0.00006954062,0.0007510641,0.00006248544,0.0003880969,0.9900645,0.007241935,0.0006877057],"study_design_scores_gemma":[0.00036260614,0.00012618887,0.00027738357,0.00016603291,0.000013196482,0.000008819546,0.0006693614,0.00904583,0.0019516599,0.9842582,0.0029021725,0.00021857776],"about_ca_topic_score_codex":0.00006459615,"about_ca_topic_score_gemma":0.00003008429,"teacher_disagreement_score":0.019266047,"about_ca_system_score_codex":0.00014433145,"about_ca_system_score_gemma":0.00008028763,"threshold_uncertainty_score":0.9993932},"labels":[],"label_agreement":null},{"id":"W3112157416","doi":"10.1090/tran/8720","title":"On the number of generators of an algebra over a commutative ring","year":2022,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Research Council Canada; Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Type (biology); Artificial intelligence; Mathematics; Biology","score_opus":0.021388486199264572,"score_gpt":0.3010333629876373,"score_spread":0.2796448767883727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112157416","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98465866,0.0000041792014,0.014262599,0.00022030275,0.00006788662,0.0002528957,0.00004214702,0.000017967499,0.00047333556],"genre_scores_gemma":[0.9928703,0.0000020839536,0.0068796487,0.00012834421,0.000010992233,0.00004597764,4.2121616e-7,0.000023663235,0.000038574228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984976,0.00026262138,0.00041731703,0.00013099685,0.00054131524,0.00015014558],"domain_scores_gemma":[0.9975655,0.0012296948,0.0004885181,0.0006217886,0.000057030873,0.000037439626],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00037673593,0.00013866465,0.00042193002,0.000013117105,0.00028506864,0.000005495086,0.0005526771,0.000025523319,0.0010124075],"category_scores_gemma":[0.00006438101,0.00008278814,0.0005052755,0.00042836776,0.00063938566,0.000038650353,0.000057072688,0.000325122,7.1605143e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046741898,0.0005829164,0.000034075307,0.000086434244,0.00030429175,1.0120382e-7,0.007619789,0.0007605841,0.0007787949,0.98932725,0.00014590843,0.00031312427],"study_design_scores_gemma":[0.0002488445,0.00015565749,0.00013160001,0.000023438812,0.00013133822,0.0000049849773,0.0058950116,0.0034642837,0.006952655,0.98289156,0.00000568572,0.00009494882],"about_ca_topic_score_codex":0.00008368023,"about_ca_topic_score_gemma":0.0000011527841,"teacher_disagreement_score":0.008211608,"about_ca_system_score_codex":0.00005460358,"about_ca_system_score_gemma":0.00004606609,"threshold_uncertainty_score":0.9999008},"labels":[],"label_agreement":null},{"id":"W3112176547","doi":"10.1016/j.jalgebra.2020.11.015","title":"On Kostant root systems of Lie superalgebras","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Subalgebra; Root (linguistics); Lie superalgebra; Pure mathematics; Decomposition; Eigenfunction; Lie algebra; Algebra over a field; Eigenvalues and eigenvectors; Affine Lie algebra; Linguistics; Current algebra; Chemistry","score_opus":0.039506880595685204,"score_gpt":0.27597376522105393,"score_spread":0.23646688462536875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112176547","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9959665,0.00052666786,0.0007308096,0.00085202407,0.0011804778,0.00014589952,0.000005985509,0.000019812196,0.00057180127],"genre_scores_gemma":[0.99869496,0.00002135597,0.00032406437,0.00020681968,0.00068459084,0.0000012045905,4.828772e-7,0.000034516008,0.000031997643],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979165,0.00009200786,0.0009393854,0.00014328033,0.0006959823,0.00021284285],"domain_scores_gemma":[0.99815804,0.00037981174,0.00072613073,0.00022520221,0.0002814701,0.00022933313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029194698,0.00019660189,0.0006591392,0.000093704795,0.00004534858,0.00004138272,0.00040588036,0.00011895583,0.00015599803],"category_scores_gemma":[0.0006181967,0.00014367634,0.0002741067,0.00020438456,0.00004321571,0.00014117557,0.000055035714,0.00036729127,0.000009538012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000251942,0.00008519843,0.00021882735,0.00014473574,0.00016292921,0.000045246376,0.000773361,0.000042862088,0.0011119995,0.9896716,0.007362849,0.00012847302],"study_design_scores_gemma":[0.0014248914,0.0016071247,0.0002831075,0.00024514142,0.000114442744,0.000083017556,0.00032871537,0.00009795686,0.0050090016,0.98993635,0.000667631,0.00020263248],"about_ca_topic_score_codex":0.0000059982235,"about_ca_topic_score_gemma":6.533437e-7,"teacher_disagreement_score":0.006695218,"about_ca_system_score_codex":0.000048588772,"about_ca_system_score_gemma":0.00012228794,"threshold_uncertainty_score":0.5858951},"labels":[],"label_agreement":null},{"id":"W3112289152","doi":"10.1112/jlms.12786","title":"Infinitesimal semi‐invariant pictures and co‐amalgamation","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Sherbrooke","funders":"Canada Research Chairs; Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke; Simons Foundation; Norges Teknisk-Naturvitenskapelige Universitet; Brandeis University","keywords":"Invariant (physics); Mathematics; Pure mathematics; Injective function; Infinitesimal; Cluster (spacecraft); Piecewise; Algebra over a field; Mathematical analysis; Computer science; Mathematical physics","score_opus":0.030927017333256746,"score_gpt":0.2987265442906916,"score_spread":0.26779952695743486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112289152","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9929941,0.00007463435,0.0034948948,0.0022408548,0.00035558472,0.00020828456,0.000003414477,0.000051878036,0.00057634735],"genre_scores_gemma":[0.9947225,0.000047990892,0.0041723973,0.00030810523,0.00036194472,0.00000389738,5.267404e-7,0.000027815737,0.00035481676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834996,0.00010442851,0.00059671386,0.000111099755,0.00060147647,0.00023633652],"domain_scores_gemma":[0.998051,0.0010086152,0.00046859425,0.00024836443,0.00011853786,0.00010490217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001056914,0.00016795391,0.00037969026,0.000034035882,0.00019511882,0.00008340803,0.0003326321,0.000156605,0.00008479978],"category_scores_gemma":[0.00090104796,0.000093450384,0.00039755835,0.00026702334,0.00013089478,0.00012252528,0.00014674272,0.0004002288,0.000010718356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004495663,0.00014564452,0.00045910422,0.00072731875,0.00028407128,0.000009384426,0.006700114,0.00006152389,0.0016604016,0.9532204,0.036224335,0.00046272544],"study_design_scores_gemma":[0.0006760154,0.00005784336,0.0012326282,0.00012058556,0.00010645482,0.00010208808,0.0004411425,0.0022782981,0.00086542807,0.99370444,0.00030218257,0.00011291564],"about_ca_topic_score_codex":8.2275983e-7,"about_ca_topic_score_gemma":1.6623031e-7,"teacher_disagreement_score":0.040483996,"about_ca_system_score_codex":0.000047393016,"about_ca_system_score_gemma":0.000051843486,"threshold_uncertainty_score":0.3810796},"labels":[],"label_agreement":null},{"id":"W3113306028","doi":"10.1007/jhep01(2022)086","title":"Miura operators, degenerate fields and the M2-M5 intersection","year":2022,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Akademie Věd České Republiky; Ministero dello Sviluppo Economico; Krembil Foundation; National Science Foundation; Government of Canada; Simons Foundation; Institut Périmètre de physique théorique; Innovation, Science and Economic Development Canada","keywords":"Physics; Degenerate energy levels; Intersection (aeronautics); Interpretation (philosophy); Theoretical physics; Algebraic number; String theory; Coulomb; Supersymmetry; Mathematical physics; Quantum mechanics; Mathematical analysis","score_opus":0.012968499132042205,"score_gpt":0.23146648554598112,"score_spread":0.21849798641393892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3113306028","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97182333,0.00028734654,0.024713483,0.00056002743,0.0023767075,0.000037712634,0.0000018363843,0.000009209237,0.0001903488],"genre_scores_gemma":[0.9983248,0.000046479592,0.0002478447,0.00034355582,0.0008448363,0.0000059271233,7.467126e-7,0.000014180366,0.00017159875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991542,0.00014371854,0.00026488845,0.00007742568,0.00026030315,0.00009944378],"domain_scores_gemma":[0.99933684,0.00014028493,0.00026801912,0.00013255741,0.000085314365,0.00003698221],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021722884,0.00009790254,0.0002254137,0.00002632478,0.0002410534,0.000043127246,0.00018230402,0.000030230023,0.000041106803],"category_scores_gemma":[0.000024173738,0.00006169157,0.00010516455,0.00010868708,0.00004394063,0.00009242933,0.00012091415,0.00026986317,1.2358714e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012694835,0.000028701312,0.0000065882227,0.000003826359,0.00008359032,0.0000053943577,0.00036902417,0.00096524955,0.000038138176,0.9952869,0.0019405404,0.0011450939],"study_design_scores_gemma":[0.0011544555,0.00015061838,0.000009149198,0.0000063015677,0.000057637157,0.00007867928,0.00017631768,0.0003352263,0.0017096982,0.9947815,0.001464419,0.000075991375],"about_ca_topic_score_codex":0.000056292844,"about_ca_topic_score_gemma":0.000004520741,"teacher_disagreement_score":0.026501501,"about_ca_system_score_codex":0.000047479032,"about_ca_system_score_gemma":0.00004378534,"threshold_uncertainty_score":0.25157094},"labels":[],"label_agreement":null},{"id":"W3118740609","doi":"10.1007/s00031-021-09639-y","title":"THE CATEGORY OF WEIGHT MODULES FOR SYMPLECTIC OSCILLATOR LIE ALGEBRAS","year":2021,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Subcategory; Symplectic geometry; Lie algebra; Symplectic group; Pure mathematics; Affine Lie algebra; Verma module; Algebra over a field; Simple module; Simple (philosophy); Current algebra","score_opus":0.025302523120682322,"score_gpt":0.27387136146016877,"score_spread":0.24856883833948645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3118740609","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84672534,0.0005910072,0.1474486,0.0010657492,0.0011097003,0.00066216325,0.00002395761,0.000087946304,0.0022855587],"genre_scores_gemma":[0.99851835,0.00008794386,0.001040029,0.000049280956,0.00011321669,0.0000615393,0.00001525108,0.00002016805,0.00009421074],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894696,0.00004665558,0.0004321426,0.00012547031,0.00024274798,0.00020599469],"domain_scores_gemma":[0.99889374,0.00046254933,0.00012031597,0.00026764153,0.00020992609,0.000045846722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023062235,0.00012743947,0.00020721894,0.000031044656,0.00025820208,0.000041003837,0.00015870972,0.000086057466,0.000039940944],"category_scores_gemma":[0.000102746344,0.0000900087,0.00015646125,0.0001537527,0.000050540246,0.00016632974,0.000012129756,0.000083187195,0.0000033642352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031551903,0.000024151199,0.0000105445715,0.00015875882,0.000051881914,2.0392255e-7,0.0014020187,0.000006092104,0.000379438,0.9952416,0.0004283165,0.002265453],"study_design_scores_gemma":[0.0006742459,0.00004594672,0.0001427361,0.000016892318,0.000056448465,0.000007285696,0.00040821216,0.0008321435,0.016763886,0.97840136,0.0025388915,0.00011192681],"about_ca_topic_score_codex":0.0000046007294,"about_ca_topic_score_gemma":0.000024533958,"teacher_disagreement_score":0.15179305,"about_ca_system_score_codex":0.00003488463,"about_ca_system_score_gemma":0.00006953802,"threshold_uncertainty_score":0.36704484},"labels":[],"label_agreement":null},{"id":"W3119359931","doi":"10.1090/conm/761/15306","title":"Lectures on split-by-nilpotent extensions","year":2021,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Nilpotent; Algebra over a field; Pure mathematics; Arithmetic; Discrete mathematics","score_opus":0.04864188451177664,"score_gpt":0.31194305152955515,"score_spread":0.2633011670177785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119359931","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0014825985,0.004100065,0.035955638,0.0014545836,0.0011618058,0.0031601994,0.0003465214,0.0019285346,0.95041007],"genre_scores_gemma":[0.025919575,0.00071451237,0.1959802,0.0037251548,0.0019398554,0.00069655565,0.00046912977,0.0047356216,0.7658194],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9941636,0.00024265664,0.0015263633,0.0013927115,0.0016555181,0.0010191625],"domain_scores_gemma":[0.9932243,0.0019008181,0.0016628257,0.0024444736,0.0001622806,0.0006052557],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0005452986,0.0015677474,0.0031315542,0.00014540215,0.00027150093,0.0002102679,0.0010984046,0.00085385726,0.0058816355],"category_scores_gemma":[0.00096695585,0.0012618825,0.0016443961,0.0006469182,0.0009895505,0.000055452343,0.00048252632,0.001288303,0.00019251696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008693734,0.000801933,0.0000013384954,0.0012062761,0.0006384921,0.000024129613,0.00060194696,4.3217938e-7,0.00005112639,0.34297752,0.653469,0.0002190649],"study_design_scores_gemma":[0.0008443848,0.00027201878,0.0000016224428,0.0024103234,0.00030132438,0.000038196922,0.001486184,0.0004729842,0.00014501021,0.86141497,0.13102755,0.001585422],"about_ca_topic_score_codex":0.000065126675,"about_ca_topic_score_gemma":0.0000038031812,"teacher_disagreement_score":0.5224415,"about_ca_system_score_codex":0.00022769536,"about_ca_system_score_gemma":0.00035129173,"threshold_uncertainty_score":0.99970704},"labels":[],"label_agreement":null},{"id":"W3125576680","doi":"","title":"ON THE DIMENSION OF H-STRATA IN QUANTUM ALGEBRAS","year":2009,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Dimension (graph theory); Pure mathematics; Quantum; Algebra over a field; Quantum mechanics; Physics","score_opus":0.034144607893150866,"score_gpt":0.28858930218118667,"score_spread":0.2544446942880358,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3125576680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99272376,0.000015004149,0.00010212942,0.00090917916,0.00011857163,0.00012999687,4.1178657e-7,0.000018755594,0.00598217],"genre_scores_gemma":[0.9994795,0.000002585179,0.00014245027,0.0002536834,0.000019812729,0.0000014900565,3.4993448e-7,0.0000048359307,0.000095317206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939835,0.0000328808,0.00018875969,0.00010129335,0.000168521,0.000110174384],"domain_scores_gemma":[0.99931484,0.00030365214,0.000053595246,0.0002907885,0.000018724946,0.000018419567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014696406,0.00007850051,0.0001336849,0.000029038454,0.000023913964,0.0000068932663,0.00014567975,0.00004915003,0.00016341965],"category_scores_gemma":[0.0001364905,0.000042679767,0.000040361054,0.00010017882,0.000018222632,0.000025743295,0.000017401706,0.0000955715,0.000005037331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017804836,0.000053495016,0.000019050725,0.0000027801668,0.0000029075643,0.0000010010003,0.000110226385,0.0000050566523,0.00035171848,0.99782157,0.0014382184,0.00017616973],"study_design_scores_gemma":[0.00020084227,0.00013276764,0.0009927559,0.000023402226,0.0000037265315,7.988889e-7,0.00007046084,0.00038043322,0.003989882,0.9941392,0.000012253625,0.00005351218],"about_ca_topic_score_codex":0.00001858494,"about_ca_topic_score_gemma":0.0000061256223,"teacher_disagreement_score":0.006755694,"about_ca_system_score_codex":0.000010727233,"about_ca_system_score_gemma":0.000013464338,"threshold_uncertainty_score":0.17893305},"labels":[],"label_agreement":null},{"id":"W3125809666","doi":"10.1007/s11005-021-01424-y","title":"Quantized enveloping superalgebra of type P","year":2021,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Lie superalgebra; Supermatrix; Centralizer and normalizer; Superalgebra; Type (biology); Quantization (signal processing); Universal enveloping algebra","score_opus":0.04973411814881791,"score_gpt":0.3092359669772684,"score_spread":0.2595018488284505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3125809666","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97502434,0.0000324895,0.022762919,0.00074873137,0.0002787221,0.0001276926,0.0000011259713,0.000038638613,0.000985362],"genre_scores_gemma":[0.9671642,0.000005766974,0.032089006,0.0005245496,0.00013527277,0.000006679161,0.0000030592264,0.000031293373,0.000040158164],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870676,0.000076416356,0.0004509198,0.00021440108,0.00030534234,0.0002461683],"domain_scores_gemma":[0.99882555,0.00056124537,0.00009271626,0.00040408963,0.000074281306,0.00004211185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014932519,0.00016119423,0.00047855364,0.000028407605,0.000028703309,0.000019684674,0.0001853156,0.000076836994,0.00018514523],"category_scores_gemma":[0.00043028512,0.00014660977,0.000115487346,0.00035333325,0.00007527686,0.0000777065,0.00010107837,0.00020409803,0.00001656712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010863958,0.00012224342,0.000139415,0.00029975674,0.000030390047,0.000016896225,0.0005678789,0.000014770354,0.009751981,0.9885891,0.0002799568,0.00017672799],"study_design_scores_gemma":[0.00045291038,0.00001296145,0.00005908705,0.0001650233,0.00002173664,0.0000054206907,0.0000696748,0.00053444435,0.015254879,0.98324335,0.000021493914,0.00015899776],"about_ca_topic_score_codex":0.00000226628,"about_ca_topic_score_gemma":5.363766e-7,"teacher_disagreement_score":0.009326087,"about_ca_system_score_codex":0.000033252483,"about_ca_system_score_gemma":0.00004428866,"threshold_uncertainty_score":0.5978573},"labels":[],"label_agreement":null},{"id":"W3126296122","doi":"10.1007/jhep02%282021%29039","title":"Fun with F24","year":2023,"lang":"en","type":"article","venue":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Fonds de recherche du Québec – Nature et technologies; National Science Foundation; Vetenskapsrådet; Office of Science; Canada Research Chairs; California Institute of Technology; High Energy Physics; U.S. Department of Energy","keywords":"Holomorphic function; Superstring theory; Dimension (graph theory); Supersymmetry; Lattice (music); Pure mathematics; Physics; Mathematics; Mathematical physics","score_opus":0.019003079877853716,"score_gpt":0.24899472053167834,"score_spread":0.22999164065382463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3126296122","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95829237,0.00003497726,0.002746584,0.00017580642,0.000408009,0.00020884536,0.000051180003,0.00018662002,0.037895627],"genre_scores_gemma":[0.9974199,0.000014975422,0.00191313,0.00002862279,0.00001710723,0.00002201677,0.0002758872,0.000007775045,0.00030060794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986497,0.000014050768,0.0004653228,0.00015342452,0.0005158543,0.00020163071],"domain_scores_gemma":[0.99895257,0.00017813111,0.00027035738,0.00031315626,0.00020081115,0.00008497564],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031975805,0.00013430095,0.00024415145,0.0002015231,0.00014064767,0.000055976634,0.00020109832,0.00008691681,0.000053768195],"category_scores_gemma":[0.00011181985,0.00010018249,0.000059720704,0.000626476,0.00033741686,0.00041796584,0.00013004194,0.000066212495,0.000010349893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006464866,0.00005568668,0.00023910243,0.00008308747,0.000030426125,8.181867e-7,0.000007703996,0.000043552307,0.00012579578,0.9934953,0.0050942497,0.00075965683],"study_design_scores_gemma":[0.0032409776,0.001266351,0.054184876,0.00038005135,0.00025466853,0.00006178886,0.000096121665,0.00018177087,0.014151444,0.8457553,0.07947749,0.00094915344],"about_ca_topic_score_codex":0.00000920268,"about_ca_topic_score_gemma":0.0000069249127,"teacher_disagreement_score":0.14773996,"about_ca_system_score_codex":0.00001621922,"about_ca_system_score_gemma":0.00006446963,"threshold_uncertainty_score":0.40853235},"labels":[],"label_agreement":null},{"id":"W3127348297","doi":"10.1142/s0219199721500267","title":"Irreducible modules over the mirror Heisenberg–Virasoro algebra","year":2021,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Verma module; Mathematics; Virasoro algebra; Irreducible element; Algebra over a field; Pure mathematics; Irreducible representation; Unitary state; Algebra representation; Cellular algebra; Weight; Lie algebra","score_opus":0.18168575351448957,"score_gpt":0.3744147572453695,"score_spread":0.19272900373087992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3127348297","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88527405,0.01264156,0.0027064828,0.010109532,0.001053987,0.0015437002,0.000044991466,0.00038011963,0.086245574],"genre_scores_gemma":[0.9544358,0.00029822317,0.043447666,0.00029762677,0.000045558725,0.00015946302,0.000028823948,0.00006309129,0.0012237241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977775,0.0003564359,0.0008829123,0.0003207121,0.0003665267,0.00029587367],"domain_scores_gemma":[0.99230087,0.0022763694,0.00032319655,0.004830956,0.00019067578,0.00007792812],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007121182,0.00028846975,0.00048251738,0.00009250815,0.0003600126,0.00013912418,0.0018362234,0.00016595639,0.0001580286],"category_scores_gemma":[0.0009851746,0.00022582461,0.0001870239,0.00058746315,0.0002868428,0.0002447626,0.0009902468,0.00053095,0.000028874367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049603277,0.0004770665,0.0002889581,0.00009334544,0.000072978546,0.000007630807,0.0028404202,0.0000028713598,0.00012758857,0.99130654,0.0044316035,0.0003460294],"study_design_scores_gemma":[0.0005846166,0.000015349566,0.0005451263,0.0001810646,0.000033150427,0.000026404128,0.0023272878,0.0026913544,0.0004306271,0.9836495,0.009242507,0.00027304847],"about_ca_topic_score_codex":0.00006361526,"about_ca_topic_score_gemma":0.00014206253,"teacher_disagreement_score":0.085021846,"about_ca_system_score_codex":0.00009012221,"about_ca_system_score_gemma":0.00027916598,"threshold_uncertainty_score":0.92088604},"labels":[],"label_agreement":null},{"id":"W3131576295","doi":"10.5539/jmr.v13n2p7","title":"Correlation Functions of Quantum Toroidal $\\mathfrak{gl}_1$ Algebra","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Cégep Garneau","funders":"","keywords":"Mathematics; Quantum; Algebra over a field; Quantum affine algebra; Toroid; Series (stratigraphy); Key (lock); Correlation; Affine transformation; Pure mathematics; Quantum mechanics; Geometry; Algebra representation; Cellular algebra; Physics","score_opus":0.12393155055802443,"score_gpt":0.3988643358576719,"score_spread":0.2749327852996475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3131576295","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94650495,0.0006540087,0.047613468,0.0004886746,0.0013201573,0.00022210454,0.0000067609985,0.000019271138,0.0031706286],"genre_scores_gemma":[0.9883505,0.000100022124,0.009734444,0.000009956458,0.00040237023,0.0000048738657,0.0000019642944,0.00004283778,0.0013530437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99608415,0.00029993715,0.0012111365,0.00016423869,0.0018755856,0.00036496262],"domain_scores_gemma":[0.99394375,0.0022121212,0.00069295097,0.00051200145,0.0024644986,0.00017467275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026972294,0.00016537495,0.00059498113,0.00031450932,0.00017820473,0.0000790513,0.00041531652,0.00019290371,0.00060855487],"category_scores_gemma":[0.003820308,0.00013419538,0.0003037136,0.00058056944,0.0001364997,0.00021610598,0.00018292673,0.0008450029,0.00002462179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004354157,0.0006373345,0.00013311385,0.0004120969,0.00018080113,0.000050131457,0.0018123739,0.0000974866,0.0021508804,0.98738337,0.0066813314,0.00041757186],"study_design_scores_gemma":[0.0007220126,0.00027882258,0.00012499426,0.00029127044,0.0000733874,0.00029284574,0.0035276904,0.003694288,0.0033279264,0.98701704,0.0005264013,0.00012334852],"about_ca_topic_score_codex":0.0000074755417,"about_ca_topic_score_gemma":0.0000045726683,"teacher_disagreement_score":0.041845564,"about_ca_system_score_codex":0.00014227563,"about_ca_system_score_gemma":0.00055873767,"threshold_uncertainty_score":0.6663249},"labels":[],"label_agreement":null},{"id":"W3131605087","doi":"10.4171/jca/71","title":"A category $\\mathcal{O}$ for oriented matroids","year":2023,"lang":"en","type":"article","venue":"Journal of Combinatorial Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Matroid; Mathematics; Class (philosophy); Graphic matroid; Hyperplane; Combinatorics; Matroid partitioning; Euclidean geometry; Algebra over a field; Oriented matroid; Pure mathematics; Discrete mathematics; Computer science","score_opus":0.033639909293681096,"score_gpt":0.3128522597208727,"score_spread":0.2792123504271916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3131605087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97001183,0.00016053572,0.0024666607,0.0008486038,0.02532709,0.0005285717,0.000010143434,0.00019028733,0.00045625554],"genre_scores_gemma":[0.9950428,0.000034605506,0.0014631543,0.000074596566,0.0029551,0.00002810524,0.000005574542,0.000083608524,0.00031246722],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973036,0.00010434565,0.0010651852,0.00022864943,0.00078172545,0.00051647646],"domain_scores_gemma":[0.9969389,0.00095292,0.00078063586,0.00036078214,0.0007196339,0.000247125],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011446868,0.0002950301,0.00074776734,0.00026601364,0.00019646222,0.00007842067,0.000552851,0.00024111607,0.00006237164],"category_scores_gemma":[0.0013016369,0.0002414589,0.0005382834,0.00066241185,0.00007084276,0.00026117577,0.00011408486,0.0003858875,0.000023774417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000382546,0.00011866462,0.000069005524,0.00008977068,0.000164407,0.000029854045,0.0003435502,0.0000052920527,0.00035271695,0.9640988,0.033841513,0.00050384144],"study_design_scores_gemma":[0.004021953,0.0007296933,0.00011658962,0.00005902676,0.00013424481,0.000058802518,0.00021105727,0.00009764862,0.0014603221,0.9789092,0.013945769,0.00025570544],"about_ca_topic_score_codex":0.000004819462,"about_ca_topic_score_gemma":5.205258e-7,"teacher_disagreement_score":0.025030935,"about_ca_system_score_codex":0.00012348378,"about_ca_system_score_gemma":0.00026046135,"threshold_uncertainty_score":0.9846408},"labels":[],"label_agreement":null},{"id":"W3132152485","doi":"10.1093/imrn/rnaa389","title":"Three-Dimensional Mirror Symmetry and Elliptic Stable Envelopes","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation of Sri Lanka; Russian Foundation for Basic Research; Associated Medical Services; Simons Foundation","keywords":"Mathematics; Equivariant map; Pure mathematics; Prime (order theory); Mirror symmetry; Supersingular elliptic curve; Cotangent bundle; Symmetry (geometry); Elliptic curve; Trigonometric functions; Combinatorics; Geometry","score_opus":0.18223916823125805,"score_gpt":0.3962496478562327,"score_spread":0.21401047962497463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3132152485","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98434794,0.00030531577,0.002206878,0.0067773457,0.00049817486,0.00049919577,0.000024757399,0.00011580266,0.005224602],"genre_scores_gemma":[0.9494197,0.000020401425,0.049636558,0.00019149364,0.00027066944,0.000034171717,0.0000060889106,0.000045544657,0.00037540568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971505,0.00006660667,0.00043858666,0.0003900287,0.0015567658,0.0003975255],"domain_scores_gemma":[0.9968862,0.0020161122,0.00013914163,0.00024034875,0.0004650679,0.00025313234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080584455,0.00020259857,0.00029878647,0.00015916335,0.00020384781,0.0002583591,0.0006377583,0.00010916272,0.00066799164],"category_scores_gemma":[0.0023608727,0.00016735352,0.000070048576,0.00024316755,0.00019562079,0.0002591626,0.0005076856,0.0004434091,0.0001230089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048432263,0.00013199779,0.00028823531,0.0002919096,0.00015760625,0.000019832729,0.0009585874,0.000009873947,0.0005229565,0.99489284,0.0022971053,0.00038061818],"study_design_scores_gemma":[0.00045278177,0.00009599193,0.00021055838,0.00011076378,0.000021483564,0.000009767323,0.00032997044,0.031797737,0.0010103543,0.96378154,0.0019789627,0.00020007876],"about_ca_topic_score_codex":0.00006684688,"about_ca_topic_score_gemma":0.00003011091,"teacher_disagreement_score":0.047429677,"about_ca_system_score_codex":0.00006390059,"about_ca_system_score_gemma":0.00009199835,"threshold_uncertainty_score":0.731404},"labels":[],"label_agreement":null},{"id":"W3134302473","doi":"10.1007/s40879-020-00439-4","title":"Homotopy limits in the category of dg-categories in terms of A<sub>∞</sub>-comodules","year":2021,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Homotopy; Mathematics; Pure mathematics","score_opus":0.029078002637579457,"score_gpt":0.2704705882733953,"score_spread":0.24139258563581587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134302473","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.992845,0.00011919673,0.00018984178,0.00019070659,0.00019449662,0.00017529618,0.0000024184292,0.000012017641,0.006271043],"genre_scores_gemma":[0.99947107,0.000055190816,0.00030270347,0.00005289279,0.000034911252,0.000018135373,0.0000029511725,0.00001406019,0.000048058195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987827,0.00011788937,0.0004752608,0.00017684385,0.0002612982,0.00018599506],"domain_scores_gemma":[0.99894863,0.0003951811,0.00013109764,0.0004400171,0.00006391111,0.000021135425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025849775,0.00013765898,0.00036524457,0.000081183134,0.000021116366,0.000014272817,0.00028060022,0.00010657244,0.000039122864],"category_scores_gemma":[0.00020192201,0.00009271902,0.00008906643,0.000342915,0.00008429407,0.000071643335,0.00006947396,0.00016412527,0.0000012980001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016300293,0.00017317066,0.0033898277,0.0001330276,0.000016941265,0.000015151539,0.002271592,0.00000824955,0.010457769,0.98236483,0.00012463072,0.0010285147],"study_design_scores_gemma":[0.00037247952,0.00003266474,0.008434695,0.000031922023,0.000010837597,0.0000067571186,0.0010223296,0.00004689814,0.20657215,0.78337383,0.000011118557,0.00008431189],"about_ca_topic_score_codex":0.00008928209,"about_ca_topic_score_gemma":0.00046319445,"teacher_disagreement_score":0.19899099,"about_ca_system_score_codex":0.00002067644,"about_ca_system_score_gemma":0.00005963118,"threshold_uncertainty_score":0.3780972},"labels":[],"label_agreement":null},{"id":"W3134579789","doi":"10.1007/jhep03(2021)089","title":"Factorization identities and algebraic Bethe ansatz for D 2 2 $$ {D}_2^{(2)} $$ models","year":2021,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trinity College","funders":"","keywords":"Bethe ansatz; Factorization; Physics; Algebraic number; Algorithm; Integrable system; Mathematical physics; Computer science; Mathematics; Mathematical analysis","score_opus":0.3651109323640988,"score_gpt":0.564773446552866,"score_spread":0.19966251418876718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134579789","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94309694,0.01366867,0.03817582,0.00016658069,0.0019212819,0.00086273265,0.0001155972,0.00007253018,0.0019198395],"genre_scores_gemma":[0.99205637,0.0052840235,0.0014732545,0.00014825024,0.00035354978,0.00006514203,0.000024991517,0.000083562496,0.0005108631],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997458,0.00018052426,0.0008363984,0.000484975,0.00062918407,0.00041095802],"domain_scores_gemma":[0.99725646,0.0007722215,0.0006688628,0.00049554073,0.00060603704,0.0002008679],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00068897754,0.00034651547,0.00082855497,0.00030452406,0.00038248842,0.0014601373,0.0011611133,0.00018931774,0.001836442],"category_scores_gemma":[0.0005777465,0.00031786526,0.00022336245,0.0004898208,0.00010340607,0.0023980332,0.00074357854,0.0002592902,0.0000012087419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002674417,0.0003584586,0.01991254,0.0009911923,0.00079979707,0.00003306326,0.0018844211,0.00040342647,0.020923277,0.9192639,0.025121184,0.010041278],"study_design_scores_gemma":[0.000713233,0.000011553103,0.0061168806,0.00021577715,0.00016008622,0.00001699542,0.00020693004,0.00045599334,0.015225309,0.97585595,0.0006504134,0.00037087974],"about_ca_topic_score_codex":0.000087115055,"about_ca_topic_score_gemma":0.000027529843,"teacher_disagreement_score":0.056592032,"about_ca_system_score_codex":0.00007137168,"about_ca_system_score_gemma":0.00016714518,"threshold_uncertainty_score":0.99992734},"labels":[],"label_agreement":null},{"id":"W3134628413","doi":"10.1016/j.jalgebra.2022.07.043","title":"On the lattices of exact and weakly exact structures","year":2022,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Hausdorff Research Institute for Mathematics; Horizon 2020; Bishop's University; IIlinois State Museum; European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lattice (music); Idempotence; Exact solutions in general relativity; Functor; Generalization; Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis; Physics","score_opus":0.0279579028990591,"score_gpt":0.2779881265195949,"score_spread":0.25003022362053584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134628413","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99744576,0.00036386977,0.00003515234,0.0007867716,0.00061064085,0.00009230924,0.0000043044324,0.000005895437,0.0006552655],"genre_scores_gemma":[0.9992745,0.000021913504,0.0002666463,0.00019063875,0.00016506485,0.0000018778832,1.823357e-7,0.000016728627,0.00006247142],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986245,0.00015685312,0.00042179806,0.000092325936,0.00057116826,0.00013336111],"domain_scores_gemma":[0.9979944,0.0009878736,0.0006736842,0.00021228593,0.000075678385,0.000056044155],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005397608,0.00012395943,0.00029890763,0.00008808706,0.00017792695,0.000031410495,0.0003559045,0.000036846774,0.0007477722],"category_scores_gemma":[0.00029862483,0.00007280555,0.00013089944,0.00011575188,0.00006156192,0.00008100605,0.000120254525,0.0004179648,3.4368622e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013394735,0.000045742607,0.00012529893,0.000023768185,0.0001265438,0.000010798417,0.000829377,0.000047871443,0.00039132987,0.99355984,0.00402337,0.00068209955],"study_design_scores_gemma":[0.00038909237,0.00053299137,0.0015941329,0.000020770973,0.000065668806,0.00011195015,0.00070945115,0.000026864662,0.0011059606,0.9946473,0.0007155048,0.00008029176],"about_ca_topic_score_codex":0.000006494335,"about_ca_topic_score_gemma":6.323234e-7,"teacher_disagreement_score":0.0033078652,"about_ca_system_score_codex":0.00003278687,"about_ca_system_score_gemma":0.000060646384,"threshold_uncertainty_score":0.8187582},"labels":[],"label_agreement":null},{"id":"W3139170722","doi":"10.3842/sigma.2021.081","title":"Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI","year":2021,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quantization (signal processing); Quantum; Hamiltonian (control theory); Mathematics; Canonical quantization; Analogy; Generalization; Mathematical physics; Pure mathematics; Quantum mechanics; Physics; Mathematical analysis; Quantum gravity","score_opus":0.057074249675526795,"score_gpt":0.37380602910494837,"score_spread":0.31673177942942154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3139170722","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39899752,0.0011483547,0.59899414,0.00023920836,0.00008118838,0.00036783586,0.00003932106,0.000053506377,0.000078969286],"genre_scores_gemma":[0.85772866,0.000102299404,0.14187074,0.000033654567,0.000049281567,0.00011566399,0.000014565497,0.000016607897,0.00006854929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99789417,0.0005273654,0.00063199055,0.0005336761,0.0001778837,0.00023493872],"domain_scores_gemma":[0.99635065,0.0023790353,0.00021751682,0.0005345899,0.00034806953,0.00017014722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017673057,0.00021921397,0.0005028231,0.00010997468,0.00046553352,0.000058126272,0.00011124495,0.00019920782,0.00002426381],"category_scores_gemma":[0.0021308798,0.00019156757,0.00009084165,0.00085834984,0.00029708247,0.00011225626,0.00018451226,0.0002301739,7.044185e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009009638,0.00018993947,0.0029612912,0.00049329107,0.000057579407,3.0965734e-7,0.0003415509,0.0000017895392,0.0025166238,0.96722066,0.0000074494164,0.026200498],"study_design_scores_gemma":[0.0007022118,0.000112072696,0.0037425135,0.00010183996,0.0002146839,0.000024532595,0.004846197,0.023272054,0.010294074,0.95590943,0.00045149526,0.00032887797],"about_ca_topic_score_codex":0.00010032269,"about_ca_topic_score_gemma":0.000020096424,"teacher_disagreement_score":0.45873114,"about_ca_system_score_codex":0.00003729311,"about_ca_system_score_gemma":0.000057706722,"threshold_uncertainty_score":0.78118986},"labels":[],"label_agreement":null},{"id":"W3142703287","doi":"10.1007/s10468-022-10165-y","title":"Superpotentials and Quiver Algebras for Semisimple Hopf Actions","year":2022,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; University of Manchester; London Mathematical Society; University of Washington","keywords":"Quiver; Mathematics; Superpotential; Quotient; Hopf algebra; Isomorphism (crystallography); Pure mathematics; Algebra over a field; Biproduct; Action (physics); Cellular algebra; Algebra representation; Functor; Supersymmetry; Mathematical physics; Physics","score_opus":0.05232910688236164,"score_gpt":0.33523138241643685,"score_spread":0.2829022755340752,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3142703287","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99127764,0.0005519077,0.005508901,0.0004695515,0.00063722156,0.000653461,0.000044201504,0.00008434822,0.0007727931],"genre_scores_gemma":[0.9970284,0.00008279997,0.00075022085,0.00024344312,0.00017162954,0.00022862853,0.000030129078,0.000034208322,0.0014305352],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987194,0.00020579089,0.00026732567,0.00036634968,0.00022369101,0.00021744886],"domain_scores_gemma":[0.9985405,0.0009277178,0.00012362239,0.00025890945,0.000057670502,0.00009157153],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004609101,0.00015433265,0.00023101916,0.000087453576,0.00081795524,0.00006827392,0.000117859665,0.0000595167,0.00060189137],"category_scores_gemma":[0.00020224917,0.000141772,0.000092896255,0.00013024878,0.00010529259,0.00015914622,0.00020732664,0.0001353161,0.000001112411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010620976,0.00003999801,0.00027876694,0.00002922606,0.00009813087,0.0000016311933,0.0012306381,0.000009436355,0.0007289312,0.99145293,0.0021156685,0.00390844],"study_design_scores_gemma":[0.00089083065,0.000093097464,0.0006088923,0.0000042047172,0.00010837752,0.000038951028,0.004171463,0.000103666825,0.0011691222,0.99015033,0.0024799276,0.0001811214],"about_ca_topic_score_codex":0.000039141305,"about_ca_topic_score_gemma":0.000003760864,"teacher_disagreement_score":0.0057507907,"about_ca_system_score_codex":0.000025846037,"about_ca_system_score_gemma":0.000031252635,"threshold_uncertainty_score":0.6590288},"labels":[],"label_agreement":null},{"id":"W3145721341","doi":"10.5070/c63160419","title":"Shelling the \\(m=1\\) amplituhedron","year":2023,"lang":"en","type":"article","venue":"Combinatorial Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Grassmannian; Partially ordered set; Mathematics; Sign (mathematics); Conjecture; Order (exchange); Discrete mathematics; Mathematical analysis","score_opus":0.05640481818225605,"score_gpt":0.32144248392801106,"score_spread":0.265037665745755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3145721341","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9382501,0.00028550485,0.0019598831,0.00076626084,0.032766968,0.0008242303,0.0000057301186,0.001473593,0.023667676],"genre_scores_gemma":[0.9968356,0.000023885244,0.00004889138,0.00010235184,0.0014440643,0.000052832005,0.000004524431,0.00005485771,0.0014330065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982334,0.00026919434,0.00031856916,0.00030375106,0.00042075722,0.000454342],"domain_scores_gemma":[0.99700403,0.0019797245,0.00011422804,0.0007361208,0.00007686693,0.0000890369],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015828469,0.00022400169,0.0002689146,0.00007653474,0.00043829868,0.000095947275,0.0006732576,0.00015006267,0.00021698941],"category_scores_gemma":[0.0008270536,0.00014996018,0.00017330988,0.00055004616,0.00014871101,0.00008854,0.00023684299,0.0003192645,0.00021134043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056105917,0.000023631079,0.000023583667,0.000015322428,0.000039994873,0.0000055726096,0.00051525125,0.000007652995,0.00006114649,0.99300724,0.0050697965,0.0011746951],"study_design_scores_gemma":[0.0006184145,0.000045405915,0.000053921558,0.00001874476,0.000036023906,0.000003537052,0.00029200586,0.00006858012,0.000511538,0.9891084,0.009045332,0.00019813635],"about_ca_topic_score_codex":0.000005783561,"about_ca_topic_score_gemma":4.1563132e-7,"teacher_disagreement_score":0.058585435,"about_ca_system_score_codex":0.00005161421,"about_ca_system_score_gemma":0.000051487626,"threshold_uncertainty_score":0.6115199},"labels":[],"label_agreement":null},{"id":"W3153704187","doi":"10.1007/s00029-024-00921-x","title":"Whittaker vectors for $$\\mathcal {W}$$-algebras from topological recursion","year":2024,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Humboldt-Universität zu Berlin","keywords":"Recursion (computer science); Mathematics; Pure mathematics; Topology (electrical circuits); Algebra over a field; Combinatorics; Algorithm","score_opus":0.0524721205401527,"score_gpt":0.3375725922748495,"score_spread":0.28510047173469677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3153704187","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9513995,0.00094397116,0.035434518,0.0016676451,0.002657812,0.0013074761,0.000067447494,0.0011427312,0.005378887],"genre_scores_gemma":[0.9767586,0.000014823671,0.020958323,0.00010450952,0.0007831348,0.00010350989,0.000022547572,0.00009854424,0.0011559849],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979306,0.000068199435,0.00052457245,0.00058056525,0.00038396206,0.0005120869],"domain_scores_gemma":[0.99732745,0.0018764283,0.00008489802,0.00047502184,0.00008634469,0.00014984793],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00031650602,0.00034742514,0.0005230294,0.00009353935,0.0001701639,0.00019741016,0.0003657529,0.0003053435,0.0012732826],"category_scores_gemma":[0.0008134997,0.0002559264,0.0003051793,0.0002956544,0.00008168233,0.00014053969,0.00009244254,0.00030480715,0.00012839051],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003910754,0.000083117826,0.0000072119474,0.00026558305,0.000121385405,0.000008313704,0.00093923934,4.0978512e-7,0.00042213715,0.9845624,0.012636975,0.0009141219],"study_design_scores_gemma":[0.00029470847,0.00017582435,0.000013866482,0.00020783812,0.00013622818,0.00001679073,0.000106692016,0.0024773267,0.002205433,0.988734,0.005302562,0.0003286981],"about_ca_topic_score_codex":0.000011165692,"about_ca_topic_score_gemma":0.00000428772,"teacher_disagreement_score":0.025359113,"about_ca_system_score_codex":0.000096533775,"about_ca_system_score_gemma":0.00009279875,"threshold_uncertainty_score":0.9999893},"labels":[],"label_agreement":null},{"id":"W3154464233","doi":"10.4171/dm/896","title":"Categorification of the elliptic Hall algebra","year":2022,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Central charge; Categorification; Algebra over a field; TRACE (psycholinguistics); Extension (predicate logic); Pure mathematics; Geometry","score_opus":0.028151004813293735,"score_gpt":0.280297353914796,"score_spread":0.25214634910150224,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3154464233","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9874833,0.0001067782,0.0008632573,0.0009377368,0.00091752893,0.00084768946,0.00001096681,0.0000794066,0.00875329],"genre_scores_gemma":[0.9973557,0.0000032100818,0.000985217,0.00008230999,0.000042623364,0.00014121775,0.0000031299849,0.000028807686,0.0013577616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984491,0.00012728828,0.00044069134,0.00019484096,0.0005927841,0.00019527902],"domain_scores_gemma":[0.998605,0.00021040016,0.00032685592,0.0007817971,0.00003686843,0.00003904022],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003589712,0.0001436839,0.00024316023,0.00004244554,0.00028273131,0.000023966459,0.000670315,0.000032820546,0.0018008433],"category_scores_gemma":[0.000100548896,0.00010208914,0.00015033409,0.0002528092,0.00006514411,0.00007592814,0.00034538753,0.0001827719,0.000013198488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007791257,0.00012531658,0.000042198968,0.00008105683,0.000039066726,4.380656e-7,0.0012988283,0.000008503369,0.0005905655,0.99606067,0.0016348315,0.00011072415],"study_design_scores_gemma":[0.00027670086,0.000041058942,0.000046178262,0.000012479842,0.00006691097,0.000015930918,0.00069297943,0.00016717425,0.004416946,0.9930616,0.0010877853,0.00011423802],"about_ca_topic_score_codex":0.0000183772,"about_ca_topic_score_gemma":0.0000011051976,"teacher_disagreement_score":0.009872377,"about_ca_system_score_codex":0.000098110075,"about_ca_system_score_gemma":0.000047025092,"threshold_uncertainty_score":0.99911165},"labels":[],"label_agreement":null},{"id":"W3155137496","doi":"10.4153/s0008439521000230","title":"Uniconnected solutions to the Yang–Baxter equation arising from self-maps of groups","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Degenerate energy levels; Pure mathematics; Yang–Baxter equation; Group (periodic table); Set (abstract data type); Algebra over a field; Quantum; Quantum mechanics","score_opus":0.03633027413075366,"score_gpt":0.2454765778805506,"score_spread":0.20914630374979695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3155137496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8589762,0.00031082353,0.07455182,0.049489282,0.0011054449,0.0012390565,0.00035175285,0.00021834235,0.013757292],"genre_scores_gemma":[0.985417,0.000002741032,0.013000397,0.00093533075,0.0002187788,0.00003406944,0.000042964362,0.00003749533,0.00031122414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998441,0.00014791374,0.00044683352,0.00026784686,0.00028786052,0.00040854566],"domain_scores_gemma":[0.9976863,0.001018286,0.00010028521,0.0006442366,0.00020577307,0.00034510062],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00031702747,0.00017338342,0.00032263284,0.00007135926,0.00021989825,0.00007120195,0.00030104152,0.0001458348,0.0057050074],"category_scores_gemma":[0.001796618,0.0001370856,0.00012222012,0.00028366444,0.000045594392,0.000024397537,0.00009560235,0.00020125827,0.0007480439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030897882,0.000041888077,0.000008078503,0.00003577954,0.00006239644,0.00001026389,0.0012722414,0.000014970011,0.00008791709,0.9819298,0.016355677,0.00017792077],"study_design_scores_gemma":[0.00023151602,0.000019454636,0.00005226752,0.00010246368,0.000091023656,0.000008886702,0.0005018561,0.0005504472,0.0003679451,0.9791616,0.018740712,0.0001717818],"about_ca_topic_score_codex":0.001006238,"about_ca_topic_score_gemma":0.0029128613,"teacher_disagreement_score":0.12644081,"about_ca_system_score_codex":0.00016963526,"about_ca_system_score_gemma":0.00030416445,"threshold_uncertainty_score":0.9952039},"labels":[],"label_agreement":null},{"id":"W3155975329","doi":"10.1093/imrn/rnab049","title":"Left Demazure–Lusztig Operators on Equivariant (Quantum) Cohomology and K-Theory","year":2021,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Equivariant map; Generalized flag variety; Flag (linear algebra); Equivariant cohomology; Pure mathematics; Schubert calculus; Quantum cohomology; Cohomology; Algebra over a field; Lie group; Grassmannian","score_opus":0.13374655056096876,"score_gpt":0.4287045451670813,"score_spread":0.2949579946061125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3155975329","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96735054,0.0002918424,0.002889377,0.002942055,0.001525738,0.0003839799,0.000024983368,0.00009034682,0.02450115],"genre_scores_gemma":[0.99076146,0.00008329829,0.006210066,0.00019538797,0.0003417231,0.000028192091,0.000009343119,0.000051018324,0.0023195294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968105,0.00042215854,0.0005034049,0.00048726573,0.001295355,0.00048133192],"domain_scores_gemma":[0.99336296,0.0050142575,0.00013992832,0.0005046184,0.0007978707,0.00018038429],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020184922,0.00023507969,0.00037232638,0.00024718948,0.00026943593,0.00032525358,0.00063030014,0.00018462044,0.0012430197],"category_scores_gemma":[0.0061514424,0.0001946826,0.00009090597,0.00017254156,0.0002896528,0.00017247217,0.0005559583,0.0005748706,0.00009196705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050304567,0.00027765156,0.00008099199,0.0001305543,0.00020312377,0.00013814565,0.0011223879,0.000019158038,0.0005745291,0.9961674,0.0009054885,0.00033023886],"study_design_scores_gemma":[0.0005329364,0.000121650424,0.000111519315,0.00017982637,0.000025396448,0.00010655206,0.00090115506,0.0032927536,0.0034109894,0.98976815,0.0013454698,0.00020361501],"about_ca_topic_score_codex":0.000012635824,"about_ca_topic_score_gemma":0.00001937282,"teacher_disagreement_score":0.023410914,"about_ca_system_score_codex":0.00011988079,"about_ca_system_score_gemma":0.00019709107,"threshold_uncertainty_score":0.99966997},"labels":[],"label_agreement":null},{"id":"W3157427598","doi":"","title":"Integrable Kondo problems","year":2021,"lang":"en","type":"article","venue":"Oxford University Research Archive (ORA) (University of Oxford)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Integrable system; Affine transformation; Kondo effect; Physics; Theoretical physics; Kondo model; Impurity; Flow (mathematics); Mathematical physics; Pure mathematics; Mathematics; Quantum mechanics; Mechanics","score_opus":0.04588282578858591,"score_gpt":0.2747925538407375,"score_spread":0.22890972805215157,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3157427598","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7219689,0.00014231281,0.027500195,0.0016876359,0.00033662157,0.0008597391,0.00020920388,0.00020968406,0.24708575],"genre_scores_gemma":[0.9313317,0.0013277592,0.025387106,0.000029060846,0.00010045904,4.206291e-7,0.00010100697,0.000057931557,0.04166457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966816,0.00059036905,0.00019649381,0.0006748268,0.0009899086,0.0008668085],"domain_scores_gemma":[0.99692345,0.00079669704,0.00017604492,0.0008577697,0.0008459754,0.00040004725],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00066869205,0.00026761173,0.0005463263,0.000559337,0.0010088916,0.00004794563,0.0013888079,0.00019994906,0.001119449],"category_scores_gemma":[0.00027663217,0.00033086736,0.00036219732,0.0012891204,0.0007914158,0.0005122715,0.0015810454,0.0009791245,0.000013518217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047156092,0.0003608878,0.0019969088,0.00029038257,0.00029236003,0.0005098007,0.0031908818,0.000040217532,0.0011576586,0.9759443,0.0129566025,0.0027884413],"study_design_scores_gemma":[0.0020652716,0.0003214419,0.00081720686,0.00016845773,0.000076704506,0.000025717285,0.016974624,0.0005999982,0.00039688416,0.6940255,0.28416175,0.00036644578],"about_ca_topic_score_codex":0.00054380106,"about_ca_topic_score_gemma":0.0014735716,"teacher_disagreement_score":0.2819188,"about_ca_system_score_codex":0.0002801952,"about_ca_system_score_gemma":0.0006864617,"threshold_uncertainty_score":0.99991435},"labels":[],"label_agreement":null},{"id":"W3160613071","doi":"10.4171/qt/147","title":"Embedding Deligne's category $\\mathrm{\\underline{Re}p}(S_t)$ in the Heisenberg category (with an appendix by Samuel Nyobe Likeng, Alistair Savage and Christopher Ryba)","year":2021,"lang":"en","type":"article","venue":"Quantum Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Embedding; Mathematics; Pure mathematics; Algebra over a field; Computer science; Artificial intelligence","score_opus":0.030860220305696264,"score_gpt":0.3129091634716812,"score_spread":0.28204894316598494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3160613071","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9890455,0.002788455,0.0032786683,0.0014046873,0.0006637053,0.00038116606,0.000017369412,0.00010978123,0.002310674],"genre_scores_gemma":[0.9972236,0.0001894173,0.0006919709,0.0010780296,0.0002357594,0.00005569346,0.00008208547,0.00007781411,0.00036563675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99713475,0.0005292062,0.0005628753,0.0007310522,0.00034724004,0.0006948923],"domain_scores_gemma":[0.99809307,0.0005701978,0.0002201781,0.00085575564,0.000104473795,0.00015633409],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00048202302,0.000438921,0.000654598,0.000090471636,0.00030835043,0.00011174736,0.0004616684,0.00037558595,0.00037428795],"category_scores_gemma":[0.00013350857,0.00032113364,0.00009098175,0.00025086204,0.00035947433,0.00019147653,0.0001604861,0.0005631307,0.000015585529],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000105286854,0.00023939865,0.00048220519,0.00010532406,0.000075052274,0.000301426,0.003913011,0.000013977009,0.0002799647,0.9867497,0.0073921448,0.00034248078],"study_design_scores_gemma":[0.00149906,0.0004923904,0.00025268932,0.000031204458,0.00011009686,0.00036589528,0.012560872,0.0018041311,0.0005506208,0.97677433,0.004997772,0.00056092616],"about_ca_topic_score_codex":0.0011934391,"about_ca_topic_score_gemma":0.0015896563,"teacher_disagreement_score":0.009975388,"about_ca_system_score_codex":0.00008607163,"about_ca_system_score_gemma":0.00018729648,"threshold_uncertainty_score":0.99992406},"labels":[],"label_agreement":null},{"id":"W3166630089","doi":"10.1515/crelle-2021-0025","title":"Extending meromorphic connections to coadmissible 𝒟-modules","year":2021,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Engineering and Physical Sciences Research Council","keywords":"Meromorphic function; Connection (principal bundle); Unit disk; Stress (linguistics); Mathematics; Variety (cybernetics); Pure mathematics; Unit (ring theory); Integrable system; Discrete mathematics; Algebra over a field; Computer science; Geometry; Speech recognition; Mathematics education","score_opus":0.04894428753723948,"score_gpt":0.3523977122911683,"score_spread":0.3034534247539288,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3166630089","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8485244,0.03028435,0.08990116,0.013442047,0.007127337,0.00070844946,0.000035101675,0.00031524984,0.009661912],"genre_scores_gemma":[0.91254514,0.009959643,0.059714377,0.0007066434,0.00508905,0.000030471458,0.0000089739615,0.00034713393,0.011598537],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957805,0.00032235257,0.0014658861,0.00045873356,0.0010973063,0.00087516505],"domain_scores_gemma":[0.9956334,0.0007731011,0.0009372652,0.00062245893,0.0009392801,0.001094482],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001321098,0.00057968433,0.0010651477,0.00046767705,0.0016294689,0.0010328077,0.00063626614,0.00023922749,0.0015076934],"category_scores_gemma":[0.0021345397,0.0004582121,0.00070006435,0.00062978646,0.00007316816,0.00046665332,0.0002714745,0.0013869236,0.00007485659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024245387,0.0010032677,0.00013407278,0.00057464285,0.0024479432,0.0042082607,0.004130354,0.00061185774,0.018056992,0.90145,0.059121408,0.008018776],"study_design_scores_gemma":[0.0015022266,0.00027783486,0.000035445835,0.0011588231,0.00045002822,0.01231431,0.0014680078,0.00015262503,0.014004673,0.9301079,0.037903428,0.00062471296],"about_ca_topic_score_codex":0.000006835523,"about_ca_topic_score_gemma":0.000020862932,"teacher_disagreement_score":0.064020775,"about_ca_system_score_codex":0.0003248079,"about_ca_system_score_gemma":0.00037237062,"threshold_uncertainty_score":0.999787},"labels":[],"label_agreement":null},{"id":"W3169644112","doi":"10.1090/jams/1023","title":"Minimal nondegenerate extensions","year":2023,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; American Institute of Mathematics; Simons Foundation","keywords":"Mathematics; Pure mathematics","score_opus":0.038937992045675295,"score_gpt":0.31837932623236476,"score_spread":0.2794413341866895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3169644112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9943513,0.000019012608,0.0017901467,0.002846927,0.0004661243,0.000102894,0.0000021982437,0.000045346635,0.00037603205],"genre_scores_gemma":[0.9812606,0.000034466026,0.016923854,0.00060415105,0.00046982418,0.000003713979,1.5127824e-7,0.00003511818,0.0006681473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832046,0.00009667073,0.0005638178,0.00011412803,0.0006118729,0.00029307936],"domain_scores_gemma":[0.99784887,0.0007379039,0.0007613483,0.00035947474,0.00016308828,0.00012929592],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067765516,0.000155972,0.0005025771,0.000027855041,0.00018989075,0.000037489695,0.0005338711,0.000048096623,0.00007209099],"category_scores_gemma":[0.0007148505,0.000084617626,0.00083334715,0.0006575095,0.00029807567,0.00006308078,0.00020690472,0.00035018547,0.000029882845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059873888,0.00024226475,0.00023338158,0.00011628854,0.00050948176,0.000021221846,0.0029124357,0.00008344957,0.0047881803,0.79712725,0.19240355,0.0015026416],"study_design_scores_gemma":[0.00026234632,0.000093009374,0.000848698,0.00005644065,0.000104637154,0.000085354484,0.00097033853,0.0011780307,0.0006387502,0.9952199,0.00042579032,0.00011672281],"about_ca_topic_score_codex":0.0000017653286,"about_ca_topic_score_gemma":1.9245614e-7,"teacher_disagreement_score":0.19809265,"about_ca_system_score_codex":0.000056497796,"about_ca_system_score_gemma":0.000083229526,"threshold_uncertainty_score":0.34506065},"labels":[],"label_agreement":null},{"id":"W3169824355","doi":"10.4171/jca/69","title":"Computing fusion products of MV cycles using the Mirković–Vybornov isomorphism","year":2023,"lang":"en","type":"article","venue":"Journal of Combinatorial Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Grassmannian; Isomorphism (crystallography); Fusion; Product (mathematics); Mathematics; Ring (chemistry); Pure mathematics; Cluster (spacecraft); Basis (linear algebra); Combinatorics; Algebra over a field; Computer science; Geometry; Chemistry; Crystallography","score_opus":0.05130533489393385,"score_gpt":0.3148195055257421,"score_spread":0.26351417063180826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3169824355","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9849319,0.00025664546,0.000287988,0.00076716515,0.013280378,0.0003036312,0.0000028682025,0.00005622989,0.000113199945],"genre_scores_gemma":[0.99633956,0.00003700311,0.0010922125,0.000039307153,0.0024039312,0.0000011396638,0.0000013312033,0.000054517302,0.000030995638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966868,0.00026621102,0.001284072,0.00022705094,0.0011200057,0.0004158174],"domain_scores_gemma":[0.9960633,0.00086987857,0.0016166925,0.0004879654,0.000843759,0.00011841518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016643465,0.00029191075,0.0007650758,0.00026287007,0.00030720737,0.0000720685,0.000789013,0.00018434454,0.00002573802],"category_scores_gemma":[0.0012211924,0.00019711362,0.00031924364,0.0010153346,0.00016926188,0.00022399702,0.0003022162,0.0005543072,0.000004454525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002373528,0.0002220433,0.00048197308,0.00018511964,0.00023963474,0.0000474953,0.0017694004,0.00014090155,0.011761101,0.9786254,0.0052528973,0.0010366907],"study_design_scores_gemma":[0.0018742784,0.0002935732,0.00094090245,0.0002524502,0.00016993361,0.000112233836,0.00045126246,0.0005221705,0.009990243,0.9846069,0.000556532,0.00022949654],"about_ca_topic_score_codex":0.000024541854,"about_ca_topic_score_gemma":5.424713e-7,"teacher_disagreement_score":0.011407669,"about_ca_system_score_codex":0.000095759875,"about_ca_system_score_gemma":0.00030823654,"threshold_uncertainty_score":0.803806},"labels":[],"label_agreement":null},{"id":"W3176265087","doi":"10.1017/fmp.2023.10","title":"On the Torelli Lie algebra","year":2023,"lang":"en","type":"preprint","venue":"Forum of Mathematics Pi","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Homomorphism; Kernel (algebra); Pure mathematics; Lie algebra; Genus; Algebra over a field; Surface (topology); Combinatorics; Geometry; Botany","score_opus":0.0737765212792888,"score_gpt":0.3058020526956268,"score_spread":0.23202553141633803,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3176265087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94866425,0.00032440736,0.014488296,0.008182334,0.008765277,0.0037661707,0.00022716649,0.00090139813,0.014680704],"genre_scores_gemma":[0.9865671,0.00007248515,0.008774791,0.0002575939,0.00038175352,0.00023229877,0.000022860397,0.00027289055,0.0034182388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99715775,0.000072417184,0.00094234967,0.0004400638,0.00092465297,0.00046277643],"domain_scores_gemma":[0.9940334,0.002876915,0.0008989403,0.001952294,0.00015112215,0.00008734463],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00069896935,0.0005151341,0.0008940011,0.00012885556,0.00013764514,0.00007759883,0.0013457763,0.0005061744,0.000303407],"category_scores_gemma":[0.0010969321,0.00033381977,0.000524195,0.00016336636,0.00013882916,0.000026373074,0.0012601838,0.0008426641,0.00016831607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000081802,0.0001585132,0.0000040813143,0.0009340178,0.00020199425,0.0000032153694,0.0011085162,0.000050965074,0.000007752138,0.9392938,0.05816401,0.00006493067],"study_design_scores_gemma":[0.00019273582,0.00009519974,0.0000049742002,0.0007117957,0.00013709864,0.000002552205,0.00077526964,0.0009850076,0.0007130495,0.9958141,0.00024069648,0.00032756152],"about_ca_topic_score_codex":0.000028636969,"about_ca_topic_score_gemma":0.000010951511,"teacher_disagreement_score":0.057923317,"about_ca_system_score_codex":0.00007212464,"about_ca_system_score_gemma":0.00011978856,"threshold_uncertainty_score":0.99991137},"labels":[],"label_agreement":null},{"id":"W3179159783","doi":"10.4310/cntp.2023.v17.n2.a1","title":"KP hierarchy for Hurwitz-type cohomological field theories","year":2023,"lang":"en","type":"article","venue":"Communications in Number Theory and Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Max-Planck-Gesellschaft; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Pure mathematics; Hierarchy; Type (biology); Field (mathematics); Recursion (computer science); Hypergeometric distribution; Algebra over a field","score_opus":0.07803893334042245,"score_gpt":0.39031323901854037,"score_spread":0.3122743056781179,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3179159783","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.928068,0.00061019434,0.021736575,0.0035400235,0.0012611448,0.0016576933,0.00016587098,0.0006334044,0.0423271],"genre_scores_gemma":[0.99585533,0.00018659169,0.0029179873,0.0001887469,0.00008587108,0.0001227786,0.000059750557,0.000015814747,0.0005671353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992201,0.00025473576,0.00017117093,0.00013265095,0.00006334477,0.00015799992],"domain_scores_gemma":[0.991582,0.0074683414,0.000052477833,0.00081181654,0.000055874727,0.000029525429],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005271476,0.000103544204,0.00017988279,0.000015061482,0.00024681835,0.000027631513,0.00045571677,0.00008957692,0.0000887738],"category_scores_gemma":[0.0007443244,0.000088973786,0.00004879331,0.00027463277,0.00019863126,0.00006514778,0.00031364016,0.0002004541,0.000012876469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000070202834,0.00004601156,0.00035073943,0.000022309623,0.000019427056,3.0595734e-7,0.0010083899,0.0000018522845,0.0000069447706,0.99197316,0.0015844258,0.004916214],"study_design_scores_gemma":[0.00023897139,0.00003703791,0.00010881528,0.000024134777,0.000015024257,0.0000017504722,0.00026786161,0.00020480146,0.000083177336,0.994757,0.004150122,0.000111302135],"about_ca_topic_score_codex":0.00000337651,"about_ca_topic_score_gemma":0.0000038022843,"teacher_disagreement_score":0.06778733,"about_ca_system_score_codex":0.000010729924,"about_ca_system_score_gemma":0.00002134526,"threshold_uncertainty_score":0.36282456},"labels":[],"label_agreement":null},{"id":"W3182450034","doi":"10.1007/s00023-022-01189-7","title":"BPS Algebras in 2D String Theory","year":2022,"lang":"lv","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Division of Physics","keywords":"Algorithm; Physics; Computer science","score_opus":0.026146217345045658,"score_gpt":0.27303902776515643,"score_spread":0.24689281042011077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3182450034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98378056,0.0070092785,0.0001342695,0.00061520573,0.0024069736,0.00065081014,0.00007440258,0.0001251547,0.005203339],"genre_scores_gemma":[0.9951075,0.00019718453,0.00017937076,0.0007314524,0.000553913,0.000111113426,0.000029453902,0.00012692872,0.0029631148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954401,0.0009086839,0.0009407476,0.0007673788,0.0009507772,0.0009923009],"domain_scores_gemma":[0.9975251,0.0008465262,0.00037134398,0.00096871203,0.00008109827,0.00020720933],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014747193,0.00054814614,0.0007699324,0.00035009885,0.0006334323,0.000111492634,0.000989117,0.00021076425,0.002992754],"category_scores_gemma":[0.0002709996,0.0005945304,0.00034648392,0.0007145037,0.00013889691,0.00020483659,0.0012021312,0.0012996781,0.00010074405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022696538,0.0002979593,0.0012939058,0.00017431482,0.0001639947,0.00019153337,0.0061146244,0.00025140875,0.000053194035,0.98379105,0.0031962441,0.0042448263],"study_design_scores_gemma":[0.0014341159,0.00029782427,0.0014287236,0.0001020091,0.00010633674,0.00006438746,0.0046305237,0.00034458173,0.00017529563,0.979872,0.010882381,0.0006618386],"about_ca_topic_score_codex":0.00017493003,"about_ca_topic_score_gemma":0.000052200856,"teacher_disagreement_score":0.011326903,"about_ca_system_score_codex":0.00037129954,"about_ca_system_score_gemma":0.00034339304,"threshold_uncertainty_score":0.9996506},"labels":[],"label_agreement":null},{"id":"W3184402078","doi":"10.48550/arxiv.2107.10734","title":"Strong shift equivalence as a category notion","year":2021,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Future Earth","funders":"","keywords":"Equivalence (formal languages); Mathematics; Pure mathematics","score_opus":0.094801955466526,"score_gpt":0.2212576659684188,"score_spread":0.1264557105018928,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3184402078","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89054626,0.00027232768,0.09390853,0.000097970966,0.00404241,0.00078609266,0.00002076064,0.00018734195,0.0101382835],"genre_scores_gemma":[0.9947635,0.0006765967,0.0001936095,0.00007105951,0.0004804254,0.0000030104775,0.00005358239,0.00011025029,0.0036479505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99493784,0.0004997169,0.00074113783,0.0024088845,0.0003717479,0.0010406584],"domain_scores_gemma":[0.9952566,0.00041451986,0.00093907025,0.0023882764,0.0004762844,0.0005252501],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00043396818,0.0010584077,0.0011950496,0.00028933442,0.0005471614,0.0003425216,0.0017530136,0.001267625,0.0021960246],"category_scores_gemma":[0.00026024762,0.0013310555,0.00093640864,0.0007921334,0.00037947885,0.0006107154,0.0027517197,0.0018432674,0.00027481778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018588925,0.0003108121,0.00038413462,0.0006618,0.00048480235,0.0007911853,0.0018494071,0.035339255,0.00003693218,0.9596419,0.000051312974,0.00026260706],"study_design_scores_gemma":[0.0014166945,0.00019667922,0.0005980586,0.0006239312,0.0010038995,0.000021555907,0.0029326489,0.029012121,0.00030196883,0.96240985,0.00011326476,0.0013693523],"about_ca_topic_score_codex":0.00090519973,"about_ca_topic_score_gemma":0.00011725254,"teacher_disagreement_score":0.10421724,"about_ca_system_score_codex":0.00084215606,"about_ca_system_score_gemma":0.0010823499,"threshold_uncertainty_score":0.9989139},"labels":[],"label_agreement":null},{"id":"W3185277598","doi":"10.1016/j.geomphys.2021.104337","title":"Functor of Points and Height Functions for Noncommutative Arakelov Geometry","year":2020,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Noncommutative geometry; Mathematics; Functor; Noncommutative algebraic geometry; Rank (graph theory); Pure mathematics; Interpretation (philosophy); Hermitian matrix; Function (biology); Noncommutative quantum field theory; Algebra over a field; Combinatorics","score_opus":0.11582980844423497,"score_gpt":0.2108715019636354,"score_spread":0.09504169351940044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3185277598","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92509437,0.000030236119,0.073516816,0.00015889865,0.00014585609,0.00021788292,0.00003315112,0.00004137416,0.0007614048],"genre_scores_gemma":[0.998655,0.000009277423,0.0008442665,0.00009409413,0.000065009604,7.0816117e-7,0.0000042899155,0.0000143880525,0.00031294549],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939716,0.00003150327,0.00012967194,0.00025607154,0.00004470725,0.0001408862],"domain_scores_gemma":[0.9991239,0.00036608285,0.000116797506,0.00017286102,0.00010509313,0.000115297094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00006076421,0.00012160096,0.00023086407,0.000055325978,0.00009454494,0.000008689541,0.00014481615,0.00007395685,0.00008387139],"category_scores_gemma":[0.00015426919,0.00012055887,0.00009711624,0.0002986943,0.00008176946,0.00011339377,0.0000893622,0.00007394903,0.000005302236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019939024,0.00004063945,0.0012262559,0.00008876729,0.000115346236,0.000005317824,0.0004994685,0.00009714567,0.000056346966,0.9968134,0.00075915456,0.0000987396],"study_design_scores_gemma":[0.001514877,0.000306906,0.00062753225,0.000016843504,0.00015559928,0.000001393444,0.0009366237,0.006253735,0.0004429033,0.9888735,0.00068517646,0.0001849217],"about_ca_topic_score_codex":0.000008020363,"about_ca_topic_score_gemma":0.0000034886816,"teacher_disagreement_score":0.07356064,"about_ca_system_score_codex":0.000024479134,"about_ca_system_score_gemma":0.000029961651,"threshold_uncertainty_score":0.4916248},"labels":[],"label_agreement":null},{"id":"W3185694118","doi":"10.1007/s10485-023-09720-5","title":"Inner Automorphisms of Presheaves of Groups","year":2023,"lang":"en","type":"article","venue":"Applied Categorical Structures","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Automorphism; Mathematics; Functor; Morphism; Pure mathematics; Group (periodic table); Outer automorphism group; Automorphisms of the symmetric and alternating groups; Inner automorphism; Automorphism group; Physics","score_opus":0.0363705419649982,"score_gpt":0.2883473891418996,"score_spread":0.2519768471769014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3185694118","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9930874,0.000059607366,0.0022246805,0.00008325949,0.00057500514,0.0003632083,0.000007723844,0.00022127651,0.003377839],"genre_scores_gemma":[0.99900913,0.000010962954,0.00064474536,0.000023568182,0.00015686062,0.000027156239,0.000013145606,0.000035824665,0.00007860951],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983506,0.000029044979,0.00053290196,0.00028464466,0.0004907715,0.0003120071],"domain_scores_gemma":[0.99879676,0.00035380025,0.0002584689,0.0004311576,0.00007205931,0.00008773172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013814554,0.00021875167,0.0005291289,0.00012539171,0.000060004706,0.000010870406,0.00038833215,0.00020224054,0.00018711403],"category_scores_gemma":[0.00010512962,0.00016582348,0.00013123102,0.00060707575,0.00016889985,0.00003389607,0.00017220233,0.00018198631,0.000006506783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004174733,0.000023259272,0.00009427831,0.00011402923,0.00006514301,0.0000022184804,0.00038304573,0.00007157354,0.0049840873,0.989456,0.0032586367,0.0015060017],"study_design_scores_gemma":[0.00044580828,0.000056730532,0.0033199955,0.0000019536985,0.00004418538,0.0000029771581,0.00011362392,0.00006356021,0.020702094,0.9748799,0.00021655235,0.00015259863],"about_ca_topic_score_codex":0.00003229348,"about_ca_topic_score_gemma":0.0000016848123,"teacher_disagreement_score":0.015718007,"about_ca_system_score_codex":0.000025040972,"about_ca_system_score_gemma":0.000037773705,"threshold_uncertainty_score":0.67620856},"labels":[],"label_agreement":null},{"id":"W3186248305","doi":"10.70930/tac/d4hcf5zx","title":"On the ternary commutator, I:Exact Mal'tsev categories","year":2021,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Commutator; Ternary operation; Mathematics; Computer science; Pure mathematics; Algebra over a field; Programming language","score_opus":0.015899168499683987,"score_gpt":0.2714179106593534,"score_spread":0.2555187421596694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3186248305","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9625248,0.0013290907,0.01735792,0.0014879057,0.00018830308,0.0004998708,0.000029603258,0.00010070838,0.016481848],"genre_scores_gemma":[0.9984332,0.00007738365,0.00015714165,0.00016770649,0.00009600784,0.0001355894,0.000009719071,0.000018166485,0.00090511894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991342,0.00016010922,0.00023286323,0.00017864839,0.00015622187,0.00013796639],"domain_scores_gemma":[0.99729526,0.0017991835,0.0001244888,0.0006197453,0.000119578166,0.00004175436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036251883,0.00014666845,0.00021314518,0.00002724846,0.0003179658,0.000045974786,0.00025584566,0.00006664945,0.00018807617],"category_scores_gemma":[0.00016678829,0.0000992745,0.0000612164,0.00017452962,0.00038005668,0.00006213342,0.00010902167,0.00015379609,0.0000063981124],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049129616,0.000057824887,0.000043505675,0.00004192009,0.000048543377,0.0000010034845,0.00088058977,0.0000023144557,0.00013042123,0.9969911,0.0003832747,0.0013704012],"study_design_scores_gemma":[0.00014166263,0.000030435518,0.00010822806,0.000011016322,0.00003790061,0.00001407195,0.0024957212,0.00000441241,0.012541914,0.98143876,0.0030646762,0.00011120706],"about_ca_topic_score_codex":0.000008936921,"about_ca_topic_score_gemma":0.0000031586858,"teacher_disagreement_score":0.035908416,"about_ca_system_score_codex":0.0000107471005,"about_ca_system_score_gemma":0.000057654957,"threshold_uncertainty_score":0.40482965},"labels":[],"label_agreement":null},{"id":"W3186423259","doi":"10.70930/tac/975tnnjc","title":"Finite symmetries of quantum character stacks","year":2023,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"European Commission","keywords":"Mathematics; Moduli space; Pure mathematics; Homology (biology); Factorization; Homogeneous space; Finite group; Equivariant map; Automorphism; Twist; Representation theory; Algebra over a field; Group (periodic table); Geometry; Physics; Quantum mechanics","score_opus":0.021594055030239794,"score_gpt":0.28851705134409406,"score_spread":0.26692299631385424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3186423259","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9565364,0.00032400337,0.040296875,0.0001669337,0.00012373584,0.00041244208,0.000057615856,0.00012379854,0.0019581884],"genre_scores_gemma":[0.9992376,0.00009780026,0.00006045766,0.000012883459,0.00005462814,0.00006849824,0.000011897376,0.000010682945,0.00044557283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942404,0.00003841468,0.00023160123,0.000105164225,0.00010422405,0.00009654866],"domain_scores_gemma":[0.9984036,0.0010438783,0.00014203072,0.00026700794,0.00011777607,0.000025709669],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003449684,0.00008163484,0.00019917561,0.00009129391,0.00007494534,0.000009124044,0.00013038743,0.000051072122,0.00003320787],"category_scores_gemma":[0.00019183257,0.000067387526,0.00003884176,0.00034017296,0.00023260058,0.000059799637,0.00006117418,0.00005344039,0.0000043856066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004136536,0.00001857781,0.000049986105,0.000117024356,0.000027021784,7.838075e-8,0.000725215,0.00000246394,0.00022103624,0.99705595,0.00009344872,0.0016478577],"study_design_scores_gemma":[0.00012356784,0.000030008781,0.00019178339,0.000008943199,0.000029970806,5.4073e-7,0.0010715687,0.000028426175,0.00905983,0.98813576,0.0012526942,0.000066896944],"about_ca_topic_score_codex":0.0000041759513,"about_ca_topic_score_gemma":2.9699396e-7,"teacher_disagreement_score":0.042701174,"about_ca_system_score_codex":0.0000028115512,"about_ca_system_score_gemma":0.000020025365,"threshold_uncertainty_score":0.27479833},"labels":[],"label_agreement":null},{"id":"W3190574809","doi":"10.1016/j.jalgebra.2021.07.026","title":"Hermitian representations of a TKK algebra","year":2021,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Hermitian matrix; Algebra over a field; Unitary state; Realization (probability); Universal enveloping algebra; Filtered algebra; Field (mathematics); Pure mathematics","score_opus":0.030566806076798257,"score_gpt":0.3175396022262365,"score_spread":0.28697279614943827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3190574809","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915326,0.00062743766,0.0016167631,0.00092021195,0.0011338937,0.00007817414,0.0000042579804,0.000014975816,0.004071662],"genre_scores_gemma":[0.9917604,0.000059509817,0.0071502933,0.00012097809,0.00042555906,0.0000015030189,0.0000012956125,0.00002573943,0.00045474764],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99819547,0.000112880436,0.0008461202,0.00013825664,0.0005199238,0.00018733127],"domain_scores_gemma":[0.9977588,0.00037108164,0.00072571624,0.00036740338,0.000646419,0.00013055629],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002788822,0.0001380561,0.00046349305,0.00011130512,0.00006159319,0.000036162248,0.00026748006,0.00010118937,0.0006243344],"category_scores_gemma":[0.0007877741,0.000117883574,0.00034273043,0.00030982628,0.000060173497,0.0002015776,0.00007918609,0.00027158525,0.000004058231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004735383,0.0002058362,0.00063961337,0.000078191406,0.00029374723,0.00018393736,0.0010096935,0.000014980708,0.002662146,0.9871112,0.0061489553,0.0016043507],"study_design_scores_gemma":[0.00086531317,0.0001179316,0.0014935452,0.000104868865,0.00013181087,0.00044881584,0.00069843384,0.00001550543,0.019038396,0.97624946,0.000715369,0.00012057921],"about_ca_topic_score_codex":0.0000067370343,"about_ca_topic_score_gemma":0.000005509544,"teacher_disagreement_score":0.01637625,"about_ca_system_score_codex":0.000038218568,"about_ca_system_score_gemma":0.00028109318,"threshold_uncertainty_score":0.6836024},"labels":[],"label_agreement":null},{"id":"W3194040532","doi":"10.1007/s11005-022-01548-9","title":"First cohomologies of affine, Virasoro, and lattice vertex operator algebras","year":2022,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba; Pacific Institute for the Mathematical Sciences","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Vertex operator algebra; Mathematics; Pure mathematics; Cohomology; Lattice (music); Conjecture; Affine transformation; Vertex (graph theory); Virasoro algebra; Lie algebra; Mathematical physics; Physics; Algebra over a field; Combinatorics; Current algebra; Algebra representation; Jordan algebra; Cellular algebra","score_opus":0.022915622761862153,"score_gpt":0.2605121962910209,"score_spread":0.23759657352915875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3194040532","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99431,0.000048376252,0.0032574844,0.0010941994,0.00026403772,0.00031901454,0.0000091254005,0.00005220023,0.00064552086],"genre_scores_gemma":[0.9916094,0.000004594894,0.0074849618,0.0006925708,0.00006276572,0.000072087634,0.0000019594715,0.000033594566,0.000038089725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861115,0.000095062234,0.00040172593,0.00025562407,0.0003788648,0.00025754276],"domain_scores_gemma":[0.9983983,0.0010412012,0.00012739308,0.00036663443,0.000021497683,0.000044983608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002461092,0.00019573685,0.00046895875,0.000042361073,0.0001294009,0.000023083234,0.00031744805,0.00004988799,0.00020836563],"category_scores_gemma":[0.0002548771,0.00017841149,0.00007764818,0.00022381768,0.0001605001,0.00008969776,0.00038413773,0.00031343396,0.00000399543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002283945,0.00019857605,0.0003017432,0.00028591807,0.000037512178,0.000011622814,0.001092585,0.00014976009,0.00050049846,0.9959098,0.0013142424,0.00017487357],"study_design_scores_gemma":[0.0005866747,0.00007187065,0.00018414512,0.00004332488,0.00003652024,0.00001018308,0.00023923483,0.0017176198,0.0005180695,0.9963135,0.000082275554,0.00019657897],"about_ca_topic_score_codex":0.00000929792,"about_ca_topic_score_gemma":0.0000015208487,"teacher_disagreement_score":0.004227477,"about_ca_system_score_codex":0.0000617104,"about_ca_system_score_gemma":0.000017369253,"threshold_uncertainty_score":0.72754097},"labels":[],"label_agreement":null},{"id":"W3195916102","doi":"10.4153/s0008439522000364","title":"Auslander’s theorem for dihedral actions on preprojective algebras of type A","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Automorphism; Type (biology); Vertex (graph theory); Context (archaeology); Pure mathematics; Combinatorics; Algebra over a field; Crystallography; Crystal structure","score_opus":0.05605457623192144,"score_gpt":0.3049273034627259,"score_spread":0.24887272723080445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3195916102","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92068124,0.000044536962,0.0030956722,0.005070598,0.0011081898,0.002783685,0.0002555016,0.00013725745,0.06682334],"genre_scores_gemma":[0.9958519,5.4745414e-7,0.0013643586,0.00029888802,0.00009140925,0.0002557594,0.000009303406,0.000042513486,0.0020853328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987368,0.00008695732,0.00030377656,0.00026633427,0.0002629292,0.0003431827],"domain_scores_gemma":[0.9983375,0.0008467117,0.00011372229,0.00039774762,0.00009361248,0.00021071703],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00034113158,0.00016446109,0.00031830062,0.00013085867,0.0003020048,0.000018590466,0.0002765794,0.000073359995,0.010950929],"category_scores_gemma":[0.00092728494,0.00014745095,0.00014469639,0.00017386457,0.00007239618,0.000013005891,0.000060713384,0.00022173603,0.000105278945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079345446,0.000079986356,0.000007464404,0.00006537033,0.000054746983,0.0000030003823,0.00064423325,0.000017804236,0.000013367036,0.9796348,0.019258332,0.00014152494],"study_design_scores_gemma":[0.0004238546,0.0003619135,0.000015469997,0.000022040414,0.00004649899,0.000014537001,0.00062231167,0.00018957705,0.00013746294,0.9804112,0.017592588,0.00016256598],"about_ca_topic_score_codex":0.00028263775,"about_ca_topic_score_gemma":0.00015832963,"teacher_disagreement_score":0.07517067,"about_ca_system_score_codex":0.00024744982,"about_ca_system_score_gemma":0.0002944821,"threshold_uncertainty_score":0.9899532},"labels":[],"label_agreement":null},{"id":"W3197404907","doi":"10.1142/s0219498822502292","title":"Graded torsion-free 𝔰𝔩2(ℂ)-modules of rank 2","year":2021,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple module; Simple (philosophy); Pure mathematics; Torsion (gastropod); Rank (graph theory); Algebra over a field; Lie algebra; Combinatorics","score_opus":0.023034863609839473,"score_gpt":0.28359877189149646,"score_spread":0.260563908281657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3197404907","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9912176,0.0029472257,0.0037395947,0.00096386945,0.0002189463,0.00016645824,0.0000094515,0.000011874954,0.00072494504],"genre_scores_gemma":[0.99467295,0.00048445378,0.0043497756,0.00005408287,0.00027058698,0.000007742001,0.0000014294172,0.000013297698,0.0001456512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989976,0.00003335524,0.0004925678,0.000112649774,0.0002568669,0.000106927815],"domain_scores_gemma":[0.99851125,0.0002267404,0.0004002394,0.00029997507,0.00046391974,0.00009789982],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015621846,0.000099454504,0.00029911278,0.00006160757,0.00008638662,0.00002412022,0.00023901851,0.00007558465,0.000106080064],"category_scores_gemma":[0.00028682445,0.00007963713,0.00012466624,0.00018740525,0.000035743862,0.00012018864,0.00008501531,0.0001453743,0.0000011958227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013058443,0.00010308466,0.000031266805,0.000058908034,0.00007152476,0.0000023247962,0.00019158867,0.0000010172168,0.004301586,0.9918526,0.0020847,0.0012883715],"study_design_scores_gemma":[0.00068105746,0.000055206736,0.00050513254,0.000041710693,0.00009706016,0.00009305037,0.00018727446,0.000024850444,0.020362105,0.975188,0.0026806314,0.000083895786],"about_ca_topic_score_codex":0.0000012393574,"about_ca_topic_score_gemma":0.0000012581071,"teacher_disagreement_score":0.016664544,"about_ca_system_score_codex":0.000014708823,"about_ca_system_score_gemma":0.000080033475,"threshold_uncertainty_score":0.32475078},"labels":[],"label_agreement":null},{"id":"W3198451457","doi":"10.1007/s11005-022-01589-0","title":"Spectra of Bethe subalgebras of $$Y(\\mathfrak {gl}_n)$$ in tame representations","year":2022,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Research University Higher School of Economics; Russian Foundation for Basic Research","keywords":"Yangian; Tensor product; Combinatorics; Mathematics; Subalgebra; Lambda; Spectrum (functional analysis); Center (category theory); Simple (philosophy); Closure (psychology); Algebra over a field; Physics; Pure mathematics; Crystallography; Quantum mechanics","score_opus":0.02917466398257065,"score_gpt":0.2987904801642204,"score_spread":0.26961581618164976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3198451457","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9881123,0.000017068767,0.009027045,0.00069673563,0.00015765172,0.00041735423,0.0000144221685,0.00002575571,0.0015316742],"genre_scores_gemma":[0.99131,0.0000018226101,0.008295301,0.0001924529,0.00006684686,0.000070128845,0.0000042499137,0.00003587209,0.000023302187],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784046,0.00017984475,0.0008227079,0.0002640212,0.00060628937,0.0002866635],"domain_scores_gemma":[0.99807036,0.00096928224,0.00031088234,0.0005819197,0.000028231783,0.000039320646],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041557074,0.00018540658,0.0006028227,0.00012047896,0.00004800659,0.000009073403,0.00044395265,0.00005285768,0.0002575896],"category_scores_gemma":[0.00023868175,0.0001818171,0.0001684595,0.0006289295,0.00015289935,0.000086067674,0.00023168485,0.0004332772,0.000003136125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025013635,0.0005107312,0.0007681557,0.00026957845,0.000028101149,0.000010647003,0.0031881686,0.00061074184,0.0040648403,0.9900771,0.00031910368,0.00012781384],"study_design_scores_gemma":[0.0006124066,0.000050645314,0.00045956383,0.00006317985,0.000026136555,0.0000042173747,0.00057122024,0.0012102594,0.0040074214,0.992827,0.0000071407585,0.00016080456],"about_ca_topic_score_codex":0.000034062145,"about_ca_topic_score_gemma":0.000003202935,"teacher_disagreement_score":0.0031977305,"about_ca_system_score_codex":0.00009843251,"about_ca_system_score_gemma":0.00003558846,"threshold_uncertainty_score":0.7414286},"labels":[],"label_agreement":null},{"id":"W3202329562","doi":"10.21468/scipostphys.13.2.029","title":"Computing associators of endomorphism fusion categories","year":2022,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministry of Colleges and Universities; Industry Canada; National Science Foundation; Government of Canada; Institut Périmètre de physique théorique; National Centres of Competence in Research SwissMAP; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; American Institute of Mathematics","keywords":"Endomorphism; Fusion; Mathematics; Pure mathematics; Natural language processing; Computer science; Artificial intelligence; Algebra over a field; Linguistics; Philosophy","score_opus":0.02805655263612035,"score_gpt":0.2781146035559722,"score_spread":0.25005805091985184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3202329562","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99633217,0.00005103072,0.00072351214,0.00006485389,0.0012961638,0.00015206299,0.000018038789,0.00006151546,0.0013006771],"genre_scores_gemma":[0.9992167,0.0000013616717,0.0003905923,0.00003920334,0.00021523914,0.0000060963475,0.000009648068,0.000022622138,0.000098571916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886787,0.000082413746,0.00023535764,0.00015935142,0.00046445322,0.00019053016],"domain_scores_gemma":[0.9991612,0.0002295526,0.00026378073,0.0002358559,0.0000743979,0.000035221423],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022071767,0.00011506291,0.00025258638,0.00002442607,0.0003551904,0.000013014909,0.0002419167,0.000029523017,0.00008955072],"category_scores_gemma":[0.000060006805,0.00011419503,0.00010671701,0.00025426003,0.00005134868,0.000050353705,0.00038993885,0.0001966245,0.0000019994798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001412445,0.000110671914,0.00047775026,0.000024784324,0.00003754914,0.0000016948788,0.0023698409,0.00015002683,0.0005129981,0.99430096,0.0007831081,0.0012164774],"study_design_scores_gemma":[0.0003819981,0.000104423736,0.0001498477,0.0000062564873,0.000031065083,0.000002132617,0.00054062204,0.00035897602,0.003065352,0.9948795,0.00035425674,0.00012560848],"about_ca_topic_score_codex":0.00004505548,"about_ca_topic_score_gemma":0.0000011531813,"teacher_disagreement_score":0.00288452,"about_ca_system_score_codex":0.000084568754,"about_ca_system_score_gemma":0.00006984749,"threshold_uncertainty_score":0.4656738},"labels":[],"label_agreement":null},{"id":"W3202828883","doi":"10.1112/s0010437x21007533","title":"Wall-crossings and a categorification of <i>K</i> -theory stable bases of the Springer resolution","year":2021,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Categorification; Mathematics; Pure mathematics; Resolution (logic); Monodromy; Affine Lie algebra; Cohomology; Affine transformation; Algebra over a field; Verma module; Lie algebra; Quantum affine algebra; Affine representation; Representation theory; Current algebra; Algebra representation; Cellular algebra","score_opus":0.024463819025219182,"score_gpt":0.2639367386998412,"score_spread":0.239472919674622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3202828883","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9863715,0.00041589345,0.009620265,0.00029867838,0.00014227712,0.00023211175,0.000007750813,0.00002772685,0.0028837547],"genre_scores_gemma":[0.9925798,0.00001128906,0.006961612,0.000038453025,0.000021805206,0.0000103679,0.0000020323514,0.000016098566,0.00035851088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989787,0.00011121886,0.00038696808,0.0001619212,0.00023426191,0.00012696172],"domain_scores_gemma":[0.99863046,0.00037765948,0.00027655056,0.0004893931,0.00019330798,0.000032601354],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029472576,0.00011099655,0.00027580097,0.000025478756,0.000117952506,0.00002582505,0.00015125689,0.00006284608,0.00004784322],"category_scores_gemma":[0.00023950999,0.00008229825,0.00008453347,0.0001593514,0.00014983158,0.00006862872,0.00011197787,0.0000833416,0.0000010128194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019075012,0.00011431575,0.00004650688,0.00044320602,0.000034938796,5.5256714e-7,0.001084233,0.0000039300244,0.040088795,0.95786524,0.0001997597,0.000099474244],"study_design_scores_gemma":[0.00023141775,0.000017181263,0.0002968577,0.00019984318,0.000084624546,0.000018030403,0.00017342232,0.00035300068,0.13385586,0.8646056,0.00008792645,0.00007623365],"about_ca_topic_score_codex":0.000008911888,"about_ca_topic_score_gemma":0.0000014107637,"teacher_disagreement_score":0.09376706,"about_ca_system_score_codex":0.000023867113,"about_ca_system_score_gemma":0.0000695049,"threshold_uncertainty_score":0.33560252},"labels":[],"label_agreement":null},{"id":"W3204699878","doi":"10.1017/fms.2021.30","title":"Maximal indexes of flag varieties for spin groups","year":2021,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Flag (linear algebra); Spin (aerodynamics); Mathematics; Action (physics); Content (measure theory); Combinatorics; Physics; Pure mathematics; Mathematical analysis; Quantum mechanics; Algebra over a field; Thermodynamics","score_opus":0.030244869779798,"score_gpt":0.2913454308489417,"score_spread":0.2611005610691437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3204699878","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8246757,0.00034000172,0.17105971,0.00033029623,0.00071248965,0.000639006,0.00006025635,0.00006612454,0.002116431],"genre_scores_gemma":[0.92898667,0.000010189503,0.07038902,0.000024310004,0.000074643416,0.000034788838,0.000008423083,0.00004504969,0.0004269284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834436,0.000025655107,0.0007378766,0.00020498688,0.00039420012,0.00029293005],"domain_scores_gemma":[0.9979249,0.0006916247,0.000461791,0.00053788925,0.0003280062,0.00005577033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002834272,0.00020631318,0.00065506325,0.00006493404,0.000064542364,0.00001991253,0.0002886289,0.00017272746,0.00014950117],"category_scores_gemma":[0.0007497733,0.00018288616,0.00029470722,0.00015306991,0.00009960319,0.00007869943,0.00016555421,0.00010119446,0.0000015479613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030494466,0.0002728928,0.000089390815,0.00147059,0.00011619405,0.0000015855269,0.0012442566,0.0000093751305,0.0015612833,0.99380624,0.0011823693,0.00021534594],"study_design_scores_gemma":[0.0006610101,0.00019964924,0.000020820928,0.0001170255,0.00009402025,0.000011149531,0.0014990096,0.0004826266,0.060888,0.93567175,0.00018555648,0.00016935806],"about_ca_topic_score_codex":0.000005207996,"about_ca_topic_score_gemma":0.000008502677,"teacher_disagreement_score":0.10431096,"about_ca_system_score_codex":0.000020881924,"about_ca_system_score_gemma":0.000101546786,"threshold_uncertainty_score":0.7457881},"labels":[],"label_agreement":null},{"id":"W3207258112","doi":"10.1063/5.0081059","title":"Classification of quantum graphs on <i>M</i>2 and their quantum automorphism groups","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo","keywords":"Mathematics; Quantum; Automorphism; Automorphism group; Pure mathematics; Undirected graph; String (physics); Discrete mathematics; Combinatorics; Graph; Quantum mechanics; Mathematical physics; Physics","score_opus":0.04465506196181138,"score_gpt":0.2795348944280307,"score_spread":0.23487983246621932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207258112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.982207,0.00007892866,0.016349621,0.00032218473,0.00041366366,0.00016574432,0.000010738409,0.000018833014,0.00043326235],"genre_scores_gemma":[0.99904305,0.000012704936,0.0006917207,0.00006576286,0.00013506573,0.000007274031,9.6583e-7,0.000029963017,0.000013480595],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998202,0.00014522857,0.0007448721,0.0001349745,0.00060271553,0.00017018318],"domain_scores_gemma":[0.9976867,0.00088699756,0.0009032799,0.00028915395,0.00013966313,0.00009421174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063628104,0.00018534344,0.00057563605,0.00007970612,0.00013869362,0.00002003971,0.00029705907,0.000054330412,0.000066407694],"category_scores_gemma":[0.00019724364,0.00013204187,0.00023884079,0.00020134417,0.0001104703,0.00010090118,0.00010596624,0.0004620225,0.0000013770864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008232312,0.00049365615,0.000016652426,0.00012590252,0.00007976272,0.0000033197755,0.0010529149,0.000028416953,0.0012906864,0.99554354,0.0007845258,0.000498313],"study_design_scores_gemma":[0.0005946922,0.00061855203,0.00014010187,0.00007140316,0.00006521766,0.000067431196,0.00080592796,0.0075021945,0.00060448615,0.9893377,0.000064246124,0.00012806887],"about_ca_topic_score_codex":7.2870483e-7,"about_ca_topic_score_gemma":4.0256936e-8,"teacher_disagreement_score":0.01683604,"about_ca_system_score_codex":0.00005250713,"about_ca_system_score_gemma":0.000054886397,"threshold_uncertainty_score":0.53845114},"labels":[],"label_agreement":null},{"id":"W3207692119","doi":"10.1007/s00029-023-00881-8","title":"Zoo of monotone Lagrangians in $${\\mathbb {C}}P^n$$","year":2023,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Russian Science Foundation","keywords":"Monotone polygon; Mathematics; Manifold (fluid mechanics); Combinatorics; Cohomology; Lagrangian; Topology (electrical circuits); Dimension (graph theory); Polytope; Symplectic geometry; Ring (chemistry); Fano plane; Pure mathematics; Geometry","score_opus":0.041756480805919684,"score_gpt":0.3213863041102078,"score_spread":0.2796298233042881,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207692119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99041176,0.00004015831,0.0016912301,0.00022501957,0.00032355197,0.0004948764,0.000005664882,0.00027652812,0.006531195],"genre_scores_gemma":[0.9932711,0.000014071576,0.005820055,0.00002017271,0.00008247039,0.000053861677,0.000003620603,0.00005118343,0.0006834375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99836904,0.00005540453,0.00056192925,0.00024862497,0.00035940745,0.00040562078],"domain_scores_gemma":[0.99872935,0.0005092789,0.00015903852,0.0004703608,0.0000667795,0.00006518136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042018935,0.00019824,0.0005071485,0.000251673,0.00004314902,0.000017412598,0.00033404233,0.00013062691,0.00017239034],"category_scores_gemma":[0.0004626764,0.00017171942,0.0001223871,0.0010672207,0.000051860126,0.00007784818,0.00008996795,0.00016474046,0.0000968849],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018027493,0.000119173616,0.00009420819,0.00038892223,0.00003911441,0.000010172907,0.002581263,0.000012670382,0.00074355386,0.99349105,0.002252552,0.0002492824],"study_design_scores_gemma":[0.00047981256,0.00005629423,0.00016176216,0.00012038816,0.000025446865,0.0000067485726,0.00023572247,0.0031399194,0.0022042764,0.9932948,0.00009602855,0.00017879848],"about_ca_topic_score_codex":0.000021346628,"about_ca_topic_score_gemma":0.000016432848,"teacher_disagreement_score":0.005847757,"about_ca_system_score_codex":0.000037222355,"about_ca_system_score_gemma":0.00005501457,"threshold_uncertainty_score":0.7002515},"labels":[],"label_agreement":null},{"id":"W3207701610","doi":"10.1090/jams/990","title":"Intersection complexes and unramified 𝐿-factors","year":2021,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"National Science Foundation","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","score_opus":0.02485731483349185,"score_gpt":0.2835869913129156,"score_spread":0.25872967647942374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207701610","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9912009,0.00032698383,0.0050751106,0.001912669,0.0010500766,0.00012721127,0.0000063321354,0.000013348695,0.0002873546],"genre_scores_gemma":[0.99226403,0.00017852412,0.0063152527,0.00045400066,0.00041501064,9.633624e-7,3.746197e-7,0.000040208786,0.00033165593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975257,0.00029482183,0.0009419032,0.00021109013,0.0006973801,0.00032913053],"domain_scores_gemma":[0.9962069,0.0011426667,0.0016675775,0.00043669646,0.00034087477,0.00020528241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005117422,0.00031194976,0.0010298841,0.000023220166,0.00027109802,0.00017192648,0.0004186911,0.000118158605,0.00017664827],"category_scores_gemma":[0.0009476011,0.00018878738,0.001110745,0.00042206282,0.00077294867,0.0001255255,0.00037789103,0.00080222037,0.0000036128204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016925707,0.0011733344,0.003263521,0.001325488,0.0033199943,0.00003156048,0.027544847,0.00003638236,0.0066128233,0.94058335,0.0137216775,0.0022177927],"study_design_scores_gemma":[0.00061728165,0.0002410405,0.0036354424,0.00043522962,0.0006383397,0.00038524647,0.017638989,0.00076107774,0.0021732682,0.9728789,0.00034128642,0.00025394963],"about_ca_topic_score_codex":0.000014856068,"about_ca_topic_score_gemma":0.0000021866488,"teacher_disagreement_score":0.03229553,"about_ca_system_score_codex":0.00022015852,"about_ca_system_score_gemma":0.0001933326,"threshold_uncertainty_score":0.7698526},"labels":[],"label_agreement":null},{"id":"W3210551121","doi":"10.1007/jhep02(2022)126","title":"Interacting systems and wormholes","year":2022,"lang":"en","type":"preprint","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Colleges and Universities; Abdus Salam International Centre for Theoretical Physics; Government of Canada; Institut Périmètre de physique théorique; University of Crete; Simons Foundation","keywords":"Wormhole; Partition function (quantum field theory); Euclidean geometry; Physics; Gravitation; Matrix (chemical analysis); Simple (philosophy); Theoretical physics; Quantum field theory; Pure mathematics; Classical mechanics; Mathematical physics; Quantum mechanics; Mathematics; Geometry","score_opus":0.03032739276803085,"score_gpt":0.2839734554046007,"score_spread":0.25364606263656986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3210551121","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93258065,0.0025835023,0.045572188,0.0001402261,0.018027378,0.000113147566,0.000016037886,0.000040584466,0.0009262749],"genre_scores_gemma":[0.9962083,0.00020142266,0.0010200603,0.000025909158,0.0022984222,0.000006970147,0.0000037736181,0.000046369896,0.0001887453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984225,0.00012261755,0.00063799595,0.00017838764,0.00047977507,0.00015874581],"domain_scores_gemma":[0.9974813,0.00039645442,0.0015779795,0.0002895234,0.0001745962,0.00008017591],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023230775,0.00024520798,0.0006734498,0.00007482289,0.00010148956,0.0001362395,0.0003633172,0.00012802795,0.000022955814],"category_scores_gemma":[0.00007987232,0.00020472154,0.00020498989,0.00006624699,0.000028041835,0.00011241171,0.0007224282,0.00092156546,1.2490288e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034234676,0.000048993596,0.000018127372,0.00015140795,0.00026011732,0.000028848784,0.00030499024,0.0041559753,0.00000662859,0.9929062,0.0008223421,0.0012621069],"study_design_scores_gemma":[0.0002870722,0.00007446078,0.0000143757525,0.00030721902,0.00014671606,0.000069871654,0.00026903584,0.000264139,0.000097648415,0.997063,0.001211954,0.00019451881],"about_ca_topic_score_codex":0.00011401802,"about_ca_topic_score_gemma":0.000001305089,"teacher_disagreement_score":0.06362767,"about_ca_system_score_codex":0.00012678618,"about_ca_system_score_gemma":0.00011857416,"threshold_uncertainty_score":0.8348302},"labels":[],"label_agreement":null},{"id":"W3210900027","doi":"10.1016/j.jpaa.2024.107801","title":"Some remarks on relative modular categories","year":2024,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"National Science Foundation","keywords":"Mathematics; Modular design; Quotient; Simple (philosophy); Ideal (ethics); Degenerate energy levels; Pure mathematics; Modular form; Algebra over a field; Computer science; Epistemology","score_opus":0.015070871892162283,"score_gpt":0.2608257009301944,"score_spread":0.24575482903803214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3210900027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9865957,0.0042974786,0.001775263,0.0013424787,0.0016725312,0.00019069144,0.000003374951,0.000055279015,0.0040672133],"genre_scores_gemma":[0.9973669,0.00015012329,0.00072738226,0.00013963804,0.0013163526,0.0000033420456,6.9041306e-7,0.00002816075,0.00026738594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989568,0.000023739261,0.00037022645,0.00015910516,0.00032469328,0.00016540861],"domain_scores_gemma":[0.99929357,0.00026275517,0.00016058006,0.00013574942,0.000049285798,0.0000980349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027795878,0.00017405422,0.00033003098,0.00011474751,0.00008391904,0.00010795698,0.00013011773,0.00013238139,0.00003743499],"category_scores_gemma":[0.000051603627,0.0001180681,0.00012006503,0.000118061034,0.000051955238,0.00020329957,0.000038701837,0.0004891125,0.000006414844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005682964,0.00002361367,0.0000025136114,0.00006813742,0.0001530854,0.000041585718,0.00086310256,0.000008892906,0.00040695316,0.9933302,0.0031181753,0.001926938],"study_design_scores_gemma":[0.00031843618,0.00016377721,0.00004060502,0.00011058399,0.00010130546,0.00006680018,0.00024314874,0.000036928494,0.0015438074,0.9951972,0.0020437061,0.00013372244],"about_ca_topic_score_codex":5.757782e-7,"about_ca_topic_score_gemma":3.3609564e-7,"teacher_disagreement_score":0.0107712345,"about_ca_system_score_codex":0.0000362395,"about_ca_system_score_gemma":0.000057587844,"threshold_uncertainty_score":0.48146775},"labels":[],"label_agreement":null},{"id":"W3211077712","doi":"10.1007/s00209-025-03691-0","title":"Deformation theory for finite cluster complexes","year":2025,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Cluster (spacecraft); Deformation (meteorology); Finite element method; Structural engineering; Physics; Mathematics; Geometry; Computer science; Materials science; Engineering; Composite material; Computer network","score_opus":0.026613523244576026,"score_gpt":0.310230592292545,"score_spread":0.283617069047969,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3211077712","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035707764,0.00024122694,0.90341055,0.0007267202,0.0009785164,0.0014982052,0.00003180831,0.00033448104,0.057070743],"genre_scores_gemma":[0.95261455,0.000006246017,0.041746993,0.00069304596,0.00016698109,0.00031307313,0.000024294897,0.00004927148,0.004385565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985652,0.00009265251,0.00052813126,0.00026437957,0.00021379028,0.0003358488],"domain_scores_gemma":[0.99705464,0.0020597957,0.0001895635,0.00050130446,0.00013951797,0.000055188342],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007494753,0.00025779588,0.00040599864,0.00013831466,0.0002635943,0.00009832176,0.0003478446,0.00017277547,0.00016126728],"category_scores_gemma":[0.0010051738,0.00020371345,0.00019616395,0.00019315194,0.000059628022,0.00020894439,0.00013681817,0.00015666263,0.00003570198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006839718,0.00005354583,0.000012020006,0.00045039685,0.00009369069,2.3735599e-7,0.00062536885,0.000017607046,0.000114567614,0.9878556,0.008791493,0.0019170474],"study_design_scores_gemma":[0.0010872771,0.00003848215,0.000043370514,0.00015640062,0.000103679085,0.0000034162813,0.00019365369,0.0027855947,0.002431344,0.9757209,0.017216334,0.0002195883],"about_ca_topic_score_codex":0.0000033604567,"about_ca_topic_score_gemma":0.0000039730053,"teacher_disagreement_score":0.9169068,"about_ca_system_score_codex":0.000009138318,"about_ca_system_score_gemma":0.00005441573,"threshold_uncertainty_score":0.8307194},"labels":[],"label_agreement":null},{"id":"W3211462270","doi":"10.70930/tac/xclr43s4","title":"Pivotal objects in monoidal categories and their Hopf monads","year":2021,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Symmetric monoidal category; Enriched category; Dual (grammatical number); Mathematics; Closed monoidal category; Monoidal category; Construct (python library); Object (grammar); Pure mathematics; Discrete mathematics; 2-category; Cover (algebra); Combinatorics; Functor; Computer science; Linguistics; Programming language; Artificial intelligence","score_opus":0.01081329438544769,"score_gpt":0.25195556554727816,"score_spread":0.24114227116183046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3211462270","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98915225,0.0024875293,0.0056034033,0.00010655374,0.000054501692,0.00022056658,0.000010767291,0.00003426063,0.0023301588],"genre_scores_gemma":[0.9991204,0.00017321878,0.00022058631,0.000022675797,0.000064927975,0.00010365511,0.000007935934,0.000013515215,0.00027307039],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992786,0.000076199634,0.00022685641,0.00020587674,0.000073323485,0.00013914665],"domain_scores_gemma":[0.9990309,0.0004912107,0.000079286845,0.00027140876,0.00008009155,0.000047125348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023675496,0.00014023363,0.00025475182,0.000049102648,0.00011349842,0.0000324303,0.00009852795,0.00008019829,0.000020589232],"category_scores_gemma":[0.00008472161,0.000115818824,0.000031190437,0.0001952504,0.0002725408,0.00009525674,0.00010096763,0.000107288644,5.270029e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003627734,0.00004250349,0.00025907953,0.00007367569,0.000020483136,7.88107e-7,0.0028080784,0.0000018541963,0.0006442871,0.99258006,0.000012189341,0.0035207316],"study_design_scores_gemma":[0.0002552818,0.000021624253,0.00044557045,0.000007013498,0.000017251296,0.000014262521,0.005840013,0.000010038427,0.019997027,0.9730141,0.00025841183,0.00011939278],"about_ca_topic_score_codex":0.000023513938,"about_ca_topic_score_gemma":0.000030377836,"teacher_disagreement_score":0.01956594,"about_ca_system_score_codex":0.000009228737,"about_ca_system_score_gemma":0.000062160485,"threshold_uncertainty_score":0.47229546},"labels":[],"label_agreement":null},{"id":"W3211546674","doi":"10.4310/arkiv.2021.v59.n2.a6","title":"A Riemann-Roch type theorem for twisted fibrations of moment graphs","year":2021,"lang":"en","type":"article","venue":"Cineca Institutional Research Information System (Tor Vergata University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Università degli Studi di Roma Tor Vergata; Ministero dell’Istruzione, dell’Università e della Ricerca","keywords":"Mathematics; Riemann hypothesis; Pure mathematics; Moment (physics); Physics; Quantum mechanics","score_opus":0.11449686192086084,"score_gpt":0.33545557759133615,"score_spread":0.22095871567047531,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3211546674","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7103947,0.00009388364,0.14625782,0.0007197286,0.002296737,0.002856481,0.00069652667,0.0002769773,0.13640717],"genre_scores_gemma":[0.99741447,0.000011017557,0.001445916,0.000013129903,0.00006733929,0.0000078367975,0.00020993657,0.0000069064376,0.00082344067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982821,0.00012759866,0.00040001993,0.00016483116,0.00077124196,0.00025424894],"domain_scores_gemma":[0.99629456,0.00035108623,0.00017365375,0.00037565207,0.0026781294,0.0001269332],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053998845,0.00012351369,0.00023251551,0.0005011541,0.0004891348,0.00006052099,0.00032883623,0.00012253091,0.00007433439],"category_scores_gemma":[0.00073461275,0.00012218289,0.00011652321,0.0013074965,0.00021479996,0.0009159049,0.0001720637,0.00015751716,0.000024078954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016881495,0.000033755674,0.000041969102,0.0005618927,0.00008219067,0.0000056968865,0.0005256133,0.00024636107,0.00011415392,0.99616754,0.001971688,0.00008034347],"study_design_scores_gemma":[0.008793167,0.00069447706,0.0013850863,0.001226936,0.00017846364,0.00008116009,0.019980395,0.010344401,0.0076286765,0.56176436,0.38709292,0.0008299267],"about_ca_topic_score_codex":0.000019652914,"about_ca_topic_score_gemma":0.0000063857024,"teacher_disagreement_score":0.43440315,"about_ca_system_score_codex":0.00045381568,"about_ca_system_score_gemma":0.001141424,"threshold_uncertainty_score":0.49824739},"labels":[],"label_agreement":null},{"id":"W3212059403","doi":"10.1007/jhep11(2021)060","title":"Conformal quantum mechanics &amp; the integrable spinning Fishnet","year":2021,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Natural Sciences and Engineering Research Council of Canada; Government of Canada; Institut Périmètre de physique théorique; Russian Science Foundation; Simons Foundation","keywords":"Mathematical physics; Physics; Scalar (mathematics); Quantum mechanics; Mathematics; Geometry","score_opus":0.029348327990333677,"score_gpt":0.26496148446553425,"score_spread":0.23561315647520056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3212059403","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26900518,0.00062874675,0.7236605,0.0010044568,0.004286177,0.000051113948,0.0000056460517,0.000035480098,0.0013227072],"genre_scores_gemma":[0.996159,0.00009401133,0.0019320166,0.00038006582,0.0010692739,0.0000014811031,0.0000040863965,0.000026481994,0.00033357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986691,0.00007612748,0.00048236523,0.00010082679,0.00044456898,0.00022700064],"domain_scores_gemma":[0.9984244,0.00022277008,0.0005285213,0.00031466328,0.00043622017,0.00007344371],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023610119,0.00016278142,0.00036682346,0.000023471843,0.00014767968,0.00008668002,0.00033468383,0.00008422102,0.00008249198],"category_scores_gemma":[0.00014691237,0.00010420357,0.00022774676,0.00019622591,0.000027045311,0.00020394167,0.00010459721,0.00037477995,0.0000020946807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002419698,0.000047850757,0.0000020229297,0.00001205079,0.00012181926,0.000016886055,0.0002012368,0.00043577474,0.00011535521,0.99245846,0.005590304,0.00097404374],"study_design_scores_gemma":[0.00042802727,0.00006984582,0.0000056155886,0.000050928447,0.00008193474,0.00011884261,0.00018890644,0.00041571129,0.0049181497,0.9817559,0.0118406685,0.00012547843],"about_ca_topic_score_codex":0.000043369542,"about_ca_topic_score_gemma":0.000014893394,"teacher_disagreement_score":0.72715384,"about_ca_system_score_codex":0.000047667098,"about_ca_system_score_gemma":0.00019198393,"threshold_uncertainty_score":0.42492986},"labels":[],"label_agreement":null},{"id":"W3213267384","doi":"10.1090/jag/773","title":"Equivariant connective 𝐾-theory","year":2021,"lang":"en","type":"article","venue":"Journal of Algebraic Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Algorithm; Equivariant map; Annotation; Mathematics; Computer science; Artificial intelligence; Pure mathematics","score_opus":0.029995080982248144,"score_gpt":0.3023196591820964,"score_spread":0.2723245781998483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3213267384","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9785098,0.0015774835,0.0129066445,0.0005793379,0.0030129645,0.000078971214,0.0000033202377,0.000027469841,0.0033040473],"genre_scores_gemma":[0.99397707,0.00004121018,0.004121824,0.0003376955,0.0008154175,0.0000013269412,9.3981595e-7,0.00003422676,0.0006702853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794406,0.0002281998,0.0007253659,0.00019434917,0.0005931058,0.00031490656],"domain_scores_gemma":[0.9966368,0.0012839321,0.0006167635,0.00035365447,0.0009140556,0.00019480904],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010306396,0.0002026714,0.000567421,0.0002358081,0.000096984586,0.000067682144,0.00033516032,0.00016400199,0.0013941596],"category_scores_gemma":[0.0040846425,0.00016506559,0.0003177419,0.0007308671,0.00006386921,0.00020870254,0.0001369052,0.0004822136,0.000015692607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008693749,0.00013509576,0.00013435437,0.00003942993,0.0003644326,0.0003195708,0.00039169265,0.0000069569337,0.00076831627,0.99335474,0.0025099185,0.0018885714],"study_design_scores_gemma":[0.0010960844,0.00018365454,0.0006834744,0.000078902005,0.00014576464,0.0010315658,0.00089118746,0.000005789063,0.0067995326,0.987909,0.0009870308,0.00018801496],"about_ca_topic_score_codex":0.0000014308624,"about_ca_topic_score_gemma":8.2568613e-7,"teacher_disagreement_score":0.015467312,"about_ca_system_score_codex":0.00009939364,"about_ca_system_score_gemma":0.00038749247,"threshold_uncertainty_score":0.9995187},"labels":[],"label_agreement":null},{"id":"W3213796047","doi":"10.3842/sigma.2022.085","title":"Character Vectors of Strongly Regular Vertex Operator Algebras","year":2022,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Vertex (graph theory); Operator (biology); Character (mathematics); Mathematics; Rank (graph theory); Modular design; Operator algebra; Pure mathematics; Vertex operator algebra; Algebra over a field; Discrete mathematics; Computer science; Combinatorics; Graph; Current algebra; Geometry; Jordan algebra","score_opus":0.027465849433369927,"score_gpt":0.34891478063032616,"score_spread":0.3214489311969562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3213796047","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96634895,0.0007065818,0.031284377,0.00027099284,0.00022900625,0.0006551178,0.000099944555,0.000050492235,0.00035455448],"genre_scores_gemma":[0.95302874,0.000034853874,0.046256177,0.0000700255,0.00007336935,0.00035228147,0.000015150596,0.000022022561,0.00014738881],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817103,0.0004157749,0.00047204958,0.00047532504,0.00024295806,0.00022284621],"domain_scores_gemma":[0.99798226,0.0010190528,0.00017681913,0.0005824874,0.00010695745,0.00013240309],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015112269,0.00020833904,0.00046283117,0.00017352466,0.00041721243,0.000033385466,0.00025452868,0.000099173616,0.00037854488],"category_scores_gemma":[0.00041553206,0.00018097258,0.000116518255,0.0007143291,0.00022826986,0.00008386867,0.0003033537,0.00041233635,7.0818083e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002409743,0.00016024524,0.0022221722,0.00011102217,0.00006882795,1.6833036e-7,0.00019097886,8.024519e-7,0.0010467147,0.95481724,0.00006941575,0.041288305],"study_design_scores_gemma":[0.00033430124,0.00015982107,0.003585345,0.000008940416,0.000087021144,0.000012599376,0.0012149998,0.000120348566,0.0026977095,0.98211443,0.0094403345,0.00022417407],"about_ca_topic_score_codex":0.00006009794,"about_ca_topic_score_gemma":0.0000015187421,"teacher_disagreement_score":0.041064132,"about_ca_system_score_codex":0.000049969527,"about_ca_system_score_gemma":0.000047336045,"threshold_uncertainty_score":0.7379848},"labels":[],"label_agreement":null},{"id":"W3213907940","doi":"10.37236/11259","title":"Hopf Structures in the Representation Theory of Direct Products","year":2022,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Categorification; Hopf algebra; Mathematics; Noncommutative geometry; Representation theory; Quantum group; Representation (politics); Algebraic structure; Product (mathematics); Algebra over a field; Group (periodic table); Representation theory of Hopf algebras; Character (mathematics); Pure mathematics; Combinatorics; Discrete mathematics; Algebra representation; Division algebra","score_opus":0.028771980543300026,"score_gpt":0.2866485844429504,"score_spread":0.25787660389965034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3213907940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99317735,0.0030835532,0.00032542847,0.001051806,0.0010424568,0.00034207638,0.0000013448916,0.000009036144,0.00096695346],"genre_scores_gemma":[0.99953943,0.00012392578,0.000010319297,0.00006151424,0.00012889977,0.000011719737,6.8664275e-7,0.000019621755,0.00010386501],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968535,0.0011845713,0.00058754615,0.00012427609,0.00090228755,0.0003478593],"domain_scores_gemma":[0.997393,0.0011425021,0.0007889499,0.00047401403,0.00018129258,0.000020229449],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003668589,0.00014172621,0.00033667005,0.00012209342,0.00021315117,0.000021416372,0.0010636447,0.000036701626,0.000033804317],"category_scores_gemma":[0.00071049173,0.00007994039,0.00013758057,0.0008037105,0.00007268615,0.00008909625,0.00011995818,0.0010032726,1.5798953e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019020012,0.0001267495,0.00011748867,0.000016152288,0.00007840165,0.0000051666507,0.002968856,0.00022768592,0.00010586644,0.99518734,0.0006735623,0.00030250775],"study_design_scores_gemma":[0.00071858417,0.00050998415,0.00045312927,0.000007231141,0.000084361454,0.00015522235,0.0021694037,0.00001358669,0.0013843249,0.99377346,0.0006463115,0.00008440938],"about_ca_topic_score_codex":0.000011188785,"about_ca_topic_score_gemma":0.0000021113333,"teacher_disagreement_score":0.006362103,"about_ca_system_score_codex":0.0002332055,"about_ca_system_score_gemma":0.00037830498,"threshold_uncertainty_score":0.4358776},"labels":[],"label_agreement":null},{"id":"W3215384262","doi":"10.1007/s00209-025-03712-y","title":"Crystal invariant theory I: geometric RSK","year":2025,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Invariant (physics); Isomorphism (crystallography); Algebraically closed field; Pure mathematics; Intersection (aeronautics); Invariant theory; Crystal (programming language); Combinatorics; Algebra over a field; Crystal structure; Mathematical physics; Crystallography; Computer science","score_opus":0.016568865984440895,"score_gpt":0.2675441763417821,"score_spread":0.2509753103573412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3215384262","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06548378,0.080775015,0.38727707,0.0028919694,0.025560632,0.0056288214,0.0003166499,0.0015068088,0.43055925],"genre_scores_gemma":[0.96504533,0.00066702854,0.009395811,0.00080546486,0.0013164754,0.00017224392,0.000037298913,0.00022631255,0.022334022],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99417025,0.000609814,0.0017161312,0.0011562041,0.0010511065,0.0012964974],"domain_scores_gemma":[0.9936846,0.0028101553,0.00070372736,0.0021317757,0.00033120162,0.00033854402],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0022249045,0.0010894695,0.0016212465,0.0010540335,0.0006358331,0.0005541013,0.0015333113,0.0009604081,0.0034825662],"category_scores_gemma":[0.0031892026,0.0009587717,0.000674846,0.0024541535,0.00030401605,0.00034519748,0.0011059204,0.0012206333,0.0014068682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011947647,0.000501574,0.000060260878,0.0016312586,0.0013974168,0.00004720926,0.0012540424,0.000012286115,0.00017077907,0.9611651,0.030905787,0.002734859],"study_design_scores_gemma":[0.00201095,0.00014095247,0.00013495247,0.0011160386,0.0014151372,0.000021882608,0.0005730171,0.00047303003,0.0018806631,0.9105597,0.08071726,0.000956404],"about_ca_topic_score_codex":0.000044006832,"about_ca_topic_score_gemma":0.000004327564,"teacher_disagreement_score":0.8995616,"about_ca_system_score_codex":0.000048948263,"about_ca_system_score_gemma":0.0005726493,"threshold_uncertainty_score":0.99937063},"labels":[],"label_agreement":null},{"id":"W3215721344","doi":"10.2140/involve.2024.17.11","title":"Cones and ping-pong in three dimensions","year":2024,"lang":"en","type":"article","venue":"Involve a Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Combinatorics; Ping pong; Mathematics; Table (database); Sign (mathematics); Product (mathematics); Cone (formal languages); Physics; Geometry; Mathematical analysis; Computer science; Algorithm","score_opus":0.0513411371432033,"score_gpt":0.3093397357643045,"score_spread":0.2579985986211012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3215721344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9880504,0.0049705477,0.0056078476,0.00029156505,0.000672141,0.00011990703,0.0000013450683,0.000024370771,0.00026186364],"genre_scores_gemma":[0.9862552,0.00017408084,0.013300749,0.000034601297,0.00016530615,0.0000023561026,1.23665e-7,0.000028684151,0.00003889591],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987718,0.00002713444,0.0006340802,0.00010420843,0.00029506267,0.00016775398],"domain_scores_gemma":[0.9983992,0.001070822,0.00019698933,0.00015794196,0.00009399114,0.000081052414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057298184,0.00014782957,0.00038639517,0.00019406299,0.00003932855,0.000086427295,0.00015454304,0.00008958352,0.000030665757],"category_scores_gemma":[0.00042281364,0.00010633363,0.00010631618,0.00017194173,0.000061122446,0.00016666888,0.00007249756,0.0003125759,0.0000035061305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000089277,0.00008655064,0.00020607412,0.00043846588,0.000096743686,0.0001455601,0.004160003,0.000014172134,0.00023857183,0.99375325,0.00046730437,0.0003843971],"study_design_scores_gemma":[0.00031244816,0.00009837701,0.00006259479,0.0010878472,0.000078451034,0.00032500498,0.00074573635,0.0030112653,0.00017043418,0.9938423,0.00015153919,0.00011400544],"about_ca_topic_score_codex":0.000004622757,"about_ca_topic_score_gemma":0.000027395736,"teacher_disagreement_score":0.0076929005,"about_ca_system_score_codex":0.000038995495,"about_ca_system_score_gemma":0.00007596295,"threshold_uncertainty_score":0.43361595},"labels":[],"label_agreement":null},{"id":"W3215987556","doi":"10.1016/j.jpaa.2025.107883","title":"Functorial aggregation","year":2025,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Air Force Office of Scientific Research","keywords":"Functor; Function (biology); Polynomial; Monoid; Commutative property; Categorical variable; Mathematics; Variable (mathematics); Space (punctuation); Parametric statistics; Computer science; Pure mathematics; Discrete mathematics; Database; Mathematical analysis; Statistics","score_opus":0.013984846629746209,"score_gpt":0.2627727558579861,"score_spread":0.2487879092282399,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3215987556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98762226,0.0004146226,0.003651762,0.00042341894,0.002212739,0.00012091113,6.8710347e-7,0.000016428161,0.0055371416],"genre_scores_gemma":[0.9977026,0.000028618671,0.0009468802,0.00014841555,0.0009878178,0.0000020928335,3.680066e-7,0.000007892888,0.00017533319],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923944,0.000016014515,0.00034461622,0.000089495625,0.00019837501,0.00011207578],"domain_scores_gemma":[0.9993762,0.00014500055,0.00023971699,0.00010383658,0.00008228341,0.000053007745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002191686,0.000105766965,0.00025561554,0.00008824861,0.000073130854,0.00004825521,0.00011818325,0.00009965034,0.000036567446],"category_scores_gemma":[0.00007766881,0.00007799554,0.0000735128,0.00012604454,0.00002691529,0.00006811963,0.000037296668,0.0001955999,0.0000010692315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092089416,0.00002441597,0.000050578165,0.00003051544,0.00006755316,0.0000020175628,0.00014737515,0.0000016190911,0.0005076291,0.9842433,0.006092802,0.00874013],"study_design_scores_gemma":[0.00095592445,0.00004893723,0.00017414056,0.00004363381,0.00008341715,0.000010591644,0.00012698508,0.000004229735,0.0022400147,0.99267995,0.0035594224,0.00007274036],"about_ca_topic_score_codex":5.3272163e-7,"about_ca_topic_score_gemma":8.6076784e-7,"teacher_disagreement_score":0.010080292,"about_ca_system_score_codex":0.000021919735,"about_ca_system_score_gemma":0.00006280941,"threshold_uncertainty_score":0.31805655},"labels":[],"label_agreement":null},{"id":"W3216586779","doi":"10.1007/978-981-16-1703-4","title":"Yang–Baxter Deformation of 2D Non-Linear Sigma Models","year":2021,"lang":"en","type":"book","venue":"SpringerBriefs in mathematical physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Deformation (meteorology); Sigma; Physics; Geometry; Mathematics; Quantum mechanics; Meteorology","score_opus":0.04145695260085468,"score_gpt":0.28700899414578546,"score_spread":0.24555204154493077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3216586779","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.018966746,0.00043651342,0.30186307,0.000092961796,0.0015304361,0.0024320055,0.00006785065,0.00026739846,0.674343],"genre_scores_gemma":[0.5898696,0.00031711935,0.15894617,0.00055252534,0.006301567,0.00048162712,0.00041529522,0.0016279098,0.24148816],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963598,0.000046051005,0.0014841597,0.0005689248,0.0010180766,0.0005229341],"domain_scores_gemma":[0.9971109,0.00050138624,0.00073064945,0.001236695,0.00028645125,0.00013392865],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00043767953,0.0006709343,0.0016541941,0.00012267586,0.000061317834,0.00004967786,0.00060885533,0.00069430616,0.00020097649],"category_scores_gemma":[0.00017573981,0.0006278403,0.0005398501,0.0002284606,0.0001852069,0.00028876617,0.0004441767,0.0009298403,0.000039899478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019241565,0.00022844598,0.0000019596669,0.0029259978,0.000119741664,0.000013210546,0.0011431228,0.00067055074,0.000018824245,0.9931602,0.0011570804,0.00054163556],"study_design_scores_gemma":[0.0005658971,0.000050398838,0.0000021302449,0.0018765375,0.00015725115,0.000005868265,0.00004702709,0.021312578,0.00075262046,0.9743996,0.00026268075,0.00056737266],"about_ca_topic_score_codex":0.000006468751,"about_ca_topic_score_gemma":0.0000027249694,"teacher_disagreement_score":0.5709029,"about_ca_system_score_codex":0.00030845462,"about_ca_system_score_gemma":0.00038455843,"threshold_uncertainty_score":0.9996173},"labels":[],"label_agreement":null},{"id":"W3217675456","doi":"10.1007/s11005-021-01479-x","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn></mml:mrow> </mml:math> super topological recursion.","year":2021,"lang":"en","type":"article","venue":"PubMed","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Formalism (music); Recursion (computer science); Algorithm; Generalization; Mathematics; Computer science; Topology (electrical circuits); Combinatorics; Mathematical analysis","score_opus":0.028862038510757707,"score_gpt":0.24538109610157618,"score_spread":0.21651905759081846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3217675456","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8763167,0.00083625794,0.00035606144,0.0010155225,0.0034539225,0.00007961486,0.000112596084,0.0002846548,0.11754463],"genre_scores_gemma":[0.99142927,0.0004071173,0.0019766593,0.0013876162,0.0018732097,0.0016545864,0.00023712016,0.00032776478,0.0007066689],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9940085,0.00029137335,0.0011352717,0.0012335302,0.0015992435,0.0017320719],"domain_scores_gemma":[0.99566454,0.0011675998,0.0007317034,0.0015244168,0.00017313944,0.00073858385],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012066191,0.0005859877,0.00036318327,0.00017957787,0.0008532343,0.00067907956,0.0012522148,0.0015506783,0.022882076],"category_scores_gemma":[0.0023546666,0.0008512433,0.0010770975,0.0006263585,0.00066781824,0.0006070426,0.0013248485,0.0011304553,0.00068454427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034064718,0.00022634113,0.000009067091,0.00036293178,0.0005275758,0.00055812194,0.0008800905,0.00005399264,0.0002070663,0.9189157,0.074756294,0.0031621573],"study_design_scores_gemma":[0.0040804436,0.0012908159,0.0006311151,0.00074328657,0.0019123937,0.002464978,0.0036260309,0.022485655,0.7588951,0.16799772,0.03285376,0.0030186884],"about_ca_topic_score_codex":0.00026551116,"about_ca_topic_score_gemma":0.00018005993,"teacher_disagreement_score":0.75868803,"about_ca_system_score_codex":0.000026607846,"about_ca_system_score_gemma":0.0005282576,"threshold_uncertainty_score":0.99974555},"labels":[],"label_agreement":null},{"id":"W3217778040","doi":"","title":"Smooth Toric Quiver Varieties","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Quiver; Mathematics; Pure mathematics; Dimension (graph theory); Variety (cybernetics); Vector bundle; Toric variety; Statistics","score_opus":0.1005596068814498,"score_gpt":0.20861459885379902,"score_spread":0.10805499197234922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3217778040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95073795,0.00019115944,0.038107112,0.000035659923,0.0032897345,0.00027863242,0.0000109012835,0.00023499677,0.007113834],"genre_scores_gemma":[0.99416506,0.00015439442,0.00051663024,0.00004965001,0.00030675376,0.0000011728656,0.000018455925,0.000048374342,0.0047394917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998296,0.00012954502,0.0002280271,0.0008506333,0.0001417285,0.0003540145],"domain_scores_gemma":[0.9981037,0.00018800367,0.0002529143,0.0010857768,0.0002225549,0.00014708939],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001298464,0.00039783554,0.0005380877,0.00011788771,0.0001559051,0.00011275007,0.00071589963,0.0005401748,0.0005418809],"category_scores_gemma":[0.00010318283,0.0004417526,0.0003652979,0.00029862087,0.00010289289,0.00013798707,0.0013235122,0.000707889,0.000019617983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003317008,0.00007517965,0.0003781401,0.00016796036,0.00017439338,0.00021403031,0.0005036817,0.002853803,0.0000053809044,0.9945167,0.0009945849,0.00008300856],"study_design_scores_gemma":[0.00041701287,0.00002973494,0.00021017184,0.00007647902,0.00025683024,0.000002812912,0.0005041971,0.0018491049,0.000057470286,0.9950923,0.0010038525,0.00050008576],"about_ca_topic_score_codex":0.00023836805,"about_ca_topic_score_gemma":0.00004102089,"teacher_disagreement_score":0.043427106,"about_ca_system_score_codex":0.00027099877,"about_ca_system_score_gemma":0.0002600726,"threshold_uncertainty_score":0.9998034},"labels":[],"label_agreement":null},{"id":"W374973813","doi":"10.1016/j.aim.2018.10.014","title":"Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Saint Petersburg State University; Russian Foundation for Basic Research; Deutsche Forschungsgemeinschaft; Natural Sciences and Engineering Research Council of Canada; Ontario Trillium Foundation","keywords":"Mathematics; Subcategory; Pure mathematics; Flag (linear algebra); Isomorphism (crystallography); Type (biology); Functor; Field (mathematics); Algebraically closed field; Indecomposable module; Cohomology; Linear algebraic group; Algebraic group; Formal group; Algebra over a field; Algebraic number","score_opus":0.0314394548251977,"score_gpt":0.3525203735260196,"score_spread":0.3210809187008219,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W374973813","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97114426,0.0027109263,0.018900694,0.000047742175,0.0011385152,0.00087804336,0.000057342237,0.00006651915,0.005055963],"genre_scores_gemma":[0.87713087,0.00084790785,0.121736206,0.000006840452,0.000073865354,0.000038081784,0.00002074098,0.000045603334,0.00009988871],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979171,0.00008543106,0.0010691541,0.00035062083,0.00037119663,0.0002065034],"domain_scores_gemma":[0.99679637,0.001039021,0.00093214907,0.0008289744,0.00035182736,0.000051688083],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002868843,0.0003058052,0.00087614445,0.00020298573,0.000055435823,0.000022798313,0.00038850817,0.0002656935,0.00007596034],"category_scores_gemma":[0.00073153287,0.00028921757,0.00012437325,0.00026516282,0.00042283884,0.00013803448,0.0005428861,0.00032105242,0.0000013748753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000250445,0.00030446047,0.00065612287,0.003867108,0.00012248772,0.000002150958,0.0056118383,0.0003900727,0.000112488626,0.98860216,0.00008301058,0.00022307325],"study_design_scores_gemma":[0.0003149099,0.0000815302,0.00033389757,0.0008018868,0.00014277443,0.00000785562,0.00073530315,0.0015349986,0.0016383439,0.9941539,0.00002600716,0.00022856866],"about_ca_topic_score_codex":0.000020981368,"about_ca_topic_score_gemma":0.000030714305,"teacher_disagreement_score":0.10283551,"about_ca_system_score_codex":0.00003928485,"about_ca_system_score_gemma":0.000094010626,"threshold_uncertainty_score":0.999956},"labels":[],"label_agreement":null},{"id":"W4205958718","doi":"10.1016/j.aim.2012.09.012","title":"Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"> <mml:mi>K</mml:mi> </mml:math>","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Sanitarium Association; College of Natural Resources, University of California Berkeley; National Science Foundation","keywords":"Mathematics; Lie algebra; Affine Lie algebra; Adjoint representation; Pure mathematics; Algebra over a field; Lie conformal algebra; Simple Lie group; Current algebra","score_opus":0.022481005524461806,"score_gpt":0.28275775332037306,"score_spread":0.26027674779591126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4205958718","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99209726,0.0014241881,0.001872392,0.000045397057,0.0014132225,0.000198519,0.0000728012,0.00013765061,0.0027385924],"genre_scores_gemma":[0.9763182,0.00069452496,0.021727132,0.00016351602,0.00057817117,0.00013815185,0.00006373488,0.0001994555,0.000117112504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961584,0.00008478659,0.0012282794,0.00059539994,0.0009742229,0.0009588723],"domain_scores_gemma":[0.9957677,0.0015235939,0.0010555645,0.0012608687,0.00014259356,0.0002496936],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00073795504,0.00057923887,0.0006415438,0.00017469245,0.0003359818,0.00010279817,0.000762392,0.0005314831,0.00014724134],"category_scores_gemma":[0.0015204721,0.0006026139,0.00040323226,0.0005104665,0.00034563727,0.0010212185,0.0006617682,0.00057445694,0.00016701718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013366016,0.0005757818,0.00007498257,0.0009812142,0.00019718077,0.0000203594,0.0031685506,0.0006481888,0.00029645144,0.9929968,0.00031442253,0.00059238594],"study_design_scores_gemma":[0.0010782101,0.00039703446,0.000100906625,0.0007257973,0.0003156108,0.00007562075,0.0012531329,0.26922956,0.00659726,0.7184767,0.0010484982,0.0007016665],"about_ca_topic_score_codex":0.000039428058,"about_ca_topic_score_gemma":0.00003400764,"teacher_disagreement_score":0.27452013,"about_ca_system_score_codex":0.000047481062,"about_ca_system_score_gemma":0.00019506311,"threshold_uncertainty_score":0.99964255},"labels":[],"label_agreement":null},{"id":"W4206499892","doi":"10.1016/j.jalgebra.2013.03.025","title":"A family of representations of the Lie superalgebra<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mover accent=\"true\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">|</mml:mo><mml:mi>l</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>ˆ</mml:mo></mml:mover><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2013,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Humber Polytechnic","funders":"","keywords":"Mathematics; Irreducibility; Lie superalgebra; Pure mathematics; Semigroup; Action (physics); Algebra over a field; Affine Lie algebra","score_opus":0.019848427705775433,"score_gpt":0.24695544488711757,"score_spread":0.22710701718134213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4206499892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59874654,0.0048449105,0.0015944272,0.002390332,0.011160649,0.00027169488,0.0022218695,0.0008172522,0.37795234],"genre_scores_gemma":[0.96245676,0.005758415,0.006051793,0.0045506316,0.0086929295,0.0040376857,0.0033174078,0.004403321,0.00073103205],"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9585978,0.0028139339,0.00998202,0.0068067466,0.012147615,0.00965191],"domain_scores_gemma":[0.9639663,0.0072421874,0.012992355,0.008594776,0.0016300149,0.0055743433],"candidate_categories":["metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.007914902,0.0043092314,0.0019630466,0.0032092307,0.006218528,0.007387909,0.011877656,0.010863305,0.70609355],"category_scores_gemma":[0.008135012,0.008378631,0.010178965,0.006109685,0.007361134,0.007449668,0.009429583,0.008876414,0.004580136],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0058507198,0.0013545504,0.00006254745,0.0033627157,0.008432426,0.003353906,0.0049523585,0.0036580672,0.005800908,0.4703065,0.4896302,0.0032351112],"study_design_scores_gemma":[0.010094245,0.0063000815,0.00030065113,0.0055093067,0.009308029,0.008067315,0.00962563,0.01059474,0.91393334,0.013819913,0.005178107,0.0072686565],"about_ca_topic_score_codex":0.010484993,"about_ca_topic_score_gemma":0.005184664,"teacher_disagreement_score":0.90813243,"about_ca_system_score_codex":0.00013666265,"about_ca_system_score_gemma":0.008467787,"threshold_uncertainty_score":0.99973387},"labels":[],"label_agreement":null},{"id":"W4210345658","doi":"10.1007/s00220-021-04302-9","title":"Representations of the Planar Galilean Conformal Algebra","year":2022,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Galilean; Conformal map; Mathematics; Simple (philosophy); Pure mathematics; Primary field; Extension (predicate logic); Planar; Space (punctuation); Lie algebra; Algebra over a field; Virasoro algebra; Conformal field theory; Algebra representation; Mathematical physics; Mathematical analysis; Cellular algebra; Computer science","score_opus":0.07160132356288418,"score_gpt":0.34548641251561996,"score_spread":0.2738850889527358,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4210345658","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80738634,0.0003584589,0.02267028,0.0072372863,0.00097286666,0.0032954018,0.00016779233,0.00026708288,0.15764447],"genre_scores_gemma":[0.9927369,0.000006223694,0.0067879325,0.000095317344,0.000021617112,0.00015981824,0.000009457585,0.000018866416,0.00016389735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859715,0.0002557,0.00050067104,0.00011813612,0.0003695902,0.00015877959],"domain_scores_gemma":[0.99636775,0.0010165123,0.00023338574,0.0022975716,0.000055198074,0.000029575738],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034143773,0.000108598375,0.0002378119,0.000035273588,0.00038860147,0.000014146959,0.0016979936,0.000031995853,0.00016040265],"category_scores_gemma":[0.00030128882,0.00008751355,0.00012958194,0.0004809754,0.00026338454,0.00007664353,0.0010169126,0.00043673447,0.00000450169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004510187,0.00028210838,0.00018366144,0.00003149436,0.000018212648,1.4705604e-7,0.0017783634,0.00009028721,0.00003584652,0.9966627,0.0006899902,0.00022267303],"study_design_scores_gemma":[0.00026978663,0.00001718247,0.00022303799,0.000020155763,0.000025991783,0.000004373167,0.0011826974,0.0029169142,0.00016322275,0.9947263,0.0003582067,0.000092110415],"about_ca_topic_score_codex":0.000013554804,"about_ca_topic_score_gemma":0.0000045569,"teacher_disagreement_score":0.18535051,"about_ca_system_score_codex":0.00006752,"about_ca_system_score_gemma":0.000069562724,"threshold_uncertainty_score":0.3568699},"labels":[],"label_agreement":null},{"id":"W4210403204","doi":"10.21468/scipost.report.3566","title":"Report on 2009.11880v4","year":2021,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; Perimeter Institute","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada","keywords":"Computer science; Geography","score_opus":0.06547766528508539,"score_gpt":0.35865564837484754,"score_spread":0.2931779830897622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4210403204","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00013188313,0.04516507,0.0003529359,0.051097192,0.038778786,0.0014617862,0.00012237256,0.0004577743,0.8624322],"genre_scores_gemma":[0.000083758576,0.002728491,0.0011391486,0.005339642,0.0018917464,0.0000632085,0.00046380484,0.000098598335,0.9881916],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9972722,0.00007237401,0.0007642638,0.0006688425,0.00089885783,0.00032344062],"domain_scores_gemma":[0.9972237,0.00027558525,0.00044126954,0.0016002809,0.0003375579,0.00012161456],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036665812,0.00046426806,0.001131345,0.000057747515,0.00006826658,0.00005104026,0.00038534944,0.00046695716,0.010035178],"category_scores_gemma":[0.0012585461,0.00035331695,0.00047470222,0.00017343888,0.000025119169,0.00002556241,0.00018023717,0.0006553042,0.00011054042],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001552088,0.00003230993,2.792279e-7,0.0012801017,0.0000742159,0.00030135916,0.0000035301202,8.5606544e-8,9.302647e-8,0.2826057,0.71512586,0.0005748945],"study_design_scores_gemma":[0.00008311666,0.00002456796,6.457869e-7,0.0019920839,0.0001433731,0.0001395283,0.00000217061,5.6127124e-7,0.0000163599,0.3940911,0.60325193,0.00025453913],"about_ca_topic_score_codex":0.00006605699,"about_ca_topic_score_gemma":0.000024412795,"teacher_disagreement_score":0.1257594,"about_ca_system_score_codex":0.000088141715,"about_ca_system_score_gemma":0.00033454254,"threshold_uncertainty_score":0.9998919},"labels":[],"label_agreement":null},{"id":"W4210730839","doi":"10.1007/jhep01(2022)175","title":"Kondo line defects and affine Gaudin models","year":2022,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Krembil Foundation; Government of Canada; Ministero dello Sviluppo Economico; Innovation, Science and Economic Development Canada","keywords":"Physics; Integrable system; Affine transformation; Ode; Line (geometry); Mathematical physics; Theoretical physics; Particle physics; Pure mathematics; Applied mathematics; Geometry; Mathematics","score_opus":0.024644057078106376,"score_gpt":0.24553994388922584,"score_spread":0.22089588681111946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4210730839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95556086,0.0005645256,0.042061064,0.00020414905,0.0010064336,0.000039131497,0.0000060240372,0.00001921442,0.0005385717],"genre_scores_gemma":[0.9972699,0.00007488773,0.001411062,0.00014906892,0.00079885876,0.000004174533,0.0000016471985,0.000030027162,0.00026032058],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888235,0.000072226,0.0003339032,0.00011507298,0.00043184403,0.00016458075],"domain_scores_gemma":[0.9990693,0.00016415189,0.00040517066,0.00016809587,0.00010900018,0.00008428226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015485841,0.00014322,0.00035080075,0.00005279457,0.00015560116,0.00002440607,0.00020245567,0.000035385747,0.0000505398],"category_scores_gemma":[0.000021620359,0.00012048791,0.00012719353,0.00015378611,0.000025615793,0.00015523614,0.00017800859,0.00025797932,1.6115767e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000069489586,0.00010076078,0.0000046636987,0.000011085994,0.000064624866,0.000022161075,0.00013468713,0.009793887,0.00017223053,0.9869166,0.0014420215,0.0012677816],"study_design_scores_gemma":[0.0009320504,0.00033417507,0.0000068929903,0.000011965736,0.00007345103,0.00008740825,0.000044361914,0.0010957327,0.0017749467,0.9947564,0.00075420376,0.00012841617],"about_ca_topic_score_codex":0.000020549105,"about_ca_topic_score_gemma":0.000001872906,"teacher_disagreement_score":0.041709065,"about_ca_system_score_codex":0.000061364255,"about_ca_system_score_gemma":0.00006299824,"threshold_uncertainty_score":0.49133542},"labels":[],"label_agreement":null},{"id":"W4212960452","doi":"10.1016/j.aim.2010.05.019","title":"Friezes","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Sherbrooke","funders":"","keywords":"Cluster algebra; Mathematics; Quiver; Laurent polynomial; Combinatorics; Vertex (graph theory); Conjecture; Euclidean geometry; Affine transformation; Discrete mathematics; Pure mathematics; Graph","score_opus":0.014150632718044199,"score_gpt":0.3162201431022615,"score_spread":0.3020695103842173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4212960452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93036586,0.00039649318,0.004844324,0.00012806723,0.0022504113,0.000336431,0.000002069039,0.00017440013,0.061501924],"genre_scores_gemma":[0.90136755,0.000097696146,0.09800119,0.000031416832,0.00016803516,0.000027656217,6.850145e-7,0.000030022069,0.0002757334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990226,0.000012476082,0.00033275044,0.00017191665,0.0002239349,0.00023629986],"domain_scores_gemma":[0.99889666,0.0004708316,0.000119517885,0.0004256393,0.000036997935,0.00005036621],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021624574,0.00015183615,0.00025139036,0.000060630486,0.000048165624,0.00002404875,0.00029363832,0.00010144782,0.00022751013],"category_scores_gemma":[0.0005895373,0.00012483004,0.000054683383,0.00015827693,0.00007281282,0.0002313413,0.000062090745,0.00031882472,0.0000224094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025401282,0.00007430064,0.00022205876,0.00008151027,0.0000036435592,0.000003337048,0.00053827063,0.000005505253,0.00015812035,0.9960523,0.000075118325,0.0027832447],"study_design_scores_gemma":[0.00025380426,0.000014114508,0.00006208181,0.000030357185,0.0000074746054,0.00001033511,0.00019815296,0.00034147632,0.0006306501,0.9937633,0.0045330077,0.00015522173],"about_ca_topic_score_codex":0.000001241802,"about_ca_topic_score_gemma":0.000064950866,"teacher_disagreement_score":0.09315687,"about_ca_system_score_codex":0.000013054954,"about_ca_system_score_gemma":0.000018560097,"threshold_uncertainty_score":0.50904214},"labels":[],"label_agreement":null},{"id":"W4212966934","doi":"10.1090/proc/15811","title":"Braid group and 𝑞-Racah polynomials","year":2021,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.014961267602216891,"score_gpt":0.2594220409843397,"score_spread":0.2444607733821228,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4212966934","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9919957,0.00066491857,0.00029538167,0.002849251,0.0002698563,0.0004630755,0.000020928977,0.000063148815,0.0033777435],"genre_scores_gemma":[0.97765297,0.0003545108,0.019731887,0.00089562853,0.0003653549,0.000025093399,7.9076665e-7,0.000087964356,0.0008857947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969815,0.00003825215,0.0009362698,0.0006137366,0.00080958713,0.00062065315],"domain_scores_gemma":[0.9969825,0.000758556,0.0012635759,0.00040231264,0.00034899247,0.000244039],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00063489977,0.00048623682,0.0013492705,0.000020907333,0.00032853908,0.00020515583,0.00069297716,0.00020624482,0.00017215982],"category_scores_gemma":[0.0012426572,0.00035085087,0.00088681414,0.0007173612,0.0015532796,0.00018300489,0.0012033717,0.00057057856,0.000009297012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003830817,0.00039064424,0.0007937989,0.0020840375,0.00053566834,7.948817e-7,0.0044551245,2.4046514e-7,0.015028293,0.97097313,0.0046690977,0.0010308871],"study_design_scores_gemma":[0.0006006013,0.00014384497,0.0009471186,0.0004951659,0.0005218276,0.00006913145,0.0071516316,0.0005305216,0.011442057,0.97730386,0.00036618626,0.0004280477],"about_ca_topic_score_codex":0.000022762828,"about_ca_topic_score_gemma":5.3110256e-7,"teacher_disagreement_score":0.019436505,"about_ca_system_score_codex":0.00010089528,"about_ca_system_score_gemma":0.000105970816,"threshold_uncertainty_score":0.9998943},"labels":[],"label_agreement":null},{"id":"W4213105989","doi":"10.1017/9781316678664","title":"Factorization Algebras in Quantum Field Theory","year":2021,"lang":"en","type":"book","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":72,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Factorization; Operator product expansion; Noether's theorem; Operator algebra; Conformal field theory; Pure mathematics; Algebra over a field; Tensor product; Quantum field theory; Theoretical physics; Gauge theory; Associative property; Physics; Conformal map; Homogeneous space; Mathematics; Mathematical physics; Geometry","score_opus":0.02652934056374684,"score_gpt":0.23297804370887878,"score_spread":0.20644870314513195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4213105989","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0033440234,0.00016536743,0.003985728,0.000012433183,0.0012198379,0.00043651785,0.00004760754,0.00012665441,0.99066186],"genre_scores_gemma":[0.013831068,0.000044469805,0.00007075927,0.000077986355,0.000254999,0.0000014125266,0.000067573936,0.000057691224,0.98559403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984458,0.00018670896,0.0002654531,0.00049340795,0.00031041534,0.00029821479],"domain_scores_gemma":[0.9982949,0.0005979191,0.00023594346,0.000608412,0.00013186046,0.00013097993],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00013932651,0.00036321304,0.0005445502,0.00016650216,0.00010259468,0.00004835796,0.00048180713,0.0006688684,0.00002116578],"category_scores_gemma":[0.00019282765,0.00041797594,0.00021407536,0.000028251776,0.00006782917,0.0000786149,0.0003442353,0.0006460673,0.000002295842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006835785,0.00001706822,0.0000025877962,0.00015764935,0.00008549477,0.00018039123,0.00014086875,0.0000015010984,0.000006799675,0.9552411,0.04389842,0.0001997602],"study_design_scores_gemma":[0.0019099087,0.00013720164,0.000019753254,0.0008426005,0.00043317492,0.000017588512,0.00030010194,0.00012607576,0.0013893525,0.437119,0.5563506,0.0013546166],"about_ca_topic_score_codex":0.00006395071,"about_ca_topic_score_gemma":0.000004378536,"teacher_disagreement_score":0.5181221,"about_ca_system_score_codex":0.0003658487,"about_ca_system_score_gemma":0.00047869064,"threshold_uncertainty_score":0.9998272},"labels":[],"label_agreement":null},{"id":"W4214508221","doi":"10.1016/j.jpaa.2005.04.007","title":"On bimeasurings","year":2005,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Covariance and contravariance of vectors; Coalgebra; Mathematics; Functor; Bialgebra; Hopf algebra; Pure mathematics; Algebra over a field; Interpretation (philosophy); Dual (grammatical number); Computer science; Linguistics","score_opus":0.019003109386053985,"score_gpt":0.254338705531797,"score_spread":0.235335596145743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4214508221","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9940142,0.00016575598,0.00032174462,0.0005582255,0.00019541303,0.00006751508,4.369377e-7,0.000013858769,0.004662874],"genre_scores_gemma":[0.9970833,0.000021100863,0.0016075877,0.00037272196,0.00079879066,0.00000137008,1.097865e-7,0.000016016249,0.00009897068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915093,0.00001127807,0.00031005664,0.00009486549,0.00028967106,0.0001431917],"domain_scores_gemma":[0.99936515,0.000127322,0.0002435869,0.00011265183,0.00004756417,0.00010373905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021727255,0.00012328957,0.00025200096,0.00007168801,0.00006385203,0.000037188336,0.00013313914,0.000077846766,0.00008451493],"category_scores_gemma":[0.000044319568,0.00008709184,0.00007871316,0.00006321243,0.000024925126,0.00006832592,0.000025904877,0.00025050621,0.000007547777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006675154,0.000051411967,0.000010723614,0.000012445175,0.000040645893,0.000003210444,0.00021436352,0.00001006055,0.0004700391,0.98650587,0.0037973505,0.008817119],"study_design_scores_gemma":[0.00076416315,0.00011367928,0.0001225568,0.000029203053,0.00003766992,0.000051286017,0.000057572495,0.00000554839,0.0038071913,0.99240565,0.0025007394,0.00010476422],"about_ca_topic_score_codex":2.4872145e-7,"about_ca_topic_score_gemma":5.6813366e-7,"teacher_disagreement_score":0.008712355,"about_ca_system_score_codex":0.000022206586,"about_ca_system_score_gemma":0.00002368325,"threshold_uncertainty_score":0.3551502},"labels":[],"label_agreement":null},{"id":"W4221156291","doi":"10.1007/jhep05(2022)169","title":"Non-perturbative phase structure of the bosonic BMN matrix model","year":2022,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Science and Technology Facilities Council; Ministry of Colleges and Universities; Dublin Institute for Advanced Studies; University of Liverpool; Science and Engineering Research Board; Government of Canada; Council of Scientific and Industrial Research, India; Institut Périmètre de physique théorique; Indian Institute of Science Education and Research Mohali; Innovation, Science and Economic Development Canada; Indian Institute of Science","keywords":"Gaussian; Lattice (music); Physics; Phase transition; Deformation (meteorology); Computation; Phase (matter); Mathematical physics; Matrix (chemical analysis); Statistical physics; Condensed matter physics; Quantum mechanics; Mathematics; Materials science; Algorithm","score_opus":0.014871284399113243,"score_gpt":0.27614740223239137,"score_spread":0.26127611783327814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221156291","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9720697,0.0001315501,0.026312103,0.0001514241,0.0010971859,0.00007403042,0.000050088605,0.000007187329,0.00010674111],"genre_scores_gemma":[0.99795884,0.000010093883,0.001191696,0.00010796893,0.00042829165,0.000002524395,0.0000016176282,0.000032283086,0.00026668326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839425,0.00008223534,0.0005100431,0.00011733388,0.0007199596,0.00017615859],"domain_scores_gemma":[0.998238,0.00011770493,0.001039925,0.00034231378,0.00020543356,0.00005659373],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000095174226,0.00017812804,0.00043544912,0.000041691605,0.00019938182,0.000014818144,0.0006190422,0.000052463452,0.0000661433],"category_scores_gemma":[0.000031227155,0.00011533136,0.00031719168,0.0002565635,0.00005411096,0.00011903057,0.00022627391,0.00043325083,7.300103e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114583025,0.00017446581,0.0000037198674,0.000019873556,0.00016829636,0.0000034136879,0.00061928056,0.041000582,0.0019859637,0.954385,0.0013216387,0.00020319324],"study_design_scores_gemma":[0.0014843898,0.00024564858,0.0000050513845,0.000021291109,0.00012953495,0.000030651743,0.00012440133,0.0076203854,0.018148841,0.9719627,0.00010610419,0.00012100564],"about_ca_topic_score_codex":0.000019476072,"about_ca_topic_score_gemma":0.0000014959355,"teacher_disagreement_score":0.0333802,"about_ca_system_score_codex":0.0001225055,"about_ca_system_score_gemma":0.00026026863,"threshold_uncertainty_score":0.47030762},"labels":[],"label_agreement":null},{"id":"W4224226467","doi":"10.1142/s0217751x22500385","title":"The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz","year":2022,"lang":"en","type":"article","venue":"International Journal of Modern Physics A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Agence Nationale de la Recherche","keywords":"Bethe ansatz; Physics; Eigenvalues and eigenvectors; Basis (linear algebra); Ansatz; Mathematical physics; Algebra over a field; Theoretical physics; Pure mathematics; Quantum mechanics; Integrable system; Mathematics; Geometry","score_opus":0.03161688355335378,"score_gpt":0.3093478576685728,"score_spread":0.277730974115219,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4224226467","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8891382,0.0024812827,0.05615897,0.045892097,0.0033455046,0.00048222602,0.000027062884,0.000031616753,0.0024430233],"genre_scores_gemma":[0.9982009,0.000037866022,0.00070132583,0.00029894197,0.00059757935,0.0000065219474,6.413206e-7,0.000016948814,0.000139296],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983417,0.000153906,0.0003776731,0.0000979752,0.000893093,0.00013570164],"domain_scores_gemma":[0.99832046,0.000817421,0.00039970662,0.00014539713,0.00027163996,0.000045365083],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007990566,0.00010594103,0.0001879709,0.000026385036,0.00046772015,0.00025993964,0.00066557096,0.000021187532,0.000014254358],"category_scores_gemma":[0.00011476078,0.000057486588,0.00013683151,0.00006379639,0.00018766183,0.00009820642,0.0002604265,0.0004382954,3.354917e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026783822,0.00007066283,0.00003599703,0.000002854924,0.0003087439,0.000009290475,0.0013876706,0.00036893247,0.000043670712,0.96678674,0.00064582215,0.030071793],"study_design_scores_gemma":[0.0016751137,0.00004735443,0.000016348167,0.000013865484,0.000058887716,0.00010900786,0.00015171463,0.030332185,0.000029668658,0.96585685,0.0016429012,0.00006611327],"about_ca_topic_score_codex":0.000009908415,"about_ca_topic_score_gemma":0.0000011537942,"teacher_disagreement_score":0.109062664,"about_ca_system_score_codex":0.00008354209,"about_ca_system_score_gemma":0.00011972874,"threshold_uncertainty_score":0.35973725},"labels":[],"label_agreement":null},{"id":"W4225611135","doi":"10.1007/s00220-022-04602-8","title":"A Kazhdan–Lusztig Correspondence for $$L_{-\\frac{3}{2}}(\\mathfrak {sl}_3)$$","year":2023,"lang":"en","type":"preprint","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Australian Research Council; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Vertex operator algebra; Mathematics; Representation theory; Conjecture; Tensor product; Combinatorics; Vertex (graph theory); Abelian category; Abelian group; Pure mathematics; Affine Lie algebra; Algebra over a field; Current algebra","score_opus":0.3182232471917289,"score_gpt":0.44820836729270574,"score_spread":0.12998512010097685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225611135","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.076162204,0.0014992359,0.878127,0.005976271,0.005204301,0.0136729125,0.00074762676,0.002765746,0.015844733],"genre_scores_gemma":[0.68152714,0.00045952445,0.30748802,0.0002586035,0.0007786967,0.005332634,0.00031533604,0.0005294576,0.003310575],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959912,0.00033832938,0.0015034883,0.0008106749,0.0006550462,0.0007013023],"domain_scores_gemma":[0.9839912,0.007946322,0.0006458093,0.006858254,0.00038729538,0.00017112863],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012480723,0.0007097832,0.0013598003,0.00019806744,0.000365679,0.00023221459,0.004603105,0.00072073523,0.000059192476],"category_scores_gemma":[0.0033857152,0.00070576667,0.0005879019,0.0005849222,0.0005053685,0.00014960735,0.0049841134,0.0018659339,0.00021473307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030976124,0.00057483144,0.000025629057,0.0012122003,0.000103748804,0.0000020195394,0.0014173051,0.00019550913,0.000014854824,0.99108756,0.0042178966,0.0011174927],"study_design_scores_gemma":[0.0005708754,0.000041124007,0.000028009934,0.0011646941,0.00016141693,0.0000031827683,0.0002789032,0.042939857,0.00007872646,0.95327663,0.0007974096,0.0006591656],"about_ca_topic_score_codex":0.000023730183,"about_ca_topic_score_gemma":0.000031951287,"teacher_disagreement_score":0.6053649,"about_ca_system_score_codex":0.00033237427,"about_ca_system_score_gemma":0.00035397615,"threshold_uncertainty_score":0.9995394},"labels":[],"label_agreement":null},{"id":"W4226299922","doi":"10.1088/1751-8121/ac7486","title":"Time and band limiting operator and Bethe ansatz","year":2022,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Bethe ansatz; Operator (biology); Limiting; Integrable system; Spectrum (functional analysis); Algebraic number; Mathematics; Shift operator; Mathematical physics; Connection (principal bundle); Ladder operator; Context (archaeology); Quantum mechanics; Physics; Mathematical analysis; Compact operator; Computer science; Chemistry","score_opus":0.012622266247555615,"score_gpt":0.2483908704986661,"score_spread":0.2357686042511105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226299922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99779576,0.00020224985,0.0006563924,0.0004851813,0.000064412015,0.00010103185,0.0000055702444,0.000009536217,0.00067988323],"genre_scores_gemma":[0.9971563,0.000021520988,0.0024432286,0.00010154103,0.00021938453,0.0000036578213,2.812796e-7,0.000021858525,0.00003219947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988005,0.00012694523,0.00039354176,0.00014281609,0.0003534169,0.00018275138],"domain_scores_gemma":[0.9985472,0.0009425964,0.000159238,0.000110853456,0.00006208353,0.00017806151],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067117455,0.0001548987,0.0004407171,0.000030488833,0.00021945655,0.00007506747,0.00011548277,0.000046758498,0.00029129552],"category_scores_gemma":[0.00027352708,0.0001078776,0.00007241624,0.00006908449,0.00045671733,0.000086736094,0.0002057362,0.00038062237,9.1306225e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050169518,0.000103676575,0.000015485344,0.00006541744,0.00005533502,0.0000145629065,0.0008282128,0.0000015767359,0.00035239483,0.9973505,0.000057640373,0.0011050048],"study_design_scores_gemma":[0.00062257226,0.00035406026,0.000010130615,0.000055260978,0.000111200105,0.00043032825,0.00033720155,0.002355861,0.00043257323,0.9951228,0.000036942034,0.00013110413],"about_ca_topic_score_codex":1.7990573e-7,"about_ca_topic_score_gemma":1.1899826e-8,"teacher_disagreement_score":0.0023542843,"about_ca_system_score_codex":0.000014724985,"about_ca_system_score_gemma":0.000026879892,"threshold_uncertainty_score":0.43991205},"labels":[],"label_agreement":null},{"id":"W4226363100","doi":"10.1007/jhep10(2022)187","title":"Duality defects in E8","year":2022,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Holomorphic function; Automorphism; Invertible matrix; Homogeneous space; Duality (order theory); Mathematics; Pure mathematics; Lattice (music); Invariant (physics); Vertex (graph theory); Algebra over a field; Discrete mathematics; Physics; Mathematical physics; Graph; Geometry","score_opus":0.02255535617957714,"score_gpt":0.26442088150883364,"score_spread":0.2418655253292565,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226363100","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99330723,0.00009682464,0.0047760517,0.00009525823,0.0012219808,0.000022784408,0.0000022066374,0.000008648324,0.0004690261],"genre_scores_gemma":[0.99888235,0.000009078489,0.000424204,0.0001324087,0.00044590453,0.0000036476865,8.391868e-7,0.000016591837,0.00008500142],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884534,0.00013702924,0.00035347018,0.00008414421,0.00043383395,0.00014615894],"domain_scores_gemma":[0.9991959,0.00016589557,0.00036666673,0.00016031115,0.000063544416,0.000047737438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024470087,0.00009730377,0.00028433208,0.000049168055,0.000080164464,0.0000131888455,0.00022896881,0.000028224029,0.000060878654],"category_scores_gemma":[0.0000404768,0.00008537088,0.00013384737,0.00020791356,0.00001595534,0.00009151476,0.000115106464,0.00027992603,2.8715357e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043632313,0.00014286226,0.00011598772,0.0000073623933,0.000029038383,0.00003445698,0.00017525858,0.001380297,0.00003980001,0.9964459,0.0009411089,0.0006442927],"study_design_scores_gemma":[0.0006677836,0.00014078424,0.00028044058,0.000008382853,0.000021090904,0.000029714189,0.00007187507,0.000030148449,0.0009454123,0.99674135,0.00097107864,0.00009196449],"about_ca_topic_score_codex":0.00005937916,"about_ca_topic_score_gemma":0.000006192181,"teacher_disagreement_score":0.005575105,"about_ca_system_score_codex":0.00012709775,"about_ca_system_score_gemma":0.00008493051,"threshold_uncertainty_score":0.34813234},"labels":[],"label_agreement":null},{"id":"W4230411205","doi":"10.4171/owr/2015/16","title":"Subfactors and Conformal Field Theory","year":2016,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Conformal map; Conformal field theory; Field (mathematics); Quantum electrodynamics; Mathematics; Theoretical physics; Physics; Pure mathematics; Mathematical analysis","score_opus":0.018902564202037692,"score_gpt":0.2683696723451225,"score_spread":0.2494671081430848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230411205","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9853362,0.000072144256,0.0019440019,0.00020278609,0.00076859415,0.00013556189,0.0000010564801,0.00008520496,0.01145447],"genre_scores_gemma":[0.9968701,0.000012310001,0.00023904991,0.00009816126,0.00011253008,0.000008819179,5.1996676e-7,0.000016623128,0.002641859],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990338,0.000030252571,0.00031397844,0.00021553657,0.00018921006,0.00021722968],"domain_scores_gemma":[0.9988997,0.00043733718,0.00016350846,0.00035869677,0.00004091682,0.00009983348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031625753,0.00013722402,0.00018806754,0.000031137228,0.00007541568,0.000025921723,0.000062824896,0.00011291622,0.0004807854],"category_scores_gemma":[0.00054842426,0.00008024115,0.000059527843,0.0000355308,0.000050316947,0.00013329703,0.00007324028,0.00007478794,0.0000040164923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000240023,0.000015209548,0.008552698,0.00001918391,0.00003506928,0.00008980371,0.00020414231,3.2121168e-8,0.0002983874,0.96818906,0.0015487103,0.021023722],"study_design_scores_gemma":[0.00019120277,0.000055200468,0.0018413606,0.000026014479,0.000020339687,0.00023785474,0.000032576234,8.539828e-7,0.005380474,0.987898,0.004169177,0.00014695131],"about_ca_topic_score_codex":0.000015240205,"about_ca_topic_score_gemma":0.0000034548323,"teacher_disagreement_score":0.020876773,"about_ca_system_score_codex":0.00001768845,"about_ca_system_score_gemma":0.000030293271,"threshold_uncertainty_score":0.5264263},"labels":[],"label_agreement":null},{"id":"W4230447722","doi":"10.1090/fic/045/01","title":"On translation quivers with weak sections","year":2005,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Translation (biology); Linguistics; Computer science; Mathematics; Philosophy; Biology; Genetics","score_opus":0.024440660808385042,"score_gpt":0.27241356058125027,"score_spread":0.24797289977286524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230447722","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000114518574,0.00003434469,0.0038955277,0.00007474543,0.00038457182,0.00024110911,0.0000056842414,0.0002945501,0.99495494],"genre_scores_gemma":[0.007722553,0.000014120641,0.0040437733,0.00005308053,0.0005569163,0.000013714582,0.0000075259313,0.0003008941,0.9872874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999416,0.000013089152,0.00008780206,0.00017937603,0.00019133002,0.00011240037],"domain_scores_gemma":[0.9996001,0.00005633858,0.000073318304,0.0002233909,0.000010639983,0.000036189707],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000019187975,0.00017504167,0.0001756571,0.000101982645,0.000034837078,0.000014068076,0.00007765653,0.00020563047,0.010950005],"category_scores_gemma":[0.000004661256,0.00012287729,0.00005498463,0.00006928116,0.000020298517,0.000016333344,0.00000435835,0.00013673671,0.00005499487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001201874,0.00002019617,4.198209e-7,0.0000150079795,0.000056417834,4.1170262e-7,0.000040820953,0.00001302551,2.830627e-7,0.75317574,0.24578132,0.0008843536],"study_design_scores_gemma":[0.00076685776,0.0001417032,0.0000025818827,0.00012734486,0.00009894829,0.0000042090915,0.000054139156,0.00002756315,0.000014893595,0.50764376,0.49079928,0.0003187105],"about_ca_topic_score_codex":0.000086190135,"about_ca_topic_score_gemma":0.00054840435,"teacher_disagreement_score":0.24553196,"about_ca_system_score_codex":0.000029824898,"about_ca_system_score_gemma":0.000026136853,"threshold_uncertainty_score":0.9899541},"labels":[],"label_agreement":null},{"id":"W4233069510","doi":"10.1143/ptp.102.229","title":"Fractional-Level Kac-Moody Algebras and Nonunitary Coset Conformal Theories","year":2013,"lang":"en","type":"article","venue":"Progress of Theoretical Physics Supplement","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Coset; Conformal map; Mathematics; Pure mathematics; Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.02088274116774833,"score_gpt":0.29121283349190064,"score_spread":0.2703300923241523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4233069510","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96894157,0.00029461764,0.01951061,0.003839725,0.0007711178,0.0021462417,0.0003756958,0.00013871395,0.003981708],"genre_scores_gemma":[0.9908755,0.000012196682,0.008539156,0.00010181615,0.0002085078,0.00015128571,0.0000584613,0.000031004496,0.000022087534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983494,0.00007427988,0.0004418485,0.0002503978,0.0005119756,0.0003720782],"domain_scores_gemma":[0.99860936,0.00047621137,0.00017752178,0.0003514943,0.00023788532,0.00014754126],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002221055,0.00025977433,0.00038007926,0.000032292257,0.00012908102,0.000067659115,0.00026921183,0.0000743393,0.0018843972],"category_scores_gemma":[0.0000809667,0.00020192914,0.000107003114,0.00008535362,0.0010520418,0.00024642708,0.00029502643,0.00020169544,0.000013489591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059593825,0.00020446256,0.0006228118,0.000106139254,0.00011393465,9.781849e-7,0.00031348565,0.0000011182822,0.000035056804,0.99459386,0.0010964723,0.0028520816],"study_design_scores_gemma":[0.0007551712,0.00021715731,0.00027793454,0.0000339309,0.0000741298,0.00000394762,0.00033227587,0.00033535814,0.006042975,0.99153626,0.00015889516,0.00023199],"about_ca_topic_score_codex":0.000019254374,"about_ca_topic_score_gemma":6.606788e-7,"teacher_disagreement_score":0.021933913,"about_ca_system_score_codex":0.000025025613,"about_ca_system_score_gemma":0.000039362392,"threshold_uncertainty_score":0.999028},"labels":[],"label_agreement":null},{"id":"W4236086133","doi":"10.21468/scipost.report.448","title":"Report on 1711.04568v2","year":2018,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Centre National d’Etudes Spatiales","keywords":"Computer science","score_opus":0.07136481250051632,"score_gpt":0.37010906263607124,"score_spread":0.29874425013555495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4236086133","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00016219371,0.005072357,0.00028212942,0.024978474,0.032299943,0.001372277,0.000051835723,0.0004653653,0.93531543],"genre_scores_gemma":[0.00020050944,0.0009049572,0.0012305808,0.004478416,0.0041434243,0.000069194335,0.00021466032,0.00011931173,0.98863894],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99723953,0.00005764782,0.0007743519,0.00066753133,0.00090686727,0.00035408844],"domain_scores_gemma":[0.997001,0.00024303969,0.0005479208,0.0017259556,0.00035360007,0.00012847717],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004926731,0.00050102634,0.001028558,0.0000730712,0.000088673056,0.00004124728,0.0005373729,0.0005208365,0.009478899],"category_scores_gemma":[0.0011252973,0.00035747272,0.00039419543,0.00012796128,0.000060997903,0.000029985402,0.00018253308,0.00050558144,0.0004495914],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000035457617,0.000026644864,2.897357e-7,0.0010333702,0.000067559864,0.00006020908,0.000005789838,2.1931555e-8,4.5937586e-8,0.23768622,0.76076996,0.00034634976],"study_design_scores_gemma":[0.000078565674,0.00006276684,5.9726494e-7,0.0013226143,0.00011567394,0.0000673906,9.541882e-7,7.1077943e-7,0.000008119397,0.45972353,0.53838277,0.00023628584],"about_ca_topic_score_codex":0.000059034217,"about_ca_topic_score_gemma":0.000021137823,"teacher_disagreement_score":0.22238716,"about_ca_system_score_codex":0.00009594561,"about_ca_system_score_gemma":0.0002031792,"threshold_uncertainty_score":0.9998877},"labels":[],"label_agreement":null},{"id":"W4240173654","doi":"10.1139/p01-026","title":"Role of democratic <i>SU2</i> x <sub><i>n</i></sub> dual-group carrier space and group structure in the superboson quantum-Liouville physics of identical spin ensembles: Maximal <sub><i>n</i></sub> tensor product reduction, via symbolic algebraic combinatorics","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Physics; Group (periodic table); Combinatorics; Bipartite graph; Quantum mechanics; Mathematics","score_opus":0.010692432195146715,"score_gpt":0.2211447075052917,"score_spread":0.210452275310145,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4240173654","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99631155,0.0012607832,0.0005877963,0.0003075883,0.00083241914,0.0005802704,0.000054023993,0.000013684261,0.00005187692],"genre_scores_gemma":[0.99843735,0.0002201051,0.00018020264,0.00009062533,0.00094341725,0.000010133519,0.000011977238,0.00010348455,0.0000027010785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99609214,0.0003580763,0.0013575114,0.00047411275,0.00091105717,0.00080709305],"domain_scores_gemma":[0.9968316,0.00025566242,0.0010353259,0.00071839977,0.000629523,0.0005294768],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006351352,0.0005843349,0.0011794049,0.00025117613,0.00027000738,0.0001025254,0.0005944915,0.0002684434,0.0000063270904],"category_scores_gemma":[0.00030325525,0.00049313315,0.00033439905,0.0012096938,0.00051510334,0.00049867865,0.00006688971,0.0009794853,9.245052e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013167282,0.00029328017,0.0026784677,0.0004050265,0.00027365808,0.00010883339,0.0055783945,0.00016635573,0.41788658,0.56835943,0.0009953225,0.0031229504],"study_design_scores_gemma":[0.0012342589,0.00041403645,0.0016532163,0.000247174,0.00031130135,0.0006449929,0.0016452869,0.00021715692,0.1882932,0.80487204,0.00004427036,0.00042304117],"about_ca_topic_score_codex":0.0006690955,"about_ca_topic_score_gemma":0.0011977308,"teacher_disagreement_score":0.2365126,"about_ca_system_score_codex":0.00022521436,"about_ca_system_score_gemma":0.0007231875,"threshold_uncertainty_score":0.99975204},"labels":[],"label_agreement":null},{"id":"W4240240906","doi":"10.4153/s0008439521000540","title":"Characterizations of right rejective chains","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Dimension (graph theory); Pure mathematics; Chain (unit)","score_opus":0.019121154839513967,"score_gpt":0.2540432257410175,"score_spread":0.23492207090150355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4240240906","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8254497,0.00012999288,0.011866162,0.01124219,0.0007393946,0.00067876076,0.00014245322,0.00012691406,0.1496244],"genre_scores_gemma":[0.9910747,0.000004778352,0.0032084552,0.00035650513,0.00011580102,0.000022942573,0.000014072124,0.000033528042,0.005169252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988468,0.00006624532,0.00036105746,0.00021913194,0.00019860428,0.0003081595],"domain_scores_gemma":[0.9986306,0.0003155463,0.00009765934,0.0004142646,0.00021420894,0.0003277529],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00013599319,0.00014832483,0.00034450158,0.00008149818,0.00010416442,0.000026703061,0.00017385466,0.00012997689,0.02284594],"category_scores_gemma":[0.001120887,0.0001367786,0.00011466926,0.00021417237,0.0000822851,0.000020790118,0.0000392759,0.00014498911,0.00044607182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000020719076,0.00004206758,0.000013166657,0.00007914287,0.0000353103,0.00003485424,0.00032177937,3.970872e-7,0.00014873172,0.99619234,0.0030497962,0.000080349404],"study_design_scores_gemma":[0.0002083084,0.000018871368,0.00012490428,0.0000860694,0.000036879537,0.000034162367,0.00013803417,0.000053323405,0.0024645324,0.9849752,0.0116964895,0.00016318499],"about_ca_topic_score_codex":0.00015154631,"about_ca_topic_score_gemma":0.00037563508,"teacher_disagreement_score":0.16562493,"about_ca_system_score_codex":0.00009585891,"about_ca_system_score_gemma":0.00036045778,"threshold_uncertainty_score":0.9780473},"labels":[],"label_agreement":null},{"id":"W4242977591","doi":"10.1090/conm/543/10731","title":"The construction of Hecke algebras associated to a Coxeter group","year":2011,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Coxeter group; Mathematics; Coxeter complex; Artin group; Pure mathematics; Group (periodic table); Hecke algebra; Point group; Coxeter element; Algebra over a field; Combinatorics; Chemistry","score_opus":0.04065182824774115,"score_gpt":0.283033992902713,"score_spread":0.24238216465497187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4242977591","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006362087,0.0010706784,0.083336376,0.00064810505,0.0017853023,0.006242673,0.00034494756,0.0016997749,0.89851004],"genre_scores_gemma":[0.086046346,0.00055717514,0.5389513,0.0011553625,0.0014578039,0.0014306704,0.00013218529,0.0050472324,0.36522198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99518186,0.00025039125,0.0018399208,0.0007476295,0.0011782054,0.0008019672],"domain_scores_gemma":[0.99292046,0.0019754595,0.0027310385,0.0017431803,0.00021654576,0.00041329564],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011321336,0.0010069584,0.0023619803,0.00013347973,0.00026927167,0.00011119202,0.0013060975,0.00060088176,0.0013181726],"category_scores_gemma":[0.0013515587,0.0007033371,0.0011407533,0.00075142237,0.0017471977,0.000078728335,0.00049930287,0.00069647195,0.0002010242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002123059,0.00041141635,0.000015697346,0.00070434035,0.0009987269,0.0000030126855,0.0018072082,4.9727415e-8,0.00001499986,0.6576303,0.33803663,0.00035638333],"study_design_scores_gemma":[0.00063058006,0.00034274053,0.000007224645,0.0011416549,0.00032024484,0.000015090108,0.0027043466,0.00014711068,0.000064473934,0.9669376,0.026831679,0.0008572327],"about_ca_topic_score_codex":0.00012004339,"about_ca_topic_score_gemma":0.000017847598,"teacher_disagreement_score":0.53328806,"about_ca_system_score_codex":0.0001603755,"about_ca_system_score_gemma":0.00021934921,"threshold_uncertainty_score":0.99959475},"labels":[],"label_agreement":null},{"id":"W4244536614","doi":"10.21468/scipost.report.2765","title":"Report on 1911.02031v2","year":2021,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; CERN; National Science Foundation; Vetenskapsrådet; Kavli Institute for Theoretical Physics, University of California, Santa Barbara; Simons Foundation","keywords":"Geography","score_opus":0.07075662952681967,"score_gpt":0.3634585442566832,"score_spread":0.29270191472986357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4244536614","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00016455718,0.02783782,0.00041205972,0.056551903,0.03841317,0.0014941329,0.00007870339,0.0004934037,0.8745543],"genre_scores_gemma":[0.00014964423,0.0022970124,0.0012693761,0.0054019894,0.0020018187,0.000068005735,0.0005145603,0.00010838772,0.9881892],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99722254,0.00007445262,0.00077227975,0.0006930586,0.0009197875,0.00031785978],"domain_scores_gemma":[0.9971609,0.00030152724,0.0004459192,0.0016368448,0.0003329901,0.00012178654],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003626841,0.0004734636,0.0011733904,0.000056198605,0.0000708811,0.00005313896,0.00039570202,0.00046467883,0.009898144],"category_scores_gemma":[0.0013595119,0.0003564764,0.00047915717,0.00017692479,0.000026469157,0.000024267822,0.00020526127,0.0006666414,0.00010984825],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000157444,0.000030187131,2.8873322e-7,0.0014560049,0.00007841221,0.00032200254,0.0000046510363,6.959003e-8,9.862542e-8,0.30919045,0.6882754,0.00064086134],"study_design_scores_gemma":[0.000085810534,0.000025209301,5.5882253e-7,0.0020889814,0.00015103146,0.0001463924,0.0000025540642,6.622277e-7,0.000015656293,0.39151663,0.6057056,0.00026092978],"about_ca_topic_score_codex":0.000060349394,"about_ca_topic_score_gemma":0.000024051262,"teacher_disagreement_score":0.11363496,"about_ca_system_score_codex":0.00009923436,"about_ca_system_score_gemma":0.00035047665,"threshold_uncertainty_score":0.9998887},"labels":[],"label_agreement":null},{"id":"W4244838720","doi":"10.1090/fic/045/05","title":"Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials","year":2005,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Tensor product; Chebyshev polynomials; Pure mathematics; Algebra over a field; Tensor product of Hilbert spaces; Mathematics; Product (mathematics); Tensor (intrinsic definition); Tensor contraction; Mathematical analysis; Geometry","score_opus":0.024571828467596098,"score_gpt":0.3050864269719676,"score_spread":0.2805145985043715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4244838720","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011032235,0.002132875,0.00012701862,0.00047175962,0.00092146324,0.0014096207,0.000057232963,0.00036164827,0.9834862],"genre_scores_gemma":[0.037727788,0.0002326459,0.009824597,0.00007461466,0.00153206,0.000043839133,0.0000132060495,0.00045594468,0.9500953],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852335,0.00004965669,0.0004522891,0.00047115865,0.0002808278,0.00022271997],"domain_scores_gemma":[0.9985917,0.00013753005,0.0003783139,0.0007503758,0.00005760864,0.000084460815],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00012165871,0.00031896026,0.00065738347,0.00018498543,0.000040940304,0.00002650442,0.00022598598,0.00026518627,0.0065301494],"category_scores_gemma":[0.00025389207,0.00025257823,0.000114710514,0.00011923074,0.000120941666,0.000039682127,0.000110006076,0.00015837199,0.000018131248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010539501,0.00006762067,0.00011487651,0.00021795265,0.00020823824,0.0000013310976,0.0002053776,2.6772224e-7,0.00016271573,0.48661092,0.51085794,0.0015422383],"study_design_scores_gemma":[0.0018434974,0.000121178964,0.00051201915,0.0004272004,0.0005568236,0.00004330395,0.0004233979,0.000012310334,0.0051096454,0.7326097,0.25708845,0.0012525131],"about_ca_topic_score_codex":0.000344939,"about_ca_topic_score_gemma":0.00009609809,"teacher_disagreement_score":0.2537695,"about_ca_system_score_codex":0.000019510866,"about_ca_system_score_gemma":0.00007190724,"threshold_uncertainty_score":0.99999267},"labels":[],"label_agreement":null},{"id":"W4247858921","doi":"10.21468/scipost.report.584","title":"Report on 1711.04568v3","year":2018,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Centre National d’Etudes Spatiales","keywords":"Computer science","score_opus":0.07203787962966603,"score_gpt":0.37049479855954354,"score_spread":0.2984569189298775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4247858921","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00021790774,0.005729268,0.0003190021,0.027527623,0.035555273,0.0015165075,0.000057106212,0.0005143056,0.928563],"genre_scores_gemma":[0.00021058445,0.0008882507,0.0012396341,0.004482183,0.0041664504,0.000069593785,0.00021191502,0.000119899254,0.98861146],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9972397,0.000057347497,0.00077363936,0.0006677375,0.0009072616,0.0003542778],"domain_scores_gemma":[0.9969975,0.00024544104,0.0005470743,0.0017272981,0.0003540689,0.00012862653],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00049255224,0.00050116907,0.0010290917,0.000073011,0.00008878126,0.00004127968,0.00053751975,0.0005215533,0.00916599],"category_scores_gemma":[0.0011181507,0.00035751457,0.00039349773,0.0001280838,0.000061023096,0.000029992125,0.00018252879,0.0005059451,0.00044359194],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000034033203,0.000025498783,2.7302062e-7,0.0009879431,0.00006463442,0.000057025194,0.0000056187964,2.094279e-8,4.4132637e-8,0.2717812,0.72662795,0.00044637543],"study_design_scores_gemma":[0.000078719466,0.00006288419,5.856284e-7,0.0013042651,0.00011582854,0.00006749532,9.720795e-7,7.164054e-7,0.000008176547,0.45942086,0.5387029,0.00023660637],"about_ca_topic_score_codex":0.00005935956,"about_ca_topic_score_gemma":0.000021367303,"teacher_disagreement_score":0.18792507,"about_ca_system_score_codex":0.000095979136,"about_ca_system_score_gemma":0.00019878757,"threshold_uncertainty_score":0.9998877},"labels":[],"label_agreement":null},{"id":"W4248160525","doi":"10.1090/fic/045/22","title":"Cohomology of tails and stable cohomology over Koszul quiver algebras","year":2005,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Quiver; Cohomology; Mathematics; Equivariant cohomology; Pure mathematics; De Rham cohomology; Čech cohomology; Group cohomology; Algebra over a field","score_opus":0.016491498832570877,"score_gpt":0.2829659705524872,"score_spread":0.2664744717199163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4248160525","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0141835725,0.002283998,0.00052097376,0.00007965836,0.001216273,0.0006509491,0.00005213323,0.00021539073,0.98079705],"genre_scores_gemma":[0.042945202,0.0004011539,0.004266419,0.00028530892,0.00079024537,0.000025553387,0.000017859275,0.0005124979,0.9507558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844235,0.00008754244,0.0004107266,0.0004420279,0.00023646884,0.00038087243],"domain_scores_gemma":[0.99866426,0.00023902049,0.0004032903,0.00054643117,0.000048541326,0.00009845023],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001289011,0.00038953644,0.00097514543,0.0001914617,0.000030637893,0.000012804015,0.00026708125,0.0008466905,0.039081622],"category_scores_gemma":[0.00007295689,0.00032372662,0.00010801022,0.00008574849,0.00029001452,0.00003503206,0.00020122495,0.0002476879,0.000030051035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016515643,0.000042922387,0.00012598919,0.000117722186,0.00020108737,0.000007120182,0.00007083381,1.4293516e-7,0.000012910895,0.71811813,0.2809128,0.0003738326],"study_design_scores_gemma":[0.001176604,0.00013619475,0.0000944447,0.00007433761,0.00018564427,0.000038850423,0.000051671726,0.000009205818,0.000154233,0.79822195,0.19941562,0.0004412235],"about_ca_topic_score_codex":0.0007511848,"about_ca_topic_score_gemma":0.00033442996,"teacher_disagreement_score":0.081497155,"about_ca_system_score_codex":0.000034964283,"about_ca_system_score_gemma":0.00008330202,"threshold_uncertainty_score":0.9999215},"labels":[],"label_agreement":null},{"id":"W4248172224","doi":"10.1090/fic/045/09","title":"Gentle algebras are Gorenstein","year":2005,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.02582347926109048,"score_gpt":0.2826042253798415,"score_spread":0.256780746118751,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4248172224","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000155996,0.0006891212,0.0004209053,0.00010620428,0.0012484706,0.00028195654,0.000013688026,0.00053294725,0.99655074],"genre_scores_gemma":[0.0016865483,0.000047587353,0.004271376,0.00019163126,0.0021640519,0.000016053473,0.000008590852,0.00063257257,0.9909816],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9988881,0.000023520613,0.00021653701,0.00031752867,0.00029124593,0.0002630835],"domain_scores_gemma":[0.9990319,0.00004334524,0.0002394578,0.0005760737,0.000019788558,0.000089444795],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000044242042,0.00032190655,0.00044195197,0.0001045368,0.000029297662,0.000030130896,0.00029480754,0.00044602,0.054428358],"category_scores_gemma":[0.000038237704,0.00025416518,0.00014990101,0.000072328476,0.00003629888,0.000016774244,0.00009221289,0.00019063066,0.0005307689],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001041131,0.000014665516,0.00000413542,0.000031823678,0.000047381694,0.0000026767284,0.000010704538,5.203299e-8,4.1225056e-7,0.45294255,0.5461493,0.00079521164],"study_design_scores_gemma":[0.0002163233,0.000009678525,0.0000044186095,0.00007698524,0.000040359526,0.0000031289412,0.000020806656,0.000003382947,0.000027407932,0.40357095,0.595771,0.00025555046],"about_ca_topic_score_codex":0.00007974882,"about_ca_topic_score_gemma":0.00020054734,"teacher_disagreement_score":0.05389759,"about_ca_system_score_codex":0.00003863156,"about_ca_system_score_gemma":0.000030605508,"threshold_uncertainty_score":0.99999106},"labels":[],"label_agreement":null},{"id":"W4249152516","doi":"10.1016/j.aim.2013.01.004","title":"Polynomial functors and categorifications of Fock space II","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Functor; Fock space; Pure mathematics; Adjoint functors; Algebra over a field; Natural transformation; Discrete mathematics","score_opus":0.014829343924076222,"score_gpt":0.27704752318735876,"score_spread":0.26221817926328256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4249152516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9897931,0.00088443904,0.0024719469,0.00017241953,0.0003188121,0.0004483179,0.0000029230735,0.00003897532,0.005869048],"genre_scores_gemma":[0.97048146,0.00018463942,0.0287547,0.000009470257,0.000051516105,0.000046484365,9.575731e-7,0.000020386366,0.00045037354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990848,0.00001805553,0.00039691257,0.00015626018,0.00016595943,0.00017803205],"domain_scores_gemma":[0.99898535,0.00036772553,0.00021076604,0.00032174846,0.00006476672,0.000049638817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010804091,0.00014178189,0.00029910743,0.000071220995,0.00006563187,0.000014627117,0.00016597005,0.00007365013,0.000104000785],"category_scores_gemma":[0.0002623648,0.00011734968,0.000039571598,0.00015546042,0.000096763695,0.00025029553,0.000086577194,0.000104308456,0.000005174628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000035958392,0.00013092805,0.00044265197,0.00025004326,0.000013345254,4.0837133e-7,0.0026090217,0.000022388509,0.00027439435,0.9940993,0.00057840656,0.0015755107],"study_design_scores_gemma":[0.00028971952,0.00004596218,0.00028900296,0.000046669276,0.00001700389,0.000004463335,0.0008688573,0.00056239334,0.0006610212,0.9963296,0.0007559708,0.00012933531],"about_ca_topic_score_codex":0.000025468938,"about_ca_topic_score_gemma":0.000012626915,"teacher_disagreement_score":0.026282754,"about_ca_system_score_codex":0.000022601482,"about_ca_system_score_gemma":0.000020589952,"threshold_uncertainty_score":0.4785381},"labels":[],"label_agreement":null},{"id":"W4250752966","doi":"10.4310/atmp.2021.v25.n3.a1","title":"The $\\mathcal{N}=2$ supersymmetric Calogero–Sutherland model and its eigenfunctions","year":2021,"lang":"en","type":"article","venue":"Advances in Theoretical and Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Eigenfunction; Mathematical physics; Physics; Supersymmetry; Mathematics; Eigenvalues and eigenvectors; Quantum mechanics","score_opus":0.01577135027898569,"score_gpt":0.2875767250600864,"score_spread":0.27180537478110073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4250752966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80703646,0.019379176,0.13781777,0.0022072203,0.00083226943,0.0009330727,0.000033008517,0.000189557,0.03157149],"genre_scores_gemma":[0.9952864,0.0017824048,0.0024147811,0.000114203016,0.00012597063,0.000039515297,0.0000015016828,0.000027535825,0.00020766383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986162,0.00008700481,0.00034343687,0.00032629876,0.0002698186,0.00035724684],"domain_scores_gemma":[0.9971647,0.0022484271,0.00005136766,0.00027754717,0.00011776341,0.00014017393],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026863048,0.00021749294,0.000375996,0.000022046344,0.00025129667,0.00007651997,0.00013969262,0.00010631853,0.000053558615],"category_scores_gemma":[0.0013539817,0.00013567561,0.00007223274,0.00027441527,0.00052057573,0.00016359557,0.00018433672,0.0002894487,0.000008605727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001918589,0.00009314625,0.000011687389,0.00010435156,0.000017246744,0.0000048258858,0.00023899067,0.00003021729,0.000037538153,0.99507743,0.000021314054,0.00434406],"study_design_scores_gemma":[0.000360338,0.00003538116,0.0000065122404,0.00004872102,0.000044998447,0.00001931053,0.00023090417,0.030985385,0.000352663,0.96760404,0.00013341085,0.00017836138],"about_ca_topic_score_codex":2.0738071e-7,"about_ca_topic_score_gemma":0.0000021869696,"teacher_disagreement_score":0.18824999,"about_ca_system_score_codex":0.000019834453,"about_ca_system_score_gemma":0.000035129447,"threshold_uncertainty_score":0.5532691},"labels":[],"label_agreement":null},{"id":"W4251023825","doi":"10.1017/9781316678626","title":"Factorization Algebras in Quantum Field Theory","year":2016,"lang":"en","type":"book","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":159,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Conformal field theory; Algebra over a field; Mathematics; Factorization; Pure mathematics; Abelian group; Field (mathematics); Quantum field theory; Vertex (graph theory); Conformal map; Geometry; Discrete mathematics; Graph; Mathematical physics; Algorithm","score_opus":0.023932943340927063,"score_gpt":0.23036988070363984,"score_spread":0.2064369373627128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4251023825","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0018414154,0.00006362268,0.00663677,0.000017288325,0.0011156821,0.0005039256,0.00006970317,0.00014891585,0.9896027],"genre_scores_gemma":[0.01749654,0.00003604957,0.000035443907,0.000058735146,0.00030952555,0.0000015693308,0.000019763338,0.000059398182,0.981983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985044,0.00015219668,0.0002618847,0.00046132572,0.000296208,0.000324001],"domain_scores_gemma":[0.9981707,0.0007287387,0.00026946596,0.0005935883,0.00010035035,0.00013720224],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015374711,0.00037272566,0.0004931096,0.00019757128,0.00009856147,0.0000306418,0.00056655036,0.000662155,0.000019411775],"category_scores_gemma":[0.00016178042,0.00035199887,0.00018827256,0.000017363316,0.00009004009,0.00009675787,0.00028980948,0.00045160728,0.000006333121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011667118,0.000011075264,0.0000027444473,0.000101840415,0.00006760162,0.0000616583,0.000086781896,2.4760465e-7,0.000008724556,0.9456838,0.05342935,0.000429537],"study_design_scores_gemma":[0.0014258113,0.000105309045,0.0000103298735,0.0005632321,0.00018566362,0.000005864871,0.000049785558,0.000022334823,0.0006568592,0.56761473,0.42857507,0.0007850289],"about_ca_topic_score_codex":0.000038800008,"about_ca_topic_score_gemma":0.0000021003816,"teacher_disagreement_score":0.37806904,"about_ca_system_score_codex":0.00040604983,"about_ca_system_score_gemma":0.00032071592,"threshold_uncertainty_score":0.9998932},"labels":[],"label_agreement":null},{"id":"W4253334608","doi":"10.1006/jabr.2002.9145","title":"Hopf Algebra Extensions Arising from Semi-Direct Products of Groups","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Killam Trusts","keywords":"Mathematics; Hopf algebra; Algebra over a field; Representation theory of Hopf algebras; Pure mathematics; Cohomology; Quasitriangular Hopf algebra; Group (periodic table); Quantum group; Filtered algebra; Division algebra","score_opus":0.04086296471468221,"score_gpt":0.26231807594919887,"score_spread":0.22145511123451667,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4253334608","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9941972,0.0027214193,0.000278661,0.0007897502,0.0011304569,0.00012904398,0.0000051933334,0.000027085713,0.00072120584],"genre_scores_gemma":[0.9923944,0.0002829119,0.0062956954,0.000105042214,0.000767637,0.0000011152956,6.807858e-7,0.000039980063,0.00011256679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798244,0.000104453575,0.00087433076,0.00022817471,0.000550976,0.00025962666],"domain_scores_gemma":[0.9976257,0.0005468784,0.000898286,0.00039244452,0.000377765,0.00015889033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000360405,0.00023046324,0.00068882015,0.00016341044,0.00010132774,0.00004583022,0.0002878298,0.00014754776,0.00025896222],"category_scores_gemma":[0.0010341061,0.00018143885,0.00019176776,0.00025445758,0.0000965927,0.0002758664,0.00010530995,0.00040489115,0.0000048368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030916935,0.0012979609,0.0026402725,0.0004283655,0.0017342598,0.0003355566,0.012328687,0.000050653503,0.03328484,0.86962044,0.05707593,0.020893859],"study_design_scores_gemma":[0.0009665714,0.00025916682,0.0017818146,0.00029528418,0.0002587251,0.00018539271,0.00027139045,0.00020461153,0.0088708885,0.9860467,0.0006102618,0.00024922358],"about_ca_topic_score_codex":0.0000190491,"about_ca_topic_score_gemma":0.0000020393343,"teacher_disagreement_score":0.11642622,"about_ca_system_score_codex":0.000042294334,"about_ca_system_score_gemma":0.000043610373,"threshold_uncertainty_score":0.73988616},"labels":[],"label_agreement":null},{"id":"W4253704770","doi":"10.1017/9781108762366.011","title":"Index","year":2020,"lang":"en","type":"paratext","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Index (typography); Computer science; World Wide Web","score_opus":0.03551814296005943,"score_gpt":0.2441526289832386,"score_spread":0.2086344860231792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4253704770","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0014029776,0.00011821825,0.0022718832,0.00003122751,0.0028391073,0.00043917762,0.00020001702,0.0001372365,0.99256015],"genre_scores_gemma":[0.022252157,0.000051145296,0.00012761545,0.0001141267,0.0007965462,0.0000015860048,0.000053937256,0.0000747472,0.97652817],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984038,0.0001138371,0.00021574965,0.0005587602,0.00035120462,0.0003566601],"domain_scores_gemma":[0.9986391,0.00013358494,0.00027020057,0.00059845485,0.00011848835,0.00024018988],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00004554352,0.00043029155,0.00063659856,0.00009486256,0.00017396979,0.00006227562,0.000848625,0.0005725178,0.000041490584],"category_scores_gemma":[0.000037239395,0.00047609076,0.0002830409,0.00003501297,0.00011581754,0.000055952674,0.00058619614,0.00074979424,0.00017562122],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005133527,0.000006889903,2.3483759e-7,0.00013569425,0.000100741,0.000043433272,0.00003618686,0.0000017624578,0.0000033611122,0.49252596,0.50703704,0.00005736539],"study_design_scores_gemma":[0.00075569766,0.000045948564,0.0000018509852,0.000089741676,0.00017587804,0.0000064583846,0.00006170532,0.00006349074,0.00034851147,0.00076384615,0.99716824,0.0005186019],"about_ca_topic_score_codex":0.00016795535,"about_ca_topic_score_gemma":4.5125574e-7,"teacher_disagreement_score":0.49176213,"about_ca_system_score_codex":0.00016618965,"about_ca_system_score_gemma":0.00019698884,"threshold_uncertainty_score":0.9997691},"labels":[],"label_agreement":null},{"id":"W4254308461","doi":"10.21468/scipost.report.607","title":"Report on 1711.04568v3","year":2018,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Centre National d’Etudes Spatiales","keywords":"Computer science","score_opus":0.07203787962966603,"score_gpt":0.37049479855954354,"score_spread":0.2984569189298775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4254308461","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00021790774,0.005729268,0.0003190021,0.027527623,0.035555273,0.0015165075,0.000057106212,0.0005143056,0.928563],"genre_scores_gemma":[0.00021058445,0.0008882507,0.0012396341,0.004482183,0.0041664504,0.000069593785,0.00021191502,0.000119899254,0.98861146],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9972397,0.000057347497,0.00077363936,0.0006677375,0.0009072616,0.0003542778],"domain_scores_gemma":[0.9969975,0.00024544104,0.0005470743,0.0017272981,0.0003540689,0.00012862653],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00049255224,0.00050116907,0.0010290917,0.000073011,0.00008878126,0.00004127968,0.00053751975,0.0005215533,0.00916599],"category_scores_gemma":[0.0011181507,0.00035751457,0.00039349773,0.0001280838,0.000061023096,0.000029992125,0.00018252879,0.0005059451,0.00044359194],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000034033203,0.000025498783,2.7302062e-7,0.0009879431,0.00006463442,0.000057025194,0.0000056187964,2.094279e-8,4.4132637e-8,0.2717812,0.72662795,0.00044637543],"study_design_scores_gemma":[0.000078719466,0.00006288419,5.856284e-7,0.0013042651,0.00011582854,0.00006749532,9.720795e-7,7.164054e-7,0.000008176547,0.45942086,0.5387029,0.00023660637],"about_ca_topic_score_codex":0.00005935956,"about_ca_topic_score_gemma":0.000021367303,"teacher_disagreement_score":0.18792507,"about_ca_system_score_codex":0.000095979136,"about_ca_system_score_gemma":0.00019878757,"threshold_uncertainty_score":0.9998877},"labels":[],"label_agreement":null},{"id":"W4254372016","doi":"10.1017/cbo9780511614309.007","title":"Tilting theory","year":2006,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Computer science","score_opus":0.028469455978491563,"score_gpt":0.21682332686377487,"score_spread":0.1883538708852833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4254372016","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00050450314,0.00009239595,0.001216565,0.0000038427083,0.0005275719,0.00031887798,0.00006565663,0.00023036999,0.9970402],"genre_scores_gemma":[0.005966288,0.000009178984,0.00020821783,0.000027373357,0.00038185535,4.6994745e-7,0.000019249821,0.00008785876,0.9932995],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986743,0.00004664805,0.00022873214,0.00044774404,0.00030877156,0.00029385084],"domain_scores_gemma":[0.9985635,0.00026454436,0.00030864394,0.0006347312,0.00012106299,0.0001075043],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00013453397,0.00041763525,0.0004805765,0.00011377224,0.00020741948,0.000039431037,0.0005172535,0.0005000463,0.000012004229],"category_scores_gemma":[0.000023581704,0.00045962178,0.00030354457,0.0000051897327,0.00016326495,0.000049016606,0.00037136106,0.0005115843,0.000008431226],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047859332,0.000005260674,2.1511208e-7,0.00007967389,0.00011465632,0.000110556226,0.000022873575,0.0000012701689,0.0000034876234,0.9442484,0.055003144,0.00036260666],"study_design_scores_gemma":[0.00058814674,0.00003205958,0.0000014535693,0.00018225033,0.00039254772,0.000014180785,0.00002043396,0.000017699176,0.00016051006,0.2241885,0.7737884,0.00061382755],"about_ca_topic_score_codex":0.000052642106,"about_ca_topic_score_gemma":7.0273893e-7,"teacher_disagreement_score":0.7200599,"about_ca_system_score_codex":0.00017352818,"about_ca_system_score_gemma":0.00007539557,"threshold_uncertainty_score":0.99978554},"labels":[],"label_agreement":null},{"id":"W4256305572","doi":"10.31219/osf.io/dk79b","title":"Truncations of W\\infinity Algebras","year":2020,"lang":"en","type":"preprint","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Dual polyhedron; Vertex (graph theory); Mathematics; Infinity; Symplectic geometry; Pure mathematics; Class (philosophy); Operator algebra; Relation (database); Operator (biology); Boundary (topology); Algebra over a field; Discrete mathematics; Mathematical analysis; Graph; Computer science","score_opus":0.11481665465499402,"score_gpt":0.3426280605915462,"score_spread":0.2278114059365522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4256305572","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69711214,0.00024987131,0.051790297,0.0052419105,0.0052761463,0.0017615798,0.00013446258,0.0007442151,0.23768938],"genre_scores_gemma":[0.9856965,0.000013293783,0.013157008,0.00010246856,0.00025178216,0.000029571918,0.00002013352,0.000031759046,0.0006974694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998758,0.00004599491,0.00046906466,0.0003127658,0.00028152132,0.0001326133],"domain_scores_gemma":[0.9986095,0.00018207816,0.00030706704,0.00067966897,0.00013453396,0.000087190725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000098714874,0.00021475628,0.00049791357,0.000046865876,0.000036730722,0.000021800814,0.00043602276,0.00028287043,0.0006664099],"category_scores_gemma":[0.00044745108,0.00018748103,0.00023747342,0.000093220864,0.000050969633,0.000022134529,0.0006603543,0.00042609245,0.000013211089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067718706,0.00003712528,0.000027105189,0.0002429995,0.00008862127,5.6513716e-7,0.0003468768,0.00001441274,0.000025318983,0.99334264,0.005695143,0.00017242714],"study_design_scores_gemma":[0.00015453358,0.000023855324,0.0001615334,0.000039678056,0.000090779286,4.7489996e-7,0.00005109184,0.00023947596,0.00085637654,0.9976242,0.00058058236,0.00017739752],"about_ca_topic_score_codex":0.0000923449,"about_ca_topic_score_gemma":0.000008970767,"teacher_disagreement_score":0.28858438,"about_ca_system_score_codex":0.000028437928,"about_ca_system_score_gemma":0.00020723983,"threshold_uncertainty_score":0.7645254},"labels":[],"label_agreement":null},{"id":"W4280493204","doi":"10.1007/s10468-022-10171-0","title":"Spin Chains as Modules over the Affine Temperley–Lieb Algebra","year":2022,"lang":"en","type":"preprint","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Morphism; Affine transformation; Combinatorics; Root of unity; Mathematics; Spin (aerodynamics); Physics; BETA (programming language); Quantum affine algebra; Algebra over a field; Pure mathematics; Cellular algebra; Quantum mechanics; Algebra representation","score_opus":0.027528736629367775,"score_gpt":0.3263379883850376,"score_spread":0.2988092517556698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4280493204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9852047,0.0020116144,0.0010020813,0.0011754862,0.0026575737,0.0012967753,0.000042357664,0.00022303467,0.006386365],"genre_scores_gemma":[0.9902896,0.00064470177,0.00030807595,0.00069013354,0.000948619,0.00037965638,0.000102777936,0.00012074869,0.006515665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996341,0.00077353686,0.00070236647,0.0009667237,0.00079099875,0.0004253733],"domain_scores_gemma":[0.996503,0.0012143154,0.00057264767,0.0014663986,0.000099739664,0.00014392012],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010077159,0.0005628809,0.0006440932,0.0001709729,0.0007063948,0.00027057293,0.0008086379,0.00036021415,0.0036867906],"category_scores_gemma":[0.00054783985,0.0003976747,0.0003556904,0.00023705485,0.00032660185,0.00012938441,0.0019780134,0.0011069095,0.00001406951],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010687414,0.00008085515,0.00027016387,0.00011153083,0.00034251597,0.000014984673,0.0027462884,0.000120395474,0.000060413702,0.98985124,0.0024168466,0.0038778703],"study_design_scores_gemma":[0.00064097595,0.000073261326,0.0036964964,0.00005644377,0.0002285144,0.000026185322,0.00232111,0.00029174975,0.00028020702,0.99071383,0.0011832954,0.00048791058],"about_ca_topic_score_codex":0.00028437548,"about_ca_topic_score_gemma":0.000016010254,"teacher_disagreement_score":0.00508491,"about_ca_system_score_codex":0.000093713796,"about_ca_system_score_gemma":0.00013556668,"threshold_uncertainty_score":0.99984753},"labels":[],"label_agreement":null},{"id":"W4281760202","doi":"10.1007/s00220-021-04297-3","title":"Correspondences of Categories for Subregular $${{\\mathcal {W}}}$$-Algebras and Principal $${\\mathcal {W}}$$-Superalgebras","year":2022,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Mathematics; Functor; Coset; Pure mathematics; Simple (philosophy); Discrete mathematics","score_opus":0.0837262591309234,"score_gpt":0.35015805745325,"score_spread":0.2664317983223266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4281760202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9788845,0.00060528907,0.017385913,0.0007680944,0.00020692105,0.0011807587,0.000055542878,0.00009262299,0.0008203342],"genre_scores_gemma":[0.96901613,0.000031499127,0.030043405,0.00005014981,0.00005376266,0.0006148348,0.000023395885,0.00004703862,0.000119804514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977797,0.0002964259,0.00080246234,0.00031630805,0.0004672498,0.00033783953],"domain_scores_gemma":[0.9953467,0.002623213,0.00026256364,0.001547221,0.00013273096,0.000087552],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00084221945,0.00026014194,0.0006302438,0.00010387503,0.0004663525,0.00004292409,0.0012914094,0.00009683661,0.000078923236],"category_scores_gemma":[0.0006290546,0.0002515413,0.00015885862,0.0004387144,0.0005997924,0.00016533292,0.0013000469,0.00045206843,0.0000020885805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057428737,0.00048380933,0.0003406425,0.00022370639,0.000039204795,7.4397195e-7,0.0027806712,0.000020808071,0.00012575938,0.9949195,0.00011023573,0.0008975085],"study_design_scores_gemma":[0.0006864724,0.0001479277,0.0001707074,0.000046373527,0.000060519815,0.000014610537,0.0014647848,0.0073381714,0.00029615656,0.989162,0.00035644203,0.00025583417],"about_ca_topic_score_codex":0.000014024224,"about_ca_topic_score_gemma":0.000007225733,"teacher_disagreement_score":0.0126574915,"about_ca_system_score_codex":0.00009657589,"about_ca_system_score_gemma":0.00013037241,"threshold_uncertainty_score":0.9999937},"labels":[],"label_agreement":null},{"id":"W4283770940","doi":"10.21468/scipostphys.15.3.079","title":"Anomalies and symmetry fractionalization","year":2023,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":65,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Ministry of Colleges and Universities; Government of Canada; Institut Périmètre de physique théorique; Simons Foundation","keywords":"Fractionalization; Symmetry (geometry); Physics; Theoretical physics; Mathematics; Geometry; Sociology; Ethnic group; Anthropology","score_opus":0.04618336811981643,"score_gpt":0.31950854674895024,"score_spread":0.2733251786291338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4283770940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99583507,0.000034694596,0.0011224953,0.00019732646,0.0005639067,0.00009001764,0.0000048070037,0.0001893758,0.001962281],"genre_scores_gemma":[0.998878,0.000016490847,0.00025946135,0.000056375447,0.00032525795,0.0000063327147,0.000012336807,0.000016084092,0.00042965056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949753,0.000015109117,0.000087726075,0.00012625409,0.00016103947,0.0001123244],"domain_scores_gemma":[0.99962735,0.00012782883,0.00004437216,0.00012660662,0.00004267195,0.0000311939],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0000657811,0.000073949166,0.000092355986,0.000027758992,0.0001161348,0.00003488667,0.000054665918,0.000039614075,0.000018418908],"category_scores_gemma":[0.00005812702,0.000067721216,0.000026082262,0.0002791998,0.000033541484,0.00011530871,0.000056830195,0.000054089232,0.000027820164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033219433,0.000009055964,0.00083556055,0.00002377698,0.0000149383895,7.0235427e-7,0.00019214026,0.000008767054,0.000084688814,0.9956754,0.0017825594,0.001369099],"study_design_scores_gemma":[0.00012166119,0.000014674756,0.0027411147,0.000009680129,0.00001313124,0.0000012928031,0.00007856956,0.00057387387,0.00053309696,0.99517816,0.00065345777,0.00008126635],"about_ca_topic_score_codex":0.00000457717,"about_ca_topic_score_gemma":8.1887214e-7,"teacher_disagreement_score":0.003042915,"about_ca_system_score_codex":0.000012043803,"about_ca_system_score_gemma":0.000015302256,"threshold_uncertainty_score":0.27615908},"labels":[],"label_agreement":null},{"id":"W4285224272","doi":"10.55730/1300-0098.3222","title":"Tensor products of graded-simple $\\mathfrak{sl}_2(\\mathbb{C})$-modules","year":2022,"lang":"en","type":"article","venue":"TURKISH JOURNAL OF MATHEMATICS","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland","keywords":"Mathematics; Tensor product; Simple (philosophy); Simple module; Torsion (gastropod); Combinatorics; Tensor (intrinsic definition); Pure mathematics; Algebra over a field","score_opus":0.04153167461111392,"score_gpt":0.28575546433686533,"score_spread":0.2442237897257514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4285224272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9954945,0.0006385416,0.0014269692,0.00028879617,0.0011374059,0.00039612062,0.000034613426,0.00004982497,0.0005332144],"genre_scores_gemma":[0.95561504,0.000036019363,0.043471,0.00006865662,0.00042408978,0.000015045543,0.000003702366,0.00008877198,0.0002776605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99603933,0.00016670137,0.0016984566,0.0002355825,0.0014480005,0.00041193684],"domain_scores_gemma":[0.99577606,0.000578139,0.0021868192,0.00068741024,0.0006213965,0.0001501854],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014129913,0.00034432788,0.0010762034,0.00026657188,0.00024547856,0.000046630743,0.0009973826,0.00009937007,0.00042698905],"category_scores_gemma":[0.0013129362,0.00028216853,0.00034612117,0.0005233255,0.000118209566,0.00018974682,0.000352094,0.0006770458,0.0000041983667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010161606,0.0014803833,0.00014728893,0.00126397,0.00043045823,0.000079588106,0.0069000567,0.0003114106,0.0025314416,0.96671194,0.01925816,0.00078366656],"study_design_scores_gemma":[0.0010381395,0.00047281315,0.00007035346,0.000114022056,0.00024733532,0.0010199441,0.0036033774,0.00023205609,0.0035123616,0.9867072,0.0026810095,0.00030136047],"about_ca_topic_score_codex":0.0000059663166,"about_ca_topic_score_gemma":6.7165024e-7,"teacher_disagreement_score":0.042044032,"about_ca_system_score_codex":0.00012993677,"about_ca_system_score_gemma":0.00021114484,"threshold_uncertainty_score":0.99996305},"labels":[],"label_agreement":null},{"id":"W4285742648","doi":"10.1017/fms.2022.49","title":"Quasi-solvable lattice models for and Demazure atoms and characters","year":2022,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Bijection; Symplectic geometry; Mathematics; Lattice (music); Partition (number theory); Combinatorics; Pure mathematics; Generating function; Partition function (quantum field theory); Physics; Quantum mechanics","score_opus":0.03080348298879243,"score_gpt":0.26711930763245245,"score_spread":0.23631582464366002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4285742648","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9582739,0.00043734853,0.038762886,0.0006117717,0.00027971683,0.00097260094,0.0000735952,0.000068212095,0.00051998027],"genre_scores_gemma":[0.96841246,0.000021696738,0.030859534,0.00010199794,0.000037193633,0.00015148996,0.000006564563,0.000053740452,0.00035531912],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998643,0.00003316492,0.00043522732,0.00025526693,0.0003242717,0.00030911728],"domain_scores_gemma":[0.9984619,0.0007377143,0.0003123065,0.00033336092,0.00006763638,0.00008709485],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004557187,0.00020324162,0.00047717494,0.000074747,0.00027991555,0.00003150808,0.00021135207,0.00007825973,0.000040485073],"category_scores_gemma":[0.00014373974,0.00018780348,0.00009281867,0.00009639057,0.000069401685,0.00014091084,0.0002962632,0.00014664925,3.2595622e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032196,0.0002060784,0.00003578152,0.00063212577,0.00006948959,9.06211e-7,0.0021889536,0.000028871978,0.00007305989,0.9958707,0.00063706044,0.00022477597],"study_design_scores_gemma":[0.0008082006,0.000350308,0.0000055718447,0.00004143333,0.000098364944,0.000029551396,0.002211472,0.032574777,0.000265333,0.9630409,0.0003748251,0.00019924867],"about_ca_topic_score_codex":0.000009810054,"about_ca_topic_score_gemma":0.0000031745737,"teacher_disagreement_score":0.032829784,"about_ca_system_score_codex":0.000029458362,"about_ca_system_score_gemma":0.000033788863,"threshold_uncertainty_score":0.76584035},"labels":[],"label_agreement":null},{"id":"W4286001880","doi":"10.1103/physrevd.106.025011","title":"Edge observables of the Maxwell-Chern-Simons theory","year":2023,"lang":"en","type":"article","venue":"e-Archivo (Carlos III University of Madrid)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"H2020 Marie Skłodowska-Curie Actions; Horizon 2020 Framework Programme; Universidad Carlos III de Madrid; Natural Sciences and Engineering Research Council of Canada; European Commission; Agencia Estatal de Investigación; Ministerio de Ciencia, Innovación y Universidades; Comunidad de Madrid","keywords":"Observable; Chern–Simons theory; Mathematics; Hamiltonian (control theory); Quantization (signal processing); Mathematical physics; Gauge theory; Fock space; Boundary value problem; Boundary (topology); Algebra over a field; Mathematical analysis; Physics; Pure mathematics; Quantum mechanics","score_opus":0.03399929946641936,"score_gpt":0.23542292124159622,"score_spread":0.20142362177517686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4286001880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9791354,0.000046450623,0.0008865729,0.0003159433,0.00052027794,0.00031560034,0.00005582487,0.00012571213,0.018598197],"genre_scores_gemma":[0.98953974,0.00005109094,0.00061204005,0.00002260926,0.000059115806,4.2179585e-7,0.0000074322884,0.000025124942,0.009682416],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872494,0.00018209817,0.00020985126,0.00023476192,0.0003749652,0.00027338567],"domain_scores_gemma":[0.99840623,0.0005344079,0.00022486802,0.00068554457,0.00007619693,0.000072749404],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031455338,0.0001698659,0.00034666352,0.00009662765,0.00022343146,0.0000076237125,0.0009170517,0.00010386371,0.00024785675],"category_scores_gemma":[0.00011852063,0.00014383714,0.00030108867,0.00038235338,0.00035113946,0.000077171026,0.0006081438,0.00021819663,0.000011731645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001844201,0.00008915474,0.0009435161,0.0001850622,0.0002046081,0.000012819366,0.004458095,0.00006178042,0.0009895538,0.979127,0.0126705775,0.001073432],"study_design_scores_gemma":[0.00090816437,0.000052737567,0.00620044,0.000121420424,0.00013430437,0.000002150855,0.0030054143,0.00015859825,0.0019527462,0.98366994,0.003615723,0.00017834175],"about_ca_topic_score_codex":0.00018107807,"about_ca_topic_score_gemma":0.000069044014,"teacher_disagreement_score":0.010404329,"about_ca_system_score_codex":0.00003566396,"about_ca_system_score_gemma":0.00009835015,"threshold_uncertainty_score":0.58655083},"labels":[],"label_agreement":null},{"id":"W4286493304","doi":"10.1112/blms.12711","title":"Symplectic resolutions, symplectic duality, and Coulomb branches","year":2022,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Symplectic geometry; Categorification; Mathematics; Quiver; Duality (order theory); Pure mathematics; Quantum cohomology; Symplectic representation; Symplectomorphism; Algebra over a field; Moment map; Cohomology","score_opus":0.025105873889937156,"score_gpt":0.2668597715740998,"score_spread":0.24175389768416264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4286493304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9777424,0.0008382861,0.0025248441,0.013397756,0.00056826393,0.001141307,0.000035349727,0.0001675987,0.003584202],"genre_scores_gemma":[0.9934541,0.000023994156,0.004277919,0.0005547809,0.000076825236,0.000101163256,0.0000012589104,0.000041281357,0.0014686807],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784464,0.00030186327,0.0005175512,0.0002976573,0.00070626155,0.00033200232],"domain_scores_gemma":[0.9976307,0.0013583286,0.00027161773,0.00059682736,0.000063182495,0.00007932758],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000987341,0.00021206944,0.00044343335,0.000017002423,0.00074529875,0.000036069003,0.0004913314,0.00009176455,0.0014944507],"category_scores_gemma":[0.0007179228,0.00015596749,0.00039541558,0.00022802927,0.0002940029,0.00001573755,0.0009256973,0.00042652577,0.000007010945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019405174,0.00018403436,0.0001459671,0.00039418717,0.00010605091,4.865445e-7,0.0011831784,0.000008413622,0.00008016253,0.9694174,0.028380532,0.0000801794],"study_design_scores_gemma":[0.0005999149,0.000076070166,0.00018829592,0.000042716485,0.00013082844,0.00005826462,0.0005287045,0.00032941456,0.00017600904,0.98951614,0.008172926,0.00018070552],"about_ca_topic_score_codex":0.000027429563,"about_ca_topic_score_gemma":0.0000011004502,"teacher_disagreement_score":0.020207608,"about_ca_system_score_codex":0.00012022568,"about_ca_system_score_gemma":0.000053750395,"threshold_uncertainty_score":0.9994183},"labels":[],"label_agreement":null},{"id":"W4287877486","doi":"10.5539/jmr.v14n4p94","title":"Correlation Functions of Quantum Toroidal gln Algebra","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Cégep Garneau","funders":"","keywords":"Mathematics; Toroid; Quantum; Quantum affine algebra; Quantum algebra; Algebra over a field; Series (stratigraphy); Analogy; Pure mathematics; Quantum mechanics; Current algebra; Physics; Cellular algebra; Algebra representation","score_opus":0.11870698598091153,"score_gpt":0.38952628748068574,"score_spread":0.2708193014997742,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4287877486","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9773121,0.00026873106,0.018779995,0.00033742527,0.0012433177,0.00028074,0.0000090464355,0.000014478257,0.0017541671],"genre_scores_gemma":[0.9961065,0.000017509718,0.0027771578,0.0000068684863,0.00021728428,0.000012193339,0.0000011956793,0.00003120395,0.000830105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960979,0.00034760387,0.0009471493,0.00011485448,0.0022067428,0.00028574944],"domain_scores_gemma":[0.99636936,0.0016649422,0.0006989103,0.0003554938,0.00080042955,0.00011088427],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003933902,0.00011637127,0.00041254712,0.00041588114,0.0003522261,0.00003477946,0.0005411223,0.00006918753,0.001070639],"category_scores_gemma":[0.0013653778,0.00009752339,0.0002186689,0.00050536654,0.00009820932,0.00013624539,0.00029275942,0.0009831985,0.000007378543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008307218,0.0005891272,0.00011233437,0.0001674763,0.000113544455,0.000014304884,0.0023661137,0.00056932674,0.0005939054,0.98492885,0.010176705,0.0002852552],"study_design_scores_gemma":[0.00061976485,0.00069190486,0.000061470964,0.00005100238,0.000043106855,0.00017659635,0.005524245,0.00595115,0.00027536874,0.9856342,0.0008814067,0.00008978502],"about_ca_topic_score_codex":0.000012272974,"about_ca_topic_score_gemma":0.0000013721315,"teacher_disagreement_score":0.018794382,"about_ca_system_score_codex":0.00022116513,"about_ca_system_score_gemma":0.0003025765,"threshold_uncertainty_score":0.9998425},"labels":[],"label_agreement":null},{"id":"W4288069994","doi":"10.1007/jhep07(2022)152","title":"New meromorphic CFTs from cosets","year":2022,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Indian Institute of Science Education and Research Pune; Indian Institute of Science Education and Research Mohali; McGill University","keywords":"Meromorphic function; Coset; Pure mathematics; Central charge; Lattice (music); Character (mathematics); Mathematics; Series (stratigraphy); Algebra over a field; Combinatorics; Physics; Mathematical analysis; Geometry; Conformal map; Geology","score_opus":0.021756439199638305,"score_gpt":0.2439527240360719,"score_spread":0.2221962848364336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4288069994","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8922147,0.0005719352,0.100439295,0.0004805378,0.0056474316,0.000052270996,0.00002671305,0.000036580015,0.0005305466],"genre_scores_gemma":[0.9943511,0.000019176527,0.0033522644,0.00020553867,0.0016981423,0.0000019760164,0.0000055750643,0.00003180682,0.00033443852],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986001,0.00009083433,0.00038566624,0.00011639396,0.0006437632,0.00016319155],"domain_scores_gemma":[0.9988024,0.000196583,0.00055493397,0.00023580622,0.00008768671,0.00012259201],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009835224,0.00014424045,0.00036800487,0.000037171667,0.00014497612,0.000026748188,0.00039586626,0.00003924058,0.00047574553],"category_scores_gemma":[0.000023946388,0.00012596302,0.00018678096,0.00015725226,0.000015408239,0.0001145353,0.00014891871,0.0003045563,0.0000014371719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006210749,0.00007810587,0.000013423672,0.0000022373915,0.0001483635,0.000037951297,0.00016782139,0.0005620229,0.00014194245,0.9763396,0.018949322,0.003497146],"study_design_scores_gemma":[0.00090766983,0.00019633,0.000056956284,0.000010746916,0.00009049021,0.000031777017,0.000045606772,0.00003704779,0.0018419855,0.9909241,0.0057231435,0.00013413808],"about_ca_topic_score_codex":0.00029196576,"about_ca_topic_score_gemma":0.000004410797,"teacher_disagreement_score":0.10213639,"about_ca_system_score_codex":0.00009710339,"about_ca_system_score_gemma":0.00018081057,"threshold_uncertainty_score":0.520908},"labels":[],"label_agreement":null},{"id":"W4288619376","doi":"10.48550/arxiv.1901.09855","title":"Generalized Minors and Tensor Invariants","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique","keywords":"Quiver; Mathematics; Pure mathematics; Moduli space; Tensor (intrinsic definition); Converse; Space (punctuation); Algebra over a field; Combinatorics; Geometry; Computer science","score_opus":0.1118798478355905,"score_gpt":0.21223770548804072,"score_spread":0.10035785765245021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4288619376","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9926827,0.00007503954,0.0033574698,0.000037762937,0.0011561365,0.0004232905,0.000018535113,0.00010122046,0.0021478352],"genre_scores_gemma":[0.99387884,0.00013975041,0.0005331928,0.000070414346,0.00014089048,8.1521796e-7,0.000009644019,0.000040316798,0.005186153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985714,0.0001025327,0.00019736351,0.0007577063,0.000084111474,0.0002868972],"domain_scores_gemma":[0.9985642,0.00015000759,0.00024123273,0.0008116793,0.000095192,0.00013768807],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00012183942,0.00034063612,0.00051232986,0.00012432749,0.00009045231,0.000057323105,0.00047156846,0.00045206439,0.00014650916],"category_scores_gemma":[0.00007950206,0.00034931357,0.00016449338,0.00013044909,0.00008631613,0.000085512955,0.0009563902,0.00043547826,0.000029398367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068964095,0.000034396944,0.0022248358,0.00017585,0.00016399343,0.00006504787,0.0001536581,0.0019626152,0.0000125746765,0.9942448,0.00084745314,0.00004578994],"study_design_scores_gemma":[0.001034191,0.000031420346,0.00068233046,0.00007182041,0.00021694404,0.000005094789,0.0000695639,0.011855007,0.000046545076,0.9853321,0.00022986584,0.00042514686],"about_ca_topic_score_codex":0.00016805132,"about_ca_topic_score_gemma":0.000016340002,"teacher_disagreement_score":0.009892392,"about_ca_system_score_codex":0.00009056898,"about_ca_system_score_gemma":0.0001052738,"threshold_uncertainty_score":0.9998959},"labels":[],"label_agreement":null},{"id":"W4290075541","doi":"10.1007/s10910-022-01385-0","title":"Pertubative corrections for Hartree-Fock-like algebraic Bethe ansatz analogue","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematical Chemistry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bethe ansatz; Algebraic number; Ansatz; Algebraic expression; Hartree–Fock method; Perturbation theory (quantum mechanics); Mathematical physics; Perturbation (astronomy); Mathematics; Møller–Plesset perturbation theory; Electron; Quantum mechanics; Quantum electrodynamics; Physics; Mathematical analysis; Integrable system","score_opus":0.035799023574761904,"score_gpt":0.29756023986409735,"score_spread":0.26176121628933546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4290075541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9438689,0.00029469273,0.04783087,0.0014831341,0.0015710078,0.00056327094,0.00009932372,0.000084529085,0.0042043077],"genre_scores_gemma":[0.988112,0.000006032312,0.008370626,0.00014666216,0.00063086546,0.00008200138,0.000007789857,0.00006149868,0.0025825335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997917,0.00007236462,0.0008331784,0.00020350891,0.0006610685,0.0003128636],"domain_scores_gemma":[0.9971237,0.0014374496,0.0006515567,0.00031874192,0.00027819825,0.00019032882],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00071037107,0.00023761437,0.0005949096,0.000058529826,0.00036641242,0.000044839202,0.00048879045,0.00011086473,0.0020708167],"category_scores_gemma":[0.0010814669,0.00019489638,0.0004901048,0.00020462472,0.00008574623,0.00009815988,0.0001403954,0.0006511233,0.000003069053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011035184,0.003872438,0.0001621172,0.0025825596,0.0020814708,0.00015212464,0.009121398,0.0005034757,0.018117124,0.8174356,0.14188275,0.0029854125],"study_design_scores_gemma":[0.0010525206,0.00026108726,0.00000693353,0.000058905476,0.00021485759,0.00041127967,0.0018181608,0.00086947635,0.0046349694,0.9871234,0.003316541,0.00023185032],"about_ca_topic_score_codex":9.715465e-7,"about_ca_topic_score_gemma":3.5186167e-7,"teacher_disagreement_score":0.16968781,"about_ca_system_score_codex":0.0002044972,"about_ca_system_score_gemma":0.0001754747,"threshold_uncertainty_score":0.9988414},"labels":[],"label_agreement":null},{"id":"W4292197766","doi":"10.1007/s00031-022-09752-6","title":"On an Equivalence of Divisors on $\\overline {\\text {M}}_{0,n}$ from Gromov-Witten Theory and Conformal Blocks","year":2022,"lang":"lv","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Hertz Foundation; Simons Foundation; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.01762451265771785,"score_gpt":0.25897984540065666,"score_spread":0.2413553327429388,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4292197766","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9881388,0.00016403322,0.0054003675,0.00021091917,0.00092472136,0.00074864,0.0005640694,0.00007518557,0.0037732846],"genre_scores_gemma":[0.9988459,0.00007679454,0.00009127723,0.0004453655,0.0001313233,0.000049811173,0.00018936154,0.000048264694,0.00012192862],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967615,0.00046286784,0.0009649523,0.00038495346,0.0010155821,0.0004101292],"domain_scores_gemma":[0.99785167,0.0008847374,0.0004404058,0.0005685762,0.0000773997,0.00017722948],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009925783,0.0004318709,0.0005875905,0.0001876479,0.00049516995,0.00007093473,0.00048572826,0.00017966075,0.002254014],"category_scores_gemma":[0.00006746848,0.00040632876,0.00017624095,0.0002267767,0.00016394831,0.00053491205,0.000099460856,0.00065062405,0.000016030115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0018052382,0.00038909106,0.00001489479,0.00017784564,0.00012443896,0.0000038666917,0.030919604,0.00087298086,0.00018494307,0.95708895,0.00008241983,0.008335713],"study_design_scores_gemma":[0.0035428577,0.0029825896,0.0005972308,0.00014465641,0.00021601804,0.000015019926,0.0071325954,0.008654363,0.0014682207,0.9745183,0.0002057677,0.0005223591],"about_ca_topic_score_codex":0.00009146151,"about_ca_topic_score_gemma":0.000006103775,"teacher_disagreement_score":0.023787009,"about_ca_system_score_codex":0.00010595179,"about_ca_system_score_gemma":0.00006215649,"threshold_uncertainty_score":0.9998388},"labels":[],"label_agreement":null},{"id":"W4292332187","doi":"10.21468/scipost.report.4509","title":"Report on 2110.03644v2","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ministry of Colleges and Universities; Industry Canada; National Science Foundation; Government of Canada; Institut Périmètre de physique théorique; National Centres of Competence in Research SwissMAP; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; American Institute of Mathematics","keywords":"Computer science","score_opus":0.06892693094941298,"score_gpt":0.36074541685900685,"score_spread":0.29181848590959386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4292332187","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00009320486,0.011174965,0.00011830965,0.044212054,0.036698293,0.0018316428,0.00013690467,0.0005464946,0.90518814],"genre_scores_gemma":[0.00014934735,0.0013445731,0.00046609496,0.005439332,0.0013074942,0.00022450442,0.0005100364,0.00012126632,0.9904373],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99688834,0.00009732815,0.00076099526,0.00066227675,0.0012574171,0.00033362818],"domain_scores_gemma":[0.99728197,0.00034325945,0.0005383834,0.0015893271,0.00013716727,0.00010987646],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005807043,0.0004601485,0.0010102232,0.00008686741,0.00014888836,0.000033230983,0.00061213045,0.00027034714,0.050460473],"category_scores_gemma":[0.0009719324,0.0003603045,0.00046366407,0.00018159383,0.000025500678,0.000025725623,0.0003576619,0.0009331377,0.00008860529],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003134124,0.000030994644,2.4916642e-7,0.0008400249,0.000058424914,0.00014498619,0.00000560418,2.325217e-7,2.9926138e-8,0.36091405,0.63743865,0.0005636279],"study_design_scores_gemma":[0.00008200891,0.000054741897,4.3201103e-7,0.0003933106,0.000114349714,0.00009462969,0.0000030191798,7.0888063e-7,0.0000020635887,0.43714464,0.56187385,0.00023625529],"about_ca_topic_score_codex":0.00009557251,"about_ca_topic_score_gemma":0.000010271852,"teacher_disagreement_score":0.08524922,"about_ca_system_score_codex":0.00019305346,"about_ca_system_score_gemma":0.00025192794,"threshold_uncertainty_score":0.9998849},"labels":[],"label_agreement":null},{"id":"W4292373849","doi":"10.21468/scipost.report.5203","title":"Report on scipost_202204_00039v1","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministry of Colleges and Universities; Industry Canada; National Science Foundation; Government of Canada; Institut Périmètre de physique théorique; National Centres of Competence in Research SwissMAP; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; American Institute of Mathematics","keywords":"Computer science","score_opus":0.0677845521353771,"score_gpt":0.3643770792970025,"score_spread":0.29659252716162543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4292373849","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00010988302,0.014056317,0.000054890254,0.058062926,0.046112485,0.0020799027,0.00021581148,0.0006306014,0.8786772],"genre_scores_gemma":[0.00010099523,0.0011751734,0.00035625507,0.00634543,0.001110396,0.00025249738,0.0006608067,0.000135455,0.989863],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99653953,0.000114767536,0.0007629303,0.0007460214,0.0014802275,0.00035652146],"domain_scores_gemma":[0.9972088,0.00035320647,0.0005248914,0.0016461763,0.00015119356,0.00011573272],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006914836,0.00047670706,0.0009898478,0.00011609711,0.00020480358,0.000038349262,0.00070020236,0.0002458174,0.06526308],"category_scores_gemma":[0.001001256,0.0003844063,0.00045921776,0.00026974655,0.00003283929,0.000028012966,0.0004904314,0.0010381017,0.00009624781],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040985633,0.00003438937,3.0442752e-7,0.0007836029,0.000068117544,0.00018119041,0.0000059366384,3.3742594e-7,3.60954e-8,0.34479496,0.65365386,0.00047313108],"study_design_scores_gemma":[0.000085766325,0.000068078996,4.985589e-7,0.00039652665,0.00013449315,0.00011756571,0.0000034460725,8.6684014e-7,0.0000020306761,0.40941665,0.5895117,0.00026239673],"about_ca_topic_score_codex":0.00008553975,"about_ca_topic_score_gemma":0.000010345934,"teacher_disagreement_score":0.111185804,"about_ca_system_score_codex":0.0002383876,"about_ca_system_score_gemma":0.00034311938,"threshold_uncertainty_score":0.99986076},"labels":[],"label_agreement":null},{"id":"W4294611840","doi":"10.4171/jncg/472","title":"Covariant derivatives of eigenfunctions along parallel tensors over space forms and a conjecture motivated by the vertex algebraic structure","year":2022,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Covariant transformation; Covariant derivative; Eigenfunction; Sectional curvature; Conjecture; Pure mathematics; Scalar (mathematics); Laplace operator; Vertex (graph theory); Eigenvalues and eigenvectors; Scalar curvature; Algebraic number; Mathematical analysis; Curvature; Mathematical physics; Combinatorics; Geometry; Graph; Physics; Quantum mechanics","score_opus":0.015592031496763931,"score_gpt":0.2706285094879919,"score_spread":0.25503647799122797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4294611840","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9930573,0.0012324824,0.0041163946,0.000689869,0.0003814649,0.00027701497,0.00012978629,0.000012132488,0.00010351836],"genre_scores_gemma":[0.99830955,0.00002950162,0.0012818128,0.00018684282,0.0000592014,0.000007447534,0.000008274103,0.000035625493,0.000081768456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99777377,0.00038176286,0.00070210564,0.00018094332,0.00069041015,0.00027098722],"domain_scores_gemma":[0.9965329,0.0016098064,0.0012096652,0.0002951853,0.00024661893,0.00010580026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052803435,0.00028090886,0.0006414829,0.00024366211,0.0005025921,0.000042606698,0.00045896496,0.000102707796,0.00046231903],"category_scores_gemma":[0.0006048985,0.00017224957,0.00020447488,0.0007710241,0.00024934323,0.00021570474,0.00028549295,0.0010274827,1.9452713e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0026384715,0.0011779276,0.026507784,0.00037642085,0.007884753,0.000167178,0.04488736,0.008283321,0.014859576,0.8487913,0.041167587,0.0032583063],"study_design_scores_gemma":[0.0032087022,0.0011939503,0.021747975,0.00005493108,0.00028626993,0.00056559243,0.010313849,0.00029874354,0.0012478584,0.9598045,0.0009777745,0.00029985822],"about_ca_topic_score_codex":0.000053185806,"about_ca_topic_score_gemma":0.0000067371875,"teacher_disagreement_score":0.11101318,"about_ca_system_score_codex":0.00013352228,"about_ca_system_score_gemma":0.00014498064,"threshold_uncertainty_score":0.7024134},"labels":[],"label_agreement":null},{"id":"W4295337143","doi":"10.1007/s00012-022-00790-5","title":"A theorem of Mumford and Ramanujam for universal algebras","year":2022,"lang":"en","type":"article","venue":"Algebra Universalis","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Algebra over a field; Universal algebra; Pure mathematics","score_opus":0.020897784135338656,"score_gpt":0.25557443098632326,"score_spread":0.2346766468509846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4295337143","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99335796,0.00012126729,0.0025662065,0.000318011,0.00044461922,0.0005632801,0.000093370625,0.0000936964,0.0024416035],"genre_scores_gemma":[0.9971284,0.00001392253,0.0019983165,0.00009750663,0.00006150833,0.000019800775,0.000017759903,0.000040014027,0.0006227571],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988315,0.00009299913,0.00023555003,0.00029635674,0.00027826626,0.000265295],"domain_scores_gemma":[0.99879795,0.0005021158,0.00019736172,0.00033715233,0.00007901877,0.00008640088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025229272,0.00018304079,0.0003256528,0.00014588705,0.00029300858,0.000015935791,0.00035161866,0.0000664547,0.0003636928],"category_scores_gemma":[0.00008649206,0.00018807595,0.00014615536,0.00023875575,0.00014486983,0.00013359534,0.00033251997,0.00015323656,4.24479e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020107461,0.00005316269,0.00009748867,0.00004547696,0.0001108537,0.000006293158,0.001549741,0.000010818428,0.00014067514,0.99463344,0.002239991,0.00091098825],"study_design_scores_gemma":[0.0018260253,0.00036178244,0.000050634844,0.0000088667675,0.0001295086,0.000015957372,0.0039341897,0.00028086684,0.00069246034,0.98318696,0.009290247,0.0002225004],"about_ca_topic_score_codex":0.000086398744,"about_ca_topic_score_gemma":0.000008392819,"teacher_disagreement_score":0.011446476,"about_ca_system_score_codex":0.00008851778,"about_ca_system_score_gemma":0.00008246052,"threshold_uncertainty_score":0.76695144},"labels":[],"label_agreement":null},{"id":"W4295528103","doi":"10.1016/j.aim.2022.108678","title":"Trialities of orthosymplectic W-algebras","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Mathematics; Coset; Vertex operator algebra; Realization (probability); Type (biology); Combinatorics; Algebra over a field; Pure mathematics; Jordan algebra; Current algebra","score_opus":0.031062324228820184,"score_gpt":0.32020824847519586,"score_spread":0.2891459242463757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4295528103","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9809724,0.0020160382,0.0026754695,0.00005895627,0.0013823609,0.0005808932,0.00001722862,0.00009066008,0.012206012],"genre_scores_gemma":[0.98586845,0.000083384984,0.01331848,0.000024609664,0.0000596952,0.00011729455,0.0000022325407,0.000034421806,0.00049142423],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983496,0.00010450085,0.00067154586,0.00017755743,0.00046478614,0.00023198662],"domain_scores_gemma":[0.99825317,0.0009404729,0.00035572043,0.0003811859,0.00003916359,0.000030272686],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053295615,0.00015317451,0.00045063955,0.00012999948,0.00010901195,0.000009252036,0.0003530686,0.000035435947,0.0005093339],"category_scores_gemma":[0.0005549278,0.00014460961,0.00010609375,0.0003865966,0.00006716011,0.00014228528,0.00019277196,0.00020631407,0.0000014660407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024116644,0.00016523771,0.00026236486,0.0002500962,0.0000171337,0.0000034836726,0.002138719,0.0002731743,0.000016056943,0.99614406,0.00006707479,0.0006384918],"study_design_scores_gemma":[0.0006464719,0.00009996151,0.000019072395,0.000035416673,0.000022608569,0.000013573073,0.0023695072,0.0003105515,0.00025679634,0.9944479,0.0016259723,0.0001521822],"about_ca_topic_score_codex":0.000010019335,"about_ca_topic_score_gemma":0.000014756656,"teacher_disagreement_score":0.011714588,"about_ca_system_score_codex":0.000080601145,"about_ca_system_score_gemma":0.00004603943,"threshold_uncertainty_score":0.5897009},"labels":[],"label_agreement":null},{"id":"W4295958598","doi":"10.1016/j.jalgebra.2022.09.003","title":"Subregular J-rings of Coxeter systems via quiver path algebras","year":2022,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Defence Academy","keywords":"Mathematics; Quiver; Coxeter group; Algebraically closed field; Pure mathematics; Quotient; Subring; Isomorphism (crystallography); Ring (chemistry); Simple module; Morita equivalence; Simple (philosophy); Algebra over a field","score_opus":0.018444080419129955,"score_gpt":0.25024839517795777,"score_spread":0.23180431475882782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4295958598","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99421406,0.0008479743,0.0018919883,0.00012507767,0.0023929216,0.00018698795,0.000007684351,0.000019057736,0.0003142556],"genre_scores_gemma":[0.9985045,0.000013614256,0.00068432925,0.00007965391,0.0003771066,0.0000071740997,0.000001077907,0.000044572716,0.00028795563],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972933,0.00019963739,0.0010109405,0.0001660735,0.0010514327,0.00027863658],"domain_scores_gemma":[0.9977017,0.00022943619,0.0012805895,0.00035813043,0.00029128577,0.00013883266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083030394,0.00020987066,0.00065863284,0.00019752295,0.00015071548,0.000034933488,0.000579526,0.00008181906,0.0005050309],"category_scores_gemma":[0.00010692247,0.00017599708,0.00035535236,0.00024351229,0.00006394183,0.00018846562,0.00022665446,0.00046990544,0.0000035025014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003506682,0.00035175346,0.0013935177,0.00026534416,0.00057228195,0.00019442296,0.002347852,0.0002866679,0.003471256,0.9778717,0.012301906,0.0005925959],"study_design_scores_gemma":[0.0018413094,0.0009922757,0.0006875863,0.00010398082,0.00023151703,0.0009429538,0.0008546861,0.00032664818,0.0019414559,0.9876308,0.004121657,0.00032513865],"about_ca_topic_score_codex":0.00002368116,"about_ca_topic_score_gemma":4.3236128e-7,"teacher_disagreement_score":0.009759057,"about_ca_system_score_codex":0.00014218721,"about_ca_system_score_gemma":0.0001284679,"threshold_uncertainty_score":0.71769524},"labels":[],"label_agreement":null},{"id":"W4296569202","doi":"10.48550/arxiv.2209.07107","title":"Azumaya Algebras and Obstructions to Quadratic Pairs over a Scheme","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; Memorial University of Newfoundland","funders":"","keywords":"Quadratic equation; Mathematics; Pure mathematics; Affine transformation; Involution (esoterism); Scheme (mathematics); Brauer group; Quadratic algebra; Construct (python library); Algebra over a field; Division algebra; Mathematical analysis; Algebra representation; Computer science","score_opus":0.09170818734991427,"score_gpt":0.22867286536529863,"score_spread":0.13696467801538437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4296569202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915001,0.000056297034,0.004693922,0.00009174832,0.001291835,0.0005670033,0.000034892106,0.0002005532,0.0015636917],"genre_scores_gemma":[0.9961585,0.00003853158,0.0014085559,0.00010086081,0.00014088467,0.00000772214,0.000013108235,0.000054281925,0.002077571],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816966,0.00012554342,0.00026478048,0.0009305996,0.00015677241,0.00035264657],"domain_scores_gemma":[0.99827605,0.0002189925,0.00021473433,0.00095226604,0.000077857425,0.000260086],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001508227,0.0003916488,0.00047803932,0.00023949653,0.00035568725,0.000079489495,0.00057297136,0.00027048818,0.0010779338],"category_scores_gemma":[0.00014766982,0.00045632722,0.00021463711,0.0004160103,0.000096179945,0.00011383481,0.0018960116,0.00074844446,0.000014692888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045698973,0.000052371797,0.0013814879,0.00011515953,0.00020026015,0.00006394469,0.0005360963,0.0025196439,0.000011382424,0.99401826,0.0010017997,0.000053879765],"study_design_scores_gemma":[0.0005043491,0.000067780304,0.0010462897,0.000046291603,0.00020214282,0.0000068447916,0.0006632897,0.0041658403,0.000012327762,0.99181706,0.00095022854,0.000517543],"about_ca_topic_score_codex":0.00022470331,"about_ca_topic_score_gemma":0.000063127896,"teacher_disagreement_score":0.0046584266,"about_ca_system_score_codex":0.00031517888,"about_ca_system_score_gemma":0.00015355714,"threshold_uncertainty_score":0.9998352},"labels":[],"label_agreement":null},{"id":"W4296777338","doi":"10.1063/5.0117895","title":"On rationality of C-graded vertex algebras and applications to Weyl vertex algebras under conformal flow","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; European Regional Development Fund; Banff International Research Station for Mathematical Innovation and Discovery; Illinois State University","keywords":"Mathematics; Vertex (graph theory); Lie conformal algebra; Vertex operator algebra; Pure mathematics; Conformal map; Parameterized complexity; Current algebra; Integer (computer science); Algebra over a field; Jordan algebra; Combinatorics; Mathematical analysis; Graph","score_opus":0.03521924579401184,"score_gpt":0.3002815461921807,"score_spread":0.2650623003981689,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4296777338","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81688076,0.00006225164,0.17937033,0.0007806733,0.0004308678,0.0007553101,0.00004088766,0.000030348885,0.0016485918],"genre_scores_gemma":[0.99208516,0.0000027773408,0.0071683484,0.0004466172,0.00016413168,0.00003681277,0.0000032311716,0.000029190975,0.000063737534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99781793,0.00009440812,0.00080733054,0.00016038828,0.00091323245,0.0002067354],"domain_scores_gemma":[0.99773663,0.0010546525,0.0004900602,0.0003203689,0.00021310315,0.00018520321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048385106,0.0001977708,0.0005624872,0.000072273586,0.00019080882,0.000032879925,0.00033686953,0.000059994625,0.00030291444],"category_scores_gemma":[0.00024096033,0.0001648644,0.00018417404,0.00025925908,0.00008514244,0.00013455721,0.00017245332,0.00039447634,0.000007811204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000099529694,0.00045175396,0.0000060087195,0.00011799462,0.00012277893,0.000001365782,0.00044092772,0.0006693656,0.00021457474,0.9955129,0.0014622947,0.0009004851],"study_design_scores_gemma":[0.0008380273,0.00038352015,0.00009741378,0.000048811216,0.000107180065,0.000039802962,0.00029354647,0.0012366417,0.00058317126,0.99604535,0.00016434886,0.00016215917],"about_ca_topic_score_codex":0.000001148807,"about_ca_topic_score_gemma":1.996867e-7,"teacher_disagreement_score":0.17520441,"about_ca_system_score_codex":0.000095438845,"about_ca_system_score_gemma":0.00014204654,"threshold_uncertainty_score":0.6722975},"labels":[],"label_agreement":null},{"id":"W4297021167","doi":"10.1093/imrn/rnac258","title":"Tiered Trees and Theta Operators","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Conjecture; Indecomposable module; Homogeneous; Torus; Theta function; Combinatorics; Function (biology); Pure mathematics; Geometry","score_opus":0.14738627396519938,"score_gpt":0.424379572339102,"score_spread":0.27699329837390263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297021167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97038275,0.00015820951,0.0001134095,0.0015711461,0.00081175816,0.00036672535,0.00002942616,0.00006922716,0.026497351],"genre_scores_gemma":[0.9925684,0.000019294199,0.003063163,0.000040426596,0.00017131967,0.00012467871,0.0000052312444,0.000032508102,0.0039750286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973607,0.00019341036,0.00031852105,0.0002774319,0.0015523147,0.0002976115],"domain_scores_gemma":[0.99797475,0.0012887841,0.000103444196,0.0003103146,0.00022592413,0.00009675832],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014238931,0.00013684314,0.00020017388,0.00023933733,0.0005022405,0.00021284098,0.0007884321,0.000041251787,0.0015996322],"category_scores_gemma":[0.000869919,0.000116475574,0.000059431444,0.00018317548,0.00014010211,0.00012420308,0.00091747567,0.0004511735,0.000015983123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024225163,0.00018167122,0.00013171847,0.000040434257,0.00009721702,0.00001175082,0.0020408838,0.00005506036,0.00015051868,0.9944367,0.0023726784,0.00045715895],"study_design_scores_gemma":[0.0003767999,0.00009918896,0.00009298962,0.00002053379,0.000011456529,0.000020476911,0.0027310331,0.0065948116,0.00020868235,0.9834084,0.0062992647,0.00013636608],"about_ca_topic_score_codex":0.000045025823,"about_ca_topic_score_gemma":0.000017727803,"teacher_disagreement_score":0.022522323,"about_ca_system_score_codex":0.0001229816,"about_ca_system_score_gemma":0.00006642986,"threshold_uncertainty_score":0.99931306},"labels":[],"label_agreement":null},{"id":"W4297370039","doi":"10.21468/scipostphys.13.3.068","title":"Topological Orders in (4+1)-Dimensions","year":2022,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"Institut Périmètre de physique théorique; Ministero dello Sviluppo Economico; Dalhousie University; Industry Canada; Ontario Ministry of Economic Development and Innovation; Government of Canada","keywords":"Morita therapy; Gapless playback; Topology (electrical circuits); Boundary (topology); Order (exchange); Physics; Mathematics; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.04935090194727204,"score_gpt":0.31297630257041087,"score_spread":0.26362540062313883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297370039","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9961352,0.000028224173,0.00013201182,0.00037483033,0.0007015117,0.00015775334,0.0000049684418,0.00005983237,0.0024057121],"genre_scores_gemma":[0.9990114,0.0000012868912,0.00046225675,0.00023606222,0.00009613291,0.00003562732,0.0000037658497,0.0000141202645,0.00013937466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911696,0.00007558811,0.00014847412,0.00018850956,0.00025515855,0.00021532587],"domain_scores_gemma":[0.99951893,0.00013400246,0.0000483772,0.00024005373,0.000019074876,0.00003956436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012514516,0.00009655432,0.00015767664,0.000026634012,0.00021428042,0.000011307016,0.00020238961,0.00002929835,0.0003340288],"category_scores_gemma":[0.000049866117,0.00008853202,0.00006081654,0.0003034114,0.00004542359,0.00004270099,0.0002873475,0.0002686234,0.000007726445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014021937,0.00010467539,0.00028607837,0.000003539708,0.000006434756,0.0000074043946,0.00036701772,0.00029454767,0.00007507956,0.99758196,0.00087137707,0.000387889],"study_design_scores_gemma":[0.00032234922,0.0000772908,0.00018117763,0.0000025149236,0.0000070728433,0.000003268774,0.00030099592,0.00027835448,0.000110802976,0.9973266,0.0012745681,0.00011501954],"about_ca_topic_score_codex":0.00003819442,"about_ca_topic_score_gemma":0.000007211754,"teacher_disagreement_score":0.0028762175,"about_ca_system_score_codex":0.0000739708,"about_ca_system_score_gemma":0.000045296416,"threshold_uncertainty_score":0.3657381},"labels":[],"label_agreement":null},{"id":"W4297475892","doi":"10.1007/jhep09(2022)228","title":"Spinning hexagons","year":2022,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Natural Sciences and Engineering Research Council of Canada; Institut Périmètre de physique théorique; ICTP South American Institute for Fundamental Research; Fundação para a Ciência e a Tecnologia; Fundação de Amparo à Pesquisa do Estado de São Paulo; Abdus Salam International Centre for Theoretical Physics; National Science Foundation; Government of Canada; Simons Foundation","keywords":"Spinning; Integrable system; Computation; Partition function (quantum field theory); Formalism (music); Statistical mechanics; Physics; Mathematics; Pure mathematics; Mathematical physics; Quantum mechanics; Algorithm","score_opus":0.022766012308748383,"score_gpt":0.26006896616429953,"score_spread":0.23730295385555114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297475892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9140648,0.0002768409,0.07950522,0.0004360566,0.0042134095,0.000037135807,0.0000047197414,0.000033114004,0.0014287011],"genre_scores_gemma":[0.9968683,0.000008499109,0.0016885987,0.00017685267,0.0009907173,0.0000028482489,8.8216916e-7,0.000023363747,0.00023993201],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894863,0.00006486868,0.00031109323,0.00007755513,0.0004512531,0.00014661458],"domain_scores_gemma":[0.9991527,0.00010647697,0.00042863225,0.00016294497,0.00009048401,0.000058729922],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014255723,0.000101058795,0.000254339,0.000042893964,0.00019001433,0.000019177904,0.00027760328,0.000022828674,0.00011486761],"category_scores_gemma":[0.000026678483,0.00008783261,0.00016246736,0.00016607126,0.000018323139,0.000096632495,0.00013040709,0.00026424832,4.103949e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025018384,0.000075512566,0.000012403241,0.0000041240783,0.00006578838,0.000021404967,0.00013877031,0.0013855235,0.00006202577,0.993249,0.0033938596,0.0015665832],"study_design_scores_gemma":[0.00042957126,0.00018938717,0.000026390602,0.000007892653,0.000042410524,0.000069367845,0.00010233461,0.000043087533,0.0010742358,0.99257183,0.0053457166,0.00009775943],"about_ca_topic_score_codex":0.000021643164,"about_ca_topic_score_gemma":5.1291886e-7,"teacher_disagreement_score":0.0828035,"about_ca_system_score_codex":0.00008423797,"about_ca_system_score_gemma":0.00008551019,"threshold_uncertainty_score":0.358171},"labels":[],"label_agreement":null},{"id":"W4298842123","doi":"10.48550/arxiv.1610.03810","title":"Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2","year":2016,"lang":"es","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Consejo Nacional de Investigaciones Científicas y Técnicas; Temple University; National Science Foundation","keywords":"Hopf algebra; Mathematics; Noncommutative geometry; Dimension (graph theory); Pure mathematics; Quasitriangular Hopf algebra; Quantum group; Morita equivalence; Algebra over a field; Division algebra; Algebra representation","score_opus":0.052449484541037615,"score_gpt":0.20702886516281682,"score_spread":0.1545793806217792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4298842123","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.977899,0.000155301,0.019689662,0.000057160618,0.0003748029,0.0008099239,0.00016068108,0.000051391355,0.00080208504],"genre_scores_gemma":[0.9981837,0.0008291695,0.00041373697,0.000024420062,0.00008362692,0.000002775689,0.00001982046,0.00003982758,0.0004028697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844986,0.00007670039,0.00037644344,0.00064650713,0.00010264362,0.00034784354],"domain_scores_gemma":[0.9977183,0.0006661004,0.00052974414,0.00062158355,0.00026660916,0.00019767434],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020080117,0.00039245206,0.0006423191,0.00017935642,0.00031767043,0.00005002969,0.00028307905,0.00042742086,0.000033757424],"category_scores_gemma":[0.00014229518,0.00036295145,0.00019068306,0.00015383237,0.00024113202,0.00024269495,0.0007370166,0.00021275372,0.0000042681454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002319923,0.000080223865,0.0016445656,0.0011456972,0.0002827722,0.0000071237964,0.0011347648,0.00034465024,0.0003958419,0.99393207,0.0002515679,0.0005487114],"study_design_scores_gemma":[0.0020545505,0.00018204947,0.0007325828,0.00045918996,0.00047982435,0.000009301504,0.0006740633,0.010068401,0.0013737011,0.98330295,0.00020235455,0.00046105214],"about_ca_topic_score_codex":0.00009527362,"about_ca_topic_score_gemma":0.000027193502,"teacher_disagreement_score":0.02028476,"about_ca_system_score_codex":0.000104918945,"about_ca_system_score_gemma":0.00011253391,"threshold_uncertainty_score":0.9998822},"labels":[],"label_agreement":null},{"id":"W4299620407","doi":"","title":"Quivers and the Euclidean algebra (Extended abstract)","year":2015,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Algebra over a field; Euclidean geometry; Euclidean distance; Computer science; Matrix algebra; Mathematics; Pure mathematics; Artificial intelligence; Physics; Geometry","score_opus":0.05119094769505654,"score_gpt":0.2947633965837296,"score_spread":0.24357244888867302,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4299620407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9281012,0.00018737966,0.00038872214,0.0016148138,0.00068308273,0.00029294624,9.378526e-7,0.0001249807,0.06860597],"genre_scores_gemma":[0.9976293,0.000010122114,0.0006217208,0.0002791971,0.000121290876,0.000005917038,4.766682e-7,0.0000126434,0.0013193238],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928963,0.000032495398,0.0001616514,0.00014069513,0.00022273953,0.00015277421],"domain_scores_gemma":[0.9992461,0.0002740891,0.000062245956,0.00025331977,0.000056212266,0.00010803202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037944905,0.00010785695,0.00016849367,0.000018898221,0.00007161141,0.000052122723,0.00015782399,0.000059184982,0.00013284698],"category_scores_gemma":[0.0002663255,0.000058619516,0.000048816622,0.00005419195,0.00014083815,0.00007613987,0.00008352952,0.000111382826,0.000016578108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056717632,0.000009460893,0.00002130641,0.000004761275,0.000023581897,0.000001834286,0.00076373504,3.679357e-7,0.000003411125,0.99163896,0.0065919664,0.0008838767],"study_design_scores_gemma":[0.001911685,0.00002181809,0.00021977445,0.000003867382,0.000025103755,0.000009485398,0.0008802084,0.000078513294,0.00009228089,0.9955701,0.0010967619,0.00009035018],"about_ca_topic_score_codex":0.00009658317,"about_ca_topic_score_gemma":0.000016141403,"teacher_disagreement_score":0.06952813,"about_ca_system_score_codex":0.00001768981,"about_ca_system_score_gemma":0.00003385548,"threshold_uncertainty_score":0.23904346},"labels":[],"label_agreement":null},{"id":"W4301752328","doi":"10.48550/arxiv.1401.2170","title":"The Multiplicative Structure on Hochschild Cohomology of a Complete\\n Intersection","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Cohomology; Mathematics; Multiplicative function; Commutative property; Abelian group; Intersection (aeronautics); Pure mathematics; Cup product; Extension (predicate logic); Algebra over a field; Equivariant cohomology; De Rham cohomology; Computer science; Mathematical analysis; Engineering","score_opus":0.08220643266703054,"score_gpt":0.2189200041112961,"score_spread":0.13671357144426557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4301752328","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9780937,0.000017527822,0.018547783,0.00006697159,0.0014405481,0.00051386957,0.000051100546,0.00007095563,0.0011975743],"genre_scores_gemma":[0.9993407,0.000021852768,0.00010722524,0.0000402389,0.00023403321,0.0000015289166,0.0000142210265,0.00002915641,0.00021103148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854136,0.00026120624,0.0002673047,0.000593681,0.000096712996,0.00023972554],"domain_scores_gemma":[0.99727166,0.00081298524,0.00061154127,0.0010423795,0.0001912292,0.0000701974],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015018092,0.00031358877,0.00047233002,0.00010068823,0.00021602493,0.000022229246,0.0008103303,0.00039796976,0.000028677685],"category_scores_gemma":[0.00018593708,0.00024928385,0.00024823102,0.00014462155,0.0003075428,0.000028600489,0.00060241256,0.0008037185,0.000005810748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024275942,0.000038035116,0.00018938977,0.00006614361,0.00022408854,0.0000047526355,0.00027629567,0.008765066,0.00003746418,0.9897279,0.0003193803,0.00010873358],"study_design_scores_gemma":[0.00059137895,0.00015494463,0.0004564415,0.000084283,0.00012355596,0.0000031257512,0.00016313886,0.0147565175,0.00023529476,0.98298156,0.0002168166,0.00023291007],"about_ca_topic_score_codex":0.00010358336,"about_ca_topic_score_gemma":0.00009137527,"teacher_disagreement_score":0.021247042,"about_ca_system_score_codex":0.00016383987,"about_ca_system_score_gemma":0.00006104378,"threshold_uncertainty_score":0.99999595},"labels":[],"label_agreement":null},{"id":"W4302070916","doi":"10.48550/arxiv.1201.4833","title":"On the Auslander-Reiten quiver of the representations of an infinite\\n quiver","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Quiver; Subcategory; Mathematics; Conjecture; Pure mathematics; Abelian group","score_opus":0.13376197035667378,"score_gpt":0.24267083927794378,"score_spread":0.10890886892127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4302070916","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99124074,0.000013157782,0.0009544505,0.00007229492,0.00067918433,0.0004359569,0.000039407474,0.000027670258,0.0065371674],"genre_scores_gemma":[0.9986812,0.000013282047,0.000049089944,0.000041550997,0.00008733567,0.0000013429777,0.0000068384693,0.000022678227,0.0010967136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870956,0.00028160826,0.00026795617,0.00035834062,0.0001780028,0.00020453376],"domain_scores_gemma":[0.9968772,0.0006982548,0.00057218975,0.0015937729,0.00018995843,0.00006861439],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023411095,0.00023270382,0.00033835694,0.000089819034,0.00014090506,0.0000145186705,0.0010504844,0.00025557444,0.00032453693],"category_scores_gemma":[0.00020439498,0.00015252066,0.00030605728,0.00027678392,0.00026377526,0.00009784725,0.0008232189,0.0004804837,0.0000059890863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060194645,0.000120762306,0.0014914891,0.000060669932,0.00016234194,0.0000025728439,0.0011149498,0.0068913056,0.000020406087,0.98961693,0.00044056037,0.000017801887],"study_design_scores_gemma":[0.00037122416,0.000038395858,0.0036138128,0.00009113434,0.0002807144,9.941244e-7,0.000441134,0.0018600379,0.00040348715,0.9926727,0.00004989716,0.00017647777],"about_ca_topic_score_codex":0.0003503348,"about_ca_topic_score_gemma":0.00005742542,"teacher_disagreement_score":0.0074404576,"about_ca_system_score_codex":0.000057772915,"about_ca_system_score_gemma":0.00010591659,"threshold_uncertainty_score":0.62196124},"labels":[],"label_agreement":null},{"id":"W4302417517","doi":"10.48550/arxiv.1603.03850","title":"Totally acyclic complexes","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Banff International Research Station for Mathematical Innovation and Discovery; Northeast Normal University","keywords":"Noetherian; Injective function; Mathematics; Ring (chemistry); Commutative property; Noetherian ring; Commutative ring; Class (philosophy); Pure mathematics; Discrete mathematics; Local ring; Algebra over a field; Computer science","score_opus":0.11647137724403618,"score_gpt":0.22244823776873635,"score_spread":0.10597686052470016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4302417517","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94919974,0.000045231594,0.026380325,0.00011825374,0.0016225405,0.0003932377,0.000040366805,0.00031359433,0.021886684],"genre_scores_gemma":[0.9951013,0.00004723072,0.0002055656,0.000047636713,0.00033003057,0.000001129246,0.00000827859,0.000049525577,0.0042093224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983964,0.000097803975,0.00024056072,0.00077585195,0.0001133608,0.0003760495],"domain_scores_gemma":[0.9980745,0.00026227298,0.00029707552,0.0010798569,0.00012348407,0.00016281538],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00011725896,0.00038921952,0.00050860946,0.00012552175,0.00013757736,0.000049834427,0.0009107881,0.00041317966,0.00036360984],"category_scores_gemma":[0.00008720061,0.00035240172,0.00032624954,0.00014048374,0.0001296178,0.00010557724,0.0012510499,0.00043764594,0.00008325568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044373977,0.000043672066,0.00020849534,0.000084772095,0.00013929536,0.00006381592,0.00007868999,0.00031001744,0.000037782174,0.9977036,0.0011956726,0.00008981633],"study_design_scores_gemma":[0.0006015719,0.00003105411,0.00020900347,0.00013489995,0.0001323928,0.000003499537,0.00003865842,0.0008110125,0.0001222039,0.9968108,0.0006551684,0.00044976937],"about_ca_topic_score_codex":0.000037909995,"about_ca_topic_score_gemma":0.000016193102,"teacher_disagreement_score":0.045901515,"about_ca_system_score_codex":0.0001853387,"about_ca_system_score_gemma":0.00012106254,"threshold_uncertainty_score":0.9998928},"labels":[],"label_agreement":null},{"id":"W4304172792","doi":"10.1017/nmj.2022.28","title":"MINIMAL (-)TILTING INFINITE ALGEBRAS","year":2022,"lang":"en","type":"article","venue":"Nagoya Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Queen's University","funders":"Université Paris-Sud; Institut Henri Poincaré; Mitacs; Canadian Defence Academy","keywords":"Conjecture; Mathematics; Simple (philosophy); Pure mathematics; Brick; Order (exchange); Representation (politics); Algebra over a field; Epistemology","score_opus":0.041971910646250124,"score_gpt":0.30459545589517534,"score_spread":0.2626235452489252,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4304172792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97080576,0.00015703579,0.008573225,0.00093319087,0.0014403542,0.00030671564,0.000007741704,0.00017126114,0.017604742],"genre_scores_gemma":[0.9816949,0.0000044971885,0.016325388,0.00034642124,0.00067916955,0.000038213977,0.0000013725085,0.000067863715,0.00084220286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968999,0.00023969897,0.0008498232,0.00025715903,0.0011867202,0.0005667081],"domain_scores_gemma":[0.9979805,0.0008718006,0.00039967312,0.0003662917,0.000104715175,0.00027706698],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012778267,0.00026882553,0.000483974,0.00016193642,0.00094157626,0.0001761979,0.0006648166,0.000088569526,0.0074293995],"category_scores_gemma":[0.0009788333,0.00022788219,0.0003095975,0.00029456674,0.000071299146,0.0001587363,0.0004775468,0.0012204088,0.00006361676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050676244,0.00019900425,0.00007039912,0.000054076085,0.00008396905,0.00009848078,0.0011120099,0.000023127213,0.00012070818,0.9917933,0.00477334,0.001620911],"study_design_scores_gemma":[0.00081820216,0.0001896995,0.000034106335,0.00003380918,0.00006977291,0.0017862137,0.0009002911,0.0007141592,0.00010762742,0.99214417,0.002928077,0.00027385532],"about_ca_topic_score_codex":0.000001060297,"about_ca_topic_score_gemma":2.0844669e-7,"teacher_disagreement_score":0.016762538,"about_ca_system_score_codex":0.00016859063,"about_ca_system_score_gemma":0.00012904729,"threshold_uncertainty_score":0.99347794},"labels":[],"label_agreement":null},{"id":"W4310987381","doi":"10.1093/imrn/rnac278","title":"Amenability of Monomial Algebras, Minimal Subshifts, and Free Subalgebras","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Monomial; Mathematics; Noncommutative geometry; Conjecture; Pure mathematics; Characterization (materials science); Simple (philosophy); Extension (predicate logic); Discrete mathematics; Computer science","score_opus":0.1118185192627789,"score_gpt":0.3935747124888192,"score_spread":0.2817561932260403,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4310987381","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9942962,0.0001241086,0.00019117058,0.00084024883,0.00054920296,0.00042753536,0.000081934006,0.00004089137,0.0034486859],"genre_scores_gemma":[0.99334615,0.000013117916,0.005990315,0.000021161295,0.0001762018,0.000116276315,0.000007758509,0.000034011537,0.0002950303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964177,0.00027839583,0.000654647,0.00039259787,0.0018854113,0.00037124212],"domain_scores_gemma":[0.99598545,0.002569406,0.00028948343,0.00063651666,0.00039788947,0.000121236895],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019891716,0.00018411923,0.00036342032,0.00030223426,0.00030547575,0.000104532024,0.001358451,0.0000702483,0.0011080839],"category_scores_gemma":[0.0026289562,0.00017306062,0.00010947131,0.00024986462,0.00034681478,0.00019367959,0.0016432712,0.0005323704,0.0000046649325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001180811,0.00042839206,0.0011450915,0.00019960744,0.00013276297,0.0000073306555,0.001995372,0.000023948724,0.00041829178,0.99370956,0.0015140784,0.00030748843],"study_design_scores_gemma":[0.0007108764,0.00019954404,0.0012178945,0.000026233656,0.000021028589,0.00001012626,0.0019664112,0.002621643,0.001171084,0.99125415,0.00063970365,0.00016128145],"about_ca_topic_score_codex":0.00013560029,"about_ca_topic_score_gemma":0.00003166447,"teacher_disagreement_score":0.0057991445,"about_ca_system_score_codex":0.0001900487,"about_ca_system_score_gemma":0.00013795617,"threshold_uncertainty_score":0.99980503},"labels":[],"label_agreement":null},{"id":"W4311124908","doi":"10.1093/imrn/rnac334","title":"On a Conjecture of Khoroshkin and Tolstoy","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Conjecture; Yangian; Factorization; Triangular matrix; Decomposition; Pure mathematics; Gaussian; Matrix (chemical analysis); Combinatorics; Algebra over a field; Algorithm; Quantum mechanics","score_opus":0.1332893416431626,"score_gpt":0.4344356832262612,"score_spread":0.3011463415830986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311124908","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98570454,0.00006379019,0.00020151556,0.0008095272,0.00045954133,0.00030462345,0.000036344827,0.000026556665,0.012393582],"genre_scores_gemma":[0.9966471,0.0000060468665,0.0024625063,0.000036713544,0.000074784206,0.00006608152,0.000003477433,0.000021466132,0.00068183313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99759394,0.0001425848,0.00031390743,0.00021231611,0.0015314005,0.00020583956],"domain_scores_gemma":[0.99679154,0.0025334968,0.00015831713,0.00026583308,0.00019127241,0.00005951054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010808456,0.00011148304,0.0002118101,0.0002538218,0.00020591772,0.000055865465,0.0005572021,0.00004189972,0.0009125018],"category_scores_gemma":[0.0012447572,0.00009498738,0.000057459307,0.00016780477,0.00013336654,0.0000627589,0.00049785036,0.000429471,0.0000046403816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049708564,0.00022049548,0.000041131625,0.00009477337,0.00006904588,0.000008004521,0.0014939422,0.00009486696,0.00017490213,0.99626493,0.0012316179,0.00025655213],"study_design_scores_gemma":[0.00039773915,0.00025824652,0.000050248516,0.000043781783,0.000008840032,0.000014197886,0.0010028089,0.0028717308,0.00051280897,0.99379766,0.0009517798,0.00009016068],"about_ca_topic_score_codex":0.000025822674,"about_ca_topic_score_gemma":0.0000049188125,"teacher_disagreement_score":0.011711749,"about_ca_system_score_codex":0.00008874968,"about_ca_system_score_gemma":0.000054867505,"threshold_uncertainty_score":0.99912554},"labels":[],"label_agreement":null},{"id":"W4311446839","doi":"10.1088/1361-6382/acaba5","title":"Finite features of quantum de Sitter space","year":2022,"lang":"en","type":"article","venue":"Classical and Quantum Gravity","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Royal Society; Science and Technology Facilities Council; UK Research and Innovation; Simons Foundation","keywords":"Physics; De Sitter space; De Sitter universe; de Sitter invariant special relativity; Mathematical physics; Anti-de Sitter space; Space (punctuation); Theoretical physics; Quantum; Classical mechanics; Quantum mechanics; Universe","score_opus":0.025171285587083723,"score_gpt":0.2767000306556321,"score_spread":0.2515287450685484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311446839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9960105,0.00016162771,0.0012376858,0.0016632242,0.00040911965,0.000120480654,0.000026458083,0.000041429757,0.0003294793],"genre_scores_gemma":[0.9989738,0.000008701179,0.0002480731,0.0001698057,0.00010534111,0.00001738744,0.0000037661678,0.000016568929,0.0004565574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988811,0.0001486529,0.00020225345,0.00023083879,0.00028291167,0.00025421454],"domain_scores_gemma":[0.99903566,0.00046823733,0.00011414567,0.00024145017,0.00003057356,0.00010994595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023700162,0.00014727893,0.00030846102,0.000040571646,0.00022808216,0.000018519713,0.00017537014,0.000075504984,0.000096893295],"category_scores_gemma":[0.00017223558,0.00012093813,0.00011475793,0.00013005806,0.00014017602,0.000035226043,0.0002548173,0.00038524973,0.00000106606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009018023,0.000121192454,0.00063793093,0.000052376483,0.000022707532,0.000009756933,0.00039322104,0.0000074515697,0.00052575144,0.9925999,0.005070668,0.0004688484],"study_design_scores_gemma":[0.00040387592,0.00022056384,0.005096078,0.00000976961,0.000037813104,0.000018740944,0.00018886504,0.0022440027,0.0004106923,0.986723,0.004491645,0.00015492312],"about_ca_topic_score_codex":0.000045515386,"about_ca_topic_score_gemma":0.00000397968,"teacher_disagreement_score":0.005876884,"about_ca_system_score_codex":0.000034398112,"about_ca_system_score_gemma":0.00004483564,"threshold_uncertainty_score":0.4931714},"labels":[],"label_agreement":null},{"id":"W4311590882","doi":"10.1088/1751-8121/acef0c","title":"The q-Racah polynomials from scalar products of Bethe states","year":2023,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Winnipeg; University of Manitoba","funders":"Centre National de la Recherche Scientifique; Deutsche Forschungsgemeinschaft","keywords":"Bethe ansatz; Scalar (mathematics); Algebraic number; Homogeneous; Mathematics; Mathematical physics; Difference polynomials; Pure mathematics; Orthogonal polynomials; Combinatorics; Mathematical analysis; Integrable system","score_opus":0.018888093080644913,"score_gpt":0.27874677112319457,"score_spread":0.25985867804254964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311590882","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99631655,0.00014378983,0.001348219,0.001519563,0.00024501898,0.0001401729,0.000012423201,0.00001803845,0.00025620838],"genre_scores_gemma":[0.9976516,0.00008581948,0.0016521708,0.000024792573,0.0005147413,0.0000030457331,9.1496383e-7,0.00002475084,0.000042215917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982337,0.00013674797,0.00072554057,0.00013351248,0.00052178337,0.00024875975],"domain_scores_gemma":[0.99525476,0.0037351826,0.00038444065,0.0002783243,0.00022789206,0.000119417964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010361632,0.0001659614,0.0005380439,0.000031156647,0.00011601405,0.0000607206,0.00031186687,0.00008101151,0.00007090965],"category_scores_gemma":[0.0013323295,0.00008580295,0.00016579486,0.00020733128,0.0007315672,0.00007610281,0.00014770916,0.0002766645,0.000008264472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008451176,0.000096614676,0.00001010665,0.00009457956,0.00013242693,0.0000054596635,0.000713533,0.0000016306323,0.0006068319,0.9964692,0.00057505915,0.0012100225],"study_design_scores_gemma":[0.00038372778,0.00014639323,0.00004194906,0.00012260271,0.000113664486,0.000013237442,0.0003561124,0.00071543053,0.009514058,0.9884097,0.000085233696,0.00009788563],"about_ca_topic_score_codex":6.359632e-7,"about_ca_topic_score_gemma":8.685934e-8,"teacher_disagreement_score":0.008907226,"about_ca_system_score_codex":0.00001134163,"about_ca_system_score_gemma":0.000051262898,"threshold_uncertainty_score":0.3498943},"labels":[],"label_agreement":null},{"id":"W4312724272","doi":"10.21468/scipost.report.5385","title":"Report on scipost_202204_00028v1","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"Ministero dello Sviluppo Economico; Institut Périmètre de physique théorique; Industry Canada; Dalhousie University; Government of Canada","keywords":"Computer science","score_opus":0.06867829801162874,"score_gpt":0.3642690243276808,"score_spread":0.2955907263160521,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4312724272","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00010631699,0.012814465,0.000050788363,0.05894064,0.04241594,0.0019741384,0.00020543518,0.0006098994,0.88288236],"genre_scores_gemma":[0.000115059294,0.0010820327,0.0003635816,0.006258411,0.0011402427,0.0002503067,0.00063862966,0.00013502777,0.9900167],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9965283,0.000113713766,0.0007672646,0.00074765406,0.0014862379,0.0003567817],"domain_scores_gemma":[0.99719596,0.00036557796,0.00052585825,0.0016503239,0.00014647265,0.000115819894],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00068635057,0.00047716915,0.0009972015,0.00011690132,0.0002048347,0.00003849623,0.0007069355,0.00024613773,0.07069382],"category_scores_gemma":[0.0009533176,0.0003847241,0.00047109582,0.00026085705,0.000033089847,0.000028138906,0.0004997943,0.0010400577,0.00010113021],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042595007,0.00003511865,2.5401647e-7,0.0008408915,0.00006462423,0.00018338101,0.0000061959377,3.4513755e-7,3.8460435e-8,0.34051213,0.6578259,0.00052684365],"study_design_scores_gemma":[0.000085814194,0.00006969502,4.3349635e-7,0.00041726237,0.00013204594,0.00011741946,0.0000034607378,9.0324767e-7,0.0000022933095,0.4107764,0.58813214,0.0002621105],"about_ca_topic_score_codex":0.00009033891,"about_ca_topic_score_gemma":0.000011546082,"teacher_disagreement_score":0.107134335,"about_ca_system_score_codex":0.00023734185,"about_ca_system_score_gemma":0.00032410596,"threshold_uncertainty_score":0.99986047},"labels":[],"label_agreement":null},{"id":"W4313064034","doi":"10.21468/scipost.report.5281","title":"Report on scipost_202204_00028v1","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"Ministero dello Sviluppo Economico; Institut Périmètre de physique théorique; Industry Canada; Dalhousie University; Government of Canada","keywords":"Computer science","score_opus":0.06867829801162874,"score_gpt":0.3642690243276808,"score_spread":0.2955907263160521,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313064034","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00010631699,0.012814465,0.000050788363,0.05894064,0.04241594,0.0019741384,0.00020543518,0.0006098994,0.88288236],"genre_scores_gemma":[0.000115059294,0.0010820327,0.0003635816,0.006258411,0.0011402427,0.0002503067,0.00063862966,0.00013502777,0.9900167],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9965283,0.000113713766,0.0007672646,0.00074765406,0.0014862379,0.0003567817],"domain_scores_gemma":[0.99719596,0.00036557796,0.00052585825,0.0016503239,0.00014647265,0.000115819894],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00068635057,0.00047716915,0.0009972015,0.00011690132,0.0002048347,0.00003849623,0.0007069355,0.00024613773,0.07069382],"category_scores_gemma":[0.0009533176,0.0003847241,0.00047109582,0.00026085705,0.000033089847,0.000028138906,0.0004997943,0.0010400577,0.00010113021],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042595007,0.00003511865,2.5401647e-7,0.0008408915,0.00006462423,0.00018338101,0.0000061959377,3.4513755e-7,3.8460435e-8,0.34051213,0.6578259,0.00052684365],"study_design_scores_gemma":[0.000085814194,0.00006969502,4.3349635e-7,0.00041726237,0.00013204594,0.00011741946,0.0000034607378,9.0324767e-7,0.0000022933095,0.4107764,0.58813214,0.0002621105],"about_ca_topic_score_codex":0.00009033891,"about_ca_topic_score_gemma":0.000011546082,"teacher_disagreement_score":0.107134335,"about_ca_system_score_codex":0.00023734185,"about_ca_system_score_gemma":0.00032410596,"threshold_uncertainty_score":0.99986047},"labels":[],"label_agreement":null},{"id":"W4313897538","doi":"10.1016/j.jpaa.2023.107331","title":"Affine Kac-Moody groups and Lie algebras in the language of SGA3","year":2023,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; University of Tsukuba; Consejo Nacional de Investigaciones Científicas y Técnicas; University of Alberta","keywords":"Mathematics; Affine transformation; Affine Lie algebra; Lie algebra; Pure mathematics; Representation of a Lie group; Adjoint representation of a Lie algebra; Algebra over a field; Kac–Moody algebra; Killing form; Lie conformal algebra; Current algebra","score_opus":0.01719882462390316,"score_gpt":0.26862400897599253,"score_spread":0.2514251843520894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313897538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9978722,0.0005453377,0.000029877609,0.00054489303,0.0001323815,0.00015286835,0.000002635349,0.000012389523,0.0007074295],"genre_scores_gemma":[0.999125,0.00013865365,0.00020966175,0.00013116999,0.0003274112,0.000004582967,0.0000013449519,0.00001718388,0.000044983295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886125,0.00004282679,0.0004597368,0.00012103993,0.00032589896,0.00018925921],"domain_scores_gemma":[0.999066,0.000371693,0.00030101507,0.00016740063,0.000034561905,0.000059329384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064652844,0.00014816734,0.00038489053,0.00014334651,0.00005417485,0.000039664734,0.000226458,0.00009836538,0.000026729813],"category_scores_gemma":[0.00007814677,0.00009138849,0.00006588025,0.0003128469,0.000064297834,0.00007108253,0.00007967417,0.00029940077,0.0000015783348],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071336886,0.00006563188,0.00029631797,0.00010750937,0.000063158,0.000041709365,0.0069510955,0.0000029411628,0.0032595403,0.9829487,0.001972767,0.004219281],"study_design_scores_gemma":[0.001155441,0.00013662287,0.0043970933,0.00005655111,0.00006632505,0.00008345544,0.005621297,0.000010005356,0.0014101762,0.9867847,0.00015959132,0.00011877142],"about_ca_topic_score_codex":0.000004358327,"about_ca_topic_score_gemma":0.000012460841,"teacher_disagreement_score":0.0041007753,"about_ca_system_score_codex":0.000008876809,"about_ca_system_score_gemma":0.000025906586,"threshold_uncertainty_score":0.37267143},"labels":[],"label_agreement":null},{"id":"W4313901592","doi":"10.4171/dm/753","title":"Quantum Affine Wreath Algebras","year":2020,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine transformation; Wreath product; Pure mathematics; Algebra over a field; Quantum; Geometry; Quantum mechanics","score_opus":0.051996371880122814,"score_gpt":0.3066633008388045,"score_spread":0.2546669289586817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313901592","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92919624,0.000219312,0.013467447,0.010511419,0.0008350606,0.0014402459,0.000019892292,0.0010599748,0.043250393],"genre_scores_gemma":[0.99012506,0.0000125363185,0.007759485,0.0009817316,0.00038992328,0.000050081268,0.000007022611,0.00007460049,0.00059956405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981413,0.00005285271,0.00052387256,0.00039571192,0.00048804062,0.0003982078],"domain_scores_gemma":[0.9987337,0.00026888459,0.00018082038,0.0004987507,0.000045377696,0.00027247515],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00016324535,0.00031504317,0.0005047092,0.000040426257,0.00012418133,0.00012139586,0.0004815781,0.00010290047,0.003746361],"category_scores_gemma":[0.00035738136,0.00025608635,0.00017731682,0.00022878312,0.00005898245,0.00021443644,0.00020870661,0.00019643515,0.00037674932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025213416,0.000081149636,0.000020626108,0.00016386941,0.000076527445,0.000011996334,0.0015803882,5.696573e-7,0.00030189168,0.98361886,0.013859564,0.00025934377],"study_design_scores_gemma":[0.00072678,0.00013504582,0.000008603596,0.000043884866,0.000087182656,0.000015768746,0.00033252098,0.00070311484,0.0019574363,0.99227685,0.0034106497,0.00030215768],"about_ca_topic_score_codex":0.0000068888503,"about_ca_topic_score_gemma":6.61181e-7,"teacher_disagreement_score":0.0609288,"about_ca_system_score_codex":0.000047323436,"about_ca_system_score_gemma":0.000034817935,"threshold_uncertainty_score":0.99998915},"labels":[],"label_agreement":null},{"id":"W4313901767","doi":"10.4171/dm/349","title":"Irreducible modules over the Virasoro algebra","year":2011,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":90,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Virasoro algebra; Algebra over a field; Pure mathematics; N = 2 superconformal algebra; Algebra representation; Cellular algebra","score_opus":0.05745601463272942,"score_gpt":0.29896485976264137,"score_spread":0.24150884512991194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313901767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94573456,0.00013138299,0.0021111898,0.00023037496,0.00075774116,0.0007193284,0.000005652333,0.00023209321,0.05007766],"genre_scores_gemma":[0.98957974,0.000015534411,0.008539116,0.00024392187,0.0001621837,0.00010960521,0.0000019825313,0.000061301536,0.0012866282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982528,0.000075813026,0.00046522383,0.00033728484,0.00045477942,0.00041410135],"domain_scores_gemma":[0.99827605,0.000294592,0.00020189544,0.0010796736,0.00004139709,0.00010635919],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00037563732,0.00029280208,0.0003418341,0.000054872122,0.00023438473,0.0001096002,0.0007168797,0.00010059644,0.005064483],"category_scores_gemma":[0.00014940882,0.00018096255,0.00018265733,0.00017449306,0.0001389712,0.0002715325,0.00023273862,0.00019488305,0.00019242967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000143114885,0.00014048161,0.00003758266,0.000057286303,0.000096594245,0.0000034327072,0.0032090917,1.1589228e-7,0.000084830666,0.9894268,0.00653484,0.00039463994],"study_design_scores_gemma":[0.00038759803,0.000052151147,0.0002927206,0.000044810153,0.000095736796,0.00002139766,0.0005314849,0.000085761145,0.0028291258,0.994436,0.0009822894,0.00024088578],"about_ca_topic_score_codex":0.00004597181,"about_ca_topic_score_gemma":0.0000036168142,"teacher_disagreement_score":0.048791032,"about_ca_system_score_codex":0.000049601775,"about_ca_system_score_gemma":0.000024362289,"threshold_uncertainty_score":0.995845},"labels":[],"label_agreement":null},{"id":"W4313906315","doi":"10.4171/dm/679","title":"Weighted Khovanov-Lauda-Rouquier Algebras","year":2019,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"National Science Foundation","keywords":"Mathematics; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.018385759984772227,"score_gpt":0.2911435814137731,"score_spread":0.2727578214290009,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313906315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93984514,0.000087540924,0.0010459436,0.0004087135,0.0011734033,0.0009989986,0.0000058039477,0.00031669118,0.05611778],"genre_scores_gemma":[0.97654945,0.000010533313,0.012006548,0.00033014957,0.00019977876,0.00006949293,0.000010607686,0.00010162792,0.010721826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975774,0.0000705149,0.00063547876,0.00049036264,0.00067265885,0.0005535431],"domain_scores_gemma":[0.998027,0.00039205165,0.00025312067,0.0010852739,0.000075156364,0.00016734248],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00032347775,0.00039122644,0.00060985325,0.00011283343,0.00011496023,0.00015161962,0.00057878596,0.00017476548,0.011046619],"category_scores_gemma":[0.000095649804,0.0003130244,0.00022464155,0.0002649363,0.000062721556,0.000351114,0.00023675157,0.00024198291,0.0020455502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021737222,0.00013508985,0.00014731445,0.00019004702,0.00012215195,0.000005362785,0.00063211564,2.1695357e-7,0.00046643213,0.9920878,0.0058470666,0.0003446622],"study_design_scores_gemma":[0.0010411094,0.00009335273,0.00003349623,0.00010120897,0.00007873788,0.0000285664,0.00024022863,0.0001903833,0.0029757263,0.99026847,0.0045439578,0.00040478856],"about_ca_topic_score_codex":0.000009948308,"about_ca_topic_score_gemma":0.0000014224698,"teacher_disagreement_score":0.045395955,"about_ca_system_score_codex":0.000106098545,"about_ca_system_score_gemma":0.000047269208,"threshold_uncertainty_score":0.99993217},"labels":[],"label_agreement":null},{"id":"W4315491792","doi":"10.4153/s0008439523000024","title":"Quasisymmetric harmonics of the exterior algebra","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quotient; Subalgebra; Ideal (ethics); Polynomial ring; Combinatorics; Quotient ring; Basis (linear algebra); Commutative property; Discrete mathematics; Polynomial; Algebra over a field; Pure mathematics; Commutative ring; Mathematical analysis; Geometry","score_opus":0.035111164915972264,"score_gpt":0.2660191493982186,"score_spread":0.2309079844822463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4315491792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9760377,0.00008902245,0.0003665748,0.0076214434,0.0007026582,0.0006235331,0.00002841582,0.00013040315,0.014400247],"genre_scores_gemma":[0.99527884,0.000007465689,0.0007617242,0.0003423677,0.000083855506,0.00003377233,0.0000015771531,0.000042995067,0.0034473962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998366,0.000079490215,0.0004516927,0.00022388563,0.00038700094,0.00049194973],"domain_scores_gemma":[0.9981577,0.0006381884,0.00013035674,0.0006784512,0.00007976461,0.00031557394],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00042675654,0.00018756471,0.00035333203,0.00020356714,0.00015767277,0.000036186928,0.00060696714,0.00015314175,0.0055789673],"category_scores_gemma":[0.0018477801,0.00013065254,0.00021284784,0.0010327557,0.00013174469,0.000016718033,0.00011938278,0.00020993473,0.002527774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002620182,0.000017140024,0.000040292012,0.00012531385,0.000025999927,0.0000073358565,0.00024579078,0.0000013665541,0.000026266069,0.9557103,0.04315336,0.0006442499],"study_design_scores_gemma":[0.00021214582,0.000021559747,0.00045865396,0.00008228327,0.000039704235,0.000010397352,0.00014757767,0.00015383995,0.00036497906,0.98411334,0.014232715,0.00016283838],"about_ca_topic_score_codex":0.00027445235,"about_ca_topic_score_gemma":0.00014685727,"teacher_disagreement_score":0.028920647,"about_ca_system_score_codex":0.00010197637,"about_ca_system_score_gemma":0.0001794266,"threshold_uncertainty_score":0.9982489},"labels":[],"label_agreement":null},{"id":"W4317103823","doi":"10.1007/s11005-023-01633-7","title":"Bethe ansatz diagonalization of the Heun–Racah operator","year":2023,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Université de Montréal; Agence Nationale de la Recherche; American Heart Association","keywords":"Bethe ansatz; Operator (biology); Algebraic number; Mathematical physics; Mathematics; Algebra over a field; Bilinear interpolation; Pure mathematics; Integrable system; Mathematical analysis","score_opus":0.03666781010992434,"score_gpt":0.2966540072245731,"score_spread":0.25998619711464876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4317103823","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9823138,0.000006529501,0.014762305,0.0017265104,0.00033176283,0.00036012856,0.0000050404215,0.000073672345,0.00042021318],"genre_scores_gemma":[0.9978273,0.0000026095022,0.0012209982,0.0006356906,0.0001793954,0.00003343833,0.0000025947174,0.00003554916,0.00006242557],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986646,0.00010021153,0.00039042238,0.00017912294,0.0004264794,0.00023914127],"domain_scores_gemma":[0.99874973,0.0005882957,0.00012309811,0.00047033315,0.00003542898,0.00003312461],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026712604,0.00015543171,0.00030698546,0.000033614768,0.000063566054,0.000021254895,0.00037858274,0.000076090226,0.000039783332],"category_scores_gemma":[0.00033426346,0.00010335008,0.00012974272,0.00062789256,0.00012362153,0.00007810998,0.00014359868,0.00019974646,0.000025905296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042020033,0.000069929294,0.00026639976,0.00019257217,0.000019468787,0.0000025086258,0.0011077281,0.00037122212,0.0012779472,0.99471843,0.001748432,0.00022116344],"study_design_scores_gemma":[0.00025745283,0.00000926565,0.00030193359,0.00011686308,0.000020448715,0.0000012933441,0.00006882472,0.0037799338,0.0031304534,0.99216306,0.000031302745,0.000119184166],"about_ca_topic_score_codex":0.0000028887523,"about_ca_topic_score_gemma":7.358192e-7,"teacher_disagreement_score":0.01551346,"about_ca_system_score_codex":0.000035384845,"about_ca_system_score_gemma":0.00002012617,"threshold_uncertainty_score":0.4214494},"labels":[],"label_agreement":null},{"id":"W4318242382","doi":"10.48550/arxiv.2301.10686","title":"A functor for constructing $R$-matrices in the category $\\mathcal{O}$ of Borel quantum loop algebras","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Functor; Isomorphism (crystallography); Subalgebra; Mathematics; Irreducibility; Factorization; Combinatorics; Tensor product; Ring (chemistry); Tensor (intrinsic definition); Interpretation (philosophy); Pure mathematics; Algebra over a field; Crystallography; Crystal structure","score_opus":0.16846763153502606,"score_gpt":0.24818305822376743,"score_spread":0.07971542668874138,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318242382","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9934218,0.000114820104,0.003938942,0.00006400196,0.0011107648,0.000952172,0.000069637994,0.0001173804,0.0002104598],"genre_scores_gemma":[0.99914235,0.0000914384,0.00025821972,0.00001855483,0.0001557521,0.000009471164,0.000019581652,0.000055567885,0.00024906904],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980634,0.00017294475,0.0004931827,0.00070085836,0.00016283087,0.0004067932],"domain_scores_gemma":[0.9967505,0.0014640305,0.00064794463,0.0008848366,0.00018416032,0.00006855688],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051927,0.0003754132,0.0006658551,0.00023665445,0.00012916159,0.000044709133,0.0010970036,0.00043345013,0.000021793041],"category_scores_gemma":[0.00041102472,0.0003223141,0.0003838193,0.0005578154,0.00018820133,0.000091760354,0.00058145967,0.0005996247,0.0000062133317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013467649,0.00006511431,0.0021466233,0.0007703818,0.00013917439,0.00005197003,0.0008333086,0.0013803196,0.000025747382,0.9941168,0.00030879184,0.000027105529],"study_design_scores_gemma":[0.00096021494,0.000055921548,0.00061798684,0.00017448653,0.0002335308,0.00000465443,0.0029084403,0.0061706007,0.00009710903,0.98841864,0.00002275604,0.00033563864],"about_ca_topic_score_codex":0.00036275797,"about_ca_topic_score_gemma":0.0001027629,"teacher_disagreement_score":0.0057205246,"about_ca_system_score_codex":0.0001141356,"about_ca_system_score_gemma":0.00022253304,"threshold_uncertainty_score":0.9999229},"labels":[],"label_agreement":null},{"id":"W4318242410","doi":"10.48550/arxiv.2301.10627","title":"MV polytopes and reduced double Bruhat cells","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bijection; Polytope; Combinatorics; Vertex (graph theory); Mathematics; Bruhat order; Weyl group; Bounded function; Algebraic number; Graph","score_opus":0.15828347126433592,"score_gpt":0.22841282956411335,"score_spread":0.07012935829977743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318242410","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99384505,0.00006335577,0.0014401764,0.00008778853,0.0019727482,0.00040690778,0.000018018254,0.00032495373,0.001841019],"genre_scores_gemma":[0.9885658,0.0002549662,0.00020143275,0.000026358657,0.00021097698,0.0000014045987,0.000009221683,0.0000625523,0.010667287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984273,0.0000602147,0.00021337294,0.00084960693,0.000101952086,0.00034757648],"domain_scores_gemma":[0.99852914,0.000183674,0.0002225787,0.00080680905,0.00008585815,0.00017193127],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015370676,0.00035948333,0.0004724711,0.00016477327,0.00015536437,0.00009263027,0.0005522747,0.00043747443,0.0000714865],"category_scores_gemma":[0.000028782371,0.00038691272,0.0001855327,0.00023553998,0.00011290697,0.00010171395,0.0013113354,0.0005204281,0.000049441118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011738668,0.000040882485,0.00018360507,0.00022591565,0.00018006597,0.00012826035,0.00032003404,0.0018083145,0.00019379235,0.9948233,0.0019204126,0.000058056863],"study_design_scores_gemma":[0.00087450177,0.000037140562,0.0001690901,0.00010776011,0.00019365441,0.0000025983056,0.00018528593,0.0018204828,0.0011891815,0.99477774,0.00019951125,0.00044302756],"about_ca_topic_score_codex":0.00034268343,"about_ca_topic_score_gemma":0.00004943392,"teacher_disagreement_score":0.008826268,"about_ca_system_score_codex":0.000108316104,"about_ca_system_score_gemma":0.000108523964,"threshold_uncertainty_score":0.99985826},"labels":[],"label_agreement":null},{"id":"W4318999630","doi":"10.1063/5.0110404","title":"Tau functions, infinite Grassmannians, and lattice recurrences","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lattice (music); Mathematics; Mathematical physics; Pure mathematics; Physics; Algebra over a field","score_opus":0.05672819996308832,"score_gpt":0.3169075654253516,"score_spread":0.2601793654622633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318999630","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97982556,0.00015766904,0.016079519,0.00086771906,0.00095919624,0.0001584392,0.0000056331896,0.000085336,0.0018609564],"genre_scores_gemma":[0.9923058,0.00010053388,0.006205264,0.00007156676,0.0008582627,0.0000046583336,0.0000012437287,0.000032280164,0.0004203489],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986824,0.00005784805,0.0005174121,0.00010765342,0.00043806207,0.00019661721],"domain_scores_gemma":[0.9981718,0.0010222589,0.00034969312,0.00017308025,0.00016119341,0.000121956975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052039424,0.00014622221,0.0003855179,0.0000709642,0.00009715441,0.00006183565,0.00017414485,0.00007450965,0.000041047075],"category_scores_gemma":[0.0005998448,0.00010573332,0.00013197452,0.0003259409,0.00008286398,0.00020409336,0.000071438226,0.0002944342,0.000046034547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017003267,0.00008883117,0.000090416404,0.00020037967,0.00008649783,0.000012355318,0.0006781062,0.000009406926,0.000034822377,0.9861035,0.009053465,0.003625268],"study_design_scores_gemma":[0.00034049936,0.0001221253,0.00014735098,0.00014617559,0.00010293894,0.00004366391,0.0003819777,0.0004450171,0.000064940614,0.99743897,0.0006496515,0.00011667033],"about_ca_topic_score_codex":5.645019e-7,"about_ca_topic_score_gemma":1.8440954e-7,"teacher_disagreement_score":0.01248031,"about_ca_system_score_codex":0.000018072118,"about_ca_system_score_gemma":0.000044817876,"threshold_uncertainty_score":0.43116796},"labels":[],"label_agreement":null},{"id":"W4319663011","doi":"10.1007/s00023-023-01275-4","title":"Askey–Wilson Braid Algebra and Centralizer of $$U_q(\\mathfrak {sl}_2)$$","year":2023,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Espace pour la vie; Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Agence Nationale de la Recherche; American Heart Association","keywords":"Braid group; Centralizer and normalizer; Mathematics; Tensor product; Center (category theory); Pure mathematics; Braid; Quotient; Algebra over a field; Braid theory","score_opus":0.03939070859457605,"score_gpt":0.3079328521765511,"score_spread":0.26854214358197503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319663011","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9953608,0.00064710435,0.00012782049,0.0006842776,0.0005192302,0.00028782463,0.000026309006,0.00024117928,0.0021054882],"genre_scores_gemma":[0.9973933,0.00035098236,0.000442965,0.00019608693,0.00022981694,0.000016586928,0.000019600024,0.00006216479,0.0012884809],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980336,0.00008836387,0.0004988002,0.00039205572,0.0004547192,0.00053245516],"domain_scores_gemma":[0.99860317,0.00039361935,0.000201972,0.0005087652,0.00011387998,0.00017859803],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00032132288,0.00029398245,0.00051072665,0.00015945768,0.00013263384,0.00004795247,0.00029544262,0.00019325566,0.00016607887],"category_scores_gemma":[0.0002361155,0.0002596827,0.00018496782,0.00040890984,0.00014845912,0.00016807047,0.00022056996,0.00020046333,0.000061077066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006654043,0.000080984915,0.0022356235,0.00037514154,0.00016815521,0.000032822576,0.002428568,0.00000477213,0.0010367159,0.96768683,0.022532573,0.0033512465],"study_design_scores_gemma":[0.0008184003,0.00013849825,0.0065300833,0.000108663786,0.000070549926,0.000023752567,0.00037990577,0.00028360236,0.002766392,0.98129946,0.0072354963,0.0003451915],"about_ca_topic_score_codex":0.000056436802,"about_ca_topic_score_gemma":0.000013263809,"teacher_disagreement_score":0.015297076,"about_ca_system_score_codex":0.00002415843,"about_ca_system_score_gemma":0.00006466345,"threshold_uncertainty_score":0.9999855},"labels":[],"label_agreement":null},{"id":"W4319953680","doi":"10.1007/s40304-022-00316-4","title":"Quantum N-toroidal Algebras and Extended Quantized GIM Algebras of N-fold Affinization","year":2023,"lang":"en","type":"article","venue":"Communications in Mathematics and Statistics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Simons Foundation","keywords":"Toroid; Quantum; Pure mathematics; Generalization; Quotient; Physics; Lie algebra; Non-associative algebra; Mathematics; Quantum mechanics; Lie conformal algebra; Mathematical analysis; Plasma","score_opus":0.06722234121905084,"score_gpt":0.34782054013432523,"score_spread":0.2805981989152744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319953680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8990987,0.0013008312,0.09659061,0.0005387645,0.0003026496,0.0009452796,0.00018104602,0.00032266916,0.00071944227],"genre_scores_gemma":[0.78941274,0.0023500973,0.20800455,0.0000147504015,0.000015185651,0.000036819678,0.000048062455,0.00005368238,0.000064092834],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984114,0.000106606465,0.0007748329,0.00021391161,0.00026005186,0.00023317027],"domain_scores_gemma":[0.9962267,0.0021538553,0.0003259825,0.0010633519,0.00015470106,0.00007540092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000628569,0.00020663046,0.00047811985,0.00022280376,0.00015334177,0.00005727114,0.0004536334,0.00012887151,0.000013915057],"category_scores_gemma":[0.0012622979,0.00019898369,0.000035422385,0.00047940534,0.0002928346,0.00008208433,0.00046227197,0.00020596385,0.0000029855737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000076288047,0.00014586122,0.00036002076,0.00030400328,0.000032782857,0.0000017170048,0.0024853873,0.0000036532044,0.00011932085,0.99450505,0.00052301184,0.001511543],"study_design_scores_gemma":[0.0006042992,0.000056572033,0.0013551468,0.00014238793,0.000053231488,0.000006617402,0.00094125984,0.0906846,0.000047752328,0.9058139,0.00011021532,0.00018407135],"about_ca_topic_score_codex":0.000025611387,"about_ca_topic_score_gemma":0.00006905567,"teacher_disagreement_score":0.11141394,"about_ca_system_score_codex":0.000025626861,"about_ca_system_score_gemma":0.000053320287,"threshold_uncertainty_score":0.81143194},"labels":[],"label_agreement":null},{"id":"W4321276215","doi":"10.48550/arxiv.2302.07918","title":"A universal sheaf of algebras governing representations of vector fields on quasi-projective varieties","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Sheaf; Universal enveloping algebra; Tensor product; Algebra over a field; Associative property; Variety (cybernetics); Lie algebra; Projective variety; Non-associative algebra","score_opus":0.12871709792411806,"score_gpt":0.25205841649266214,"score_spread":0.12334131856854408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4321276215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9540101,0.000015087245,0.040370613,0.000056142202,0.0010915085,0.00046563733,0.00010977204,0.00014141605,0.0037396746],"genre_scores_gemma":[0.99766505,0.000051138617,0.00029148115,0.000008342301,0.00008422851,0.0000015960346,0.000018715993,0.00004117233,0.0018382627],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984397,0.00016077084,0.00033848104,0.0006320436,0.00019896927,0.00023003492],"domain_scores_gemma":[0.9973102,0.0008870932,0.0006162531,0.00085796777,0.0002555825,0.00007287692],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017117232,0.0002920645,0.0005899454,0.0002545978,0.00009437194,0.000015546288,0.00058082916,0.0004209032,0.00008795678],"category_scores_gemma":[0.0003746872,0.00032645295,0.0003467651,0.00044460784,0.0001822714,0.000090906295,0.0006872026,0.00058505207,0.000008633425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023025704,0.00014152759,0.00089056103,0.0003117924,0.00039320873,0.000037106478,0.0020063382,0.016155679,0.000017503608,0.9793088,0.00048443076,0.000022832312],"study_design_scores_gemma":[0.0006427152,0.00027118498,0.0010991752,0.000235481,0.00030128832,7.6623917e-7,0.0026386476,0.0063362303,0.0005218655,0.98763525,0.000017604565,0.0002997819],"about_ca_topic_score_codex":0.0014242249,"about_ca_topic_score_gemma":0.0001082466,"teacher_disagreement_score":0.043654915,"about_ca_system_score_codex":0.00018332139,"about_ca_system_score_gemma":0.0002652801,"threshold_uncertainty_score":0.99991876},"labels":[],"label_agreement":null},{"id":"W4324107084","doi":"10.48550/arxiv.2303.05521","title":"Quiver algebras and their representations for arbitrary quivers","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Eidgenössische Technische Hochschule Zürich; National Natural Science Foundation of China","keywords":"Quiver; Superpotential; Pure mathematics; Mathematics; Trigonometry; Representation theory; Focus (optics); Algebra over a field; Physics; Supersymmetry; Geometry; Mathematical physics","score_opus":0.17621701785621152,"score_gpt":0.24889537541599896,"score_spread":0.07267835755978744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4324107084","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95950586,0.00007312326,0.035738356,0.00017388246,0.0014739229,0.0010194571,0.00016790339,0.00039437378,0.0014530992],"genre_scores_gemma":[0.99575615,0.00018228957,0.0006533265,0.000052378204,0.00020349557,0.000007666912,0.000050489507,0.00006731132,0.0030269108],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984202,0.00007497852,0.00022228876,0.00089132274,0.00006688242,0.00032437313],"domain_scores_gemma":[0.99799657,0.0007439485,0.0002352856,0.00074337504,0.00013117238,0.00014967311],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016221564,0.0003531938,0.00043739067,0.00019019448,0.00023657533,0.00006328251,0.00047947827,0.00036622002,0.000042607106],"category_scores_gemma":[0.00015045235,0.0003601648,0.0003020931,0.00022018727,0.00016186612,0.00013614498,0.0008099028,0.00039815315,0.000011076007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007098709,0.000033243123,0.00042860414,0.00018467088,0.0002846576,0.000026354617,0.0006678923,0.001174129,0.000008824049,0.99490285,0.0021537778,0.00006401783],"study_design_scores_gemma":[0.00070553226,0.000039447477,0.0003623168,0.00007123867,0.0001939364,0.0000020732357,0.0012803957,0.00699074,0.00008125502,0.9896689,0.0002279735,0.00037620746],"about_ca_topic_score_codex":0.00017030597,"about_ca_topic_score_gemma":0.00005524375,"teacher_disagreement_score":0.03625025,"about_ca_system_score_codex":0.00010031399,"about_ca_system_score_gemma":0.00012841873,"threshold_uncertainty_score":0.999885},"labels":[],"label_agreement":null},{"id":"W4327593008","doi":"10.1088/1742-5468/acb7d7","title":"Fusion hierarchies, T-systems and Y-systems for the dilute A2(2) loop models on a strip","year":2023,"lang":"en","type":"article","venue":"Journal of Statistical Mechanics Theory and Experiment","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Leibniz-Gemeinschaft; Natural Sciences and Engineering Research Council of Canada; Université de Montréal","keywords":"Hierarchy; Loop (graph theory); Boundary (topology); Boundary value problem; Mathematics; Lambda; Transfer (computing); Work (physics); Pure mathematics; Transfer matrix; Mathematical analysis; Physics; Mathematical physics; Combinatorics; Quantum mechanics; Computer science","score_opus":0.05430270408726508,"score_gpt":0.32371289043996954,"score_spread":0.2694101863527045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4327593008","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09972228,0.0033789873,0.8932365,0.0002256942,0.0025107167,0.00074959337,0.00008604501,0.000030069521,0.000060114588],"genre_scores_gemma":[0.99765986,0.00086560665,0.00088123395,0.000046086614,0.0003192781,0.000052634303,0.0000021142273,0.000029207938,0.00014396467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847317,0.00022677246,0.00050135184,0.00016871218,0.00038534444,0.00024464412],"domain_scores_gemma":[0.9959928,0.0033349653,0.00024573607,0.00017416979,0.00009933242,0.0001530367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017379083,0.00017883479,0.00037310753,0.00007867272,0.00025820613,0.00011828431,0.00015273089,0.000086626766,0.000007415476],"category_scores_gemma":[0.0003758587,0.00010448586,0.000060185586,0.000077699384,0.000046813482,0.000073253796,0.000086591106,0.00020198761,7.380226e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00062528846,0.000046727724,1.0516362e-7,0.000079425765,0.00010720406,0.000011553166,0.0008813514,0.00036109766,0.0003897309,0.9947745,0.0011254894,0.0015974892],"study_design_scores_gemma":[0.0008463751,0.00077395665,0.0000012017658,0.00010931085,0.00007315852,0.00004008927,0.0020885759,0.09098797,0.00017749837,0.90437007,0.0004179759,0.00011380262],"about_ca_topic_score_codex":0.000005014142,"about_ca_topic_score_gemma":1.5156077e-7,"teacher_disagreement_score":0.8979376,"about_ca_system_score_codex":0.000038648624,"about_ca_system_score_gemma":0.00003495833,"threshold_uncertainty_score":0.42608097},"labels":[],"label_agreement":null},{"id":"W4360612392","doi":"10.1007/s11005-023-01655-1","title":"Gauging noninvertible defects: a 2-categorical perspective","year":2023,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Categorical variable; Mathematics; Pure mathematics; Perspective (graphical); Category theory; Generalization; Object (grammar); Symmetry (geometry); Algebra over a field; Anomaly (physics); Computation; Cohomology; Computer science; Mathematical analysis; Physics; Geometry; Artificial intelligence; Algorithm; Quantum mechanics","score_opus":0.044100880985424765,"score_gpt":0.31910175698408755,"score_spread":0.2750008759986628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4360612392","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9286826,0.00001607612,0.059254505,0.002497749,0.00042850702,0.000491647,0.0000019453234,0.00053073256,0.008096222],"genre_scores_gemma":[0.9957324,0.0000030684914,0.0030246016,0.0006789902,0.00034773222,0.00006209474,0.000002253874,0.00006138369,0.000087421184],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99819195,0.00007756376,0.00035761064,0.00037424325,0.00045083332,0.0005478246],"domain_scores_gemma":[0.99849343,0.0008650295,0.000084645944,0.00042164235,0.00004272203,0.0000925242],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002719848,0.0002536353,0.00044239254,0.00010350947,0.000092046925,0.000056095083,0.00030557052,0.00009930647,0.00008689083],"category_scores_gemma":[0.00042423522,0.00022237039,0.00017264494,0.000872607,0.000102789796,0.00013577295,0.00015915876,0.0003911788,0.00031060228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010703557,0.000096378055,0.0000930757,0.0001158369,0.000026806263,0.000048807793,0.0017842595,0.00009558054,0.00071421,0.9947671,0.0021273533,0.00011987376],"study_design_scores_gemma":[0.00045828984,0.000022908578,0.00008702179,0.00006461445,0.000026088564,0.000006231345,0.0004694053,0.0062223915,0.0006073436,0.991759,0.000016554037,0.00026017797],"about_ca_topic_score_codex":0.000013994646,"about_ca_topic_score_gemma":0.000001125596,"teacher_disagreement_score":0.06704984,"about_ca_system_score_codex":0.00020349503,"about_ca_system_score_gemma":0.000025346862,"threshold_uncertainty_score":0.90680015},"labels":[],"label_agreement":null},{"id":"W4360981001","doi":"10.1007/s00220-023-04670-4","title":"Lagrangian Grassmannians, CKP Hierarchy and Hyperdeterminantal Relations","year":2023,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Grassmannian; Linear subspace; Mathematics; Symplectic geometry; Symplectic vector space; Projection (relational algebra); Combinatorics; Symplectic manifold; Pure mathematics; Symplectic representation","score_opus":0.07928121037031513,"score_gpt":0.354375575988924,"score_spread":0.2750943656186089,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4360981001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98980904,0.000107346845,0.002150729,0.0012120836,0.000089720146,0.00072208984,0.0000066972925,0.00027403905,0.0056282287],"genre_scores_gemma":[0.99025345,0.00006083049,0.0091785295,0.000021579395,0.000041872387,0.000129423,0.000008705873,0.000034065084,0.00027153836],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987711,0.00016663656,0.0004020974,0.0002074944,0.00021000348,0.00024267928],"domain_scores_gemma":[0.9965019,0.0019288834,0.00008059878,0.001369906,0.00004602003,0.0000726491],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004065093,0.0001620946,0.00028694735,0.000107420456,0.00025890337,0.000053915388,0.0006194306,0.0000842755,0.00002079769],"category_scores_gemma":[0.0005413407,0.00014935617,0.000066960434,0.00068171276,0.0002224787,0.00016866969,0.00054124685,0.00033442077,0.00010227239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000035804767,0.00026806514,0.0011208096,0.00004762407,0.000016625158,0.000002586776,0.0028586606,0.000004056341,0.000030162642,0.99316,0.00025599508,0.002231804],"study_design_scores_gemma":[0.0003148501,0.000036995287,0.0025003862,0.00010154756,0.000037501388,0.0000041412995,0.0007954983,0.008249254,0.000013851508,0.98768187,0.00010259595,0.00016151053],"about_ca_topic_score_codex":0.000008262927,"about_ca_topic_score_gemma":0.000015810905,"teacher_disagreement_score":0.008245197,"about_ca_system_score_codex":0.00004359977,"about_ca_system_score_gemma":0.000028435426,"threshold_uncertainty_score":0.60905683},"labels":[],"label_agreement":null},{"id":"W4362554482","doi":"10.1007/s00031-022-09787-9","title":"Modular Tensor Categories, Subcategories, and Galois Orbits","year":2023,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Science Research of Jiangsu Higher Education Institutions of China; Natural Science Foundation of Jiangsu Province; National Natural Science Foundation of China; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Pure mathematics; Galois module; Tensor (intrinsic definition); Modular design; Tensor product; Algebra over a field; Galois group; Differential Galois theory; Transitive relation; Grading (engineering); Galois cohomology; Computer science; Combinatorics; Programming language","score_opus":0.03587628376501241,"score_gpt":0.2779699164759974,"score_spread":0.242093632710985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4362554482","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9873811,0.00007910011,0.008828293,0.00069482735,0.0005042964,0.000388863,0.000013544932,0.0005049718,0.0016049802],"genre_scores_gemma":[0.9990928,0.00010560833,0.00023336585,0.00006283159,0.00010673983,0.000042890406,0.00006353487,0.000030269848,0.0002619546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884003,0.000035263158,0.00034378865,0.00018607466,0.00030074953,0.00029407686],"domain_scores_gemma":[0.99944115,0.000098817414,0.00006558498,0.00021720272,0.000081592916,0.00009567421],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024171804,0.00018498216,0.00023246961,0.000121685116,0.00020462427,0.000069610476,0.00012898888,0.00012407638,0.00005428232],"category_scores_gemma":[0.000046556954,0.00016039374,0.00005612456,0.00044314793,0.000055201144,0.00038909962,0.000021754078,0.00014247664,0.000044201886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021753722,0.0000117927975,0.0001011839,0.00013202823,0.000025596944,0.0000028931165,0.0048296447,0.000015217374,0.00015310381,0.9924304,0.00074830366,0.0015281108],"study_design_scores_gemma":[0.00071224873,0.000048432652,0.002042966,0.000010764078,0.00003457256,0.0000152449375,0.00081706204,0.0018087556,0.000666565,0.99107665,0.0025470466,0.00021971027],"about_ca_topic_score_codex":0.000053889482,"about_ca_topic_score_gemma":0.000015595708,"teacher_disagreement_score":0.011711681,"about_ca_system_score_codex":0.00003365593,"about_ca_system_score_gemma":0.000027913924,"threshold_uncertainty_score":0.6540667},"labels":[],"label_agreement":null},{"id":"W4362656636","doi":"10.21468/scipostphys.14.4.063","title":"Supersymmetric ground states of 3d $\\mathcal{N}=4$ SUSY gauge theories and Heisenberg algebras","year":2023,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique","keywords":"Physics; Algorithm; Mathematical physics; Computer science","score_opus":0.026563944266596282,"score_gpt":0.28902457372329987,"score_spread":0.26246062945670356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4362656636","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99758697,0.00021266734,0.00021534532,0.0001232537,0.0005326427,0.00021205725,0.000046628364,0.00015704111,0.0009133968],"genre_scores_gemma":[0.9987878,0.00013048862,0.00041804567,0.0000388866,0.00024949136,0.000012241339,0.000029328898,0.000049564635,0.00028413604],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985438,0.00006326636,0.00031872035,0.00030074295,0.00040813384,0.0003653124],"domain_scores_gemma":[0.99851,0.00071554736,0.00013445117,0.00040595804,0.00013910409,0.00009491944],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026364435,0.00023654563,0.00040670604,0.00011262657,0.00015667187,0.00006405799,0.00022902442,0.00009376751,0.000031085416],"category_scores_gemma":[0.00016975528,0.00020017991,0.0000952266,0.0010337178,0.00024227165,0.00019710588,0.00022334263,0.00015001565,0.000019241505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024631638,0.00004492801,0.0005941927,0.00015701234,0.00008191099,0.0000040303457,0.0018018462,0.000006813369,0.00019141522,0.994072,0.0006179003,0.0024032805],"study_design_scores_gemma":[0.0004220374,0.00010597871,0.0012225049,0.00003432299,0.000060574523,0.0000028911827,0.0008180954,0.00028755513,0.00208312,0.9945823,0.00015982368,0.00022080353],"about_ca_topic_score_codex":0.00008415167,"about_ca_topic_score_gemma":0.00000794338,"teacher_disagreement_score":0.002182477,"about_ca_system_score_codex":0.000026288855,"about_ca_system_score_gemma":0.000049653016,"threshold_uncertainty_score":0.81631},"labels":[],"label_agreement":null},{"id":"W4365143400","doi":"10.1090/tran/9472","title":"Azumaya algebras and obstructions to quadratic pairs over a scheme","year":2025,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Quadratic equation; Mathematics; Pure mathematics; Affine transformation; Scheme (mathematics); Involution (esoterism); Brauer group; Quadratic algebra; Construct (python library); Algebra over a field; Division algebra; Algebra representation; Mathematical analysis; Computer science; Geometry","score_opus":0.023133612092674824,"score_gpt":0.3053335891895327,"score_spread":0.28219997709685785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4365143400","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76071125,0.00006866181,0.23425917,0.0020545595,0.00061786035,0.0012882481,0.00013256725,0.00017549125,0.00069219345],"genre_scores_gemma":[0.84734166,0.000053100586,0.15089191,0.00036890403,0.000085228894,0.00023093828,0.000001804174,0.00005310963,0.000973352],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99780476,0.000118457334,0.00072383066,0.0005003716,0.0005092977,0.0003432797],"domain_scores_gemma":[0.99724764,0.0007950859,0.0004553719,0.0012116489,0.00012374493,0.00016648344],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024416237,0.00043076405,0.0010059591,0.00006135093,0.0003109896,0.00006071301,0.00068328006,0.00021857659,0.00019612438],"category_scores_gemma":[0.00021308946,0.00032049234,0.0009514743,0.0005467907,0.00070696656,0.000049715763,0.00029308398,0.00084792095,0.0000030840565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064022766,0.0006063572,0.00012884602,0.0031454857,0.0022939106,5.257827e-7,0.009532726,0.0005458269,0.0003204773,0.9766469,0.0034739778,0.0032409679],"study_design_scores_gemma":[0.00023504472,0.00005589929,0.0003526794,0.00037721812,0.0005662646,0.000005675596,0.0012434798,0.0025080445,0.00027847948,0.99396753,0.0000789529,0.00033073637],"about_ca_topic_score_codex":0.00018031163,"about_ca_topic_score_gemma":0.000013710174,"teacher_disagreement_score":0.086630404,"about_ca_system_score_codex":0.0001486552,"about_ca_system_score_gemma":0.0001960936,"threshold_uncertainty_score":0.9999247},"labels":[],"label_agreement":null},{"id":"W4366783577","doi":"10.1016/j.jpaa.2023.107452","title":"Alternating submodules for partition algebras, rook algebras, and rook-Brauer algebras","year":2023,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Partition (number theory); Lift (data mining); Pure mathematics; Generating set of a group; Quotient; Algebra over a field; Combinatorics; Computer science","score_opus":0.028505016953126915,"score_gpt":0.28172012185955364,"score_spread":0.25321510490642674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4366783577","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99456495,0.0009233824,0.0017808973,0.00091362745,0.00067326723,0.000579922,0.000018240025,0.0001189946,0.00042670246],"genre_scores_gemma":[0.99398625,0.00040399734,0.0034980092,0.0003096393,0.0014907408,0.000057628222,0.000015135521,0.00009668999,0.00014189133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99727535,0.000059091395,0.001014848,0.00044837705,0.00059637486,0.0006059697],"domain_scores_gemma":[0.99767363,0.0006863728,0.00079492555,0.0002732048,0.0002500682,0.0003217971],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009238933,0.00044479236,0.0008090983,0.00031097632,0.0003610183,0.000233424,0.0003327285,0.00027510533,0.000053063435],"category_scores_gemma":[0.00030579837,0.00036904344,0.00023531863,0.00031654703,0.00012595468,0.00034170572,0.00017451339,0.0004329806,0.000008348775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015478457,0.00006335235,0.0005268148,0.00023322491,0.0002573207,0.000016327675,0.0007598969,0.000012542845,0.003033665,0.97950995,0.006318469,0.009113673],"study_design_scores_gemma":[0.0020031834,0.00023854837,0.0015223415,0.00013223784,0.00022362909,0.00010701957,0.0007091688,0.00022767481,0.007953488,0.98504573,0.001415008,0.00042196427],"about_ca_topic_score_codex":0.0000049948394,"about_ca_topic_score_gemma":0.000008948825,"teacher_disagreement_score":0.0086917095,"about_ca_system_score_codex":0.000048772887,"about_ca_system_score_gemma":0.0000760947,"threshold_uncertainty_score":0.99987614},"labels":[],"label_agreement":null},{"id":"W4366990905","doi":"10.1017/s1474748023000166","title":"THE QUANTUM ISOMERIC SUPERCATEGORY","year":2023,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quantum; Pure mathematics; Categorical variable; Skein; Algebra over a field; Affine transformation; Representation theory; Quantum mechanics; Physics","score_opus":0.040942515374257575,"score_gpt":0.29775398041731965,"score_spread":0.25681146504306207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4366990905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9938546,0.0002766588,0.00048910745,0.0011291228,0.003389834,0.00018793928,0.0000032964897,0.000017040127,0.00065242755],"genre_scores_gemma":[0.99727577,0.00021228346,0.0019615693,0.000018969255,0.00019144379,0.0000024554258,1.8717158e-7,0.000026855105,0.0003104677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975973,0.00006112563,0.001213937,0.00008147169,0.0008288281,0.00021736017],"domain_scores_gemma":[0.99676627,0.0007309961,0.0014913992,0.00063484674,0.00031540863,0.00006107314],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012792443,0.00017266798,0.0005528977,0.00011597049,0.000185881,0.000025485653,0.0012666738,0.000092462644,0.000012102733],"category_scores_gemma":[0.0014512915,0.000082800696,0.0004603587,0.00048396035,0.00034553488,0.00017554604,0.00021795901,0.00029733262,0.000004827743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029934206,0.00014215194,0.000036780853,0.00039132935,0.00021729364,0.0000054091456,0.0015069838,0.00022877633,0.0019893572,0.9902703,0.004709912,0.00047172557],"study_design_scores_gemma":[0.00046185465,0.00009797754,0.00013753785,0.00030205445,0.00014534498,0.000067177316,0.0012804541,0.0004993982,0.0042660036,0.99121785,0.001428135,0.00009620122],"about_ca_topic_score_codex":0.000007552203,"about_ca_topic_score_gemma":0.0000043191585,"teacher_disagreement_score":0.0034211953,"about_ca_system_score_codex":0.000035135192,"about_ca_system_score_gemma":0.00022100288,"threshold_uncertainty_score":0.33765143},"labels":[],"label_agreement":null},{"id":"W4366998076","doi":"10.1090/btran/100","title":"Lattice theory of torsion classes: Beyond 𝜏-tilting theory","year":2023,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society Series B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Japan Society for the Promotion of Science; Norges Forskningsråd; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.02195659542075877,"score_gpt":0.28314968478811975,"score_spread":0.26119308936736096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4366998076","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90923196,0.000028855738,0.087290265,0.00060290645,0.00029163144,0.00039091022,0.000027314582,0.00020940024,0.001926749],"genre_scores_gemma":[0.98288983,0.00004441464,0.01562331,0.00008084398,0.000042601234,0.000024758561,9.720673e-7,0.000044622226,0.0012486511],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982993,0.00022610222,0.0005412121,0.00020003367,0.0004459385,0.00028742445],"domain_scores_gemma":[0.9967568,0.0019795466,0.00044723175,0.0006493081,0.00010451726,0.00006258627],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083746394,0.00020293187,0.00055452046,0.00003334813,0.00024720305,0.00001467505,0.00049876445,0.00008009489,0.00024564375],"category_scores_gemma":[0.0003268961,0.00013764291,0.00065071596,0.000842637,0.0010689726,0.00013589207,0.00006556742,0.00025322053,0.000008518256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008361079,0.00011284723,0.00002162971,0.00038024125,0.00024136357,2.1296252e-7,0.004547829,0.000041508694,0.001182247,0.991823,0.00025988478,0.0013056129],"study_design_scores_gemma":[0.00018366707,0.00011065259,0.0001596867,0.00008669497,0.00021926824,0.000005739418,0.014243412,0.0003582306,0.005344431,0.97909874,0.00004860144,0.00014085796],"about_ca_topic_score_codex":0.00001033825,"about_ca_topic_score_gemma":0.0000010451663,"teacher_disagreement_score":0.073657855,"about_ca_system_score_codex":0.00003829311,"about_ca_system_score_gemma":0.000054177246,"threshold_uncertainty_score":0.5612915},"labels":[],"label_agreement":null},{"id":"W4367060450","doi":"10.48550/arxiv.2304.12341","title":"Determinants in self-dual N=4 SYM and twistor space","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Twistor theory; Twistor space; Duality (order theory); Mathematics; TRACE (psycholinguistics); Rank (graph theory); Mathematical physics; Grassmannian; Matrix (chemical analysis); Pure mathematics; Space (punctuation); Symmetry (geometry); Conjecture; Combinatorics; Geometry","score_opus":0.10455262640630938,"score_gpt":0.22475782484057155,"score_spread":0.12020519843426217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4367060450","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99759364,0.000037797636,0.00039438438,0.000029500972,0.001012977,0.0003226522,0.000012291122,0.00024031958,0.0003564406],"genre_scores_gemma":[0.99753374,0.00013762122,0.00023392503,0.000012861711,0.000111190515,0.0000015262084,0.0000023742716,0.00004895473,0.0019177882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985345,0.000090822614,0.00021113473,0.000747038,0.00008875684,0.00032776315],"domain_scores_gemma":[0.9987938,0.00024277317,0.00019571865,0.0005907333,0.000052480907,0.00012450153],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00018569914,0.00031447795,0.0004657787,0.00022027832,0.000073636635,0.000040299983,0.00034620063,0.00040813067,0.000019034751],"category_scores_gemma":[0.00009279545,0.00035479595,0.00011393828,0.00024467448,0.0000708787,0.00008032055,0.001050763,0.0005290868,0.000021419282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007383322,0.000106283456,0.020445809,0.0005343503,0.00011144714,0.0011631773,0.0012882174,0.0012009667,0.0000056086988,0.9744767,0.0005190405,0.00007456073],"study_design_scores_gemma":[0.00067309465,0.00003692184,0.0029226542,0.00016055445,0.00011482728,0.0000063825128,0.00020781784,0.011072493,0.000028899256,0.984269,0.00009858284,0.00040877194],"about_ca_topic_score_codex":0.0002894359,"about_ca_topic_score_gemma":0.00027673412,"teacher_disagreement_score":0.017523155,"about_ca_system_score_codex":0.00022306127,"about_ca_system_score_gemma":0.000115990224,"threshold_uncertainty_score":0.9998904},"labels":[],"label_agreement":null},{"id":"W4367325888","doi":"10.4153/s0008439523000334","title":"Irrational braided generalized near-groups","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Irrational number; Equivalence (formal languages); Pure mathematics; Dimension (graph theory); Group (periodic table); Integer (computer science); Algebra over a field; Geometry","score_opus":0.037207658639933354,"score_gpt":0.2769793301565046,"score_spread":0.23977167151657125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4367325888","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9604275,0.000027221913,0.00083025155,0.014235723,0.00059267035,0.00053342694,0.000030178733,0.000427667,0.022895329],"genre_scores_gemma":[0.9839047,0.000003594255,0.004895262,0.0014761622,0.0003923988,0.00010348479,0.000042387623,0.00008488796,0.009097103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981615,0.00007470778,0.0004198308,0.0003161067,0.00039262962,0.0006352063],"domain_scores_gemma":[0.998293,0.0004998012,0.00007125503,0.00043493955,0.00008345839,0.0006175557],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00039233037,0.00023243131,0.00035279276,0.000132537,0.00031136235,0.00014953103,0.00032944168,0.00018843544,0.024869328],"category_scores_gemma":[0.0010600996,0.000210841,0.00014880001,0.00035482444,0.00011482136,0.00003298407,0.000059839032,0.00020296435,0.013724237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046048513,0.000011399028,0.000013286982,0.00004283752,0.000024765031,0.000031974083,0.00021838359,0.000008073772,0.000013913314,0.8585639,0.14093934,0.00012751558],"study_design_scores_gemma":[0.00041862926,0.000020062613,0.00011936753,0.000030509425,0.000020600573,0.000019518407,0.00006668405,0.0011474104,0.000031358944,0.95891166,0.038965493,0.00024869342],"about_ca_topic_score_codex":0.00038015432,"about_ca_topic_score_gemma":0.00055008754,"teacher_disagreement_score":0.10197385,"about_ca_system_score_codex":0.00013688182,"about_ca_system_score_gemma":0.0002523027,"threshold_uncertainty_score":0.9870437},"labels":[],"label_agreement":null},{"id":"W4367596768","doi":"10.1090/cams/19","title":"Type 𝐼𝐼 quantum subgroups of 𝔰𝔩_{𝔑}. ℑ: Symmetries of local modules","year":2023,"lang":"lv","type":"article","venue":"Communications of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Homogeneous space; Quantum; Type (biology); Pure mathematics; Physics; Theoretical physics; Mathematics; Quantum mechanics; Geology; Geometry; Paleontology","score_opus":0.048511325444275735,"score_gpt":0.3204909085018208,"score_spread":0.2719795830575451,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4367596768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9828689,0.0015226506,0.008700326,0.0040687956,0.00033478494,0.0008329382,0.0001504096,0.00011141899,0.0014097639],"genre_scores_gemma":[0.9814531,0.0014660911,0.016755398,0.00006162336,0.000029577148,0.000020036096,0.000010287384,0.000059536134,0.00014432144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968923,0.00041581766,0.0012963677,0.00025360065,0.0007551614,0.00038677282],"domain_scores_gemma":[0.987272,0.003967302,0.0018915674,0.00611529,0.0006550021,0.000098806915],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00097225915,0.00032644003,0.0013504727,0.000081151615,0.00026899794,0.000018979808,0.004637949,0.00016917645,0.000048049886],"category_scores_gemma":[0.0020484622,0.00024333481,0.0009820107,0.0027931759,0.006179167,0.00007502306,0.0034783015,0.00047992618,0.00002137885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032838543,0.00051661744,0.00023691304,0.0011091166,0.0005332259,7.966918e-8,0.0035345592,0.00007110654,0.00058781164,0.9890261,0.003452801,0.00089882215],"study_design_scores_gemma":[0.00031998465,0.00022431317,0.0015603717,0.0005254535,0.00041692037,0.0000025254221,0.013661822,0.023554783,0.0026245653,0.9567018,0.00016738285,0.00024007352],"about_ca_topic_score_codex":0.00017274088,"about_ca_topic_score_gemma":0.0000050619815,"teacher_disagreement_score":0.032324303,"about_ca_system_score_codex":0.00008367628,"about_ca_system_score_gemma":0.00018427678,"threshold_uncertainty_score":0.99652547},"labels":[],"label_agreement":null},{"id":"W4375957424","doi":"10.48550/arxiv.2305.03876","title":"The nil-Brauer category","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; National Science Foundation","keywords":"Mathematics; Morphism; Categorification; Brauer group; Rank (graph theory); Pure mathematics; Basis (linear algebra); Group (periodic table); Quantum; Discrete mathematics; Combinatorics; Quantum mechanics; Physics; Geometry","score_opus":0.16130601787805846,"score_gpt":0.22584818956718328,"score_spread":0.06454217168912482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4375957424","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9702423,0.00014898481,0.011841548,0.00044430714,0.007218886,0.0007618247,0.000022737126,0.0008007662,0.008518632],"genre_scores_gemma":[0.9792632,0.00021764459,0.000041431344,0.00003280379,0.0002998228,0.000002440627,0.000008068552,0.00006449771,0.02007011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984504,0.00012621612,0.00022739691,0.00066713896,0.00012689536,0.00040193557],"domain_scores_gemma":[0.9976181,0.00061752164,0.0002511622,0.00126735,0.00012699352,0.0001188888],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00029684883,0.00032683052,0.00033137837,0.0000894698,0.00038972317,0.000098489305,0.001144755,0.00039310934,0.000053816362],"category_scores_gemma":[0.0001645503,0.00026835568,0.00030331174,0.0002688209,0.0001631922,0.0000621106,0.0014061091,0.00075934804,0.00015235746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030447543,0.000018382983,0.00016653979,0.000057360674,0.00015080415,0.00010444875,0.00015014003,0.0028193682,0.0000013838732,0.9899751,0.0064611495,0.00006488257],"study_design_scores_gemma":[0.00026459346,0.000017050275,0.00016536687,0.000038013717,0.00013231575,0.0000018446473,0.00029003518,0.0042306473,0.0000219399,0.9932066,0.0013194237,0.00031215203],"about_ca_topic_score_codex":0.00019809153,"about_ca_topic_score_gemma":0.00010105339,"teacher_disagreement_score":0.011800116,"about_ca_system_score_codex":0.00016430893,"about_ca_system_score_gemma":0.00016759873,"threshold_uncertainty_score":0.9999769},"labels":[],"label_agreement":null},{"id":"W4376105370","doi":"10.1112/blms.12850","title":"Affine Noetherian algebras and extensions of the base field II","year":2023,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Noetherian; Mathematics; Field (mathematics); Affine transformation; Prime (order theory); Pure mathematics; Base (topology); Ring (chemistry); Algebra over a field; Finitely-generated abelian group; Combinatorics; Mathematical analysis","score_opus":0.02247810951327778,"score_gpt":0.2599088996497036,"score_spread":0.23743079013642582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376105370","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9746806,0.00006260563,0.00024067893,0.022688923,0.00030637486,0.00048245274,0.0000096910035,0.000062211664,0.0014664326],"genre_scores_gemma":[0.99043757,0.00003165218,0.0046735057,0.0006803223,0.00009024334,0.000020680915,4.8730686e-7,0.000034598528,0.004030933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986612,0.00009203678,0.0004253783,0.00018693467,0.00040751122,0.0002269051],"domain_scores_gemma":[0.99760157,0.0013295248,0.00023116451,0.00070887484,0.00007297487,0.000055863165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005025829,0.00016764105,0.00037213753,0.000010328217,0.0002639324,0.000011344419,0.00048070986,0.00015538603,0.0008484133],"category_scores_gemma":[0.0013505829,0.00008745005,0.00044571463,0.00023673501,0.00026220386,0.000009718003,0.00082019344,0.0002283007,0.000009385948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001775348,0.00013135075,0.000075196374,0.00041591807,0.00009335096,4.24206e-7,0.0018516226,0.000006255722,0.0016866579,0.89629054,0.09912182,0.00030909118],"study_design_scores_gemma":[0.00046364203,0.00005291362,0.0003459601,0.00019958468,0.000090530826,0.000006224591,0.00036084096,0.00036361316,0.007404597,0.98767835,0.0029198576,0.000113903974],"about_ca_topic_score_codex":0.000021133226,"about_ca_topic_score_gemma":0.0000015077355,"teacher_disagreement_score":0.096201956,"about_ca_system_score_codex":0.000012796088,"about_ca_system_score_gemma":0.000025458474,"threshold_uncertainty_score":0.92895305},"labels":[],"label_agreement":null},{"id":"W4376129135","doi":"10.1090/ert/632","title":"Realizations of 𝐴₁⁽¹⁾-modules in category 𝒪","year":2023,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science; Mathematics","score_opus":0.03682567443353796,"score_gpt":0.3280354882303737,"score_spread":0.29120981379683575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376129135","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98559475,0.000088795416,0.010073315,0.00073945307,0.00030298857,0.0007832417,0.000046402045,0.00007687149,0.0022941728],"genre_scores_gemma":[0.9970188,0.00021716524,0.001786231,0.00007072939,0.00007166746,0.00003933754,0.000009538582,0.000055550743,0.0007309929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996455,0.0007876826,0.0012205228,0.00037012534,0.0007784739,0.00038819632],"domain_scores_gemma":[0.99418455,0.0030489855,0.0013730086,0.0011213889,0.00018638335,0.00008567308],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014296991,0.00027839566,0.0009454942,0.00010015947,0.00013921996,0.000022785804,0.00071917096,0.00013796518,0.00025339957],"category_scores_gemma":[0.0018264945,0.00020977731,0.0007729145,0.0023319817,0.0015796695,0.00009777525,0.0004160703,0.0002967429,0.000024648096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057669768,0.0002556428,0.0011518619,0.0006776876,0.00022975182,7.285142e-7,0.01193881,0.00095142925,0.00083647453,0.98135084,0.0016133683,0.0009357416],"study_design_scores_gemma":[0.00043431186,0.00005512503,0.007526074,0.00024918103,0.00016125017,0.000002613123,0.022364506,0.0062736045,0.0025481123,0.96019053,0.000009645384,0.00018504022],"about_ca_topic_score_codex":0.00017697107,"about_ca_topic_score_gemma":0.0000038418552,"teacher_disagreement_score":0.021160299,"about_ca_system_score_codex":0.00009319899,"about_ca_system_score_gemma":0.000112979695,"threshold_uncertainty_score":0.85544705},"labels":[],"label_agreement":null},{"id":"W4376167225","doi":"10.48550/arxiv.2305.06031","title":"A facial order for torsion classes","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Torsion (gastropod); Lattice (music); Pure mathematics; Abelian group; Coxeter group; Combinatorics; Algebra over a field; Physics","score_opus":0.18088100700993986,"score_gpt":0.24904833247880864,"score_spread":0.06816732546886878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376167225","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9107259,0.000012903006,0.083479784,0.00007471182,0.0036577305,0.00083630177,0.00007410615,0.00043514074,0.0007034333],"genre_scores_gemma":[0.9918892,0.000046930923,0.0009581777,0.000026895355,0.0004224727,0.000005261787,0.000036368856,0.000065260196,0.0065494347],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986178,0.000049870254,0.00020331315,0.00071348145,0.000091023525,0.00032451056],"domain_scores_gemma":[0.9985403,0.00030299323,0.00021701216,0.00061037345,0.00022523827,0.00010410176],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00013673525,0.0003085097,0.00041194007,0.00014028166,0.0001711378,0.000050551047,0.00055336155,0.0004931289,0.00006742214],"category_scores_gemma":[0.00026323408,0.00032811053,0.0002994382,0.00020424231,0.00005933533,0.00007368245,0.00074079935,0.0003558924,0.00003338409],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000110951114,0.000046704285,0.0003120805,0.00024235359,0.00013670386,0.000026489535,0.00013077236,0.0032762324,0.0000072042862,0.99094737,0.0047027874,0.000060328795],"study_design_scores_gemma":[0.0006509238,0.000054541928,0.00006822188,0.000074778945,0.00018308025,5.990011e-7,0.00014489295,0.009749599,0.00005589353,0.98702395,0.0016288355,0.00036467446],"about_ca_topic_score_codex":0.00018647479,"about_ca_topic_score_gemma":0.00012208472,"teacher_disagreement_score":0.08252161,"about_ca_system_score_codex":0.0001610244,"about_ca_system_score_gemma":0.00017580557,"threshold_uncertainty_score":0.9999171},"labels":[],"label_agreement":null},{"id":"W4377989901","doi":"10.1090/proc/16548","title":"Classical freeness of orthosymplectic affine vertex superalgebras","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Vertex (graph theory); Affine transformation; Mathematics; Algebra over a field; Pure mathematics; Discrete mathematics; Graph","score_opus":0.025402161758185857,"score_gpt":0.28729181488128225,"score_spread":0.26188965312309637,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377989901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9970266,0.000008735013,0.00014521787,0.0010139991,0.00011265003,0.00030346707,0.000005836439,0.00014359932,0.0012398853],"genre_scores_gemma":[0.9949785,0.000013494049,0.0044186395,0.00008991525,0.00008057125,0.000032454507,5.8798287e-7,0.00004760695,0.00033823503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979987,0.00001547286,0.00059824635,0.00028209953,0.0007061356,0.00039932487],"domain_scores_gemma":[0.99817365,0.0006824355,0.00052268856,0.0002719129,0.00025265667,0.00009665562],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000446953,0.00023870997,0.00078038586,0.000037741098,0.00012325663,0.000023597553,0.0007264663,0.0000880023,0.00007918689],"category_scores_gemma":[0.0010814496,0.00015522276,0.00061415444,0.001380647,0.0007629615,0.000091102665,0.00043096536,0.0002508825,0.000008773546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025088031,0.000144033,0.0025977509,0.0005974194,0.00015370875,1.3898655e-7,0.0011363097,9.067016e-7,0.0058511687,0.9819156,0.0072090044,0.0003688585],"study_design_scores_gemma":[0.00030913507,0.000113752,0.0031413396,0.00012073105,0.00011789797,0.0000055791647,0.0010604284,0.0010489939,0.0071352,0.98671216,0.000056967587,0.00017783907],"about_ca_topic_score_codex":0.000020034662,"about_ca_topic_score_gemma":7.001469e-7,"teacher_disagreement_score":0.0071520368,"about_ca_system_score_codex":0.00005135566,"about_ca_system_score_gemma":0.00004433775,"threshold_uncertainty_score":0.6329801},"labels":[],"label_agreement":null},{"id":"W4378700942","doi":"10.1016/j.aim.2023.109110","title":"Groupoids and skeletal categories form a pretorsion theory in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mi mathvariant=\"sans-serif\">Cat</mml:mi> </mml:math>","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Ministero dell’Istruzione, dell’Università e della Ricerca; Fonds De La Recherche Scientifique - FNRS","keywords":"Mathematics; Isomorphism (crystallography); Automorphism; Torsion (gastropod); Pure mathematics; Combinatorics; Discrete mathematics; Crystallography","score_opus":0.01524901433837429,"score_gpt":0.2650184405409094,"score_spread":0.24976942620253512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4378700942","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99348575,0.00056811207,0.0017667038,0.00008308117,0.0008701975,0.00018495318,0.000024595865,0.00021632006,0.0028002928],"genre_scores_gemma":[0.9874788,0.0011437188,0.010415646,0.00009224083,0.0002414529,0.00029253098,0.000042042513,0.0001526192,0.0001409276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971104,0.00008362942,0.0008921275,0.0005412094,0.000653516,0.00071908464],"domain_scores_gemma":[0.9973605,0.0011756286,0.00049547985,0.00077551464,0.000051439816,0.00014143303],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010990509,0.00042733608,0.00043843422,0.00019916153,0.00027264233,0.00015857404,0.000555319,0.00044674557,0.000048557216],"category_scores_gemma":[0.0007807741,0.0004421899,0.00019321009,0.00059211766,0.00031483325,0.00075152685,0.0004921235,0.0004372571,0.00011150413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007534824,0.00013470337,0.000021041411,0.0012818341,0.00006126243,0.00009610402,0.0072155367,0.00013366649,0.00010434153,0.98911655,0.00006998956,0.0016896424],"study_design_scores_gemma":[0.0006340765,0.00017344032,0.00003717285,0.000444539,0.000077992714,0.00008831068,0.003307063,0.20049886,0.0007194018,0.79320365,0.00045339155,0.00036208535],"about_ca_topic_score_codex":0.000043167016,"about_ca_topic_score_gemma":0.00011072338,"teacher_disagreement_score":0.2003652,"about_ca_system_score_codex":0.000039792816,"about_ca_system_score_gemma":0.00013356013,"threshold_uncertainty_score":0.999803},"labels":[],"label_agreement":null},{"id":"W4378766989","doi":"10.48550/arxiv.2305.17697","title":"Apartment classes of integral symplectic groups","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Deutsche Forschungsgemeinschaft; National Research Foundation; Westfälische Wilhelms-Universität Münster; Danmarks Grundforskningsfond; Natural Sciences and Engineering Research Council of Canada; McMaster University","keywords":"Apartment; Symplectic geometry; Mathematics; Pure mathematics; Discrete mathematics; Combinatorics; Engineering; Civil engineering","score_opus":0.18113569791891232,"score_gpt":0.2393249274935042,"score_spread":0.05818922957459188,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4378766989","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9857991,0.000028748256,0.010667064,0.00003612762,0.00173544,0.0003769634,0.000025004718,0.0002280282,0.001103542],"genre_scores_gemma":[0.9980681,0.000084370964,0.00018471712,0.000012772491,0.00012960062,0.0000021884284,0.000016814649,0.00004961185,0.0014518303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985404,0.00010240314,0.00030475116,0.00062542525,0.00012769221,0.0002993387],"domain_scores_gemma":[0.9982054,0.00035541216,0.00036676382,0.0008189501,0.00014978532,0.00010367945],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000160335,0.00032530617,0.0005618399,0.00020030714,0.00007613727,0.000026136184,0.0006556645,0.00033938137,0.00008180177],"category_scores_gemma":[0.0001478021,0.00033309197,0.0003446682,0.00033920066,0.000117429,0.000065124186,0.0009359041,0.0004980633,0.000025679863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048059628,0.00007767119,0.0009260327,0.00029415812,0.0002558207,0.00005050237,0.00019558895,0.002918999,0.000008878002,0.99448067,0.0007187852,0.000024840507],"study_design_scores_gemma":[0.0004080438,0.000077968274,0.0003767152,0.00015876502,0.00026961297,0.0000017212473,0.00026691527,0.004216689,0.00015483303,0.9937256,0.000046858408,0.00029625167],"about_ca_topic_score_codex":0.00015496425,"about_ca_topic_score_gemma":0.000080385675,"teacher_disagreement_score":0.012269012,"about_ca_system_score_codex":0.00022641776,"about_ca_system_score_gemma":0.00015201801,"threshold_uncertainty_score":0.9999121},"labels":[],"label_agreement":null},{"id":"W4378768616","doi":"10.48550/arxiv.2305.16662","title":"Simple smooth modules over the superconformal current algebra","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Simple (philosophy); Simple module; Tensor product; Algebra over a field; Virasoro algebra; Mathematics; Clifford algebra; Tensor (intrinsic definition); Superconformal algebra; Pure mathematics; Product (mathematics); Current algebra; Tensor product of modules; Algebra representation; Cellular algebra; Tensor product of Hilbert spaces; Tensor contraction; Geometry","score_opus":0.12350690507175562,"score_gpt":0.24281099901468062,"score_spread":0.119304093942925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4378768616","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98636305,0.00010087557,0.009242288,0.000054481487,0.0026733058,0.0005296347,0.00006622559,0.00035403227,0.0006160798],"genre_scores_gemma":[0.9984097,0.00023182765,0.00003575847,0.000047068803,0.0004231564,0.0000036951653,0.00004256724,0.00007001392,0.0007362178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812347,0.00011743625,0.00031440557,0.00074457814,0.00019580529,0.00050433166],"domain_scores_gemma":[0.9977942,0.00035420578,0.00024202425,0.0013414932,0.00012158844,0.00014645778],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026268788,0.00045866854,0.0004660711,0.00014125978,0.0002978923,0.00011454636,0.001291558,0.00034747465,0.00023364188],"category_scores_gemma":[0.00011021816,0.0003749472,0.00043465223,0.00030966685,0.00017110183,0.00016922853,0.0018767966,0.0009906988,0.000083529856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029952585,0.00004513275,0.0009456395,0.0001437246,0.00013868995,0.00003053515,0.00030852127,0.0062494585,0.0000012653659,0.98803264,0.003800608,0.00027384778],"study_design_scores_gemma":[0.00045562588,0.000023989556,0.0027268792,0.000067848974,0.00019828111,0.0000010747833,0.00021466153,0.02275994,0.000015330985,0.9708498,0.0022472434,0.00043932564],"about_ca_topic_score_codex":0.0003041721,"about_ca_topic_score_gemma":0.00010408955,"teacher_disagreement_score":0.017182825,"about_ca_system_score_codex":0.00017710222,"about_ca_system_score_gemma":0.00014942764,"threshold_uncertainty_score":0.99987024},"labels":[],"label_agreement":null},{"id":"W4379207607","doi":"10.3842/sigma.2023.036","title":"Explicit Central Elements of U&lt;sub&gt;q&lt;/sub&gt;(gl(N+1))","year":2023,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Minerva Foundation; National Science Foundation","keywords":"Mathematics; Physics; Pure mathematics; Combinatorics","score_opus":0.03809476875138391,"score_gpt":0.3635962821199063,"score_spread":0.3255015133685224,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4379207607","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91180825,0.0004799391,0.084918216,0.000324454,0.00027746265,0.0010045224,0.00012657532,0.0001745315,0.00088607054],"genre_scores_gemma":[0.94834054,0.00051152124,0.05030765,0.00006703771,0.00020171041,0.00034805515,0.000038749895,0.00003993693,0.00014482223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972328,0.00030621205,0.00086469646,0.0007040069,0.0003540281,0.0005382831],"domain_scores_gemma":[0.99663997,0.0017942727,0.00029911584,0.00079648173,0.00019783435,0.0002723294],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0019958713,0.00034811214,0.0006745062,0.00033518448,0.00031417253,0.000062883715,0.00033076282,0.00026663352,0.00007918136],"category_scores_gemma":[0.0010165325,0.00029883443,0.00019874479,0.0017344874,0.00026698704,0.00012646751,0.00028518747,0.0003500058,0.000007707232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024578685,0.0001693535,0.0023910657,0.0003289202,0.00011122263,3.8805885e-7,0.00023180983,8.2923253e-7,0.009547086,0.8621498,0.00034707115,0.12469788],"study_design_scores_gemma":[0.00047246309,0.00009946046,0.007227048,0.000041838335,0.00012023607,0.000005765737,0.00051313185,0.0003983637,0.017480534,0.9672336,0.006088274,0.00031930933],"about_ca_topic_score_codex":0.000027282085,"about_ca_topic_score_gemma":0.000009974876,"teacher_disagreement_score":0.12437857,"about_ca_system_score_codex":0.00005411884,"about_ca_system_score_gemma":0.000050992243,"threshold_uncertainty_score":0.99994636},"labels":[],"label_agreement":null},{"id":"W4379209221","doi":"10.1007/s00220-023-04754-1","title":"Affine Laumon Spaces and Iterated $${\\mathcal W}$$-Algebras","year":2023,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Mathematics; Iterated function; Vertex operator algebra; Pure mathematics; Affine transformation; Vertex (graph theory); Conjecture; Cohomology; Hamiltonian (control theory); Discrete mathematics; Algebra over a field; Algebra representation; Jordan algebra; Mathematical analysis; Graph","score_opus":0.10119359312585537,"score_gpt":0.3680961551617854,"score_spread":0.26690256203593005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4379209221","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9824411,0.00019812943,0.0032043774,0.0023627363,0.00012783089,0.00056081236,0.00000937363,0.00049839,0.010597246],"genre_scores_gemma":[0.9873459,0.00012985221,0.011937877,0.000052219108,0.000068705216,0.000087718916,0.000020957992,0.000041736555,0.00031506873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870694,0.00013437978,0.0004245495,0.00022332068,0.0002279573,0.00028286342],"domain_scores_gemma":[0.9969212,0.0014345708,0.0001026633,0.0013957977,0.000066680026,0.00007907958],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037512658,0.00019858166,0.00036839172,0.00009230207,0.00017379427,0.00009743555,0.00066159613,0.00011272158,0.000042381507],"category_scores_gemma":[0.0005020467,0.00017697811,0.00006360547,0.0007941749,0.00024250399,0.00014687913,0.0006727734,0.0003359945,0.00009624414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004674748,0.00014156282,0.00012225281,0.00008808515,0.000017817263,0.000001694149,0.001221914,0.0000062834238,0.00007851537,0.99598175,0.00048161732,0.0018538536],"study_design_scores_gemma":[0.00035024295,0.000021598531,0.00034761563,0.00011677635,0.000021930757,0.000003772643,0.0002797095,0.0167564,0.00009676758,0.98150915,0.00030979415,0.00018626048],"about_ca_topic_score_codex":0.0000060101574,"about_ca_topic_score_gemma":0.00000848697,"teacher_disagreement_score":0.016750116,"about_ca_system_score_codex":0.00003892011,"about_ca_system_score_gemma":0.00002644814,"threshold_uncertainty_score":0.7216958},"labels":[],"label_agreement":null},{"id":"W4380354155","doi":"10.1007/s00208-023-02634-6","title":"Relaxed and logarithmic modules of $$\\widehat{{{\\mathfrak {s}}}{{\\mathfrak {l}}}_3}$$","year":2023,"lang":"lv","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"European Commission; Natural Sciences and Engineering Research Council of Canada; Japan Society for the Promotion of Science; Ministry of Education, Culture, Sports, Science and Technology; European Regional Development Fund; University of Alberta","keywords":"Algorithm; Computer science","score_opus":0.04335703140337603,"score_gpt":0.2926036090367007,"score_spread":0.24924657763332464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380354155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98568827,0.003604996,0.0011485028,0.001188318,0.0011688576,0.0013547615,0.00020553636,0.00053423725,0.00510653],"genre_scores_gemma":[0.9819017,0.002161721,0.006377485,0.00011502795,0.0004976558,0.00012763614,0.000048905935,0.00029400477,0.008475862],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9946185,0.00027664917,0.001772827,0.0010314941,0.0011473135,0.0011532409],"domain_scores_gemma":[0.9952833,0.0012898915,0.0010804285,0.0016173089,0.00034518418,0.00038389864],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014540637,0.0009478892,0.0018257899,0.0005444456,0.00036277686,0.00019636936,0.00094053807,0.0007986525,0.00053483143],"category_scores_gemma":[0.0010046262,0.0008724711,0.0005019547,0.0010590579,0.0005170673,0.0004306026,0.00097111723,0.0007402018,0.0005822415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010768254,0.000350802,0.00032124086,0.005196635,0.00077466574,0.0000937085,0.008820676,0.000037285365,0.0014007891,0.95535433,0.02198505,0.005557128],"study_design_scores_gemma":[0.0016923503,0.0003357311,0.0021480762,0.0017250074,0.0004708495,0.000110907145,0.0017485368,0.006656763,0.0030024427,0.97816664,0.0029570786,0.0009856301],"about_ca_topic_score_codex":0.00009929582,"about_ca_topic_score_gemma":0.000015831907,"teacher_disagreement_score":0.022812292,"about_ca_system_score_codex":0.000064967586,"about_ca_system_score_gemma":0.00015090368,"threshold_uncertainty_score":0.9993726},"labels":[],"label_agreement":null},{"id":"W4380355813","doi":"10.1007/s10801-023-01246-2","title":"Chess tableaux, powers of two and affine Lie algebras","year":2023,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Young tableau; Combinatorics; Partition (number theory); Lambda; Generalization; Affine transformation; Pure mathematics; Physics","score_opus":0.03198034766044282,"score_gpt":0.3121710338552881,"score_spread":0.2801906861948453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380355813","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9945089,0.00077293464,0.00022282136,0.0005253796,0.002683286,0.00019097164,0.0000044980916,0.00007144069,0.001019724],"genre_scores_gemma":[0.9982162,0.000297821,0.00052317744,0.000054881926,0.00027509773,0.000003386676,0.000001828562,0.000065912456,0.0005616535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997076,0.00011070486,0.0011714591,0.00025423535,0.0009231504,0.0004644923],"domain_scores_gemma":[0.9967383,0.000908546,0.0011133093,0.00042947318,0.00053704757,0.00027332656],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011391552,0.00033622683,0.0009370524,0.00048548784,0.00012349132,0.000058959165,0.00055799104,0.00018869911,0.00010773175],"category_scores_gemma":[0.0008187107,0.00028820266,0.00027655333,0.0012076371,0.00015139685,0.00029284417,0.00026269103,0.0005258154,0.000006448481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000075526994,0.00016743525,0.0012059801,0.00017822722,0.0002261846,0.00006497351,0.0007744677,0.0000138161695,0.0006368003,0.98959947,0.005943485,0.0011136174],"study_design_scores_gemma":[0.0028232161,0.0004921415,0.0015225675,0.00013922328,0.00016540068,0.00012902268,0.00036499614,0.000097543925,0.0021015739,0.99071026,0.0011717498,0.0002822878],"about_ca_topic_score_codex":0.000012290452,"about_ca_topic_score_gemma":0.000002501207,"teacher_disagreement_score":0.0047717355,"about_ca_system_score_codex":0.000104541454,"about_ca_system_score_gemma":0.00021007056,"threshold_uncertainty_score":0.999957},"labels":[],"label_agreement":null},{"id":"W4380373184","doi":"10.1007/s11425-022-2079-3","title":"Twisted Whittaker modules over $${U_q}({\\mathfrak{g}\\mathfrak{l}_{n + 1}})$$","year":2023,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Invertible matrix; Mathematics; Simple (philosophy); Algebra over a field; Lie algebra; Quantum; Type (biology); Pure mathematics; Combinatorics; Physics; Quantum mechanics","score_opus":0.040161975283740686,"score_gpt":0.3290214945335611,"score_spread":0.28885951924982045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380373184","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.983768,0.00004068484,0.0024278443,0.000352048,0.0017124347,0.0005923185,0.000016614591,0.0010226052,0.010067491],"genre_scores_gemma":[0.98085785,0.000026935442,0.015869576,0.000101244936,0.00028971184,0.00006172567,0.0000068623262,0.000108575405,0.0026775363],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952997,0.000049791215,0.00083431497,0.0008136232,0.0018261657,0.0011763985],"domain_scores_gemma":[0.997103,0.00038720344,0.0004034809,0.0015337099,0.00022429416,0.00034835207],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0018024249,0.0005201367,0.00067607936,0.00051702705,0.00075845927,0.00039198453,0.0015986685,0.00020479136,0.00031595991],"category_scores_gemma":[0.0016009096,0.00041627116,0.00024202072,0.0030188488,0.0007855595,0.0006573386,0.00063314306,0.00038956373,0.00041096623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006385828,0.00014919724,0.000088388195,0.00025870148,0.000028469283,0.000018766386,0.005285367,0.00005670063,0.0020537714,0.9865968,0.0048355917,0.0006218483],"study_design_scores_gemma":[0.0004845049,0.000060072816,0.0024180165,0.00016327071,0.000042708652,0.000032866446,0.000776377,0.018519845,0.0017248478,0.974724,0.0005223502,0.0005311556],"about_ca_topic_score_codex":0.000017513375,"about_ca_topic_score_gemma":0.000005510226,"teacher_disagreement_score":0.018463144,"about_ca_system_score_codex":0.00017545432,"about_ca_system_score_gemma":0.00023731485,"threshold_uncertainty_score":0.99982893},"labels":[],"label_agreement":null},{"id":"W438069738","doi":"10.1090/fic/045","title":"Representations of Algebras and Related Topics","year":2005,"lang":"en","type":"book","venue":"American Mathematical Society eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Psychology; Computer science","score_opus":0.01771353832189367,"score_gpt":0.28671354580693365,"score_spread":0.26900000748504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W438069738","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008286478,0.00017000923,0.0010806582,0.00040604424,0.00017831956,0.00079916214,0.000026017648,0.00019195989,0.9888613],"genre_scores_gemma":[0.013899887,0.000079839854,0.042184155,0.00026594967,0.00051622145,0.000059006976,0.000018972034,0.00018256872,0.9427934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978219,0.000051865434,0.0008727027,0.00043392353,0.0005077971,0.00031179684],"domain_scores_gemma":[0.99747086,0.0008269153,0.0007560286,0.00067345984,0.00011269331,0.00016007207],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002062603,0.00040043812,0.0010770953,0.000038792758,0.0001082507,0.00003085485,0.00029305235,0.00035245522,0.00023730434],"category_scores_gemma":[0.00019221012,0.00035255938,0.0005466056,0.00006125396,0.0011447857,0.000032165153,0.00022747995,0.0005356332,0.000012135915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041194676,0.000033833243,0.0000017953013,0.00029823557,0.00034794502,0.0000018037218,0.0023355233,3.6638855e-7,0.000006296569,0.98018587,0.012254515,0.004529706],"study_design_scores_gemma":[0.00028547412,0.00008694845,0.0000064219903,0.00017708514,0.00033744838,0.000021538448,0.00037369653,0.000104698855,0.000051900744,0.9925549,0.005666789,0.00033307503],"about_ca_topic_score_codex":0.000009083468,"about_ca_topic_score_gemma":0.0000013526968,"teacher_disagreement_score":0.04606795,"about_ca_system_score_codex":0.000109153465,"about_ca_system_score_gemma":0.00019268857,"threshold_uncertainty_score":0.99989265},"labels":[],"label_agreement":null},{"id":"W4380874965","doi":"10.1139/cjp-2022-0145","title":"Algebra of hyperbolic band theory under magnetic field","year":2023,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Japan Society for the Promotion of Science; Office of Science; U.S. Department of Energy","keywords":"Physics; Riemann surface; Lattice (music); Quantum mechanics; Mathematical physics; Pure mathematics; Mathematics","score_opus":0.026820610558266244,"score_gpt":0.2569780260235302,"score_spread":0.23015741546526397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380874965","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9956897,0.00028541163,0.000877542,0.00028625826,0.00088686665,0.00006032534,0.0000057200177,0.000008281301,0.0018998804],"genre_scores_gemma":[0.9990696,0.0000111451745,0.00010768074,0.00016276604,0.00039991917,6.710509e-7,4.736902e-7,0.000019863108,0.00022789439],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992396,0.000045460525,0.0002682011,0.000066633605,0.00016126744,0.00021882271],"domain_scores_gemma":[0.99896276,0.00032793402,0.00016671095,0.00017914816,0.00012563812,0.00023782309],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020019447,0.000095857,0.00023905604,0.000097141354,0.00005537165,0.000018959525,0.00023165104,0.00006628366,0.00018732698],"category_scores_gemma":[0.00016726623,0.00008293599,0.00012871948,0.00024793833,0.000056365207,0.00006420627,0.000010152903,0.00017431274,0.0000072383064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008305231,0.0000063665148,0.0001739315,0.000026930646,0.00004243208,0.000019644856,0.00059352856,0.000045913843,0.00020760356,0.99130076,0.0041976958,0.003376884],"study_design_scores_gemma":[0.0002716269,0.0001544321,0.0005772455,0.00004594321,0.00004950339,0.000014692903,0.00025055095,0.00001620994,0.0026763326,0.99561185,0.0002477807,0.00008384112],"about_ca_topic_score_codex":0.0002492091,"about_ca_topic_score_gemma":0.0002988995,"teacher_disagreement_score":0.0043110773,"about_ca_system_score_codex":0.00003335958,"about_ca_system_score_gemma":0.00047387963,"threshold_uncertainty_score":0.33820316},"labels":[],"label_agreement":null},{"id":"W4381193457","doi":"10.1088/1751-8121/acdf9a","title":"Modified toric code models with flux attachment from Hopf algebra gauge theory","year":2023,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Irish Research Council; Science Foundation Ireland","keywords":"Gauge group; Toric code; Gauge theory; Hopf algebra; Physics; Algebra over a field; Mathematics; Pure mathematics; Mathematical physics; Quantum mechanics; Quantum; Topological order","score_opus":0.030315405668748942,"score_gpt":0.2805647126173363,"score_spread":0.2502493069485873,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381193457","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8758517,0.00007083074,0.12057694,0.00039795617,0.00020341498,0.00021025729,0.00001931505,0.000067403904,0.002602206],"genre_scores_gemma":[0.99397504,0.00002562488,0.00522843,0.00007681583,0.0005262143,0.000011067947,0.0000040928276,0.000055362863,0.00009736382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99771655,0.00016241812,0.0006727774,0.00025756023,0.00079762435,0.00039305096],"domain_scores_gemma":[0.9970294,0.0018436881,0.00030523504,0.00034892486,0.00017292025,0.00029983744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075219886,0.0003190071,0.00077194814,0.00006776827,0.000115365554,0.000117147734,0.00032662443,0.00014273082,0.00014151419],"category_scores_gemma":[0.00020642584,0.00019357666,0.00021624385,0.0002515593,0.00044621745,0.00024121329,0.00015152119,0.00042879768,0.000018935974],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029337112,0.00023709235,0.000004582383,0.00008566646,0.0002466546,0.00004689301,0.0009928786,0.00006609497,0.000063595326,0.9966557,0.00023646528,0.0010710331],"study_design_scores_gemma":[0.0011830988,0.00034088502,0.0000118385315,0.0002046864,0.0002794839,0.000051886494,0.00031081613,0.010596998,0.0006037434,0.9861562,0.000011332637,0.00024900975],"about_ca_topic_score_codex":8.175993e-7,"about_ca_topic_score_gemma":1.1506567e-7,"teacher_disagreement_score":0.11812335,"about_ca_system_score_codex":0.000041624542,"about_ca_system_score_gemma":0.00006463894,"threshold_uncertainty_score":0.7893827},"labels":[],"label_agreement":null},{"id":"W4381662411","doi":"10.5565/publmat6722310","title":"On generic flag varieties for odd spin groups","year":2023,"lang":"ca","type":"article","venue":"Publicacions Matemàtiques","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Flag (linear algebra); Mathematics; Spin (aerodynamics); Combinatorics; Pure mathematics; Algebra over a field; Physics","score_opus":0.05719589774486758,"score_gpt":0.3324140566501714,"score_spread":0.27521815890530377,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381662411","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9005316,0.0012265901,0.020846868,0.031706505,0.015233681,0.0058293445,0.0007913456,0.005944813,0.017889244],"genre_scores_gemma":[0.9872664,0.00043236377,0.0011828776,0.00065758766,0.0012733602,0.000877825,0.00022388682,0.00023396313,0.007851716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996385,0.00019321393,0.0008712895,0.0008164166,0.00063006114,0.0011040448],"domain_scores_gemma":[0.9967132,0.0010562907,0.0003757478,0.0011314563,0.00041559155,0.00030767292],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008113249,0.00064362574,0.0008018012,0.0005511206,0.0006215576,0.00066707766,0.00079566136,0.000575196,0.0005053872],"category_scores_gemma":[0.0011663223,0.0005883154,0.00049187924,0.0010327781,0.00014176397,0.00036358746,0.00036495796,0.0004128194,0.0004970371],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007770502,0.00015889054,0.0000093839835,0.0004546891,0.00017575637,0.000005163776,0.0010825517,0.000023304994,0.00008038541,0.8660647,0.13086225,0.0010052016],"study_design_scores_gemma":[0.000749079,0.00049858,0.00016405877,0.00009929636,0.00013556065,0.000006721219,0.00058389467,0.002311942,0.0010660467,0.94642866,0.047322765,0.0006333952],"about_ca_topic_score_codex":0.00002659491,"about_ca_topic_score_gemma":0.000012504631,"teacher_disagreement_score":0.08673481,"about_ca_system_score_codex":0.00019292861,"about_ca_system_score_gemma":0.00019917112,"threshold_uncertainty_score":0.9996568},"labels":[],"label_agreement":null},{"id":"W4381680830","doi":"10.21468/scipostphys.14.6.169","title":"A new class of higher quantum Airy structures as modules of $\\mathcal{W}(\\mathfrak{gl}_r)$-algebras","year":2023,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Class (philosophy); Quantum; Pure mathematics; Mathematics; Algebra over a field; Physics; Combinatorics; Quantum mechanics; Computer science; Artificial intelligence","score_opus":0.25070755809487805,"score_gpt":0.5410506770614694,"score_spread":0.2903431189665913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381680830","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9881297,0.005487565,0.0004212181,0.00019403371,0.0022711353,0.0006681599,0.00006397994,0.00012795175,0.00263628],"genre_scores_gemma":[0.9956612,0.0017032198,0.0009228572,0.00010514474,0.00041098168,0.000024405217,0.000011690155,0.00014405658,0.0010164204],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99483424,0.0003142997,0.0019558321,0.0006270379,0.0016205922,0.00064800464],"domain_scores_gemma":[0.99475396,0.0010344232,0.0021249438,0.0011562558,0.00052271434,0.00040772834],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00095738494,0.00061617454,0.0019001574,0.0009948695,0.00019630443,0.00039166622,0.0036907175,0.0003850682,0.008877489],"category_scores_gemma":[0.00075825973,0.00051982276,0.0005715167,0.0016994898,0.0002452826,0.001136904,0.0015150923,0.00059252814,0.000020264446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005053279,0.00023938868,0.012594952,0.00085713353,0.0009108252,0.00005148736,0.00084493076,0.00027467008,0.036805216,0.82832646,0.112876296,0.005713342],"study_design_scores_gemma":[0.0009094635,0.0000386701,0.08494236,0.00049601635,0.00018314629,0.000012402965,0.00014574065,0.00012980831,0.03133489,0.8798853,0.0014532843,0.00046888963],"about_ca_topic_score_codex":0.0014498639,"about_ca_topic_score_gemma":0.0000273085,"teacher_disagreement_score":0.11142301,"about_ca_system_score_codex":0.00008769344,"about_ca_system_score_gemma":0.0003604703,"threshold_uncertainty_score":0.99972534},"labels":[],"label_agreement":null},{"id":"W4382132534","doi":"10.48550/arxiv.2306.13568","title":"Quasi-lisse extension of affine $\\mathfrak{sl}_2$ à la Feigin--Tipunin","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Sheaf; Conjecture; Nilpotent; Combinatorics; Superalgebra; Mathematics; Physics; Pure mathematics; Algebra over a field","score_opus":0.16326975998978624,"score_gpt":0.24012866788852213,"score_spread":0.0768589078987359,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382132534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.983027,0.00006167867,0.011909552,0.00007801509,0.0014730755,0.00045295898,0.000038439197,0.00038326625,0.0025760625],"genre_scores_gemma":[0.99344945,0.00022216717,0.0005372235,0.000018205803,0.00018349475,0.0000017190268,0.000027925482,0.00009582376,0.00546398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99776924,0.00021261399,0.00044443167,0.00096643995,0.00020854494,0.0003987465],"domain_scores_gemma":[0.996804,0.00069992326,0.00056127156,0.0014821619,0.00027937672,0.0001732803],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00041749026,0.00047640034,0.00085023546,0.00032537626,0.00011376475,0.000042028692,0.00093221973,0.0006779313,0.0001392773],"category_scores_gemma":[0.000349783,0.0005206532,0.00044433138,0.00051834836,0.00018142862,0.0001070832,0.0014686612,0.00078349374,0.00005296017],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012493505,0.00026415533,0.00027996587,0.00043387758,0.00019858492,0.00027922133,0.0003662231,0.0054702144,0.00008937578,0.9908293,0.0015200037,0.00014415456],"study_design_scores_gemma":[0.00078246446,0.00010324205,0.0005117527,0.00036181873,0.00028675035,0.0000063137177,0.00026018466,0.0115816435,0.00024815128,0.98501253,0.00033783106,0.0005072909],"about_ca_topic_score_codex":0.00028253772,"about_ca_topic_score_gemma":0.0000451852,"teacher_disagreement_score":0.011372329,"about_ca_system_score_codex":0.00014596892,"about_ca_system_score_gemma":0.00019694355,"threshold_uncertainty_score":0.9997245},"labels":[],"label_agreement":null},{"id":"W4382542520","doi":"10.1016/j.jalgebra.2023.06.016","title":"Zassenhaus and lower central filtrations of pro-p groups considered as modules","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Finitely-generated abelian group; Dimension (graph theory); Pure mathematics; Action (physics); Focus (optics); Cohomological dimension; Algebra over a field","score_opus":0.033109027847570506,"score_gpt":0.2978126433946405,"score_spread":0.26470361554706995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382542520","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9978022,0.0001334543,0.00023277021,0.0005365321,0.00080333935,0.000117228985,0.0000043822383,0.00002181541,0.00034828502],"genre_scores_gemma":[0.9982528,0.00007256031,0.0012599995,0.000038695813,0.00022915559,0.000001564317,9.58415e-7,0.0000177612,0.00012648599],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988013,0.000043963708,0.00052373117,0.00009796115,0.00033053182,0.00020251003],"domain_scores_gemma":[0.9988171,0.0003164006,0.00041369433,0.00015401926,0.00018372301,0.00011510446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021466918,0.00011864771,0.00032720758,0.00011886775,0.000062985,0.000035404613,0.00012835176,0.00008567561,0.00012217686],"category_scores_gemma":[0.00046812586,0.00009332068,0.00012602047,0.0001766689,0.000074897565,0.00016182518,0.000043333195,0.00017734866,0.000003791438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008326268,0.00008751058,0.00043257783,0.000073605894,0.00017730806,0.00006260266,0.0011845118,0.000024416684,0.0021903196,0.9882821,0.0069466825,0.00045514698],"study_design_scores_gemma":[0.0006924412,0.00026843828,0.004366872,0.00007203906,0.000072235904,0.00016864922,0.0004256846,0.000116591866,0.002830499,0.99074,0.00014763657,0.00009890238],"about_ca_topic_score_codex":0.0000059633117,"about_ca_topic_score_gemma":0.0000044999742,"teacher_disagreement_score":0.006799046,"about_ca_system_score_codex":0.000020579932,"about_ca_system_score_gemma":0.00010751715,"threshold_uncertainty_score":0.38055068},"labels":[],"label_agreement":null},{"id":"W4383032118","doi":"10.1016/j.jpaa.2023.107446","title":"Jordan recoverability of some subcategories of modules over gentle algebras","year":2023,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Quiver; Mathematics; Endomorphism; Indecomposable module; Subcategory; Isomorphism (crystallography); Vertex (graph theory); Pure mathematics; Nilpotent; Class (philosophy); Algebra over a field; Discrete mathematics; Computer science","score_opus":0.02276320327497413,"score_gpt":0.2698838608237359,"score_spread":0.24712065754876175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383032118","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.998612,0.0002782841,0.00013893268,0.00015444748,0.00039908692,0.0001384773,0.00001030324,0.000016238171,0.0002522398],"genre_scores_gemma":[0.9987997,0.0001873009,0.0006244555,0.00003310333,0.0002792842,0.000003110492,0.0000020569141,0.00002340648,0.000047571364],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983459,0.000037489255,0.0008097438,0.00015680594,0.0004443128,0.00020576647],"domain_scores_gemma":[0.9984275,0.0002945484,0.0007471924,0.0002337738,0.00020160805,0.00009533821],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005270967,0.0001804692,0.00064538245,0.00015232306,0.000056347548,0.000021131502,0.00023564293,0.00013098663,0.000072332994],"category_scores_gemma":[0.0001641416,0.00013771809,0.00019086743,0.0002673992,0.0001249139,0.00015824451,0.000101266494,0.00021984943,0.0000014971462],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013201534,0.000082638435,0.0006654661,0.00026195557,0.00015361886,0.0000032784128,0.0006603694,0.000012225089,0.0044714077,0.9906679,0.0017574213,0.0011316945],"study_design_scores_gemma":[0.00074278296,0.00014917753,0.004376802,0.00003663346,0.00008635905,0.000009937445,0.0003931992,0.000014550649,0.0244248,0.96954703,0.00009356915,0.0001251583],"about_ca_topic_score_codex":0.000006705259,"about_ca_topic_score_gemma":0.000002342484,"teacher_disagreement_score":0.02112088,"about_ca_system_score_codex":0.000023523331,"about_ca_system_score_gemma":0.00007261942,"threshold_uncertainty_score":0.56159806},"labels":[],"label_agreement":null},{"id":"W4383721584","doi":"10.1007/s00023-023-01314-0","title":"A G-Equivariant String-Net Construction","year":2023,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Deutsche Forschungsgemeinschaft","keywords":"Equivariant map; Generalization; Mathematics; Net (polyhedron); String (physics); Pure mathematics; Field (mathematics); Algebra over a field; Geometry; Mathematical analysis; Mathematical physics","score_opus":0.050570208771215576,"score_gpt":0.3118177380872453,"score_spread":0.2612475293160297,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383721584","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99155897,0.00010258924,0.0007694707,0.00062284665,0.0013591128,0.00024020238,0.000015299669,0.00059885246,0.0047326586],"genre_scores_gemma":[0.9971149,0.000059300386,0.0012063362,0.00011188654,0.00048340898,0.000020113894,0.000018225903,0.0000389608,0.0009468998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99860615,0.000059226644,0.00030859606,0.00029638378,0.00032942893,0.00040020078],"domain_scores_gemma":[0.999083,0.00021475348,0.00011397053,0.00039361865,0.00008119711,0.00011347836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024431502,0.00019164379,0.00026134713,0.0001649603,0.00017030304,0.00005811344,0.00022039651,0.00012775004,0.00017290658],"category_scores_gemma":[0.00018725867,0.00017381257,0.00013336296,0.00050698867,0.00008140278,0.000119208074,0.00013185451,0.00017743767,0.00020137274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022264641,0.000016253014,0.0003310037,0.000043892556,0.000056738343,0.00002819367,0.0003710082,0.000011046185,0.00012690952,0.98293436,0.013368522,0.00268982],"study_design_scores_gemma":[0.00045250624,0.00006368469,0.0010512942,0.000034747587,0.000030466275,0.000047388483,0.00032306238,0.00033381517,0.00037776254,0.9888799,0.0081885895,0.00021678024],"about_ca_topic_score_codex":0.00003251193,"about_ca_topic_score_gemma":0.000008110423,"teacher_disagreement_score":0.005945555,"about_ca_system_score_codex":0.000035152025,"about_ca_system_score_gemma":0.00006943763,"threshold_uncertainty_score":0.7087871},"labels":[],"label_agreement":null},{"id":"W4383820584","doi":"10.1002/mana.202200214","title":"Envelopes and classifying spaces","year":2023,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Homomorphism; Torus; Constraint (computer-aided design); Algebraic number; Pure mathematics; Image (mathematics); Group (periodic table); Spin (aerodynamics); Reductive group; Algebra over a field; Discrete mathematics; Group theory; Mathematical analysis; Geometry; Artificial intelligence","score_opus":0.07413842065814802,"score_gpt":0.3267858959539584,"score_spread":0.2526474752958104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383820584","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97687507,0.000400662,0.0010865431,0.0008883665,0.00044767407,0.00035991418,0.0000050328626,0.00083625666,0.019100469],"genre_scores_gemma":[0.98846716,0.00007071422,0.006941576,0.00006168969,0.00018827824,0.000050913302,0.000003323287,0.00005560011,0.004160764],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987431,0.00004529421,0.00027055995,0.0002887158,0.00031590095,0.00033641938],"domain_scores_gemma":[0.9989378,0.0005072443,0.00011938414,0.00029799665,0.000039221377,0.00009834321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003834671,0.00020940362,0.00033039876,0.00013129291,0.00018411793,0.000113332,0.00020259428,0.0001266274,0.00013511768],"category_scores_gemma":[0.00036310937,0.00016435495,0.000064121334,0.00040128798,0.000059662907,0.00014289664,0.00021566269,0.00016408206,0.00017451694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006361232,0.000019052193,0.000359523,0.0001978651,0.00006699602,0.0000135175915,0.0016986255,0.0000010531187,0.00040669262,0.9782303,0.01607899,0.0029210167],"study_design_scores_gemma":[0.0003728571,0.000026631344,0.0005373908,0.000065446766,0.000042342694,0.000022857477,0.00039539183,0.0007177191,0.000531624,0.99265975,0.004385288,0.00024271765],"about_ca_topic_score_codex":0.00000904942,"about_ca_topic_score_gemma":0.000002054725,"teacher_disagreement_score":0.014939705,"about_ca_system_score_codex":0.000017187707,"about_ca_system_score_gemma":0.000022687671,"threshold_uncertainty_score":0.67022},"labels":[],"label_agreement":null},{"id":"W4384347939","doi":"10.21468/scipost.report.4849","title":"Report on 2009.13047v1","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geography","score_opus":0.06415949812490374,"score_gpt":0.35558772859445353,"score_spread":0.2914282304695498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384347939","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00007492285,0.017583074,0.00011797208,0.040026024,0.03762856,0.0018315369,0.00022981859,0.00052648765,0.9019816],"genre_scores_gemma":[0.00008504034,0.0015287941,0.0004172956,0.0055462224,0.0012414182,0.00018742378,0.00048153696,0.00011190532,0.9904004],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99699575,0.000090581976,0.0007514504,0.0006368118,0.0011967653,0.00032866074],"domain_scores_gemma":[0.99740356,0.00029731242,0.0005302005,0.0015290745,0.00013451604,0.00010531409],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00055627694,0.00044781726,0.0009777216,0.000086149106,0.00014120889,0.00003073357,0.0005801702,0.00027110847,0.051856015],"category_scores_gemma":[0.00083537045,0.00035167954,0.00043530102,0.00018454445,0.000023709636,0.00002461625,0.0003137346,0.00090117956,0.000091863614],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000321152,0.00003322037,2.444892e-7,0.0007670118,0.000056514607,0.00015083255,0.0000048639968,3.0332257e-7,2.6077329e-8,0.3180599,0.6803832,0.0005406481],"study_design_scores_gemma":[0.00008148816,0.00005200033,4.337394e-7,0.0003744443,0.00011458139,0.00009770562,0.0000025720499,7.84781e-7,0.0000018184556,0.4258252,0.57321334,0.00023561697],"about_ca_topic_score_codex":0.00010534621,"about_ca_topic_score_gemma":0.000011305171,"teacher_disagreement_score":0.10776531,"about_ca_system_score_codex":0.00016327502,"about_ca_system_score_gemma":0.0002469514,"threshold_uncertainty_score":0.99989355},"labels":[],"label_agreement":null},{"id":"W4384944067","doi":"10.1007/s00208-023-02666-y","title":"On the Gersten conjecture for hermitian Witt groups","year":2023,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hermitian matrix; Involution (esoterism); Conjecture; Pure mathematics; Discrete valuation ring","score_opus":0.09445607446046071,"score_gpt":0.3282691613683359,"score_spread":0.23381308690787517,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384944067","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9669923,0.00009222873,0.0036140124,0.010305838,0.00083239586,0.0018844504,0.0000574833,0.00067809626,0.015543205],"genre_scores_gemma":[0.9924448,0.000008984171,0.00080756145,0.0007449132,0.00038343135,0.00034645078,0.000013748404,0.000086716056,0.0051633716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986063,0.00006259794,0.00029160737,0.00029400946,0.00033993614,0.00040554043],"domain_scores_gemma":[0.99731743,0.001770729,0.00014923379,0.00061823806,0.00007083017,0.00007352671],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005440403,0.00025069114,0.000323795,0.000072123396,0.00028649662,0.000088786255,0.00045170137,0.00014365652,0.00030468914],"category_scores_gemma":[0.000631902,0.00015115521,0.00022552596,0.00027272457,0.00006812181,0.000073561576,0.00009025714,0.00020581343,0.0002003344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020654166,0.000023958464,0.0000043334653,0.00010790922,0.00008368317,0.0000047001417,0.0010958265,0.000006359728,0.000039931158,0.89492434,0.10326596,0.00042233622],"study_design_scores_gemma":[0.0004226177,0.00011211679,0.000045398137,0.00008323104,0.00004636494,0.000010482207,0.00036127007,0.00059972354,0.0005114603,0.99359006,0.004012516,0.00020475962],"about_ca_topic_score_codex":0.0000028705533,"about_ca_topic_score_gemma":0.0000035008875,"teacher_disagreement_score":0.09925345,"about_ca_system_score_codex":0.000020403239,"about_ca_system_score_gemma":0.000028178196,"threshold_uncertainty_score":0.6163931},"labels":[],"label_agreement":null},{"id":"W4385202889","doi":"10.1112/jlms.12789","title":"Categorification of integral group rings extended by one dimension","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Categorification; Group (periodic table); Abelian group; Dimension (graph theory); Pure mathematics; Ring (chemistry); Basis (linear algebra); Fusion; Local ring; Set (abstract data type); Representation (politics); Algebra over a field; Computer science; Geometry; Physics","score_opus":0.028783315010232752,"score_gpt":0.2822042793355246,"score_spread":0.2534209643252919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385202889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98934585,0.00009794335,0.008407979,0.0012770446,0.00046339465,0.00021712568,0.0000032388373,0.00003750194,0.0001499113],"genre_scores_gemma":[0.99345326,0.00005814645,0.0059026764,0.00006278262,0.0001303368,0.0000041189796,0.000001143816,0.000027403392,0.00036010033],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804246,0.0000880509,0.0007923537,0.00011904857,0.00074051286,0.000217556],"domain_scores_gemma":[0.99808943,0.0005022888,0.0007970796,0.0003387148,0.00018954257,0.000082918166],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010177774,0.00015372992,0.00046602645,0.000028762892,0.00010574988,0.00002308236,0.00047289705,0.00014783787,0.0000636812],"category_scores_gemma":[0.0005078499,0.000090356014,0.0006021953,0.00035571543,0.00012193875,0.00010841885,0.00014020194,0.00039445274,0.0000079006895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053086784,0.00040067706,0.000068926754,0.00036511,0.000241272,9.871663e-7,0.0023272105,0.000007722948,0.036809735,0.93372875,0.025290761,0.0007057436],"study_design_scores_gemma":[0.00058129407,0.00009417001,0.00032998598,0.00016617568,0.00012469737,0.000016908565,0.0004343535,0.00080529816,0.01137263,0.98584914,0.00012854794,0.00009678639],"about_ca_topic_score_codex":0.0000037665316,"about_ca_topic_score_gemma":2.089553e-7,"teacher_disagreement_score":0.052120388,"about_ca_system_score_codex":0.000083474,"about_ca_system_score_gemma":0.00003265354,"threshold_uncertainty_score":0.36846113},"labels":[],"label_agreement":null},{"id":"W4385221738","doi":"10.1007/s10468-023-10211-3","title":"Module Categories of Small Radical Nilpotency","year":2023,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Pure mathematics; Integer (computer science); Algebra over a field; Representation (politics); Type (biology); Nilpotent group; Discrete mathematics; Nilpotent; Computer science","score_opus":0.03734963659352487,"score_gpt":0.3011997681996966,"score_spread":0.26385013160617177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385221738","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99448717,0.00018013615,0.0028804261,0.00019000885,0.00039096113,0.00016468995,0.0000028351071,0.00010744225,0.0015963202],"genre_scores_gemma":[0.9980194,0.00010157438,0.0005436469,0.000031166906,0.00010637587,0.000015630161,0.000009164306,0.000018488416,0.0011545635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990871,0.000115267445,0.00026364683,0.00020475681,0.00017400294,0.0001552168],"domain_scores_gemma":[0.9990014,0.0005330751,0.00010888324,0.00024228703,0.00005463925,0.000059729195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003233839,0.000104760715,0.00020361287,0.00008724552,0.00009599113,0.000018501907,0.00011333661,0.000083070416,0.00010110527],"category_scores_gemma":[0.0003089553,0.00008303171,0.00006635572,0.0002540238,0.00017878794,0.00006929317,0.000084011204,0.00008158563,0.00000807302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035402085,0.000018791496,0.00078852987,0.000044192526,0.00004410893,0.0000035927012,0.0010684299,0.00000882204,0.0003339161,0.9935863,0.00048556444,0.0035823255],"study_design_scores_gemma":[0.00035690865,0.000035557292,0.003832796,0.000011491634,0.000032292624,0.0000056683516,0.0008293414,0.00016992728,0.004102004,0.99047446,0.000054667293,0.000094892646],"about_ca_topic_score_codex":0.00003223747,"about_ca_topic_score_gemma":0.000002205719,"teacher_disagreement_score":0.003768088,"about_ca_system_score_codex":0.000006253421,"about_ca_system_score_gemma":0.000023182618,"threshold_uncertainty_score":0.33859348},"labels":[],"label_agreement":null},{"id":"W4385236933","doi":"10.1007/978-981-19-4645-5","title":"Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I","year":2023,"lang":"en","type":"book","venue":"SpringerBriefs in mathematical physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Cohomology; Mathematics; Tensor (intrinsic definition); Pure mathematics; Conformal map; Modular design; Algebra over a field; Hopf algebra; Class (philosophy); Field (mathematics); Relation (database); Computer science; Mathematical analysis; Artificial intelligence; Programming language","score_opus":0.03740672906376677,"score_gpt":0.26812158076454184,"score_spread":0.23071485170077508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385236933","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14605281,0.003855117,0.1065353,0.002396441,0.012154421,0.0135993,0.00038375557,0.00552945,0.7094934],"genre_scores_gemma":[0.21300015,0.0009424499,0.033506226,0.001079857,0.014324022,0.0009849705,0.00032119112,0.0030764905,0.73276466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962683,0.00009839293,0.0010933855,0.00097582815,0.0007361322,0.000827983],"domain_scores_gemma":[0.99673176,0.0013516402,0.00046013584,0.0011191284,0.000119658034,0.0002176851],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00059707253,0.0008760041,0.0017547281,0.00018258329,0.00016728211,0.0001245989,0.0006170053,0.0009293086,0.00004784662],"category_scores_gemma":[0.0006280671,0.0008355901,0.00029337325,0.00028660876,0.0005151645,0.00013178997,0.00075088115,0.001561273,0.00012821468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000133367585,0.000087810964,0.000017792885,0.00171833,0.00017732629,0.00007969064,0.0007740798,0.000014911286,0.000007676622,0.99378633,0.0028769327,0.00044576233],"study_design_scores_gemma":[0.0006165834,0.000055342334,0.00005837832,0.000924978,0.0001420275,0.00002598672,0.00008327935,0.0011222326,0.000016897076,0.99416465,0.0019606457,0.0008290171],"about_ca_topic_score_codex":0.0000128111515,"about_ca_topic_score_gemma":0.000008332276,"teacher_disagreement_score":0.07302907,"about_ca_system_score_codex":0.00034750043,"about_ca_system_score_gemma":0.00021835978,"threshold_uncertainty_score":0.9994095},"labels":[],"label_agreement":null},{"id":"W4385292449","doi":"10.48550/arxiv.2307.13369","title":"Quasi-coincidence of cluster structures on positroid varieties","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Canadian Institute for Advanced Research","keywords":"Cluster algebra; Monomial; Mathematics; Categorification; Conjecture; Cluster (spacecraft); Grassmannian; Combinatorics; Pure mathematics; Algebra over a field; Computer science; Physics","score_opus":0.1396860370344183,"score_gpt":0.2355834424359069,"score_spread":0.09589740540148861,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385292449","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9728104,0.000031912954,0.023451636,0.00007079317,0.0018089277,0.00042799403,0.00004018335,0.0002287164,0.0011294244],"genre_scores_gemma":[0.99714696,0.00005437755,0.0004051827,0.000052707455,0.0001670934,0.0000012401282,0.000012327511,0.000060871032,0.0020992379],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820226,0.00014556517,0.00033986455,0.0007730243,0.00021571241,0.00032357613],"domain_scores_gemma":[0.997565,0.000530789,0.0004716316,0.0011326,0.00019140731,0.000108621236],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00019416382,0.0004126941,0.0006204406,0.00023629153,0.000116148796,0.00004075428,0.0009471715,0.00050089037,0.00007877539],"category_scores_gemma":[0.00020087317,0.00041518352,0.00034013987,0.0002683822,0.00017670059,0.00008167554,0.0010664844,0.0006887424,0.000023810395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019623515,0.00007790358,0.00030191874,0.00028236583,0.00018237332,0.000073071344,0.00035696273,0.018161358,0.00001361933,0.9794747,0.0008542012,0.00002529313],"study_design_scores_gemma":[0.0004529522,0.00018852745,0.00051133404,0.00015202674,0.00018777097,0.0000034292996,0.00018009792,0.00365203,0.00038068907,0.9938807,0.000031032832,0.00037944398],"about_ca_topic_score_codex":0.00027202617,"about_ca_topic_score_gemma":0.00004379607,"teacher_disagreement_score":0.02433655,"about_ca_system_score_codex":0.00015186089,"about_ca_system_score_gemma":0.0001498083,"threshold_uncertainty_score":0.99983},"labels":[],"label_agreement":null},{"id":"W4385373909","doi":"10.48550/arxiv.2307.14608","title":"Smooth modules over the N=1 Bondi-Metzner-Sachs superalgebra","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Superalgebra; Supermatrix; Verma module; Realization (probability); Mathematics; Lie superalgebra; Simple module; Pure mathematics; Fock space; Vertex (graph theory); Algebra over a field; Simple (philosophy); Discrete mathematics; Physics; Lie algebra; Quantum mechanics; Current algebra; Philosophy","score_opus":0.11511500116666801,"score_gpt":0.22593556371918871,"score_spread":0.11082056255252071,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385373909","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98859453,0.000092173985,0.0059387055,0.00024302951,0.0025059544,0.0005969082,0.000056398065,0.0005110993,0.0014611768],"genre_scores_gemma":[0.9920764,0.000160862,0.00016852173,0.00013402484,0.0004443005,0.0000046152836,0.000027147024,0.000116369476,0.006867757],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975651,0.0002112492,0.00035410086,0.0010771462,0.00022702735,0.0005653827],"domain_scores_gemma":[0.99695677,0.000578701,0.000308285,0.0018536539,0.00013517674,0.00016740334],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003543471,0.00056814693,0.0006178582,0.00019769045,0.00034214222,0.00014364095,0.0016158901,0.0005779314,0.00031628308],"category_scores_gemma":[0.00018003625,0.00046757443,0.0005534866,0.0004830959,0.00023061926,0.00014575402,0.0018951301,0.0011085112,0.000116710995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003826549,0.000055049284,0.0008291948,0.00011186909,0.00024198992,0.00010677995,0.00030387487,0.0058291936,0.000006324591,0.9866591,0.0057355086,0.0000828632],"study_design_scores_gemma":[0.0005319799,0.00003277735,0.0020760368,0.00008696972,0.00030276112,0.00000214056,0.00020679204,0.01088784,0.000039216407,0.9841368,0.0011508435,0.0005458308],"about_ca_topic_score_codex":0.0005678921,"about_ca_topic_score_gemma":0.00012678346,"teacher_disagreement_score":0.0057701836,"about_ca_system_score_codex":0.00021603398,"about_ca_system_score_gemma":0.00014415936,"threshold_uncertainty_score":0.9997776},"labels":[],"label_agreement":null},{"id":"W4385415722","doi":"10.1016/j.jalgebra.2023.10.018","title":"Fiberwise criteria for twisted forms of algebraic structures","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Mathematics; Affine transformation; Algebraic number; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.059856289289360265,"score_gpt":0.3585743034801728,"score_spread":0.2987180141908125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385415722","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9960525,0.00015045815,0.0013080372,0.000339209,0.0015992789,0.0002821988,0.000021424872,0.000046974375,0.00019990747],"genre_scores_gemma":[0.9946465,0.000027606762,0.004467226,0.0000711072,0.0005492919,0.0000073613082,0.000005394158,0.00005191396,0.00017360144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979493,0.000049018414,0.0010095265,0.00015864597,0.0004952905,0.00033822886],"domain_scores_gemma":[0.99756604,0.00061452715,0.00091976504,0.00031221978,0.00044979958,0.0001376206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058441557,0.0002222977,0.0006605018,0.00030079804,0.000081464816,0.000042823718,0.0004609989,0.00016292206,0.0001713825],"category_scores_gemma":[0.0007474402,0.00016271071,0.0004534287,0.00038365895,0.00007231517,0.00022309319,0.00008204008,0.00020293487,0.0000030680417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003449461,0.00005596797,0.0000925982,0.00034870923,0.0002943079,0.000017293358,0.001053546,0.000016710386,0.0036910027,0.96888655,0.022880295,0.0023180866],"study_design_scores_gemma":[0.0015583537,0.0004582371,0.0011445603,0.00009041942,0.00012336702,0.00006473855,0.00026032442,0.00011371699,0.008522407,0.98655254,0.0009382022,0.00017311817],"about_ca_topic_score_codex":0.0000024551334,"about_ca_topic_score_gemma":0.000001818518,"teacher_disagreement_score":0.021942094,"about_ca_system_score_codex":0.000044730597,"about_ca_system_score_gemma":0.00012683259,"threshold_uncertainty_score":0.66351503},"labels":[],"label_agreement":null},{"id":"W4385606191","doi":"10.1142/s0219498825500185","title":"On non-counital Frobenius algebras","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Division of Mathematical Sciences","keywords":"Mathematics; Frobenius algebra; Bimodule; Injective function; Conjecture; Pure mathematics; Frobenius theorem (differential topology); Hopf algebra; Algebra over a field; Algebra representation; Geometry","score_opus":0.024590697460734764,"score_gpt":0.29854472192492126,"score_spread":0.2739540244641865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385606191","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99540967,0.0001648256,0.0018040244,0.0006791984,0.00028047076,0.00025386948,0.0000069035773,0.000045710494,0.0013553307],"genre_scores_gemma":[0.99854285,0.00014853239,0.0003585202,0.00013048701,0.00040438876,0.00002430734,0.0000024409287,0.000024747476,0.0003637296],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989564,0.000018951798,0.0003997077,0.00013721967,0.00030469618,0.00018304559],"domain_scores_gemma":[0.99879116,0.0004138649,0.00027802796,0.00019428648,0.0001826554,0.00014002844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022877775,0.00013741833,0.00025307608,0.0001789483,0.0001699043,0.00004999348,0.00022663378,0.00008913617,0.00006935109],"category_scores_gemma":[0.0001301492,0.00010785018,0.000105601575,0.00036523642,0.000030153791,0.00012856926,0.000051035124,0.00023549765,0.000056022538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019279454,0.000055044715,0.000014310977,0.000022810023,0.000055942903,0.0000045772777,0.00022355063,0.0000074790937,0.0003494534,0.9895753,0.0075759264,0.0020963256],"study_design_scores_gemma":[0.000514648,0.00014577851,0.0005668961,0.000030483438,0.00005369259,0.000040423118,0.00014581377,0.0001598381,0.0006827859,0.9938613,0.0036753889,0.00012293446],"about_ca_topic_score_codex":0.0000010918338,"about_ca_topic_score_gemma":6.353525e-7,"teacher_disagreement_score":0.0042860177,"about_ca_system_score_codex":0.00002422772,"about_ca_system_score_gemma":0.000056617286,"threshold_uncertainty_score":0.43980026},"labels":[],"label_agreement":null},{"id":"W4385849382","doi":"10.48550/arxiv.2308.07256","title":"Web invariants for flamingo Specht modules","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation Autism Research Initiative; National Science Foundation","keywords":"Flag (linear algebra); Basis (linear algebra); Variety (cybernetics); Pure mathematics; Mathematics; Tensor (intrinsic definition); Grassmannian; Realization (probability); Combinatorics; Algebra over a field; Geometry","score_opus":0.19246398827165132,"score_gpt":0.23605549415948585,"score_spread":0.04359150588783453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385849382","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.919432,0.000025784762,0.07339674,0.00010831835,0.0035731269,0.0010537279,0.00014192455,0.00058142096,0.001686943],"genre_scores_gemma":[0.99051607,0.000079518766,0.001319201,0.000028860482,0.00047287764,0.000005843877,0.000036064346,0.000094361334,0.007447212],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822557,0.000062984356,0.0002699144,0.00091643236,0.00010633804,0.00041874652],"domain_scores_gemma":[0.9979868,0.00042424546,0.00029814773,0.0009970204,0.00015831461,0.00013546148],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023696164,0.0003898738,0.0005335669,0.00020524673,0.00017304742,0.000070215094,0.0008896786,0.0005185381,0.00006659952],"category_scores_gemma":[0.0002637307,0.00043424408,0.00036965523,0.0002499531,0.00007719819,0.00009344073,0.0010463533,0.00044945683,0.000056362864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060410097,0.000042163072,0.00014990306,0.00026753457,0.00020185157,0.000059096386,0.000107809574,0.004054706,0.000018113364,0.9913073,0.0036760047,0.000055086562],"study_design_scores_gemma":[0.0007994752,0.00003727672,0.00013185649,0.00012022039,0.00021470636,0.0000013553513,0.000105254745,0.048331026,0.000088431916,0.9492554,0.0004742764,0.00044073738],"about_ca_topic_score_codex":0.00006918082,"about_ca_topic_score_gemma":0.00008069143,"teacher_disagreement_score":0.07207754,"about_ca_system_score_codex":0.00018903628,"about_ca_system_score_gemma":0.00016911837,"threshold_uncertainty_score":0.99981093},"labels":[],"label_agreement":null},{"id":"W4385876504","doi":"10.1007/s10468-023-10226-w","title":"A Uniqueness Property of $$\\tau $$-Exceptional Sequences","year":2023,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Conjecture; Uniqueness; Dimension (graph theory); Sequence (biology); Pure mathematics; Property (philosophy); Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.05210733862040819,"score_gpt":0.3324262356988828,"score_spread":0.2803188970784746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385876504","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99644005,0.000069603426,0.0009220569,0.0002508524,0.00027050485,0.00020877772,0.0000045407423,0.00010095561,0.0017326269],"genre_scores_gemma":[0.9975539,0.0000807771,0.00031417015,0.00003971013,0.00009054345,0.000028792922,0.0000115524235,0.000014089094,0.0018664781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904877,0.00015291719,0.00024203213,0.00020079635,0.0002258751,0.00012963302],"domain_scores_gemma":[0.99912703,0.00043685088,0.000118003925,0.00018645583,0.00008634115,0.000045323217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004022576,0.00009800669,0.00017387162,0.00008754851,0.00009795888,0.00001977886,0.00010838415,0.00006811427,0.00017223615],"category_scores_gemma":[0.00020349622,0.00006109981,0.000056703368,0.00027814697,0.0001706719,0.000116228235,0.00006977049,0.00006440205,0.000007330184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004024117,0.00001672039,0.0012200563,0.000050455325,0.00004192551,0.000002524146,0.0009157581,0.000011948815,0.0012648408,0.9919642,0.00052149704,0.0039498336],"study_design_scores_gemma":[0.00026403906,0.000034651584,0.00489099,0.000025202678,0.00002209317,0.000007175263,0.0009476864,0.000084787076,0.004151929,0.9894122,0.00006700621,0.00009225953],"about_ca_topic_score_codex":0.000042252355,"about_ca_topic_score_gemma":0.0000025498475,"teacher_disagreement_score":0.003857574,"about_ca_system_score_codex":0.000008712162,"about_ca_system_score_gemma":0.00003991427,"threshold_uncertainty_score":0.24915782},"labels":[],"label_agreement":null},{"id":"W4386026438","doi":"10.1016/j.jalgebra.2023.08.007","title":"Characterization of simple smooth modules","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Wilfrid Laurier University; China Scholarship Council; Natural Science Foundation of Jilin Province","keywords":"Mathematics; Lie conformal algebra; Affine Lie algebra; Virasoro algebra; Pure mathematics; Lie algebra; Simple (philosophy); Algebra representation; Current algebra; Affine transformation; Generalized Kac–Moody algebra; Algebra over a field; Cellular algebra","score_opus":0.029955093673348702,"score_gpt":0.28770129322063187,"score_spread":0.2577461995472832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386026438","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99781036,0.000016848251,0.0012302514,0.00017091827,0.0005773155,0.000056841483,0.0000042512675,0.000021542204,0.000111645466],"genre_scores_gemma":[0.9991217,0.000041159892,0.00039160653,0.000029163128,0.00031449407,7.998102e-7,0.000003436755,0.000018274059,0.000079329315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989634,0.000034519024,0.0004884274,0.00006437926,0.00032181788,0.00012741897],"domain_scores_gemma":[0.998939,0.00011577089,0.0005626502,0.0001460559,0.0001822915,0.000054277985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027106385,0.00008611497,0.0002785772,0.00014616674,0.000033699653,0.00001605069,0.00018409545,0.00006317389,0.00009248614],"category_scores_gemma":[0.00018989675,0.00006728558,0.00013080527,0.00025726244,0.000023769619,0.00014694365,0.00004020732,0.000110247194,0.000005049838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000093621464,0.00009226538,0.0008391967,0.000136095,0.00015530101,0.000023190045,0.0011303151,0.00002787474,0.087064765,0.90236044,0.0026459228,0.005431019],"study_design_scores_gemma":[0.00040030794,0.0001213511,0.009275645,0.000041286665,0.00003547758,0.000012890436,0.00007729224,0.00013364293,0.014878368,0.9742796,0.0006699686,0.000074162665],"about_ca_topic_score_codex":0.0000021078135,"about_ca_topic_score_gemma":5.115638e-7,"teacher_disagreement_score":0.072186396,"about_ca_system_score_codex":0.00001841217,"about_ca_system_score_gemma":0.0000399995,"threshold_uncertainty_score":0.27438262},"labels":[],"label_agreement":null},{"id":"W4386043241","doi":"10.48550/arxiv.2308.09056","title":"When are permutation invariants Cohen-Macaulay?","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Defence Academy","keywords":"Mathematics; Invariant (physics); Permutation (music); Symmetric group; Combinatorics; Permutation group; Cyclic permutation; Pure mathematics; Prime (order theory); Ring (chemistry); Order (exchange); Field (mathematics); Physics; Mathematical physics","score_opus":0.1896810208904184,"score_gpt":0.23294853093786533,"score_spread":0.04326751004744692,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386043241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96664125,0.000027087855,0.027884357,0.00018679116,0.0025303995,0.0005908699,0.00006122591,0.00056021573,0.0015178011],"genre_scores_gemma":[0.9938718,0.0000519744,0.0002817409,0.000057303205,0.0002696638,0.0000027035278,0.000045520588,0.00007987124,0.0053394362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981533,0.00014363494,0.0002842982,0.0008966374,0.00016225518,0.00035981732],"domain_scores_gemma":[0.9979621,0.00028682317,0.00047161788,0.00092385535,0.00019925239,0.00015633962],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020703503,0.00039124666,0.0005130214,0.00021358825,0.00017494406,0.00008539782,0.0007599348,0.0005531565,0.0002156112],"category_scores_gemma":[0.0002516933,0.00044158666,0.00026269062,0.00026028437,0.000082236205,0.00014246716,0.0010146414,0.0006690477,0.0001571789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060550203,0.000059243222,0.002048119,0.00025542217,0.00024575306,0.000321517,0.00064978213,0.011551268,0.000006055051,0.98058736,0.004174393,0.00004054866],"study_design_scores_gemma":[0.0005683684,0.000023539777,0.001391118,0.00018249644,0.00023216162,0.0000026995365,0.00039005358,0.016440865,0.000024931705,0.9801882,0.000103511746,0.00045205254],"about_ca_topic_score_codex":0.00022098579,"about_ca_topic_score_gemma":0.00009650351,"teacher_disagreement_score":0.027602617,"about_ca_system_score_codex":0.00025730656,"about_ca_system_score_gemma":0.00015509943,"threshold_uncertainty_score":0.9998036},"labels":[],"label_agreement":null},{"id":"W4386101045","doi":"10.1016/j.jpaa.2023.107516","title":"Representations of free products of semisimple algebras via quivers","year":2023,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Queen's University","funders":"","keywords":"Quiver; Mathematics; Simple (philosophy); Algebraically closed field; Pure mathematics; Simple module; Representation theory; Algebra over a field; Associative property; Dimension (graph theory); Free product; Moduli space; Group (periodic table)","score_opus":0.02449869623352257,"score_gpt":0.2829537337459816,"score_spread":0.258455037512459,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386101045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99776804,0.00013352817,0.0003408748,0.00049754785,0.0002769179,0.00017895097,0.000010075961,0.000018462571,0.00077561627],"genre_scores_gemma":[0.99794406,0.00006118054,0.0016173352,0.00002214794,0.00024573616,0.00000307331,0.0000025101244,0.000019975792,0.00008398615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985704,0.000027724429,0.00065661495,0.00014790714,0.00042553325,0.00017184745],"domain_scores_gemma":[0.9983831,0.00025647698,0.00072454184,0.00032894706,0.00022401672,0.00008288803],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036354092,0.00013585006,0.0004573202,0.00017336886,0.000058297857,0.000013169291,0.00029029287,0.00009026062,0.00004866657],"category_scores_gemma":[0.00024760363,0.000109178465,0.00011316231,0.0004505384,0.000090112706,0.000095176285,0.00012335922,0.00018021018,0.0000013749843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000119752694,0.000099100864,0.00035391012,0.00031409445,0.00028323694,0.000010298593,0.0022566374,0.000044024433,0.03350726,0.9342939,0.027050175,0.0016675721],"study_design_scores_gemma":[0.00091701094,0.000107165295,0.0010281706,0.000042276828,0.00011904161,0.000025892867,0.0010070108,0.000012928515,0.04677896,0.94964236,0.00021702531,0.0001021454],"about_ca_topic_score_codex":0.0000067539045,"about_ca_topic_score_gemma":0.0000025103607,"teacher_disagreement_score":0.026833149,"about_ca_system_score_codex":0.000012266225,"about_ca_system_score_gemma":0.000076855045,"threshold_uncertainty_score":0.44521686},"labels":[],"label_agreement":null},{"id":"W4386184964","doi":"10.48550/arxiv.2308.12333","title":"Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical $R$-Matrices for Superspin Chains from the Bethe/Gauge Correspondence","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Ministry of Education, Culture, Sports, Science and Technology; Institut Périmètre de physique théorique; Alfred P. Sloan Foundation","keywords":"Symplectic geometry; Quiver; Mathematics; Gauge theory; Higgs boson; Mathematical physics; Chain (unit); Pure mathematics; Physics; Quantum mechanics","score_opus":0.1306724048633355,"score_gpt":0.24155349026514583,"score_spread":0.11088108540181033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386184964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78035015,0.00016202137,0.21603656,0.00025369992,0.0010969284,0.0015082788,0.0004192419,0.00013732073,0.000035790195],"genre_scores_gemma":[0.9951227,0.00027687775,0.0012509684,0.000054709897,0.00025983353,0.000034526838,0.00008316567,0.00008039992,0.0028368717],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980117,0.000118878364,0.00030007897,0.0009417227,0.00013477134,0.0004928545],"domain_scores_gemma":[0.99392575,0.0047596986,0.0002662877,0.0007293225,0.00019874099,0.00012018646],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042569014,0.00043619607,0.00059292925,0.00012804502,0.0004856593,0.00016972366,0.0009059534,0.00044166142,0.000028413042],"category_scores_gemma":[0.00057940494,0.0003757439,0.00027487613,0.0002723151,0.00020616913,0.00012418903,0.00076482946,0.0004424993,0.0000055328137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040499467,0.000045167337,0.00059092994,0.00038268237,0.0003251204,0.000010589654,0.0018422923,0.0028011017,0.000022046654,0.992444,0.0010773599,0.000053723965],"study_design_scores_gemma":[0.0007481558,0.00010117318,0.00042203476,0.00011748242,0.0004248646,8.484877e-7,0.0013517124,0.13335097,0.000036817477,0.86282283,0.00021948955,0.00040361786],"about_ca_topic_score_codex":0.0008635253,"about_ca_topic_score_gemma":0.000426969,"teacher_disagreement_score":0.21478559,"about_ca_system_score_codex":0.00019516742,"about_ca_system_score_gemma":0.00025120354,"threshold_uncertainty_score":0.99986947},"labels":[],"label_agreement":null},{"id":"W4386223083","doi":"10.1142/s0217751x23300144","title":"Feigin–Semikhatov conjecture and related topics","year":2023,"lang":"en","type":"article","venue":"International Journal of Modern Physics A","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Conjecture; Duality (order theory); Generalization; Connection (principal bundle); Pure mathematics; Physics; Vertex operator algebra; Type (biology); Coset; Algebra over a field; Algebraic number; Algebra representation; Mathematics; Jordan algebra; Combinatorics","score_opus":0.02625951036937312,"score_gpt":0.3080347280495788,"score_spread":0.2817752176802057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386223083","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9919693,0.00014061193,0.0029400575,0.0018171231,0.0021466748,0.00005741397,0.000007397882,0.00003536195,0.0008860506],"genre_scores_gemma":[0.9983239,0.0000738212,0.0003740319,0.00006294246,0.0007687017,0.0000010076387,0.0000029521257,0.000017339959,0.0003752848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990234,0.000022633942,0.00030262457,0.00009702669,0.00044507603,0.00010928055],"domain_scores_gemma":[0.99920595,0.0001288105,0.00026772774,0.00009643248,0.00024487422,0.000056221408],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013849248,0.00010236166,0.00018473667,0.00006956989,0.000033844404,0.000054157204,0.00026505126,0.000066110115,0.000020259922],"category_scores_gemma":[0.000097949836,0.000084527164,0.00010517216,0.00008904211,0.0000316395,0.00013600275,0.000085898806,0.00021888052,0.000004116073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033197895,0.000033892702,0.00026331385,0.0000103747525,0.00031273183,0.00008250617,0.0011473976,0.00031824672,0.0003860692,0.975171,0.0020381152,0.020203121],"study_design_scores_gemma":[0.00065033505,0.000035327816,0.00029590906,0.00004574563,0.000025866877,0.00011450741,0.00003278853,0.0029045565,0.0004025471,0.99465823,0.00075016986,0.00008400209],"about_ca_topic_score_codex":0.0000022973993,"about_ca_topic_score_gemma":4.57118e-7,"teacher_disagreement_score":0.02011912,"about_ca_system_score_codex":0.000039005896,"about_ca_system_score_gemma":0.000048725822,"threshold_uncertainty_score":0.34469178},"labels":[],"label_agreement":null},{"id":"W4386231606","doi":"10.48550/arxiv.2308.13120","title":"On infinite-dimensional Hopf algebras","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Agencia Nacional de Promoción Científica y Tecnológica; Fondo para la Investigación Científica y Tecnológica; Consejo Nacional de Investigaciones Científicas y Técnicas; Canadian Institute for Advanced Research","keywords":"Hopf algebra; Dimension (graph theory); Representation theory of Hopf algebras; Mathematics; Quasitriangular Hopf algebra; Pure mathematics; Quantum group; Algebra over a field; Division algebra; Algebra representation","score_opus":0.1411388244891491,"score_gpt":0.22962227142725253,"score_spread":0.08848344693810342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386231606","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9920762,0.000013883712,0.0018537508,0.00009672646,0.0026985144,0.0003620506,0.00003816207,0.0004940675,0.002366637],"genre_scores_gemma":[0.9939737,0.000024357703,0.00016789383,0.00014463841,0.000250553,0.0000019210522,0.000035732493,0.00008507452,0.0053161806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801844,0.000117984564,0.00027453946,0.00097613834,0.00020394527,0.000408957],"domain_scores_gemma":[0.997455,0.00083000015,0.00028422134,0.0011031958,0.0001400819,0.00018751805],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020159989,0.000457301,0.00051313295,0.00028718385,0.00020658497,0.000052177948,0.0007399564,0.0005724017,0.00029989737],"category_scores_gemma":[0.00027902215,0.0004841616,0.00036216815,0.0003607479,0.00010525366,0.00006797209,0.0012188753,0.00092348986,0.00039941934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000090992995,0.000071813236,0.00014943065,0.000079336576,0.00016994619,0.00021480974,0.00008260725,0.031644356,0.0000026541038,0.9621473,0.0053210533,0.000025701842],"study_design_scores_gemma":[0.0006080651,0.000074081465,0.00023113405,0.00016205758,0.00013841146,0.0000020050481,0.000038622293,0.009475795,0.000034138233,0.9886073,0.00013861875,0.0004897758],"about_ca_topic_score_codex":0.000107290056,"about_ca_topic_score_gemma":0.000026627695,"teacher_disagreement_score":0.02646,"about_ca_system_score_codex":0.00020173853,"about_ca_system_score_gemma":0.00018242303,"threshold_uncertainty_score":0.999761},"labels":[],"label_agreement":null},{"id":"W4386384899","doi":"10.3204/pubdb-2024-05936","title":"Bethe Ansatz inside Calogero-Sutherland models","year":2023,"lang":"en","type":"article","venue":"Desy publication database (The Deutsches Elektronen-Synchrotron)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation; National Centres of Competence in Research SwissMAP; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Yangian; Bethe ansatz; Integrable system; Mathematical physics; Spin (aerodynamics); Symmetry (geometry); Physics; Quantum mechanics; Spins; Quantum; Mathematics; Geometry","score_opus":0.08088699033121817,"score_gpt":0.3063223116578285,"score_spread":0.22543532132661037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386384899","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94966125,0.0005136175,0.031632017,0.0090078795,0.0009975012,0.0025101537,0.00055372634,0.0018675849,0.0032562418],"genre_scores_gemma":[0.99182004,0.00015162714,0.0029426469,0.0007933967,0.0006876453,0.0007891361,0.0015385264,0.00016080504,0.0011161544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99582076,0.0003724572,0.0008775568,0.00091587496,0.0009929076,0.0010204195],"domain_scores_gemma":[0.99532086,0.00095443014,0.00046282614,0.0025227251,0.00042854925,0.0003106351],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014954569,0.0005647619,0.00059502997,0.00035541534,0.0006929628,0.0003399905,0.0014235822,0.00026980267,0.00032214212],"category_scores_gemma":[0.0008241191,0.00042180935,0.00025492313,0.001411267,0.0002840111,0.0012153238,0.0005346983,0.00065723516,0.0006719678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068087196,0.00015468444,0.00028733592,0.000087099375,0.00025352548,0.000008074376,0.0008859206,0.00028449693,0.0016719423,0.9395606,0.05271887,0.004019351],"study_design_scores_gemma":[0.0019966322,0.000110396395,0.001158703,0.0000780678,0.0002696595,0.000049757837,0.0005701586,0.025415722,0.0043868483,0.8947612,0.07011477,0.001088109],"about_ca_topic_score_codex":0.00019416261,"about_ca_topic_score_gemma":0.000090257236,"teacher_disagreement_score":0.044799432,"about_ca_system_score_codex":0.00018131678,"about_ca_system_score_gemma":0.00025563853,"threshold_uncertainty_score":0.9998234},"labels":[],"label_agreement":null},{"id":"W4386609083","doi":"10.1090/ert/651","title":"Cosets from equivariant 𝒲-algebras","year":2023,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Artificial intelligence; Mathematics; Computer science","score_opus":0.049896735882045344,"score_gpt":0.3379800855545498,"score_spread":0.28808334967250443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386609083","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98111236,0.000014869131,0.015533451,0.0008620823,0.00026663305,0.00036745612,0.000023517743,0.00020402126,0.0016155965],"genre_scores_gemma":[0.993454,0.000016368094,0.0054787933,0.00025683732,0.00013039412,0.000032286596,0.0000067579704,0.000039454255,0.0005851235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99795675,0.00034424872,0.0004956833,0.00029526412,0.00062226626,0.00028576367],"domain_scores_gemma":[0.9953362,0.003121047,0.0005414646,0.0008436177,0.00007622044,0.00008146516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068027107,0.00018574685,0.0004907235,0.000025032936,0.0001704048,0.000029999395,0.00057607534,0.000062095285,0.00034793167],"category_scores_gemma":[0.0011695034,0.00012277933,0.00055221526,0.00079364574,0.0006408094,0.000073497846,0.0003476568,0.00018003723,0.000065864224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036243808,0.000063637795,0.00022428094,0.00004122278,0.00020162975,7.496272e-7,0.0024638984,0.000020583318,0.0014731184,0.9904798,0.003836552,0.0011582649],"study_design_scores_gemma":[0.00028286836,0.00002590916,0.0029841706,0.00004219572,0.00009750323,0.00000206187,0.0030540938,0.0011413675,0.0036091902,0.9885913,0.000029926936,0.00013939333],"about_ca_topic_score_codex":0.00003990142,"about_ca_topic_score_gemma":4.6984738e-7,"teacher_disagreement_score":0.012341611,"about_ca_system_score_codex":0.000044625463,"about_ca_system_score_gemma":0.000041482002,"threshold_uncertainty_score":0.50067955},"labels":[],"label_agreement":null},{"id":"W4386648112","doi":"10.1016/j.aim.2023.109292","title":"Composition series of arbitrary cardinality in modular lattices and abelian categories","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Hausdorff Research Institute for Mathematics; Canada Research Chairs; Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics; Université du Québec à Montréal; Universiteit Gent; Université de Sherbrooke; Bijzonder Onderzoeksfonds UGent; Brandeis University","keywords":"Mathematics; Abelian group; Conjecture; Indecomposable module; Axiom; Cardinality (data modeling); Series (stratigraphy); Simple (philosophy); Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.024587197665587784,"score_gpt":0.30775043623871134,"score_spread":0.28316323857312353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386648112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9975882,0.00086179754,0.0002209048,0.00007892503,0.00016847333,0.00020684164,0.0000071810455,0.00005314481,0.0008145073],"genre_scores_gemma":[0.9886961,0.0007146388,0.010480355,0.0000068307677,0.000024789608,0.000023018507,0.000004664475,0.000017137558,0.000032476135],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989545,0.000044769997,0.00044095807,0.00016619972,0.00020670802,0.00018686238],"domain_scores_gemma":[0.99921316,0.0003384897,0.0001575464,0.00022841225,0.00003463334,0.000027765074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003311084,0.00014030394,0.00039597639,0.0001300097,0.000036585076,0.000015660935,0.00012746612,0.00007264926,0.0000062255276],"category_scores_gemma":[0.000111443085,0.00012626234,0.000036303893,0.00039154993,0.00012688604,0.00036924813,0.000074137024,0.0001193214,0.0000013404419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017554883,0.00006395719,0.004483235,0.0013366517,0.000013400562,0.0000119894885,0.003890237,0.00027189375,0.00023714895,0.98926723,0.0000067647975,0.00039995284],"study_design_scores_gemma":[0.00027936525,0.00003342258,0.0022159244,0.00019173567,0.000014208589,0.000007832604,0.0016631731,0.001271174,0.0008814502,0.99327123,0.00004309621,0.00012739279],"about_ca_topic_score_codex":0.000018623265,"about_ca_topic_score_gemma":0.00004353248,"teacher_disagreement_score":0.0102594495,"about_ca_system_score_codex":0.000023079749,"about_ca_system_score_gemma":0.000015466618,"threshold_uncertainty_score":0.51488286},"labels":[],"label_agreement":null},{"id":"W4386738085","doi":"10.1112/jlms.12815","title":"A functor for constructing R$R$‐matrices in the category O$\\mathcal {O}$ of Borel quantum loop algebras","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission","keywords":"Mathematics; Functor; Isomorphism (crystallography); Subalgebra; Pure mathematics; Ring (chemistry); Irreducibility; Factorization; Invertible matrix; Tensor product; Tensor (intrinsic definition); Interpretation (philosophy); Algebra over a field; Linguistics","score_opus":0.047264126069877746,"score_gpt":0.3125751336886367,"score_spread":0.265311007618759,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386738085","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99572784,0.0002057776,0.0014101922,0.0014938281,0.00055466196,0.0004995179,0.000008463184,0.000022187201,0.00007752559],"genre_scores_gemma":[0.99517703,0.000049531303,0.0042041745,0.00011989367,0.00031883747,0.000019396215,5.404227e-7,0.0000351357,0.00007543865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99734795,0.00017301209,0.0011584522,0.00014899463,0.00079952925,0.00037207882],"domain_scores_gemma":[0.99507666,0.0032436235,0.0010073895,0.00039370978,0.00021162213,0.00006700517],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021948596,0.00021791746,0.00065862504,0.000047197773,0.00016766897,0.000053075204,0.0009015319,0.00018617316,0.00003330774],"category_scores_gemma":[0.001640909,0.000107865926,0.0009849012,0.0006153409,0.00022239816,0.000115915405,0.00015327627,0.000518664,0.0000032425696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009477063,0.00017204181,0.0005169227,0.00092573324,0.00019855106,0.000005106147,0.005615338,0.000024775702,0.0010996646,0.9842965,0.0068813707,0.00016921535],"study_design_scores_gemma":[0.0012667835,0.00009533068,0.00049048505,0.00021495236,0.00015901991,0.000111111694,0.0051139835,0.0016005551,0.0008370559,0.98991615,0.00006780935,0.00012674074],"about_ca_topic_score_codex":0.000004233923,"about_ca_topic_score_gemma":0.0000012360182,"teacher_disagreement_score":0.0068135615,"about_ca_system_score_codex":0.00006771091,"about_ca_system_score_gemma":0.00012546589,"threshold_uncertainty_score":0.4398645},"labels":[],"label_agreement":null},{"id":"W4386838969","doi":"10.1016/j.aim.2023.109295","title":"Rational Cherednik algebras of G(ℓ,p,n) from the Coulomb perspective","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Ontario Ministry of Research, Innovation and Science; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Mathematics; Lift (data mining); Pure mathematics; Algebra over a field; Representation theory; Simple (philosophy); Basis (linear algebra); Group (periodic table); Geometry; Physics; Quantum mechanics","score_opus":0.0308015326417692,"score_gpt":0.33742526062361716,"score_spread":0.30662372798184795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386838969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98060346,0.0019319312,0.004137496,0.00084407267,0.0009827132,0.00069373316,0.00005563492,0.00018094105,0.010570009],"genre_scores_gemma":[0.98916894,0.0003228792,0.009946829,0.000049739305,0.00018640597,0.000046542576,0.000008369084,0.00003350952,0.00023679477],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875075,0.000050147948,0.00043672675,0.00019747013,0.00036101928,0.00020389278],"domain_scores_gemma":[0.9969189,0.0022852158,0.00023462785,0.0004135758,0.000119702236,0.000027982067],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032390375,0.00015893654,0.0003142942,0.000052042364,0.000068878275,0.000017165066,0.0003875737,0.00007748369,0.00017762605],"category_scores_gemma":[0.00097614113,0.00010951774,0.00008830459,0.0004502207,0.0001333998,0.00017048925,0.000102632635,0.00017252096,0.000026953849],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009049178,0.00005943579,0.00025999983,0.00004392293,0.00002869737,0.0000017669158,0.006579023,0.00014587412,0.00004613601,0.9921315,0.00035769673,0.00033689832],"study_design_scores_gemma":[0.00035928527,0.00002028892,0.0006249306,0.00008741566,0.000021936106,0.0000013786218,0.008396259,0.0015862819,0.00031233503,0.9881408,0.00032850745,0.00012053629],"about_ca_topic_score_codex":0.000030259549,"about_ca_topic_score_gemma":0.00005529079,"teacher_disagreement_score":0.010333214,"about_ca_system_score_codex":0.00006157238,"about_ca_system_score_gemma":0.000050607294,"threshold_uncertainty_score":0.44660038},"labels":[],"label_agreement":null},{"id":"W4386840016","doi":"10.48550/arxiv.2309.07956","title":"Classifying fermionic states via many-body correlation measures","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ministry of Colleges and Universities; Institut Périmètre de physique théorique; European Commission; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Government of Canada","keywords":"Ansatz; Slater determinant; Wave function; Physics; Fermion; Eigenvalues and eigenvectors; Mathematical physics; Cluster expansion; Hilbert space; Omega; State (computer science); Quantum mechanics; Combinatorics; Mathematics","score_opus":0.16913704059213933,"score_gpt":0.23657278554851063,"score_spread":0.06743574495637131,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386840016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57351863,0.00005697579,0.42182362,0.000066498236,0.0028557507,0.0004874439,0.000014256916,0.0006199208,0.0005568835],"genre_scores_gemma":[0.9955191,0.0001866321,0.00012478036,0.000022289429,0.00021840502,0.0000027208869,0.00005750861,0.000085225365,0.0037833434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801236,0.00016730359,0.0003389122,0.0008698096,0.00019906681,0.00041251615],"domain_scores_gemma":[0.997908,0.00047084782,0.00041231734,0.00086402695,0.00019814544,0.00014664553],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00029470542,0.00042339737,0.0005048344,0.00025000778,0.000256511,0.0000856335,0.0006442207,0.0005551682,0.00008410101],"category_scores_gemma":[0.00016733614,0.00046483192,0.00031194056,0.00035463335,0.00009377323,0.00014657626,0.00082762796,0.00085081457,0.00012654264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005943347,0.00004343939,0.0013072608,0.00021474568,0.00022193578,0.00010106356,0.00023589774,0.075181656,0.0000106293255,0.9220742,0.00043774323,0.00011201125],"study_design_scores_gemma":[0.00036956847,0.000025236222,0.000525864,0.00012961781,0.00020608299,0.000001715961,0.00013299625,0.24721928,0.000023019145,0.75095046,0.000051608233,0.0003645704],"about_ca_topic_score_codex":0.00020008543,"about_ca_topic_score_gemma":0.000036930527,"teacher_disagreement_score":0.42200047,"about_ca_system_score_codex":0.0003751043,"about_ca_system_score_gemma":0.0001447572,"threshold_uncertainty_score":0.99978036},"labels":[],"label_agreement":null},{"id":"W4386896389","doi":"10.1112/plms.12560","title":"An identity in the Bethe subalgebra of C[Sn]$\\mathbb {C}[\\mathfrak {S}_n]$","year":2023,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bethe ansatz; Mathematics; Conjecture; Subalgebra; Identity (music); Combinatorics; Cartan subalgebra; Group (periodic table); Inverse; Pure mathematics; Mathematical physics; Algebra over a field; Quantum mechanics; Integrable system; Physics; Geometry; Current algebra; Affine Lie algebra","score_opus":0.0312969808023967,"score_gpt":0.3227368528068998,"score_spread":0.2914398720045031,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386896389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9970698,0.000036686863,0.00012035261,0.00086351036,0.00014626795,0.0006873422,0.000007959977,0.00010396667,0.00096415373],"genre_scores_gemma":[0.9974431,0.000025590492,0.002135174,0.00012792286,0.000087674496,0.000058009304,0.0000012441488,0.000042992124,0.00007829947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971974,0.000036251462,0.00084586453,0.00031978893,0.0011446907,0.00045601543],"domain_scores_gemma":[0.9978345,0.000877386,0.000510783,0.00048550247,0.00022003548,0.00007176637],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002408897,0.0002797575,0.00061679666,0.000050711038,0.00017814369,0.00008688384,0.0018507584,0.00023581335,0.000059665766],"category_scores_gemma":[0.0010824673,0.00015655151,0.0005792193,0.0013501408,0.00035013322,0.00039075394,0.00037142134,0.0004518611,0.0000107904325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015021503,0.00024520236,0.0011541207,0.00096276216,0.000050311864,2.8291055e-7,0.010087595,0.0000024514054,0.0023798475,0.9832908,0.0017199856,0.00009164451],"study_design_scores_gemma":[0.00044116192,0.0000652118,0.0026685994,0.00017802518,0.00008708867,0.0000070193028,0.004862718,0.0016838154,0.0045157075,0.9853019,0.000020240788,0.00016852168],"about_ca_topic_score_codex":0.00002170009,"about_ca_topic_score_gemma":0.00000391321,"teacher_disagreement_score":0.005224878,"about_ca_system_score_codex":0.00005015439,"about_ca_system_score_gemma":0.000037834663,"threshold_uncertainty_score":0.6383985},"labels":[],"label_agreement":null},{"id":"W4386925723","doi":"10.1007/jhep09(2023)141","title":"Drinfel’d double symmetry of the 4d Kitaev model","year":2023,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Physics; Topological quantum field theory; Categorical variable; Bialgebra; Mirror symmetry; Duality (order theory); Pure mathematics; Symmetry (geometry); Theoretical physics; Quantum; Mathematics; Quantum mechanics; Hopf algebra; Geometry","score_opus":0.030628564060123233,"score_gpt":0.26979924572688735,"score_spread":0.2391706816667641,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386925723","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96799815,0.000049701997,0.02892651,0.00024691518,0.0016184091,0.00004213513,0.0000038032686,0.000025784417,0.0010885877],"genre_scores_gemma":[0.9979784,0.00003112999,0.00085071527,0.000056747926,0.0005512375,0.0000015859179,6.0221663e-7,0.000028195058,0.00050137227],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987344,0.00003108564,0.00044260707,0.00008843162,0.00052370195,0.00017975681],"domain_scores_gemma":[0.9987013,0.00013717571,0.0005546908,0.00033535904,0.00021481942,0.000056683122],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015631951,0.00013407959,0.00034608055,0.000052534437,0.0000894769,0.000023481018,0.00044119704,0.00007682422,0.00000696234],"category_scores_gemma":[0.000034334844,0.000084272855,0.00029222842,0.0003961015,0.00006167279,0.00012391004,0.00013417155,0.00019491141,9.655486e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033628454,0.000052484127,0.000027166974,0.00002190297,0.00009545772,0.0000025043144,0.00012332376,0.0130468365,0.00018242632,0.98366123,0.002380457,0.00037256925],"study_design_scores_gemma":[0.000722239,0.000046220448,0.000058765534,0.000047771202,0.00007054413,0.000006789646,0.0000325062,0.002923105,0.013858589,0.9820183,0.00012560941,0.00008955906],"about_ca_topic_score_codex":0.000027190083,"about_ca_topic_score_gemma":0.0000022975366,"teacher_disagreement_score":0.02998026,"about_ca_system_score_codex":0.000036568043,"about_ca_system_score_gemma":0.00014947033,"threshold_uncertainty_score":0.34365472},"labels":[],"label_agreement":null},{"id":"W4386977804","doi":"10.48550/arxiv.2309.12103","title":"Categorical Pentagon Relations and Koszul Duality","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Krembil Foundation; Government of Canada; National Science Foundation","keywords":"Categorification; Mathematics; Duality (order theory); Pure mathematics; Pentagon; Cobordism; Hopf algebra; Quadratic equation; Interpretation (philosophy); Parallel transport; Algebra over a field; Geometry; Computer science","score_opus":0.2117765196514218,"score_gpt":0.2446611567692628,"score_spread":0.03288463711784101,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386977804","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97995424,0.000032704975,0.016109746,0.00019235967,0.0012628359,0.00033672023,0.000023327737,0.00031875834,0.0017693198],"genre_scores_gemma":[0.99395376,0.00006708379,0.00015386127,0.000017729175,0.00014595779,0.0000013449121,0.000024646426,0.000037110094,0.0055984817],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986269,0.00011532745,0.00021990204,0.0006946389,0.000095683594,0.0002475681],"domain_scores_gemma":[0.99859995,0.00033457033,0.0001928905,0.0006378358,0.000085845946,0.00014893016],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00019567202,0.00026143744,0.0003540558,0.00011946101,0.00018576698,0.00005052937,0.00033167872,0.00040596552,0.00008939179],"category_scores_gemma":[0.00014805517,0.00028513317,0.00015674719,0.00023526454,0.00010436012,0.00008473813,0.001024083,0.0006166312,0.000055217704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020830974,0.000034142748,0.002118162,0.00008340735,0.00007331367,0.000073833486,0.0002010631,0.001344446,0.0000016426706,0.99465746,0.0013742165,0.000017507378],"study_design_scores_gemma":[0.00034379333,0.000019660945,0.0023055763,0.000022909033,0.0001922425,0.0000033163294,0.00015878449,0.006254307,0.000008124351,0.9902412,0.00015900598,0.00029107783],"about_ca_topic_score_codex":0.0003208337,"about_ca_topic_score_gemma":0.00006158386,"teacher_disagreement_score":0.015955884,"about_ca_system_score_codex":0.00017378032,"about_ca_system_score_gemma":0.000099012854,"threshold_uncertainty_score":0.99996006},"labels":[],"label_agreement":null},{"id":"W4386991623","doi":"10.1007/s00220-023-04843-1","title":"Rigid Tensor Structure on Big Module Categories for Some W-(super)algebras in Type A","year":2023,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Vertex operator algebra; Mathematics; Vertex (graph theory); Superalgebra; Simple module; Tensor product; Pure mathematics; Indecomposable module; Algebraic structure; Combinatorics; Simple (philosophy); Algebra over a field; Algebra representation; Jordan algebra; Graph","score_opus":0.1127162953010739,"score_gpt":0.3611857854346366,"score_spread":0.24846949013356268,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386991623","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9903833,0.00017412317,0.002530386,0.0019577777,0.00074080145,0.0017960988,0.00006837048,0.000360608,0.0019884952],"genre_scores_gemma":[0.9905246,0.00006299965,0.008568262,0.00011727136,0.00020106813,0.00022301996,0.000055928773,0.00006620508,0.00018066718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843097,0.000108138134,0.00053356413,0.00028361942,0.00025792726,0.00038575663],"domain_scores_gemma":[0.9958404,0.0019553073,0.00010946835,0.0019310152,0.00010158295,0.00006225379],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002860515,0.00025315073,0.00048182817,0.00015601818,0.00016871853,0.000053778505,0.0010409459,0.00014718687,0.000020620764],"category_scores_gemma":[0.0009965629,0.00022132552,0.00010609312,0.0009200181,0.00018643169,0.00012530271,0.00034137885,0.00043442452,0.00005841175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023646866,0.00023282145,0.000059750928,0.00014808436,0.000020177995,7.465356e-7,0.0010071242,0.00012987283,0.00007057146,0.9961103,0.0006576854,0.001539189],"study_design_scores_gemma":[0.0005989645,0.00006490849,0.00017437711,0.000114917944,0.000020144365,0.0000012278161,0.00027961182,0.01166287,0.00027868332,0.98625845,0.00030839266,0.00023745243],"about_ca_topic_score_codex":0.00000923661,"about_ca_topic_score_gemma":0.000024794723,"teacher_disagreement_score":0.011532997,"about_ca_system_score_codex":0.00011541921,"about_ca_system_score_gemma":0.00007552935,"threshold_uncertainty_score":0.9025393},"labels":[],"label_agreement":null},{"id":"W4387029337","doi":"10.21468/scipost.report.6415","title":"Report on scipost_202208_00018v1","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Knut och Alice Wallenbergs Stiftelse","keywords":"Computer science","score_opus":0.06893722056557133,"score_gpt":0.365998361132314,"score_spread":0.29706114056674265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387029337","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00012257649,0.01192783,0.000048064197,0.05123854,0.04521424,0.00200564,0.00022009222,0.00060427195,0.88861877],"genre_scores_gemma":[0.00010910983,0.001061011,0.00036416404,0.006302033,0.0011713951,0.00025307926,0.0006906757,0.00013571765,0.9899128],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99657714,0.00011093104,0.00075657427,0.00074134953,0.0014596011,0.0003544015],"domain_scores_gemma":[0.997235,0.00035244998,0.00051947735,0.0016337653,0.00014479639,0.00011452692],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00066227926,0.00047213348,0.0009813858,0.0001115329,0.00020283191,0.000037900576,0.0007010455,0.00024031087,0.07706955],"category_scores_gemma":[0.0009222587,0.00038094792,0.00045357493,0.0002613115,0.0000323598,0.000027846561,0.0004809924,0.0010097115,0.00010054941],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000045423044,0.000036988687,2.5094602e-7,0.00084531424,0.00006127795,0.00020148628,0.00000634421,3.2646594e-7,3.8858875e-8,0.32660276,0.6717508,0.00048989814],"study_design_scores_gemma":[0.00009261839,0.0000676769,3.8192806e-7,0.00041994022,0.00012846258,0.00012631742,0.0000036797117,8.882924e-7,0.0000021257897,0.40849897,0.5903984,0.00026054314],"about_ca_topic_score_codex":0.00010633707,"about_ca_topic_score_gemma":0.000012521595,"teacher_disagreement_score":0.10129407,"about_ca_system_score_codex":0.00024374614,"about_ca_system_score_gemma":0.00033718575,"threshold_uncertainty_score":0.9998642},"labels":[],"label_agreement":null},{"id":"W4387097657","doi":"10.1007/s00209-023-03359-7","title":"Quantum hooks and mirror symmetry for flag varieties","year":2023,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Flag (linear algebra); Mathematics; Quantum cohomology; Hook; Polynomial ring; Mirror symmetry; Superpotential; Variety (cybernetics); Ring (chemistry); Pure mathematics; Lambda; Combinatorics; Homomorphism; Morphism; Cohomology; Quantum; Center (category theory); Polynomial; Algebra over a field; Equivariant cohomology; Crystallography; Physics; Mathematical physics; Quantum mechanics; Mathematical analysis","score_opus":0.040595545229733895,"score_gpt":0.2969179322546153,"score_spread":0.2563223870248814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387097657","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8574034,0.029615238,0.045395963,0.007034292,0.027603919,0.011914024,0.0012541543,0.0040497007,0.015729332],"genre_scores_gemma":[0.96967715,0.0009062526,0.018442303,0.0002890801,0.0013729279,0.0005847796,0.00011299473,0.00047316364,0.008141344],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958887,0.000149056,0.0011044502,0.00094221503,0.000740531,0.0011750412],"domain_scores_gemma":[0.9957009,0.0021228527,0.00051266735,0.0010675909,0.00024072883,0.00035524165],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012461301,0.0008429573,0.0012968482,0.0003422754,0.00065382826,0.00043217195,0.000621282,0.00074734056,0.00023840998],"category_scores_gemma":[0.0013447667,0.00075573265,0.0004338845,0.00057996804,0.00026700745,0.0002456658,0.00057285576,0.0005480003,0.00073142775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008240667,0.00010492704,0.000045162586,0.0032801814,0.0005823593,0.000016479664,0.0041837515,8.946354e-7,0.00029116176,0.96517617,0.025493937,0.00074256683],"study_design_scores_gemma":[0.0017925245,0.00030956336,0.0001267523,0.00047874084,0.00075984,0.000021079166,0.0015023832,0.005621009,0.001055287,0.9304054,0.057005413,0.0009220486],"about_ca_topic_score_codex":0.00004949084,"about_ca_topic_score_gemma":0.0000063627986,"teacher_disagreement_score":0.112273775,"about_ca_system_score_codex":0.000012281342,"about_ca_system_score_gemma":0.00015638399,"threshold_uncertainty_score":0.99948937},"labels":[],"label_agreement":null},{"id":"W4387113776","doi":"10.48550/arxiv.2309.14524","title":"Sidon sequences and nonpositive curvarture","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Sequence (biology); Integer (computer science); Mathematics; Combinatorics; Space (punctuation); Discrete mathematics; Arithmetic; Computer science","score_opus":0.14843851530741686,"score_gpt":0.22961962866291588,"score_spread":0.08118111335549902,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387113776","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98994184,0.00007992752,0.0057782414,0.0001362254,0.0013670648,0.00036820082,0.00004124182,0.0003034635,0.0019838044],"genre_scores_gemma":[0.99644023,0.00021528192,0.00018745386,0.000039375493,0.00019859226,0.0000012963935,0.0000137956595,0.000038851813,0.0028651413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998638,0.00009499371,0.00016014202,0.0007482302,0.00009172086,0.000266944],"domain_scores_gemma":[0.9987443,0.0003245349,0.00020003706,0.00049869827,0.00010534237,0.00012710676],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001387812,0.00031532656,0.0003895833,0.000121077996,0.00014788688,0.00006456852,0.00040469572,0.00043080942,0.00003766382],"category_scores_gemma":[0.00008925623,0.0003220681,0.0001475015,0.0002115305,0.00014817782,0.00009949717,0.0008924923,0.0005817724,0.000023398834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035799352,0.000020424604,0.0008019348,0.00015884686,0.00015274936,0.00019445755,0.00041031337,0.001726285,0.000006890454,0.9957036,0.0007389206,0.000049789724],"study_design_scores_gemma":[0.00028684142,0.000039852777,0.00044196926,0.00014634669,0.00017293588,0.0000040641576,0.00027832045,0.0052816565,0.000047844725,0.9928414,0.00010831915,0.00035042016],"about_ca_topic_score_codex":0.00021436093,"about_ca_topic_score_gemma":0.00006756988,"teacher_disagreement_score":0.006498381,"about_ca_system_score_codex":0.000101360565,"about_ca_system_score_gemma":0.000097790944,"threshold_uncertainty_score":0.9999231},"labels":[],"label_agreement":null},{"id":"W4387293232","doi":"10.48550/arxiv.2309.16749","title":"A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Industry Canada; Government of Canada; National Science Foundation","keywords":"Symmetry breaking; Anomaly (physics); Exact sequence; Physics; Symmetry (geometry); Homomorphism; Theoretical physics; Mathematics; Mathematical physics; Combinatorics; Quantum mechanics; Geometry","score_opus":0.1471805930979433,"score_gpt":0.260211208751561,"score_spread":0.11303061565361772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387293232","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99073553,0.000095635754,0.006504974,0.000034822264,0.00084091845,0.00045528528,0.00003615901,0.00022699036,0.0010696825],"genre_scores_gemma":[0.99823004,0.00009890469,0.00050751044,0.000050400948,0.00009778045,0.0000033821564,0.000017899523,0.000069655376,0.0009244401],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99772495,0.00018303645,0.00035247186,0.0011130802,0.00013809804,0.0004883592],"domain_scores_gemma":[0.99771804,0.00096100493,0.00032994532,0.00073293166,0.00009797436,0.00016011499],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00028597267,0.00050940627,0.0006934995,0.0003507376,0.00011533803,0.00011039361,0.0005290748,0.00053399603,0.00018904149],"category_scores_gemma":[0.00021398341,0.0005441885,0.00024358535,0.0005238743,0.00032659428,0.00017911736,0.0009107507,0.0008702506,0.000012289417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011183728,0.00015784538,0.029663496,0.00054201984,0.00048627972,0.0017014113,0.0004386641,0.0021722082,0.000021007485,0.9639046,0.00013116884,0.0006694172],"study_design_scores_gemma":[0.0009638841,0.000056446028,0.0046423045,0.00044167734,0.0002463674,0.000022833656,0.00014584977,0.0013720002,0.000025809462,0.99143386,0.000024935225,0.0006240589],"about_ca_topic_score_codex":0.0009828017,"about_ca_topic_score_gemma":0.0002331768,"teacher_disagreement_score":0.02752919,"about_ca_system_score_codex":0.00022281025,"about_ca_system_score_gemma":0.00017273553,"threshold_uncertainty_score":0.99970096},"labels":[],"label_agreement":null},{"id":"W4387311441","doi":"10.1007/s40879-023-00686-1","title":"Rouquier dimension is Krull dimension for normal toric varieties","year":2023,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dimension (graph theory); Global dimension; Pure mathematics; Krull dimension; Derived category; Bounded function; Algebra over a field; Mathematical analysis; Functor","score_opus":0.0477851123920818,"score_gpt":0.28609826928440896,"score_spread":0.23831315689232715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387311441","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9745466,0.00012836633,0.020655986,0.00044407684,0.0023473117,0.00029061604,0.0000065826553,0.00010377301,0.0014766817],"genre_scores_gemma":[0.955882,0.000070384725,0.040328644,0.0001447082,0.0009753162,0.0000029566831,0.0000029111245,0.0001455881,0.0024474824],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978989,0.00013134905,0.000920458,0.00015402211,0.00057199,0.0003233286],"domain_scores_gemma":[0.9977865,0.0006151243,0.0007505691,0.0003499699,0.00036259412,0.00013523661],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017342736,0.00023813549,0.00046423214,0.00016676425,0.00017542818,0.00006951601,0.00036972208,0.000056269775,0.00007137876],"category_scores_gemma":[0.0006192203,0.00017727636,0.00029839092,0.00024283133,0.000041216834,0.00016485451,0.00016335881,0.00023502953,0.000071704264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019330003,0.0004220942,0.00006752423,0.0009319991,0.00041511605,0.00016972741,0.021848446,0.0001928534,0.002465327,0.7971623,0.17365119,0.002480136],"study_design_scores_gemma":[0.0016154294,0.0007102417,0.00015430823,0.00027866315,0.0002287726,0.0001607926,0.0013565769,0.0019619411,0.0016242234,0.98475623,0.006817156,0.00033566653],"about_ca_topic_score_codex":3.9859492e-7,"about_ca_topic_score_gemma":1.143675e-7,"teacher_disagreement_score":0.18759394,"about_ca_system_score_codex":0.000043533662,"about_ca_system_score_gemma":0.000041573316,"threshold_uncertainty_score":0.722912},"labels":[],"label_agreement":null},{"id":"W4387521468","doi":"10.1016/j.jalgebra.2023.09.042","title":"Highest weight modules over the quantum periplectic superalgebra of type P","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lie superalgebra; Superalgebra; Type (biology); Pure mathematics; Decomposition; Tensor (intrinsic definition); Supermatrix; Representation (politics); Quantum; Algebra over a field; Chemistry; Physics; Affine Lie algebra; Quantum mechanics","score_opus":0.032404383499686426,"score_gpt":0.2937873784263341,"score_spread":0.2613829949266477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387521468","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9954071,0.00039632487,0.00008076499,0.0013289958,0.002462287,0.000110611385,0.0000024175451,0.000034666584,0.00017683477],"genre_scores_gemma":[0.99854016,0.00017701248,0.00025819158,0.000086044354,0.0006818017,0.0000018356731,9.26272e-7,0.000040165112,0.00021384872],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99813664,0.00011164225,0.00070834876,0.0001323892,0.00062949274,0.00028147426],"domain_scores_gemma":[0.99813455,0.0005754796,0.00049768295,0.0003742789,0.0003250906,0.00009290433],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055117346,0.00019053223,0.0004640794,0.00017917957,0.00012390669,0.000045711484,0.00053116767,0.00011466771,0.00040424516],"category_scores_gemma":[0.0005050249,0.00011333169,0.000273889,0.00063832523,0.000106130574,0.00018705998,0.00010125213,0.00035783337,0.000018066923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000106439744,0.00006783716,0.0010529042,0.000070555834,0.00022715708,0.00002898741,0.0010243166,0.000027402666,0.0011806525,0.9719167,0.023989905,0.0003071672],"study_design_scores_gemma":[0.0006103968,0.00031467152,0.012054001,0.0000745979,0.0001139927,0.00007851389,0.00021664394,0.00040725493,0.0012335437,0.9825946,0.0021587538,0.00014303338],"about_ca_topic_score_codex":0.0000141564415,"about_ca_topic_score_gemma":0.0000028639827,"teacher_disagreement_score":0.021831151,"about_ca_system_score_codex":0.000046014284,"about_ca_system_score_gemma":0.000117402684,"threshold_uncertainty_score":0.46215323},"labels":[],"label_agreement":null},{"id":"W4387655030","doi":"10.1112/jlms.12817","title":"ABHY Associahedra and Newton polytopes of F$F$‐polynomials for cluster algebras of simply laced finite type","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Institut des Sciences Mathématiques, Université du Québec à Montréal; Canada Research Chairs","keywords":"Polytope; Cluster algebra; Mathematics; Type (biology); Connection (principal bundle); h-vector; Combinatorics; Pure mathematics; Simplicial complex; Geometry; Physics","score_opus":0.0377842574434886,"score_gpt":0.313998631263518,"score_spread":0.2762143738200294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387655030","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9935791,0.00010464644,0.0020800058,0.0032725865,0.0004393592,0.00041064672,0.000015327207,0.00001571958,0.000082626466],"genre_scores_gemma":[0.9905974,0.00009020877,0.008024775,0.00024204697,0.00024915967,0.000004434231,6.8528914e-7,0.000041746924,0.0007495324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998136,0.00009801389,0.0009366889,0.000113898976,0.00047463438,0.00024075329],"domain_scores_gemma":[0.99519485,0.0030789704,0.0010841232,0.00026429188,0.00029601614,0.000081720835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013039632,0.0001720485,0.00075327186,0.000037788246,0.00009144861,0.000025785295,0.00037715788,0.00019221437,0.000043910914],"category_scores_gemma":[0.0020842112,0.00010390089,0.0006747037,0.00027893423,0.00014654399,0.00009011733,0.00018195795,0.00022239615,0.0000014790312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00067741814,0.00046264226,0.0015632785,0.003170092,0.0016622872,0.0000015569167,0.009329973,0.00019788442,0.013172132,0.85814756,0.11085949,0.0007556848],"study_design_scores_gemma":[0.0015225204,0.00023214018,0.0004582211,0.00021448798,0.0002610117,0.000010992255,0.00040208618,0.0013993103,0.0057175155,0.9893286,0.00033625873,0.00011682065],"about_ca_topic_score_codex":0.000002588681,"about_ca_topic_score_gemma":7.353665e-7,"teacher_disagreement_score":0.13118108,"about_ca_system_score_codex":0.000046702127,"about_ca_system_score_gemma":0.00008980404,"threshold_uncertainty_score":0.42369553},"labels":[],"label_agreement":null},{"id":"W4387708423","doi":"10.1007/s00023-023-01374-2","title":"Airy Ideals, Transvections, and $${\\mathcal {W}}(\\mathfrak {sp}_{2N})$$-Algebras","year":2023,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Airy function; Uniqueness; Ideal (ethics); Weyl algebra; Algebra over a field; Automorphism; Zero (linguistics); Partition (number theory); Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.04391895270152323,"score_gpt":0.31130545341875704,"score_spread":0.2673865007172338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387708423","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9923444,0.00084810535,0.0004773397,0.0019623325,0.00088033197,0.0003707244,0.000025975518,0.0007800996,0.0023106993],"genre_scores_gemma":[0.9965294,0.0004683689,0.00059988914,0.0003449487,0.0004935095,0.000057156463,0.00002340045,0.0000843598,0.0013989845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99782866,0.00011508328,0.0004961777,0.0005084301,0.00045499322,0.00059663574],"domain_scores_gemma":[0.9985976,0.00044603815,0.00011767409,0.0005037254,0.0000972304,0.00023770244],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004190448,0.00035142712,0.00047367482,0.00022346135,0.00037549864,0.000101759455,0.00027989483,0.0002464217,0.00012580096],"category_scores_gemma":[0.00019794416,0.000320511,0.00021019642,0.0005384591,0.00014530023,0.00021245888,0.00013852454,0.0003373081,0.00016986561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004795221,0.00006319776,0.0008591597,0.00019863211,0.00013106031,0.000059619804,0.0017505392,0.000006684009,0.00022209427,0.96039605,0.032322552,0.003942473],"study_design_scores_gemma":[0.0006880911,0.00011554676,0.007136319,0.0000674245,0.00007341574,0.00008668986,0.00054239517,0.00041502103,0.0002934864,0.9787469,0.011424585,0.00041014925],"about_ca_topic_score_codex":0.00007813557,"about_ca_topic_score_gemma":0.00004641772,"teacher_disagreement_score":0.020897968,"about_ca_system_score_codex":0.000037550555,"about_ca_system_score_gemma":0.00008086263,"threshold_uncertainty_score":0.9999247},"labels":[],"label_agreement":null},{"id":"W4387723752","doi":"10.48550/arxiv.2310.09591","title":"Idempotents in the group algebra of the infinite dihedral group","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Defence Academy","keywords":"Dihedral group; Indecomposable module; Algebraically closed field; Mathematics; Group (periodic table); Conjugacy class; Group algebra; Pure mathematics; Field (mathematics); Idempotence; Algebra over a field; Combinatorics; Physics","score_opus":0.135208032519913,"score_gpt":0.22443039304398762,"score_spread":0.08922236052407462,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387723752","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99534595,0.000025269885,0.0014689765,0.0001306047,0.0014987474,0.0006270034,0.000022266939,0.00007429705,0.0008068732],"genre_scores_gemma":[0.99917156,0.00005909198,0.000054852037,0.000090810354,0.00012188315,0.0000034263142,0.000010233894,0.00004062937,0.00044749913],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998096,0.00037958875,0.00038343781,0.00057140226,0.00023166377,0.00033789032],"domain_scores_gemma":[0.99746966,0.0005872076,0.00044542522,0.0013812414,0.00006362701,0.000052861567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005251698,0.00033293336,0.00045402648,0.00015383193,0.00013431448,0.000040610204,0.0020162368,0.00037899736,0.00002615778],"category_scores_gemma":[0.00019447433,0.00023028084,0.00041454425,0.00070403784,0.00019441836,0.00009409183,0.0016990417,0.00093780406,0.000011873319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039209488,0.00008714946,0.007489792,0.00013343892,0.000091943344,0.000044518416,0.0006769208,0.0021973911,0.0000074592303,0.98890775,0.00029423748,0.000030210638],"study_design_scores_gemma":[0.00056079426,0.00003264136,0.017448395,0.00017415608,0.000132619,0.0000018390701,0.00043024376,0.0025947527,0.000008889775,0.9782932,0.000082842336,0.00023961581],"about_ca_topic_score_codex":0.000513654,"about_ca_topic_score_gemma":0.00026569303,"teacher_disagreement_score":0.010614519,"about_ca_system_score_codex":0.000110258945,"about_ca_system_score_gemma":0.00006518005,"threshold_uncertainty_score":0.939058},"labels":[],"label_agreement":null},{"id":"W4387766515","doi":"10.1112/jlms.12816","title":"<i>G</i>‐crossed braided zesting","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Centre de Recherches Mathématiques; Simons Foundation; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics; Invertible matrix; Pure mathematics; Grading (engineering); Fusion; Homotopy; Algebra over a field; Linguistics; Engineering","score_opus":0.045499782785751314,"score_gpt":0.31288305770303454,"score_spread":0.2673832749172832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387766515","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99126893,0.000048800703,0.003560418,0.002924526,0.0010291592,0.00020328855,0.0000015933228,0.000094116804,0.00086913945],"genre_scores_gemma":[0.98612976,0.000020074753,0.011462933,0.0004447953,0.0006497565,0.000004156569,2.2017961e-7,0.000048741473,0.0012395695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793655,0.00009031523,0.0007463055,0.00012103791,0.00076874666,0.00033703822],"domain_scores_gemma":[0.99740344,0.0013144453,0.0006200538,0.00036969496,0.00017511613,0.000117226526],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013096533,0.00017772379,0.00045001286,0.000025047355,0.00025148326,0.00008528927,0.00066432316,0.00013928667,0.000117322816],"category_scores_gemma":[0.0018227269,0.00009946747,0.00090475765,0.000506221,0.00012349522,0.00012242315,0.00023041868,0.0004959767,0.000029631134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003539851,0.00015568554,0.00031789398,0.00042220467,0.00031367232,0.000015167052,0.0035827726,0.00010268859,0.0031763846,0.8921795,0.09908611,0.000612551],"study_design_scores_gemma":[0.00068365876,0.00003876145,0.00023707999,0.00016996941,0.00008427599,0.0000946149,0.0003942274,0.0012008409,0.0012993437,0.99516547,0.00051222014,0.00011955703],"about_ca_topic_score_codex":8.508592e-7,"about_ca_topic_score_gemma":1.7385236e-7,"teacher_disagreement_score":0.102985986,"about_ca_system_score_codex":0.00007120111,"about_ca_system_score_gemma":0.00008050413,"threshold_uncertainty_score":0.40561658},"labels":[],"label_agreement":null},{"id":"W4388312826","doi":"10.1016/j.jalgebra.2023.10.019","title":"Morphisms and extensions between bricks over preprojective algebras of type A","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs; Canada Research Chairs","keywords":"Morphism; Bijection; Mathematics; Type (biology); Extension (predicate logic); Pure mathematics; Algebra over a field; Discrete mathematics; Computer science; Programming language","score_opus":0.054086360596838974,"score_gpt":0.3322217096173448,"score_spread":0.27813534902050585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388312826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9985017,0.0001895323,0.00019187151,0.00016957095,0.00052658556,0.00013505355,0.0000046373834,0.000027352708,0.0002537015],"genre_scores_gemma":[0.99840295,0.0000746578,0.0009746355,0.000034419216,0.00033753336,0.0000011800164,8.90232e-7,0.00002796802,0.00014574887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857855,0.000067164205,0.0005771413,0.00015516131,0.00042179917,0.00020017024],"domain_scores_gemma":[0.9982025,0.0005564184,0.0005472525,0.0002372398,0.00033877091,0.00011782595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046517796,0.00014957601,0.00049749116,0.00023433783,0.00006428753,0.000021398257,0.00019307944,0.00012207784,0.0000748986],"category_scores_gemma":[0.0006816933,0.000115578834,0.00014777754,0.0004848412,0.00008159066,0.00015678722,0.00013345182,0.00026534675,0.0000048805277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000521148,0.00025678918,0.039862275,0.00030473483,0.0016900254,0.00019661589,0.008216443,0.000035789646,0.0056680725,0.9019768,0.033131767,0.008139487],"study_design_scores_gemma":[0.00073347805,0.0003651821,0.05533386,0.00010363953,0.00016452918,0.000062512096,0.00024506176,0.000046714656,0.0011059223,0.9415334,0.00017745054,0.00012829258],"about_ca_topic_score_codex":0.000015922378,"about_ca_topic_score_gemma":0.0000011134156,"teacher_disagreement_score":0.039556507,"about_ca_system_score_codex":0.000029659835,"about_ca_system_score_gemma":0.000110675566,"threshold_uncertainty_score":0.4713168},"labels":[],"label_agreement":null},{"id":"W4388535314","doi":"10.1007/s11005-023-01736-1","title":"Anyonic quantum symmetries of finite spaces","year":2023,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"Science and Engineering Research Board; Indian Institute of Science Education and Research Kolkata; Fields Institute for Research in Mathematical Sciences; Indian Statistical Institute; York University; National Institute of Science Education and Research; Univerzita Karlova v Praze","keywords":"Homogeneous space; Pure mathematics; Mathematics; Permutation (music); Permutation group; Quantum; Simple (philosophy); Generalization; Space (punctuation); Quantum group; Group (periodic table); Fusion rules; Algebra over a field; Discrete mathematics; Quantum mechanics; Physics; Computer science; Image (mathematics); Mathematical analysis","score_opus":0.04390425829670165,"score_gpt":0.3021556155494862,"score_spread":0.2582513572527846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388535314","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9822839,0.000016667176,0.015050662,0.0012674,0.00027125192,0.00023074838,0.000004987675,0.00013789105,0.00073652033],"genre_scores_gemma":[0.9972164,0.000007704867,0.0022700285,0.00025621074,0.00013946093,0.000020586871,0.000002792598,0.000036568093,0.000050269842],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985596,0.000055811153,0.00043896958,0.00020826532,0.00040259343,0.00033477726],"domain_scores_gemma":[0.9976077,0.0017490663,0.000149183,0.0004079846,0.00004016685,0.0000458865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002823956,0.00018629686,0.0004752007,0.000110152716,0.000038980386,0.00002762515,0.00028152682,0.00008000825,0.000038956],"category_scores_gemma":[0.00072124996,0.0001579085,0.00013447298,0.0008292225,0.00014863948,0.00009513044,0.00012369284,0.00020803357,0.00006341959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009168141,0.00007457495,0.00012649731,0.000399089,0.00002831864,0.000008308158,0.0008482033,0.00015672017,0.00053538755,0.99604684,0.0015749395,0.00019197926],"study_design_scores_gemma":[0.00030651072,0.000029426183,0.00010620186,0.00014530998,0.000021796048,8.6512586e-7,0.0001810835,0.0061270553,0.0015218129,0.991368,0.000027493123,0.00016443084],"about_ca_topic_score_codex":0.0000044028734,"about_ca_topic_score_gemma":4.900091e-7,"teacher_disagreement_score":0.014932506,"about_ca_system_score_codex":0.000028482054,"about_ca_system_score_gemma":0.00001700252,"threshold_uncertainty_score":0.64393216},"labels":[],"label_agreement":null},{"id":"W4388563971","doi":"10.1016/j.jpaa.2023.107565","title":"Tensor category <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">KL</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:math> via minimal affine W-algebras at the non-admissible level <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.svg\"><mml:mi>k</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">−</mml:mo><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>","year":2023,"lang":"lv","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Vertex operator algebra; Indecomposable module; Tensor product; Vertex (graph theory); Tensor (intrinsic definition); Conformal map; Algebra over a field; Tensor decomposition; Pure mathematics; Combinatorics; Current algebra; Geometry","score_opus":0.016728538747284256,"score_gpt":0.23726580024720642,"score_spread":0.22053726149992217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388563971","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46164158,0.0072198124,0.002411102,0.0030395812,0.011238106,0.00030715237,0.0038958373,0.0015220518,0.5087248],"genre_scores_gemma":[0.93881667,0.008013858,0.0075125108,0.0070273173,0.014693051,0.00834736,0.008053439,0.006303613,0.0012321606],"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9518786,0.0028094277,0.011079308,0.008951808,0.012701977,0.012578872],"domain_scores_gemma":[0.95889765,0.008739264,0.0133680515,0.0097520705,0.0015385911,0.007704355],"candidate_categories":["metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.010598045,0.005728059,0.0022825554,0.0041493922,0.008143618,0.009453205,0.012588037,0.014332834,0.7521698],"category_scores_gemma":[0.007745278,0.011248199,0.010921126,0.0074845287,0.0085650245,0.0072815455,0.012484751,0.011166001,0.008983152],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.010043604,0.001798279,0.000034313478,0.005160561,0.009586961,0.008682435,0.005425634,0.0039564515,0.005056929,0.37280455,0.5714733,0.0059769955],"study_design_scores_gemma":[0.010491227,0.007506895,0.00022237761,0.006338556,0.01165531,0.0153012965,0.008000801,0.018931238,0.8937202,0.0038226498,0.014173488,0.00983596],"about_ca_topic_score_codex":0.0076874276,"about_ca_topic_score_gemma":0.00837762,"teacher_disagreement_score":0.8886633,"about_ca_system_score_codex":0.00013988581,"about_ca_system_score_gemma":0.009567388,"threshold_uncertainty_score":0.9989843},"labels":[],"label_agreement":null},{"id":"W4388750027","doi":"10.1088/1751-8121/ad0dc7","title":"All linear symmetries of the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> tensor multiplicities","year":2023,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Agencia Estatal de Investigación; Junta de Andalucía; Ministerio de Ciencia e Innovación","keywords":"Homogeneous space; Tensor (intrinsic definition); Pure mathematics; Mathematics; Polynomial; Piecewise linear function; Group (periodic table); Multiplicity (mathematics); Piecewise; Algebra over a field; Mathematical physics; Physics; Mathematical analysis; Geometry; Quantum mechanics","score_opus":0.02125408989277394,"score_gpt":0.254258805364369,"score_spread":0.23300471547159507,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388750027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9631226,0.00033982488,0.002303176,0.0010045125,0.0013388034,0.000075514916,0.00016283517,0.00015185084,0.0315009],"genre_scores_gemma":[0.9926872,0.000362604,0.0034266335,0.000741473,0.0020021237,0.00021253731,0.00006453227,0.0004008037,0.00010204573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9929653,0.00034559736,0.0019295169,0.00087082566,0.002411407,0.0014773592],"domain_scores_gemma":[0.99256355,0.0034919747,0.0016390845,0.0012134702,0.000329364,0.00076253735],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019476822,0.0007220586,0.0006058205,0.00026782195,0.000882024,0.00069204374,0.0015897366,0.0012570731,0.0067684706],"category_scores_gemma":[0.0032240055,0.0008697814,0.0017449548,0.0008161892,0.0024192485,0.0006395695,0.0014768019,0.0016401816,0.00040253834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007408351,0.00043468067,0.0000032840546,0.0013395422,0.001281864,0.00027936054,0.0025443768,0.00018058348,0.0009642224,0.9717093,0.019814668,0.0007072775],"study_design_scores_gemma":[0.0015004948,0.0011292436,0.000012261125,0.0011785115,0.001314399,0.00090742245,0.0021623182,0.04587346,0.34277564,0.6019019,0.00044332136,0.0008010278],"about_ca_topic_score_codex":0.00008287831,"about_ca_topic_score_gemma":0.000019253488,"teacher_disagreement_score":0.3698074,"about_ca_system_score_codex":0.000018454377,"about_ca_system_score_gemma":0.0005845305,"threshold_uncertainty_score":0.9993753},"labels":[],"label_agreement":null},{"id":"W4388843262","doi":"10.48550/arxiv.2311.10233","title":"Weight representations of affine Kac-Moody algebras and small quantum groups","year":2023,"lang":"en","type":"preprint","venue":"Institutional Repositories DataBase (IRDB)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Mathematics; Affine transformation; Vertex (graph theory); Abelian group; Pure mathematics; Quantum affine algebra; Vertex operator algebra; Simple (philosophy); Quantum; Combinatorics; Algebra over a field; Current algebra; Physics; Jordan algebra; Algebra representation; Cellular algebra; Quantum mechanics","score_opus":0.06262777686664615,"score_gpt":0.31497007603293264,"score_spread":0.2523422991662865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388843262","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9567709,0.0011792071,0.015555499,0.0006746469,0.019433487,0.0012734899,0.0024463271,0.0005258775,0.0021405935],"genre_scores_gemma":[0.9841499,0.0003803941,0.009475753,0.0000327673,0.002853246,0.00023834362,0.0020254157,0.00009643938,0.000747793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99632674,0.00013736721,0.0011846309,0.0010308325,0.0009275682,0.00039285095],"domain_scores_gemma":[0.99615204,0.0008753184,0.0007178256,0.0015391326,0.0005032377,0.00021246089],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004146034,0.00055775803,0.0008159995,0.00025774684,0.00047287857,0.00016888657,0.00064217235,0.00043191222,0.000046559282],"category_scores_gemma":[0.001717507,0.00053102704,0.0002505282,0.00034195287,0.00058606843,0.00030321785,0.002132095,0.0007855324,0.00001031918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000106302046,0.0001528875,0.0012420303,0.0008463967,0.0003748437,0.00012623414,0.0003603693,0.00011026454,0.0006267926,0.9928709,0.0031117804,0.000071146926],"study_design_scores_gemma":[0.0007502055,0.00007213153,0.0020355452,0.00088768156,0.0003709314,0.00011968551,0.00015404832,0.00033840464,0.00337128,0.9889607,0.002323557,0.0006158306],"about_ca_topic_score_codex":0.0014488328,"about_ca_topic_score_gemma":0.00021279296,"teacher_disagreement_score":0.027378976,"about_ca_system_score_codex":0.00017530406,"about_ca_system_score_gemma":0.0007452195,"threshold_uncertainty_score":0.99971414},"labels":[],"label_agreement":null},{"id":"W4388944357","doi":"10.5802/art.2","title":"The nil-Brauer category","year":2023,"lang":"en","type":"article","venue":"Annals of representation theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; National Science Foundation","keywords":"Categorification; Mathematics; Morphism; Brauer group; Rank (graph theory); Pure mathematics; Group (periodic table); Basis (linear algebra); Quantum; Algebra over a field; Combinatorics; Quantum mechanics; Physics; Geometry","score_opus":0.1421313055042065,"score_gpt":0.4116014922460881,"score_spread":0.2694701867418816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388944357","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9772727,0.00035459807,0.00090052973,0.002875729,0.0010925493,0.0003226267,0.0000044405515,0.00020977092,0.016967043],"genre_scores_gemma":[0.9945945,0.00018603385,0.00003248177,0.00012119609,0.00012164363,0.000023565877,0.0000046095743,0.000017872844,0.004898073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998924,0.00020573071,0.0002626364,0.00014263393,0.0002790353,0.0001859293],"domain_scores_gemma":[0.9974976,0.0017281272,0.00016039837,0.00042676533,0.00014903718,0.00003804922],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008992184,0.00008400051,0.00013174415,0.000058479633,0.0001608682,0.000026012736,0.00023827479,0.00005076507,0.00007409644],"category_scores_gemma":[0.00084399554,0.000056366363,0.000112880494,0.00030087619,0.000114289775,0.00008444135,0.00007723788,0.00007711524,0.000046117944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052261825,0.000009440511,0.00009062084,0.000012132741,0.000048256712,0.0000019402423,0.00073946913,0.00001942543,0.00010963069,0.9679196,0.025663292,0.0053339293],"study_design_scores_gemma":[0.00012717837,0.000020506679,0.0008065089,0.0000067514125,0.000009643014,0.0000013866547,0.0013901517,0.000044648037,0.0104185585,0.98594546,0.0011661944,0.00006299314],"about_ca_topic_score_codex":0.000016465725,"about_ca_topic_score_gemma":0.0000017441039,"teacher_disagreement_score":0.024497097,"about_ca_system_score_codex":0.0000033831523,"about_ca_system_score_gemma":0.000025112146,"threshold_uncertainty_score":0.22985536},"labels":[],"label_agreement":null},{"id":"W4389062700","doi":"10.21468/scipost.report.6640","title":"Report on scipost_202212_00041v1","year":2023,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Agence Nationale de la Recherche; American Heart Association","keywords":"Computer science","score_opus":0.08926724420805608,"score_gpt":0.37930512122232535,"score_spread":0.29003787701426925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389062700","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00020171578,0.008777797,0.00013752317,0.12965332,0.09273338,0.0033083204,0.00026516555,0.0028279284,0.76209486],"genre_scores_gemma":[0.00006481471,0.0012779468,0.0002747074,0.0028594816,0.0016875017,0.00012381127,0.00039702954,0.00018118645,0.99313354],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9969273,0.000059814854,0.00077043276,0.00071576034,0.0011397225,0.00038692492],"domain_scores_gemma":[0.99720436,0.00049863744,0.0004277379,0.0015207994,0.00022310123,0.00012538738],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00062903663,0.00047908977,0.0010136999,0.000132961,0.000102414146,0.000046605157,0.0005535836,0.00042058196,0.0035640895],"category_scores_gemma":[0.0017361679,0.00036216542,0.00044644874,0.00033479807,0.000036681904,0.000026185982,0.0002777163,0.00068679056,0.0008717058],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025361257,0.00001683388,2.5417123e-7,0.0013804381,0.00007439981,0.00020807044,0.0000047031244,1.8819067e-7,4.7119343e-8,0.2903542,0.7074456,0.00051275344],"study_design_scores_gemma":[0.000070405906,0.000036202353,0.0000011317804,0.0016684571,0.00011950147,0.000044596556,0.0000018180385,0.0000013521518,0.0000039256797,0.4674197,0.5303955,0.00023735894],"about_ca_topic_score_codex":0.00009352097,"about_ca_topic_score_gemma":0.000032112424,"teacher_disagreement_score":0.23103867,"about_ca_system_score_codex":0.000120152945,"about_ca_system_score_gemma":0.00025664177,"threshold_uncertainty_score":0.99990624},"labels":[],"label_agreement":null},{"id":"W4389115365","doi":"10.48550/arxiv.2311.14863","title":"Geometric interactions between bricks and $τ$-rigidity","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Canadian Defence Academy","keywords":"Indecomposable module; Brick; Pure mathematics; Rigidity (electromagnetism); Representation (politics); Mathematics; Algebra over a field; Physics; Engineering; Quantum mechanics","score_opus":0.2432284643486786,"score_gpt":0.25506082994648266,"score_spread":0.011832365597804068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389115365","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9698475,0.000026155916,0.026935445,0.000059460905,0.0014589501,0.00027743858,0.00005120045,0.0003106531,0.0010331715],"genre_scores_gemma":[0.9955716,0.00011319944,0.0001670109,0.000011852496,0.00033702585,0.00000120105,0.000022812335,0.00004415244,0.0037311607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858266,0.00008204505,0.00022624695,0.0007281948,0.00009636114,0.00028447944],"domain_scores_gemma":[0.99809283,0.0007103212,0.000253847,0.00066479767,0.0001118732,0.00016631307],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017834046,0.00029878982,0.000459078,0.00046327597,0.00017937683,0.000073967705,0.00045594285,0.000316397,0.00006439562],"category_scores_gemma":[0.00023369373,0.00033230227,0.0001953144,0.000688656,0.00009090686,0.000120148514,0.0013033737,0.00078301353,0.000047340254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030801308,0.00007102928,0.023307253,0.000313568,0.0005480976,0.00012109288,0.00024848492,0.001668991,0.0000022614038,0.9696381,0.0034808812,0.0005694203],"study_design_scores_gemma":[0.00030699582,0.000024744102,0.0073512457,0.00006933929,0.000295968,0.0000023080345,0.000091766175,0.0019175048,0.000017350854,0.98916095,0.00042129253,0.00034052928],"about_ca_topic_score_codex":0.00035336523,"about_ca_topic_score_gemma":0.000046705005,"teacher_disagreement_score":0.026768435,"about_ca_system_score_codex":0.00017486699,"about_ca_system_score_gemma":0.00007671104,"threshold_uncertainty_score":0.9999129},"labels":[],"label_agreement":null},{"id":"W4389155988","doi":"10.1112/topo.70027","title":"The Dehn twist action for quantum representations of mapping class groups","year":2025,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministry of Colleges and Universities; Agence Nationale de la Recherche; Government of Canada","keywords":"Twist; Action (physics); Class (philosophy); Mapping class group; Mathematics; Quantum; Pure mathematics; Combinatorics; Group (periodic table); Algebra over a field; Physics; Computer science; Artificial intelligence; Geometry; Quantum mechanics; Surface (topology)","score_opus":0.062047757398285816,"score_gpt":0.38581559683156247,"score_spread":0.32376783943327664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389155988","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8974977,0.0003345215,0.08765622,0.0077273184,0.0055406652,0.00020274524,0.0000019262975,0.000008085896,0.001030804],"genre_scores_gemma":[0.9979537,0.00004524101,0.0013594028,0.000058731523,0.0002366421,0.000004560794,2.429753e-7,0.0000047254075,0.00033674444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992586,0.00006158387,0.00043682658,0.000054475695,0.00008685309,0.000101676895],"domain_scores_gemma":[0.99810654,0.0010719664,0.00045407546,0.00013919573,0.00021021033,0.00001799497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031657814,0.000052104766,0.00019287576,0.00007362709,0.00013116193,0.000011947937,0.00017009868,0.000068018424,0.000009231716],"category_scores_gemma":[0.0007097831,0.000034614422,0.00013723818,0.000083593586,0.00007909684,0.00004488235,0.00002862326,0.00012694184,1.5618016e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000083328734,0.000020702639,0.00017709218,0.00003060623,0.00009911941,6.8715445e-7,0.00020657443,0.000012430163,0.0005262571,0.9927149,0.00527674,0.00085158675],"study_design_scores_gemma":[0.0004606951,0.00009086057,0.0006159308,0.000021010492,0.000052940883,0.000023571652,0.0016105114,0.00023214973,0.00090627634,0.9913953,0.0045628203,0.000027940958],"about_ca_topic_score_codex":0.000013147039,"about_ca_topic_score_gemma":0.000021425712,"teacher_disagreement_score":0.100456,"about_ca_system_score_codex":0.000038124173,"about_ca_system_score_gemma":0.00007285188,"threshold_uncertainty_score":0.14115351},"labels":[],"label_agreement":null},{"id":"W4389206851","doi":"10.22215/etd/2023-15746","title":"Central Extensions of Artin-Schelter Regular Algebras","year":2023,"lang":"en","type":"dissertation","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Quadratic equation; Dimension (graph theory); Degree (music); Mathematics; Pure mathematics; Extension (predicate logic); Algebra over a field; Computer science; Physics; Geometry; Programming language","score_opus":0.03720985520562411,"score_gpt":0.31727574332657105,"score_spread":0.28006588812094696,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389206851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98594415,0.000100517034,0.000110474844,0.000056502395,0.0040000672,0.00037935082,0.000009651559,0.00022023864,0.009179041],"genre_scores_gemma":[0.9136844,0.00004745679,0.001920168,0.000038124195,0.00045422878,0.0000382679,0.00033650553,0.00017810242,0.08330273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99826294,0.00003690532,0.0005757831,0.0003293522,0.00044814215,0.00034687773],"domain_scores_gemma":[0.99867666,0.00018932992,0.0003252036,0.0005483215,0.0001609517,0.00009953635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010903117,0.0002910949,0.00055199064,0.00011671668,0.00006533732,0.000020353164,0.00025285716,0.00040812782,0.00079991267],"category_scores_gemma":[0.00024263428,0.00024129561,0.00029882876,0.00016343022,0.000025920257,0.00004085396,0.000042036958,0.0002634533,0.000038761907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043690125,0.000045533532,0.000023044731,0.00028468776,0.00013756524,0.000007801142,0.00087942067,0.0000021309947,0.0005414656,0.9797918,0.017690532,0.0005522816],"study_design_scores_gemma":[0.0002518863,0.000037356484,0.0017953216,0.0001708151,0.0001635137,0.0000016742428,0.0009766296,0.00003096001,0.008398703,0.9876013,0.0003035331,0.0002683042],"about_ca_topic_score_codex":0.000058666723,"about_ca_topic_score_gemma":0.00009855763,"teacher_disagreement_score":0.07412369,"about_ca_system_score_codex":0.000027474423,"about_ca_system_score_gemma":0.00011069812,"threshold_uncertainty_score":0.98397493},"labels":[],"label_agreement":null},{"id":"W4389217305","doi":"10.48550/arxiv.2311.17247","title":"Notes on affine W-algebras","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Instituto Serrapilheira; Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Mathematics; Affine transformation; Pure mathematics; Affine Lie algebra; Representation theory; Homogeneous space; Algebra over a field; Current algebra; Geometry","score_opus":0.1827853291840236,"score_gpt":0.23653068922812717,"score_spread":0.053745360044103574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389217305","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98431736,0.000017314906,0.008558196,0.00023670649,0.0027598555,0.0004384498,0.00003420198,0.0007179913,0.002919944],"genre_scores_gemma":[0.9938528,0.00006332529,0.00021119113,0.00006917244,0.00041952403,0.0000017703386,0.000022255123,0.00008805345,0.0052719335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99819314,0.00009119182,0.00024048393,0.00093835994,0.00014655173,0.00039027553],"domain_scores_gemma":[0.99760276,0.0007110104,0.00025457886,0.0011735599,0.00010755583,0.00015054435],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001719858,0.0004532808,0.00053071126,0.00023250456,0.00014605487,0.000058813628,0.00082307943,0.0005051222,0.00023538827],"category_scores_gemma":[0.0003405799,0.00045856653,0.00035087974,0.0003490054,0.00008623644,0.000060945596,0.0010214541,0.0007758527,0.00028869978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000669959,0.000069034475,0.00022944536,0.000111797766,0.0001525062,0.00016370931,0.00010021312,0.015023635,0.0000048659767,0.9824481,0.0015427709,0.00008694374],"study_design_scores_gemma":[0.00049475464,0.00007118475,0.00027124782,0.00014967022,0.00015407795,0.0000011873605,0.000050671326,0.0047211717,0.00014307754,0.99326885,0.00020700914,0.00046712003],"about_ca_topic_score_codex":0.00014489236,"about_ca_topic_score_gemma":0.000057454137,"teacher_disagreement_score":0.010820745,"about_ca_system_score_codex":0.00019742297,"about_ca_system_score_gemma":0.00011122241,"threshold_uncertainty_score":0.9997866},"labels":[],"label_agreement":null},{"id":"W4389569041","doi":"10.4153/s0008439523000966","title":"Irreducible modules of modular Lie superalgebras and super version of the first Kac–Weisfeiler conjecture","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Science and Technology Commission of Shanghai Municipality; National Natural Science Foundation of China","keywords":"Mathematics; Lie superalgebra; Conjecture; Pure mathematics; Algebraically closed field; Lie algebra; Generalization; Field (mathematics); Algebra over a field; Affine Lie algebra; Current algebra; Mathematical analysis","score_opus":0.015192405202780224,"score_gpt":0.22471383584944535,"score_spread":0.20952143064666512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389569041","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9934024,0.00009240271,0.000033504966,0.0045111226,0.00020666773,0.00034996402,0.000045592456,0.000038096365,0.001320209],"genre_scores_gemma":[0.9986477,0.0000137225925,0.00036085022,0.00015885447,0.00005636315,0.000015060934,0.000004187929,0.000037488757,0.00070578005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986229,0.00004661811,0.00039432474,0.0002561817,0.00031773536,0.00036222552],"domain_scores_gemma":[0.9986483,0.00038476457,0.000086177366,0.0005688176,0.00008323621,0.00022870944],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00025729643,0.00020396496,0.00042649257,0.0001249805,0.00015025437,0.000022341412,0.00034918947,0.00019755398,0.0027797357],"category_scores_gemma":[0.00056972535,0.00014303766,0.00014452914,0.00029171395,0.00025521952,0.00002620021,0.00012879386,0.0001806581,0.00015843759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009281657,0.000027861453,0.00023267759,0.00051014766,0.00005459339,0.000005660077,0.00091554166,0.000018527347,0.00018306535,0.96583915,0.032114845,0.00008864619],"study_design_scores_gemma":[0.00042949378,0.000043088952,0.001453322,0.00022351656,0.00005816369,0.000012800562,0.0002750314,0.00029479974,0.0019351613,0.9874048,0.0076871905,0.00018260175],"about_ca_topic_score_codex":0.0006762049,"about_ca_topic_score_gemma":0.0003099519,"teacher_disagreement_score":0.024427656,"about_ca_system_score_codex":0.000051972052,"about_ca_system_score_gemma":0.000109864464,"threshold_uncertainty_score":0.9981319},"labels":[],"label_agreement":null},{"id":"W4389885540","doi":"10.1007/s00031-023-09834-z","title":"An Example of Homomorphisms from Guay’s Affine Yangians to Non-rectangular W-algebras","year":2023,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Yangian; Homomorphism; Affine transformation; Pure mathematics; Algebra over a field; Nilpotent; Lie algebra; Affine Lie algebra; Current algebra","score_opus":0.042141602785843536,"score_gpt":0.2884688606800436,"score_spread":0.2463272578942001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389885540","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9256615,0.0000100695,0.07207334,0.00018935234,0.00037014976,0.00048444993,0.000067666595,0.00026450632,0.0008789293],"genre_scores_gemma":[0.9964381,0.0000069462994,0.003016874,0.000088455454,0.00013361656,0.000045155477,0.00018212003,0.000041611922,0.00004716106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853253,0.00004542495,0.0005007212,0.00023293632,0.0004050021,0.00028340102],"domain_scores_gemma":[0.9990699,0.00013102715,0.000096873344,0.00047698064,0.00008635965,0.00013883025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002628856,0.00019704369,0.00033995506,0.0001935514,0.00009712201,0.00003414583,0.0003151936,0.00012848794,0.00038287463],"category_scores_gemma":[0.000023342542,0.00018487859,0.000116148876,0.0005918319,0.00002876357,0.00032945906,0.000019924939,0.00010957642,0.000111000976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011014146,0.00013094445,0.000060969738,0.00012364861,0.000092111375,0.0000050492868,0.03557101,0.000877033,0.0098776985,0.9457571,0.0014308586,0.005963419],"study_design_scores_gemma":[0.0010021443,0.00023165176,0.001943912,0.00004689737,0.0000610815,0.0000021645312,0.0012387839,0.0031275672,0.012958027,0.9786173,0.00048198228,0.00028845845],"about_ca_topic_score_codex":0.0006825023,"about_ca_topic_score_gemma":0.000096780044,"teacher_disagreement_score":0.07077652,"about_ca_system_score_codex":0.000038555947,"about_ca_system_score_gemma":0.000027461781,"threshold_uncertainty_score":0.753913},"labels":[],"label_agreement":null},{"id":"W4390277855","doi":"10.1016/j.jalgebra.2023.11.037","title":"U0-free quantum group representations","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Bounded function; Pure mathematics; Quantum group; Type (biology); Lie algebra; Algebra over a field; Universal enveloping algebra; Action (physics); Decomposition; Simple (philosophy); Combinatorics; Mathematical analysis","score_opus":0.045998224665674756,"score_gpt":0.3273401076070517,"score_spread":0.2813418829413769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390277855","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.992943,0.000108133456,0.001586552,0.0017360068,0.0023698583,0.000102603066,0.0000034378565,0.00008029216,0.0010701515],"genre_scores_gemma":[0.9969124,0.000060233375,0.0016944874,0.000086543194,0.00080293056,0.0000031273544,0.0000015098847,0.000030282052,0.000408491],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985468,0.00006359778,0.0005530063,0.000114019385,0.0005045383,0.0002180664],"domain_scores_gemma":[0.99845684,0.00044866794,0.00040619858,0.0004071015,0.00016486374,0.00011634353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004604626,0.0001182775,0.0002806405,0.00019745954,0.00010316742,0.000052218813,0.00048293988,0.000079081066,0.00016763952],"category_scores_gemma":[0.0009721518,0.000093507006,0.00022157784,0.00042265307,0.00003814535,0.00021168415,0.00012555046,0.0002552123,0.00003247736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028837443,0.000038413607,0.00021970822,0.00001930478,0.000084618856,0.00005984465,0.00044002064,0.00001442372,0.00027429278,0.9267765,0.071704574,0.00033941164],"study_design_scores_gemma":[0.000768695,0.00013228477,0.0019515078,0.0000361948,0.000054495726,0.00008782017,0.00039521515,0.00015416542,0.00024319308,0.99499154,0.001083264,0.00010163601],"about_ca_topic_score_codex":0.000007600219,"about_ca_topic_score_gemma":0.000003058089,"teacher_disagreement_score":0.07062131,"about_ca_system_score_codex":0.00003545738,"about_ca_system_score_gemma":0.00005515041,"threshold_uncertainty_score":0.38131052},"labels":[],"label_agreement":null},{"id":"W4390350566","doi":"10.1016/j.jnt.2023.11.007","title":"Collision of orbits for a one-parameter family of Drinfeld modules","year":2023,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Algebraic number; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.06977122888267301,"score_gpt":0.34098217590730556,"score_spread":0.27121094702463255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390350566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9944349,0.000043864977,0.004034583,0.000039674876,0.0005703001,0.00014761074,0.000031769032,0.000010625574,0.00068668404],"genre_scores_gemma":[0.99282706,0.000028086199,0.006608309,0.00002600384,0.0001675764,0.0000045105407,0.0000013287445,0.000024541247,0.00031259758],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987082,0.000080667814,0.0006441084,0.00008026355,0.00034334732,0.00014341983],"domain_scores_gemma":[0.99663097,0.002092264,0.0006740028,0.00019753107,0.00035271517,0.000052519074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079381326,0.00010468294,0.0004594589,0.00009800941,0.000029193401,0.000008736192,0.00023179913,0.0000990595,0.00012061163],"category_scores_gemma":[0.0009861197,0.000079699974,0.00028447952,0.0001732729,0.000055758293,0.00008720793,0.000055285338,0.00012189936,0.0000033341169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00056275114,0.00014325327,0.00015725165,0.00022868178,0.00025171926,0.00000438044,0.00076380745,0.00007521237,0.0026183312,0.9855119,0.008165503,0.0015171933],"study_design_scores_gemma":[0.0008213897,0.00020330974,0.0006922119,0.00022908095,0.00009154405,0.000013426535,0.00030281337,0.000116416544,0.0069888914,0.9901234,0.00033975817,0.000077750185],"about_ca_topic_score_codex":0.000002048547,"about_ca_topic_score_gemma":4.11817e-7,"teacher_disagreement_score":0.007825744,"about_ca_system_score_codex":0.000020385838,"about_ca_system_score_gemma":0.00005438054,"threshold_uncertainty_score":0.32500708},"labels":[],"label_agreement":null},{"id":"W4390437592","doi":"10.48550/arxiv.2312.16785","title":"Whittaker vectors in singular Whittaker modules","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Mitacs","keywords":"Mathematics; Subalgebra; Dimension (graph theory); Corollary; Bounded function; Lie algebra; Pure mathematics; Simple (philosophy); Space (punctuation); Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.15400812651831716,"score_gpt":0.22693551903548434,"score_spread":0.07292739251716718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390437592","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9892297,0.000050713003,0.0063135684,0.00007938271,0.0021704813,0.00045135728,0.000015827356,0.00036922793,0.0013197745],"genre_scores_gemma":[0.99590296,0.000066162705,0.0003224698,0.000031086893,0.00021414031,0.0000028013023,0.000021339622,0.00010393164,0.003335099],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99767965,0.00015508659,0.00037315875,0.0010908656,0.00017033232,0.000530886],"domain_scores_gemma":[0.9980328,0.0002431427,0.00028225238,0.0011660045,0.000121456025,0.00015434081],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00028113314,0.0004970868,0.0006687638,0.00038302297,0.00010829799,0.00007211431,0.0008035266,0.00066670816,0.00012217367],"category_scores_gemma":[0.00020862134,0.0005555079,0.0003285598,0.00060532463,0.00011156816,0.00012388441,0.0010102267,0.0009184827,0.00008143059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006241706,0.00010781741,0.0054061934,0.00022624504,0.0001726854,0.00048782237,0.00051487784,0.03339567,0.000009725363,0.95828867,0.0012549622,0.00007288903],"study_design_scores_gemma":[0.00063398614,0.000025703894,0.0030927246,0.000222226,0.00011938174,0.0000018577344,0.00020822513,0.015523793,0.00004218771,0.979355,0.0002014463,0.0005735072],"about_ca_topic_score_codex":0.00035228435,"about_ca_topic_score_gemma":0.00026356525,"teacher_disagreement_score":0.021066265,"about_ca_system_score_codex":0.00034765486,"about_ca_system_score_gemma":0.0001391466,"threshold_uncertainty_score":0.99968964},"labels":[],"label_agreement":null},{"id":"W4390590186","doi":"10.1016/j.jalgebra.2023.12.023","title":"Weyl algebras for quantum homogeneous spaces","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Northeastern University; Simons Foundation; National Science Foundation","keywords":"Homogeneous; Quantum; Pure mathematics; Mathematics; Algebra over a field; Theoretical physics; Physics; Quantum mechanics; Combinatorics","score_opus":0.03396960388876728,"score_gpt":0.31776913938129403,"score_spread":0.28379953549252673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390590186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97316885,0.005650384,0.01280486,0.0016265805,0.006091026,0.0002587778,0.000009651101,0.00008508557,0.00030480625],"genre_scores_gemma":[0.99252677,0.000109425346,0.0047748913,0.00010302084,0.0019343068,0.0000073751894,9.3302526e-7,0.00006460747,0.00047865658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984146,0.00004044267,0.00063473324,0.00018536104,0.00042317135,0.00030169316],"domain_scores_gemma":[0.9984072,0.00072606915,0.00027828757,0.00022097689,0.00021951702,0.00014797496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004989508,0.00021552121,0.00044427876,0.00019688625,0.000094189236,0.00022135126,0.00035188397,0.00014025762,0.00015288629],"category_scores_gemma":[0.00032474395,0.00015768564,0.0004657015,0.00019521039,0.000048402297,0.00022813301,0.00004694706,0.00029112835,0.000012574087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006321818,0.000045767785,0.000016568189,0.00018979896,0.00027611686,0.000088705136,0.0004983595,0.000008245872,0.00052422704,0.9707774,0.024840357,0.0026712338],"study_design_scores_gemma":[0.00046258827,0.00044468988,0.000018525907,0.00018326785,0.00019463479,0.00046410647,0.00016946484,0.00044332884,0.0022593474,0.9743502,0.020821195,0.0001886142],"about_ca_topic_score_codex":0.000003181721,"about_ca_topic_score_gemma":0.0000018732553,"teacher_disagreement_score":0.019357955,"about_ca_system_score_codex":0.00007331311,"about_ca_system_score_gemma":0.00020496245,"threshold_uncertainty_score":0.64302343},"labels":[],"label_agreement":null},{"id":"W4390590318","doi":"10.1016/j.jpaa.2023.107598","title":"Preservation of Loewy diagrams under exact functors","year":2024,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Functor; Vertex (graph theory); Simple (philosophy); Abelian group; Pure mathematics; Current (fluid); Algebra over a field; Discrete mathematics","score_opus":0.026728334947671375,"score_gpt":0.27304365284479964,"score_spread":0.24631531789712827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390590318","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9924582,0.0010814857,0.0044578686,0.00030909496,0.0005946289,0.000111910165,0.0000018644708,0.000018864306,0.00096607703],"genre_scores_gemma":[0.9987869,0.00007238823,0.000458778,0.000052230174,0.0004949477,0.0000023479067,0.0000010322594,0.000020572415,0.00011075377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989819,0.0000186672,0.00043917532,0.000112450594,0.000319971,0.00012785259],"domain_scores_gemma":[0.99926305,0.00024400292,0.00022654099,0.0001227547,0.000069639726,0.000074035896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027326847,0.00013048046,0.00029939675,0.000090122165,0.000035007273,0.000060705217,0.00013098287,0.00010468403,0.00008432627],"category_scores_gemma":[0.00003609816,0.00008931564,0.00011345506,0.00015605995,0.00003823308,0.00016884606,0.000040761726,0.00023288133,0.0000014232177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042332533,0.000036504647,0.00008035799,0.00017533735,0.0001460354,0.0000046949767,0.0005091496,0.000017774191,0.0015232931,0.9911988,0.0024689988,0.0037967418],"study_design_scores_gemma":[0.0003320562,0.00010741456,0.0006523757,0.00009666457,0.000113550224,0.000021907863,0.0002804457,0.000045000725,0.0024416905,0.99495274,0.00085955573,0.0000965913],"about_ca_topic_score_codex":0.000001508008,"about_ca_topic_score_gemma":0.0000014183868,"teacher_disagreement_score":0.0063287434,"about_ca_system_score_codex":0.000020167281,"about_ca_system_score_gemma":0.000054464,"threshold_uncertainty_score":0.3642186},"labels":[],"label_agreement":null},{"id":"W4390659701","doi":"10.5802/alco.321","title":"Quivers of stylic algebras","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algebra over a field; Pure mathematics; Mathematics","score_opus":0.031181937339787216,"score_gpt":0.30977361333681586,"score_spread":0.27859167599702866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390659701","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9762848,0.0028854257,0.0012528144,0.00036333536,0.0059641474,0.00044279356,0.000012938235,0.00064697355,0.012146769],"genre_scores_gemma":[0.9979244,0.00009031654,0.00031005542,0.0000535214,0.00017293965,0.000023218134,0.0000064252013,0.00008722529,0.0013318964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976291,0.00008526737,0.00062272424,0.0005079651,0.0006851873,0.0004697362],"domain_scores_gemma":[0.9979889,0.0008460417,0.00014540332,0.00069217716,0.00015523902,0.0001722592],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00039090318,0.00035706084,0.0005333263,0.00027417112,0.00010781904,0.0000850768,0.0005516888,0.00023425343,0.0004087923],"category_scores_gemma":[0.00029827878,0.00032511208,0.00031803764,0.0010161577,0.00015095239,0.00024194074,0.00020640247,0.00038996,0.00006180047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012719653,0.00009488808,0.00016708247,0.00030468323,0.0001629362,0.000029330866,0.0005958837,0.0000013314277,0.00013497136,0.99016416,0.006506482,0.0018255519],"study_design_scores_gemma":[0.0004777131,0.00016855448,0.00015938192,0.00012994933,0.00012721594,0.000021567814,0.00015192897,0.00020083015,0.0020715017,0.98963606,0.006511528,0.00034377023],"about_ca_topic_score_codex":0.000042062256,"about_ca_topic_score_gemma":0.0000031548032,"teacher_disagreement_score":0.021639599,"about_ca_system_score_codex":0.00014260114,"about_ca_system_score_gemma":0.00020510699,"threshold_uncertainty_score":0.99992007},"labels":[],"label_agreement":null},{"id":"W4390777853","doi":"10.21468/scipostphys.16.1.009","title":"Modified rational six vertex model on the rectangular lattice","year":2024,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Deutsche Forschungsgemeinschaft","keywords":"Vertex model; Lattice (music); Mathematics; Quantum inverse scattering method; Rational function; Mathematical proof; Vertex (graph theory); Boundary value problem; Partition function (quantum field theory); Inverse; Pure mathematics; Inverse scattering problem; Algebra over a field; Discrete mathematics; Mathematical analysis; Quantum mechanics; Physics; Mathematical physics; Geometry; Inverse problem; Graph; Inverse scattering transform","score_opus":0.06005543357713962,"score_gpt":0.3068746478262966,"score_spread":0.24681921424915698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390777853","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90859425,0.00036997526,0.032055274,0.0053480812,0.003996874,0.0008874852,0.000061580846,0.0005960022,0.048090458],"genre_scores_gemma":[0.9977636,0.000004013316,0.00046329666,0.00030735487,0.00046097845,0.000025283884,0.0000061127116,0.00003681533,0.0009325579],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989636,0.000042897675,0.00015387118,0.00024497113,0.00040438856,0.00019028576],"domain_scores_gemma":[0.9989234,0.0005593734,0.000034492467,0.00038014053,0.000059751357,0.000042827178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016822398,0.00015851665,0.00013594821,0.000019049316,0.00017837864,0.00012564895,0.00024324212,0.00006588157,0.000044236956],"category_scores_gemma":[0.00009274289,0.00010379968,0.00011514567,0.00019587952,0.00005120623,0.00011261288,0.00006096978,0.00024860125,0.000074683594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001495763,0.000029502049,4.5732358e-7,0.000024650235,0.000050430393,0.0000016443634,0.0004983294,0.0028409376,0.00021831368,0.9907205,0.0049526794,0.0006476083],"study_design_scores_gemma":[0.00007901393,0.000023341616,0.000002884546,0.000037534646,0.000032843232,9.694706e-7,0.000018254328,0.25140098,0.00073807896,0.74736285,0.00020224962,0.00010101011],"about_ca_topic_score_codex":0.0000037026268,"about_ca_topic_score_gemma":0.000001159578,"teacher_disagreement_score":0.24856004,"about_ca_system_score_codex":0.000054016524,"about_ca_system_score_gemma":0.00010121268,"threshold_uncertainty_score":0.4232828},"labels":[],"label_agreement":null},{"id":"W4390822009","doi":"10.21468/scipost.report.8195","title":"Report on 2310.05850v1","year":2023,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Deutsche Forschungsgemeinschaft","keywords":"Computer science","score_opus":0.09158936569154157,"score_gpt":0.37545180671458256,"score_spread":0.283862441023041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390822009","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00021054399,0.006658942,0.00033515424,0.09320887,0.08136259,0.0031437546,0.00018430587,0.0025401434,0.8123557],"genre_scores_gemma":[0.00008282579,0.001611143,0.0003759579,0.0026424252,0.0019341246,0.00011348078,0.00033115357,0.00016584653,0.992743],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9971349,0.000054353986,0.0007863805,0.0006538713,0.000996904,0.00037359126],"domain_scores_gemma":[0.9972261,0.00047712444,0.00045597772,0.0015055941,0.00021319558,0.00012196919],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005350574,0.00047716117,0.001060684,0.00010198972,0.000076777505,0.00004158981,0.00049730606,0.00046585867,0.0030726758],"category_scores_gemma":[0.0017416115,0.00035207398,0.0004445552,0.00023925387,0.000029465104,0.000024925783,0.00020748428,0.00064195704,0.0007593976],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000019952763,0.000015968142,3.5805814e-7,0.0013749193,0.000070742026,0.00017029882,0.000004298308,1.2663301e-7,3.61451e-8,0.30674842,0.69102955,0.0005832804],"study_design_scores_gemma":[0.00007103844,0.00003161164,0.0000013870683,0.0015319055,0.00010830208,0.000029021372,0.0000015892514,0.0000012948577,0.0000035291182,0.48186454,0.516129,0.00022677063],"about_ca_topic_score_codex":0.000103434846,"about_ca_topic_score_gemma":0.000024036284,"teacher_disagreement_score":0.18038735,"about_ca_system_score_codex":0.00009914165,"about_ca_system_score_gemma":0.00019490451,"threshold_uncertainty_score":0.9998931},"labels":[],"label_agreement":null},{"id":"W4390827107","doi":"10.21468/scipost.report.8008","title":"Report on 2310.05850v1","year":2023,"lang":"en","type":"peer-review","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Deutsche Forschungsgemeinschaft","keywords":"Computer science","score_opus":0.09158936569154157,"score_gpt":0.37545180671458256,"score_spread":0.283862441023041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390827107","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00021054399,0.006658942,0.00033515424,0.09320887,0.08136259,0.0031437546,0.00018430587,0.0025401434,0.8123557],"genre_scores_gemma":[0.00008282579,0.001611143,0.0003759579,0.0026424252,0.0019341246,0.00011348078,0.00033115357,0.00016584653,0.992743],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9971349,0.000054353986,0.0007863805,0.0006538713,0.000996904,0.00037359126],"domain_scores_gemma":[0.9972261,0.00047712444,0.00045597772,0.0015055941,0.00021319558,0.00012196919],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005350574,0.00047716117,0.001060684,0.00010198972,0.000076777505,0.00004158981,0.00049730606,0.00046585867,0.0030726758],"category_scores_gemma":[0.0017416115,0.00035207398,0.0004445552,0.00023925387,0.000029465104,0.000024925783,0.00020748428,0.00064195704,0.0007593976],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000019952763,0.000015968142,3.5805814e-7,0.0013749193,0.000070742026,0.00017029882,0.000004298308,1.2663301e-7,3.61451e-8,0.30674842,0.69102955,0.0005832804],"study_design_scores_gemma":[0.00007103844,0.00003161164,0.0000013870683,0.0015319055,0.00010830208,0.000029021372,0.0000015892514,0.0000012948577,0.0000035291182,0.48186454,0.516129,0.00022677063],"about_ca_topic_score_codex":0.000103434846,"about_ca_topic_score_gemma":0.000024036284,"teacher_disagreement_score":0.18038735,"about_ca_system_score_codex":0.00009914165,"about_ca_system_score_gemma":0.00019490451,"threshold_uncertainty_score":0.9998931},"labels":[],"label_agreement":null},{"id":"W4390950215","doi":"10.1017/prm.2024.132","title":"Regularity of quasigeodesics characterizes hyperbolicity","year":2024,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Virasoro algebra; Simple (philosophy); Tensor product; Simple module; Vertex (graph theory); Mathematics; Pure mathematics; Vertex operator algebra; Algebraic number; Verma module; Algebra over a field; Lie algebra; Current algebra; Algebra representation; Discrete mathematics; Cellular algebra; Mathematical analysis; Jordan algebra","score_opus":0.023284962546541246,"score_gpt":0.2630138123659276,"score_spread":0.23972884981938633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390950215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9948615,0.00011467478,0.0017503257,0.00023478232,0.0010891781,0.00036751933,0.0000121149515,0.00009482519,0.0014751151],"genre_scores_gemma":[0.98887193,0.0000378833,0.009696406,0.00001589982,0.00036568826,0.000014345978,5.5712536e-7,0.000033111934,0.00096418976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981427,0.000006288015,0.0007736039,0.0002237668,0.0006453579,0.00020824063],"domain_scores_gemma":[0.99837327,0.00025440284,0.00066429883,0.00020489398,0.00045329396,0.0000498193],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007230801,0.00022743312,0.0005729309,0.000043045686,0.0000979818,0.000035949353,0.00041997316,0.00024331713,0.000099765675],"category_scores_gemma":[0.00032711297,0.00016180336,0.0006879828,0.0004208129,0.00024710238,0.00013530471,0.00019504422,0.0003135462,1.8216502e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007168426,0.00091397983,0.0011501296,0.01326662,0.0010837655,1.4353067e-7,0.030074472,0.000035876783,0.08936004,0.82395965,0.039341137,0.0007425165],"study_design_scores_gemma":[0.00024759572,0.000098307886,0.00018095298,0.0008802627,0.00025199383,0.000006279097,0.0015676751,0.013971538,0.09801263,0.8843156,0.00027915178,0.00018797805],"about_ca_topic_score_codex":0.00003289109,"about_ca_topic_score_gemma":3.288552e-7,"teacher_disagreement_score":0.060356002,"about_ca_system_score_codex":0.00006401687,"about_ca_system_score_gemma":0.000060129245,"threshold_uncertainty_score":0.6598149},"labels":[],"label_agreement":null},{"id":"W4390963491","doi":"10.48550/arxiv.2401.15051","title":"The Norm Functor over Schemes","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Functor; Mathematics; Morphism; Norm (philosophy); Pure mathematics; Equivalence (formal languages); Stack (abstract data type); Embedding; Morita equivalence; Rank (graph theory); Ext functor; Algebra over a field; Functor category; Combinatorics; Computer science","score_opus":0.08811728484546254,"score_gpt":0.21758498033081414,"score_spread":0.12946769548535159,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390963491","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98465973,0.0005018943,0.0013581744,0.00013844478,0.004336403,0.0003709672,0.000021516335,0.00029087884,0.008321985],"genre_scores_gemma":[0.9871796,0.00015280143,0.000054937635,0.00003942836,0.00043972975,0.0000018132987,0.000004807559,0.000051942807,0.012074965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985825,0.000059945258,0.0002092817,0.0006731137,0.00013162942,0.0003435773],"domain_scores_gemma":[0.99818826,0.0003669552,0.0001688725,0.0010648983,0.00009988473,0.00011112852],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00018023349,0.000353257,0.00031686726,0.00007907406,0.0002476568,0.00016519603,0.0008534285,0.00036692104,0.00016713208],"category_scores_gemma":[0.000099742894,0.0002693763,0.00036385088,0.00023524926,0.00013991923,0.000051010775,0.0020800987,0.0009382951,0.000106752115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004050314,0.000019452309,0.00011907492,0.00013836836,0.00024372792,0.00006126485,0.00008650795,0.00027030852,0.000003144186,0.99408543,0.0047938526,0.00013837041],"study_design_scores_gemma":[0.0002324207,0.000020143796,0.00006232453,0.00009295294,0.00024441947,0.0000015567332,0.00007877233,0.0053960085,0.00004221491,0.9853247,0.008186281,0.00031821377],"about_ca_topic_score_codex":0.00006151165,"about_ca_topic_score_gemma":0.00004435546,"teacher_disagreement_score":0.0087607335,"about_ca_system_score_codex":0.0002006476,"about_ca_system_score_gemma":0.00018666965,"threshold_uncertainty_score":0.99997586},"labels":[],"label_agreement":null},{"id":"W4391112939","doi":"10.1016/j.jalgebra.2023.12.039","title":"A dichotomy between twisted tensor products of bialgebras and Frobenius algebras","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Hausdorff Research Institute for Mathematics; Deutsche Forschungsgemeinschaft; Simons Foundation; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Tensor product of algebras; Bialgebra; Mathematics; Tensor product; Frobenius algebra; Tensor product of Hilbert spaces; Pure mathematics; Tensor product of modules; Coalgebra; Tensor (intrinsic definition); Noncommutative geometry; Tensor contraction; Algebra over a field; Bimodule; Hopf algebra; Algebra representation","score_opus":0.035474332623187624,"score_gpt":0.30306873155783703,"score_spread":0.2675943989346494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391112939","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99338335,0.0034071791,0.0004902184,0.00085046515,0.001282036,0.00027349856,0.000012035137,0.00005901048,0.00024221324],"genre_scores_gemma":[0.9946293,0.000103678416,0.0036487712,0.0000438685,0.0013260109,0.0000033347537,0.0000016966644,0.00006554442,0.0001777829],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974265,0.000112569316,0.0011618297,0.00030351212,0.0006781792,0.00031740704],"domain_scores_gemma":[0.9977632,0.0006749126,0.00058742217,0.00034461604,0.00042624978,0.00020359307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070639316,0.0003049337,0.0008539459,0.00038216077,0.00006619108,0.00012219824,0.00036553448,0.00019505138,0.000102127095],"category_scores_gemma":[0.00076307106,0.0002264768,0.00025123815,0.0005448432,0.00016152373,0.00034906736,0.00011745748,0.00053143915,0.000005433798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021202136,0.00017509435,0.0036435444,0.0015874581,0.0015288845,0.00022381617,0.0027791788,0.0000020696205,0.005394719,0.96260285,0.009858386,0.01199195],"study_design_scores_gemma":[0.00095342414,0.0004436374,0.0038071948,0.000584554,0.00052820565,0.00027475983,0.00012988146,0.000025835292,0.011677329,0.9779275,0.0033616286,0.0002860429],"about_ca_topic_score_codex":0.000013359853,"about_ca_topic_score_gemma":0.0000013731931,"teacher_disagreement_score":0.015324628,"about_ca_system_score_codex":0.000058409656,"about_ca_system_score_gemma":0.00026264726,"threshold_uncertainty_score":0.9235456},"labels":[],"label_agreement":null},{"id":"W4391190810","doi":"10.4310/atmp.2022.v26.n9.a10","title":"Local operators of $4d \\mathcal{N}=2$ gauge theories from the affine Grassmannian","year":2022,"lang":"en","type":"article","venue":"Advances in Theoretical and Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Grassmannian; Affine transformation; Supersymmetric gauge theory; Mathematics; Mathematical physics; Gauge theory; Pure mathematics; Physics; Gauge (firearms); Theoretical physics; Algebra over a field; Geography","score_opus":0.007676316480553778,"score_gpt":0.2642924737839071,"score_spread":0.2566161573033533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391190810","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8239964,0.0016306073,0.1647142,0.0011024263,0.0006670405,0.00075717503,0.00013294788,0.000096034695,0.0069031133],"genre_scores_gemma":[0.9971972,0.000060154118,0.0022640135,0.00020288218,0.00014042901,0.00007829368,0.000006260387,0.000031074203,0.000019703704],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981728,0.00023080986,0.00049976667,0.00030699078,0.00048185463,0.00030773703],"domain_scores_gemma":[0.99657965,0.0027250315,0.00012248714,0.00043582346,0.000055481192,0.000081508886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042106095,0.0002456302,0.00052364956,0.000019189074,0.00025248333,0.000032740347,0.00045796594,0.000060000704,0.0008942818],"category_scores_gemma":[0.00046075025,0.00015304347,0.00011350068,0.00025549083,0.0018422464,0.00013718553,0.00049912813,0.0004212436,0.0000034424884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008237392,0.00022072396,0.000053938074,0.00006800594,0.00002351498,0.0000038389153,0.0011426068,0.00006009178,0.000020650617,0.99411845,0.00004380022,0.0041620173],"study_design_scores_gemma":[0.00047116049,0.00013377774,0.000017653838,0.000050759463,0.00004605568,0.0000044757758,0.0013918319,0.0017482871,0.0005735511,0.99505204,0.0003144778,0.00019591738],"about_ca_topic_score_codex":0.0000056706854,"about_ca_topic_score_gemma":0.000002790805,"teacher_disagreement_score":0.17320074,"about_ca_system_score_codex":0.000033647793,"about_ca_system_score_gemma":0.000033194905,"threshold_uncertainty_score":0.9791758},"labels":[],"label_agreement":null},{"id":"W4391405745","doi":"10.1017/fms.2024.3","title":"Lie algebra actions on module categories for truncated shifted yangians","year":2024,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; Perimeter Institute; University of Waterloo; McGill University","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada","keywords":"Algebra over a field; Lie algebra; Mathematics; Pure mathematics","score_opus":0.04828459306572717,"score_gpt":0.31461124352348985,"score_spread":0.26632665045776266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391405745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78407395,0.00053065503,0.19405805,0.0031800466,0.0041924464,0.0027206119,0.00033997174,0.001225859,0.009678389],"genre_scores_gemma":[0.9830742,0.0000107432425,0.014854489,0.00004702982,0.00017556924,0.0001551711,0.00002712434,0.00010900357,0.0015466884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983011,0.000021437958,0.000584775,0.00031899684,0.0003720885,0.00040160926],"domain_scores_gemma":[0.9979193,0.001129835,0.00017325036,0.0005568396,0.00013061243,0.0000901363],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024271703,0.00030128806,0.0004934536,0.00018596345,0.0001536922,0.00008855378,0.00031642988,0.00020547016,0.00016858836],"category_scores_gemma":[0.00041938736,0.0002449103,0.00031945785,0.00031070467,0.000081622224,0.00013271815,0.00006426006,0.00019077658,0.000031232208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025324953,0.00021126498,0.0000024049684,0.00086573604,0.00019362634,0.0000022762745,0.0014866628,0.00002521826,0.00031069867,0.9876802,0.008774342,0.0004222508],"study_design_scores_gemma":[0.0003871712,0.00029185243,0.000004797351,0.00024284521,0.00015325616,0.0000085124375,0.0008932616,0.0075402157,0.009903441,0.97803926,0.0022814162,0.00025397903],"about_ca_topic_score_codex":0.000011915774,"about_ca_topic_score_gemma":0.000013314512,"teacher_disagreement_score":0.19900021,"about_ca_system_score_codex":0.00007431571,"about_ca_system_score_gemma":0.00009732125,"threshold_uncertainty_score":0.9987152},"labels":[],"label_agreement":null},{"id":"W4391448163","doi":"10.22331/q-2024-02-01-1239","title":"Hamiltonian variational ansatz without barren plateaus","year":2024,"lang":"en","type":"article","venue":"Quantum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":65,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Xanadu Quantum Technologies (Canada)","funders":"Office of Science; National Energy Research Scientific Computing Center; U.S. Department of Energy","keywords":"Ansatz; Hamiltonian (control theory); Mathematical physics; Physics; Statistical physics; Mathematics; Mathematical optimization","score_opus":0.03612618268355906,"score_gpt":0.3185535060416158,"score_spread":0.28242732335805676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391448163","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9560774,0.00092835765,0.021234972,0.0013051258,0.009036872,0.0004003312,0.000035846402,0.0008627329,0.010118345],"genre_scores_gemma":[0.99696106,0.000006497076,0.0013133849,0.00006410322,0.00053241156,0.000014980695,0.0000074159125,0.00003563664,0.0010645107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990242,0.0000305794,0.00021108684,0.00024606314,0.0002754273,0.00021265233],"domain_scores_gemma":[0.9994579,0.00017344508,0.000033119362,0.00022949725,0.000033440632,0.00007258023],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015518285,0.00014562457,0.0001713719,0.000060622762,0.00008491955,0.00010724516,0.00015552642,0.00010350214,0.0004773725],"category_scores_gemma":[0.00006978595,0.00011893847,0.00008278891,0.00013213382,0.000028520544,0.000106178486,0.000038636434,0.00018210946,0.000121764584],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009532474,0.000014542173,0.00009392642,0.000047227157,0.00005486882,0.00001329522,0.0004495317,0.0000072362054,0.0000604448,0.9946255,0.0041433237,0.00048059048],"study_design_scores_gemma":[0.00018066175,0.00003917967,0.00039071927,0.00005230432,0.00003497726,0.00001865728,0.000028823988,0.01707512,0.00007394893,0.9739474,0.007999206,0.00015901521],"about_ca_topic_score_codex":0.00002933272,"about_ca_topic_score_gemma":0.000005637245,"teacher_disagreement_score":0.04088364,"about_ca_system_score_codex":0.000047279533,"about_ca_system_score_gemma":0.00009749626,"threshold_uncertainty_score":0.5226894},"labels":[],"label_agreement":null},{"id":"W4391649360","doi":"10.4153/s0008439524000110","title":"Some examples of noncommutative projective Calabi–Yau schemes","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science","keywords":"Noncommutative geometry; Calabi–Yau manifold; Mathematics; Noncommutative algebraic geometry; Commutative property; Projective test; Pure mathematics; Algebra over a field; Construct (python library); Noncommutative quantum field theory; Computer science","score_opus":0.03441721269113125,"score_gpt":0.29705414295785576,"score_spread":0.2626369302667245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391649360","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9352302,0.0031785767,0.0049409107,0.007706608,0.0012910417,0.0021402312,0.00023524863,0.0004979513,0.044779226],"genre_scores_gemma":[0.9926608,0.000009631522,0.0053829122,0.00014846436,0.0002552629,0.00007747141,0.000005548294,0.00006582438,0.0013940828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983375,0.00008695923,0.00047619597,0.00033129173,0.00031231344,0.00045572163],"domain_scores_gemma":[0.99789655,0.0011762086,0.00007511507,0.00038418884,0.000113477974,0.00035447534],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003450517,0.00026276978,0.00048439167,0.00020736475,0.0000970836,0.000077202596,0.00031436322,0.00017767373,0.0043427744],"category_scores_gemma":[0.00092248514,0.00021455812,0.00017300855,0.0002383392,0.00022666066,0.00006277378,0.000065808126,0.00031343437,0.0007677665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000635658,0.000029776118,0.000005861975,0.0005082443,0.00012222439,0.000037210742,0.0015721244,5.6506e-7,0.000040712766,0.9885702,0.008569988,0.00053672295],"study_design_scores_gemma":[0.00016985215,0.00007045923,0.000013883222,0.00036384468,0.00007697096,0.000021769409,0.0005335226,0.0002051416,0.00078423735,0.9808064,0.016714366,0.00023953903],"about_ca_topic_score_codex":0.0010758769,"about_ca_topic_score_gemma":0.00022943346,"teacher_disagreement_score":0.057430595,"about_ca_system_score_codex":0.00023055632,"about_ca_system_score_gemma":0.0005153918,"threshold_uncertainty_score":0.99656737},"labels":[],"label_agreement":null},{"id":"W4391716568","doi":"10.1007/s00220-023-04889-1","title":"3-Manifolds and VOA Characters","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Office of Science; National Research University Higher School of Economics; American Institute of Mathematics; Canada Research Chairs; High Energy Physics; U.S. Department of Energy; National Science Foundation","keywords":"Vertex (graph theory); Mathematics; Pure mathematics; Algorithm; Combinatorics","score_opus":0.07522090315007286,"score_gpt":0.3591694740481568,"score_spread":0.28394857089808395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391716568","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8529266,0.004786404,0.059177022,0.008464456,0.0009905972,0.0017674025,0.000026918759,0.0012071239,0.07065345],"genre_scores_gemma":[0.9882903,0.00014274097,0.011197315,0.000054344473,0.00007104543,0.000050045128,0.000005055615,0.000030444899,0.00015867574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991592,0.00006402876,0.00029637545,0.0001737533,0.00014365066,0.00016296045],"domain_scores_gemma":[0.9977046,0.0011130896,0.000035638852,0.0010695345,0.000026280195,0.000050820978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023858102,0.00013630776,0.00022137664,0.000048439702,0.000083193765,0.000104409715,0.0004785454,0.000073408766,0.00002906167],"category_scores_gemma":[0.00014685837,0.00011822476,0.00005905611,0.00024422986,0.00016413798,0.0001531871,0.00034721039,0.0003065109,0.000043355045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001254606,0.00008009877,0.0000135985865,0.00014297872,0.000018454251,0.0000013036722,0.0009645417,4.791672e-7,0.000030618627,0.9949375,0.00016970206,0.003639481],"study_design_scores_gemma":[0.00009870128,0.000011385084,0.00007005989,0.00020674363,0.000026744132,0.000006039953,0.00008587084,0.00868358,0.000038546546,0.99014956,0.00049437914,0.00012838584],"about_ca_topic_score_codex":0.000002909986,"about_ca_topic_score_gemma":0.0000018212594,"teacher_disagreement_score":0.13536371,"about_ca_system_score_codex":0.000044974753,"about_ca_system_score_gemma":0.000026823735,"threshold_uncertainty_score":0.48210657},"labels":[],"label_agreement":null},{"id":"W4391880572","doi":"10.4153/s0008414x24000142","title":"The restricted quantum double of the Yangian","year":2024,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Yangian; Mathematics; Quantum; Pure mathematics; Mathematical physics; Algebra over a field; Quantum mechanics; Physics","score_opus":0.03355214033939792,"score_gpt":0.27180868881484876,"score_spread":0.23825654847545086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391880572","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9831706,0.0031960097,0.00097082887,0.0036293264,0.0053597325,0.00033173134,0.000012991749,0.000019306815,0.0033094438],"genre_scores_gemma":[0.9985528,0.000027599117,0.0006523087,0.000021857364,0.00021894096,0.0000016484342,1.260336e-7,0.000028529666,0.0004961979],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871385,0.00004296303,0.0006046463,0.000067808374,0.0003280122,0.00024274582],"domain_scores_gemma":[0.9982825,0.0006145471,0.00031774692,0.0003897753,0.00020188406,0.00019353816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004790223,0.00012231167,0.0002356484,0.00010204823,0.00021173863,0.0001577211,0.0006782742,0.00008394885,0.00004532519],"category_scores_gemma":[0.00052093604,0.000060592403,0.00023485809,0.00035561586,0.00014563835,0.000066882305,0.000026291407,0.00033155276,0.0000037353336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036741988,0.00000784791,0.000022024182,0.00011385086,0.00008892984,0.000017686476,0.0014824094,0.000008860927,0.000028953342,0.988174,0.009782954,0.0002687811],"study_design_scores_gemma":[0.00019341633,0.000041045536,0.000052694515,0.00035775872,0.000099486795,0.00015490207,0.00085049,0.00044305203,0.0003897227,0.98754513,0.009796519,0.00007580283],"about_ca_topic_score_codex":0.00030799018,"about_ca_topic_score_gemma":0.001580465,"teacher_disagreement_score":0.015382162,"about_ca_system_score_codex":0.000099965735,"about_ca_system_score_gemma":0.0011810006,"threshold_uncertainty_score":0.24708864},"labels":[],"label_agreement":null},{"id":"W4391915304","doi":"10.1112/blms.13003","title":"Frieze patterns over algebraic numbers","year":2024,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Frieze; Coxeter group; Algebraic number; Combinatorics; Bijection; Algebraic number field; Order (exchange); Zero (linguistics); Field (mathematics); Pure mathematics","score_opus":0.015647961782374514,"score_gpt":0.269501082146875,"score_spread":0.2538531203645005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391915304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96829575,0.00057134114,0.00889438,0.008331095,0.0017900657,0.0008863191,0.000037487185,0.00041157057,0.010782015],"genre_scores_gemma":[0.9889748,0.000029283285,0.0050197407,0.00053370965,0.0002885491,0.0000356647,0.0000014611952,0.00007858686,0.005038196],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980716,0.00008107093,0.0005242077,0.00032468207,0.0006476963,0.00035072587],"domain_scores_gemma":[0.9980686,0.0010072136,0.00012882907,0.00065696094,0.000047357527,0.00009104905],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00045234783,0.00026847995,0.00041953853,0.000014137372,0.00012332966,0.00008206815,0.00058306,0.00021373293,0.005306501],"category_scores_gemma":[0.0002827604,0.00016523179,0.00091146905,0.00017063331,0.0001845049,0.000026140433,0.0003303713,0.0003934701,0.00012186469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000060500515,0.000076048476,0.00007023942,0.000945066,0.00016370464,0.0000018012499,0.0009792856,0.0000017017302,0.00006743071,0.8958076,0.101656646,0.00022439743],"study_design_scores_gemma":[0.0002907647,0.000023672697,0.00010317033,0.00041644124,0.00012789655,0.0000142615445,0.00015827912,0.00044228582,0.0008141432,0.97626454,0.021141157,0.00020339357],"about_ca_topic_score_codex":0.00003177258,"about_ca_topic_score_gemma":0.0000010039815,"teacher_disagreement_score":0.08051549,"about_ca_system_score_codex":0.00007122282,"about_ca_system_score_gemma":0.000041591404,"threshold_uncertainty_score":0.9956028},"labels":[],"label_agreement":null},{"id":"W4392016937","doi":"10.1080/00927872.2024.2316311","title":"On Hopf algebras whose coradical is a cocentral abelian cleft extension","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Saint Mary's University","funders":"Agencia Nacional de Promoción Científica y Tecnológica; Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Hopf algebra; Mathematics; Abelian group; Integer (computer science); Pure mathematics; Extension (predicate logic); Dimension (graph theory); Simple (philosophy); Representation theory of Hopf algebras; Algebra over a field; Quasitriangular Hopf algebra; Division algebra; Algebra representation","score_opus":0.06308153556393058,"score_gpt":0.35876876220367465,"score_spread":0.29568722663974406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392016937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9760572,0.0036207447,0.00055237644,0.009480322,0.0014406347,0.0007034747,0.000026780343,0.0005484186,0.007570091],"genre_scores_gemma":[0.994526,0.00053422217,0.003205284,0.00102011,0.00009933652,0.00006686226,0.000025823421,0.00006873557,0.00045359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798894,0.00020991938,0.0005588037,0.00045572856,0.0003746567,0.00041196344],"domain_scores_gemma":[0.9958829,0.0011712398,0.00008029456,0.0026398804,0.00007111017,0.00015455247],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00038995332,0.0002820033,0.00034609024,0.00025444324,0.0002848774,0.00017583476,0.0012836533,0.00023567995,0.00044676365],"category_scores_gemma":[0.00039148613,0.00025745,0.000168453,0.00059259,0.00026437468,0.00013636539,0.00047612496,0.00082830153,0.00024064645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001925806,0.00021519732,0.0001312771,0.000044601704,0.00003817868,0.000013444957,0.0011054508,0.0000028010488,0.000025366751,0.97146904,0.022097502,0.004837888],"study_design_scores_gemma":[0.0004516459,0.00008119004,0.0009605235,0.00043609634,0.000040991585,0.000015166292,0.00010808189,0.0067117433,0.00009160752,0.9799098,0.010902147,0.0002910304],"about_ca_topic_score_codex":0.00004794149,"about_ca_topic_score_gemma":0.00003752648,"teacher_disagreement_score":0.01846888,"about_ca_system_score_codex":0.00019414203,"about_ca_system_score_gemma":0.00013484832,"threshold_uncertainty_score":0.9999878},"labels":[],"label_agreement":null},{"id":"W4392094043","doi":"10.1016/j.jsc.2024.102310","title":"Matrix factorizations of the discriminant of S","year":2024,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; Carleton University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Discriminant; Noncommutative geometry; Ring (chemistry); Symmetric group; Group (periodic table); Polynomial ring; Matrix (chemical analysis); Combinatorics; Factorization; Algebra over a field; Matrix decomposition; Matrix group; Pure mathematics; Polynomial; Algorithm","score_opus":0.03006970399484468,"score_gpt":0.3498138827065518,"score_spread":0.3197441787117071,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392094043","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94606626,0.00028079277,0.051562745,0.00022734945,0.0016406752,0.00007928997,0.000003613598,0.0000064858214,0.00013278855],"genre_scores_gemma":[0.99880594,0.000012374127,0.0009785837,0.000003085964,0.00014977889,3.7548753e-7,3.525118e-7,0.000008763226,0.00004073305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990936,0.000038806746,0.0004827248,0.00004482371,0.00028476308,0.00005530669],"domain_scores_gemma":[0.9991314,0.00020952908,0.00036668548,0.00007968262,0.00019199654,0.000020723232],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001458993,0.00005995347,0.00018914549,0.000085277374,0.000027078177,0.000015253297,0.00013016243,0.00003486989,0.000012779643],"category_scores_gemma":[0.00010457316,0.000035071964,0.00015184739,0.00021590645,0.000030547722,0.000078914636,0.000028520357,0.00010206524,2.9770212e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012074217,0.000054486878,0.00027561295,0.00027007578,0.00009746279,0.0000015434935,0.0036745172,0.0016200843,0.002743944,0.9879199,0.00051660114,0.0028136645],"study_design_scores_gemma":[0.00016742168,0.00006816237,0.0038027563,0.00027904898,0.000116908595,0.000030433781,0.00023390545,0.0029090827,0.0028001599,0.9894645,0.00008547529,0.000042144817],"about_ca_topic_score_codex":0.000007142294,"about_ca_topic_score_gemma":7.3227136e-7,"teacher_disagreement_score":0.052739695,"about_ca_system_score_codex":0.00002609434,"about_ca_system_score_gemma":0.0001016796,"threshold_uncertainty_score":0.14301932},"labels":[],"label_agreement":null},{"id":"W4392337962","doi":"10.1016/j.aim.2024.109577","title":"Automorphisms of the quantum cohomology of the Springer resolution and applications","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Tsinghua University; National Natural Science Foundation of China","keywords":"Mathematics; Automorphism; Cohomology; Resolution (logic); Quantum; Pure mathematics; Quantum cohomology; Algebra over a field; Equivariant cohomology; Quantum mechanics; Artificial intelligence; Computer science; Physics","score_opus":0.015266666499515752,"score_gpt":0.2932741245183892,"score_spread":0.27800745801887344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392337962","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92566043,0.014704111,0.048822075,0.00085854274,0.0022089733,0.0020871463,0.00002857131,0.000108718,0.0055214264],"genre_scores_gemma":[0.995212,0.00017380895,0.0044216746,0.00000916408,0.00003782816,0.000040055278,1.6999964e-7,0.000012787409,0.000092502756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992479,0.000037707287,0.00033677113,0.000113709975,0.00016650141,0.00009738823],"domain_scores_gemma":[0.99892855,0.00048346043,0.00016066883,0.0003837341,0.000032662138,0.000010955453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002119196,0.00008374126,0.00018638204,0.000031084306,0.00004336917,0.0000064700344,0.0002522477,0.00005946682,0.000010537832],"category_scores_gemma":[0.00014897199,0.000046398098,0.000058695,0.0002437586,0.00024370087,0.000057639754,0.0001326451,0.00012835431,5.906171e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000013472027,0.000030191464,0.00018343246,0.0005070258,0.000009449224,1.5694454e-7,0.0005974147,0.000078986064,0.00013907788,0.99771464,0.00002646336,0.0007118424],"study_design_scores_gemma":[0.00008142824,0.000010531603,0.00028352675,0.00022590748,0.00003082625,0.00000776233,0.000114972165,0.004696235,0.00078567007,0.99263924,0.0010786793,0.000045245488],"about_ca_topic_score_codex":0.000003832647,"about_ca_topic_score_gemma":0.000009646839,"teacher_disagreement_score":0.06955157,"about_ca_system_score_codex":0.00002143676,"about_ca_system_score_gemma":0.00003067374,"threshold_uncertainty_score":0.18920596},"labels":[],"label_agreement":null},{"id":"W4393121966","doi":"10.2139/ssrn.4770294","title":"Fusion Modules and Amenability of Coideals of Compact and Discrete Quantum Groups","year":2024,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Quantum; Fusion; Pure mathematics; Mathematics; Business; Computer science; Physics; Quantum mechanics; Linguistics; Philosophy","score_opus":0.017438915461748968,"score_gpt":0.2934856474766554,"score_spread":0.2760467320149064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393121966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98642546,0.011441606,0.0010534419,0.00026020908,0.00042837462,0.00026254673,0.000025002295,0.0000180478,0.00008531331],"genre_scores_gemma":[0.9943781,0.005270841,0.000111680674,0.0000037203693,0.00015429762,0.0000023121331,0.000002813771,0.000034439767,0.00004177642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99768233,0.00015084086,0.0007047644,0.0003284074,0.0003626952,0.0007709763],"domain_scores_gemma":[0.99862826,0.00021762286,0.00060672883,0.00033464504,0.00012589351,0.000086858825],"candidate_categories":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0013147307,0.00029179684,0.0007957277,0.0001188408,0.0000710019,0.000048326543,0.00023462571,0.00024029463,0.000009701401],"category_scores_gemma":[0.00015726032,0.00021971679,0.0001897883,0.000069324684,0.0001858963,0.000041719562,0.00039908924,0.0024608262,1.7912718e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000094931565,0.000033851185,0.0003315383,0.00081010844,0.00033265294,0.0000011095833,0.0005240121,0.000017227178,0.0004561603,0.9956208,0.0000247288,0.001752888],"study_design_scores_gemma":[0.00038074385,0.0003020132,0.00077973393,0.00039423667,0.00023022595,0.00010346944,0.000655586,0.0007265264,0.0002676085,0.9959691,0.0000052754012,0.0001854499],"about_ca_topic_score_codex":0.00021125577,"about_ca_topic_score_gemma":0.00011036622,"teacher_disagreement_score":0.00795266,"about_ca_system_score_codex":0.00025800872,"about_ca_system_score_gemma":0.00073184964,"threshold_uncertainty_score":0.99984056},"labels":[],"label_agreement":null},{"id":"W4393230399","doi":"10.1007/s10468-024-10264-y","title":"Gelfand-Tsetlin Modules: Canonicity and Calculations","year":2024,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Perimeter Institute; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebra over a field; Pure mathematics; Mathematics education","score_opus":0.02860735453298171,"score_gpt":0.3253536004672227,"score_spread":0.29674624593424104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393230399","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9858458,0.0022893946,0.008808736,0.00034538956,0.00046456492,0.00021396713,0.000008223833,0.00013921717,0.0018846994],"genre_scores_gemma":[0.9977649,0.00016159934,0.0005878929,0.00006699357,0.00016821295,0.000019884163,0.000007859304,0.000021688289,0.0012009806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909717,0.00010438898,0.00020724705,0.00030538606,0.00014609398,0.00013971108],"domain_scores_gemma":[0.9990887,0.0005659104,0.000038804577,0.00019295677,0.000033656208,0.000079963],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025849204,0.00012636333,0.00015621481,0.00007587993,0.00016838305,0.00013021227,0.000057219,0.00008541945,0.0001266215],"category_scores_gemma":[0.000121740544,0.00009881515,0.000051667335,0.00013523617,0.000118429496,0.00016040272,0.0000660798,0.00012090369,0.0000046387804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012555956,0.00001003127,0.00027279588,0.000053427793,0.000066878565,0.0000053363633,0.0010534744,0.000006571554,0.000121195,0.9909599,0.00035747333,0.007080358],"study_design_scores_gemma":[0.00020941063,0.000018729712,0.002153421,0.000034210127,0.000072796516,0.000026304242,0.00041391168,0.0013760417,0.00041173157,0.9947882,0.0003688042,0.00012639632],"about_ca_topic_score_codex":0.00007551102,"about_ca_topic_score_gemma":0.000013328631,"teacher_disagreement_score":0.011919082,"about_ca_system_score_codex":0.000016396425,"about_ca_system_score_gemma":0.000028020115,"threshold_uncertainty_score":0.4029565},"labels":[],"label_agreement":null},{"id":"W4393950498","doi":"10.1090/memo/1476","title":"Higher Airy Structures, 𝒲 Algebras and Topological Recursion","year":2024,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"European Regional Development Fund; Natural Sciences and Engineering Research Council of Canada; Max-Planck-Gesellschaft; Fundacja na rzecz Nauki Polskiej; European Commission","keywords":"Recursion (computer science); Mathematics; Pure mathematics; Algebra over a field; Topology (electrical circuits); Combinatorics; Algorithm","score_opus":0.024734159866934426,"score_gpt":0.3001177126131638,"score_spread":0.27538355274622933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393950498","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9866635,0.001198222,0.0019940971,0.0066720257,0.0009365302,0.0003169383,0.000010432348,0.00017721768,0.002031027],"genre_scores_gemma":[0.9808026,0.00007485448,0.017164266,0.00039853205,0.00021794833,0.000011351868,5.4851387e-7,0.000035551755,0.0012943727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985465,0.00009505482,0.00035047217,0.0003051326,0.00041748915,0.00028539653],"domain_scores_gemma":[0.9985373,0.0007316141,0.0001521273,0.00044753822,0.000036075056,0.00009536171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003049158,0.00021876971,0.00047653096,0.000016220285,0.0001208647,0.00004955482,0.00035501015,0.00011235616,0.00033045546],"category_scores_gemma":[0.00019292427,0.00012295508,0.00039331484,0.00030531522,0.0010441955,0.000065467655,0.00030805857,0.00033906254,0.000005156538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010413445,0.0000354112,0.000025727773,0.00029100792,0.00009918669,0.0000014456418,0.0006028108,7.7481167e-7,0.00019679833,0.9859094,0.010801864,0.0020251311],"study_design_scores_gemma":[0.000118436954,0.00007466416,0.00037257417,0.00010800108,0.000093223265,0.000022982647,0.00033483453,0.00028845505,0.0005924308,0.9957581,0.0020803479,0.00015592178],"about_ca_topic_score_codex":0.00002021453,"about_ca_topic_score_gemma":3.7713676e-7,"teacher_disagreement_score":0.015170169,"about_ca_system_score_codex":0.000053724438,"about_ca_system_score_gemma":0.00003401608,"threshold_uncertainty_score":0.5013963},"labels":[],"label_agreement":null},{"id":"W4394752745","doi":"10.1016/j.aim.2024.109651","title":"Twisting Manin's universal quantum groups and comodule algebras","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Air Force Office of Scientific Research; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation; Association for Women in Mathematics; American Mathematical Society; Office of Academic Research, U.S. Naval Academy; Simons Foundation; American Institute of Mathematics","keywords":"Mathematics; Pure mathematics; Superpotential; Dual polyhedron; Morita equivalence; Quantum; Quantum cohomology; Bimodule; Cohomology; Equivalence (formal languages); Frobenius algebra; Invariant (physics); Automorphism; Algebra over a field; Algebra representation; Equivariant cohomology; Mathematical physics; Physics","score_opus":0.018581645872753665,"score_gpt":0.2970401121890979,"score_spread":0.27845846631634424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394752745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95112693,0.007879462,0.028919807,0.00017030639,0.0015978786,0.00042724167,0.000007896514,0.00040347793,0.009467021],"genre_scores_gemma":[0.9783802,0.00042603663,0.020753397,0.000021214952,0.00013805692,0.000012703588,0.0000019562265,0.00004992671,0.0002164972],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987765,0.000032147953,0.00036564862,0.00029794654,0.00024434325,0.0002834141],"domain_scores_gemma":[0.998749,0.0008141307,0.00008357596,0.00026461968,0.000027047734,0.00006161734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027121775,0.00021777446,0.0003229938,0.000112115056,0.00007467104,0.00008900035,0.00019870975,0.00009234192,0.000058091955],"category_scores_gemma":[0.00020295833,0.00018978392,0.000055235956,0.00024127965,0.00010269176,0.00038985323,0.00012652199,0.00024942457,0.000011553093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004151395,0.0000359115,0.00007197068,0.0007332268,0.000016704915,0.000047020476,0.0021620826,0.000014145185,0.000019290295,0.9944705,0.00006939968,0.00235559],"study_design_scores_gemma":[0.00023937845,0.00003729128,0.000025690051,0.00040750697,0.00003149629,0.000043502292,0.0013943716,0.022378054,0.000057839763,0.97380245,0.0013631977,0.00021920247],"about_ca_topic_score_codex":0.0000050494064,"about_ca_topic_score_gemma":0.000013798706,"teacher_disagreement_score":0.0272533,"about_ca_system_score_codex":0.00006743833,"about_ca_system_score_gemma":0.000024562329,"threshold_uncertainty_score":0.77391636},"labels":[],"label_agreement":null},{"id":"W4394762390","doi":"10.1093/imrn/rnae052","title":"Symplectic Fourier–Deligne Transforms on <i>G/U</i> and the Algebra of Braids and Ties","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Braid; Braid group; Subalgebra; Algebra over a field; Type (biology); Symplectic geometry; Division algebra; Homomorphism; Filtered algebra","score_opus":0.08866254425637268,"score_gpt":0.41326413519841426,"score_spread":0.32460159094204155,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394762390","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97716546,0.0013807537,0.0017436063,0.007259986,0.00062413525,0.0006136936,0.00002069063,0.0000682431,0.011123431],"genre_scores_gemma":[0.99707884,0.00028445164,0.0016210058,0.000042099477,0.0001651448,0.000045490113,0.0000013374341,0.000028714956,0.00073289115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793184,0.00011066628,0.00039204833,0.00023754314,0.0011014149,0.00022649673],"domain_scores_gemma":[0.99338496,0.0060327165,0.00006796821,0.00023549778,0.00021303803,0.00006583324],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018850684,0.00015332762,0.00027250824,0.00023923427,0.000119508106,0.00031051083,0.00037846735,0.00007799122,0.00008128927],"category_scores_gemma":[0.001244187,0.00008791718,0.00007897096,0.0001927144,0.00059169345,0.00017880839,0.0001459916,0.000356474,0.000006655678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007717667,0.00004904312,0.000009050106,0.0005549283,0.00019738251,0.0000044530616,0.004600878,0.0000034982613,0.00008130472,0.9921676,0.00032879034,0.0019259133],"study_design_scores_gemma":[0.0005877546,0.00012449094,0.000019303929,0.0003753736,0.00003894658,0.000019315967,0.0007557473,0.014118951,0.0008770948,0.9823527,0.00063723733,0.00009308826],"about_ca_topic_score_codex":0.000032773918,"about_ca_topic_score_gemma":0.000014358332,"teacher_disagreement_score":0.019913403,"about_ca_system_score_codex":0.000034572986,"about_ca_system_score_gemma":0.000055333512,"threshold_uncertainty_score":0.35851586},"labels":[],"label_agreement":null},{"id":"W4394822911","doi":"10.1088/1751-8121/ad3ef1","title":"Quantized Weyl algebras, the double centralizer property, and a new first fundamental theorem for Uq(gln)","year":2024,"lang":"lv","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.03649090303463989,"score_gpt":0.29018924423477055,"score_spread":0.2536983412001307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394822911","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86750436,0.010935458,0.08080529,0.031939186,0.003377929,0.0033674848,0.00008356474,0.00011249379,0.0018742401],"genre_scores_gemma":[0.99332464,0.000500255,0.0033095086,0.00016979153,0.0019979412,0.000019280362,0.0000018194783,0.00010458054,0.00057220407],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969282,0.00013338657,0.0011636283,0.0004110358,0.0007314252,0.0006323295],"domain_scores_gemma":[0.99595684,0.0026817536,0.0003274505,0.00035654687,0.00016582811,0.00051160133],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011626576,0.00055677263,0.0010964691,0.000059929418,0.00033793753,0.00095212867,0.00044499224,0.00026498968,0.00047375044],"category_scores_gemma":[0.00031302226,0.00025953673,0.0005982249,0.00020045412,0.0013659794,0.0002719242,0.00029473103,0.0007597116,0.000016885251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008981948,0.00034882367,0.000005279586,0.0017331385,0.00072436826,0.000027878668,0.003919754,0.0000012972916,0.000081048966,0.9863782,0.0020879898,0.00379401],"study_design_scores_gemma":[0.0030285711,0.00075999775,0.000004260512,0.0015852855,0.0012545723,0.00049539865,0.00067844463,0.009246418,0.00045004956,0.97967947,0.0024426216,0.00037489043],"about_ca_topic_score_codex":0.00000488601,"about_ca_topic_score_gemma":7.622077e-7,"teacher_disagreement_score":0.12582026,"about_ca_system_score_codex":0.000069189824,"about_ca_system_score_gemma":0.00027061615,"threshold_uncertainty_score":0.9999857},"labels":[],"label_agreement":null},{"id":"W4394846978","doi":"10.2140/pjm.2024.328.77","title":"Fused Hecke algebra and one-boundary algebras","year":2024,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Agence Nationale de la Recherche","keywords":"Mathematics; Algebra over a field; Pure mathematics; Hecke operator; Boundary (topology); Hecke algebra; Mathematical analysis; Modular form","score_opus":0.0360992429763468,"score_gpt":0.2875625928888441,"score_spread":0.2514633499124973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394846978","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9437215,0.011208726,0.033395395,0.0014254224,0.0033590698,0.00040391728,0.000012482885,0.00020102915,0.006272513],"genre_scores_gemma":[0.9632532,0.00033384518,0.035263557,0.000031007945,0.00057782873,0.0000036210934,7.741581e-7,0.00007682535,0.00045932623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978107,0.000063729014,0.00095302076,0.0001995388,0.00066842383,0.00030455436],"domain_scores_gemma":[0.998075,0.0008597596,0.0003702784,0.0003248399,0.00017344182,0.00019667596],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009767135,0.00027594386,0.00062224985,0.00022910778,0.000115843206,0.0003306935,0.00029450768,0.00015715817,0.00020516176],"category_scores_gemma":[0.00039219303,0.00021176517,0.00023299636,0.00023762397,0.00013657544,0.00028083054,0.00008674897,0.00050672895,0.000021960057],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015770665,0.00015515418,0.000033365544,0.00088344223,0.00032785707,0.00008404033,0.0051993104,0.0000012405029,0.0002618021,0.9872083,0.0032194944,0.0026102297],"study_design_scores_gemma":[0.00041870069,0.00016308394,0.000017435608,0.0006253737,0.00024324456,0.0007690423,0.002211284,0.0004964455,0.0005564477,0.9923103,0.001960362,0.00022828589],"about_ca_topic_score_codex":0.0000010735771,"about_ca_topic_score_gemma":8.319019e-7,"teacher_disagreement_score":0.019531768,"about_ca_system_score_codex":0.00006922199,"about_ca_system_score_gemma":0.00020969905,"threshold_uncertainty_score":0.8635533},"labels":[],"label_agreement":null},{"id":"W4394978501","doi":"10.1007/jhep04(2024)115","title":"Symmetry fractionalized (irrationalized) fusion rules and two domain-wall Verlinde formulae","year":2024,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Natural Science Foundation of Zhejiang Province; National Natural Science Foundation of China","keywords":"Theoretical physics; Symmetry (geometry); Domain (mathematical analysis); Fusion rules; Physics; Mathematics; Fusion; Pure mathematics; Geometry; Mathematical analysis; Philosophy; Linguistics","score_opus":0.01649298478896276,"score_gpt":0.2810495268500599,"score_spread":0.26455654206109713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394978501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87263376,0.0017066742,0.121702075,0.0006012417,0.002354495,0.00005802173,0.000007960597,0.000048202226,0.0008875554],"genre_scores_gemma":[0.98909813,0.0001870853,0.008659585,0.00016499522,0.0016283995,0.0000029049484,0.000007144027,0.00003276566,0.00021895996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868953,0.000053631426,0.00043415575,0.00014748164,0.00052421895,0.00015099884],"domain_scores_gemma":[0.99890643,0.00043019472,0.00025935567,0.00013374478,0.0001782349,0.00009202928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017952868,0.00017462434,0.00032469135,0.00008441071,0.00011358588,0.0001106935,0.00013157427,0.00008610907,0.000069065194],"category_scores_gemma":[0.00003398596,0.00013216128,0.00018197997,0.00013271069,0.00003925684,0.00035058864,0.00005177521,0.00023458341,0.0000024032865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007872981,0.000056483485,0.000009466755,0.00003912866,0.00018572608,0.000025624044,0.00013999257,0.0000539624,0.00025412478,0.9948786,0.0015556832,0.0027224757],"study_design_scores_gemma":[0.0010139756,0.00008409041,0.00006187467,0.00011251993,0.000094645446,0.00011045866,0.000026131103,0.0004053706,0.0007881258,0.98721313,0.00994577,0.00014389312],"about_ca_topic_score_codex":0.000036083242,"about_ca_topic_score_gemma":0.0000037749878,"teacher_disagreement_score":0.116464384,"about_ca_system_score_codex":0.00008105058,"about_ca_system_score_gemma":0.00012278477,"threshold_uncertainty_score":0.53893805},"labels":[],"label_agreement":null},{"id":"W4395010780","doi":"10.1093/imrn/rnae078","title":"A Facial Order for Torsion Classes","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Torsion (gastropod); Lattice (music); Abelian group; Pure mathematics; Coxeter group; Combinatorics; Algebra over a field","score_opus":0.18646173787124623,"score_gpt":0.48236371233092823,"score_spread":0.295901974459682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395010780","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8698426,0.0006048418,0.065472074,0.006480827,0.011294576,0.0024379275,0.00015821874,0.0007167452,0.042992223],"genre_scores_gemma":[0.95124185,0.00003224701,0.042005926,0.000028557353,0.0013429312,0.00021521216,0.000015504012,0.000063589534,0.005054189],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99771655,0.000052388805,0.00037068027,0.0003241041,0.0011769637,0.00035933836],"domain_scores_gemma":[0.9958307,0.0030660634,0.000057572892,0.00024225835,0.0007175524,0.00008584073],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011168343,0.00015838491,0.00019812476,0.00030983237,0.00017268515,0.00054663967,0.00060983154,0.00012052164,0.00047549666],"category_scores_gemma":[0.0028119956,0.00012323183,0.00012828922,0.0002151427,0.00010182384,0.0002784944,0.00019234799,0.00029755448,0.00009376344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027095104,0.00010819956,0.000009070035,0.00046664185,0.00012921415,0.000007469686,0.0008886176,0.0000105409235,0.00026800492,0.9869537,0.0098399315,0.0012915188],"study_design_scores_gemma":[0.00021928194,0.00007973213,0.000004933599,0.00023586114,0.000019657402,0.0000055980927,0.00042626497,0.027770165,0.00090331887,0.93084675,0.03935325,0.00013520913],"about_ca_topic_score_codex":0.000034295233,"about_ca_topic_score_gemma":0.000031826978,"teacher_disagreement_score":0.08139928,"about_ca_system_score_codex":0.00014345809,"about_ca_system_score_gemma":0.00015191492,"threshold_uncertainty_score":0.5271259},"labels":[],"label_agreement":null},{"id":"W4395446154","doi":"10.1007/s00220-024-04973-0","title":"A Q-Operator for Open Spin Chains II: Boundary Factorization","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Centre de Recherches Mathématiques; Simons Foundation","keywords":"Factorization; Operator (biology); Diagonal; Mathematics; Pure mathematics; Affine transformation; Yang–Baxter equation; Operator algebra; Boundary (topology); Mathematical physics; Quantum mechanics; Physics; Quantum; Mathematical analysis; Algorithm; Chemistry; Geometry","score_opus":0.1374368740669798,"score_gpt":0.4258399459154599,"score_spread":0.28840307184848013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395446154","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03397966,0.0013088654,0.9388859,0.0040846677,0.0009301326,0.004291103,0.00009497442,0.00049968733,0.01592496],"genre_scores_gemma":[0.933681,0.000048478334,0.064583935,0.0000973909,0.00017080053,0.00065524795,0.000050622148,0.000067069355,0.0006454712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987384,0.00008421364,0.0004892367,0.00026788487,0.00018137805,0.00023889654],"domain_scores_gemma":[0.99714774,0.0010742573,0.00007069262,0.0015484103,0.00009643235,0.000062441206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004184687,0.00019636693,0.00034900257,0.000058864996,0.0003775857,0.00036293172,0.0016315035,0.00011302795,0.000055194316],"category_scores_gemma":[0.00045010922,0.00017371472,0.00011392971,0.00041812932,0.00014229555,0.0003483115,0.0010702605,0.0002908153,0.000023117798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058626542,0.00027232667,0.0000054818033,0.0002267934,0.000033718574,3.2749705e-7,0.0017636529,0.000005141228,0.000063984364,0.9935051,0.0010718887,0.003045699],"study_design_scores_gemma":[0.00030425715,0.000051936815,0.000006458058,0.0002766665,0.00003683742,0.0000015436436,0.00013404951,0.032213297,0.00016245541,0.9610305,0.005583282,0.00019874291],"about_ca_topic_score_codex":0.0000052843925,"about_ca_topic_score_gemma":0.0000072363164,"teacher_disagreement_score":0.8997013,"about_ca_system_score_codex":0.000143753,"about_ca_system_score_gemma":0.00016735352,"threshold_uncertainty_score":0.7083881},"labels":[],"label_agreement":null},{"id":"W4395667466","doi":"10.1090/btran/181","title":"Cohomology operations for moment-angle complexes and resolutions of Stanley–Reisner rings","year":2024,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society Series B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"European Commission; National Science Foundation","keywords":"Moment (physics); Cohomology; Mathematics; Pure mathematics; Algebra over a field; Geometry; Computer science; Physics; Classical mechanics","score_opus":0.023776455697830184,"score_gpt":0.296741092437602,"score_spread":0.2729646367397718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395667466","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47758102,0.00016104396,0.51851666,0.0026033686,0.00016355993,0.00055638206,0.0001558834,0.000077707824,0.00018436553],"genre_scores_gemma":[0.94445467,0.000042719555,0.054513916,0.00004236907,0.000027519916,0.00008967777,0.0000016570255,0.000025580559,0.00080189813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990715,0.000039752118,0.00037567783,0.00016741888,0.00017084634,0.00017479724],"domain_scores_gemma":[0.9989417,0.00054229813,0.0000891611,0.00029408533,0.00008839759,0.00004431049],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016012067,0.00013434327,0.0004047531,0.000023796805,0.00023088169,0.000024615962,0.00018277115,0.0000482826,0.00008689364],"category_scores_gemma":[0.00005345125,0.00009391118,0.00033333513,0.0002662787,0.0010779753,0.000103190214,0.000027421302,0.00012922393,6.216768e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023566225,0.00009427996,0.000006881891,0.000500967,0.00026895534,7.32342e-8,0.0024208422,0.00014510856,0.0022746234,0.993469,0.0005803024,0.00021538894],"study_design_scores_gemma":[0.00020354133,0.00023558212,0.000066132015,0.0000902238,0.00029617982,0.000018515659,0.0025055427,0.0047181197,0.0029389595,0.9881727,0.00062696746,0.00012754492],"about_ca_topic_score_codex":0.00006573009,"about_ca_topic_score_gemma":0.00001690104,"teacher_disagreement_score":0.46687365,"about_ca_system_score_codex":0.000035668058,"about_ca_system_score_gemma":0.00005349,"threshold_uncertainty_score":0.39718446},"labels":[],"label_agreement":null},{"id":"W4395955255","doi":"10.1007/s13398-024-01602-2","title":"Modular differential equations and algebraic systems","year":2024,"lang":"es","type":"article","venue":"Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Modular design; Differential algebraic geometry; Algebraic number; Differential (mechanical device); Mathematics; Algebra over a field; Computer science; Differential algebraic equation; Differential equation; Pure mathematics; Programming language; Physics; Mathematical analysis; Ordinary differential equation; Thermodynamics","score_opus":0.014596921331158239,"score_gpt":0.30532371038963907,"score_spread":0.2907267890584808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395955255","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94305176,0.04737724,0.0039656707,0.0007674137,0.00096165156,0.0013001639,0.00019809876,0.0006662487,0.0017117352],"genre_scores_gemma":[0.9869817,0.010055264,0.00048109915,0.00012657068,0.0013510567,0.00013137297,0.000049194732,0.00021142646,0.0006123478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99365634,0.0011037803,0.0013608419,0.001316977,0.0010734777,0.0014885773],"domain_scores_gemma":[0.9942003,0.003572315,0.00041757312,0.00082952366,0.00018386058,0.00079641124],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.0015760026,0.0010183705,0.0013158933,0.00039283145,0.0005295014,0.0036699155,0.00093815377,0.0025236534,0.00015392184],"category_scores_gemma":[0.001309716,0.000882953,0.0004413233,0.0009770696,0.00073131965,0.00074070215,0.000561822,0.0036280788,0.00006120655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068071364,0.00007717426,0.00021180522,0.004398964,0.00038645117,0.00033579918,0.0014311352,0.000033997985,0.00757404,0.98285383,0.0010452787,0.001583449],"study_design_scores_gemma":[0.0021467956,0.0006433006,0.009244193,0.011248604,0.0043700445,0.003748391,0.0015537807,0.23424807,0.0014940061,0.6684486,0.058635946,0.004218223],"about_ca_topic_score_codex":0.0001623187,"about_ca_topic_score_gemma":0.0000011401488,"teacher_disagreement_score":0.3144052,"about_ca_system_score_codex":0.001056294,"about_ca_system_score_gemma":0.00068627205,"threshold_uncertainty_score":0.9993621},"labels":[],"label_agreement":null},{"id":"W4396228577","doi":"10.4153/s0008439524000274","title":"Pieri rules for skew dual immaculate functions","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Skew; Dual (grammatical number); Action (physics); Extension (predicate logic); Combinatorics; Pure mathematics; Discrete mathematics; Linguistics; Computer science; Philosophy; Physics","score_opus":0.02868073870479306,"score_gpt":0.28073852211558425,"score_spread":0.2520577834107912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396228577","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64216775,0.0026323039,0.16150342,0.050414547,0.008528442,0.005216781,0.0011823481,0.00194513,0.12640929],"genre_scores_gemma":[0.9607054,0.00000721624,0.011211287,0.0005902934,0.0010364378,0.00034153656,0.000050295785,0.0001589264,0.025898578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853706,0.000027168973,0.00036264528,0.00034231812,0.0001938975,0.00053688633],"domain_scores_gemma":[0.99840075,0.00067470677,0.000032801883,0.00033407338,0.000068474175,0.00048917235],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002701664,0.00023608925,0.00031169556,0.00014028199,0.0002165982,0.00020101885,0.00017196278,0.00017677015,0.011932813],"category_scores_gemma":[0.00050643686,0.0002001603,0.00023152315,0.00012371963,0.00008106856,0.00003339907,0.00003103697,0.00019960325,0.004260188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005012263,0.000012893208,5.669585e-7,0.00029049878,0.00006709865,0.000025056426,0.00016720644,9.0588065e-7,0.000009977527,0.8978258,0.100705035,0.0008899968],"study_design_scores_gemma":[0.0001423021,0.000033539505,0.0000035439564,0.00011062463,0.000078346064,0.00003940963,0.00006730425,0.0005189938,0.00002017818,0.7622535,0.23653837,0.0001938629],"about_ca_topic_score_codex":0.00020797603,"about_ca_topic_score_gemma":0.0001887273,"teacher_disagreement_score":0.31853768,"about_ca_system_score_codex":0.00016894341,"about_ca_system_score_gemma":0.0002671936,"threshold_uncertainty_score":0.9965151},"labels":[],"label_agreement":null},{"id":"W4396572108","doi":"10.1080/00927872.2024.2345275","title":"Whittaker vectors in singular Whittaker modules","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Mitacs; Université Laval","keywords":"Mathematics; Subalgebra; Corollary; Dimension (graph theory); Pure mathematics; Bounded function; Simple (philosophy); Lie algebra; Algebra over a field; Space (punctuation); Mathematical analysis","score_opus":0.06579368941789554,"score_gpt":0.351390825840697,"score_spread":0.28559713642280143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396572108","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97414917,0.008582092,0.0010127621,0.0029788935,0.0009691665,0.0005108264,0.0000056291724,0.00032403003,0.011467433],"genre_scores_gemma":[0.9916482,0.00025204816,0.007521472,0.00008196909,0.00006223512,0.00010211229,0.00001433075,0.000051647934,0.0002659607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984996,0.00019223818,0.0005074097,0.00029997542,0.00020664003,0.0002941593],"domain_scores_gemma":[0.9972404,0.0006253717,0.000054083197,0.0019819953,0.000044067423,0.000054086053],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004312038,0.0002018973,0.0002787913,0.00032291567,0.000099487916,0.00012349636,0.0010246703,0.00016418095,0.00012461076],"category_scores_gemma":[0.00030193766,0.00019458479,0.00009503037,0.00084184855,0.00014392535,0.00020250918,0.00039813571,0.000571071,0.00004690536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040846894,0.00010134565,0.0011626296,0.000047216323,0.000021846254,0.000007713783,0.0014857579,0.000016378943,0.00003905334,0.99223685,0.0008782191,0.0039989166],"study_design_scores_gemma":[0.0002539443,0.000014389343,0.0029426003,0.00026712255,0.000016629856,0.000006830089,0.00019835912,0.0044157566,0.00007965745,0.9835933,0.007988338,0.00022308937],"about_ca_topic_score_codex":0.00007790418,"about_ca_topic_score_gemma":0.00032688433,"teacher_disagreement_score":0.017499056,"about_ca_system_score_codex":0.00018812991,"about_ca_system_score_gemma":0.000079991754,"threshold_uncertainty_score":0.79349375},"labels":[],"label_agreement":null},{"id":"W4396723964","doi":"10.1007/s00209-024-03507-7","title":"Filtered deformations of commutative algebras of Krull dimension two","year":2024,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Krull dimension; Global dimension; Commutative property; Pure mathematics; Dimension (graph theory); Commutative algebra; Dimension theory (algebra); Algebra over a field; Noetherian","score_opus":0.026452037666452006,"score_gpt":0.3084575585273314,"score_spread":0.28200552086087943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396723964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8522796,0.03981167,0.061790057,0.0009063752,0.008267489,0.0034390476,0.0015494754,0.00060329103,0.031353008],"genre_scores_gemma":[0.98563176,0.00021009851,0.013200884,0.00003358931,0.00026702057,0.000046300924,0.00008868625,0.0001348856,0.00038677268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957557,0.0003027517,0.0019813543,0.0004942339,0.000927611,0.000538359],"domain_scores_gemma":[0.9956891,0.0017185166,0.00086261233,0.001147355,0.0004027911,0.0001796379],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00083440036,0.00063691573,0.0013697108,0.00038377132,0.0001722282,0.00011755403,0.00066412584,0.00034643218,0.0011857918],"category_scores_gemma":[0.00046954333,0.0005286333,0.00058971427,0.00074677606,0.00035471786,0.00044694453,0.00047756682,0.00063979754,0.0003168095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000484771,0.00030965774,0.000018909714,0.0049210237,0.0010908613,0.00001439077,0.018043235,0.000090051304,0.0019550172,0.96845394,0.0038407806,0.0012136596],"study_design_scores_gemma":[0.0016821687,0.0004675565,0.0000498011,0.005768269,0.001716709,0.00004934462,0.001832843,0.016838215,0.056865588,0.9087889,0.0051346654,0.0008058961],"about_ca_topic_score_codex":0.00011816873,"about_ca_topic_score_gemma":0.00000973797,"teacher_disagreement_score":0.13335218,"about_ca_system_score_codex":0.000020695144,"about_ca_system_score_gemma":0.00027268825,"threshold_uncertainty_score":0.99972725},"labels":[],"label_agreement":null},{"id":"W4396768810","doi":"10.1016/j.jalgebra.2024.04.019","title":"The Hochschild cohomology ring of monomial algebras","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Technion-Israel Institute of Technology; Consejo Nacional de Investigaciones Científicas y Técnicas; Deutsche Forschungsgemeinschaft; Bundesministerium für Bildung und Forschung; Pacific Institute for the Mathematical Sciences; Alexander von Humboldt-Stiftung; Simons Foundation","keywords":"Mathematics; Monomial; Cohomology ring; Ring (chemistry); Path (computing); Cohomology; Pure mathematics; Equivariant cohomology; Algebra over a field; Computer science; Chemistry; Organic chemistry","score_opus":0.019613790605557867,"score_gpt":0.2929395519582881,"score_spread":0.27332576135273023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396768810","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9892549,0.0033989986,0.0012485543,0.00081467663,0.004192924,0.000099025674,0.0000016169996,0.000023627475,0.000965703],"genre_scores_gemma":[0.9976265,0.00016374077,0.0006904696,0.000037122365,0.0013161983,0.0000016642726,1.7901327e-7,0.000028282127,0.00013584681],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848086,0.0000879354,0.00075606146,0.00011721326,0.00033499484,0.00022295429],"domain_scores_gemma":[0.99812233,0.0010240591,0.0003909035,0.00023945732,0.00014238854,0.00008084917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072181976,0.00014759065,0.00037066735,0.0001105224,0.00010978461,0.00008091611,0.0004350975,0.000112764865,0.000055930686],"category_scores_gemma":[0.00032757502,0.00008918335,0.00030150943,0.00015775299,0.000120240606,0.00014755335,0.00008587138,0.00044706932,0.0000055642063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081795115,0.000024593268,0.000097434706,0.000049937684,0.00029256297,0.000038233105,0.0004003366,0.000013572363,0.0002683511,0.9917507,0.003553516,0.0034289716],"study_design_scores_gemma":[0.00038082257,0.00022021981,0.00038266875,0.00011634614,0.00011402818,0.00027827302,0.00011875899,0.00015175687,0.002517974,0.9924915,0.0031310811,0.00009656272],"about_ca_topic_score_codex":0.000006259094,"about_ca_topic_score_gemma":0.0000031894103,"teacher_disagreement_score":0.008371623,"about_ca_system_score_codex":0.00005499348,"about_ca_system_score_gemma":0.00017568664,"threshold_uncertainty_score":0.36367914},"labels":[],"label_agreement":null},{"id":"W4396851885","doi":"10.1016/j.aim.2024.109705","title":"Infinitely many commensurability classes of compact Coxeter polyhedra in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">H</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.svg\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">H</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msup></mml:math>","year":2024,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Canada Research Chairs; University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Polyhedron; Mathematics; Coxeter group; Commensurability (mathematics); Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.024972006231990432,"score_gpt":0.2692032468731882,"score_spread":0.24423124064119778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396851885","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5622839,0.0037559592,0.0017753993,0.0011178985,0.0059422525,0.00019287955,0.0013264373,0.0006523202,0.42295298],"genre_scores_gemma":[0.9702324,0.004541207,0.012265442,0.0017284555,0.003189873,0.0027328562,0.0023099899,0.0024335943,0.00056616677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.975372,0.0012226206,0.0066004493,0.0045643244,0.0062609087,0.0059796534],"domain_scores_gemma":[0.97708064,0.007205103,0.006108104,0.0065620076,0.0005549572,0.0024891808],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0051596262,0.0029459796,0.0015037444,0.0016890115,0.0028375024,0.0041421438,0.005857083,0.0060381545,0.33610287],"category_scores_gemma":[0.0042071827,0.0052418765,0.0041438653,0.0033423638,0.00499984,0.0048576146,0.00552177,0.0053657964,0.0027871095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003782522,0.0011754498,0.0000334406,0.008935161,0.0036679388,0.003979752,0.0074298955,0.0027042523,0.0012559023,0.85915977,0.10532708,0.002548853],"study_design_scores_gemma":[0.0069683106,0.003680769,0.00014441359,0.0061029484,0.0043455055,0.0062537696,0.007847276,0.31133896,0.6370413,0.0042493017,0.0071321623,0.0048953085],"about_ca_topic_score_codex":0.0027393098,"about_ca_topic_score_gemma":0.002432548,"teacher_disagreement_score":0.85491043,"about_ca_system_score_codex":0.00009056215,"about_ca_system_score_gemma":0.0040294225,"threshold_uncertainty_score":0.99952173},"labels":[],"label_agreement":null},{"id":"W4396884524","doi":"10.1007/s00029-024-00936-4","title":"A rim-hook rule for quiver flag varieties","year":2024,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Flag (linear algebra); Hook; Quiver; Mathematics; Engineering; Structural engineering; Pure mathematics; Algebra over a field","score_opus":0.03189149731824175,"score_gpt":0.31279158302129184,"score_spread":0.2809000857030501,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396884524","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42362317,0.0043519973,0.44141322,0.0035449117,0.0073877894,0.0061687366,0.00011675313,0.0047344556,0.108658955],"genre_scores_gemma":[0.96062386,0.000016405054,0.028906653,0.00011066268,0.00060243096,0.0003105201,0.000008090779,0.0001400396,0.009281316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984783,0.000032458553,0.0003803447,0.00036616495,0.00031451386,0.00042820134],"domain_scores_gemma":[0.9983858,0.0009521135,0.00006557069,0.0004042302,0.00010181955,0.00009049546],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031100077,0.0002685799,0.0003902734,0.00009580488,0.0001517599,0.00021306863,0.00029860958,0.00015468168,0.0005934618],"category_scores_gemma":[0.00038946842,0.00021233108,0.00023802575,0.00022814829,0.00006051971,0.00015162757,0.000075926444,0.00018392604,0.00013421236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018406205,0.000048252456,9.2828793e-7,0.0009622341,0.00013581612,0.0000037340058,0.0019266846,4.7411655e-7,0.00023241687,0.9697153,0.026424829,0.0005309298],"study_design_scores_gemma":[0.00025334104,0.00009867026,0.000001660268,0.0001396224,0.00014433655,0.000023181772,0.00012234152,0.0025682286,0.0019892314,0.98667264,0.00771881,0.00026795446],"about_ca_topic_score_codex":0.0000044449002,"about_ca_topic_score_gemma":0.0000021265182,"teacher_disagreement_score":0.5370007,"about_ca_system_score_codex":0.00006786765,"about_ca_system_score_gemma":0.00012991329,"threshold_uncertainty_score":0.86586106},"labels":[],"label_agreement":null},{"id":"W4399123855","doi":"10.1103/physrevd.109.l101905","title":"One-loop Bern-Carrasco-Johansson numerators on quadratic propagators from the worldsheet","year":2024,"lang":"en","type":"article","venue":"Physical review. D/Physical review. D.","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Government of Canada; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada","keywords":"Worldsheet; Mathematical physics; Quadratic equation; Physics; Loop (graph theory); Mathematics; Combinatorics; Geometry; String theory","score_opus":0.03308190767496383,"score_gpt":0.4264234449003649,"score_spread":0.39334153722540105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399123855","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8491585,0.12811458,0.00009545463,0.011742696,0.0016772733,0.0043397667,0.00009907516,0.00057890074,0.004193723],"genre_scores_gemma":[0.9420863,0.046026777,0.000121265824,0.0066809393,0.0038569982,0.0007701393,0.00005542557,0.0002250364,0.00017713485],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99412,0.0008251481,0.0011497305,0.001330257,0.0017239214,0.0008509534],"domain_scores_gemma":[0.9937465,0.003359582,0.00038602037,0.0018951949,0.00017362219,0.0004390445],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006698824,0.0009887754,0.002378184,0.000049851347,0.00028630867,0.00023899357,0.0012565203,0.00010095377,0.0001617967],"category_scores_gemma":[0.0019064036,0.0006103622,0.0015965566,0.0013451283,0.0002202807,0.00031235075,0.00028385632,0.0014589436,0.0015173103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024370382,0.00071127486,0.0000713614,0.008136856,0.00041439655,0.000017450262,0.00029568546,0.0000016791419,0.000969733,0.9234448,0.03568065,0.030231744],"study_design_scores_gemma":[0.00023942324,0.00024604055,0.00013008463,0.03252682,0.0016296532,0.0000024080584,0.000012645828,0.000607264,0.0018432641,0.92865604,0.033304505,0.00080182345],"about_ca_topic_score_codex":0.000057421374,"about_ca_topic_score_gemma":0.000007733896,"teacher_disagreement_score":0.092927754,"about_ca_system_score_codex":0.00021635125,"about_ca_system_score_gemma":0.00022008612,"threshold_uncertainty_score":0.9996348},"labels":[],"label_agreement":null},{"id":"W4399143086","doi":"10.1016/j.jalgebra.2024.05.030","title":"Generalized Kauer moves and derived equivalences of Brauer graph algebras","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre National de la Recherche Scientifique; Université de Sherbrooke","keywords":"Mathematics; Graph; Brauer group; Combinatorics; Pure mathematics; Discrete mathematics","score_opus":0.029282160906668655,"score_gpt":0.3016467944547122,"score_spread":0.2723646335480436,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399143086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9883665,0.008428551,0.0010192229,0.0004636237,0.0013300618,0.000097023265,0.000003527496,0.000027390666,0.0002641094],"genre_scores_gemma":[0.99449074,0.000778416,0.0040799812,0.000084243344,0.00041971446,0.0000018328006,3.9526785e-7,0.000031949196,0.000112738875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983114,0.00008348494,0.00074044603,0.00017269714,0.00047774476,0.00021425314],"domain_scores_gemma":[0.998771,0.00038023308,0.00036684223,0.00018279906,0.00017049987,0.00012863745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041180337,0.00020272743,0.0005179054,0.00024435655,0.00005323726,0.000092496746,0.00025830363,0.00012225064,0.00022601537],"category_scores_gemma":[0.00017361586,0.00014241699,0.00027712842,0.00024361022,0.00014611732,0.0003133506,0.000080923666,0.00025829393,0.0000016039631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000873678,0.000050529485,0.0002742303,0.0003072208,0.0004591058,0.000054198066,0.0013969879,0.000005792156,0.009532445,0.9816207,0.0031221341,0.0030892312],"study_design_scores_gemma":[0.0005849684,0.00021741583,0.0005199525,0.0002836665,0.00018241053,0.00016390427,0.00016936814,0.000068190726,0.011067867,0.9862181,0.0003663157,0.00015787434],"about_ca_topic_score_codex":0.000010138284,"about_ca_topic_score_gemma":0.000001916046,"teacher_disagreement_score":0.0076501356,"about_ca_system_score_codex":0.000020920363,"about_ca_system_score_gemma":0.00010609231,"threshold_uncertainty_score":0.58075964},"labels":[],"label_agreement":null},{"id":"W4399202206","doi":"10.1093/imrn/rnae115","title":"Fundamental Monopole Operators and Embeddings of Kac-Moody Affine Grassmannian Slices","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Affine transformation; Mathematics; Grassmannian; Magnetic monopole; Pure mathematics; Type (biology); Coulomb; Algebraic number; Algebra over a field; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.11691834478286353,"score_gpt":0.45650888689879515,"score_spread":0.33959054211593165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399202206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98826885,0.00047839605,0.00029385425,0.00093293894,0.0007903635,0.0003099697,0.00003186507,0.00008302724,0.008810742],"genre_scores_gemma":[0.98947,0.00006839018,0.008675126,0.000013447106,0.00028039387,0.000035015586,0.0000056211716,0.000041589345,0.0014104255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99760437,0.00006722373,0.00048900436,0.000334233,0.0011956901,0.00030944988],"domain_scores_gemma":[0.99781364,0.0014094043,0.00010082069,0.0002530266,0.0003075038,0.00011560116],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010318652,0.00018828208,0.00028383307,0.00040496292,0.0001237163,0.00045044968,0.00057471846,0.00009886998,0.0004694191],"category_scores_gemma":[0.00062006805,0.00015066368,0.00008838699,0.00027426812,0.00025364244,0.0003679752,0.00037183554,0.00034018335,0.000028447655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000186566,0.00015528612,0.00019728925,0.00065647496,0.00023770113,0.000015087115,0.0034462472,0.000010662294,0.0015109357,0.9917604,0.0011023659,0.000888914],"study_design_scores_gemma":[0.0002996089,0.0001410041,0.000113165464,0.00053599966,0.000034328816,0.000016924378,0.002408629,0.021729294,0.0043123476,0.96773094,0.0024883023,0.00018946694],"about_ca_topic_score_codex":0.00008611879,"about_ca_topic_score_gemma":0.000022244609,"teacher_disagreement_score":0.02402945,"about_ca_system_score_codex":0.00009519697,"about_ca_system_score_gemma":0.00007797261,"threshold_uncertainty_score":0.61438864},"labels":[],"label_agreement":null},{"id":"W4399477957","doi":"10.1007/978-3-031-57204-3_10","title":"The $$SO(4)$$ Verlinde Formula Using Real Polarizations","year":2024,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Theoretical physics; Physics","score_opus":0.12168746468538022,"score_gpt":0.3568077893515978,"score_spread":0.23512032466621757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399477957","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00011561007,0.0031770293,0.0045125466,0.0027299759,0.00324458,0.0006774455,0.00008995071,0.00028245067,0.9851704],"genre_scores_gemma":[0.111466244,0.013298541,0.015355365,0.0003588512,0.0014668918,0.000117493415,0.0004122783,0.00029309644,0.85723126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986962,0.000023142344,0.00053561246,0.0002472162,0.00027059123,0.00022720857],"domain_scores_gemma":[0.9958255,0.0005190415,0.0002282144,0.0031843912,0.00016806196,0.000074765165],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00016548783,0.0003077894,0.00029653788,0.00009535262,0.0017050836,0.00027700563,0.0017031874,0.0005803183,0.000060908485],"category_scores_gemma":[0.00011605066,0.00024232143,0.00025200096,0.00007763802,0.00044946576,0.00013482063,0.0010138961,0.0011909138,0.000048759302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000029338576,0.000010138473,6.340503e-7,0.000028839417,0.00015756387,0.0000018149742,0.00037441545,0.000016168102,0.0000015020056,0.9968625,0.0017222506,0.00082128483],"study_design_scores_gemma":[0.000060948954,0.000010101171,5.062853e-7,0.00013422796,0.0001700147,0.000007698746,0.00001635604,0.00072068424,0.0000016210356,0.6135462,0.3851695,0.0001621799],"about_ca_topic_score_codex":0.00020384057,"about_ca_topic_score_gemma":0.0016564629,"teacher_disagreement_score":0.38344723,"about_ca_system_score_codex":0.00015547195,"about_ca_system_score_gemma":0.000385194,"threshold_uncertainty_score":0.99959457},"labels":[],"label_agreement":null},{"id":"W4399567703","doi":"10.1007/s40879-024-00748-y","title":"Quandle coloring quivers and 2-bridge links","year":2024,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Quiver; Bridge (graph theory); Categorification; Invariant (physics); Dihedral angle; Mathematics; Pure mathematics; Computer science; Chemistry; Organic chemistry; Biology; Molecule","score_opus":0.0599516299144472,"score_gpt":0.29555401144390586,"score_spread":0.23560238152945867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399567703","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97951907,0.0009669051,0.013101202,0.00018666348,0.0011883944,0.00008132164,0.0000018402444,0.00005639929,0.004898226],"genre_scores_gemma":[0.97911435,0.00011036714,0.019942211,0.000028706596,0.00048284075,3.0300612e-7,1.5343592e-7,0.0000518743,0.00026919277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988281,0.00009764395,0.0005361193,0.000105404026,0.0002792255,0.00015351403],"domain_scores_gemma":[0.9990829,0.00034749118,0.00022294106,0.00015378062,0.000081852726,0.00011103711],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011068882,0.000145436,0.00027803922,0.00010308894,0.000062626044,0.00014155233,0.00020745354,0.000042193566,0.000039662697],"category_scores_gemma":[0.00028152956,0.000107778615,0.00012096457,0.00009940979,0.000049724888,0.00014010376,0.00008313772,0.00044923145,0.000019401292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013050807,0.000060014507,0.00002383708,0.00054164836,0.00016987952,0.00044808612,0.0068924464,0.000010019297,0.00014890345,0.9850171,0.0037056839,0.0029693202],"study_design_scores_gemma":[0.00071490643,0.00041243873,0.00018867232,0.0010928522,0.00024147752,0.0010147535,0.0011752398,0.0015904129,0.0002872454,0.98613113,0.006881069,0.0002698256],"about_ca_topic_score_codex":4.8122763e-7,"about_ca_topic_score_gemma":1.9607197e-7,"teacher_disagreement_score":0.0068410086,"about_ca_system_score_codex":0.00003050529,"about_ca_system_score_gemma":0.000037603084,"threshold_uncertainty_score":0.43950844},"labels":[],"label_agreement":null},{"id":"W4399623957","doi":"10.4171/jems/1489","title":"Quantum $\\operatorname{SL}(2)$ and logarithmic vertex operator algebras at $(p,1)$-central charge","year":2024,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Central charge; Vertex (graph theory); Logarithm; Operator algebra; Quantum; Operator (biology); Vertex operator algebra; Pure mathematics; Charge (physics); Mathematical physics; Combinatorics; Discrete mathematics; Algebra over a field; Mathematical analysis; Quantum mechanics; Current algebra; Jordan algebra; Physics; Conformal map","score_opus":0.02009765836586002,"score_gpt":0.2593497137989447,"score_spread":0.2392520554330847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399623957","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99052274,0.0013405584,0.0017698504,0.0017219719,0.0021380924,0.0002703971,0.000008887946,0.00007704758,0.002150465],"genre_scores_gemma":[0.9954875,0.00013973584,0.0018810524,0.00039661457,0.00085774384,0.0000017604436,3.8977944e-7,0.00009523073,0.0011399427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976272,0.00033429076,0.00077834725,0.0002451932,0.00060452154,0.00041047664],"domain_scores_gemma":[0.99861467,0.0004354438,0.00022627416,0.00036301606,0.000106043924,0.00025458014],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013390926,0.0002973579,0.00048361396,0.00002673593,0.00028817137,0.00026769796,0.0005933583,0.000103957245,0.0003674353],"category_scores_gemma":[0.0004243837,0.00016492038,0.0006594998,0.00018158091,0.00019904546,0.00019872432,0.00045038364,0.0006819511,0.000079822225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022506818,0.00013594075,0.00007789021,0.0005065599,0.00046513966,0.00006922659,0.00436893,0.000002913899,0.001994238,0.9375793,0.05415448,0.000622908],"study_design_scores_gemma":[0.0008932385,0.00013532564,0.00040849173,0.00076018757,0.00034323867,0.0008620823,0.00028433756,0.0043554823,0.000816578,0.9842728,0.0065022632,0.0003659994],"about_ca_topic_score_codex":6.578067e-7,"about_ca_topic_score_gemma":1.9848244e-7,"teacher_disagreement_score":0.04765222,"about_ca_system_score_codex":0.00019613124,"about_ca_system_score_gemma":0.00009062378,"threshold_uncertainty_score":0.67252576},"labels":[],"label_agreement":null},{"id":"W4399778101","doi":"10.1016/j.aim.2024.109791","title":"Quadratic duality for chiral algebras","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"National Key Research and Development Program of China; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Tsinghua University; Government of Canada; Ministry of Colleges and Universities","keywords":"Mathematics; Duality (order theory); Quadratic equation; Pure mathematics; Quadratic algebra; Strong duality; Algebra over a field; Mathematical optimization; Jordan algebra; Optimization problem; Geometry; Algebra representation","score_opus":0.03399641013603276,"score_gpt":0.3685055454519619,"score_spread":0.33450913531592913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399778101","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.525615,0.0194963,0.40526924,0.0010281849,0.0092405025,0.004119177,0.000077660115,0.0014130635,0.03374092],"genre_scores_gemma":[0.8806209,0.00020784512,0.11681545,0.00007208352,0.00042232816,0.00027387374,0.0000073784076,0.00009263584,0.0014874819],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985141,0.000030343883,0.000561438,0.0003037761,0.00025954156,0.00033076497],"domain_scores_gemma":[0.9980622,0.0013841838,0.00009190656,0.0003687953,0.000039659255,0.000053268963],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045915952,0.00022731312,0.0003896153,0.00009236533,0.00006533356,0.00008488132,0.00025467813,0.00010352715,0.00008332982],"category_scores_gemma":[0.00055147306,0.00018439321,0.00014397355,0.0002476786,0.00006418496,0.0003464191,0.000054949815,0.00017687204,0.000016898937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000069533207,0.000069528905,0.00001738431,0.0015880107,0.000020890991,0.0000052128894,0.0014486259,0.000027022856,0.000009763344,0.993501,0.0002583181,0.0030472828],"study_design_scores_gemma":[0.00028231245,0.00004927447,0.000007958273,0.00030079376,0.00003813503,0.000010278017,0.00034085786,0.00760328,0.00021455075,0.987224,0.003701504,0.00022704646],"about_ca_topic_score_codex":0.0000012441285,"about_ca_topic_score_gemma":0.000012902433,"teacher_disagreement_score":0.35500595,"about_ca_system_score_codex":0.00007205954,"about_ca_system_score_gemma":0.00004977736,"threshold_uncertainty_score":0.7519337},"labels":[],"label_agreement":null},{"id":"W4399794395","doi":"10.48550/arxiv.2406.10634","title":"Tilting mutations as generalized Kauer moves for (skew) Brauer graph algebras with multiplicity","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre National de la Recherche Scientifique; Mitacs","keywords":"Mathematics; Graph; Skew; Multiplicity (mathematics); Pure mathematics; Combinatorics; Discrete mathematics; Physics; Mathematical analysis","score_opus":0.08195499073261331,"score_gpt":0.23819055419190246,"score_spread":0.15623556345928916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399794395","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9533395,0.00010608212,0.041884515,0.00009414038,0.0009284812,0.0011708213,0.000079923135,0.00039179646,0.0020047114],"genre_scores_gemma":[0.99048406,0.000036343703,0.0052054855,0.000093297385,0.00027247999,0.000020595184,0.000055027802,0.00011761338,0.0037150977],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784636,0.00008597231,0.0003313813,0.0011225217,0.00015473053,0.00045905012],"domain_scores_gemma":[0.99795556,0.00043999532,0.0003226057,0.000825537,0.00027309917,0.00018321894],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017535151,0.00054565934,0.0006018964,0.0002742589,0.00028733714,0.00013305446,0.00058753684,0.00046049536,0.000100160265],"category_scores_gemma":[0.00013678588,0.0005122723,0.00047376708,0.0004032457,0.00015674825,0.00009865447,0.000765817,0.0006821363,0.000026412723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016817675,0.000074272175,0.00017638298,0.00042104474,0.0005773877,0.00006725125,0.00053493364,0.011753986,0.000040944713,0.98549426,0.00061819435,0.00007314033],"study_design_scores_gemma":[0.0012724405,0.00007576302,0.0000563338,0.00021683738,0.00072777213,0.0000065106196,0.00021747191,0.022745937,0.00038593073,0.97349745,0.00017951106,0.00061803026],"about_ca_topic_score_codex":0.0003509365,"about_ca_topic_score_gemma":0.00012410631,"teacher_disagreement_score":0.03714453,"about_ca_system_score_codex":0.00016881607,"about_ca_system_score_gemma":0.00024403758,"threshold_uncertainty_score":0.9997329},"labels":[],"label_agreement":null},{"id":"W4400316871","doi":"10.1016/j.jalgebra.2024.06.023","title":"A new class of simple smooth modules over the affine algebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:math>","year":2024,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Simple (philosophy); Affine transformation; Class (philosophy); Isomorphism (crystallography); Simple module; Algebra over a field; Discrete mathematics; Pure mathematics; Computer science; Artificial intelligence","score_opus":0.01776443027453831,"score_gpt":0.24848915411069206,"score_spread":0.23072472383615375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400316871","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76755136,0.006450278,0.0018655409,0.0023637894,0.008294586,0.00015383105,0.0011163286,0.00050875585,0.21169554],"genre_scores_gemma":[0.9774839,0.0036848178,0.0037509303,0.002410683,0.007839367,0.0009377611,0.0011471913,0.0021689748,0.00057634886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.97769326,0.0012473196,0.005637751,0.0034034501,0.006945578,0.0050726286],"domain_scores_gemma":[0.9806709,0.0048332135,0.0063538165,0.0045245085,0.0007177082,0.0028998093],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.004770864,0.0023747724,0.0012172556,0.0015390223,0.002617348,0.0040122364,0.006113603,0.005387854,0.46664977],"category_scores_gemma":[0.004216359,0.0039675073,0.0057335002,0.0030634888,0.0031118037,0.003455293,0.0043473206,0.005418098,0.002087946],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021628893,0.0005512719,0.000015034113,0.0020312462,0.0046887924,0.002155798,0.0036173307,0.0016229204,0.0016229503,0.5777036,0.39922404,0.004604136],"study_design_scores_gemma":[0.005347919,0.004664784,0.00017703327,0.004433953,0.006548685,0.0047896947,0.005786308,0.042652935,0.8898488,0.018457022,0.013200761,0.0040920633],"about_ca_topic_score_codex":0.0030312785,"about_ca_topic_score_gemma":0.0022326272,"teacher_disagreement_score":0.8882259,"about_ca_system_score_codex":0.00008515831,"about_ca_system_score_gemma":0.005183669,"threshold_uncertainty_score":0.9996012},"labels":[],"label_agreement":null},{"id":"W4400780334","doi":"10.1007/s00208-024-02942-5","title":"Degenerations of Grassmannians via lattice configurations II","year":2024,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Becton Dickinson (Canada)","funders":"","keywords":"Mathematics; Lattice (music); Pure mathematics; Combinatorics; Physics","score_opus":0.035038915030587744,"score_gpt":0.3001172995003406,"score_spread":0.26507838446975285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400780334","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42988396,0.09374079,0.38580954,0.014610549,0.017695768,0.004617377,0.0013767243,0.0015286477,0.05073665],"genre_scores_gemma":[0.9778164,0.00045947326,0.009804324,0.00011683831,0.00137441,0.00011121195,0.00008097244,0.00015188268,0.010084475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971081,0.00014076696,0.0011339564,0.0005334189,0.0006088828,0.0004748644],"domain_scores_gemma":[0.9977366,0.00058754755,0.00030195233,0.00088579074,0.00031143273,0.00017671197],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047420544,0.0004822964,0.00071739627,0.00024860483,0.00045186712,0.00022945812,0.00048650822,0.00036060254,0.0018643875],"category_scores_gemma":[0.00022807861,0.0004377875,0.0004256898,0.0005913889,0.00018541118,0.00034246346,0.00020682826,0.0004715375,0.00058339175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009208907,0.00025557296,0.0000037058437,0.0016064488,0.00087704224,0.000020808846,0.007754478,0.00003416248,0.0018434952,0.9574778,0.027724542,0.0023927062],"study_design_scores_gemma":[0.00031837355,0.00022730857,0.000018074372,0.0009537282,0.0012742892,0.000038187965,0.00026211893,0.020470204,0.00709839,0.93286484,0.035947844,0.0005266356],"about_ca_topic_score_codex":0.000038497103,"about_ca_topic_score_gemma":0.000018374265,"teacher_disagreement_score":0.54793245,"about_ca_system_score_codex":0.00005377413,"about_ca_system_score_gemma":0.00027974174,"threshold_uncertainty_score":0.9998074},"labels":[],"label_agreement":null},{"id":"W4400935349","doi":"10.1103/physrevb.110.035155","title":"Anomalies of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional categorical symmetries","year":2024,"lang":"lv","type":"article","venue":"Physical review. B./Physical review. B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Government of Canada; U.S. Department of Energy; University of Chicago; National Science Foundation","keywords":"Boundary (topology); Lagrangian; Center (category theory); Symmetry (geometry); Phase (matter); Physics; Mathematics; Algorithm; Combinatorics; Geometry; Crystallography; Mathematical physics; Mathematical analysis; Quantum mechanics; Chemistry","score_opus":0.022988019108856388,"score_gpt":0.2942831443940907,"score_spread":0.2712951252852343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400935349","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8799409,0.069128945,0.0021221437,0.0031233814,0.0056399247,0.00066632614,0.0012101796,0.0008697141,0.03729845],"genre_scores_gemma":[0.9543785,0.030520285,0.001453407,0.0033861457,0.0057176743,0.00202733,0.0010323698,0.0011792808,0.00030502182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9814508,0.0012370148,0.004398248,0.0036968994,0.005545153,0.0036719094],"domain_scores_gemma":[0.9847903,0.0055705383,0.0033978494,0.0034327677,0.0007836649,0.0020248464],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0029607825,0.0024378705,0.0023715177,0.0005205511,0.0016929352,0.0014524878,0.0036383043,0.002084985,0.0075465227],"category_scores_gemma":[0.006343705,0.0032163183,0.0061834403,0.003219649,0.0027464754,0.0018331143,0.0036775377,0.0039194953,0.0052090557],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00059980364,0.0012916072,0.0000031408863,0.015901608,0.0024459278,0.00062632223,0.0009824088,0.00012500865,0.0018697036,0.8645223,0.10360779,0.008024426],"study_design_scores_gemma":[0.0035293284,0.0061080735,0.000070120856,0.031841863,0.015721405,0.0019575674,0.0009482016,0.21070145,0.39567795,0.26112717,0.06529874,0.0070181447],"about_ca_topic_score_codex":0.0006419792,"about_ca_topic_score_gemma":0.00008795185,"teacher_disagreement_score":0.6033951,"about_ca_system_score_codex":0.00010891431,"about_ca_system_score_gemma":0.0020643205,"threshold_uncertainty_score":0.99996746},"labels":[],"label_agreement":null},{"id":"W4401252641","doi":"10.1007/s12215-024-01105-4","title":"Nonassociative cyclic algebras and the semiassociative Brauer monoid","year":2024,"lang":"en","type":"article","venue":"Rendiconti del Circolo Matematico di Palermo Series 2","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monoid; Mathematics; Associative property; Pure mathematics; Algebra over a field; Differential algebra","score_opus":0.015147260469717245,"score_gpt":0.2705857502047289,"score_spread":0.25543848973501165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401252641","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9688731,0.0064985827,0.0013711371,0.0038915551,0.0024821693,0.0024250355,0.00010871839,0.00085388526,0.0134958625],"genre_scores_gemma":[0.9951162,0.0004135144,0.0003462867,0.0002495815,0.00032189148,0.00039557033,0.000013478091,0.00010845608,0.003035027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965741,0.0005370764,0.000925247,0.00062127074,0.000679711,0.0006625826],"domain_scores_gemma":[0.99595153,0.0027243332,0.00045407674,0.0005603421,0.00014994286,0.00015977804],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011119986,0.0005585033,0.001128893,0.00014011875,0.00047294327,0.0005666853,0.00044746228,0.00034420748,0.00019835212],"category_scores_gemma":[0.001002282,0.00037177512,0.00034047585,0.00046217474,0.00052456075,0.0005427502,0.00027796588,0.00055685587,0.000058521873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009420476,0.000043039367,0.0004214504,0.000792584,0.0009035736,0.000033095366,0.010095137,0.0000016604262,0.000086706175,0.98354524,0.0033944116,0.0005888964],"study_design_scores_gemma":[0.0015164749,0.00008388678,0.0026963886,0.0004525134,0.00046205675,0.000054206834,0.0018481368,0.00062146207,0.00054832257,0.9906883,0.0005329013,0.00049531314],"about_ca_topic_score_codex":0.000044910164,"about_ca_topic_score_gemma":0.000040806917,"teacher_disagreement_score":0.026243139,"about_ca_system_score_codex":0.0002343597,"about_ca_system_score_gemma":0.00011961433,"threshold_uncertainty_score":0.9998734},"labels":[],"label_agreement":null},{"id":"W4401395157","doi":"10.1007/s00031-024-09868-x","title":"Classification and Double Commutant Property for Dual Pairs in an Orthosymplectic Lie Supergroup","year":2024,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Supergroup; Centralizer and normalizer; Mathematics; Lie superalgebra; Lie group; Combinatorics; Lie algebra; Pure mathematics; Algebra over a field","score_opus":0.07778122959058065,"score_gpt":0.3241395778059794,"score_spread":0.24635834821539876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401395157","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9810805,0.000105314335,0.016321434,0.0007157359,0.00032406714,0.0007595799,0.000011047864,0.00017941638,0.00050296064],"genre_scores_gemma":[0.9988364,0.000025989757,0.00069127296,0.000034903285,0.00007707039,0.00021098883,0.00005253346,0.000026453976,0.0000443962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904406,0.0000411309,0.00037029228,0.00019299226,0.00015930638,0.00019223556],"domain_scores_gemma":[0.99958616,0.000121328805,0.000029486753,0.00015879012,0.000045685338,0.00005855486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003506548,0.0001416204,0.00017280313,0.00011063267,0.000113994574,0.000144979,0.00007819066,0.00010716019,0.000023886874],"category_scores_gemma":[0.000012867305,0.00009932023,0.000048598155,0.00018423346,0.000031662537,0.0007230567,0.0000074580107,0.00014153437,0.0000027467545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001173853,0.000055380147,0.00019290143,0.00043615035,0.000014805486,9.071353e-7,0.007640249,0.000005423191,0.0003652091,0.9837509,0.000057975234,0.007362743],"study_design_scores_gemma":[0.002014073,0.0003301245,0.0017115504,0.00011881504,0.000059503822,0.000025857447,0.0015223665,0.07066101,0.00033622567,0.92097974,0.0019427997,0.0002979201],"about_ca_topic_score_codex":0.000038711372,"about_ca_topic_score_gemma":0.00026836616,"teacher_disagreement_score":0.070655584,"about_ca_system_score_codex":0.000068168636,"about_ca_system_score_gemma":0.000035363908,"threshold_uncertainty_score":0.40501612},"labels":[],"label_agreement":null},{"id":"W4401633020","doi":"10.22215/etd/2024-16148","title":"Representations of Lie Algebras of Vector Fields on Algebraic Varieties and Supervarieties","year":2024,"lang":"en","type":"dissertation","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Pure mathematics; Sheaf; Lie superalgebra; Lie algebra; Algebra over a field; Affine Lie algebra","score_opus":0.024635208857746817,"score_gpt":0.3081816803182338,"score_spread":0.28354647146048695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401633020","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96917975,0.0009855009,0.00008851835,0.00014280571,0.002039242,0.00039986245,0.000030109974,0.000083778104,0.027050454],"genre_scores_gemma":[0.98344195,0.00014758206,0.00046373793,0.000025710948,0.00012816653,0.000037695816,0.00010579363,0.000059992508,0.015589387],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983287,0.000046060744,0.0006404066,0.0003645126,0.00045463056,0.00016571536],"domain_scores_gemma":[0.9983691,0.0006687044,0.00025005534,0.0004622825,0.00019660455,0.000053238295],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00011873455,0.0003121687,0.00064055144,0.00020270856,0.000057984435,0.000042774576,0.00020903481,0.00047671978,0.0005357001],"category_scores_gemma":[0.00031736877,0.0002583734,0.00020415749,0.00018312006,0.000092420996,0.00006416632,0.000055774268,0.00035156193,0.000004184443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000089029236,0.000054360684,0.000027576678,0.0016593117,0.00025656787,0.00000172305,0.005944664,0.000001548332,0.00014638265,0.9876661,0.003910515,0.00024223811],"study_design_scores_gemma":[0.00020367671,0.0002434955,0.0006148269,0.00028106378,0.00028004532,0.0000017357698,0.0032003438,0.00002450616,0.011455661,0.9833836,0.000086520275,0.00022450289],"about_ca_topic_score_codex":0.00025595183,"about_ca_topic_score_gemma":0.00017383424,"teacher_disagreement_score":0.014262205,"about_ca_system_score_codex":0.00001593718,"about_ca_system_score_gemma":0.00012988226,"threshold_uncertainty_score":0.9999868},"labels":[],"label_agreement":null},{"id":"W4401639865","doi":"10.1515/crelle-2024-0060","title":"Ordinary modules for vertex algebras of 𝔬𝔰𝔭 <sub>1|2𝑛</sub>","year":2024,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Physics; Combinatorics; Crystallography; Mathematics; Chemistry","score_opus":0.02428546729526348,"score_gpt":0.309116274781277,"score_spread":0.2848308074860135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401639865","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49547204,0.4251244,0.053454313,0.003703769,0.018859113,0.001672232,0.0002611026,0.00022888687,0.0012241242],"genre_scores_gemma":[0.8592005,0.10650174,0.015856175,0.00022437936,0.014478906,0.00006237695,0.000040384908,0.00093065243,0.002704899],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.991364,0.0004316037,0.0038465867,0.00085619895,0.0019182316,0.0015834043],"domain_scores_gemma":[0.9917353,0.0025179363,0.0024940106,0.0009746492,0.0012529845,0.001025152],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0029826914,0.0014479562,0.002645646,0.0011502896,0.0012589532,0.0017830956,0.0014703633,0.00084275054,0.0004224205],"category_scores_gemma":[0.001334978,0.0011131912,0.002748716,0.0007489655,0.00035665333,0.0009983067,0.0004287617,0.0027147965,0.00013111215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017229556,0.0019868794,0.000030693238,0.014952227,0.018409364,0.0030331318,0.008726716,0.00065157394,0.026930958,0.6888157,0.16022365,0.07451614],"study_design_scores_gemma":[0.002852833,0.0015438556,0.0000102683825,0.009020119,0.0040842653,0.0033573806,0.00083121244,0.005079025,0.029795373,0.9078626,0.03439329,0.0011697935],"about_ca_topic_score_codex":0.000006744825,"about_ca_topic_score_gemma":0.000006037774,"teacher_disagreement_score":0.36372843,"about_ca_system_score_codex":0.0005944755,"about_ca_system_score_gemma":0.00086092233,"threshold_uncertainty_score":0.999827},"labels":[],"label_agreement":null},{"id":"W4401824803","doi":"10.1142/s0129167x24500691","title":"Smooth representations of the extended Schrödinger–Virasoro algebra","year":2024,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Virasoro algebra; Mathematics; Conformal field theory; Primary field; Lie conformal algebra; Current algebra; Algebra over a field; N = 2 superconformal algebra; Conformal map; Vertex (graph theory); Schrödinger's cat; Simple (philosophy); Algebra representation; Pure mathematics; Cellular algebra; Mathematical physics; Discrete mathematics; Mathematical analysis; Graph","score_opus":0.031619361860328044,"score_gpt":0.3389937221954986,"score_spread":0.30737436033517057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401824803","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96197444,0.00071869843,0.02192177,0.0025649564,0.008371884,0.00022808179,0.000019032024,0.000047859754,0.0041532996],"genre_scores_gemma":[0.9881901,0.00004714042,0.010782178,0.00004312297,0.0004944327,0.0000026818138,4.9035646e-7,0.000026728918,0.00041312867],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979302,0.000047429352,0.0008355643,0.000103104394,0.0009710684,0.00011262737],"domain_scores_gemma":[0.99787194,0.00074727996,0.00056454085,0.00026650116,0.0005042271,0.000045487093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046744838,0.0001287824,0.00025359262,0.00016012162,0.000041649437,0.00010117181,0.00084459153,0.000067466965,0.00020183476],"category_scores_gemma":[0.0010005215,0.00008028011,0.00034647514,0.00018037812,0.000084795625,0.00020047263,0.0001372733,0.0002712556,0.0000052161704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010726416,0.00014236812,0.000058949718,0.00009473146,0.00034731667,0.000021191878,0.0018411838,0.000036420894,0.0010402609,0.992102,0.0027099182,0.0015948806],"study_design_scores_gemma":[0.00027112523,0.00003495875,0.00020035321,0.00052973925,0.0001076014,0.00021599761,0.00052436517,0.0008710691,0.0040432727,0.9920636,0.0010577276,0.00008023533],"about_ca_topic_score_codex":0.0000044269486,"about_ca_topic_score_gemma":0.0000015242811,"teacher_disagreement_score":0.02621568,"about_ca_system_score_codex":0.00007552668,"about_ca_system_score_gemma":0.00015254486,"threshold_uncertainty_score":0.32737276},"labels":[],"label_agreement":null},{"id":"W4402037608","doi":"10.1007/978-981-97-3886-1_3","title":"Hilbert Functions and Jordan Type of Perazzo Artinian Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Springer INdAM series","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Type (biology); Pure mathematics; Algebra over a field; Geology","score_opus":0.03512511947272655,"score_gpt":0.27151608045528264,"score_spread":0.23639096098255608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402037608","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27584454,0.0046251016,0.0000148314175,0.00062675145,0.0064302026,0.0006200336,0.00007939974,0.00031397212,0.71144515],"genre_scores_gemma":[0.3189004,0.00020518155,0.00047834267,0.000035563116,0.00066537206,0.0000113542965,0.000010544026,0.00016553783,0.6795277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874425,0.0000073382803,0.00041512412,0.00036861782,0.0002669512,0.00019771661],"domain_scores_gemma":[0.99908376,0.00007843118,0.0001777811,0.00044846765,0.00012617405,0.00008537781],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000089463996,0.00035837493,0.0005116845,0.00013555611,0.00009734391,0.000065395616,0.00014810241,0.0003372856,0.0006038113],"category_scores_gemma":[0.000055779376,0.00031962284,0.00014187202,0.00004646945,0.00020709223,0.00009272829,0.00021979054,0.00042874785,0.000052422205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036688994,0.0000071482787,0.000019276717,0.00031107778,0.0002164322,0.000008005457,0.0005884532,1.295381e-7,0.000035830344,0.99720556,0.0011751514,0.0003962243],"study_design_scores_gemma":[0.00009435599,0.00013095305,0.000029028299,0.0002432682,0.00019491793,0.000017792387,0.00007140375,0.0000011709949,0.0001922657,0.85934037,0.13941322,0.0002712287],"about_ca_topic_score_codex":0.000013688917,"about_ca_topic_score_gemma":0.000029766288,"teacher_disagreement_score":0.13823807,"about_ca_system_score_codex":0.000034645545,"about_ca_system_score_gemma":0.00009103544,"threshold_uncertainty_score":0.9999256},"labels":[],"label_agreement":null},{"id":"W4402053552","doi":"10.1007/s11139-024-00930-6","title":"Hypergeometric solutions to Schwarzian equations","year":2024,"lang":"en","type":"article","venue":"The Ramanujan Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hypergeometric function; Schwarzian derivative; Gauss; Modular form; Hypergeometric distribution; Equivariant map; Differential equation; Pure mathematics; Modular equation; Generalized hypergeometric function; Rational function; Algebra over a field; Mathematical analysis; Physics","score_opus":0.08558127357770222,"score_gpt":0.3315615991462146,"score_spread":0.24598032556851235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402053552","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56720996,0.0035106116,0.37934652,0.030709196,0.0107820155,0.0005989669,0.000013600496,0.0004111828,0.0074179242],"genre_scores_gemma":[0.9959619,0.000018778126,0.0012104383,0.00014998898,0.0012228725,0.0000104794835,5.3483427e-7,0.00002661585,0.0013983649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99883133,0.000082414605,0.00027563187,0.00012999268,0.0003499163,0.0003306927],"domain_scores_gemma":[0.9988906,0.0005405899,0.00004620512,0.00027409196,0.0000778406,0.00017067074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073419214,0.000122044,0.00013558209,0.0002972752,0.00064186077,0.00038007266,0.00038452874,0.000050316605,0.00045736658],"category_scores_gemma":[0.00058677624,0.00007479777,0.00015242117,0.0009052796,0.000035213583,0.0001260149,0.00009226109,0.00046576196,0.00024154728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042924876,0.000016020185,0.0000038478606,0.000008240822,0.00006708685,0.000011237079,0.00079616654,0.00012939531,0.000051462237,0.9741417,0.016731836,0.008038695],"study_design_scores_gemma":[0.00010666757,0.00005635783,0.00006390973,0.000052909643,0.000072014394,0.0002118339,0.00020751695,0.001039752,0.000037478458,0.9852608,0.012779685,0.00011108515],"about_ca_topic_score_codex":0.000005865502,"about_ca_topic_score_gemma":0.0000046720256,"teacher_disagreement_score":0.42875195,"about_ca_system_score_codex":0.000096064534,"about_ca_system_score_gemma":0.00011753259,"threshold_uncertainty_score":0.50078434},"labels":[],"label_agreement":null},{"id":"W4402634300","doi":"10.1090/tran/9279","title":"Braid group actions, Baxter polynomials, and affine quantum groups","year":2024,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Braid group; Affine transformation; Pure mathematics; Quantum affine algebra; Mathematics; Group (periodic table); Braid theory; Quantum; Quantum group; Braid; Affine representation; Algebra over a field; Physics; Quantum mechanics; Materials science; Cellular algebra; Affine Lie algebra; Algebra representation","score_opus":0.029484209782732067,"score_gpt":0.2986867366561888,"score_spread":0.2692025268734567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402634300","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87830454,0.00047131378,0.11290426,0.0042714705,0.0016124604,0.0011733864,0.00017973747,0.00034994158,0.0007328615],"genre_scores_gemma":[0.9839842,0.00020398578,0.014735312,0.00014633995,0.00024097007,0.00011380728,0.000003127301,0.00010272234,0.00046956228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766403,0.0001340491,0.00076483306,0.0005594353,0.0005131953,0.0003644648],"domain_scores_gemma":[0.99748564,0.0007414235,0.00050697906,0.001064122,0.000066858374,0.00013499957],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003748198,0.0004893098,0.0010612191,0.000053592266,0.00024353608,0.00010095101,0.00061483006,0.00027404417,0.00025664424],"category_scores_gemma":[0.00007940308,0.00033764975,0.001242471,0.00033962974,0.000940393,0.000054575507,0.00038710615,0.0013849989,0.000009605784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007273592,0.00060619635,0.00001388197,0.0039029655,0.0017647954,0.0000012771445,0.004024523,0.00006228792,0.0012923564,0.98055106,0.0037452215,0.0039626886],"study_design_scores_gemma":[0.00021689129,0.00007901275,0.00009711786,0.00036751077,0.0008496209,0.000023836532,0.0008996469,0.002696404,0.0003605975,0.9939072,0.00015206383,0.00035009687],"about_ca_topic_score_codex":0.00014273723,"about_ca_topic_score_gemma":0.000008818024,"teacher_disagreement_score":0.1056796,"about_ca_system_score_codex":0.0001376921,"about_ca_system_score_gemma":0.00010091732,"threshold_uncertainty_score":0.99990755},"labels":[],"label_agreement":null},{"id":"W4402641622","doi":"10.1103/physrevb.110.125140","title":"Bipartite Sachdev-Ye models with Read-Saleur symmetries","year":2024,"lang":"en","type":"article","venue":"Physical review. B./Physical review. B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Horizon 2020; Engineering and Physical Sciences Research Council; Fonds de recherche du Québec","keywords":"Bipartite graph; Homogeneous space; Mathematics; Mathematical physics; Theoretical physics; Pure mathematics; Combinatorics; Physics; Geometry","score_opus":0.03999162622716666,"score_gpt":0.3969319704340487,"score_spread":0.35694034420688203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402641622","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20536147,0.6891185,0.048990756,0.015961539,0.0019123342,0.008224069,0.00016471877,0.002478439,0.027788183],"genre_scores_gemma":[0.86416024,0.1274857,0.0007740188,0.0041534267,0.0019247325,0.0006284414,0.00004077946,0.00025841655,0.00057426246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99496025,0.00036179397,0.0009962053,0.0012659668,0.0014857631,0.0009300386],"domain_scores_gemma":[0.99576485,0.0014948744,0.00033336575,0.0015245326,0.00038642358,0.0004959483],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005812515,0.00097299076,0.0025709902,0.00009838875,0.00018175694,0.0001783728,0.0008450503,0.00008849336,0.000120793426],"category_scores_gemma":[0.0010663794,0.0006280551,0.0011497192,0.0018835919,0.000273605,0.0006880344,0.0003050227,0.0009930388,0.000565568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020057563,0.00030940646,0.0000044048224,0.015724627,0.00021549048,0.00003510045,0.00010484063,0.000006804889,0.000118421885,0.9549287,0.01628583,0.012246345],"study_design_scores_gemma":[0.00022693754,0.00030202992,0.000009141298,0.024291065,0.0013572029,0.000022545713,0.0000064405563,0.008110985,0.00038745246,0.9202921,0.04421395,0.0007801603],"about_ca_topic_score_codex":0.000019902825,"about_ca_topic_score_gemma":0.0000028334798,"teacher_disagreement_score":0.65879875,"about_ca_system_score_codex":0.00014301128,"about_ca_system_score_gemma":0.00021230492,"threshold_uncertainty_score":0.9996171},"labels":[],"label_agreement":null},{"id":"W4402776405","doi":"10.1090/mosc/340","title":"Quantum representation theory and Manin matrices I: The finite-dimensional case","year":2024,"lang":"en","type":"article","venue":"Transactions of the Moscow Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Representation (politics); Quantum; Pure mathematics; Representation theory; Algebra over a field; Quantum mechanics; Physics; Political science","score_opus":0.02981915126766599,"score_gpt":0.30623837183809977,"score_spread":0.2764192205704338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402776405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73595667,0.0008242984,0.25924882,0.0021713215,0.00067466067,0.0006409271,0.000030600688,0.00015277865,0.00029994422],"genre_scores_gemma":[0.99607843,0.000028932667,0.0031242592,0.000059335132,0.000055338813,0.000033766464,4.942628e-7,0.000025268995,0.00059417804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879295,0.00017025607,0.0003443692,0.00020682615,0.00032371594,0.00016187424],"domain_scores_gemma":[0.99550134,0.0039280434,0.00007747617,0.00040575248,0.000043630112,0.000043744738],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006910799,0.00015602293,0.00021055194,0.000017159642,0.0003763752,0.0000728952,0.0002024288,0.00010596709,0.00028321304],"category_scores_gemma":[0.00014953842,0.0000800396,0.00034622062,0.0002728386,0.00029350008,0.0001088534,0.000037796548,0.00030120148,0.000005455788],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014942677,0.000062091196,0.0000019208749,0.00034448528,0.00018306673,0.0000059788326,0.003569623,0.00015153791,0.00012537047,0.99437696,0.0005638079,0.00060021214],"study_design_scores_gemma":[0.00014122881,0.000023523296,0.000007617666,0.0001055671,0.0003047148,0.0003038394,0.001617291,0.030750988,0.0007127649,0.96589875,0.00004146316,0.000092250724],"about_ca_topic_score_codex":0.00002310483,"about_ca_topic_score_gemma":0.0000026375676,"teacher_disagreement_score":0.26012176,"about_ca_system_score_codex":0.000027153941,"about_ca_system_score_gemma":0.000034371682,"threshold_uncertainty_score":0.32639202},"labels":[],"label_agreement":null},{"id":"W4402984086","doi":"10.1103/physrevlett.133.146601","title":"Hyperbolic Lattices and Two-Dimensional Yang-Mills Theory","year":2024,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Pacific Institute for the Mathematical Sciences","keywords":"Yang–Mills theory; Mathematical physics; Physics; Theoretical physics; Gauge theory","score_opus":0.02381366655957264,"score_gpt":0.3286661858615347,"score_spread":0.30485251930196205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402984086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9471987,0.04623078,0.00007344292,0.005307826,0.00042434767,0.00026352663,0.0000035583712,0.00012073458,0.00037710558],"genre_scores_gemma":[0.9874065,0.00090571266,0.00025963347,0.010733013,0.00059523876,0.000027460079,0.000002172695,0.000031597865,0.000038669223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990609,0.00009725214,0.00016692144,0.00026109908,0.00023091694,0.0001829016],"domain_scores_gemma":[0.9988741,0.0007935721,0.00003639475,0.00020588045,0.000014647803,0.00007539585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002024243,0.00016649654,0.0003330458,0.000021432521,0.000048743113,0.000045225515,0.000113024624,0.000010127294,0.00006952018],"category_scores_gemma":[0.000094414136,0.00011377702,0.00014118887,0.00011744444,0.000075888405,0.000093310555,0.00007610053,0.00017343202,0.000059642534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000037586074,0.000022650349,0.000004499546,0.001403115,0.00006958091,0.000012852803,0.00012069563,0.000004392193,0.0013836154,0.9846678,0.005463769,0.006843276],"study_design_scores_gemma":[0.00011562793,0.000017943607,0.00003332843,0.0015519181,0.00020273462,0.000013627262,0.000002520066,0.0005568107,0.00009967332,0.99245536,0.0047740256,0.0001763986],"about_ca_topic_score_codex":0.0000029809978,"about_ca_topic_score_gemma":1.7886971e-7,"teacher_disagreement_score":0.045325067,"about_ca_system_score_codex":0.00001615877,"about_ca_system_score_gemma":0.000013577254,"threshold_uncertainty_score":0.46396926},"labels":[],"label_agreement":null},{"id":"W4403030980","doi":"10.21468/scipostphys.17.4.097","title":"Nonsymmorphic spin-space cubic groups and SU(2)$_1$ conformal invariance in one-dimensional spin-1/2 models","year":2024,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Stewart Blusson Quantum Matter Institute, University of British Columbia; Canada First Research Excellence Fund; University of British Columbia; Chinese Academy of Sciences; Nankai University; Natural Sciences and Engineering Research Council of Canada; University of Tokyo; Max-Planck-Gesellschaft; Compute Canada","keywords":"Spin (aerodynamics); Conformal map; Space (punctuation); Conformal symmetry; Mathematical physics; Condensed matter physics; Physics; Theoretical physics; Mathematics; Geometry; Computer science; Thermodynamics","score_opus":0.04756001078179417,"score_gpt":0.2914960507626813,"score_spread":0.24393603998088714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403030980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9919271,0.0008211489,0.0027922925,0.0005911546,0.0012037461,0.00043622206,0.000022389513,0.00016115146,0.0020448286],"genre_scores_gemma":[0.997181,0.000035265708,0.0018805303,0.0001573896,0.0004697676,0.000027012253,0.000012386778,0.00005752114,0.00017910781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998156,0.000047882648,0.00037975376,0.00048533792,0.00046855438,0.00046247477],"domain_scores_gemma":[0.9990877,0.00021358058,0.00008813242,0.00039775134,0.000077043,0.00013577506],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002774129,0.0003145027,0.00041148718,0.000090830734,0.00013020834,0.00020626133,0.00024097321,0.00015680578,0.00003615011],"category_scores_gemma":[0.000035726185,0.00029644097,0.00009972142,0.00042488924,0.00014950767,0.0006470137,0.00025644962,0.00047314947,0.00003711641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036540154,0.000064216314,0.000029841656,0.00021077465,0.00005053408,0.00002199947,0.00076063577,0.00049316103,0.0005058142,0.99678504,0.00027598502,0.00076547865],"study_design_scores_gemma":[0.0005636731,0.00008470873,0.00017079219,0.00037638212,0.00004529195,0.000018376879,0.00004939323,0.04830567,0.0009441147,0.9489871,0.0001088366,0.00034563305],"about_ca_topic_score_codex":0.00007065463,"about_ca_topic_score_gemma":0.000023911069,"teacher_disagreement_score":0.04781251,"about_ca_system_score_codex":0.00008691943,"about_ca_system_score_gemma":0.00019359111,"threshold_uncertainty_score":0.9999488},"labels":[],"label_agreement":null},{"id":"W4403082470","doi":"10.1016/b978-0-323-95703-8.00226-3","title":"Finite-dimensional algebras and quivers","year":2024,"lang":"en","type":"book-chapter","venue":"Encyclopedia of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Pure mathematics; Algebra over a field; Mathematics","score_opus":0.022558412738413483,"score_gpt":0.2591538575434284,"score_spread":0.23659544480501493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403082470","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0013581465,0.00063250476,0.00094013853,0.00011752023,0.0007692009,0.00046026384,0.00006974639,0.00013575717,0.9955167],"genre_scores_gemma":[0.023427079,0.0007052212,0.014255985,0.00016514109,0.0024849703,0.000039848404,0.000053656768,0.00056808436,0.9583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99789345,0.000012752995,0.0006715079,0.0004735808,0.00068594393,0.0002627482],"domain_scores_gemma":[0.99744916,0.0014827184,0.0002951339,0.00050973886,0.00010448512,0.00015874354],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014880282,0.00053588743,0.0009562532,0.00007286593,0.00005590933,0.000028056007,0.00024936153,0.00041405924,0.00075615325],"category_scores_gemma":[0.00017926359,0.00044749843,0.00032164456,0.000043755306,0.00030208752,0.00007334136,0.00033379655,0.00057965243,0.00019288919],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012019415,0.000041887793,3.557159e-7,0.0010824081,0.00020072759,0.000016017557,0.0003048029,0.000004021833,0.0000015130875,0.99296445,0.0045249,0.0008469097],"study_design_scores_gemma":[0.0002161666,0.00008052089,4.0452704e-7,0.0006964666,0.00043806477,0.000008037736,0.000014408382,0.00024202501,0.00001962673,0.9875142,0.010345876,0.00042422625],"about_ca_topic_score_codex":0.0000017381378,"about_ca_topic_score_gemma":3.778713e-7,"teacher_disagreement_score":0.037216708,"about_ca_system_score_codex":0.000041464547,"about_ca_system_score_gemma":0.0000926003,"threshold_uncertainty_score":0.9997977},"labels":[],"label_agreement":null},{"id":"W4403082552","doi":"10.1016/b978-0-323-95703-8.00157-9","title":"Finite-Type Invariants","year":2006,"lang":"en","type":"book-chapter","venue":"Encyclopedia of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Type (biology); Mathematics; Pure mathematics; Computer science; Geology","score_opus":0.032446618115287984,"score_gpt":0.26579869080434043,"score_spread":0.23335207268905245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403082552","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00025049053,0.00011504154,0.007754245,0.00003002847,0.0007530435,0.000472225,0.000038461665,0.000109650624,0.9904768],"genre_scores_gemma":[0.022578856,0.0003043225,0.015647946,0.00009252032,0.0033637711,0.00002666241,0.000108144755,0.0005248807,0.9573529],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99732476,0.000025338479,0.0010214398,0.0004452964,0.0008287555,0.00035437808],"domain_scores_gemma":[0.996561,0.0014285339,0.0006987965,0.00094378705,0.00023834938,0.00012952398],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00017718476,0.00062515406,0.0012709228,0.000067318666,0.00006503324,0.000023732407,0.00052929606,0.0005820671,0.0011913438],"category_scores_gemma":[0.0004386496,0.000547836,0.00039502088,0.00007247782,0.00020323168,0.00008982264,0.00023470147,0.000592252,0.00026263646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016190314,0.00011396611,0.0000010489689,0.00058745424,0.000112654125,0.000009916925,0.000111722315,0.000013446111,0.0000017570256,0.97672844,0.021533746,0.00076967967],"study_design_scores_gemma":[0.00031065237,0.00009992063,0.0000012637065,0.00040495367,0.0002827896,0.0000030755364,0.0000043422006,0.00012406133,0.000034593955,0.98042595,0.017790258,0.00051814946],"about_ca_topic_score_codex":0.000003891455,"about_ca_topic_score_gemma":7.2366345e-7,"teacher_disagreement_score":0.033123918,"about_ca_system_score_codex":0.00006246772,"about_ca_system_score_gemma":0.00016876895,"threshold_uncertainty_score":0.9997217},"labels":[],"label_agreement":null},{"id":"W4403192865","doi":"10.1112/jlms.13007","title":"The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley–Lieb algebras","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quotient; Bruhat order; Mathematics; Order (exchange); Pure mathematics; Combinatorics; Algebra over a field; Weyl group; Business","score_opus":0.016077843006713735,"score_gpt":0.2660606435129919,"score_spread":0.2499828005062782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403192865","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9622238,0.011612115,0.010485171,0.010272377,0.0038344543,0.00074446126,0.0000068926092,0.000041338953,0.0007793815],"genre_scores_gemma":[0.9942952,0.0006334363,0.003273825,0.00020688567,0.0003180007,0.0000070070773,6.631961e-8,0.0000403436,0.0012252367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99737084,0.00020291889,0.0009017229,0.00016826551,0.0010590182,0.0002972364],"domain_scores_gemma":[0.99598324,0.0025522914,0.0005663315,0.00057264575,0.00023427265,0.00009120946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015638762,0.00023718733,0.00047657843,0.000025330539,0.00041808287,0.00019335141,0.00092849927,0.00016159465,0.000043267777],"category_scores_gemma":[0.0013833876,0.00009310584,0.0008132733,0.000699282,0.00043780977,0.000119595126,0.00038797248,0.0007443978,0.0000027387289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019709725,0.00009398605,0.000086023145,0.00047775987,0.00031628567,0.0000014060704,0.0021645648,0.000009971447,0.0001528707,0.9837054,0.011744983,0.0012270096],"study_design_scores_gemma":[0.00035284617,0.00007763501,0.00021356952,0.00038413913,0.0002496712,0.00014386057,0.0007084295,0.0011601336,0.0007934855,0.9930805,0.0027161934,0.00011953284],"about_ca_topic_score_codex":0.0000047373865,"about_ca_topic_score_gemma":0.0000015359977,"teacher_disagreement_score":0.03207139,"about_ca_system_score_codex":0.00011193033,"about_ca_system_score_gemma":0.00016814425,"threshold_uncertainty_score":0.37967458},"labels":[],"label_agreement":null},{"id":"W4403518215","doi":"10.1016/j.physletb.2024.139080","title":"Casimirs of the Virasoro algebra","year":2024,"lang":"en","type":"article","venue":"Physics Letters B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; CERN; U.S. Department of Energy","keywords":"Physics; Virasoro algebra; N = 2 superconformal algebra; Current algebra; Algebra over a field; Algebra representation; Mathematical physics; Cellular algebra; Pure mathematics; Jordan algebra","score_opus":0.02494952625177282,"score_gpt":0.27244374474856864,"score_spread":0.24749421849679581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403518215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.991372,0.00010455643,0.003613675,0.0021900937,0.0016206315,0.00013954258,0.0000052460023,0.000072408046,0.0008818417],"genre_scores_gemma":[0.99872017,0.0000020939183,0.0002069007,0.0005713671,0.00040732505,0.0000071839945,5.5794794e-7,0.000024488472,0.000059889684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993382,0.00002743384,0.00014146134,0.00013954454,0.00022009797,0.00013326909],"domain_scores_gemma":[0.99942267,0.00016583422,0.000044987075,0.00033080817,0.000016014113,0.000019684234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000055425513,0.000100050296,0.00013327926,0.000012532967,0.000045953664,0.000028994185,0.00023248489,0.000029759087,0.000021298136],"category_scores_gemma":[0.000021968246,0.00006812046,0.00015827843,0.0001729958,0.00006512267,0.00006287132,0.00007700497,0.00014553925,0.000008599677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000021706915,0.000012216535,0.000032964275,0.00009163082,0.000051660703,0.0000019954196,0.0005786749,0.000014668534,0.00899955,0.98275954,0.0061502694,0.0013046447],"study_design_scores_gemma":[0.00007862754,0.0000070513715,0.000095552896,0.00006199859,0.00004439314,0.0000021200003,0.00001645293,0.00018760069,0.015919888,0.9828043,0.0006945504,0.00008748064],"about_ca_topic_score_codex":0.0000146848715,"about_ca_topic_score_gemma":7.3638506e-7,"teacher_disagreement_score":0.007348188,"about_ca_system_score_codex":0.000024272205,"about_ca_system_score_gemma":0.000021523689,"threshold_uncertainty_score":0.27778718},"labels":[],"label_agreement":null},{"id":"W4403588978","doi":"10.1007/s00029-024-00978-8","title":"Heaps, crystals, and preprojective algebra modules","year":2024,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; University of British Columbia","funders":"","keywords":"Algebra over a field; Mathematics; Pure mathematics","score_opus":0.023931047053922364,"score_gpt":0.29473739620932243,"score_spread":0.2708063491554001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403588978","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9490089,0.0035576595,0.01774119,0.0008784097,0.000795564,0.0012949115,0.000019152147,0.0013191538,0.02538508],"genre_scores_gemma":[0.9902834,0.000048204678,0.008280502,0.00003952992,0.0001976114,0.000072790994,0.00000228124,0.00007189189,0.0010037591],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984726,0.00005931884,0.00033722876,0.00048416056,0.0003015848,0.00034512082],"domain_scores_gemma":[0.99880785,0.00057247916,0.000057007794,0.00039898153,0.000060961556,0.0001027042],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002988351,0.00026839474,0.00036793016,0.00011173807,0.00012289906,0.0002212636,0.00018311567,0.00012928675,0.00024704367],"category_scores_gemma":[0.00032739798,0.00020920519,0.000098054,0.00028241126,0.000083297484,0.00018906442,0.000121255456,0.00023074751,0.000036362046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009949956,0.000043286436,0.0000048646934,0.0006195989,0.00012224604,0.000009966986,0.0023255488,2.854676e-7,0.00030765735,0.99101895,0.0041088173,0.0014288482],"study_design_scores_gemma":[0.00015529948,0.0000817852,0.000017837925,0.00021857223,0.000083497354,0.00009357157,0.00018090013,0.0024754608,0.0012872621,0.99423367,0.00092241773,0.00024971535],"about_ca_topic_score_codex":0.0000103258035,"about_ca_topic_score_gemma":0.0000033464348,"teacher_disagreement_score":0.04127455,"about_ca_system_score_codex":0.00005388759,"about_ca_system_score_gemma":0.00007035573,"threshold_uncertainty_score":0.853114},"labels":[],"label_agreement":null},{"id":"W4403712534","doi":"10.7566/jpsj.93.114005","title":"Multifractality and Hyperuniformity in Quasicrystalline Bose–Hubbard Models with and without Disorder","year":2024,"lang":"en","type":"article","venue":"Journal of the Physical Society of Japan","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Japan Science and Technology Agency; Japan Society for the Promotion of Science","keywords":"Quasicrystal; Condensed matter physics; Materials science; Statistical physics; Physics","score_opus":0.020454865976032993,"score_gpt":0.2836365996873314,"score_spread":0.2631817337112984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403712534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99744976,0.00025135663,0.001121574,0.0009619518,0.00006877784,0.000106834355,0.0000035357573,0.000006729305,0.000029506831],"genre_scores_gemma":[0.9978406,0.000054144086,0.0019153316,0.000029305636,0.00012366474,0.0000010620726,1.2284148e-7,0.000014109301,0.000021668353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991902,0.000039889583,0.00025685917,0.00011054839,0.00028235806,0.00012014377],"domain_scores_gemma":[0.99941796,0.00016887423,0.00016786912,0.00012936187,0.000058399986,0.00005755975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025227043,0.0001232383,0.00034899617,0.000012507858,0.00005015847,0.000031933698,0.00013195105,0.000053274154,0.000001490855],"category_scores_gemma":[0.000027334234,0.0000650857,0.00018701327,0.00010903616,0.00017049571,0.00020751302,0.00008525986,0.00035125623,4.3614282e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010284479,0.0027621822,0.07154679,0.0035503241,0.0025589257,0.000003893185,0.08779125,0.0052671675,0.01076961,0.7841638,0.0010210773,0.029536566],"study_design_scores_gemma":[0.00076925027,0.00012324456,0.005379823,0.00023964865,0.000105305204,0.000022238239,0.00085925683,0.04101215,0.00018926787,0.95115376,0.000041851603,0.00010418735],"about_ca_topic_score_codex":0.00005563682,"about_ca_topic_score_gemma":0.0000122949195,"teacher_disagreement_score":0.16699001,"about_ca_system_score_codex":0.000030519215,"about_ca_system_score_gemma":0.00004567736,"threshold_uncertainty_score":0.26541176},"labels":[],"label_agreement":null},{"id":"W4403757267","doi":"10.1007/s00013-024-02067-w","title":"Leavitt path algebras of quantum quivers","year":2024,"lang":"de","type":"article","venue":"Archiv der Mathematik","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Path (computing); Quantum; Pure mathematics; Algebra over a field; Quantum mechanics; Computer science; Physics","score_opus":0.023508359633885093,"score_gpt":0.2793681905018721,"score_spread":0.255859830867987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403757267","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84079045,0.04530924,0.06953978,0.0018388989,0.01793939,0.0026731861,0.00041269234,0.001104276,0.0203921],"genre_scores_gemma":[0.9927593,0.0005767911,0.0040078345,0.00008369349,0.00083864765,0.000031047108,0.0000248395,0.00020344224,0.001474444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961582,0.00018985012,0.0012031457,0.00077397947,0.0009070659,0.00076775724],"domain_scores_gemma":[0.9966816,0.0014665949,0.00035146403,0.0011486261,0.00009924612,0.00025248094],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005221133,0.00067216984,0.0010546334,0.00030869004,0.00016676032,0.00020132885,0.00077688025,0.0002806172,0.0010258539],"category_scores_gemma":[0.00026139533,0.0005788237,0.0006801619,0.00046557383,0.00034598674,0.00023832258,0.00040044164,0.0006573151,0.00090635865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000415266,0.00023447351,0.00001657088,0.004155991,0.0010029303,0.00008944171,0.014661151,0.000010933697,0.0003708654,0.96444815,0.012748227,0.002219757],"study_design_scores_gemma":[0.0005064188,0.00021216989,0.00003710394,0.0019792446,0.0008325071,0.000038102116,0.0008837695,0.010720615,0.0013281913,0.9784019,0.0044765277,0.0005834216],"about_ca_topic_score_codex":0.000051508,"about_ca_topic_score_gemma":0.0000022939532,"teacher_disagreement_score":0.15196882,"about_ca_system_score_codex":0.000087216715,"about_ca_system_score_gemma":0.00032782764,"threshold_uncertainty_score":0.99988735},"labels":[],"label_agreement":null},{"id":"W4403923748","doi":"10.3842/sigma.2024.099","title":"Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical $R$-Matrices for Superspin Chains from the Bethe/Gauge Correspondence","year":2024,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Ministry of Education, Culture, Sports, Science and Technology; Institut Périmètre de physique théorique; Alfred P. Sloan Foundation","keywords":"Mathematics; Symplectic geometry; Gauge theory; Higgs boson; Quiver; Mathematical physics; Pure mathematics; Chain (unit); Physics; Quantum mechanics","score_opus":0.036844364311377754,"score_gpt":0.3778017097623714,"score_spread":0.3409573454509936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403923748","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2456498,0.0046792133,0.74635726,0.0012155484,0.00020137728,0.0014343023,0.00035949665,0.00006162526,0.000041365194],"genre_scores_gemma":[0.8101561,0.00049566716,0.18719631,0.00012769586,0.00027713427,0.0013428918,0.00004021214,0.000037562317,0.00032639178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99833816,0.00018718641,0.0003893494,0.0006453734,0.00013915483,0.00030079958],"domain_scores_gemma":[0.9832213,0.016070487,0.00007382946,0.0003939825,0.0001246327,0.00011576177],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001875478,0.0002655928,0.0004181726,0.00011788586,0.0005787071,0.00030124167,0.00022783343,0.00020112527,0.000027804934],"category_scores_gemma":[0.0014552707,0.00017701175,0.000121041216,0.0005472971,0.00035445453,0.00012786215,0.00011842469,0.00029652214,6.2998583e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005310094,0.000043231765,0.00029569285,0.00046443447,0.00010188256,7.887387e-8,0.000889727,5.7541774e-7,0.00025027947,0.94528663,0.00014719529,0.052467145],"study_design_scores_gemma":[0.00023631628,0.00012017871,0.0006531381,0.00005208013,0.00022112128,0.0000047597046,0.0021756426,0.011170063,0.00038292797,0.9764961,0.008261874,0.0002257901],"about_ca_topic_score_codex":0.00025730085,"about_ca_topic_score_gemma":0.00004046828,"teacher_disagreement_score":0.56450635,"about_ca_system_score_codex":0.000046281544,"about_ca_system_score_gemma":0.00007229693,"threshold_uncertainty_score":0.721833},"labels":[],"label_agreement":null},{"id":"W4404095463","doi":"10.1017/9781009426862.010","title":"Group schemes","year":2024,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Group (periodic table); Computer science; Physics","score_opus":0.0327842219227224,"score_gpt":0.22843110070379952,"score_spread":0.19564687878107712,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404095463","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000385419,0.00035122587,0.000311734,0.000011749592,0.0011707284,0.00033602718,0.00009801489,0.00036189423,0.9969732],"genre_scores_gemma":[0.0037020463,0.00005062068,0.00021515945,0.000026577241,0.00041718042,7.9603274e-7,0.000019089573,0.00010673655,0.9954618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99862564,0.00001378008,0.00020655117,0.00054636877,0.00033481364,0.0002728271],"domain_scores_gemma":[0.99886614,0.00010706522,0.00015647084,0.0006339833,0.00008835874,0.00014796712],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00006540055,0.0004483617,0.0004849879,0.00014514393,0.00013099331,0.000067563946,0.00052062696,0.00052762515,0.000015579073],"category_scores_gemma":[0.0000109584025,0.00047625983,0.00036484867,0.000007430971,0.00015636944,0.000054872697,0.00054562325,0.00064224744,0.00003298983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033286702,0.000004855316,6.147698e-8,0.00024375279,0.00026468784,0.00023616555,0.000029005138,6.660478e-8,0.000006963398,0.9651709,0.033794194,0.00021602398],"study_design_scores_gemma":[0.00025546356,0.000032645406,1.245875e-7,0.00022882254,0.00037638636,0.000012625057,0.000013665297,0.000010016367,0.00009320745,0.2526973,0.745881,0.0003987146],"about_ca_topic_score_codex":0.000027710099,"about_ca_topic_score_gemma":8.187769e-7,"teacher_disagreement_score":0.71247363,"about_ca_system_score_codex":0.00018690364,"about_ca_system_score_gemma":0.00006011561,"threshold_uncertainty_score":0.9997689},"labels":[],"label_agreement":null},{"id":"W4404351042","doi":"10.1007/s11005-024-01879-9","title":"Two homomorphisms from the affine Yangian associated with $$\\widehat{\\mathfrak {sl}}(n)$$ to the affine Yangian associated with $$\\widehat{\\mathfrak {sl}}(n+1)$$","year":2024,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Yangian; Homomorphism; Affine transformation; Mathematics; Physics; Pure mathematics; Combinatorics; Algebra over a field","score_opus":0.021424583872499996,"score_gpt":0.2587939416738608,"score_spread":0.2373693578013608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404351042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9275111,0.00023715202,0.036284033,0.027706277,0.0011367992,0.0029817743,0.00028787987,0.0010038125,0.002851171],"genre_scores_gemma":[0.9882341,0.000007158799,0.0038182372,0.0052516824,0.001257797,0.0002729474,0.0001329664,0.000383887,0.0006412151],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9937605,0.0005267025,0.0011923235,0.0011731103,0.0019009992,0.0014463539],"domain_scores_gemma":[0.99076575,0.0064126733,0.00045743832,0.0018514736,0.00020326285,0.0003094277],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012660752,0.0011694221,0.0014822371,0.00014934834,0.0004890469,0.0007716694,0.001717751,0.00034923977,0.0003940859],"category_scores_gemma":[0.0013673722,0.0006550931,0.00044403065,0.0020984695,0.0005217313,0.00040449496,0.00045994038,0.0016988198,0.00023684079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017241562,0.00093303923,0.0003171396,0.00019323209,0.001628215,0.0003468788,0.0077862474,0.0011019445,0.00076996634,0.96338445,0.021521192,0.0018452592],"study_design_scores_gemma":[0.0023141273,0.00034445815,0.0013492818,0.0029633201,0.00090327533,0.000027735903,0.00068127457,0.0071891197,0.00050962786,0.9815541,0.0007708129,0.0013928983],"about_ca_topic_score_codex":0.00016084027,"about_ca_topic_score_gemma":0.0005151039,"teacher_disagreement_score":0.060723007,"about_ca_system_score_codex":0.0005733142,"about_ca_system_score_gemma":0.00022871625,"threshold_uncertainty_score":0.99959004},"labels":[],"label_agreement":null},{"id":"W4404357898","doi":"10.1017/fms.2024.102","title":"The spin Brauer category","year":2024,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Stanley Medical Research Institute","keywords":"Mathematics; Brauer group; Spin (aerodynamics); Pure mathematics; Physics","score_opus":0.02272682637132155,"score_gpt":0.29854005513776843,"score_spread":0.27581322876644687,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404357898","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7874781,0.011548292,0.08567909,0.0093462765,0.010798683,0.002554059,0.000046700658,0.0013244217,0.09122438],"genre_scores_gemma":[0.9937656,0.00004567651,0.003446646,0.00003236739,0.00014713462,0.000028313396,0.000001297025,0.000055898985,0.0024770887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985675,0.000027185739,0.0005045591,0.00018396921,0.0003998492,0.00031691178],"domain_scores_gemma":[0.9980714,0.001111822,0.00012859685,0.00056626386,0.00006510919,0.000056820405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044656012,0.00018649138,0.00027721527,0.000055430544,0.00014951012,0.00010348618,0.00041890613,0.00010612323,0.000119541735],"category_scores_gemma":[0.00029692217,0.000112151836,0.00019814365,0.00018225732,0.000114774106,0.0000826869,0.00013396684,0.00018598509,0.00004132987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036824958,0.000040379196,0.0000052228334,0.0003623921,0.00007674074,0.00000357839,0.0007687519,0.000003282006,0.00012249095,0.982915,0.01411525,0.0015832538],"study_design_scores_gemma":[0.0001173062,0.000055493547,0.00000436185,0.00014012055,0.000050432904,0.00001532051,0.00082842173,0.0023757813,0.002245225,0.986689,0.0073436806,0.00013487619],"about_ca_topic_score_codex":0.0000103981965,"about_ca_topic_score_gemma":0.0000106227,"teacher_disagreement_score":0.20628747,"about_ca_system_score_codex":0.000032004195,"about_ca_system_score_gemma":0.000071046255,"threshold_uncertainty_score":0.4573419},"labels":[],"label_agreement":null},{"id":"W4404592126","doi":"10.1088/1751-8121/ad94b9","title":"A q-version of the relation between the hypercube, the Krawtchouk chain and Dicke states","year":2024,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Universities Space Research Association","keywords":"Hypercube; Relation (database); Kravchuk polynomials; Chain (unit); Computer science; Mathematics; Orthogonal polynomials; Physics; Parallel computing; Combinatorics; Difference polynomials; Quantum mechanics; Wilson polynomials; Data mining","score_opus":0.011594871146156562,"score_gpt":0.256885343850087,"score_spread":0.24529047270393042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404592126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99021643,0.00038220378,0.0049311314,0.0038360588,0.00016049885,0.00016792072,0.000006192431,0.000007924368,0.00029160958],"genre_scores_gemma":[0.99929535,0.000049514732,0.00027121362,0.00004403688,0.00030457976,0.0000018323846,2.4859787e-7,0.000014772699,0.000018423401],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878794,0.0001562411,0.00041172406,0.00009527259,0.00041926888,0.00012957376],"domain_scores_gemma":[0.99675816,0.002762252,0.00015467656,0.0001948408,0.00007261836,0.00005745231],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085512456,0.0001273662,0.0002827675,0.000017338101,0.00013442649,0.00007028822,0.00022636857,0.00006661866,0.000032584463],"category_scores_gemma":[0.00031993387,0.000045955603,0.00015553366,0.00013722316,0.0008081165,0.00007661217,0.00014840979,0.00041584377,0.0000013710676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017417828,0.000027952923,0.000044727545,0.00012515568,0.00008694824,0.0000013023572,0.0015901641,0.0000015915965,0.00006084496,0.99600464,0.00011727595,0.0019220065],"study_design_scores_gemma":[0.00017882322,0.00008980538,0.0003905069,0.00027343485,0.00026240054,0.0000534762,0.0003168155,0.0024448573,0.00042922405,0.9954447,0.000056678407,0.000059241836],"about_ca_topic_score_codex":6.7392654e-7,"about_ca_topic_score_gemma":5.923963e-8,"teacher_disagreement_score":0.009078918,"about_ca_system_score_codex":0.0000129331875,"about_ca_system_score_gemma":0.000030713643,"threshold_uncertainty_score":0.2977539},"labels":[],"label_agreement":null},{"id":"W4404651451","doi":"10.1007/s10468-024-10294-6","title":"Hopf Algebra (Co)actions on Rational Functions","year":2024,"lang":"lv","type":"article","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Abdus Salam International Centre for Theoretical Physics; Technische Universität Dresden; Deutsche Forschungsgemeinschaft; Scuola Internazionale Superiore di Studi Avanzati","keywords":"Algorithm; Computer science","score_opus":0.042384311139570335,"score_gpt":0.33374109143051933,"score_spread":0.291356780290949,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404651451","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8327739,0.011241372,0.044278547,0.007026342,0.021182645,0.0022813368,0.00038726724,0.0011500205,0.079678565],"genre_scores_gemma":[0.97394353,0.00054464623,0.00013598446,0.00039844983,0.0018194716,0.00010155721,0.00014034746,0.00009861113,0.02281743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970279,0.00042392212,0.0006518888,0.00088221004,0.00060221757,0.0004119007],"domain_scores_gemma":[0.9966461,0.0022314093,0.00016299027,0.0005980723,0.00012697974,0.00023444454],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005643426,0.00045140294,0.00039735687,0.00036055592,0.00077556894,0.00063902873,0.00018722958,0.00033902985,0.003322839],"category_scores_gemma":[0.00030501862,0.00039171518,0.00031246978,0.0004991432,0.00032200664,0.00047816578,0.00009076343,0.0006164525,0.00067505543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013467458,0.00014021157,0.00008489558,0.00015267885,0.00054500974,0.000022847093,0.0016288375,0.00007693771,0.00017555634,0.969086,0.017133195,0.010819155],"study_design_scores_gemma":[0.00058290607,0.00020535913,0.0008271534,0.00021208529,0.00039516477,0.00006725117,0.0020445443,0.0010075829,0.00073987944,0.98354644,0.009936158,0.0004354616],"about_ca_topic_score_codex":0.000039850343,"about_ca_topic_score_gemma":0.0000066557286,"teacher_disagreement_score":0.1411696,"about_ca_system_score_codex":0.000106194544,"about_ca_system_score_gemma":0.00020482208,"threshold_uncertainty_score":0.9998535},"labels":[],"label_agreement":null},{"id":"W4405285589","doi":"10.1090/btran/214","title":"Generalized root systems","year":2024,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society Series B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Horizon 2020 Framework Programme; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Quotient; Mathematics; Hyperplane; Root (linguistics); Root system; Pure mathematics; Combinatorics","score_opus":0.01975164875158739,"score_gpt":0.2801397285715088,"score_spread":0.2603880798199214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405285589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72548,0.0004929079,0.26764542,0.0023473406,0.0014434878,0.00065416377,0.000039939176,0.0004659002,0.0014308476],"genre_scores_gemma":[0.9887734,0.000036666686,0.008770384,0.000037744096,0.000099340934,0.000054808348,4.9551005e-7,0.000043740314,0.002183412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987231,0.000072641196,0.00040553915,0.00020017406,0.00036770728,0.00023085404],"domain_scores_gemma":[0.99889386,0.00035511953,0.00012845555,0.00050632074,0.00005278772,0.00006343727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019035024,0.00018735335,0.00044777823,0.0000184962,0.00016899094,0.000072238254,0.00035442275,0.00005802093,0.00017991358],"category_scores_gemma":[0.00003726452,0.00011689895,0.00065236416,0.0004849054,0.00054951553,0.00012400254,0.000023836983,0.00023075954,0.000010593925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001605083,0.00005871734,0.0000038356393,0.00056760816,0.00030743904,4.918544e-7,0.0012413146,0.00016849162,0.00042499194,0.9953204,0.0015287861,0.00036186364],"study_design_scores_gemma":[0.00012199245,0.00007948537,0.000019289108,0.00014532854,0.00022883934,0.000038406717,0.0012510379,0.004163469,0.0010673803,0.99142665,0.0012850409,0.00017306558],"about_ca_topic_score_codex":0.00006109178,"about_ca_topic_score_gemma":0.000002825099,"teacher_disagreement_score":0.2632934,"about_ca_system_score_codex":0.000060452967,"about_ca_system_score_gemma":0.000058707832,"threshold_uncertainty_score":0.47670007},"labels":[],"label_agreement":null},{"id":"W4405332728","doi":"10.1007/s00029-024-01003-8","title":"The Capelli eigenvalue problem for quantum groups","year":2024,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Quantum; Eigenvalues and eigenvectors; Pure mathematics; Polynomial; Realization (probability); Algebra over a field; Mathematical analysis; Quantum mechanics; Physics","score_opus":0.031197360677218976,"score_gpt":0.30827833020426026,"score_spread":0.2770809695270413,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405332728","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3967252,0.016055996,0.4731533,0.013962669,0.012405909,0.016711278,0.000104384904,0.0052484074,0.065632865],"genre_scores_gemma":[0.98201996,0.00007461411,0.012723064,0.000059993145,0.00063807383,0.000555276,0.0000050867816,0.0001495687,0.0037743386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99826294,0.000052566305,0.00047104526,0.0003486119,0.00034316457,0.0005216904],"domain_scores_gemma":[0.99700224,0.00223669,0.00008633501,0.0004929676,0.000097968914,0.000083806306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006780305,0.00026154044,0.00030550148,0.00005013137,0.00040014283,0.00033623457,0.00044510374,0.0001221123,0.00008356535],"category_scores_gemma":[0.00037759918,0.00015715926,0.000226963,0.00027036326,0.00007770388,0.000101045116,0.00006774491,0.00021666042,0.000081602244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014364122,0.000031814558,5.047651e-7,0.000615417,0.00011716973,0.0000019257725,0.00107854,8.6022817e-7,0.00011354091,0.97991234,0.01701184,0.0011016752],"study_design_scores_gemma":[0.00016490427,0.00010758202,6.7950356e-7,0.0001347581,0.00010524536,0.000026189056,0.00014988858,0.010394955,0.00064222835,0.97444814,0.013610836,0.00021456524],"about_ca_topic_score_codex":0.0000037801776,"about_ca_topic_score_gemma":0.000006692763,"teacher_disagreement_score":0.5852948,"about_ca_system_score_codex":0.0000663012,"about_ca_system_score_gemma":0.00012472177,"threshold_uncertainty_score":0.6408769},"labels":[],"label_agreement":null},{"id":"W4405337103","doi":"10.1007/jhep12(2024)089","title":"Quiver algebras and their representations for arbitrary quivers","year":2024,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Eidgenössische Technische Hochschule Zürich; National Natural Science Foundation of China","keywords":"Quiver; Physics; Pure mathematics; Algebra over a field; Theoretical physics; Mathematics","score_opus":0.023428752545903684,"score_gpt":0.2793351732868314,"score_spread":0.2559064207409277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405337103","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63156104,0.0022481487,0.36020625,0.0008895977,0.0036572432,0.00013684583,0.000031242864,0.00007029502,0.0011993214],"genre_scores_gemma":[0.9956661,0.00012747508,0.0027986562,0.000086175896,0.001087189,0.0000039381393,0.0000023138011,0.000026003445,0.00020214703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993421,0.000024472229,0.00025223923,0.00011782141,0.00014222808,0.00012117082],"domain_scores_gemma":[0.9991091,0.00046157106,0.00013663316,0.000120927856,0.00010692599,0.00006484485],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008488895,0.000120543555,0.00022798726,0.00005166469,0.000071058705,0.000065413435,0.00011597787,0.00005283123,0.00001237937],"category_scores_gemma":[0.00003081579,0.0000852448,0.00017378786,0.00010412701,0.000045168,0.00024811196,0.000032464046,0.00012120016,3.2781426e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028068836,0.000025710684,0.000003693609,0.000037344373,0.00020226625,0.0000074874797,0.00046706045,0.00003047515,0.00010651866,0.991743,0.0038303044,0.0035180564],"study_design_scores_gemma":[0.00034160158,0.00010476689,0.000021042928,0.000056205587,0.000085330175,0.00003142816,0.00021113161,0.00020928962,0.0033978466,0.9931601,0.002285873,0.00009536487],"about_ca_topic_score_codex":0.00001840816,"about_ca_topic_score_gemma":0.0000018389709,"teacher_disagreement_score":0.36410505,"about_ca_system_score_codex":0.000028208757,"about_ca_system_score_gemma":0.00007800753,"threshold_uncertainty_score":0.34761822},"labels":[],"label_agreement":null},{"id":"W4405451491","doi":"10.4153/s0008439524000559","title":"Simple weight modules over the $N=1$ Heisenberg–Virasoro superalgebra","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Tensor product; Superalgebra; Simple module; Simple (philosophy); Pure mathematics; Series (stratigraphy); Virasoro algebra; Tensor (intrinsic definition); Algebra over a field; Product (mathematics); Geometry; Algebra representation; Cellular algebra","score_opus":0.015761040739066326,"score_gpt":0.2539374684866666,"score_spread":0.23817642774760028,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405451491","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9183244,0.0018400151,0.0029255159,0.026744494,0.0017786674,0.0012174891,0.00012264893,0.0006110382,0.0464357],"genre_scores_gemma":[0.9931783,0.000017960563,0.0005973619,0.0013218649,0.0006653942,0.00007892811,0.000011312676,0.00010468784,0.0040241857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978561,0.0000989975,0.00045982754,0.0004373888,0.00041702398,0.00073068944],"domain_scores_gemma":[0.9975816,0.0010632622,0.000038056547,0.0007348045,0.000051989075,0.0005302863],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004017534,0.00034912495,0.00037966817,0.00012254306,0.00030233923,0.00034746886,0.0005630396,0.0002153496,0.046340767],"category_scores_gemma":[0.00049240014,0.00022565672,0.0002519964,0.00025619002,0.00018347533,0.00006045004,0.00008770048,0.00044592127,0.00436449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025841844,0.000013590723,0.000009285678,0.00013017906,0.00006334368,0.000055236076,0.0002920815,0.0000014733333,0.000009760635,0.8350083,0.16386178,0.00055238034],"study_design_scores_gemma":[0.00011435952,0.000017864844,0.000052023042,0.00007791217,0.000054502998,0.000033454216,0.00006602593,0.0007953212,0.000045225683,0.7389885,0.25952092,0.00023386654],"about_ca_topic_score_codex":0.0009821097,"about_ca_topic_score_gemma":0.0008617543,"teacher_disagreement_score":0.096019775,"about_ca_system_score_codex":0.00021737372,"about_ca_system_score_gemma":0.00021920985,"threshold_uncertainty_score":0.9964107},"labels":[],"label_agreement":null},{"id":"W4405639020","doi":"10.1112/blms.13212","title":"Associahedra as moment polytopes","year":2024,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Polytope; Mathematics; Cluster algebra; Quotient; Combinatorics; Moment map; Moment (physics); Symplectic geometry; Torus; Pure mathematics; Triangulation; Algebra over a field; Geometry; Physics","score_opus":0.01723556086215815,"score_gpt":0.2790058847910727,"score_spread":0.26177032392891453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405639020","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8482805,0.0026954885,0.00953913,0.06303034,0.0032972721,0.0020875307,0.000037105412,0.0008291881,0.07020347],"genre_scores_gemma":[0.96356434,0.000058695292,0.011310922,0.0008289361,0.00037631468,0.000057942845,0.0000010860336,0.00008401938,0.02371775],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982275,0.0000775353,0.00046466663,0.0002623759,0.00066021987,0.00030771684],"domain_scores_gemma":[0.99838966,0.0008563524,0.00012432979,0.00049677613,0.00005548138,0.00007739822],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00055305875,0.00022001629,0.00038865447,0.00001261611,0.00013294158,0.00007863684,0.0005114378,0.0001806129,0.0026848398],"category_scores_gemma":[0.00033417557,0.0001313753,0.0007841788,0.0001636569,0.00017039667,0.000018652685,0.0003140529,0.00031250293,0.00020680083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005099426,0.00008197075,0.0000067422443,0.0004437775,0.00015641493,0.0000011930438,0.0008726911,0.0000015076678,0.00011467261,0.9097662,0.08818961,0.00036012672],"study_design_scores_gemma":[0.00020522533,0.00003500924,0.000015440393,0.00025913696,0.000108916865,0.000012063954,0.00017085434,0.00020971632,0.0018274108,0.94608665,0.050919935,0.00014965398],"about_ca_topic_score_codex":0.000019300436,"about_ca_topic_score_gemma":2.5725925e-7,"teacher_disagreement_score":0.11528386,"about_ca_system_score_codex":0.00009836262,"about_ca_system_score_gemma":0.00005475683,"threshold_uncertainty_score":0.9982268},"labels":[],"label_agreement":null},{"id":"W4405783695","doi":"10.48550/arxiv.2412.18127","title":"$N=1$ super Virasoro tensor categories","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Shanghai Jiao Tong University; Tsinghua University; National Natural Science Foundation of China; Universität Hamburg; Deutsche Forschungsgemeinschaft; Alexander von Humboldt-Stiftung; National Science Foundation","keywords":"Tensor (intrinsic definition); Mathematics; Pure mathematics","score_opus":0.09998418055047265,"score_gpt":0.21530828991927362,"score_spread":0.11532410936880097,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405783695","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9838998,0.00025491943,0.002232244,0.0001211921,0.003406148,0.0003912681,0.000041001604,0.00048891763,0.009164556],"genre_scores_gemma":[0.98894083,0.000093160605,0.00016503171,0.00004931165,0.00042443833,0.0000022087524,0.000014944441,0.000081473605,0.010228568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817586,0.00008026063,0.00025553504,0.0009667154,0.00012734126,0.00039429503],"domain_scores_gemma":[0.99830633,0.0002265998,0.00013626806,0.0010287063,0.00014933254,0.0001527385],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00013911977,0.00047124093,0.0005337784,0.0001829964,0.00013219206,0.00012169017,0.00073625956,0.0005629869,0.0003283119],"category_scores_gemma":[0.000113279,0.0004645019,0.00038547273,0.00029561392,0.00015100151,0.00008039151,0.0017620788,0.001031466,0.0001917363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003664417,0.000040150735,0.000194414,0.00033976734,0.00023832198,0.0002387239,0.00039457477,0.0012913448,0.000009501178,0.99430525,0.0028657885,0.00004553733],"study_design_scores_gemma":[0.000275647,0.00003277814,0.000042563148,0.00010882216,0.00040463664,0.0000060867,0.00031507658,0.0036837081,0.000114802155,0.9935386,0.0009597614,0.00051750464],"about_ca_topic_score_codex":0.00018524902,"about_ca_topic_score_gemma":0.000037720267,"teacher_disagreement_score":0.00504111,"about_ca_system_score_codex":0.0002279109,"about_ca_system_score_gemma":0.00020867196,"threshold_uncertainty_score":0.99978065},"labels":[],"label_agreement":null},{"id":"W4406045771","doi":"10.1016/j.aim.2024.110092","title":"Shifted symplectic structures on derived Quot-stacks II – derived Quot-schemes as dg manifolds","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Algebra over a field","score_opus":0.015773250834828844,"score_gpt":0.323685317116748,"score_spread":0.30791206628191914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406045771","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9697622,0.0013267469,0.006140032,0.00024719656,0.0013111883,0.0009088352,0.000009699476,0.000291253,0.02000287],"genre_scores_gemma":[0.9718433,0.00034028917,0.025865423,0.0003675532,0.00012962629,0.0001247505,0.000009582174,0.0000882126,0.0012312443],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969021,0.00011025568,0.001029892,0.00064867636,0.0006130432,0.0006960409],"domain_scores_gemma":[0.9970408,0.001254016,0.00042020902,0.0010228233,0.0001444351,0.0001176811],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002931054,0.00063147605,0.00092906365,0.0003238467,0.00036868037,0.00010120204,0.0007934453,0.00032941677,0.000308414],"category_scores_gemma":[0.001351547,0.00054960646,0.00020922738,0.000659695,0.00016472026,0.00031929478,0.0003242553,0.0005208824,0.000021041747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007977011,0.00025151536,0.000090090354,0.0006418558,0.00010767838,0.000020137659,0.0021842597,0.00012363793,0.00071569096,0.9938639,0.00017812918,0.0017433347],"study_design_scores_gemma":[0.0012716249,0.00018590206,0.0001436496,0.00049890217,0.00010351991,0.000013966744,0.0012741315,0.0006498068,0.01172598,0.9818805,0.0017267833,0.00052526523],"about_ca_topic_score_codex":0.000014778546,"about_ca_topic_score_gemma":0.0000847742,"teacher_disagreement_score":0.01972539,"about_ca_system_score_codex":0.00022849234,"about_ca_system_score_gemma":0.0001550684,"threshold_uncertainty_score":0.99969554},"labels":[],"label_agreement":null},{"id":"W4406053587","doi":"10.1016/j.jalgebra.2024.11.032","title":"Affine super Yangians and deformed double current superalgebras","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine transformation; Current (fluid); Pure mathematics; Algebra over a field; Physics","score_opus":0.024934446614188605,"score_gpt":0.32510454574489267,"score_spread":0.3001700991307041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406053587","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9924176,0.0023731038,0.00068750593,0.001079319,0.0019928382,0.00015342582,0.0000018763866,0.000024501818,0.0012698384],"genre_scores_gemma":[0.9979049,0.00025272064,0.00085169537,0.00014455421,0.00039758618,0.0000032787627,8.992745e-7,0.000020478019,0.00042390765],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985996,0.00003775524,0.00061799516,0.00015320977,0.00032191302,0.0002695606],"domain_scores_gemma":[0.999039,0.00018554513,0.00020076887,0.0002201656,0.00022345914,0.00013107117],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031894667,0.00020343803,0.00045727825,0.00022387665,0.000107740605,0.00008110238,0.0002709112,0.00010774774,0.00018162579],"category_scores_gemma":[0.00014366177,0.00014796684,0.00018758047,0.0002379284,0.000067219065,0.00026012587,0.00010264257,0.0003774141,0.0000032772068],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017833899,0.00010874929,0.001406807,0.00011460552,0.00014591262,0.0000111099425,0.0004754955,0.0000011167211,0.00027387816,0.98351866,0.0085042855,0.005261047],"study_design_scores_gemma":[0.0026975374,0.00011975846,0.0014820604,0.00018487503,0.00015219332,0.000090977774,0.00016606778,0.000012372752,0.0018614809,0.98541355,0.0076497965,0.00016932261],"about_ca_topic_score_codex":0.00000812297,"about_ca_topic_score_gemma":0.000008297639,"teacher_disagreement_score":0.0054872893,"about_ca_system_score_codex":0.00007727765,"about_ca_system_score_gemma":0.00017344258,"threshold_uncertainty_score":0.6033913},"labels":[],"label_agreement":null},{"id":"W4406121580","doi":"10.1016/j.jalgebra.2024.12.014","title":"On the representation theory of Schur algebras in type B","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Toronto","funders":"Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Mitacs; Government of Canada; University of Sydney","keywords":"Mathematics; Schur algebra; Schur's theorem; Type (biology); Pure mathematics; Representation theory; Schur's lemma; Schur product theorem; Schur complement; Algebra over a field; Schur multiplier; Representation (politics); Schur decomposition; Symmetric group; Eigenvalues and eigenvectors","score_opus":0.03602370679291813,"score_gpt":0.32242015191213963,"score_spread":0.2863964451192215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406121580","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99392426,0.00024451365,0.0005153995,0.0009068885,0.0008689016,0.00011576984,3.661362e-7,0.0000051047837,0.0034187904],"genre_scores_gemma":[0.9991556,0.000034869376,0.0002577923,0.00023095534,0.00007755566,0.0000012731701,1.5596738e-7,0.000008659425,0.00023318052],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879247,0.00019654795,0.00053607044,0.00008262949,0.00028354346,0.00010876082],"domain_scores_gemma":[0.9976597,0.0014724233,0.0003989436,0.0002568787,0.00018824711,0.000023797438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008269774,0.000092835995,0.00026469893,0.0001806441,0.000035912442,0.000017588836,0.0002976244,0.00007167298,0.00015659166],"category_scores_gemma":[0.0018022415,0.000056237393,0.000115379866,0.00040222667,0.000051339703,0.00008024858,0.000042949498,0.00028507094,0.000002287319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026517967,0.000066107226,0.00036330734,0.00001858382,0.00007277592,0.0000049391833,0.00035194578,0.000021817008,0.00023820474,0.99465364,0.0028029627,0.0011405579],"study_design_scores_gemma":[0.00050233846,0.00013047305,0.0026618731,0.00016521256,0.00003626708,0.0000059709723,0.00037815596,0.000018238028,0.0043760976,0.99161434,0.00006421258,0.00004680256],"about_ca_topic_score_codex":0.000004540728,"about_ca_topic_score_gemma":0.0000020613977,"teacher_disagreement_score":0.005231293,"about_ca_system_score_codex":0.00004161931,"about_ca_system_score_gemma":0.00011532001,"threshold_uncertainty_score":0.22932944},"labels":[],"label_agreement":null},{"id":"W4406151049","doi":"10.4153/s000843952400081x","title":"Equivalences of stable categories of Gorenstein local rings","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Equivalence (formal languages); Pure mathematics; Local ring; Ring (chemistry)","score_opus":0.016065598528896857,"score_gpt":0.2629590415769917,"score_spread":0.24689344304809482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406151049","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8753578,0.00039426694,0.021579467,0.002717427,0.00047978197,0.00060380815,0.00004224335,0.000061499726,0.0987637],"genre_scores_gemma":[0.99507207,0.000004623465,0.0021444377,0.00007837463,0.000022180184,0.00001363108,0.0000014524618,0.000015117045,0.0026481405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986232,0.000042773485,0.00056255347,0.00019004242,0.00023675192,0.00034470586],"domain_scores_gemma":[0.99863666,0.00051227916,0.00014038879,0.00037482087,0.00014953839,0.00018631482],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002953957,0.00016686595,0.0005113095,0.00015645556,0.000062206804,0.000016188535,0.0003491809,0.00014082866,0.0037928906],"category_scores_gemma":[0.00063835597,0.00014351892,0.00011076172,0.00023654033,0.00037733538,0.000021473536,0.000066310866,0.00013128927,0.000064645785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008852961,0.000028881765,0.000054935004,0.0007090039,0.000045556215,0.0000032182406,0.00031917624,0.000004722078,0.000035835088,0.99362606,0.0047166822,0.0004471034],"study_design_scores_gemma":[0.00022799324,0.000041902207,0.00004041838,0.0002681021,0.000052012394,0.0000023483954,0.0006874949,0.00008375642,0.0045307013,0.9909021,0.0030399237,0.00012320917],"about_ca_topic_score_codex":0.0028638074,"about_ca_topic_score_gemma":0.0006274228,"teacher_disagreement_score":0.11971423,"about_ca_system_score_codex":0.00008678082,"about_ca_system_score_gemma":0.00036712448,"threshold_uncertainty_score":0.99711776},"labels":[],"label_agreement":null},{"id":"W4406219101","doi":"10.4153/s000843952400078x","title":"Presentation of an Iwasawa algebra: The pro-<i>p</i> Iwahori of simple, simply connected, split groups","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Simple (philosophy); Algebra over a field; Presentation (obstetrics); Group (periodic table); Pure mathematics; Combinatorics","score_opus":0.018279651839396234,"score_gpt":0.2815277957569346,"score_spread":0.26324814391753837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406219101","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98098725,0.00008193,0.0025994463,0.0036209088,0.00022796576,0.0012048373,0.000050070314,0.00005188699,0.0111757],"genre_scores_gemma":[0.99757046,0.000004007887,0.0013788338,0.00042026278,0.00007918097,0.0000661922,0.000014200779,0.000032636864,0.0004342027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979765,0.00017065689,0.0007830488,0.00029828184,0.00035473637,0.0004168107],"domain_scores_gemma":[0.9973711,0.0010964548,0.00024898892,0.00078670634,0.00024430768,0.00025245422],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00050878536,0.00024211043,0.0005329646,0.00014819948,0.00011930325,0.000041217496,0.000601386,0.00018890774,0.0022351483],"category_scores_gemma":[0.0013978372,0.00017932238,0.000152678,0.00037003227,0.00025511967,0.000048070306,0.00007755836,0.0002237782,0.00005330298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025596008,0.000073544754,0.00003664498,0.0004207393,0.000070320486,0.0000038805574,0.00054873707,0.0000062431013,0.00008231129,0.9890231,0.0088054985,0.00090339174],"study_design_scores_gemma":[0.0004980613,0.000087815584,0.0002558802,0.00011823832,0.000111453905,0.0000067498795,0.0007137411,0.00046696403,0.0015471927,0.99260294,0.0034233853,0.00016756565],"about_ca_topic_score_codex":0.001104506,"about_ca_topic_score_gemma":0.000999594,"teacher_disagreement_score":0.016583228,"about_ca_system_score_codex":0.00008478357,"about_ca_system_score_gemma":0.00023243835,"threshold_uncertainty_score":0.99867696},"labels":[],"label_agreement":null},{"id":"W4406665568","doi":"10.1103/physrevb.111.045142","title":"Topological orders beyond topological quantum field theories","year":2025,"lang":"en","type":"article","venue":"Physical review. B./Physical review. B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Leverhulme Trust; Institute for Advanced Study; Canada First Research Excellence Fund; National Science Foundation","keywords":"Topology (electrical circuits); Field (mathematics); Topological degeneracy; Topological entropy in physics; Topological quantum field theory; Quantum; Physics; Quantum field theory; Topological order; Theoretical physics; Symmetry protected topological order; Topological quantum number; Mathematics; Quantum mechanics; Pure mathematics; Combinatorics","score_opus":0.022659811033337602,"score_gpt":0.41406588856580856,"score_spread":0.391406077532471,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406665568","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66819596,0.13919361,0.029907512,0.08065824,0.0036192772,0.007084928,0.000048532856,0.0012060223,0.070085905],"genre_scores_gemma":[0.9354193,0.037256397,0.00026506116,0.025534654,0.00083447143,0.00035637137,0.000014141424,0.000045358884,0.0002741979],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99560934,0.0006234604,0.0010326542,0.001038832,0.0008126216,0.0008831119],"domain_scores_gemma":[0.99416006,0.0035171276,0.00037190606,0.0013184494,0.0002578062,0.00037464968],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005873996,0.0007932173,0.0025923222,0.000054616386,0.0002966077,0.00006706532,0.0011394345,0.00017178452,0.0005483972],"category_scores_gemma":[0.0081316605,0.00052556477,0.0013450128,0.0009809034,0.00045175618,0.00019422817,0.0005833803,0.0010807985,0.00017930244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036507776,0.00056631916,0.000043093314,0.0034234005,0.00010804515,0.0000109546245,0.000036362788,3.226571e-7,0.00012654305,0.97126245,0.018242426,0.006143581],"study_design_scores_gemma":[0.00033048994,0.00037109602,0.000062194704,0.0037659218,0.0006062186,0.000005045452,0.00001847713,0.00032836464,0.0006395794,0.9707256,0.02258776,0.0005592462],"about_ca_topic_score_codex":0.000023769046,"about_ca_topic_score_gemma":0.0000024723215,"teacher_disagreement_score":0.26722336,"about_ca_system_score_codex":0.00009714216,"about_ca_system_score_gemma":0.00016147901,"threshold_uncertainty_score":0.9997196},"labels":[],"label_agreement":null},{"id":"W4406737582","doi":"10.1103/physrevb.111.035141","title":"Krylov complexity and chaos in deformed Sachdev-Ye-Kitaev models","year":2025,"lang":"en","type":"article","venue":"Physical review. B./Physical review. B","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"High Energy Physics; Science and Technology Facilities Council; Azrieli Foundation; Israel Science Foundation; Deutsche Forschungsgemeinschaft; King's College London; UK Research and Innovation","keywords":"CHAOS (operating system); Statistical physics; Mathematics; Applied mathematics; Computer science; Physics","score_opus":0.05602115708678152,"score_gpt":0.42078595620716236,"score_spread":0.36476479912038084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406737582","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.848616,0.11155699,0.009758071,0.0075143757,0.0006022384,0.0059117996,0.00004758225,0.00032292414,0.015670033],"genre_scores_gemma":[0.93575984,0.05867876,0.00045006842,0.00420521,0.00034192376,0.00039580418,0.000019690147,0.0000610337,0.000087667206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99606496,0.0003895531,0.0010772183,0.0009534778,0.000733156,0.0007816382],"domain_scores_gemma":[0.99704224,0.0009744433,0.00036235052,0.0011181728,0.00019431688,0.00030847872],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00054976123,0.00072673796,0.0026808819,0.00008947405,0.00015437814,0.000052915246,0.00069816614,0.00009534552,0.00003781336],"category_scores_gemma":[0.0012126497,0.00055409636,0.0006911693,0.0010622987,0.00029567585,0.00035250353,0.00047996987,0.00082263764,0.0000585553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019247675,0.0005517044,0.00007367829,0.009166697,0.00006900036,0.0000046750674,0.0000795284,0.0000021079804,0.000103135266,0.97520876,0.002442703,0.012278759],"study_design_scores_gemma":[0.0006192908,0.00009401493,0.00052170857,0.011176689,0.00040315322,0.0000036615672,0.0000072164235,0.009232201,0.00012650207,0.9744606,0.0028287552,0.0005262161],"about_ca_topic_score_codex":0.00004874623,"about_ca_topic_score_gemma":0.000014274668,"teacher_disagreement_score":0.08714386,"about_ca_system_score_codex":0.00017274273,"about_ca_system_score_gemma":0.00014145217,"threshold_uncertainty_score":0.99969107},"labels":[],"label_agreement":null},{"id":"W4406864863","doi":"10.1016/j.jalgebra.2025.01.017","title":"Group gradings on exceptional simple Lie superalgebras","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Università degli Studi della Basilicata; University of Salento; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Simple (philosophy); Simple Lie group; Group (periodic table); Simple group; Pure mathematics; Representation of a Lie group; Algebra over a field; Lie group; Chemistry","score_opus":0.021766065387131453,"score_gpt":0.3079969956750622,"score_spread":0.2862309302879308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406864863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99392986,0.0001600874,0.0014754832,0.0010068374,0.0017079159,0.0001059365,0.0000029383023,0.000031146043,0.0015798042],"genre_scores_gemma":[0.99675286,0.00003256778,0.0011980752,0.00087689847,0.0007223469,0.0000031251109,0.000002067774,0.000023817018,0.00038824958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982868,0.00006827962,0.00067482074,0.000173162,0.00052875193,0.00026819255],"domain_scores_gemma":[0.9986469,0.00046429512,0.00032394315,0.00024622816,0.00019735261,0.0001212435],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039936943,0.00021297066,0.0004331737,0.0002729226,0.00014376375,0.000078616846,0.00040274326,0.00014010328,0.00048238886],"category_scores_gemma":[0.00036293222,0.00016735315,0.00032230973,0.00027385514,0.00005952139,0.0002098006,0.000066905515,0.000443471,0.000013670845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012171832,0.0001314033,0.00043418107,0.000033272543,0.00013514505,0.000016712282,0.00014140007,8.9477595e-7,0.0004902145,0.9652688,0.031948157,0.0012781272],"study_design_scores_gemma":[0.0011045901,0.00031727122,0.0021871375,0.00011381703,0.000072557865,0.000044254117,0.000092977294,0.000005852752,0.0009784836,0.99037784,0.0045555285,0.00014967435],"about_ca_topic_score_codex":0.0000047012304,"about_ca_topic_score_gemma":0.0000019528095,"teacher_disagreement_score":0.027392628,"about_ca_system_score_codex":0.0001306575,"about_ca_system_score_gemma":0.00011270544,"threshold_uncertainty_score":0.68244636},"labels":[],"label_agreement":null},{"id":"W4406902317","doi":"10.21468/scipostphys.18.1.035","title":"Bethe Ansatz inside Calogero-Sutherland models","year":2025,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Azrieli Foundation; Fondation Mathématique Jacques Hadamard; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Yangian; Bethe ansatz; Integrable system; Mathematical physics; Spin (aerodynamics); Symmetry (geometry); Quantum mechanics; Physics; Mathematics; Quantum; Geometry","score_opus":0.043916371390185116,"score_gpt":0.3134853175475718,"score_spread":0.2695689461573867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406902317","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91420555,0.00028309546,0.039622556,0.0005717559,0.0018986135,0.0005190464,0.000024298011,0.00028824987,0.04258681],"genre_scores_gemma":[0.99717426,0.000008932441,0.0011396138,0.00033593277,0.00027219346,0.000017593973,0.000005452017,0.00002909008,0.0010169521],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988708,0.00005129127,0.00024237068,0.0002916743,0.00024727735,0.00029659073],"domain_scores_gemma":[0.99900115,0.00020487866,0.000081295744,0.0005449018,0.00010437516,0.0000634299],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012849757,0.0002083779,0.00032074662,0.000039550065,0.00017437723,0.000059864335,0.00031155048,0.000119709905,0.000021168407],"category_scores_gemma":[0.00004747207,0.00017452035,0.00012533754,0.00030178018,0.000083338644,0.00015318228,0.00013469662,0.00021883266,0.000014475752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019002988,0.000057966983,0.000087814275,0.000040736613,0.00007324097,0.0000019232925,0.00055792637,0.00023250397,0.0001888547,0.99419695,0.001844269,0.0026987921],"study_design_scores_gemma":[0.00043825095,0.000027567883,0.000058318117,0.00004960126,0.00006057947,8.6163425e-7,0.00007281645,0.0021956249,0.0022628917,0.9941876,0.00046588958,0.00018001169],"about_ca_topic_score_codex":0.000049437127,"about_ca_topic_score_gemma":0.000014822935,"teacher_disagreement_score":0.08296867,"about_ca_system_score_codex":0.0000529556,"about_ca_system_score_gemma":0.00011283131,"threshold_uncertainty_score":0.7116733},"labels":[],"label_agreement":null},{"id":"W4407012470","doi":"10.48550/arxiv.2501.18396","title":"Finiteness properties of generalized Montréal functors with applications to mod $p$ representations of $\\mathrm{GL}_n(\\mathbb{Q}_p)$","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mod; Functor; Mathematics; Pure mathematics; Physics; Combinatorics","score_opus":0.08348984617031253,"score_gpt":0.30859960984072093,"score_spread":0.2251097636704084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407012470","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96391624,0.0005857184,0.031924054,0.00032181255,0.00038337192,0.0019615158,0.000120542834,0.00011674291,0.0006699931],"genre_scores_gemma":[0.99004453,0.000060236354,0.007069208,0.00008014409,0.00014870965,0.0013433829,0.000046020865,0.000054778255,0.0011529664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975127,0.0001444275,0.0009374886,0.0006408742,0.00047688943,0.00028761814],"domain_scores_gemma":[0.9967385,0.00025110398,0.00062648003,0.0016062451,0.0006637455,0.00011394093],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002528102,0.00043111405,0.0009543933,0.00023555083,0.00012627893,0.000029273086,0.0006925303,0.00030593458,0.00003375361],"category_scores_gemma":[0.0003009959,0.000338237,0.00025095005,0.0004282952,0.00011143763,0.000066794506,0.00068503345,0.00034119454,0.000004649647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007945393,0.0010953682,0.041819245,0.0062886174,0.0019468118,0.0000062787162,0.008266142,0.019087005,0.005403604,0.9121884,0.0020840317,0.0010199333],"study_design_scores_gemma":[0.0030220433,0.00039033563,0.010932974,0.002775787,0.0015906149,0.0000071543604,0.001960547,0.0022587967,0.04435602,0.92941564,0.0015573078,0.0017327756],"about_ca_topic_score_codex":0.0013333034,"about_ca_topic_score_gemma":0.00012876544,"teacher_disagreement_score":0.038952414,"about_ca_system_score_codex":0.00007190414,"about_ca_system_score_gemma":0.00036996612,"threshold_uncertainty_score":0.99990696},"labels":[],"label_agreement":null},{"id":"W4407185352","doi":"10.48550/arxiv.2502.01974","title":"Quantum expanders and property (T) discrete quantum groups","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek","keywords":"Quantum; Property (philosophy); Physics; Pure mathematics; Mathematics; Quantum mechanics; Philosophy","score_opus":0.06859115547441758,"score_gpt":0.31049021378060493,"score_spread":0.24189905830618735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407185352","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9909712,0.0006331731,0.0018169899,0.00075259816,0.003056772,0.0008276242,0.000026777943,0.0002518521,0.0016630316],"genre_scores_gemma":[0.996745,0.00025735557,0.00023089266,0.00018751548,0.0003935287,0.00012725407,0.000024234138,0.000060534974,0.00197369],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975455,0.00013421557,0.0005909815,0.00089386996,0.00035794015,0.0004775317],"domain_scores_gemma":[0.998101,0.00024913898,0.00030308773,0.0010749716,0.00011055225,0.00016126798],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026794415,0.00058187294,0.0008182045,0.00011323291,0.00021466034,0.00011077204,0.0005757969,0.0005676165,0.00006668804],"category_scores_gemma":[0.0003222594,0.0003923599,0.00024487122,0.00012070086,0.00013481853,0.00010121208,0.001428452,0.0009549179,0.000012138274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000120340876,0.00010050907,0.032456934,0.0016013033,0.00042534326,0.000025123443,0.0020332034,0.000013616186,0.00007270643,0.9590303,0.0036366687,0.00048400092],"study_design_scores_gemma":[0.0006361105,0.00007214914,0.004903521,0.0005033257,0.00020370043,0.0000057960306,0.00039044995,0.0013911305,0.00014353453,0.9902666,0.0008676806,0.0006159789],"about_ca_topic_score_codex":0.00027582934,"about_ca_topic_score_gemma":0.000027159565,"teacher_disagreement_score":0.031236371,"about_ca_system_score_codex":0.000096481344,"about_ca_system_score_gemma":0.00020505258,"threshold_uncertainty_score":0.99985284},"labels":[],"label_agreement":null},{"id":"W4407294215","doi":"10.5802/aif.3688","title":"The <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>R</mml:mi> </mml:math> -matrix formalism for quantized enveloping algebras","year":2025,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Formalism (music); Algebra over a field; Mathematics; Pure mathematics","score_opus":0.024976840579476953,"score_gpt":0.28163970180791054,"score_spread":0.25666286122843357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407294215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97422075,0.0035620788,0.009371677,0.0019702227,0.0049072243,0.00036569455,0.00008858084,0.00019924292,0.0053145466],"genre_scores_gemma":[0.987782,0.001521583,0.005924037,0.0014891215,0.0013448235,0.00052880845,0.000090659014,0.00016903764,0.0011499298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995891,0.0001263476,0.00116261,0.0007228534,0.0007812363,0.0013159843],"domain_scores_gemma":[0.99605495,0.0013764472,0.00075758225,0.0013232387,0.00021167018,0.0002761143],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0012194167,0.00062504696,0.00050154584,0.00015831062,0.0021144322,0.0007933285,0.0011889304,0.0008311778,0.00006762361],"category_scores_gemma":[0.0013551173,0.0006272175,0.00097470474,0.00040918012,0.0005979552,0.00053493574,0.00068622385,0.0007534754,0.00029202882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047035998,0.00009958586,0.000008359473,0.0009921198,0.00088499597,0.00009553693,0.0019260583,0.00016607887,0.000063565894,0.9858365,0.007485735,0.0019710702],"study_design_scores_gemma":[0.0025179791,0.0003338682,0.000026093625,0.0012947378,0.0010464052,0.00019405555,0.0014643905,0.29441077,0.0042007435,0.51673454,0.17688471,0.0008917153],"about_ca_topic_score_codex":0.00015533056,"about_ca_topic_score_gemma":0.00016854606,"teacher_disagreement_score":0.469102,"about_ca_system_score_codex":0.000057315414,"about_ca_system_score_gemma":0.0013026573,"threshold_uncertainty_score":0.99961793},"labels":[],"label_agreement":null},{"id":"W4407316891","doi":"10.1090/ert/684","title":"Kazhdan-Laumon category O, Braverman-Kazhdan Schwartz space, and the semi-infinite flag variety","year":2025,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Flag (linear algebra); Mathematics; Variety (cybernetics); Space (punctuation); Pure mathematics; Generalized flag variety; Algebra over a field; Lie group; Linguistics; Statistics","score_opus":0.015928012757913827,"score_gpt":0.29769130261354726,"score_spread":0.2817632898556334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407316891","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8911508,0.0002575568,0.080756016,0.0045135575,0.00043855133,0.0014938784,0.000011772108,0.00016675322,0.021211151],"genre_scores_gemma":[0.9946404,0.0000809374,0.0021133767,0.00078224356,0.0000774348,0.000055211567,0.0000017998126,0.00003173013,0.002216865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99740314,0.00073652633,0.0006402782,0.00037398076,0.0005295719,0.0003165037],"domain_scores_gemma":[0.9935628,0.004519194,0.0006542276,0.0010398941,0.00014664762,0.000077206976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014127125,0.00028901713,0.0007239806,0.000033180855,0.0004214102,0.000082783314,0.00061364606,0.000100439174,0.00009386452],"category_scores_gemma":[0.0013771415,0.0001635426,0.0005839096,0.0006597415,0.0025028724,0.000112185524,0.00047569207,0.00039318725,0.0000061268147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016172217,0.00007088483,0.00025718941,0.00017634289,0.00031793732,2.9090782e-7,0.0037502258,0.00003433452,0.00026538485,0.99229795,0.0019087342,0.0007590139],"study_design_scores_gemma":[0.0010922916,0.000025614181,0.0010483809,0.0000832279,0.0002869965,0.000007568617,0.004585758,0.0030961474,0.0019854764,0.9874786,0.00014199059,0.00016790496],"about_ca_topic_score_codex":0.00006656482,"about_ca_topic_score_gemma":0.0000012833503,"teacher_disagreement_score":0.10348964,"about_ca_system_score_codex":0.00005915743,"about_ca_system_score_gemma":0.00008554587,"threshold_uncertainty_score":0.9221937},"labels":[],"label_agreement":null},{"id":"W4407669217","doi":"10.1112/blms.70025","title":"Ind‐étale versus formally étale","year":2025,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Mathematics; Conjecture; Noetherian; Hochschild homology; Rigidity (electromagnetism); Pure mathematics; Zero (linguistics); Property (philosophy); Homology (biology); Algebra over a field; Physics; Chemistry","score_opus":0.019947618413190378,"score_gpt":0.2805243825974924,"score_spread":0.26057676418430203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407669217","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8608549,0.0003702592,0.010715931,0.010790041,0.0024380123,0.0014940529,0.00001709364,0.00025350618,0.11306616],"genre_scores_gemma":[0.96986544,0.000020034615,0.0189579,0.0005951691,0.00012296684,0.00005050708,0.0000012937415,0.000037971164,0.010348744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842554,0.00006354507,0.0005171788,0.0002262213,0.0004421977,0.0003253012],"domain_scores_gemma":[0.99794847,0.0009914475,0.00020988869,0.00069508754,0.000097294615,0.000057813395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004174106,0.00022090452,0.00042765398,0.000015400921,0.00020509592,0.000033706852,0.0007112697,0.0002153698,0.0008964246],"category_scores_gemma":[0.00068781525,0.00014546074,0.00065986364,0.00020025138,0.0002522195,0.000020885855,0.00049939303,0.0002980788,0.000040476316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006115603,0.00014003657,0.000022632219,0.00039945025,0.00014202124,2.5217562e-7,0.0004052755,0.0000037667405,0.000047126658,0.9426218,0.055884026,0.0002724567],"study_design_scores_gemma":[0.001538434,0.00004547203,0.000058525886,0.00016398005,0.0001244395,0.0000020738398,0.00032550568,0.0001593144,0.0023042436,0.9818546,0.013270804,0.0001526183],"about_ca_topic_score_codex":0.0000099568815,"about_ca_topic_score_gemma":8.831455e-7,"teacher_disagreement_score":0.109010465,"about_ca_system_score_codex":0.000068905305,"about_ca_system_score_gemma":0.000060920403,"threshold_uncertainty_score":0.981522},"labels":[],"label_agreement":null},{"id":"W4408333632","doi":"10.1090/conm/813/16281","title":"Affine 𝑊-algebras","year":2025,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Affine transformation; Mathematics; Pure mathematics; Computer science; Algebra over a field","score_opus":0.03372897508541656,"score_gpt":0.3033018913854465,"score_spread":0.26957291630002994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408333632","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00014508839,0.00090965274,0.04823093,0.00054939574,0.00066430384,0.0019316279,0.00015196853,0.0020039922,0.94541305],"genre_scores_gemma":[0.0050684153,0.00018788851,0.16222171,0.0007334641,0.0010464295,0.0003053383,0.0000692081,0.0017125764,0.82865494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9947646,0.0001658717,0.001672753,0.0011795177,0.0012453804,0.00097183645],"domain_scores_gemma":[0.9936166,0.0017144115,0.0017651747,0.0023083016,0.00016491162,0.00043062205],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.00067820004,0.0014865021,0.0032332023,0.00024786152,0.00020465662,0.00018486283,0.0014898506,0.00085429644,0.0067472677],"category_scores_gemma":[0.0010331484,0.0012544488,0.0015280853,0.00089596026,0.0011075109,0.00010226315,0.00070134125,0.0010561091,0.00039994172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058421715,0.00037171328,0.0000034597692,0.0016914711,0.00061296765,0.000008206742,0.00041839815,8.948132e-8,0.0000037481302,0.50121766,0.49533078,0.0003356681],"study_design_scores_gemma":[0.00076253654,0.00010791136,0.0000011190998,0.0015355176,0.00035163783,0.000011240239,0.0009772095,0.00033825522,0.00003300176,0.8787599,0.11596632,0.0011553051],"about_ca_topic_score_codex":0.00011045714,"about_ca_topic_score_gemma":0.0000069849584,"teacher_disagreement_score":0.37936446,"about_ca_system_score_codex":0.00021205014,"about_ca_system_score_gemma":0.0006413184,"threshold_uncertainty_score":0.9997884},"labels":[],"label_agreement":null},{"id":"W4408333801","doi":"10.1090/conm/813/16286","title":"On near-group centers and super-modular categories","year":2025,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Group (periodic table); Modular design; Computer science; Chemistry; Programming language","score_opus":0.021798754049716432,"score_gpt":0.27684477273866476,"score_spread":0.25504601868894833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408333801","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0068727895,0.0017632098,0.055725202,0.0010687454,0.0010955229,0.003933647,0.00032878877,0.0021285906,0.9270835],"genre_scores_gemma":[0.17995317,0.0008258925,0.26023057,0.0032066964,0.0011906992,0.0008099786,0.00023385229,0.0040536877,0.54949546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958786,0.00015787536,0.0011567271,0.0010725007,0.0009673542,0.0007669723],"domain_scores_gemma":[0.9952294,0.0017746809,0.00096411706,0.001552826,0.00009092415,0.00038805095],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00051789003,0.0012557755,0.0024669063,0.00014233984,0.00029071688,0.00029389688,0.0007987334,0.00062961504,0.0009620646],"category_scores_gemma":[0.0006867131,0.0010341777,0.0007924769,0.00044951303,0.0016550085,0.000096112366,0.00048565943,0.0008682469,0.00008360781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015650461,0.0004163521,0.00000834915,0.0021824653,0.0006098372,0.000010585342,0.0011834761,2.6445827e-7,0.000005348959,0.7145774,0.28077883,0.00021144669],"study_design_scores_gemma":[0.00089229585,0.00026018787,0.0000036428069,0.0015616339,0.00026774695,0.000011054333,0.001627057,0.00095830916,0.000015105293,0.97021645,0.02317071,0.0010158323],"about_ca_topic_score_codex":0.00014892058,"about_ca_topic_score_gemma":0.00000560988,"teacher_disagreement_score":0.37758806,"about_ca_system_score_codex":0.00015048991,"about_ca_system_score_gemma":0.00027656797,"threshold_uncertainty_score":0.9999512},"labels":[],"label_agreement":null},{"id":"W4408361461","doi":"10.1016/j.jalgebra.2025.03.003","title":"Conjugation on reddening sequences and conjugation difference","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Science Foundation of Zhejiang Province; National Natural Science Foundation of China","keywords":"Mathematics; Pure mathematics","score_opus":0.022882762316482397,"score_gpt":0.3081591056746655,"score_spread":0.2852763433581831,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408361461","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9945802,0.00017188591,0.002520031,0.00079305447,0.0007695796,0.00007520987,6.1725916e-7,0.000011938126,0.0010774721],"genre_scores_gemma":[0.99863464,0.000041905627,0.0008126354,0.00018906772,0.0001435678,0.0000012309075,3.6942546e-7,0.000005600645,0.00017100501],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916035,0.000055714478,0.00036597258,0.00009325839,0.00022935496,0.00009533312],"domain_scores_gemma":[0.9989667,0.00038953542,0.00034759,0.00009775978,0.00015557777,0.00004286883],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025474437,0.00009623537,0.0002187195,0.00011790089,0.0000843549,0.00006426989,0.00012215252,0.0000706186,0.000017025312],"category_scores_gemma":[0.00041418168,0.00007263188,0.000051561612,0.00010824267,0.000048836577,0.00011852854,0.000025318453,0.00018717498,6.9481564e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067949855,0.000019164414,0.00064222084,0.000033992896,0.000049885806,0.0000045446536,0.0004028551,0.000007377048,0.0015508919,0.99262124,0.0003711797,0.004228686],"study_design_scores_gemma":[0.0005303159,0.00017997327,0.0036197782,0.00021714713,0.000036184934,0.000020031479,0.00020072158,0.00013190028,0.0054656565,0.9894563,0.00007367839,0.00006833469],"about_ca_topic_score_codex":0.0000037480297,"about_ca_topic_score_gemma":0.0000010070843,"teacher_disagreement_score":0.0041603516,"about_ca_system_score_codex":0.00004255479,"about_ca_system_score_gemma":0.000071720046,"threshold_uncertainty_score":0.2961842},"labels":[],"label_agreement":null},{"id":"W4408695047","doi":"10.1073/pnas.2408572122","title":"BCFW tilings and cluster adjacency for the amplituhedron","year":2025,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Israel Science Foundation; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Grassmannian; Physics; Cluster algebra; Adjacency list; Conjecture; Theoretical physics; Combinatorics; Pure mathematics; Mathematics; Quantum mechanics","score_opus":0.06087882517569298,"score_gpt":0.3578347996087031,"score_spread":0.29695597443301014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408695047","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97877836,0.0004383374,0.00007675752,0.014694208,0.000115046736,0.00058998313,0.0000061709466,0.0000128777065,0.005288248],"genre_scores_gemma":[0.9974851,0.000018040022,0.0016798332,0.0003572128,0.00005485213,0.000018991623,1.293377e-8,0.0000022710735,0.00038369963],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912,0.0000026657528,0.00021198671,0.0001434935,0.00042508577,0.00009679472],"domain_scores_gemma":[0.99892056,0.0006709525,0.00020436644,0.000007868673,0.0001846104,0.00001162908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009401548,0.00006474703,0.00010990598,0.00005288561,0.00025252078,0.000026683274,0.00053417945,0.000057819045,0.0000033516694],"category_scores_gemma":[0.0009956309,0.00003282309,0.000056158813,0.00027641337,0.0004597314,0.00013619779,0.00014232176,0.00008582372,5.7260333e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001231418,0.000008272191,0.00039417224,0.000085551255,0.000012445516,9.737117e-11,0.00014915867,0.000004268505,0.0020016849,0.9954254,0.0015106023,0.00039611498],"study_design_scores_gemma":[0.00017512239,0.00001632671,0.0033685286,0.00006076025,0.000022591506,8.143974e-7,0.00015117245,0.0009881966,0.013495707,0.98120296,0.00048242134,0.00003540338],"about_ca_topic_score_codex":0.000002327579,"about_ca_topic_score_gemma":3.592881e-8,"teacher_disagreement_score":0.018706717,"about_ca_system_score_codex":0.000013276987,"about_ca_system_score_gemma":0.000023653676,"threshold_uncertainty_score":0.19422112},"labels":[],"label_agreement":null},{"id":"W4409231185","doi":"10.1103/physrevd.111.085010","title":"Virasoro completeness relation and the inverse Shapovalov form","year":2025,"lang":"en","type":"article","venue":"Physical review. D/Physical review. D.","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; U.S. Department of Energy","keywords":"Completeness (order theory); Relation (database); Mathematics; Inverse; Algebra over a field; Calculus (dental); Pure mathematics; Computer science; Mathematical analysis; Geometry; Medicine; Data mining","score_opus":0.02719157977344542,"score_gpt":0.42524343112097457,"score_spread":0.39805185134752913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409231185","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8682664,0.08979775,0.00070280884,0.014381186,0.00076922565,0.0059323055,0.000021124148,0.00026818085,0.01986104],"genre_scores_gemma":[0.908442,0.08121863,0.00022667358,0.008870643,0.0005637154,0.00043085896,0.000019122586,0.000053218704,0.00017510424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99719244,0.0004554262,0.0007560378,0.0005850364,0.000592165,0.00041890418],"domain_scores_gemma":[0.9962866,0.002026626,0.00038833794,0.00095336686,0.00019270397,0.00015239244],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007329657,0.00048408413,0.0017728666,0.00003557231,0.0002686284,0.000056343146,0.0005680864,0.00005836232,0.00002078483],"category_scores_gemma":[0.0021202818,0.00028920037,0.0007303815,0.0007012645,0.0003471178,0.00022586982,0.00036413476,0.0005717703,0.000076874174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003271561,0.00014656775,0.00009842831,0.005593211,0.00009404759,0.0000011821771,0.00007901401,5.820328e-7,0.00017389859,0.9769588,0.0074114082,0.009410152],"study_design_scores_gemma":[0.0009305493,0.000046596575,0.0005566288,0.006827416,0.0009339577,0.000002871096,0.000006885904,0.0019954548,0.00012185576,0.967779,0.020492977,0.0003058505],"about_ca_topic_score_codex":0.000020676194,"about_ca_topic_score_gemma":0.000005004385,"teacher_disagreement_score":0.040175658,"about_ca_system_score_codex":0.00007997499,"about_ca_system_score_gemma":0.00007259191,"threshold_uncertainty_score":0.999956},"labels":[],"label_agreement":null},{"id":"W4409330580","doi":"10.1017/prm.2023.132","title":"Classification of simple smooth modules over the Heisenberg–Virasoro algebra","year":2024,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Virasoro algebra; Simple (philosophy); Algebra over a field; Mathematics; Pure mathematics; Algebra representation; Cellular algebra; Philosophy","score_opus":0.02366325748997534,"score_gpt":0.2714319893058286,"score_spread":0.2477687318158533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409330580","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99363065,0.00023132058,0.002229664,0.00042265322,0.00088357093,0.0005218406,0.000012520249,0.000093005125,0.0019748008],"genre_scores_gemma":[0.99559385,0.000042072013,0.003133728,0.000026008509,0.00038961496,0.000030209449,9.875299e-7,0.00004099148,0.0007425166],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979835,0.000009244708,0.0007914431,0.00025013517,0.0007472436,0.0002184087],"domain_scores_gemma":[0.9980838,0.00045425037,0.0007543168,0.0002849341,0.00038037653,0.00004233807],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007352118,0.00024288682,0.00043781343,0.0000429793,0.00016524388,0.000057742687,0.0005447496,0.00021610668,0.00017492345],"category_scores_gemma":[0.00032264693,0.00014481005,0.0006548365,0.00048721442,0.00029609542,0.00014350304,0.00019427763,0.00032018198,3.3524645e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000306351,0.00036725853,0.0006718324,0.003500434,0.00065571425,4.8731813e-8,0.016090235,0.00011924162,0.019559722,0.83875954,0.1194975,0.00074781856],"study_design_scores_gemma":[0.00023703699,0.00006898304,0.0008422149,0.000395109,0.00025786037,0.0000028172176,0.0034537925,0.066818655,0.012076788,0.91484463,0.0008407969,0.0001612905],"about_ca_topic_score_codex":0.000036855377,"about_ca_topic_score_gemma":0.0000010531186,"teacher_disagreement_score":0.11865671,"about_ca_system_score_codex":0.00008294199,"about_ca_system_score_gemma":0.00005103844,"threshold_uncertainty_score":0.59051824},"labels":[],"label_agreement":null},{"id":"W4409362285","doi":"10.1007/s00209-025-03733-7","title":"Simple smooth modules over the Ramond algebra and applications to vertex operator superalgebras","year":2025,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Vertex operator algebra; Vertex (graph theory); Simple module; Algebra over a field; Simple (philosophy); Operator (biology); Operator algebra; Pure mathematics; Algebra representation; Discrete mathematics; Jordan algebra; Graph","score_opus":0.01607248314831691,"score_gpt":0.29389665971359724,"score_spread":0.27782417656528036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409362285","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.951247,0.0009292378,0.032774493,0.0014179092,0.0003430275,0.0022352734,0.000038021502,0.00027699568,0.010738046],"genre_scores_gemma":[0.9930513,0.00002601503,0.0036271673,0.001483869,0.00014224977,0.00062472344,0.000007433716,0.000058877533,0.0009783997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811745,0.00008830902,0.0004975785,0.0005232387,0.00034261454,0.0004308152],"domain_scores_gemma":[0.9979672,0.00065213547,0.000090166184,0.0010194854,0.000107453416,0.00016357086],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00036214717,0.00036958588,0.00047445088,0.00012316467,0.000520088,0.00026623448,0.00062363833,0.00017605086,0.00029499526],"category_scores_gemma":[0.00031338356,0.0002509824,0.00011788584,0.00049045024,0.00011896431,0.00017112445,0.00044292308,0.00028706325,0.000055981345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011270904,0.00006350472,0.00029236337,0.000120571,0.000092180846,9.901329e-7,0.00055360916,0.0000038560074,0.00037716114,0.9813628,0.014899606,0.0022220428],"study_design_scores_gemma":[0.0005735291,0.00003531759,0.0029671423,0.000072587136,0.00010689362,0.000005384634,0.00026147315,0.00025528108,0.0012805922,0.9222768,0.071843565,0.0003214714],"about_ca_topic_score_codex":0.00005609742,"about_ca_topic_score_gemma":0.000031133673,"teacher_disagreement_score":0.059086077,"about_ca_system_score_codex":0.000011437838,"about_ca_system_score_gemma":0.00007228379,"threshold_uncertainty_score":0.9999942},"labels":[],"label_agreement":null},{"id":"W4409703424","doi":"10.21468/scipostphys.18.4.132","title":"Coupled minimal models revisited II: Constraints from permutation symmetry","year":2025,"lang":"en","type":"article","venue":"SciPost Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Ontario Ministry of Research, Innovation and Science; Fundação de Amparo à Pesquisa do Estado de São Paulo; Deutsche Forschungsgemeinschaft","keywords":"Permutation (music); Symmetry (geometry); Mathematics; Combinatorics; Computer science; Theoretical physics; Physics; Geometry","score_opus":0.027330101971298214,"score_gpt":0.29575127904584014,"score_spread":0.26842117707454194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409703424","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96269274,0.00015765215,0.028153108,0.00021900014,0.0008182207,0.000378407,0.00006608355,0.00016056135,0.0073542027],"genre_scores_gemma":[0.99656075,0.000007700301,0.002508405,0.0002448471,0.0002773149,0.0000150976075,0.00006822779,0.00002465,0.00029300962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986798,0.00005005679,0.00033964714,0.00036180578,0.00031279188,0.0002558951],"domain_scores_gemma":[0.99886864,0.00030040077,0.00014481288,0.00043181446,0.0001880619,0.000066251145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011442344,0.00022373586,0.00036011392,0.000051419214,0.00025069024,0.00006926292,0.00026015434,0.0001334428,0.00009140749],"category_scores_gemma":[0.000118722885,0.00021411003,0.0001342507,0.00036847117,0.00013508262,0.00020605647,0.00015280221,0.00020029471,0.0000120350505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000391541,0.00008103863,0.00006587393,0.000043523356,0.00011934751,0.0000021686997,0.00059204554,0.000059398208,0.00080163626,0.99443406,0.0009893501,0.002772381],"study_design_scores_gemma":[0.0007696896,0.00003665568,0.00014513258,0.0001242885,0.0001285982,5.935524e-7,0.00016005164,0.021932306,0.0013503922,0.9751036,0.000047076774,0.00020158365],"about_ca_topic_score_codex":0.00003263007,"about_ca_topic_score_gemma":0.0000018891451,"teacher_disagreement_score":0.033867985,"about_ca_system_score_codex":0.000075694144,"about_ca_system_score_gemma":0.00013255977,"threshold_uncertainty_score":0.87311536},"labels":[],"label_agreement":null},{"id":"W4409996940","doi":"10.1007/s00209-025-03723-9","title":"Nondegenerate module categories","year":2025,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.01718679132664139,"score_gpt":0.27620800470610385,"score_spread":0.25902121337946243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409996940","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23693722,0.08688377,0.13340528,0.0076262318,0.051479064,0.005931836,0.00033438942,0.0021023378,0.47529987],"genre_scores_gemma":[0.9520743,0.00052251504,0.009909429,0.00062281144,0.0014601981,0.000184951,0.00004514231,0.00018567732,0.034994964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99554706,0.00024714053,0.0013799336,0.0010010593,0.00074050954,0.0010842865],"domain_scores_gemma":[0.9964881,0.0005802088,0.00050701754,0.0018169862,0.00035465352,0.00025301368],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007282706,0.0009737855,0.001377817,0.00033923663,0.00065696426,0.00052789104,0.0011150426,0.00076328753,0.0013285363],"category_scores_gemma":[0.0006208334,0.0008747648,0.00048016474,0.0009055441,0.00027203822,0.00030800566,0.0007002915,0.0008476414,0.0013212055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000487614,0.0002827902,0.000079383586,0.0013149185,0.0008777398,0.000022041364,0.0013393912,0.000043526503,0.00028549676,0.95182097,0.04264929,0.0012356613],"study_design_scores_gemma":[0.0014631898,0.000088286026,0.00006203756,0.0006655374,0.00092666625,0.000008481326,0.00033710472,0.0021897485,0.013281442,0.8568883,0.123196684,0.00089251564],"about_ca_topic_score_codex":0.000088517896,"about_ca_topic_score_gemma":0.000015170934,"teacher_disagreement_score":0.71513706,"about_ca_system_score_codex":0.000033847075,"about_ca_system_score_gemma":0.00048547518,"threshold_uncertainty_score":0.9995844},"labels":[],"label_agreement":null},{"id":"W4410030586","doi":"10.1073/pnas.2422893122","title":"Scattering diagrams, tight gradings, and generalized positivity","year":2025,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation Graduate Research Fellowship Program; Deutsche Forschungsgemeinschaft; Jack Kent Cooke Foundation; National Science Foundation","keywords":"Cluster algebra; Mathematics; Rank (graph theory); Indecomposable module; Cluster (spacecraft); Pure mathematics; Monomial; Combinatorics; Diagram; Class (philosophy); Discrete mathematics; Physics; Statistical physics; Computer science","score_opus":0.04335023793495655,"score_gpt":0.3290395210757239,"score_spread":0.2856892831407673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410030586","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9929125,0.0001033562,0.000005651706,0.0028043594,0.000041130785,0.00011289779,0.000002291426,0.000010542699,0.004007301],"genre_scores_gemma":[0.9974794,0.000013524056,0.0021331655,0.00021270219,0.000038930484,0.0000049372115,2.212444e-8,0.000002215106,0.00011514264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904895,0.000004850996,0.00022034987,0.00015906662,0.00046750042,0.00009927085],"domain_scores_gemma":[0.9995183,0.00013937264,0.00021038234,0.0000060243756,0.00010778843,0.000018169374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006511363,0.000072764364,0.00014433336,0.000089594236,0.0001822345,0.000028891285,0.0003759111,0.000055846453,0.000004289448],"category_scores_gemma":[0.0003139348,0.000047047615,0.0000467141,0.00038418587,0.00044516788,0.00018540105,0.00016811017,0.0000892097,6.187553e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004816518,0.000011405403,0.002971896,0.000055966848,0.000012514064,1.0627604e-9,0.000072012626,0.0000010440909,0.038941283,0.9570688,0.0006611112,0.00019917912],"study_design_scores_gemma":[0.00012811871,0.000008348417,0.014076337,0.00006763684,0.000012911234,0.0000018336524,0.000022787342,0.00018687267,0.096096486,0.8892899,0.000065216635,0.00004352475],"about_ca_topic_score_codex":0.0000056458607,"about_ca_topic_score_gemma":3.7775354e-8,"teacher_disagreement_score":0.06777885,"about_ca_system_score_codex":0.000019153033,"about_ca_system_score_gemma":0.000015759608,"threshold_uncertainty_score":0.19185461},"labels":[],"label_agreement":null},{"id":"W4410359616","doi":"10.1007/jhep05(2025)120","title":"Combinatorial proof of a non-renormalization theorem","year":2025,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministry of Colleges and Universities; Institut Périmètre de physique théorique; Krembil Foundation; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Physics; Renormalization; Combinatorial proof; Theoretical physics; Mathematical physics; Combinatorics; Mathematics","score_opus":0.009846343699330965,"score_gpt":0.25789582279427514,"score_spread":0.24804947909494418,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410359616","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39220473,0.00013916289,0.5975498,0.000111839356,0.005602767,0.000100922196,0.000003054772,0.000015141866,0.004272567],"genre_scores_gemma":[0.9984859,0.000013838279,0.00075466005,0.000037745125,0.00059596583,0.0000019785548,0.0000014569237,0.0000150517535,0.000093365335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988564,0.000055278844,0.00054216327,0.00008377185,0.00033677847,0.00012556744],"domain_scores_gemma":[0.9984867,0.00015601351,0.0006659979,0.00020203418,0.00045085192,0.000038411126],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001682637,0.00013109247,0.00041368318,0.00007684765,0.000049452436,0.00001743367,0.00026176075,0.00009034485,0.000010438402],"category_scores_gemma":[0.00007811738,0.00010237475,0.00016767257,0.00028493366,0.00004995693,0.00014163178,0.000057425113,0.00013039478,1.0446154e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011348281,0.00018312086,0.000033593584,0.000053990494,0.00014861673,0.000002062081,0.00011907732,0.00034517824,0.00016576648,0.99597925,0.0008333174,0.0020225325],"study_design_scores_gemma":[0.0011955688,0.00017122831,0.000040964533,0.00011305997,0.00010692935,0.0000035268586,0.000022798416,0.00016095984,0.054476846,0.9434126,0.00021506049,0.000080480524],"about_ca_topic_score_codex":0.000021692065,"about_ca_topic_score_gemma":0.0000010178414,"teacher_disagreement_score":0.6062812,"about_ca_system_score_codex":0.000046021327,"about_ca_system_score_gemma":0.00016807238,"threshold_uncertainty_score":0.41747212},"labels":[],"label_agreement":null},{"id":"W4410600781","doi":"10.1007/s00209-025-03756-0","title":"Biserial algebras and generic bricks","year":2025,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics; Mathematics education","score_opus":0.017682098288960744,"score_gpt":0.2709771739784814,"score_spread":0.2532950756895207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410600781","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6993315,0.07912852,0.031176804,0.0042357678,0.029525397,0.0045896494,0.00017402101,0.0011442212,0.15069409],"genre_scores_gemma":[0.96812934,0.0014692801,0.0140663395,0.00089173816,0.002227685,0.00015391216,0.00002906188,0.00021413864,0.012818532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99606794,0.00023409097,0.0011926093,0.0009998352,0.00060065807,0.0009048509],"domain_scores_gemma":[0.9971323,0.00068048626,0.00045481083,0.0012541345,0.00018491349,0.0002933588],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00063046475,0.00086952024,0.0012988814,0.0003278512,0.0004896158,0.00049825053,0.0007189253,0.00073993776,0.0008475349],"category_scores_gemma":[0.0006823933,0.00079437974,0.0003153029,0.0007367274,0.0002984463,0.00025233228,0.0008555203,0.00067032385,0.00033907586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007564829,0.00020615979,0.00011804024,0.0012861403,0.0007467743,0.000021213586,0.0012523091,0.0000033441954,0.00038764955,0.96392477,0.02756411,0.004413831],"study_design_scores_gemma":[0.0024722477,0.00014140955,0.0002794276,0.0008226857,0.0012333811,0.000025398405,0.00023561077,0.0009845147,0.002341948,0.87160444,0.11891239,0.00094653975],"about_ca_topic_score_codex":0.00007437837,"about_ca_topic_score_gemma":0.000007066764,"teacher_disagreement_score":0.26879779,"about_ca_system_score_codex":0.000020618438,"about_ca_system_score_gemma":0.00030410194,"threshold_uncertainty_score":0.9994507},"labels":[],"label_agreement":null},{"id":"W4410846733","doi":"10.1134/s008154382501002x","title":"Modularity of Landau–Ginzburg Models","year":2025,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Modularity (biology); Cognitive science; Computer science; Psychology; Biology; Evolutionary biology","score_opus":0.029297178520288528,"score_gpt":0.2751119421673474,"score_spread":0.2458147636470589,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410846733","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97284716,0.00009896188,0.0050328923,0.0002309435,0.00064121647,0.0005578549,0.000014070519,0.00003899055,0.020537905],"genre_scores_gemma":[0.9684289,0.000017541344,0.030914718,0.000016795613,0.000031123844,0.000011868711,3.7481567e-7,0.000018683,0.0005599687],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982123,0.000005723272,0.00087641465,0.00018942704,0.00051674165,0.00019939562],"domain_scores_gemma":[0.99810165,0.000109757624,0.0008406964,0.00037440786,0.00053691695,0.000036552545],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043229116,0.00022042682,0.00070759765,0.00012689075,0.000074352414,0.000014705121,0.0009138483,0.00016177868,0.0000083607465],"category_scores_gemma":[0.00054372044,0.00015386424,0.0002795218,0.00044175953,0.0003094439,0.00024098528,0.0004050294,0.0001877956,2.814595e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015161115,0.00018761997,0.00027802694,0.0030204444,0.00015052383,7.4795295e-8,0.0009925623,0.00011153809,0.001722862,0.9927471,0.00062436686,0.0001497199],"study_design_scores_gemma":[0.00052598154,0.000039861952,0.00004851627,0.0008331293,0.00018489907,0.0000026129862,0.0004220266,0.0032801763,0.05498938,0.93941385,0.00014295927,0.000116603405],"about_ca_topic_score_codex":0.000027078677,"about_ca_topic_score_gemma":0.00000196595,"teacher_disagreement_score":0.053333245,"about_ca_system_score_codex":0.00003591829,"about_ca_system_score_gemma":0.00009323455,"threshold_uncertainty_score":0.62744015},"labels":[],"label_agreement":null},{"id":"W4411138557","doi":"10.1007/s11464-025-0042-z","title":"Smooth Modules of the 2D Supersymmetric Galilean Conformal Algebra","year":2025,"lang":"en","type":"article","venue":"Frontiers of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Galilean; Conformal map; Algebra over a field; Conformal symmetry; Physics; Mathematics; Pure mathematics; Mathematical physics; Geometry","score_opus":0.01430653959438105,"score_gpt":0.2507773482368115,"score_spread":0.23647080864243047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411138557","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9441248,0.0008856559,0.039136983,0.0002515142,0.0022772362,0.0006689188,0.000028109704,0.000060444974,0.012566343],"genre_scores_gemma":[0.9626697,0.000024353345,0.036262102,0.000053366715,0.000035810568,0.000009712129,0.0000014231141,0.00002439205,0.0009191916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99838173,0.00004386775,0.00072015973,0.00015723567,0.0004514867,0.00024551875],"domain_scores_gemma":[0.99832344,0.00025923632,0.00042716178,0.00077137124,0.00017584875,0.000042942313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032523987,0.000211441,0.0005939783,0.0001994309,0.00008590602,0.000016848751,0.0007380312,0.0001525714,0.000028460658],"category_scores_gemma":[0.00068733055,0.0001450178,0.00028776634,0.000574045,0.00022516372,0.00008201371,0.00020486247,0.00016897386,0.0000010113771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012325297,0.00015553617,0.0007030212,0.0005198126,0.00015905844,2.634539e-7,0.0012283592,0.000014920973,0.00006828426,0.96670586,0.029632367,0.0008001758],"study_design_scores_gemma":[0.0005875696,0.000040157214,0.00040168714,0.00013461606,0.00018681298,0.0000013931544,0.0029255855,0.0016193143,0.009458044,0.98378026,0.00072145637,0.00014309867],"about_ca_topic_score_codex":0.000019214915,"about_ca_topic_score_gemma":0.0000027793255,"teacher_disagreement_score":0.02891091,"about_ca_system_score_codex":0.00004310433,"about_ca_system_score_gemma":0.000095429954,"threshold_uncertainty_score":0.5913654},"labels":[],"label_agreement":null},{"id":"W4411195697","doi":"10.1007/jhep06(2025)088","title":"Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization","year":2025,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Science and Technology Commission of Shanghai Municipality; National Natural Science Foundation of China; Government of Canada","keywords":"Physics; Realization (probability); Domain wall (magnetism); Theoretical physics; Domain (mathematical analysis); Topology (electrical circuits); Mathematical physics; Quantum mechanics; Combinatorics; Mathematical analysis","score_opus":0.029771572496571416,"score_gpt":0.2946816422696673,"score_spread":0.2649100697730959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411195697","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7569357,0.00006715164,0.24230398,0.00016923276,0.0001812033,0.000049378923,0.0000018449543,0.0000047853027,0.00028672323],"genre_scores_gemma":[0.99475795,0.000095294265,0.005000103,0.000040462106,0.000048467322,0.0000017807054,0.0000025885643,0.0000088259485,0.00004451116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872845,0.00009549961,0.00070630095,0.00009842635,0.00026663148,0.0001046914],"domain_scores_gemma":[0.9985843,0.0002014876,0.000717591,0.00019449022,0.00027482124,0.000027349592],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020444473,0.00010619122,0.00041937878,0.00010854187,0.000024707619,0.0000056258014,0.00017910729,0.00011202044,0.000004559292],"category_scores_gemma":[0.00012445422,0.00008301207,0.00011392172,0.00030792545,0.000060329283,0.000094025716,0.000042672855,0.00011637341,4.834111e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000094469025,0.00020007764,0.00012723493,0.000038640897,0.000046381025,9.884488e-7,0.00017712549,0.0074643963,0.0027170426,0.9885401,0.00022269087,0.0003708292],"study_design_scores_gemma":[0.0007693942,0.00008812653,0.00055544294,0.00013938943,0.00004570463,0.0000011941709,0.00011701817,0.004216666,0.0038154952,0.99016804,0.000018891558,0.00006461411],"about_ca_topic_score_codex":0.000059895665,"about_ca_topic_score_gemma":0.000012443143,"teacher_disagreement_score":0.23782226,"about_ca_system_score_codex":0.00006588019,"about_ca_system_score_gemma":0.00013974047,"threshold_uncertainty_score":0.33851337},"labels":[],"label_agreement":null},{"id":"W4411645635","doi":"10.1080/00927872.2025.2501209","title":"Local and 2-local automorphisms on the <i>N</i>  = 2 superconformal algebras","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; Foundation of Jiangxi Educational Commission; China Scholarship Council","keywords":"Mathematics; Automorphism; Pure mathematics; Algebra over a field","score_opus":0.03893394647464605,"score_gpt":0.3117520041178998,"score_spread":0.27281805764325373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411645635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8593333,0.0022944512,0.032795686,0.034318324,0.00080695475,0.0014393248,0.000013677774,0.000335719,0.068662584],"genre_scores_gemma":[0.9967137,0.0001716368,0.0009283059,0.0017775898,0.0000108156355,0.0001187606,0.0000067256233,0.000016835493,0.00025563544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987656,0.00020653216,0.00039678882,0.00020587108,0.00017315596,0.000252089],"domain_scores_gemma":[0.9962016,0.0016332492,0.00006264871,0.0019983964,0.000055232413,0.000048872145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046727838,0.00018925357,0.00024090587,0.00012780773,0.00038744975,0.000067841065,0.0012432478,0.0001434009,0.00006845214],"category_scores_gemma":[0.00022786083,0.00013969954,0.000064310574,0.00040182698,0.0007552678,0.00010662995,0.0007180192,0.00056060933,0.000016464388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013351471,0.00007461998,0.00015945059,0.000012365367,0.0000246264,6.778355e-7,0.00035228254,0.0000066471243,0.0000072941484,0.9869738,0.0019897607,0.010385127],"study_design_scores_gemma":[0.0004934152,0.0000314861,0.0013349026,0.000093710085,0.00002332295,0.000005019471,0.00077189074,0.004662984,0.00024681835,0.98537815,0.006808343,0.0001499596],"about_ca_topic_score_codex":0.00006570649,"about_ca_topic_score_gemma":0.0001141069,"teacher_disagreement_score":0.13738042,"about_ca_system_score_codex":0.00009606734,"about_ca_system_score_gemma":0.000095977884,"threshold_uncertainty_score":0.5696782},"labels":[],"label_agreement":null},{"id":"W4411939048","doi":"10.1142/s0129167x25500399","title":"Quantum graphs, subfactors and tensor categories I","year":2025,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Tensor (intrinsic definition); Quantum; Pure mathematics; Algebra over a field; Quantum mechanics","score_opus":0.022728464668548012,"score_gpt":0.31197862819246674,"score_spread":0.28925016352391875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411939048","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9856199,0.00030698793,0.009712257,0.0008828947,0.0024520368,0.00007892268,0.0000036806257,0.000019149056,0.00092419534],"genre_scores_gemma":[0.99175024,0.00010338541,0.0076747737,0.00008208624,0.00012430931,0.0000014793148,4.922528e-7,0.000012208619,0.00025103873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987744,0.000023519682,0.0005768307,0.00008301964,0.00043179197,0.000110423745],"domain_scores_gemma":[0.9984197,0.00048984546,0.00041051354,0.00012375711,0.00050508813,0.00005111613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028764765,0.00013055031,0.0002852742,0.00022759284,0.000044603898,0.00008439933,0.0003793478,0.00007197305,0.000039191335],"category_scores_gemma":[0.00069398334,0.000096974094,0.00011762663,0.00009097968,0.000072599076,0.00013305795,0.00008151702,0.00017572757,0.0000012108251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002080693,0.000093296374,0.0009158341,0.00005207719,0.00027105105,0.00001539072,0.00079450663,0.000002778391,0.00008527403,0.9958394,0.0014316639,0.00047789293],"study_design_scores_gemma":[0.00049800245,0.000040357783,0.00039228445,0.00014084586,0.00006715725,0.000104862935,0.0008668372,0.00018581277,0.00062925817,0.99633336,0.0006571857,0.00008405645],"about_ca_topic_score_codex":0.000006121409,"about_ca_topic_score_gemma":0.0000021922406,"teacher_disagreement_score":0.006130351,"about_ca_system_score_codex":0.00004656712,"about_ca_system_score_gemma":0.00007364797,"threshold_uncertainty_score":0.39544886},"labels":[],"label_agreement":null},{"id":"W4411957898","doi":"10.1016/j.jalgebra.2025.06.022","title":"Representation theory of graded algebras given by locally finite quivers","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Representation (politics); Representation theory; Algebra over a field; Pure mathematics","score_opus":0.02216563557339086,"score_gpt":0.29607529140613387,"score_spread":0.273909655832743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411957898","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95532036,0.0008743261,0.038932193,0.0007230633,0.0014308688,0.0002210459,0.0000072448224,0.000025159577,0.002465769],"genre_scores_gemma":[0.9970669,0.00006863743,0.0019210955,0.00018587959,0.000111001995,0.0000018251843,0.000001920637,0.000017330305,0.00062539586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982514,0.00019528036,0.00079908175,0.00014348283,0.00043225466,0.00017854712],"domain_scores_gemma":[0.997496,0.0010233675,0.0007873211,0.00027556185,0.00034073598,0.000077001794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005527918,0.00016023613,0.00048330417,0.00020185499,0.00006209316,0.000028860735,0.00039309543,0.00012990957,0.00015658712],"category_scores_gemma":[0.000942424,0.00013178893,0.00025025313,0.0003920185,0.00010681188,0.00020164787,0.000072196635,0.00027531778,0.0000018737693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003415306,0.00011725456,0.00039014543,0.00007928435,0.00038009178,0.000009208657,0.00061710883,0.000039706014,0.0018330516,0.9759128,0.017903192,0.002376632],"study_design_scores_gemma":[0.0012667202,0.00018517382,0.0004207225,0.00016171944,0.00017362849,0.000011233168,0.00062140403,0.000028842089,0.011010497,0.9855263,0.00048597803,0.000107759166],"about_ca_topic_score_codex":0.000009055753,"about_ca_topic_score_gemma":8.7101614e-7,"teacher_disagreement_score":0.041746583,"about_ca_system_score_codex":0.000061750645,"about_ca_system_score_gemma":0.00016811739,"threshold_uncertainty_score":0.5374196},"labels":[],"label_agreement":null},{"id":"W4411958868","doi":"10.1007/s00220-025-05339-w","title":"Quantum Supersymmetric Pairs of Basic Types","year":2025,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"National Science Foundation; Jefferson Foundation","keywords":"Complex system; Quantum; Theoretical physics; Pure mathematics; Mathematics; Physics; Algebra over a field; Quantum mechanics; Mathematical physics; Computer science","score_opus":0.06901565054821485,"score_gpt":0.3532463178895095,"score_spread":0.28423066734129465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411958868","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6257648,0.002428238,0.13513081,0.0031910767,0.0007183562,0.0018798448,0.000022029719,0.00035608863,0.23050877],"genre_scores_gemma":[0.984141,0.000058999325,0.015503878,0.000041121744,0.000016532189,0.00004155165,0.0000033195602,0.000015129505,0.00017845393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890685,0.00012270347,0.00049635995,0.00013827036,0.00017268676,0.0001631179],"domain_scores_gemma":[0.99593997,0.002039769,0.00010672363,0.0017780625,0.00010691363,0.000028560278],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031575904,0.00013162768,0.0003742128,0.00013469308,0.00007603777,0.0000154319,0.0009801792,0.00008700903,0.00003342532],"category_scores_gemma":[0.0008957403,0.00011845772,0.00011016444,0.0010368929,0.00022085261,0.00007023854,0.00039504236,0.00024988316,0.00001200709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043096334,0.0003823622,0.0002010957,0.0001750726,0.000031603136,1.250681e-7,0.00033671438,0.0000066376524,0.000030387568,0.9962666,0.00027606322,0.0022890544],"study_design_scores_gemma":[0.0002762864,0.00001574879,0.00013800306,0.00017255513,0.00004310691,3.39875e-7,0.00026037986,0.0059670145,0.00032399906,0.9925544,0.00015029381,0.00009785067],"about_ca_topic_score_codex":0.000008958691,"about_ca_topic_score_gemma":0.0000029719072,"teacher_disagreement_score":0.35837623,"about_ca_system_score_codex":0.000055606593,"about_ca_system_score_gemma":0.000067052686,"threshold_uncertainty_score":0.48305658},"labels":[],"label_agreement":null},{"id":"W4412650759","doi":"10.1016/j.jalgebra.2025.07.006","title":"Counterexamples in involutions of Azumaya algebras","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Islamic Scholarship Fund; Israel Science Foundation","keywords":"Mathematics; Counterexample; Pure mathematics; Brauer group; Algebra over a field; Discrete mathematics","score_opus":0.028466760087560928,"score_gpt":0.32157855142525277,"score_spread":0.29311179133769183,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412650759","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9940747,0.0007302117,0.0017134676,0.00038566513,0.00086093985,0.00010109225,0.0000026823552,0.000008943964,0.0021222746],"genre_scores_gemma":[0.99727696,0.000063636995,0.002276393,0.00009411291,0.00010034772,0.0000018337014,4.08804e-7,0.00001103112,0.00017528007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984632,0.0000713319,0.0008924356,0.00009999513,0.00029417843,0.00017881845],"domain_scores_gemma":[0.9985725,0.00040668296,0.00049145473,0.00022615372,0.00025210183,0.00005106401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004333613,0.00012900536,0.0004643122,0.00036009142,0.000038024828,0.00001878113,0.0003452616,0.00010917925,0.00010795756],"category_scores_gemma":[0.00050253805,0.000106279396,0.00018041093,0.00039102498,0.00007639087,0.00015116819,0.00006981528,0.00028196265,0.0000011781258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006280478,0.00012940998,0.0035740037,0.00007879434,0.00009923102,0.000008175512,0.000408903,0.000019149116,0.0003266868,0.9904704,0.0043969564,0.00042544692],"study_design_scores_gemma":[0.0009667812,0.000099616314,0.006284676,0.00030013514,0.00005719582,0.000019551215,0.00032863836,0.000031946467,0.0012861803,0.98977816,0.0007629458,0.00008418371],"about_ca_topic_score_codex":0.000035262357,"about_ca_topic_score_gemma":0.000048598904,"teacher_disagreement_score":0.0036340104,"about_ca_system_score_codex":0.00010346647,"about_ca_system_score_gemma":0.0002553512,"threshold_uncertainty_score":0.4333948},"labels":[],"label_agreement":null},{"id":"W4412881833","doi":"10.1007/s00029-025-01048-3","title":"q-Whittaker functions, finite fields, and Jordan forms","year":2025,"lang":"lv","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Field (mathematics); Algebra over a field; Pure mathematics","score_opus":0.0136359350998513,"score_gpt":0.26036364162746384,"score_spread":0.24672770652761253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412881833","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7355728,0.007144949,0.07335475,0.007370539,0.0049418937,0.003502561,0.000072903196,0.00067604013,0.16736354],"genre_scores_gemma":[0.9697204,0.0002165458,0.002493471,0.0005403978,0.00021229658,0.00008523837,0.000010829408,0.00006840861,0.02665241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99734914,0.00009501019,0.0008713589,0.00060715614,0.00039129466,0.00068604655],"domain_scores_gemma":[0.99725276,0.0012371503,0.00026463936,0.0008957642,0.0001749276,0.00017475641],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00039942496,0.00054504577,0.00082204386,0.0002301069,0.00047242283,0.0003022526,0.00038589994,0.00047751114,0.000809626],"category_scores_gemma":[0.0010125057,0.0004605895,0.00021857444,0.0006264707,0.00015042182,0.0001982066,0.00028899964,0.00059747446,0.00013922027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051772222,0.00018860422,0.000070523245,0.0014156547,0.0003784342,0.000005175856,0.0012543717,0.000002558237,0.000017799783,0.9762565,0.017877733,0.002480892],"study_design_scores_gemma":[0.0009411211,0.00016675371,0.00006052668,0.00060063443,0.00048090125,0.000020667654,0.0006230065,0.0021984926,0.000279144,0.9872326,0.0069441223,0.00045201983],"about_ca_topic_score_codex":0.000022148353,"about_ca_topic_score_gemma":0.000029859102,"teacher_disagreement_score":0.23414758,"about_ca_system_score_codex":0.000083676234,"about_ca_system_score_gemma":0.00023121414,"threshold_uncertainty_score":0.9997846},"labels":[],"label_agreement":null},{"id":"W4412883120","doi":"10.4153/s0008439525100933","title":"Contramodules for algebraic groups: the existence of mock projectives","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Algebraic number; Mathematical analysis","score_opus":0.02571091602208853,"score_gpt":0.2964135762748928,"score_spread":0.27070266025280426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412883120","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82359654,0.0009951305,0.04766594,0.028275423,0.0012214995,0.006906445,0.00014066584,0.00019790605,0.09100048],"genre_scores_gemma":[0.993221,0.000002817924,0.003395672,0.00038608882,0.00007646175,0.0002570145,0.0000021323121,0.000024027431,0.0026347882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868685,0.000064777014,0.00043615905,0.00024879753,0.00016979151,0.00039362774],"domain_scores_gemma":[0.99739397,0.0017110712,0.00011362108,0.00047783073,0.00016024323,0.0001432535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040213607,0.00019227002,0.00040327632,0.00009742067,0.00019165724,0.00004472937,0.0004830499,0.00013286537,0.00062784617],"category_scores_gemma":[0.0020758002,0.00012980502,0.00017528697,0.00017611777,0.00024801868,0.000019948437,0.000044340308,0.0001453399,0.000040199106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001698066,0.000030236568,0.000008740918,0.0003077427,0.000064518266,0.0000012657943,0.00037089485,7.08817e-7,0.000015845071,0.9902644,0.008583083,0.00033558952],"study_design_scores_gemma":[0.00038989427,0.000046666257,0.00006400604,0.00017037876,0.000067990106,0.000004676578,0.0005383148,0.00019967291,0.0003543093,0.9916268,0.0064038034,0.0001335072],"about_ca_topic_score_codex":0.00032705817,"about_ca_topic_score_gemma":0.00036357285,"teacher_disagreement_score":0.16962449,"about_ca_system_score_codex":0.00009169041,"about_ca_system_score_gemma":0.0002796083,"threshold_uncertainty_score":0.68744755},"labels":[],"label_agreement":null},{"id":"W4412980563","doi":"10.1016/j.bulsci.2025.103707","title":"A closer look at Witt rings for forms of higher degree","year":2025,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Ottawa","keywords":"Degree (music); Mathematics; Physics","score_opus":0.07034038987793831,"score_gpt":0.34579227933920337,"score_spread":0.2754518894612651,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412980563","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9288268,0.00051499385,0.0040190658,0.00077837677,0.00037365928,0.00057500415,0.0000065920185,0.00012137893,0.064784095],"genre_scores_gemma":[0.9382355,0.000027641452,0.052251365,0.00023860164,0.000051475443,0.00009755264,9.775331e-7,0.000016265145,0.009080599],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858797,0.0000370535,0.00045847465,0.0002997841,0.0002994217,0.00031728073],"domain_scores_gemma":[0.99868387,0.0005988495,0.00024617653,0.00027028375,0.0001544887,0.000046309688],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006450447,0.0001880305,0.00041081078,0.000109156405,0.0003552149,0.00006577463,0.00050768297,0.00010501017,0.00036308265],"category_scores_gemma":[0.00034784476,0.00013065375,0.00016768125,0.0002155116,0.0007217197,0.000077607314,0.00021817016,0.00006380947,0.000007334556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029131115,0.00003812515,0.00070747297,0.00034098193,0.00002758274,3.6575895e-7,0.00036193122,0.0000023045432,0.0001575778,0.97958726,0.01815552,0.0005917753],"study_design_scores_gemma":[0.0002962005,0.00016143436,0.00094976294,0.00022425831,0.000036890782,0.0000021038559,0.00009236556,0.00007232743,0.0075632944,0.97835153,0.012102489,0.00014736383],"about_ca_topic_score_codex":0.000034562847,"about_ca_topic_score_gemma":0.00001770205,"teacher_disagreement_score":0.05570349,"about_ca_system_score_codex":0.000085397136,"about_ca_system_score_gemma":0.00007780454,"threshold_uncertainty_score":0.5327905},"labels":[],"label_agreement":null},{"id":"W4413141611","doi":"10.1090/tran/9378","title":"Spectral 2-actions, foams, and frames in the spectrification of Khovanov arc algebras","year":2025,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Army Research Office; Simons Foundation; National Science Foundation","keywords":"Algorithm; Computer science; Artificial intelligence; Mathematics","score_opus":0.022259062663038794,"score_gpt":0.30168761767498903,"score_spread":0.27942855501195024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413141611","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8803094,0.0000838547,0.11509228,0.0027140665,0.00009168427,0.0004530028,0.000007777424,0.0000258365,0.0012221081],"genre_scores_gemma":[0.98595834,0.00007175644,0.013695506,0.000119351826,0.000016098946,0.000028847417,3.1293015e-7,0.000009658067,0.0001001512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988786,0.000107775915,0.0004338874,0.00015935226,0.00025832254,0.00016209167],"domain_scores_gemma":[0.9983655,0.00083352305,0.00024013233,0.0004952331,0.00004362925,0.000021945165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003355753,0.00013395236,0.000366625,0.00003779608,0.00012819325,0.00001589956,0.00036052315,0.000055311004,0.000042995114],"category_scores_gemma":[0.000108067594,0.00008116467,0.0002888627,0.0006867012,0.00062720466,0.000052392326,0.000014781122,0.00028425874,5.5189264e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024202043,0.00031545895,0.00020417504,0.00020970339,0.00013062368,7.656152e-8,0.0025647623,0.00002228345,0.0009229096,0.9930475,0.00020675756,0.0023515609],"study_design_scores_gemma":[0.00022636032,0.000045968507,0.0047965823,0.000066083536,0.00013568744,0.0000042680317,0.003786275,0.00055825384,0.0030573925,0.9872027,0.000043224383,0.000077203425],"about_ca_topic_score_codex":0.00009278512,"about_ca_topic_score_gemma":0.000009331521,"teacher_disagreement_score":0.10564892,"about_ca_system_score_codex":0.00004243005,"about_ca_system_score_gemma":0.000052806896,"threshold_uncertainty_score":0.3309799},"labels":[],"label_agreement":null},{"id":"W4413186187","doi":"10.55016/ojs/cdm.v6i2.62092","title":"A bijection between noncrossing and nonnesting partitions of types A, B and C","year":2011,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Centro de Matemática, Universidade de Coimbra; Universidade de Coimbra; Universität Wien","keywords":"Bijection; Combinatorics; Mathematics; Type (biology); Biology; Paleontology","score_opus":0.05411428008197684,"score_gpt":0.3264523449599007,"score_spread":0.2723380648779239,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413186187","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9196068,0.000071249284,0.07879678,0.00008731136,0.00007256362,0.0003012751,0.00008208351,0.00005610315,0.00092581275],"genre_scores_gemma":[0.9733752,0.000004678822,0.026474055,0.000007999609,0.000064612395,0.000021294114,0.000003751195,0.000015247683,0.000033170472],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991636,0.000026603157,0.00035345415,0.00015527348,0.00011470695,0.00018632632],"domain_scores_gemma":[0.99904823,0.0003199755,0.00015202224,0.00020457686,0.00016383598,0.000111357265],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023939903,0.00012943632,0.00029696993,0.00007683801,0.00024059793,0.00003882908,0.00007282217,0.00007902983,0.000019765856],"category_scores_gemma":[0.00089926145,0.00011248151,0.000041454135,0.00017589035,0.00011993548,0.00009299384,0.00009879419,0.000084985426,0.0000022699433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000074165227,0.000039244987,0.0017931989,0.00015147145,0.00006347812,8.139733e-7,0.005086629,0.0000014568753,0.0003698942,0.9919151,0.000045531342,0.0005257859],"study_design_scores_gemma":[0.00029463109,0.00008644893,0.0024998575,0.0001612751,0.00017065275,0.000011966519,0.0004832432,0.0003519418,0.002289004,0.99347013,0.000032420605,0.00014840394],"about_ca_topic_score_codex":0.000029364455,"about_ca_topic_score_gemma":0.000008104233,"teacher_disagreement_score":0.05376837,"about_ca_system_score_codex":0.000023250763,"about_ca_system_score_gemma":0.000026027628,"threshold_uncertainty_score":0.4586863},"labels":[],"label_agreement":null},{"id":"W4413739281","doi":"10.1017/s0017089525100621","title":"Stratifying systems and Jordan-Hölder extriangulated categories","year":2025,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering and Physical Sciences Research Council; London Mathematical Society; Aarhus Universitets Forskningsfond; National Research Foundation; Danmarks Grundforskningsfond; Aarhus Universitet","keywords":"Mathematics; Pure mathematics","score_opus":0.030826541620071837,"score_gpt":0.3046845147060526,"score_spread":0.2738579730859808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413739281","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.914552,0.0015508668,0.072302535,0.0011652067,0.0019680543,0.0005110907,0.0000028673796,0.00014802188,0.0077993767],"genre_scores_gemma":[0.9938361,0.00002549692,0.0040696836,0.00006264099,0.00027280964,0.000013577537,6.725019e-7,0.000026484613,0.0016925486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981706,0.00011975057,0.00072012766,0.00022350778,0.00038682693,0.00037918543],"domain_scores_gemma":[0.9985246,0.00061625004,0.00021008382,0.00028372838,0.00018455267,0.00018074906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057092775,0.00025665594,0.00052740757,0.00014165584,0.00035508096,0.00049895875,0.00024099201,0.00018247195,0.0001592394],"category_scores_gemma":[0.0007425653,0.0001885584,0.00011227587,0.00022110068,0.00011726987,0.0001835511,0.00010157533,0.00046800496,0.000009968027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022097307,0.000050636885,0.00004845147,0.0002974224,0.00013467584,0.000025100586,0.00039102312,0.000004457048,0.00014609129,0.99684227,0.0014543098,0.0005834482],"study_design_scores_gemma":[0.0007965828,0.00003895195,0.00006431327,0.00031366825,0.00012481396,0.00045591133,0.0008130438,0.0012793636,0.00013223456,0.9954466,0.00034719196,0.00018731314],"about_ca_topic_score_codex":0.0000051131137,"about_ca_topic_score_gemma":0.0000010215915,"teacher_disagreement_score":0.07928411,"about_ca_system_score_codex":0.000074605385,"about_ca_system_score_gemma":0.00013223763,"threshold_uncertainty_score":0.7689189},"labels":[],"label_agreement":null},{"id":"W4413891905","doi":"10.5802/alco.433","title":"Cluster monomials in graph Laurent phenomenon algebras","year":2025,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Haverford College; University of Minnesota; Harvard University; National Science Foundation","keywords":"Phenomenon; Cluster algebra; Monomial; Mathematics; Graph; Cluster (spacecraft); Laurent polynomial; Combinatorics; Pure mathematics; Computer science; Physics; Epistemology; Philosophy; Quantum mechanics; Quantum; Programming language","score_opus":0.019116274181791442,"score_gpt":0.2908426297751628,"score_spread":0.2717263555933713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413891905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97429335,0.0011128101,0.00153403,0.0013529644,0.004601806,0.0010698559,0.000004767747,0.0002876014,0.015742805],"genre_scores_gemma":[0.9968855,0.00009090558,0.000320535,0.0006618216,0.00011544597,0.00014992015,0.000009608234,0.00006318345,0.0017030864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99682,0.00021247889,0.0009892114,0.00073293096,0.00046867903,0.0007767206],"domain_scores_gemma":[0.9975726,0.00089023216,0.0002462382,0.0009910876,0.0001371634,0.00016267043],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006721922,0.0005199244,0.000822652,0.0006034143,0.00019483965,0.00011865033,0.00079406356,0.0003639241,0.00015738788],"category_scores_gemma":[0.0004601805,0.000509361,0.00024982408,0.0014766773,0.00010766683,0.00022270842,0.00040154587,0.0005648658,0.000030278934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058299665,0.00033837714,0.0029590386,0.00010893045,0.00009378136,0.000009800841,0.0004352677,0.000014182127,0.000023881765,0.9864964,0.008294889,0.0011671466],"study_design_scores_gemma":[0.0028005515,0.00009108775,0.0020198065,0.00010933135,0.00007128528,0.0000031628997,0.00015881295,0.000117872245,0.0004193314,0.990488,0.0032442238,0.0004765244],"about_ca_topic_score_codex":0.000111336405,"about_ca_topic_score_gemma":0.00007972844,"teacher_disagreement_score":0.022592135,"about_ca_system_score_codex":0.0004105476,"about_ca_system_score_gemma":0.0002060971,"threshold_uncertainty_score":0.9997358},"labels":[],"label_agreement":null},{"id":"W4413948065","doi":"10.1016/j.jalgebra.2025.08.027","title":"Hom-orthogonal modules and brick-Brauer-Thrall conjectures","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Canadian Defence Academy","keywords":"Mathematics; Brick; Pure mathematics; Composite material; Materials science","score_opus":0.01409011205174051,"score_gpt":0.29177075376864997,"score_spread":0.2776806417169095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413948065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910988,0.0020701198,0.0029118266,0.0009933644,0.0011185898,0.0000974951,0.0000022664474,0.000021398911,0.0016861131],"genre_scores_gemma":[0.99563235,0.00012908217,0.0031044807,0.0004153107,0.00034431508,0.0000013930503,4.15388e-7,0.000016356209,0.00035631203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987239,0.00006208182,0.0005365279,0.00014842724,0.000320735,0.0002083153],"domain_scores_gemma":[0.99880445,0.0003563148,0.00034757482,0.00018788262,0.00019800059,0.0001057706],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000290721,0.0001839385,0.0004423799,0.00017916606,0.00010085747,0.00008447157,0.00025187532,0.00012958869,0.0000838875],"category_scores_gemma":[0.00031718734,0.00013802532,0.0001739139,0.0001507805,0.00008791798,0.00015516843,0.00009552982,0.0003317334,0.0000012010939],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000093440074,0.00005419817,0.0010229424,0.000067499626,0.00021498001,0.000026292466,0.0002503976,0.000011035478,0.00022628756,0.9852114,0.008168601,0.0046529346],"study_design_scores_gemma":[0.0009650524,0.0001264205,0.0068519763,0.00011395027,0.000110760266,0.00013255989,0.00010780472,0.000045953722,0.00083517836,0.9885226,0.0020532745,0.00013448342],"about_ca_topic_score_codex":0.000005375854,"about_ca_topic_score_gemma":0.000004728633,"teacher_disagreement_score":0.0061153267,"about_ca_system_score_codex":0.000035554982,"about_ca_system_score_gemma":0.00011362916,"threshold_uncertainty_score":0.56285095},"labels":[],"label_agreement":null},{"id":"W4413965804","doi":"10.70930/tac/1pw2d08e","title":"From abelian categories to 2-abelian bicategories","year":2024,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Abelian group; Mathematics; Rank of an abelian group; Elementary abelian group; Pure mathematics","score_opus":0.014106474616076833,"score_gpt":0.2877145947154717,"score_spread":0.2736081200993949,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965804","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85596484,0.0087280385,0.12274764,0.0024131117,0.001162738,0.0015839522,0.00026812713,0.00089945225,0.006232126],"genre_scores_gemma":[0.99654394,0.00009584725,0.0012865207,0.000064171174,0.00048266843,0.00032798506,0.00002850003,0.000042624666,0.0011277145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986914,0.00007110559,0.00039271725,0.00040320272,0.00020546396,0.00023612381],"domain_scores_gemma":[0.9982275,0.0008865853,0.000076720324,0.000561551,0.00011263441,0.00013502598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037168548,0.00024694827,0.00034525883,0.00015896268,0.00021280051,0.00014331147,0.00033521483,0.000120988225,0.00014865908],"category_scores_gemma":[0.000103162005,0.00020319517,0.000077042685,0.0005467232,0.0003560208,0.00018138277,0.00013777363,0.00015420537,0.00003688902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005265551,0.000027614178,0.000023872852,0.00012838219,0.00009184246,9.2696223e-7,0.003763,0.000002012362,0.0010110015,0.98413247,0.000762706,0.010003536],"study_design_scores_gemma":[0.0001025504,0.00004911489,0.000052466643,0.00003174932,0.00010685419,0.0000034139405,0.0024580513,0.0000067291267,0.01184652,0.95682013,0.028296033,0.00022638068],"about_ca_topic_score_codex":0.0001410833,"about_ca_topic_score_gemma":0.000012450718,"teacher_disagreement_score":0.14057915,"about_ca_system_score_codex":0.000021051117,"about_ca_system_score_gemma":0.00008102796,"threshold_uncertainty_score":0.8286059},"labels":[],"label_agreement":null},{"id":"W4413965836","doi":"10.70930/tac/qa04oz7o","title":"Sifted colimits, strongly finitary monads and continuousalgebras","year":2025,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Grantová Agentura České Republiky","keywords":"Finitary; Mathematics; Computer science; Algebra over a field; Pure mathematics","score_opus":0.009698068200970704,"score_gpt":0.2682098689726857,"score_spread":0.25851180077171504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95550275,0.002825059,0.031413604,0.00023775718,0.00007383097,0.00053948985,0.000016258298,0.00008034844,0.009310912],"genre_scores_gemma":[0.99845886,0.000085699096,0.0003675352,0.000048784153,0.00003327163,0.00010971651,0.0000057760644,0.000008015703,0.00088234205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994291,0.00005064223,0.00020254131,0.0001513885,0.00006471064,0.00010162291],"domain_scores_gemma":[0.99891824,0.0006649796,0.00007372571,0.00023757736,0.00007198977,0.00003348216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021107165,0.00010672677,0.00020458484,0.000054011365,0.00013827332,0.000020154452,0.00011434062,0.000068474685,0.000019279765],"category_scores_gemma":[0.000080298,0.000094242816,0.000024212179,0.00014295374,0.00027410395,0.000054435808,0.00007775474,0.00007410853,4.826167e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006203768,0.000027176911,0.00015518186,0.00009256519,0.00004449044,1.7991776e-7,0.00023157554,6.2633666e-7,0.00008924368,0.9939851,0.00017604679,0.0051357863],"study_design_scores_gemma":[0.00027960597,0.000025000996,0.0005302902,0.0000084492185,0.00006861977,0.0000025368297,0.00083552534,0.000007909625,0.0014249205,0.99360096,0.0031332863,0.000082884355],"about_ca_topic_score_codex":0.000010503769,"about_ca_topic_score_gemma":0.000002642091,"teacher_disagreement_score":0.04295612,"about_ca_system_score_codex":0.0000052034775,"about_ca_system_score_gemma":0.000035539622,"threshold_uncertainty_score":0.38431105},"labels":[],"label_agreement":null},{"id":"W4413965845","doi":"10.70930/tac/uugyq2p5","title":"Categorical generalisations of quantum double models","year":2024,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Friedrich-Alexander-Universität Erlangen-Nürnberg","keywords":"Categorical variable; Quantum; Computer science; Mathematics; Physics; Quantum mechanics; Machine learning","score_opus":0.03519958499275381,"score_gpt":0.302274547693624,"score_spread":0.26707496270087017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965845","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26196256,0.003531592,0.72717285,0.00020973127,0.0002015315,0.0005140007,0.000028422157,0.0001428142,0.006236523],"genre_scores_gemma":[0.9988056,0.00009792373,0.00049346493,0.000006453219,0.000097045566,0.0001263607,0.000008873871,0.00001500375,0.00034927996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930614,0.000037240385,0.0002839081,0.00015603295,0.000119969336,0.000096718606],"domain_scores_gemma":[0.9991352,0.00039779424,0.00006937318,0.00027377103,0.00008618263,0.00003769834],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002963919,0.000100500416,0.00019812625,0.00007315723,0.00007962572,0.000021811673,0.00013955776,0.0000663136,0.00003891799],"category_scores_gemma":[0.000015103404,0.00008143239,0.00005863324,0.00022767378,0.00022778836,0.00012556648,0.0000469176,0.00007690568,0.0000014435302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034889264,0.000031346088,0.0000027626397,0.00016819008,0.000042634234,1.5279066e-7,0.0009878554,0.00007287755,0.00029803452,0.9972453,0.0001206281,0.000995327],"study_design_scores_gemma":[0.00013200968,0.00002194824,0.0000035220526,0.000009241747,0.0000726006,0.000004549813,0.0004148436,0.0009241458,0.0049954555,0.99265766,0.00068132,0.00008270958],"about_ca_topic_score_codex":0.000030897376,"about_ca_topic_score_gemma":0.0000010681962,"teacher_disagreement_score":0.73684305,"about_ca_system_score_codex":0.00000906149,"about_ca_system_score_gemma":0.000054334447,"threshold_uncertainty_score":0.33207163},"labels":[],"label_agreement":null},{"id":"W4413965907","doi":"10.70930/tac/9lqtai33","title":"New exactness conditions involving split cubes in protomodular categories","year":2018,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Fundação para a Ciência e a Tecnologia; Pan African Materials Institute; National Research Foundation","keywords":"Computer science; Mathematics","score_opus":0.016048884673837163,"score_gpt":0.2930933960373513,"score_spread":0.27704451136351416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965907","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9473527,0.0005692575,0.047148198,0.00013430041,0.00012277813,0.0012777555,0.000013413838,0.00009920116,0.0032823961],"genre_scores_gemma":[0.9977547,0.000026097348,0.0010576454,0.000019669791,0.00024471382,0.00038383182,0.000009687109,0.000018019662,0.00048566714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910927,0.0000706448,0.00031124108,0.0002142702,0.00012314074,0.00017145682],"domain_scores_gemma":[0.99894935,0.00034695782,0.00012752156,0.00038144618,0.00012979905,0.000064906235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034434558,0.00014794826,0.00024961392,0.000099224955,0.00019748205,0.00003669046,0.00021375128,0.00008765303,0.00014281293],"category_scores_gemma":[0.00010906039,0.00013195448,0.000034598037,0.00029335095,0.0004653977,0.0001788447,0.000079367324,0.000099901714,0.000004747503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004133785,0.000035025325,0.00028463546,0.00007681601,0.000018760195,2.1417294e-7,0.001896478,0.0000012197487,0.00037690048,0.9957738,0.00008840646,0.0014063924],"study_design_scores_gemma":[0.00026796173,0.000044025,0.0006199391,0.000022623744,0.000029649398,0.0000041445674,0.0016288576,0.00001186659,0.012905953,0.983377,0.000945498,0.00014247673],"about_ca_topic_score_codex":0.000087452856,"about_ca_topic_score_gemma":0.000039973802,"teacher_disagreement_score":0.050401967,"about_ca_system_score_codex":0.000016383367,"about_ca_system_score_gemma":0.00008974745,"threshold_uncertainty_score":0.53809476},"labels":[],"label_agreement":null},{"id":"W4413965996","doi":"10.70930/tac/hx7izsz0","title":"Categorical representations of categorical groups","year":2006,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Categorical variable; Computer science; Natural language processing; Artificial intelligence; Mathematics; Statistics","score_opus":0.012486856346429116,"score_gpt":0.2797100032478845,"score_spread":0.2672231469014554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965996","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6859472,0.0009909178,0.29554564,0.0002124668,0.00014511273,0.0007762934,0.00002266132,0.00012199585,0.016237747],"genre_scores_gemma":[0.9985685,0.000024569446,0.00066705066,0.000006784189,0.00015225243,0.0001250853,0.000017440736,0.000015108374,0.0004232587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99895734,0.000083306106,0.000444032,0.00019915946,0.0001762039,0.00013994743],"domain_scores_gemma":[0.99844915,0.0007467559,0.00021880725,0.0003946371,0.00014704854,0.00004360002],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029699327,0.00012984831,0.00029045038,0.000075847776,0.00012411944,0.000012757519,0.00019157953,0.0000889686,0.000049242422],"category_scores_gemma":[0.00007809041,0.00011097983,0.0000717696,0.00029480673,0.0003933557,0.00008363382,0.00006831591,0.00009359535,0.000001688037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044982196,0.00011542653,0.00025204098,0.0000634646,0.000022754979,2.9712768e-7,0.00024061718,0.00000920121,0.0004525843,0.9978471,0.00021348496,0.0007380872],"study_design_scores_gemma":[0.00023037047,0.000032617405,0.0006859223,0.0000022900595,0.00007081273,0.000009454737,0.0005543162,0.000008553495,0.006422693,0.9914375,0.00043842453,0.000107022606],"about_ca_topic_score_codex":0.000118639306,"about_ca_topic_score_gemma":0.0000054592592,"teacher_disagreement_score":0.31262127,"about_ca_system_score_codex":0.000012030797,"about_ca_system_score_gemma":0.000036170473,"threshold_uncertainty_score":0.4525626},"labels":[],"label_agreement":null},{"id":"W4413966005","doi":"10.70930/tac/4acl4zf9","title":"On bicolimits of C^*-categories","year":2020,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Computer science; Natural language processing; Mathematics","score_opus":0.022223060460786016,"score_gpt":0.27283548084606574,"score_spread":0.2506124203852797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413966005","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95187736,0.00052413926,0.036419142,0.0005868328,0.000075915996,0.00060816447,0.000028637083,0.00009198331,0.009787812],"genre_scores_gemma":[0.99938214,0.00003246502,0.0002699031,0.0000789079,0.000075747615,0.000059750575,0.0000035135804,0.0000122861165,0.0000852847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935913,0.000045492652,0.00024426045,0.00014229065,0.000120643235,0.00008820867],"domain_scores_gemma":[0.9988856,0.00058726396,0.00015605381,0.0002323418,0.00008468774,0.00005410817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015229483,0.00010687479,0.00023928081,0.000031347983,0.00007370053,0.000008938054,0.00017082728,0.000056307606,0.000051354124],"category_scores_gemma":[0.00016043603,0.00008781006,0.00004409473,0.00017855444,0.00025913108,0.00004878384,0.00005263978,0.00007214937,0.000002549464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013398759,0.000036433124,0.000021290236,0.00012854578,0.000029013221,7.321626e-8,0.0011843928,0.0000050267668,0.00038047048,0.9961402,0.00011407238,0.0018264876],"study_design_scores_gemma":[0.00019133484,0.00010759497,0.000046077097,0.0000068928775,0.000039259412,6.541284e-7,0.0007682791,0.000005812933,0.02502583,0.9730681,0.0006591659,0.00008100833],"about_ca_topic_score_codex":0.0000029081816,"about_ca_topic_score_gemma":3.867952e-7,"teacher_disagreement_score":0.047504768,"about_ca_system_score_codex":0.0000034370235,"about_ca_system_score_gemma":0.000026741913,"threshold_uncertainty_score":0.35807902},"labels":[],"label_agreement":null},{"id":"W4413966034","doi":"10.70930/tac/immf8vur","title":"A Brauer-Clifford-Long group for the category of dyslectic Hopf Yetter-Drinfel'd (S,H)-module algebras","year":2018,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Brauer group; Hopf algebra; Mathematics; Group (periodic table); Pure mathematics; Quantum group; Algebra over a field; Chemistry; Organic chemistry","score_opus":0.016873891115994844,"score_gpt":0.285618359634573,"score_spread":0.26874446851857814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413966034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56316894,0.0008080417,0.4324937,0.00026290596,0.00024537576,0.0014138985,0.000025140187,0.000072661765,0.0015093327],"genre_scores_gemma":[0.99810493,0.000038618135,0.0007196628,0.00006699035,0.00033886073,0.0004167018,0.000006803969,0.000026283138,0.0002811353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990293,0.00006188512,0.00036477944,0.00021216925,0.00014066778,0.00019121463],"domain_scores_gemma":[0.9974198,0.0014961818,0.00025575914,0.00057456613,0.00021070415,0.00004303259],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059141073,0.00016305232,0.0002838123,0.000058640642,0.00032739056,0.000025167035,0.00034634638,0.00008914374,0.00005316447],"category_scores_gemma":[0.00014435424,0.000113862116,0.0000928165,0.00021072468,0.00083253725,0.00009496066,0.00009484026,0.000089754205,0.0000019858733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001249362,0.000058009777,0.000099486126,0.00014345096,0.000090189744,4.26941e-8,0.0007898131,6.675633e-7,0.00043792522,0.9925687,0.00018938676,0.0054974114],"study_design_scores_gemma":[0.00035986042,0.0001511406,0.00046860502,0.000011521762,0.00015230243,0.00000465369,0.0005518055,0.000026739543,0.013906758,0.9826672,0.0015733063,0.00012612017],"about_ca_topic_score_codex":0.000029065846,"about_ca_topic_score_gemma":0.000020169644,"teacher_disagreement_score":0.434936,"about_ca_system_score_codex":0.000010591625,"about_ca_system_score_gemma":0.00003834273,"threshold_uncertainty_score":0.46431625},"labels":[],"label_agreement":null},{"id":"W4413966147","doi":"10.70930/tac/51kjx7b6","title":"Affine geometric spaces in tangent categories","year":2019,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Affine transformation; Mathematics; Tangent; Pure mathematics; Geometry","score_opus":0.011593370194762772,"score_gpt":0.2621924817962154,"score_spread":0.25059911160145265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413966147","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98952246,0.001198587,0.0035588404,0.000089362045,0.00008995355,0.00047343937,0.00000572431,0.000036658166,0.005024975],"genre_scores_gemma":[0.99844253,0.00009513862,0.00023811299,0.000013219381,0.000059698843,0.00010523719,0.000005095491,0.000012615407,0.0010283696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992804,0.00004620014,0.00023593828,0.00017385464,0.00012421845,0.00013938172],"domain_scores_gemma":[0.99896985,0.000502567,0.00011571798,0.00031838825,0.00005953993,0.000033934513],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037018748,0.00011920443,0.0002447582,0.00016521724,0.0000515879,0.000022596842,0.00016753795,0.00006642845,0.00016202098],"category_scores_gemma":[0.00007084639,0.00009922913,0.000032830063,0.00049895997,0.00013311688,0.000089829526,0.00006928033,0.00008538503,0.000008279063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043797794,0.00004311636,0.0011836886,0.000089841094,0.000015860009,1.3175801e-7,0.00060272915,0.0000063614534,0.0001232417,0.9950395,0.000030833107,0.0028208788],"study_design_scores_gemma":[0.00026719575,0.000039007948,0.0008418584,0.000007470692,0.000019688467,0.00000206444,0.0014461161,0.0000035628577,0.0035620509,0.99161756,0.0020822485,0.000111171896],"about_ca_topic_score_codex":0.000029337129,"about_ca_topic_score_gemma":0.00000897504,"teacher_disagreement_score":0.008920052,"about_ca_system_score_codex":0.000014887955,"about_ca_system_score_gemma":0.000027317223,"threshold_uncertainty_score":0.40464467},"labels":[],"label_agreement":null},{"id":"W4413966153","doi":"10.70930/tac/oqv56iwj","title":"Crossed products of crossed modules of Hopf monoids","year":2018,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Agencia Estatal de Investigación; Ministerio de Economía y Competitividad","keywords":"Mathematics; Pure mathematics","score_opus":0.016348773972213446,"score_gpt":0.2867172563875483,"score_spread":0.27036848241533484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413966153","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9837292,0.00026662665,0.014343545,0.000037146703,0.000050372924,0.00031320573,0.000019217408,0.000022410703,0.0012182703],"genre_scores_gemma":[0.99806714,0.000018447674,0.0014938168,0.000005086242,0.00010973827,0.00004871963,0.0000033335996,0.000011673051,0.00024202689],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992736,0.00003991692,0.0003255594,0.00014932625,0.00011418953,0.000097419055],"domain_scores_gemma":[0.99864054,0.00023911534,0.00026581268,0.0004584169,0.00037100306,0.000025085816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033677014,0.00010022241,0.00026339735,0.000044710858,0.00009572016,0.000009252562,0.00019331643,0.0000626239,0.000025998288],"category_scores_gemma":[0.00015095055,0.00008304802,0.00003692408,0.00019338496,0.0010993754,0.0000653362,0.000059089463,0.000043994653,6.893387e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012147065,0.000068707115,0.000059051323,0.00021427851,0.000032257958,1.8218206e-8,0.0012605067,0.0000012405286,0.015129767,0.98157245,0.000044168668,0.0014960619],"study_design_scores_gemma":[0.00016565934,0.000058686015,0.00024287813,0.000008530734,0.00002744983,6.01067e-7,0.00031937982,0.0000043498258,0.3200492,0.67888427,0.0001864687,0.000052547886],"about_ca_topic_score_codex":0.000015086956,"about_ca_topic_score_gemma":0.0000012581407,"teacher_disagreement_score":0.30491945,"about_ca_system_score_codex":0.000003750265,"about_ca_system_score_gemma":0.000040607796,"threshold_uncertainty_score":0.40506947},"labels":[],"label_agreement":null},{"id":"W4413966222","doi":"10.70930/tac/ybdwworg","title":"Generalized Hopf modules for bimonads","year":2013,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; Computer science","score_opus":0.016510435307126394,"score_gpt":0.27420228195258,"score_spread":0.25769184664545364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413966222","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81645936,0.00049940345,0.18035363,0.00018360277,0.000063388936,0.0010221393,0.0000143704165,0.000062223524,0.0013418754],"genre_scores_gemma":[0.9936054,0.000029932902,0.0046324376,0.00002960368,0.00010415437,0.0009536331,0.000007346171,0.000012341792,0.0006251573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995406,0.00002597663,0.00016555795,0.00011374962,0.000057629903,0.00009647467],"domain_scores_gemma":[0.9991667,0.00038274724,0.00008080476,0.0002300223,0.0001055441,0.00003417785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001602886,0.000083832805,0.00015576727,0.00002887676,0.00011243905,0.000020657462,0.0001196375,0.000049316932,0.00006422631],"category_scores_gemma":[0.000048915565,0.00006632764,0.000041036084,0.00006271879,0.00014106755,0.000070222224,0.000030066893,0.000030151736,0.000002110483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020140784,0.00001833565,0.000010198536,0.00005064613,0.000020498888,5.9693877e-9,0.00017658724,0.0000015020132,0.0004817939,0.9924039,0.00034105952,0.0064752884],"study_design_scores_gemma":[0.0002347893,0.0000213382,0.000054458695,0.000002492261,0.000028396162,7.7303343e-7,0.00027774903,0.000028746465,0.0056573832,0.99167615,0.0019388248,0.000078874094],"about_ca_topic_score_codex":0.00001677102,"about_ca_topic_score_gemma":8.4589885e-7,"teacher_disagreement_score":0.17714603,"about_ca_system_score_codex":0.0000039351353,"about_ca_system_score_gemma":0.0000115434805,"threshold_uncertainty_score":0.27047625},"labels":[],"label_agreement":null},{"id":"W4413966241","doi":"10.70930/tac/1aev5kr6","title":"Morphisms and modules for poly-bicategories","year":2003,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Morphism; Mathematics; Pure mathematics; Algebra over a field","score_opus":0.016247999973948896,"score_gpt":0.2720348003222306,"score_spread":0.2557868003482817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413966241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49927533,0.005653643,0.48926365,0.00019373013,0.00012932387,0.0011893798,0.000039220733,0.000105660074,0.004150057],"genre_scores_gemma":[0.9947253,0.000078395446,0.004436168,0.000018684732,0.000047194426,0.0002830613,0.0000038203398,0.000014450444,0.00039294508],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943775,0.000040284594,0.00018338113,0.00015960551,0.000063757565,0.00011522482],"domain_scores_gemma":[0.9989869,0.0005720678,0.000093470204,0.0002315156,0.00007191584,0.0000441093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031366578,0.000110892404,0.00019224087,0.000036188125,0.00018125781,0.00002208305,0.00008482118,0.00006099147,0.000016082247],"category_scores_gemma":[0.00012883489,0.000092973256,0.00003180115,0.000077247045,0.000320536,0.00006877738,0.00002449375,0.0000429591,3.5405515e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035896403,0.000021235888,0.000035849782,0.00007828108,0.00002423448,2.479432e-8,0.00039837847,3.270975e-7,0.0002096974,0.9956315,0.000036539222,0.0035280215],"study_design_scores_gemma":[0.00025163585,0.000035311296,0.000041180247,0.0000035109038,0.000050495277,0.000004770682,0.00091910496,0.000003554916,0.011596534,0.9832914,0.0036988256,0.00010366594],"about_ca_topic_score_codex":0.0000032262794,"about_ca_topic_score_gemma":8.0604906e-7,"teacher_disagreement_score":0.49544996,"about_ca_system_score_codex":0.000003963913,"about_ca_system_score_gemma":0.000017664292,"threshold_uncertainty_score":0.37913394},"labels":[],"label_agreement":null},{"id":"W4413991540","doi":"10.1017/s144678872510116x","title":"BUBBLES IN THE AFFINE BRAUER AND KAUFFMAN CATEGORIES","year":2025,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Government of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Stanley Medical Research Institute","keywords":"Mathematics; Affine transformation; Pure mathematics","score_opus":0.028905976184673447,"score_gpt":0.3119944786159518,"score_spread":0.28308850243127837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413991540","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9742623,0.00011265459,0.0005912717,0.023090271,0.0003807788,0.00025259462,0.0000013014326,0.000009758549,0.00129908],"genre_scores_gemma":[0.9949318,0.000020284628,0.0025783798,0.00042887699,0.00013960707,0.0000037574039,7.7791555e-8,0.000009012109,0.001888167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871004,0.00010994318,0.0005303063,0.00009387362,0.00035120343,0.00020462085],"domain_scores_gemma":[0.99871665,0.00065067946,0.00023963646,0.00028494277,0.00006744386,0.00004065739],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009323943,0.00014774426,0.00033283688,0.000023326704,0.00013772032,0.00009689045,0.00056646456,0.00011853488,0.00006276697],"category_scores_gemma":[0.00039948613,0.0000680005,0.00030139508,0.00026466427,0.0001924325,0.00009483054,0.000112154186,0.00047743617,0.000001051418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010953765,0.00009090968,0.00043220943,0.00017046029,0.000087969485,0.0000023916375,0.0031057226,0.000004170471,0.00006521548,0.9717587,0.024120336,0.00015094473],"study_design_scores_gemma":[0.0004383994,0.000027315278,0.0025627569,0.00016470632,0.00010535073,0.000054050317,0.0024889552,0.000035376706,0.00020894058,0.9927256,0.0011152605,0.00007326233],"about_ca_topic_score_codex":0.00000567304,"about_ca_topic_score_gemma":0.0000037176753,"teacher_disagreement_score":0.023005076,"about_ca_system_score_codex":0.000050154144,"about_ca_system_score_gemma":0.000055283428,"threshold_uncertainty_score":0.277298},"labels":[],"label_agreement":null},{"id":"W4414012198","doi":"10.1016/j.jpaa.2025.108083","title":"Hopf crossed module (co)algebras","year":2025,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Hopf algebra; Pure mathematics; Algebra over a field","score_opus":0.01701718452046213,"score_gpt":0.28571223870615836,"score_spread":0.2686950541856962,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414012198","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98703194,0.0005146368,0.0027715766,0.00067105767,0.0006443223,0.00017327932,0.000002377877,0.000030391931,0.008160416],"genre_scores_gemma":[0.99695855,0.0000620575,0.0016279445,0.0004964373,0.0004171152,0.000005174001,7.6624883e-7,0.000020752297,0.0004111716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986553,0.000026926988,0.00057456986,0.00018319282,0.00030786448,0.00025211688],"domain_scores_gemma":[0.99896765,0.00020186795,0.00034822227,0.0002136792,0.0001479992,0.00012055609],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033277477,0.00021370701,0.0004951585,0.00015857311,0.00016202407,0.00012046055,0.00028736843,0.00017028957,0.00008346425],"category_scores_gemma":[0.00010926479,0.0001635171,0.00015263999,0.00021177375,0.00008305773,0.0001118144,0.000072108625,0.00037735258,0.000003844486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009524309,0.00006858968,0.00017515286,0.00007894857,0.00014168766,0.000008520174,0.00020799818,0.0000031286181,0.0013628881,0.9843694,0.011397364,0.0020910609],"study_design_scores_gemma":[0.0013405718,0.0000674231,0.00071193825,0.000057825648,0.000101972306,0.00002880026,0.00018922058,0.000009802291,0.009142593,0.9863112,0.0018804033,0.0001582654],"about_ca_topic_score_codex":0.000001601521,"about_ca_topic_score_gemma":0.0000013491534,"teacher_disagreement_score":0.0099266395,"about_ca_system_score_codex":0.00003396037,"about_ca_system_score_gemma":0.00010664468,"threshold_uncertainty_score":0.6668034},"labels":[],"label_agreement":null},{"id":"W4414044654","doi":"10.1080/00927872.2025.2522901","title":"Affine Frobenius Brauer categories","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Affine transformation; Homomorphism; Conjecture; Brauer's theorem on induced characters; Frobenius group; Superalgebra; Algebra over a field","score_opus":0.04810139029173279,"score_gpt":0.35869434954218893,"score_spread":0.31059295925045616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414044654","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68240553,0.0077467817,0.007800829,0.017578049,0.0022262146,0.001350257,0.00001316575,0.0006777612,0.2802014],"genre_scores_gemma":[0.9887845,0.00018741084,0.008644949,0.00024832867,0.0000317806,0.000093371615,0.00001268118,0.000016837399,0.0019801203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900687,0.00011678016,0.0003788864,0.00018439544,0.000112041605,0.00020102935],"domain_scores_gemma":[0.9968836,0.0006251293,0.00007670738,0.0023028029,0.000080289916,0.000031494106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021626923,0.0001451013,0.00024075205,0.00018120182,0.00019517016,0.000051416275,0.0013137578,0.00011704257,0.00012577254],"category_scores_gemma":[0.0003913502,0.00014076513,0.0000661889,0.0005999249,0.00016356126,0.00010204534,0.000674558,0.00031632688,0.000017456532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006862975,0.00009415431,0.0012491895,0.000017692913,0.000023910485,4.4337887e-7,0.0003229287,0.000002464344,0.00002184742,0.99272174,0.00274255,0.002796201],"study_design_scores_gemma":[0.00043766847,0.000008357884,0.0019734318,0.000048668237,0.000020920766,0.0000011676414,0.00016863119,0.00019571887,0.0002471539,0.9857638,0.011005495,0.00012899638],"about_ca_topic_score_codex":0.00009138421,"about_ca_topic_score_gemma":0.00027496766,"teacher_disagreement_score":0.306379,"about_ca_system_score_codex":0.000094883355,"about_ca_system_score_gemma":0.000093816256,"threshold_uncertainty_score":0.57402354},"labels":[],"label_agreement":null},{"id":"W4414107627","doi":"10.1007/s11005-025-01932-1","title":"Categorical pentagon relations and Koszul duality","year":2025,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Institute for Advanced Study","keywords":"Pentagon; Categorification; Quadratic equation; Duality (order theory); Quadratic algebra; Equivalence (formal languages); Interpretation (philosophy); Quantum; Algebra over a field","score_opus":0.02231759905298624,"score_gpt":0.31161341389684766,"score_spread":0.2892958148438614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414107627","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8261078,0.000029541248,0.16015519,0.005427197,0.00030148076,0.0003805763,0.0000018716386,0.00009217953,0.007504171],"genre_scores_gemma":[0.9927894,0.0000022094318,0.0059686103,0.00090691244,0.00009205568,0.000028222295,0.0000019958295,0.00001499953,0.00019562486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989083,0.00007094208,0.0003560059,0.00024144426,0.00019834822,0.0002249924],"domain_scores_gemma":[0.99882174,0.0007384845,0.00006158993,0.00031080729,0.000019784662,0.0000476065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019352608,0.00016058689,0.00031489888,0.000043677064,0.00008024372,0.000041525815,0.00014391683,0.00008923673,0.00003877285],"category_scores_gemma":[0.00023388308,0.00014041473,0.00006676728,0.0002447455,0.000111633264,0.0000904786,0.00011818514,0.0002907078,0.000014151861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067087,0.00010358158,0.000430849,0.00012561028,0.000019373752,0.000003802228,0.00034322744,0.000008264626,0.00014748116,0.9965431,0.0019238583,0.00034412974],"study_design_scores_gemma":[0.0003781727,0.000007870593,0.00054786145,0.000051367806,0.00003507577,0.0000021334408,0.000054790664,0.0010638814,0.00017866652,0.9974785,0.00006891026,0.00013275557],"about_ca_topic_score_codex":0.000007744593,"about_ca_topic_score_gemma":0.0000012909704,"teacher_disagreement_score":0.16668159,"about_ca_system_score_codex":0.00007475618,"about_ca_system_score_gemma":0.000018647845,"threshold_uncertainty_score":0.57259464},"labels":[],"label_agreement":null},{"id":"W4414135742","doi":"10.1017/9781009335935","title":"ADE","year":2025,"lang":"en","type":"book","venue":"Cambridge University Press eBooks","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"String (physics); Algebra over a field; Connection (principal bundle); Algebraic number; Algebraic geometry; Calculus (dental)","score_opus":0.026210026381821502,"score_gpt":0.23145001356903538,"score_spread":0.20523998718721387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414135742","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00013288394,0.00010335083,0.00051722745,0.000010936368,0.0010079534,0.00041415988,0.00011423376,0.00023084738,0.9974684],"genre_scores_gemma":[0.00026866916,0.000024695182,0.0001887275,0.00005938198,0.00029265528,0.0000010649167,0.000029680628,0.000040532945,0.9990946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.998675,0.00006016207,0.00020090902,0.00047014724,0.0002929686,0.00030083413],"domain_scores_gemma":[0.9985364,0.00023591136,0.0002095658,0.00075649953,0.00013724172,0.00012438867],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00006736336,0.0003864577,0.00054224354,0.00015219672,0.00017090359,0.00003900259,0.00074115937,0.0005855761,0.0000052056334],"category_scores_gemma":[0.000040739284,0.0004381807,0.00030336514,0.000014870142,0.0001239633,0.000043072523,0.0005299125,0.0005771058,0.0000047286203],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026831663,0.000005387831,9.234732e-8,0.00015579422,0.000110644985,0.000051694336,0.00001717431,2.3089764e-7,6.7497757e-7,0.60546196,0.3940303,0.00013920567],"study_design_scores_gemma":[0.0005852596,0.000025860929,8.364186e-7,0.00026042634,0.00038789114,0.0000045733227,0.000016390402,0.000010597625,0.000116135416,0.036886178,0.9612954,0.00041041506],"about_ca_topic_score_codex":0.00003980373,"about_ca_topic_score_gemma":7.176351e-7,"teacher_disagreement_score":0.5685758,"about_ca_system_score_codex":0.0003917628,"about_ca_system_score_gemma":0.0005289489,"threshold_uncertainty_score":0.999807},"labels":[],"label_agreement":null},{"id":"W4414459966","doi":"10.1090/proc/17352","title":"Quasi-arithmetic hyperbolic Coxeter prisms","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"Russian Science Foundation; King Abdullah University of Science and Technology","keywords":"Coxeter group; Commensurability (mathematics); Class (philosophy); Reflection (computer programming); Graph","score_opus":0.014277987206122379,"score_gpt":0.2835197197212951,"score_spread":0.2692417325151727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414459966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9847796,0.00003550046,0.002033821,0.0018108136,0.00015293057,0.00044516133,0.0000020555499,0.00010734631,0.010632746],"genre_scores_gemma":[0.97425395,0.000012588899,0.024047129,0.0006796927,0.00006633984,0.00004648325,1.2026389e-7,0.000029044395,0.0008646301],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984258,0.000012500604,0.0004920109,0.00028155642,0.00044544318,0.0003426808],"domain_scores_gemma":[0.99862385,0.00038851748,0.0004380465,0.00027529005,0.00020336841,0.000070903705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003584038,0.00023660054,0.0006384352,0.000028673543,0.0001618049,0.00005254194,0.00074388843,0.000082188264,0.000035224104],"category_scores_gemma":[0.0006550236,0.00015005037,0.000547165,0.0006845337,0.0006728917,0.00007389859,0.0003907686,0.00029002872,0.0000050829567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013956045,0.0002560282,0.0005396683,0.00042132262,0.00014483194,4.6454403e-8,0.00087129965,1.7389415e-7,0.0010666065,0.9910739,0.004989639,0.0006225029],"study_design_scores_gemma":[0.0002723746,0.00007853505,0.0004831379,0.00015433169,0.00015320329,0.0000039969605,0.0010067282,0.0005733402,0.0037554454,0.99307704,0.00028294403,0.0001589075],"about_ca_topic_score_codex":0.000011068453,"about_ca_topic_score_gemma":1.1937891e-7,"teacher_disagreement_score":0.022013308,"about_ca_system_score_codex":0.00007326254,"about_ca_system_score_gemma":0.000047388523,"threshold_uncertainty_score":0.61188763},"labels":[],"label_agreement":null},{"id":"W4414703195","doi":"10.1016/j.aim.2025.110559","title":"Smooth representations of affine Kac-Moody algebras","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Affine transformation; Affine Lie algebra; Irreducibility; Lie algebra; Quantum affine algebra; Prime (order theory); Vertex (graph theory); Affine representation; Class (philosophy)","score_opus":0.01679685203435729,"score_gpt":0.34177655789341926,"score_spread":0.324979705859062,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414703195","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7118016,0.003982548,0.07101947,0.0005705653,0.0020709904,0.0014569603,0.000019561005,0.0002489512,0.20882934],"genre_scores_gemma":[0.9354952,0.0002868317,0.062582135,0.00004306778,0.000050954568,0.000054053107,0.0000032251128,0.000025586112,0.0014589621],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986019,0.00003747636,0.00067635864,0.00021920577,0.00025114717,0.00021388207],"domain_scores_gemma":[0.99815005,0.0009048931,0.00024880772,0.0005764603,0.000089675385,0.000030084255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022674847,0.00017172635,0.00043014454,0.00017202321,0.00004984673,0.000014843805,0.00034177158,0.00008690957,0.00012936005],"category_scores_gemma":[0.0008397282,0.00015250381,0.0000916627,0.00054463913,0.00009982791,0.00019245887,0.00011439232,0.00014836295,0.0000037715686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000881536,0.00018716109,0.0005131498,0.00041495747,0.00002102499,0.0000017872026,0.0007172827,0.00014429366,0.000074918185,0.99522066,0.0002005805,0.0024953873],"study_design_scores_gemma":[0.0005286629,0.00002297586,0.00023889792,0.00024244325,0.000038125123,0.0000014277058,0.0007123532,0.0006027026,0.0014319833,0.99503696,0.0010160796,0.00012741158],"about_ca_topic_score_codex":0.0000083540335,"about_ca_topic_score_gemma":0.00003271161,"teacher_disagreement_score":0.22369358,"about_ca_system_score_codex":0.00004241477,"about_ca_system_score_gemma":0.000051651106,"threshold_uncertainty_score":0.6218925},"labels":[],"label_agreement":null},{"id":"W4414992782","doi":"10.1016/j.aim.2025.110566","title":"Higgs and Coulomb branches from superconformal raviolo vertex algebras","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada; Yale University; University of Nebraska Omaha - College of Arts and Sciences","keywords":"Vertex (graph theory); Coulomb; Vertex operator algebra; Higgs boson; Twist; Formalism (music); Operator algebra; Quantum","score_opus":0.011767164789787118,"score_gpt":0.2980732260319703,"score_spread":0.28630606124218316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414992782","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9815467,0.0036859617,0.0059978124,0.00012382846,0.0008084026,0.00034429377,0.000012153333,0.00009643952,0.007384393],"genre_scores_gemma":[0.97762686,0.0008059093,0.021001264,0.00016776516,0.000055357857,0.00003671679,0.0000060487905,0.000025709927,0.00027437945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862653,0.00003222591,0.0005355555,0.0002853036,0.00021640152,0.0003039957],"domain_scores_gemma":[0.9982869,0.0010807749,0.000111451314,0.00041902604,0.00004599305,0.000055860644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020719178,0.00025715987,0.0005048466,0.000101542726,0.00008930122,0.000052679734,0.0002999919,0.00015995321,0.00009734886],"category_scores_gemma":[0.00040217311,0.00022138111,0.000064034706,0.00020033582,0.00013822973,0.00039840705,0.00015025884,0.00023228723,0.0000073605024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019589892,0.000080308055,0.0022075253,0.00027139802,0.000033753407,0.0000038482126,0.0015700064,0.000007263201,0.00004594909,0.9878134,0.00014615979,0.007800762],"study_design_scores_gemma":[0.00089246343,0.000024174737,0.00069975184,0.0002823231,0.00004463708,0.0000029402534,0.0009894113,0.0011448609,0.00064990186,0.99360424,0.0014414105,0.00022390223],"about_ca_topic_score_codex":0.000021621994,"about_ca_topic_score_gemma":0.00003256819,"teacher_disagreement_score":0.015003453,"about_ca_system_score_codex":0.00004781694,"about_ca_system_score_gemma":0.00004448856,"threshold_uncertainty_score":0.902766},"labels":[],"label_agreement":null},{"id":"W4415187397","doi":"10.1142/s0219199725500919","title":"Commutative algebras in Grothendieck–Verdier categories, rigidity, and vertex operator algebras","year":2025,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Subcategory; Vertex operator algebra; Subalgebra; Abelian category; Vertex (graph theory); Converse; Rigidity (electromagnetism); Commutative property; Tensor product","score_opus":0.10571999335171126,"score_gpt":0.3732008586374773,"score_spread":0.2674808652857661,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415187397","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87629765,0.010576229,0.0052394997,0.0053716716,0.0008366858,0.003909472,0.00006002355,0.0003391039,0.097369656],"genre_scores_gemma":[0.98431885,0.00034922885,0.014231003,0.00027045896,0.000014410809,0.00030716107,0.000027235237,0.000045143497,0.00043651438],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99756664,0.0004171713,0.0010969517,0.0003568605,0.00023679863,0.00032559724],"domain_scores_gemma":[0.9946934,0.0025321369,0.00025279564,0.0023047547,0.00013481491,0.00008212306],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009241473,0.00036960343,0.00076547614,0.00039477396,0.0002764069,0.00011906659,0.001459856,0.00023412447,0.00003207649],"category_scores_gemma":[0.0008285351,0.0003554617,0.000081925675,0.0007949566,0.0004702685,0.00035306494,0.0012236469,0.0006828942,0.000008352859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018531633,0.00045047555,0.0034357088,0.00021097809,0.00007384432,0.0000060218813,0.006531837,0.000002487748,0.000015164289,0.98687905,0.0019424562,0.00043342652],"study_design_scores_gemma":[0.0014699955,0.000036388505,0.00073998,0.00045526022,0.000028414428,0.0000062850013,0.0032846844,0.0022370068,0.0001412574,0.98935986,0.0019172244,0.00032363608],"about_ca_topic_score_codex":0.00026156256,"about_ca_topic_score_gemma":0.00054881023,"teacher_disagreement_score":0.108021185,"about_ca_system_score_codex":0.00020456429,"about_ca_system_score_gemma":0.00034316527,"threshold_uncertainty_score":0.99988973},"labels":[],"label_agreement":null},{"id":"W4415234642","doi":"10.1007/s00209-025-03872-x","title":"Tamely presented morphisms and coherent pullback","year":2025,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"University of Southern California","keywords":"Morphism; Sheaf; Pullback; Convolution (computer science); Coherent sheaf; Affine transformation; Generalization; Class (philosophy); Diagonal","score_opus":0.023823568119261174,"score_gpt":0.313756309140357,"score_spread":0.28993274102109584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415234642","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85171497,0.0017729684,0.020438422,0.0023046532,0.0013268513,0.0016097896,0.00001888948,0.0005662355,0.12024725],"genre_scores_gemma":[0.9824962,0.000036999078,0.010107135,0.00020318362,0.00010183457,0.000103344784,0.000004720851,0.00004595355,0.006900601],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983601,0.00007402845,0.00047017622,0.0004126922,0.0003141123,0.00036891713],"domain_scores_gemma":[0.9986575,0.0003898985,0.00015525805,0.0005922736,0.00009050895,0.00011454365],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002663423,0.00031200968,0.0005144308,0.000117846044,0.00017410693,0.00011453649,0.00032211488,0.00019007424,0.0002799146],"category_scores_gemma":[0.00037360316,0.00025285434,0.000106970714,0.0002572174,0.00010765866,0.00013266287,0.0002974292,0.00026970007,0.000036679867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021122392,0.00008565886,0.00027055835,0.00026301443,0.00011938672,0.00000490875,0.00028568556,0.0000011158461,0.00038417423,0.9814787,0.016005581,0.0010800789],"study_design_scores_gemma":[0.001044421,0.000045887246,0.00044736254,0.0002383736,0.0001202659,0.00001812851,0.00014756179,0.00051807193,0.0029577145,0.964136,0.030024134,0.00030204534],"about_ca_topic_score_codex":0.00002933341,"about_ca_topic_score_gemma":0.0000074338727,"teacher_disagreement_score":0.1307813,"about_ca_system_score_codex":0.000007034807,"about_ca_system_score_gemma":0.00005374447,"threshold_uncertainty_score":0.9999924},"labels":[],"label_agreement":null},{"id":"W4415710888","doi":"10.1007/s00220-025-05482-4","title":"Orthogonal Howe Duality and Dynamical (Split) Symmetric Pairs","year":2025,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"National Science Foundation","keywords":"Dynamical systems theory; Duality (order theory); Lie group; Differential operator; Boundary (topology); Lie algebra; Dynamical system (definition); Symmetric group; Group (periodic table)","score_opus":0.05952326076974649,"score_gpt":0.36785297775790865,"score_spread":0.30832971698816214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415710888","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76320326,0.0011772591,0.11549596,0.0048535615,0.00036831567,0.0015642468,0.000032029293,0.00039393225,0.11291142],"genre_scores_gemma":[0.96292704,0.00006745318,0.036585677,0.000112562324,0.00002544237,0.000077517805,0.000008281056,0.000017916984,0.00017811157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856365,0.0002110538,0.00052522717,0.00024464983,0.00021690229,0.00023851416],"domain_scores_gemma":[0.9954426,0.0026118646,0.00010059647,0.0016944556,0.00008371527,0.000066740045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004984172,0.00019094389,0.00040787627,0.000107973305,0.00018083102,0.00005884478,0.0007585379,0.00013452466,0.000018538169],"category_scores_gemma":[0.0009507198,0.00017391006,0.00009332112,0.0007891032,0.00035915058,0.00009865297,0.00080882054,0.00045551825,0.000009173818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058605115,0.00035113102,0.00040402403,0.0001559165,0.000030397623,4.1560557e-7,0.00019961869,0.0000019514146,0.0000058849005,0.9946516,0.00013154808,0.0040616593],"study_design_scores_gemma":[0.00037076982,0.000012604676,0.001348681,0.00012636995,0.000045248184,0.0000018662472,0.0001385765,0.01245461,0.000012034154,0.98517424,0.00015858618,0.000156437],"about_ca_topic_score_codex":0.000005527524,"about_ca_topic_score_gemma":0.000006593567,"teacher_disagreement_score":0.19972375,"about_ca_system_score_codex":0.00009604361,"about_ca_system_score_gemma":0.000066187255,"threshold_uncertainty_score":0.70918465},"labels":[],"label_agreement":null},{"id":"W4415727294","doi":"10.1007/s11005-025-02015-x","title":"Mirror symmetry and level-rank duality for 3d $$\\mathcal {N} = 4$$ rank 0 SCFTs","year":2025,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"University of Washington College of Arts and Sciences; National Research Foundation of Korea; Ministry of Education","keywords":"Duality (order theory); Mirror symmetry; Higgs boson; Operator algebra; Rank (graph theory); Vertex (graph theory); Symmetry (geometry); Action (physics); Coulomb; Operator (biology)","score_opus":0.05576411169528504,"score_gpt":0.33589385468899247,"score_spread":0.2801297429937074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415727294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.635851,0.000049688217,0.35718867,0.0038522359,0.00052819704,0.0010660988,0.000025700845,0.000110961024,0.0013274121],"genre_scores_gemma":[0.8724525,0.0000040935497,0.12426544,0.0026848647,0.00016255295,0.0001611081,0.0000063814887,0.000053435015,0.00020961389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981317,0.000090209905,0.0005921528,0.00042841127,0.00030878128,0.00044876913],"domain_scores_gemma":[0.9975016,0.0017609771,0.0001202381,0.00048391797,0.000053098487,0.000080171485],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004710654,0.00031766514,0.0006763816,0.000074512056,0.00012108604,0.00007534923,0.00027772135,0.00017808832,0.000019179617],"category_scores_gemma":[0.00056834874,0.00027941793,0.00016785812,0.00027790747,0.00018823383,0.000119095945,0.00015527764,0.00031818237,0.0000070484534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054120024,0.00017570799,0.00012831436,0.0011105689,0.00006925525,0.0000036038034,0.00040022013,9.930079e-7,0.00048693738,0.9944145,0.0012825645,0.001873179],"study_design_scores_gemma":[0.0014243994,0.00002497074,0.00033910674,0.000257982,0.000088460765,0.0000027314354,0.000056853318,0.0023634494,0.0006818849,0.9943309,0.00015102045,0.00027822837],"about_ca_topic_score_codex":0.000010125547,"about_ca_topic_score_gemma":0.000002817841,"teacher_disagreement_score":0.23660147,"about_ca_system_score_codex":0.000077978206,"about_ca_system_score_gemma":0.000033266824,"threshold_uncertainty_score":0.9999658},"labels":[],"label_agreement":null},{"id":"W4416050988","doi":"10.48550/arxiv.2508.15346","title":"The Haar State values of monomials and a method to pick orthonormal bases on $O(U_q(3))$","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo; Harbin Institute of Technology","keywords":"Orthonormal basis; Monomial; Haar measure; Haar; State (computer science); Group (periodic table); Algebra over a field; Measure (data warehouse)","score_opus":0.06772069929700066,"score_gpt":0.3636276675322896,"score_spread":0.29590696823528895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416050988","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913477,0.00022469406,0.005033945,0.0005113405,0.0011257841,0.0007689215,0.00006709332,0.000060473558,0.00086010125],"genre_scores_gemma":[0.988143,0.00015135903,0.009148584,0.0002921296,0.00022479708,0.00011697108,0.0000048284433,0.000038470687,0.0018798565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799395,0.0002998736,0.00063376245,0.000511489,0.0002541662,0.00030678397],"domain_scores_gemma":[0.9965738,0.001884595,0.0003655114,0.0009275885,0.00014275628,0.000105738545],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00081107003,0.00036511963,0.00069727626,0.00009876771,0.00017625563,0.0000633562,0.00050049415,0.00020550344,0.00002404342],"category_scores_gemma":[0.00065288885,0.00025668627,0.000191923,0.00010126929,0.000060982704,0.000037834117,0.001026653,0.00042831624,0.000005018675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013588638,0.00034907664,0.052697115,0.0022061218,0.0019420353,0.0000238444,0.008104092,0.0034088553,0.0004418388,0.89094657,0.008464925,0.03005668],"study_design_scores_gemma":[0.00040869106,0.00017042646,0.008667659,0.00033956155,0.00017749595,0.0000016453523,0.00013105909,0.00021262516,0.009612487,0.9781672,0.0017557892,0.00035535728],"about_ca_topic_score_codex":0.00021508682,"about_ca_topic_score_gemma":0.000028165181,"teacher_disagreement_score":0.08722065,"about_ca_system_score_codex":0.00005396987,"about_ca_system_score_gemma":0.00018681207,"threshold_uncertainty_score":0.99998856},"labels":[],"label_agreement":null},{"id":"W4416087167","doi":"10.1007/s00222-025-01385-2","title":"Rotation-invariant web bases from hourglass plabic graphs","year":2025,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hourglass; Diagrammatic reasoning; Basis (linear algebra); Tensor (intrinsic definition); Algebra over a field; Tensor product","score_opus":0.02967436795318516,"score_gpt":0.2976835800791758,"score_spread":0.2680092121259906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416087167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9590249,0.0002470285,0.024113901,0.0011337389,0.0016783735,0.0007299239,0.00004269719,0.0004256363,0.012603766],"genre_scores_gemma":[0.98666215,0.000016737187,0.011211199,0.00023888395,0.00011298592,0.00014824232,0.000023511984,0.00003605295,0.001550233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982108,0.00010821516,0.0006616734,0.00036060082,0.00037714408,0.0002816001],"domain_scores_gemma":[0.9979667,0.0009484379,0.0002447239,0.00062512385,0.00013009814,0.00008493509],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027569802,0.0002709399,0.00044655072,0.00020244266,0.00022095656,0.000119690325,0.00035860288,0.00015060412,0.00089969084],"category_scores_gemma":[0.0006611496,0.00023592023,0.00025840566,0.0004376086,0.00009039293,0.00017034858,0.00011447924,0.00016708307,0.000094103416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016700049,0.00018087878,0.00027182457,0.00017964945,0.00017207269,0.000004856094,0.0002291077,0.0000032165508,0.00026219504,0.99290806,0.0055267285,0.00024471528],"study_design_scores_gemma":[0.00080242654,0.000020955664,0.0003151657,0.0003855761,0.0001809395,0.0000031536995,0.00028093506,0.0014656413,0.0010472765,0.9947265,0.0005438295,0.00022760466],"about_ca_topic_score_codex":0.000041152147,"about_ca_topic_score_gemma":0.000032626776,"teacher_disagreement_score":0.027637219,"about_ca_system_score_codex":0.00005522889,"about_ca_system_score_gemma":0.000112912014,"threshold_uncertainty_score":0.98509836},"labels":[],"label_agreement":null},{"id":"W4416149217","doi":"10.1103/f46t-xp36","title":"Constraining glueball couplings","year":2025,"lang":"en","type":"article","venue":"City Research Online (City University London)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Glueball; Amplitude; Parameter space; Upper and lower bounds; Bound state; Constraint (computer-aided design); Lattice (music)","score_opus":0.14183895172738106,"score_gpt":0.40239240560279366,"score_spread":0.2605534538754126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416149217","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9809882,0.000060914273,0.0024905603,0.0018672742,0.0003350013,0.0004305282,0.00008822643,0.00020572817,0.013533582],"genre_scores_gemma":[0.9876623,0.000091302056,0.002963392,0.00012504013,0.00014284496,9.4940975e-7,0.000034904944,0.000016417645,0.008962832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975487,0.00022425906,0.0002520463,0.0005332635,0.0007343135,0.0007074142],"domain_scores_gemma":[0.9971583,0.0011986848,0.00008111224,0.00059695233,0.0007303451,0.00023460362],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001051109,0.00022017978,0.00040985056,0.00043896917,0.00075254927,0.000087866894,0.00094608805,0.00026707057,0.00023001496],"category_scores_gemma":[0.0012718132,0.00023978503,0.00017610876,0.0011037617,0.00066125544,0.00023453393,0.00082226837,0.0012023714,0.000009093254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020337474,0.00027051804,0.003662294,0.00009635735,0.00011744421,0.0000635791,0.00023392893,0.000006909972,0.00013052867,0.9882514,0.00568703,0.0012766557],"study_design_scores_gemma":[0.0026605455,0.00014225449,0.002395395,0.00020636003,0.000067884714,0.000007322586,0.0017160643,0.001717365,0.0004322193,0.9424593,0.047815796,0.00037949588],"about_ca_topic_score_codex":0.0005112307,"about_ca_topic_score_gemma":0.0004473058,"teacher_disagreement_score":0.045792084,"about_ca_system_score_codex":0.00041487947,"about_ca_system_score_gemma":0.00062686513,"threshold_uncertainty_score":0.977815},"labels":[],"label_agreement":null},{"id":"W4416332390","doi":"10.1007/s00220-025-05488-y","title":"Deformed Double Current Algebras, Matrix Extended $${\\mathcal {W}}_{\\infty }$$ Algebras, Coproducts, and Intertwiners from the M2-M5 Intersection","year":2025,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Krembil Foundation","keywords":"Yangian; Intersection (aeronautics); Algebra over a field; Affine transformation; Algebraic structure; Matrix (chemical analysis); Algebraic number; Construct (python library); Algebraic geometry; Current (fluid)","score_opus":0.05981073581955149,"score_gpt":0.3779628444251013,"score_spread":0.3181521086055498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416332390","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8713389,0.0058605117,0.10073559,0.0080371,0.0020362441,0.0030888915,0.000044406646,0.00051415747,0.008344178],"genre_scores_gemma":[0.9891159,0.0003004517,0.009864958,0.00014520889,0.00015445176,0.00021811463,0.00004295147,0.000039161045,0.00011882836],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978937,0.00023313343,0.0008084309,0.00041947266,0.00029747523,0.0003477859],"domain_scores_gemma":[0.9952129,0.0017924545,0.00022420762,0.0025493402,0.00014107337,0.000080025995],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005090243,0.00034819878,0.0005310369,0.00008348307,0.0003441646,0.00015572828,0.0014370783,0.00014901249,0.00004089696],"category_scores_gemma":[0.00056433,0.00025457705,0.00014907253,0.00058787916,0.00051438936,0.00023990734,0.001203379,0.0008490497,0.000022602952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000502735,0.0003968579,0.00016981032,0.00013232084,0.00008430673,3.202798e-7,0.0018013113,0.0000041531885,0.000044105236,0.9877868,0.0016576846,0.007872013],"study_design_scores_gemma":[0.0010677931,0.000019874771,0.0004510806,0.00046593646,0.00012381322,0.0000031727209,0.00095197704,0.005293678,0.00022538794,0.99021447,0.00093526824,0.00024756987],"about_ca_topic_score_codex":0.00007678896,"about_ca_topic_score_gemma":0.00006172166,"teacher_disagreement_score":0.11777695,"about_ca_system_score_codex":0.00021043257,"about_ca_system_score_gemma":0.000110022265,"threshold_uncertainty_score":0.99999064},"labels":[],"label_agreement":null},{"id":"W4416442687","doi":"10.1016/j.jalgebra.2025.11.012","title":"Whittaker supermodules over the super Schrödinger algebra","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"China Postdoctoral Science Foundation; National Natural Science Foundation of China; Wilfrid Laurier University; China Scholarship Council; Natural Science Foundation of Jilin Province","keywords":"Tensor product; Algebra over a field; Universal enveloping algebra; Casimir element; Extension (predicate logic); Center (category theory); Element (criminal law); Tensor algebra; Context (archaeology)","score_opus":0.019080437603852078,"score_gpt":0.291304696974229,"score_spread":0.2722242593703769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416442687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9887069,0.0011686023,0.00092138007,0.003039781,0.0026796884,0.0001305418,0.00000198499,0.000031584255,0.003319543],"genre_scores_gemma":[0.9958683,0.00007681363,0.0008928864,0.0011183871,0.0007572957,0.0000049486084,4.942232e-7,0.000034678334,0.0012461772],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99787945,0.0001346616,0.0008155157,0.0001966693,0.00061416585,0.00035953597],"domain_scores_gemma":[0.9980999,0.00060696347,0.0003382698,0.0005115225,0.0003372743,0.00010604173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071682263,0.00027034924,0.00050896907,0.00020047673,0.0002328507,0.00016302132,0.0007426269,0.0001807753,0.0005321928],"category_scores_gemma":[0.000574411,0.00015947684,0.00041913183,0.0003838739,0.0001325077,0.0003254379,0.00015503365,0.00062344084,0.0000115905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068580564,0.00007996133,0.0010327091,0.000037294896,0.00031517868,0.000017805049,0.00048138923,0.00000654837,0.0003195739,0.95567375,0.040622793,0.0013443977],"study_design_scores_gemma":[0.0010461619,0.00008887684,0.0067429086,0.0001508908,0.00019999738,0.00007420734,0.00031555042,0.000051029183,0.0013319289,0.9745448,0.015263082,0.00019055091],"about_ca_topic_score_codex":0.000009537599,"about_ca_topic_score_gemma":0.0000051713755,"teacher_disagreement_score":0.02535971,"about_ca_system_score_codex":0.00009093347,"about_ca_system_score_gemma":0.00021179207,"threshold_uncertainty_score":0.6503277},"labels":[],"label_agreement":null},{"id":"W4416665751","doi":"10.48550/arxiv.2511.16910","title":"Realizing orders in rational sphere product algebras with three generators","year":2025,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Science and ICT, South Korea; Division of Mathematical Sciences; National Research Foundation of Korea; National Research Foundation","keywords":"Algebra over a field; Subring; Order (exchange); Context (archaeology); Realization (probability); Cohomology; Product (mathematics); Exterior algebra","score_opus":0.06594917959777383,"score_gpt":0.20281849530096718,"score_spread":0.13686931570319336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416665751","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9524679,0.00024907308,0.03624237,0.00016944417,0.0014554397,0.0017859886,0.000044236785,0.0001449413,0.0074405754],"genre_scores_gemma":[0.99540704,0.00021887808,0.001710833,0.00008374411,0.00035708272,0.0000079255815,0.000050952956,0.00007369409,0.0020898613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954556,0.00030316928,0.0007551853,0.0023143617,0.0003299408,0.00084172527],"domain_scores_gemma":[0.9964673,0.00030561164,0.0007023391,0.0017716702,0.0005009209,0.00025214057],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042823315,0.0010317147,0.0011452268,0.00045299344,0.0004159818,0.00016349593,0.0013140052,0.00068167184,0.0005338495],"category_scores_gemma":[0.00016773275,0.0010942563,0.000335357,0.0017187702,0.00034256987,0.00038069196,0.0010778304,0.0014665908,0.0000229369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004294171,0.00021162062,0.011211849,0.00040366573,0.00046170384,0.00020976817,0.00034022809,0.1576768,0.0000074551094,0.8285542,0.00025325868,0.0002400401],"study_design_scores_gemma":[0.0027791734,0.00013958591,0.0011422551,0.0009251818,0.0005555887,0.000008954616,0.0007391464,0.032289598,0.00024299658,0.95939165,0.00046073762,0.0013251286],"about_ca_topic_score_codex":0.001252814,"about_ca_topic_score_gemma":0.004292644,"teacher_disagreement_score":0.13083746,"about_ca_system_score_codex":0.0008300727,"about_ca_system_score_gemma":0.0020151641,"threshold_uncertainty_score":0.99915075},"labels":[],"label_agreement":null},{"id":"W4416776538","doi":"10.4153/s0008414x25101867","title":"Three perspectives on categorical symmetric Howe duality","year":2025,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; University of Waterloo; Government of Canada; Ministry of Colleges and Universities","keywords":"Quiver; Categorical variable; Functor; Duality (order theory); Diagrammatic reasoning; Invariant (physics); Seiberg duality; Algebra over a field","score_opus":0.037332299926022335,"score_gpt":0.2941781555719099,"score_spread":0.2568458556458876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416776538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9334063,0.0014821786,0.03835412,0.0024164661,0.002468202,0.00036958692,0.000012754633,0.000032667103,0.02145774],"genre_scores_gemma":[0.9944905,0.000013395945,0.0049258913,0.000101018864,0.00020852839,0.0000022584777,2.4645135e-7,0.000020866815,0.00023728955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99860823,0.000042186824,0.000578691,0.00014309514,0.00031653597,0.00031124213],"domain_scores_gemma":[0.99792916,0.0006618917,0.00033150834,0.00036763024,0.00035393285,0.0003559049],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005764222,0.00019191492,0.00047008053,0.0005796567,0.00015960707,0.00008712924,0.00044496814,0.00014260875,0.00010664301],"category_scores_gemma":[0.0022408022,0.00015158893,0.00021133275,0.00056819257,0.00009315607,0.00007158339,0.000020753734,0.0004130106,0.00000811324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000061210385,0.00007141297,0.00016306907,0.00007866857,0.00011221164,0.000047351055,0.0016117222,0.0000063152665,0.0000020172708,0.99041796,0.0070588393,0.0004243432],"study_design_scores_gemma":[0.00040126138,0.000110896864,0.00040371603,0.00011267573,0.00009800456,0.0000606819,0.0029859531,0.000109598164,0.00006431958,0.99480927,0.0007067609,0.00013683438],"about_ca_topic_score_codex":0.000353678,"about_ca_topic_score_gemma":0.0015036848,"teacher_disagreement_score":0.061084222,"about_ca_system_score_codex":0.00041220096,"about_ca_system_score_gemma":0.0010032769,"threshold_uncertainty_score":0.6181617},"labels":[],"label_agreement":null},{"id":"W4416872785","doi":"10.48550/arxiv.2507.00349","title":"$(d,σ)$-twisted Affine-Virasoro superalgebras","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Lie superalgebra; Simple Lie group; Simple (philosophy); Automorphism; Class (philosophy); Extension (predicate logic); Adjoint representation; Lie algebra; Representation of a Lie group","score_opus":0.08388796754405131,"score_gpt":0.33221551676837785,"score_spread":0.24832754922432654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416872785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98056465,0.00050917576,0.0005012686,0.0005329739,0.0054965755,0.000744829,0.000057211055,0.00051021104,0.011083113],"genre_scores_gemma":[0.98613155,0.00008753841,0.0009036392,0.00046818043,0.0010702197,0.00013789067,0.00009263152,0.00008498498,0.011023344],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99696803,0.00015349544,0.0008088089,0.0009917974,0.00047720104,0.00060068414],"domain_scores_gemma":[0.9970972,0.00043162255,0.0003091812,0.0017637009,0.0002323891,0.00016592957],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00025891684,0.00072662934,0.0010090042,0.0001883692,0.00018169727,0.000105167695,0.0011439965,0.00091965793,0.00068196206],"category_scores_gemma":[0.00049872114,0.00067975273,0.00050016755,0.0002621749,0.000083747545,0.00008711907,0.0016677422,0.0013351328,0.000107830114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007310155,0.00020686297,0.042021368,0.0010813855,0.0005651538,0.000038243517,0.00081044965,0.00003354586,0.00013460052,0.94349325,0.010873705,0.0006683087],"study_design_scores_gemma":[0.00075920514,0.000046503807,0.0073283734,0.00046415074,0.00028194627,0.0000051031,0.00006585643,0.00008721438,0.0010408247,0.98471487,0.004431046,0.0007748883],"about_ca_topic_score_codex":0.00018963082,"about_ca_topic_score_gemma":0.00004153014,"teacher_disagreement_score":0.041221615,"about_ca_system_score_codex":0.00020442711,"about_ca_system_score_gemma":0.00036807198,"threshold_uncertainty_score":0.99956536},"labels":[],"label_agreement":null},{"id":"W4416917011","doi":"10.1007/s00023-025-01650-3","title":"MPS Stability and the Intersection Property","year":2025,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"HORIZON EUROPE European Innovation Council; Ministry of Colleges and Universities; Institut Périmètre de physique théorique; Austrian Science Fund; European Commission; Government of Canada","keywords":"Intersection (aeronautics); Bounded function; Property (philosophy); Domain (mathematical analysis); Superposition principle; Local property; Degeneracy (biology); Stability (learning theory)","score_opus":0.028445004769007326,"score_gpt":0.28373131841174903,"score_spread":0.2552863136427417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416917011","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9774707,0.00044768705,0.0011629271,0.0026696865,0.00059939676,0.00043023596,0.000001777638,0.00007723805,0.017140329],"genre_scores_gemma":[0.9982328,0.000029260482,0.000135901,0.00036354383,0.000076691875,0.00002863842,8.4101083e-7,0.000007701201,0.0011246388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992168,0.00013166289,0.00019910524,0.00019258517,0.00011737259,0.00014245162],"domain_scores_gemma":[0.9992328,0.00030356398,0.00005135063,0.0003091563,0.000074493866,0.000028620985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039492463,0.00011368439,0.00018953705,0.000023217084,0.00016967066,0.00004920065,0.00013928546,0.000061548395,0.00004333338],"category_scores_gemma":[0.00028612945,0.000054865235,0.00007738741,0.00011214584,0.00020251865,0.00006832518,0.00012529959,0.00015494229,0.0000027632254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018496742,0.000025108262,0.00048607905,0.00007534294,0.000055063112,6.1665764e-7,0.0011851891,2.2862433e-7,0.00003648879,0.9908976,0.0031042316,0.003949066],"study_design_scores_gemma":[0.00081379974,0.000026985264,0.0007284951,0.000032766628,0.00003731607,0.0000042288602,0.00051283964,0.00033439777,0.0005033795,0.9927299,0.0041989866,0.00007691546],"about_ca_topic_score_codex":0.000119166645,"about_ca_topic_score_gemma":0.000065432614,"teacher_disagreement_score":0.020762062,"about_ca_system_score_codex":0.000033511562,"about_ca_system_score_gemma":0.000045730852,"threshold_uncertainty_score":0.22373393},"labels":[],"label_agreement":null},{"id":"W4417275471","doi":"10.1007/s00029-025-01109-7","title":"Combinatorial proofs of the type A quiver component formulas","year":2025,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; University of Toronto","funders":"","keywords":"Quiver; Mathematical proof; Component (thermodynamics); Locus (genetics); Type (biology); Combinatorial proof","score_opus":0.01885435616280878,"score_gpt":0.28818182197982495,"score_spread":0.26932746581701617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417275471","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96197814,0.000113825954,0.0010276794,0.0004973881,0.0028165185,0.0012233051,0.0000036180777,0.00011601746,0.032223534],"genre_scores_gemma":[0.9980499,0.000002678503,0.0009914525,0.000057389167,0.00006515518,0.00002446161,8.2108795e-7,0.000021629836,0.0007864709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863404,0.000077391036,0.0004561907,0.00020024735,0.00036944688,0.00026267354],"domain_scores_gemma":[0.9985194,0.00038808078,0.00020748367,0.0006406893,0.00020591296,0.00003838733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022928262,0.00019270982,0.00040910894,0.00006133078,0.00013935026,0.000026165008,0.00054556684,0.00012038827,0.00010843634],"category_scores_gemma":[0.00057344546,0.00012355576,0.00016002945,0.0005258349,0.00009749271,0.000052550065,0.00021974104,0.00019482237,0.000008547822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046536046,0.00017049682,0.000079400736,0.00030484173,0.00009994308,3.354392e-7,0.00046368054,6.694278e-7,0.00055351714,0.9950687,0.003120633,0.00009120182],"study_design_scores_gemma":[0.00068715215,0.000064674874,0.00013332166,0.0001844899,0.00010235653,0.0000030995282,0.000044311844,0.00027527098,0.00933163,0.9883286,0.0007234871,0.00012160203],"about_ca_topic_score_codex":0.0000082627075,"about_ca_topic_score_gemma":0.0000024654437,"teacher_disagreement_score":0.036071826,"about_ca_system_score_codex":0.00006498766,"about_ca_system_score_gemma":0.00017396416,"threshold_uncertainty_score":0.50384575},"labels":[],"label_agreement":null},{"id":"W4417339713","doi":"10.1007/s10801-025-01479-3","title":"Quiver semi-invariants and SAGBI bases","year":2025,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust","keywords":"Quiver; Kronecker delta; Ring (chemistry); Dimension (graph theory); Basis (linear algebra); Moduli space; Flag (linear algebra); Young tableau; Series (stratigraphy)","score_opus":0.01653825693022957,"score_gpt":0.2995624105191418,"score_spread":0.2830241535889122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417339713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9873653,0.0017468937,0.00215189,0.0009902653,0.0040218164,0.00017883643,0.0000024443445,0.00004146061,0.003501071],"genre_scores_gemma":[0.9977542,0.00023780744,0.0005487157,0.0003074321,0.00017084746,0.0000024044123,3.8840216e-7,0.000025331476,0.0009528608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980968,0.000112683905,0.0007772987,0.00021364348,0.00049361587,0.00030590684],"domain_scores_gemma":[0.99770004,0.0008575578,0.00052549125,0.00033200573,0.00041014535,0.00017475135],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005918054,0.00026335233,0.00061248697,0.0003071101,0.00016631097,0.000095744515,0.00040429263,0.00018772318,0.00007119051],"category_scores_gemma":[0.0010300222,0.00021956043,0.00018947454,0.0005020564,0.00009333156,0.0002665202,0.00019208566,0.00046664165,0.0000021770818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006463835,0.00015296647,0.0029780606,0.000101027865,0.00018220459,0.00004383855,0.00020650112,0.000001583764,0.000074586824,0.9853727,0.009867137,0.00095474615],"study_design_scores_gemma":[0.0018179498,0.00021096213,0.0032325287,0.00019479246,0.0001841397,0.00009898104,0.00015078211,0.000050992123,0.00054459873,0.98974764,0.0035655252,0.00020110041],"about_ca_topic_score_codex":0.000010793256,"about_ca_topic_score_gemma":0.0000027399858,"teacher_disagreement_score":0.01038889,"about_ca_system_score_codex":0.00010501334,"about_ca_system_score_gemma":0.0002673814,"threshold_uncertainty_score":0.89534146},"labels":[],"label_agreement":null},{"id":"W4417512547","doi":"10.1007/jhep12(2025)146","title":"Boundary Carroll CFTs: SUSY and superstrings","year":2025,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Board of Research in Nuclear Sciences; Science and Engineering Research Board; Indian Institute of Technology (BHU) Varanasi; Tata Institute of Fundamental Research; Indian Institute of Technology Kanpur; University of Southampton; Trinity College Dublin; New York University Abu Dhabi; York University; Arthritis National Research Foundation","keywords":"Worldsheet; Superstring theory; Null (SQL); Supersymmetry; Homogeneous space; Supercharge; Boundary (topology); Homogeneous","score_opus":0.010734383401551603,"score_gpt":0.2486899164684817,"score_spread":0.2379555330669301,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417512547","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9859367,0.0007210251,0.010656839,0.00033978993,0.0012803517,0.000026360902,0.0000018539299,0.000015081228,0.0010219724],"genre_scores_gemma":[0.99786776,0.00010559783,0.0008799496,0.00018835466,0.0004687664,9.2731926e-7,5.3185477e-7,0.000013896981,0.00047421257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999179,0.00003154385,0.00031865895,0.00010013557,0.0002232956,0.00014738266],"domain_scores_gemma":[0.9992595,0.00016342851,0.0001990947,0.0001535049,0.00016210336,0.000062376144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010021713,0.00013184985,0.0003322279,0.00005730909,0.00009609948,0.000058124075,0.00016815106,0.00007298223,0.000008118761],"category_scores_gemma":[0.000045934863,0.000105645195,0.000114224844,0.00014351969,0.000060862458,0.00015696847,0.00006813265,0.00017608408,1.8272387e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005441034,0.00003680512,0.00009223121,0.000025569712,0.00012236896,0.000009589159,0.000103097205,0.000019259578,0.00010727264,0.9954936,0.0021384165,0.0017973628],"study_design_scores_gemma":[0.000758331,0.000100533776,0.00014661805,0.000062849016,0.00009147012,0.00001732532,0.0000669912,0.000022692531,0.0026001711,0.9928893,0.003149294,0.000094449286],"about_ca_topic_score_codex":0.00005040898,"about_ca_topic_score_gemma":0.0000030206852,"teacher_disagreement_score":0.0119310375,"about_ca_system_score_codex":0.00005488248,"about_ca_system_score_gemma":0.00013215677,"threshold_uncertainty_score":0.4308086},"labels":[],"label_agreement":null},{"id":"W644550018","doi":"10.1016/j.laa.2016.01.009","title":"Classification of irreducible bounded weight modules over the derivation Lie algebras of quantum tori","year":2016,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Science Foundation of Ningbo; Henan University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Wilfrid Laurier University","keywords":"Mathematics; Torus; Integer (computer science); Bounded function; Quotient; Lie algebra; Irreducible representation; Pure mathematics; Algebra over a field; Combinatorics; Geometry; Mathematical analysis","score_opus":0.03459567615722544,"score_gpt":0.2926212110970637,"score_spread":0.25802553493983826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W644550018","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9657602,0.0003564721,0.031698976,0.0010429354,0.00014137517,0.0005961845,0.000030142439,0.00004338015,0.00033038153],"genre_scores_gemma":[0.9982623,0.00019917171,0.00093938626,0.000029784725,0.0002199912,0.00014164878,0.000009146846,0.000022446344,0.00017612315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885625,0.00004082893,0.00046025397,0.00025329427,0.0002389722,0.00015038163],"domain_scores_gemma":[0.9984621,0.0004098421,0.00034893118,0.00052509346,0.00020060681,0.000053459644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001711493,0.0001433516,0.00022624269,0.000060206556,0.00014669787,0.000014780022,0.0002451292,0.000112661044,0.00007478857],"category_scores_gemma":[0.00013373613,0.000084460415,0.000073104704,0.00024670712,0.00013370242,0.00013719113,0.00006180037,0.00007124862,0.000006040703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012856523,0.00007276444,0.000245604,0.000048617865,0.0000373006,2.0643693e-8,0.00015588349,3.8478106e-7,0.018449126,0.9782527,0.0003118796,0.0024128442],"study_design_scores_gemma":[0.0003868074,0.000041802774,0.009174886,0.000036229263,0.00005995888,0.0000015088666,0.00006318906,0.00087768736,0.019199124,0.9664888,0.0035497912,0.00012024334],"about_ca_topic_score_codex":0.000011662264,"about_ca_topic_score_gemma":0.0000031554553,"teacher_disagreement_score":0.03250215,"about_ca_system_score_codex":0.000021238404,"about_ca_system_score_gemma":0.000047597594,"threshold_uncertainty_score":0.34441957},"labels":[],"label_agreement":null},{"id":"W654252356","doi":"","title":"Quantum affine algebras, extended affine Lie algebras, and their applications : Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, March 2-7, 2008, Banff International Research Station, Banff, Canada","year":2010,"lang":"en","type":"book","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Affine representation; Quantum affine algebra; Affine transformation; Affine Lie algebra; Mathematics; Pure mathematics; Affine coordinate system; Affine geometry; Affine group; Affine combination; Affine hull; Lie algebra; Algebra over a field; Affine space; Current algebra; Algebra representation","score_opus":0.027702925863685824,"score_gpt":0.3000506886067744,"score_spread":0.2723477627430886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W654252356","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08417889,0.09637561,0.13804412,0.07958395,0.024427237,0.10916634,0.030815931,0.010611265,0.42679667],"genre_scores_gemma":[0.248317,0.01576642,0.018276565,0.0025746517,0.020475307,0.014826952,0.02349412,0.0032549575,0.653014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.98468035,0.000658,0.0037471692,0.004278064,0.0038676057,0.002768785],"domain_scores_gemma":[0.9846438,0.0045789066,0.0018245591,0.0041231466,0.0031849593,0.0016446125],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.002787541,0.0029780355,0.0031239733,0.0018415822,0.001973099,0.001072155,0.0037034405,0.0023855043,0.006426572],"category_scores_gemma":[0.0010937147,0.0027343086,0.0005362231,0.0015522004,0.0015741538,0.00079705723,0.0023362949,0.005079271,0.00011563445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029374412,0.00060395576,0.00003069572,0.0006215184,0.0008747452,0.000031799664,0.00023167428,0.0000034807022,0.00051560026,0.75907296,0.21448249,0.023237366],"study_design_scores_gemma":[0.002621617,0.00027876557,0.0004482526,0.00025661854,0.00029730974,0.00017137566,0.00043707085,0.000712484,0.00039050984,0.6349657,0.35740685,0.0020134],"about_ca_topic_score_codex":0.019589467,"about_ca_topic_score_gemma":0.11282273,"teacher_disagreement_score":0.22621736,"about_ca_system_score_codex":0.0017126725,"about_ca_system_score_gemma":0.0061922786,"threshold_uncertainty_score":0.99996483},"labels":[],"label_agreement":null},{"id":"W6904677922","doi":"10.14288/1.0115519","title":"[Meeting minutes of the Senate of The University of British Columbia]","year":2015,"lang":"en","type":"article","venue":"Open Collections","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Government (linguistics); Work (physics); Agency (philosophy); Legislation","score_opus":0.0322715152990058,"score_gpt":0.23407031426904568,"score_spread":0.20179879897003988,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6904677922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89498526,0.00003504568,0.000038547852,0.00010171076,0.0006622276,0.0005817034,0.00010143527,0.000008125236,0.10348592],"genre_scores_gemma":[0.89778507,0.0000025829777,0.00036215413,0.000005282391,0.000011953129,0.0000010847597,1.3233668e-7,0.000004993213,0.101826765],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995172,0.00007878204,0.00013153508,0.00007048613,0.00014122992,0.00006078443],"domain_scores_gemma":[0.9992629,0.00008844603,0.00019026232,0.00023891548,0.0001994983,0.000019948044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014954108,0.00003108206,0.00013909518,0.0000052913856,0.0004105645,0.000043375934,0.0004466245,0.00003766654,0.000075304575],"category_scores_gemma":[0.00019849757,0.000031637002,0.00007516123,0.00046990655,0.000105145096,0.000041290623,0.0003400068,0.000060227263,1.05033926e-7],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023056933,0.00020020598,0.0014645889,0.000061757775,0.00013010873,5.836908e-7,0.0013942184,0.000101753394,0.00021978188,0.007974716,0.9882731,0.00015613064],"study_design_scores_gemma":[0.0013524488,0.00006692213,0.0018819118,0.00030791722,0.0001445708,0.00001684166,0.004235121,0.00020190365,0.0021018204,0.98216903,0.0074053714,0.00011612234],"about_ca_topic_score_codex":0.1310764,"about_ca_topic_score_gemma":0.09179021,"teacher_disagreement_score":0.98086774,"about_ca_system_score_codex":0.00003044575,"about_ca_system_score_gemma":0.00019056757,"threshold_uncertainty_score":0.9247823},"labels":[],"label_agreement":null},{"id":"W6908722095","doi":"10.3204/pubdb-2018-05006","title":"Calogero-Sutherland approach to defect blocks","year":2018,"lang":"en","type":"article","venue":"DESY Publication Database (PUBDB) (Deutsches Elektronen-Synchrotron)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Koshland Foundation","keywords":"Conformal map; Integrable system; Scalar (mathematics); Euclidean geometry; Hypergeometric function; Real line; Inversion (geology); Differential geometry","score_opus":0.04516492072365598,"score_gpt":0.2997625788734176,"score_spread":0.25459765814976165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6908722095","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90820277,0.00023952078,0.07236219,0.0010684243,0.0008434205,0.0038224086,0.00036776523,0.00090190803,0.01219158],"genre_scores_gemma":[0.97315216,0.000009213733,0.021300007,0.0007171382,0.0015932579,0.0011723102,0.00078012055,0.00016979387,0.0011059983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99467975,0.0003551185,0.0010568205,0.001581221,0.001079908,0.0012471634],"domain_scores_gemma":[0.99462736,0.00036766156,0.00048232762,0.0029502744,0.0008573577,0.0007150284],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013465545,0.00077199325,0.00084793544,0.0005074603,0.0006307481,0.00046119947,0.0014985595,0.00032342537,0.0006854058],"category_scores_gemma":[0.0013351324,0.0007015359,0.00030253813,0.0012090674,0.0002696796,0.0009829154,0.0006529974,0.0005678912,0.00048692393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004869479,0.0031354125,0.0046267295,0.00021755783,0.00090474,0.000009190343,0.0026728148,0.000015011279,0.005284849,0.82828736,0.14762619,0.0067332042],"study_design_scores_gemma":[0.017629743,0.004545541,0.012349296,0.00034094602,0.0022629392,0.000422811,0.0031063266,0.007447329,0.028470598,0.30378503,0.6109459,0.008693583],"about_ca_topic_score_codex":0.00026657825,"about_ca_topic_score_gemma":0.00013523518,"teacher_disagreement_score":0.52450234,"about_ca_system_score_codex":0.0003356393,"about_ca_system_score_gemma":0.0002742375,"threshold_uncertainty_score":0.9995436},"labels":[],"label_agreement":null},{"id":"W6929297335","doi":"10.48550/arxiv.1007.0937","title":"Unitary irreducible representations of SL(2,C) in discrete and continuous SU(1,1) bases","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Unitary state; Basis (linear algebra); Completeness (order theory); Irreducible representation; Algebra over a field; Matrix (chemical analysis); Unitary matrix; State (computer science)","score_opus":0.07555067315909464,"score_gpt":0.23664143335891438,"score_spread":0.16109076019981974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6929297335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9953063,0.000061560844,0.0014664821,0.000049551305,0.0005234872,0.0003559246,0.00004492993,0.000046051675,0.0021456932],"genre_scores_gemma":[0.9983727,0.000098019664,0.0005296473,0.000011656784,0.000059334794,0.000001548346,0.00002170403,0.000025698284,0.0008797464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987213,0.000104933875,0.0002877476,0.0005902185,0.0000801121,0.00021567463],"domain_scores_gemma":[0.9983351,0.0003760467,0.00027990705,0.0007930308,0.000117117386,0.000098793826],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00016596878,0.00024318845,0.00048071172,0.0002371133,0.00006408146,0.000027990987,0.00038285923,0.00033096594,0.00006548492],"category_scores_gemma":[0.00020552953,0.0002639388,0.00012639345,0.00025911786,0.00020504674,0.000116944015,0.0006785872,0.0006345214,8.8165007e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007102727,0.00008160774,0.008206644,0.00019105822,0.00007953065,0.000074962496,0.00040764856,0.0021585403,0.00007571073,0.9884245,0.00016416151,0.000064642976],"study_design_scores_gemma":[0.00068152644,0.000036756093,0.0021848867,0.00013618592,0.00014112172,0.00000395152,0.0006373356,0.0040832674,0.00027760732,0.9914961,0.000042333188,0.00027892535],"about_ca_topic_score_codex":0.0014983366,"about_ca_topic_score_gemma":0.0003045985,"teacher_disagreement_score":0.0060217576,"about_ca_system_score_codex":0.000043245807,"about_ca_system_score_gemma":0.00010448426,"threshold_uncertainty_score":0.9999813},"labels":[],"label_agreement":null},{"id":"W6931521598","doi":"10.5281/zenodo.6252906","title":"Necrobia rufipes DeGeer 1775","year":2006,"lang":"en","type":"article","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Nova scotia; Predator; Predation; Fauna; PEST analysis; Larva","score_opus":0.03570686189894895,"score_gpt":0.25332612859992454,"score_spread":0.2176192667009756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6931521598","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64416033,0.00015079202,0.007642335,0.0010055593,0.0006377734,0.0007996018,0.00009063886,0.00246499,0.34304798],"genre_scores_gemma":[0.99566925,0.000007439703,0.00057551236,0.000067516106,0.00034427305,3.003349e-8,0.00024198166,0.001078403,0.0020155925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986186,0.00014817477,0.00025144365,0.00030754606,0.00033316854,0.00034107215],"domain_scores_gemma":[0.9990217,0.00003804787,0.00009761233,0.00042832093,0.0003197225,0.00009459458],"candidate_categories":["sts","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003103538,0.00014755351,0.00015955674,0.000110334935,0.0013628622,0.00051153154,0.0006965869,0.00007947078,0.009205556],"category_scores_gemma":[0.00032408917,0.00014371902,0.00006651711,0.00030840695,0.0000976618,0.00016238244,0.0005627102,0.00019706952,0.0018855592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025750966,0.000093798015,0.0000028712493,0.00003983616,0.000023197603,0.0000072407684,0.00032168344,0.000021925704,0.0010261649,0.79570854,0.19543266,0.007296334],"study_design_scores_gemma":[0.00043048448,0.00007047296,0.0002201259,0.00001657647,0.000016672297,0.000049182407,0.00006473371,0.0000662318,0.00067992334,0.33028835,0.66792095,0.00017626071],"about_ca_topic_score_codex":0.00003187711,"about_ca_topic_score_gemma":4.9993105e-7,"teacher_disagreement_score":0.4724883,"about_ca_system_score_codex":0.00009027065,"about_ca_system_score_gemma":0.0000027030771,"threshold_uncertainty_score":0.99993724},"labels":[],"label_agreement":null},{"id":"W6931817216","doi":"10.5683/sp3/eog30q","title":"Burns Lake (West) British Columbia. 1:50,000. Map Sheet 093K04, ed. 1, 1960","year":2022,"lang":"en","type":"dataset","venue":"Borealis","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Georeference; General partnership; Natural (archaeology); Raster graphics; Topographic map (neuroanatomy); Aerial photography; Government (linguistics); Geographic information system","score_opus":0.01737795300281329,"score_gpt":0.26059564005039654,"score_spread":0.24321768704758326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6931817216","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00016500565,0.0004986908,0.000013313517,0.00008790019,0.0027680837,0.0007563021,0.9945918,0.00020879248,0.0009101591],"genre_scores_gemma":[0.000041927648,0.00048448658,0.000203794,0.00048663525,0.0014965113,0.00033083386,0.99477667,0.00014599338,0.0020331687],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9959897,0.0002122813,0.00086548424,0.00093663763,0.0011885082,0.00080739945],"domain_scores_gemma":[0.99674237,0.00033416657,0.00056632457,0.0019120119,0.00013965815,0.00030548684],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00038465488,0.00054149126,0.0011164552,0.00009430039,0.00051533716,0.0008627696,0.0015520481,0.00072659727,0.09935274],"category_scores_gemma":[0.00034526092,0.0008117627,0.00043539304,0.0002143851,0.00017354269,0.00011717935,0.0008239953,0.0011482079,0.000022800292],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015389043,0.00019328283,0.000012057297,0.0003617291,0.00019577083,0.00024357258,0.00004297741,0.0000026767505,8.4966686e-8,0.0054411027,0.9932286,0.0002627645],"study_design_scores_gemma":[0.00051393325,0.00012063033,0.000085094376,0.00009975065,0.0002710116,0.00010066128,0.00004012472,0.000001262922,2.0375758e-7,0.26287004,0.73524827,0.0006490016],"about_ca_topic_score_codex":0.32387856,"about_ca_topic_score_gemma":0.590445,"teacher_disagreement_score":0.26656643,"about_ca_system_score_codex":0.00020056417,"about_ca_system_score_gemma":0.00025797088,"threshold_uncertainty_score":0.99943334},"labels":[],"label_agreement":null},{"id":"W6932225692","doi":"10.5281/zenodo.8356884","title":"slimgroup/JUDI.jl: v3.3.8","year":2023,"lang":"en","type":"other","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Field (mathematics); Work (physics); Natural (archaeology); Component (thermodynamics)","score_opus":0.060189719507117316,"score_gpt":0.2826904189505382,"score_spread":0.22250069944342088,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6932225692","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00023292322,0.00018532982,0.0011368549,0.00029930437,0.0012795067,0.0008756936,0.0002700632,0.020482555,0.9752378],"genre_scores_gemma":[0.029403327,0.0007109233,0.00091793766,0.00023784518,0.0037665279,3.3796135e-7,0.0012475802,0.19661841,0.7670971],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99788123,0.00021998466,0.00030058142,0.00056169817,0.00056711753,0.00046935855],"domain_scores_gemma":[0.9984906,0.00005932627,0.00023802044,0.0008295625,0.00020130059,0.00018124394],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00039069323,0.0003045793,0.0003537512,0.0003466443,0.0008646421,0.00044309263,0.001270771,0.00029004278,0.023923364],"category_scores_gemma":[0.0008423307,0.000305806,0.00012202087,0.00049623835,0.00012591112,0.000072776245,0.0012512738,0.00044111136,0.020434193],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010896474,0.000036644946,1.4180762e-7,0.00009879235,0.00008794263,0.0000128197435,0.00018423189,6.435437e-7,0.000009380421,0.23245531,0.7590945,0.008008705],"study_design_scores_gemma":[0.00037615997,0.00009023917,0.000007967679,0.00012065431,0.000038182803,0.00002571386,0.00008232856,0.000014867338,0.000014791888,0.0856047,0.9133252,0.00029917972],"about_ca_topic_score_codex":0.00004803449,"about_ca_topic_score_gemma":0.0000022516763,"teacher_disagreement_score":0.20814066,"about_ca_system_score_codex":0.00014766365,"about_ca_system_score_gemma":0.0000046851765,"threshold_uncertainty_score":0.9999394},"labels":[],"label_agreement":null},{"id":"W6977117112","doi":"10.6084/m9.figshare.8071496.v1","title":"Tables and appendices from Four-dimensional Fano quiver flag zero loci","year":2019,"lang":"en","type":"article","venue":"Figshare","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Imperial College London","keywords":"Quiver; Zero (linguistics); Flag (linear algebra); Fano plane; Computation","score_opus":0.04212022625973305,"score_gpt":0.26039949522479905,"score_spread":0.218279268965066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6977117112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9379401,0.00081493857,0.0000053947774,0.00008806859,0.00036369328,0.0004660158,0.056876156,0.00012936626,0.0033162588],"genre_scores_gemma":[0.98621583,0.0000014056125,0.00048635303,0.00015266506,0.00017123306,0.000021251235,0.01207774,0.000028463499,0.00084508315],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912775,0.00002186298,0.00014298523,0.00026409095,0.00025132037,0.00019197605],"domain_scores_gemma":[0.9992226,0.0003074529,0.000094725845,0.00024740363,0.00005216734,0.000075659744],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000023471808,0.00015521368,0.000214055,0.000025859494,0.0000688688,0.00005832015,0.00016412642,0.00012464376,0.20575707],"category_scores_gemma":[0.00016835397,0.00012932837,0.000054062453,0.00004732064,0.000006573611,0.00013410032,0.00019300552,0.0001172582,0.0011248573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056603854,0.000046996614,0.00053545425,0.00034030233,0.00016224188,0.000026905745,0.0006321024,0.000023050365,0.000420141,0.07705243,0.91951287,0.0011909198],"study_design_scores_gemma":[0.0007649869,0.00004713818,0.0012972357,0.00051797385,0.00002494635,0.000007602081,0.00005817358,0.00036570046,0.0008239595,0.9509195,0.044850465,0.00032229745],"about_ca_topic_score_codex":0.000037423066,"about_ca_topic_score_gemma":0.0000090267495,"teacher_disagreement_score":0.8746624,"about_ca_system_score_codex":0.000017038947,"about_ca_system_score_gemma":0.000037565213,"threshold_uncertainty_score":0.99965286},"labels":[],"label_agreement":null},{"id":"W6982239302","doi":"","title":"Homological algebra in subcategories:Nakayama functors, rank functions and differential modules","year":2025,"lang":"en","type":"dissertation","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Homological algebra; Bijection; Rank (graph theory); Abelian group; Injective function; Abelian category; Noetherian ring; Algebra over a field; Projective module; Differential (mechanical device)","score_opus":0.021205605434366493,"score_gpt":0.2743683968471613,"score_spread":0.2531627914127948,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6982239302","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9739953,0.0004896377,0.00065967307,0.000071155235,0.0035396628,0.00049827195,0.0000148777335,0.00015228256,0.020579116],"genre_scores_gemma":[0.9594517,0.00013423397,0.00014702922,0.00002293767,0.0002415172,0.00011379341,0.0005183942,0.000037831658,0.039332576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809986,0.00008815323,0.0005653479,0.0005913646,0.00030418122,0.00035108498],"domain_scores_gemma":[0.99889493,0.00037461624,0.00015573796,0.00038162616,0.000103051905,0.00009003187],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000098250646,0.00047591978,0.00075009547,0.00026678698,0.00015396025,0.0001092039,0.00023309398,0.0007791416,0.0007547225],"category_scores_gemma":[0.00022870892,0.00037612417,0.00017090073,0.00025481987,0.000046742174,0.00007880312,0.00007929572,0.0005739497,0.000006225331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019784171,0.00010609351,0.00037661832,0.0002698264,0.000101569414,0.000007553217,0.00030937418,5.6881606e-7,0.000030660136,0.9939965,0.0012762332,0.003327176],"study_design_scores_gemma":[0.0009555889,0.00007893394,0.012579194,0.00008653051,0.00017139774,0.0000030517183,0.0010558506,0.00006077219,0.00010248552,0.98415154,0.00033530538,0.00041936274],"about_ca_topic_score_codex":0.00017250585,"about_ca_topic_score_gemma":0.0010000253,"teacher_disagreement_score":0.018753458,"about_ca_system_score_codex":0.000066902896,"about_ca_system_score_gemma":0.000111516485,"threshold_uncertainty_score":0.99986905},"labels":[],"label_agreement":null},{"id":"W7008312688","doi":"","title":"Braid groups and Baxter polynomials","year":2024,"lang":"en","type":"dissertation","venue":"University Library (University of Saskatchewan)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Yangian; Braid group; Subalgebra; Action (physics); Group (periodic table); Tensor product; Algebra over a field; Hopf algebra","score_opus":0.009077934742298496,"score_gpt":0.1950949451430793,"score_spread":0.18601701040078078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7008312688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98487186,0.00036485808,0.00005157823,0.00033845947,0.0009319802,0.0002939083,0.00013741985,0.0002475837,0.012762325],"genre_scores_gemma":[0.8497313,0.00020095837,0.0017148741,0.000026484884,0.0001345734,4.0062456e-8,0.00025639494,0.000060931132,0.14787444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986395,0.000077522156,0.00016890824,0.00056157465,0.00028417504,0.0002682665],"domain_scores_gemma":[0.99895257,0.00017167695,0.0002603548,0.00038570262,0.000048277077,0.00018145025],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00006317371,0.00036380222,0.00063715136,0.0004096878,0.00023474658,0.000048809205,0.00060229964,0.00059286645,0.0011055799],"category_scores_gemma":[0.000008218318,0.00046517327,0.00030734364,0.00032023515,0.00015739031,0.00088793214,0.00033942403,0.00046253757,0.00002883866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0033977719,0.00038750135,0.0013242892,0.006819247,0.002757301,0.0014923023,0.35751823,0.0000027199515,0.0010943598,0.55767024,0.05996776,0.007568302],"study_design_scores_gemma":[0.0014346233,0.00017122332,0.0011594256,0.00065947825,0.0010141532,0.0000106367515,0.364846,0.000025413163,0.0007181388,0.6142635,0.014745176,0.0009522771],"about_ca_topic_score_codex":0.0004961552,"about_ca_topic_score_gemma":0.000749748,"teacher_disagreement_score":0.13514058,"about_ca_system_score_codex":0.00005770096,"about_ca_system_score_gemma":0.00032999925,"threshold_uncertainty_score":0.99980754},"labels":[],"label_agreement":null},{"id":"W7015564087","doi":"","title":"Subscription and Organization Information [September 2007]","year":2007,"lang":"en","type":"article","venue":"Lincoln (University of Nebraska)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Arrears; Accounts payable; State (computer science); Work (physics); Government (linguistics)","score_opus":0.01019720753280359,"score_gpt":0.20950310449205034,"score_spread":0.19930589695924675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7015564087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9517024,0.00001673419,0.04320639,0.00008703266,0.00028220232,0.00014068832,0.000002901175,0.00005329405,0.0045083547],"genre_scores_gemma":[0.9953931,0.00001172216,0.0039534513,0.000038064198,0.00005503454,3.6507736e-8,0.000012998331,0.000006138807,0.0005294646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950784,0.000013798633,0.00012032437,0.00008468214,0.0001662971,0.00010706267],"domain_scores_gemma":[0.99944717,0.000059268725,0.00014403753,0.00011518604,0.00017766272,0.00005666383],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016820976,0.00007171739,0.00011918455,0.00010523523,0.000119997414,0.000013144086,0.00009049256,0.00011051698,0.00026960176],"category_scores_gemma":[0.00005781967,0.000085503925,0.000026149803,0.00023149587,0.000046558693,0.0005009697,0.000060177408,0.00006696759,0.000019376941],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012261911,0.00007771207,0.014600966,0.0001719619,0.00006428561,0.000006227992,0.005079989,0.0000148772115,0.00045693672,0.95737535,0.010628881,0.011400216],"study_design_scores_gemma":[0.0033228628,0.00020858637,0.2253923,0.00008484142,0.00016936702,0.000027832946,0.008337705,0.00076647184,0.001002288,0.731651,0.0284887,0.0005480538],"about_ca_topic_score_codex":0.000059106365,"about_ca_topic_score_gemma":0.00004696495,"teacher_disagreement_score":0.22572432,"about_ca_system_score_codex":0.00003965377,"about_ca_system_score_gemma":0.00002307474,"threshold_uncertainty_score":0.3486749},"labels":[],"label_agreement":null},{"id":"W7019479048","doi":"","title":"Friezes satisfying higher SLk-determinants.","year":2021,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Cluster algebra; Grassmannian; Frieze; Bijection; Cluster (spacecraft); Reduction (mathematics); Construct (python library)","score_opus":0.060393999104863046,"score_gpt":0.3276818252261018,"score_spread":0.26728782612123875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7019479048","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9174615,0.00026970537,0.0009578088,0.0004536437,0.0023616988,0.000103101076,0.0000015987362,0.00020147742,0.07818945],"genre_scores_gemma":[0.98312294,0.000012347925,0.0057277903,0.00022777518,0.00022585057,0.0000066519888,8.9664263e-7,0.00002179587,0.010653925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921036,0.000029100574,0.00018997335,0.00019700229,0.00018186879,0.00019169842],"domain_scores_gemma":[0.99937487,0.00014534293,0.00004664668,0.00031406528,0.00006254736,0.00005652161],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000055915185,0.000114391536,0.00019090227,0.00001711484,0.00008013087,0.000048228896,0.000105703264,0.000079748446,0.0023547271],"category_scores_gemma":[0.0000896847,0.0000926351,0.000075177995,0.000096259544,0.000018872894,0.00007051045,0.000094238254,0.000085952845,0.000034227993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027857698,0.000016806123,0.00071651145,0.000022892447,0.000017411774,0.000030297877,0.00009542443,2.3328404e-7,0.00022132913,0.99197924,0.0040137456,0.0028832974],"study_design_scores_gemma":[0.00026056712,0.000012496919,0.0012848136,0.000018015604,0.000018957053,0.000013311697,0.00006863395,0.000025293923,0.009652655,0.9840778,0.0044228192,0.00014464604],"about_ca_topic_score_codex":0.000012953103,"about_ca_topic_score_gemma":0.000018465482,"teacher_disagreement_score":0.06753552,"about_ca_system_score_codex":0.00001925002,"about_ca_system_score_gemma":0.000039766026,"threshold_uncertainty_score":0.99855727},"labels":[],"label_agreement":null},{"id":"W7021211155","doi":"","title":"Navigating Identities in Text: Towards an Approach for Dementia Care","year":2024,"lang":"en","type":"dissertation","venue":"UWSpace (University of Waterloo)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Blackberry (Canada)","funders":"","keywords":"Persona; Identity (music); Task (project management); Relation (database); Proxy (statistics); Distancing; Affect (linguistics); Comprehension","score_opus":0.01867870412467541,"score_gpt":0.2692209359191308,"score_spread":0.2505422317944554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7021211155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99774736,0.0003636976,0.00006761028,0.00002147,0.0006294395,0.00047780763,0.000044583096,0.00006147735,0.00058653334],"genre_scores_gemma":[0.93290496,0.000030896925,0.01080381,0.000003630024,0.00011434221,0.0000050563717,0.0011820587,0.0000705075,0.054884717],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.99893314,0.0000343304,0.00016545308,0.00037028143,0.00026348716,0.00023330355],"domain_scores_gemma":[0.9993376,0.00002685101,0.00017640935,0.00025031308,0.00015734181,0.000051447656],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00009591957,0.00023415977,0.0004210341,0.00010828793,0.000128998,0.000049578837,0.00036972217,0.00031575706,0.000054633834],"category_scores_gemma":[0.000015916603,0.0002654029,0.00019887747,0.00012846319,0.000036493664,0.00019775644,0.000066295856,0.0003161329,0.0000025051115],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020100162,0.00009879381,0.00016140309,0.008765425,0.00039765105,0.000021058606,0.8908026,0.0000624804,0.00030393575,0.09325702,0.00068658654,0.005242017],"study_design_scores_gemma":[0.00064385735,0.00011360529,0.00021102921,0.00053162314,0.00047732933,0.0000011616175,0.75713426,0.0005341164,0.0004835523,0.23946898,0.00003916292,0.00036134952],"about_ca_topic_score_codex":0.013471712,"about_ca_topic_score_gemma":0.016676977,"teacher_disagreement_score":0.14621197,"about_ca_system_score_codex":0.000097639066,"about_ca_system_score_gemma":0.0000843994,"threshold_uncertainty_score":0.9999798},"labels":[],"label_agreement":null},{"id":"W7022072316","doi":"","title":"加拿大的华人文学及其收藏","year":2013,"lang":"en","type":"article","venue":"cIRcle (University of British Columbia)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Multiculturalism; Ethnic group; Immigration; Value (mathematics); Chinese americans; Population; Prime minister; Government (linguistics)","score_opus":0.012203345447407093,"score_gpt":0.18690759013781172,"score_spread":0.17470424469040463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7022072316","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9942759,0.000040035367,0.00040938475,0.00006844362,0.00023024416,0.00021815515,0.000011205957,0.00008037028,0.00466624],"genre_scores_gemma":[0.9966842,0.000016406344,0.0013117192,0.000028472201,0.000042670108,5.86366e-7,0.0000022538693,0.00001337286,0.0019003224],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992484,0.000028547196,0.00010157054,0.0002195385,0.0002046836,0.00019729322],"domain_scores_gemma":[0.99931234,0.000063957996,0.000097416625,0.00027426076,0.00015392451,0.00009809773],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00006583196,0.000035070854,0.00021871342,0.00001959661,0.00013844897,0.00007425975,0.000302959,0.00010068458,0.0010870529],"category_scores_gemma":[0.000039454015,0.00013070466,0.00011149922,0.00013482757,0.00012422459,0.00023831346,0.00011588653,0.00009875738,0.00006173441],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010212217,0.00032232402,0.00918362,0.00025927136,0.00019579851,0.00009934279,0.000765897,0.000002744887,0.00033882752,0.008973702,0.111514695,0.8683336],"study_design_scores_gemma":[0.0004960163,0.00003486676,0.491443,0.000040463252,0.000021826165,0.000018344104,0.0005550247,0.000046850775,7.868484e-7,0.50699735,0.00021626742,0.00012920849],"about_ca_topic_score_codex":0.08218506,"about_ca_topic_score_gemma":0.030149696,"teacher_disagreement_score":0.86820436,"about_ca_system_score_codex":0.000032824875,"about_ca_system_score_gemma":0.000033468856,"threshold_uncertainty_score":0.9998261},"labels":[],"label_agreement":null},{"id":"W7023378825","doi":"","title":"Original qualitative research - Individual, programmatic and systemic indicators of the\\nquality of mental health care using a large health administrative database: an avenue for preventing suicide mortality","year":2018,"lang":"en","type":"article","venue":"Europe PMC (PubMed Central)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Health care; Audit; Mental health; Public health; Qualitative research; Quality (philosophy); Mental health care; Affect (linguistics); Population","score_opus":0.2222550367023846,"score_gpt":0.48658416990591596,"score_spread":0.26432913320353135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023378825","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9937555,0.00073714025,0.0004755458,0.00010352338,0.00033415123,0.0033787265,0.0011792291,0.000022078168,0.00001409964],"genre_scores_gemma":[0.9964509,0.000020672658,0.0031393724,0.000026466672,0.00015319943,0.00008573388,0.00007670438,0.000038697748,0.000008238832],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.993959,0.0027210757,0.0009892002,0.00045358355,0.00086444686,0.0010127091],"domain_scores_gemma":[0.99728775,0.0003304931,0.0011814818,0.00057988305,0.00030401093,0.00031639275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0063979574,0.00022357484,0.0005931704,0.00010913161,0.0005307624,0.00004925254,0.00044769942,0.00006420821,0.0000057248085],"category_scores_gemma":[0.00080515543,0.00017645008,0.00008815882,0.0005706754,0.00049067324,0.0001719239,0.0002480656,0.0002970802,1.4514674e-7],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002550223,0.00053055584,0.032621875,0.0069056824,0.000352641,0.000001553174,0.687127,4.6036624e-7,0.00011202535,0.2700234,0.00019449784,0.0018753022],"study_design_scores_gemma":[0.015088616,0.008535817,0.14638889,0.011575729,0.000795336,0.00013980789,0.4994964,0.00039418275,0.025105244,0.28792462,0.0021767076,0.0023786535],"about_ca_topic_score_codex":0.00036566448,"about_ca_topic_score_gemma":0.00024187578,"teacher_disagreement_score":0.18763056,"about_ca_system_score_codex":0.0002782752,"about_ca_system_score_gemma":0.0012306893,"threshold_uncertainty_score":0.71954256},"labels":[],"label_agreement":null},{"id":"W7023628316","doi":"","title":"Parametric Study on the Ventilation Configuration for a Section of a Tunnel in the Event of a Fire","year":2003,"lang":"en","type":"article","venue":"NPARC","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Section (typography); Ventilation (architecture); Parametric statistics; Event (particle physics); Computational fluid dynamics; Thermal","score_opus":0.0620544751478815,"score_gpt":0.31854524498329606,"score_spread":0.2564907698354146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023628316","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9965891,0.000005362233,0.0014685824,0.0000693741,0.00015571485,0.0009785909,0.0000012471131,0.0000034099776,0.00072859734],"genre_scores_gemma":[0.9997512,7.469372e-7,0.00008609685,0.000012520818,0.000023176917,0.000105574625,6.6052934e-7,0.000004660546,0.000015337833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993371,0.0001336299,0.00021319663,0.00007206961,0.0001857018,0.0000583146],"domain_scores_gemma":[0.9990327,0.0005871254,0.00015157231,0.00017007714,0.000053256823,0.0000053164963],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005373104,0.000051372106,0.00010276974,0.00003975897,0.00003719378,0.0000062952868,0.000073471725,0.00003213981,0.000025248302],"category_scores_gemma":[0.0005322754,0.00002904366,0.00004972283,0.00023174811,0.000011450618,0.000019436477,0.000003607255,0.00005735333,1.8959183e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009414052,0.00045684777,0.0004440704,0.000034077246,0.000024046423,1.3644419e-7,0.0035406614,0.00009740405,0.0010262266,0.993409,0.00025415642,0.0006192524],"study_design_scores_gemma":[0.00061248394,0.00047589027,0.007019554,0.000020455975,0.000029615368,6.2531296e-7,0.0022930235,0.0007750767,0.0032751032,0.98542553,0.000035406705,0.00003721536],"about_ca_topic_score_codex":0.000007334137,"about_ca_topic_score_gemma":0.000006878833,"teacher_disagreement_score":0.00798343,"about_ca_system_score_codex":0.000017340211,"about_ca_system_score_gemma":0.000017749187,"threshold_uncertainty_score":0.11843661},"labels":[],"label_agreement":null},{"id":"W7023759981","doi":"","title":"Physiciansâ âcompliance with treatmentâ in the context of consultation-liaison psychiatry: The role of âtriangleâ relationships and projective identification","year":2008,"lang":"en","type":"other","venue":"Dove Medical Press (Taylor and Francis Group)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Projective identification; Countertransference; Vignette; Projective test; Context (archaeology); Identification (biology); Mirroring","score_opus":0.025258403227034414,"score_gpt":0.26933534001952864,"score_spread":0.24407693679249423,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023759981","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09845622,0.24623871,0.28725323,0.005128275,0.006973019,0.03602488,0.0022360848,0.0005376518,0.31715193],"genre_scores_gemma":[0.9992654,0.000057788387,0.00014065533,0.000044747685,0.0001639083,0.00015644381,0.00002161469,0.000057897738,0.00009159731],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847806,0.00022756508,0.00039225238,0.00027305153,0.00049763604,0.00013145279],"domain_scores_gemma":[0.9982404,0.0008317499,0.0004957828,0.0003301363,0.000061119805,0.000040828367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002848816,0.00021342264,0.0004347188,0.000058018282,0.00008873309,0.00001673521,0.00023262434,0.00022445616,0.00002555848],"category_scores_gemma":[0.00028964027,0.000112966096,0.000050300896,0.00017402919,0.00049670256,0.000045207154,0.00002616469,0.0003349666,5.1616854e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002926417,0.00039495924,0.003588227,0.00042300494,0.0003474169,0.0000022663282,0.0215832,7.461573e-7,0.0000084843305,0.90081596,0.0009058743,0.07163722],"study_design_scores_gemma":[0.008669396,0.0005626335,0.008470983,0.00030231118,0.000628024,0.00004092757,0.019080242,0.01055132,0.000098384284,0.9463996,0.0045228368,0.0006733081],"about_ca_topic_score_codex":0.0007246805,"about_ca_topic_score_gemma":0.00044195447,"teacher_disagreement_score":0.9008091,"about_ca_system_score_codex":0.000011264213,"about_ca_system_score_gemma":0.000006910013,"threshold_uncertainty_score":0.46066236},"labels":[],"label_agreement":null},{"id":"W7024072875","doi":"","title":"Price declines, oversupply to hit solar in third quarter","year":2011,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Investment (military); Production (economics); Work (physics)","score_opus":0.028611206887758586,"score_gpt":0.2793837152643775,"score_spread":0.2507725083766189,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024072875","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00043978516,0.00010057218,0.0023915307,0.00012116713,0.0014239176,0.0006282896,0.00000962913,0.00023086228,0.99465424],"genre_scores_gemma":[0.0054984675,0.000023055552,0.013633547,0.0007498196,0.0008352428,0.00006348131,0.0000072747375,0.0005134339,0.97867566],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986898,0.00003488033,0.00031356316,0.00037936305,0.00025502252,0.00032740668],"domain_scores_gemma":[0.99906415,0.00007756105,0.00013850757,0.00058342493,0.000024981391,0.00011135228],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001087948,0.00032964698,0.00049305725,0.0002167748,0.000016979311,0.000025520736,0.00037656966,0.00046804175,0.010371774],"category_scores_gemma":[0.00007066702,0.00026386578,0.00010361908,0.0001435908,0.00001578552,0.00002939596,0.00010841609,0.00024236039,0.00047253235],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013021942,0.000035772282,0.00003208317,0.000046796507,0.00002916543,0.000005241466,0.00027280327,4.6778837e-8,9.737948e-7,0.36702517,0.63247,0.00006888705],"study_design_scores_gemma":[0.00042989643,0.000063482104,0.00003459725,0.00010897283,0.000024965047,0.000002069957,0.000058155645,0.000002722989,0.000016292228,0.5525616,0.44634435,0.00035294605],"about_ca_topic_score_codex":0.00097171083,"about_ca_topic_score_gemma":0.0010944589,"teacher_disagreement_score":0.1861257,"about_ca_system_score_codex":0.00005162303,"about_ca_system_score_gemma":0.00005650838,"threshold_uncertainty_score":0.99998134},"labels":[],"label_agreement":null},{"id":"W7024186220","doi":"","title":"Risk, Freedom and the Regulation of Professions Review of Michael Trebilcock, Paradoxes of Professional Regulation: In Search of Regulatory Principles","year":2023,"lang":"en","type":"article","venue":"Scholarship at UWindsor (University of Windsor)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Legislation; Key (lock); Professional association; Criticism; Action (physics)","score_opus":0.04282918065061901,"score_gpt":0.2845139554332899,"score_spread":0.24168477478267086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024186220","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9970565,0.001153,0.000022940752,0.0006013368,0.00012662436,0.00081193476,0.000046670906,0.000015204011,0.00016582118],"genre_scores_gemma":[0.9976433,0.0006372029,0.0009281268,0.0000055278388,0.000021672153,0.0000017975556,0.000016166114,0.000016372369,0.0007298156],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99719083,0.0008125419,0.00072333,0.00027067758,0.0008086331,0.00019401223],"domain_scores_gemma":[0.99662673,0.0009969745,0.0012296062,0.00064847054,0.00043823462,0.000060002145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027551134,0.00016997219,0.0007960816,0.00031245296,0.0001694577,0.0000022901545,0.0004617055,0.00022825685,0.00012231249],"category_scores_gemma":[0.00066893233,0.00014183765,0.00022656504,0.0008758338,0.00080639013,0.0002388452,0.000421585,0.0003377635,8.436111e-7],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002646554,0.0004896606,0.24370253,0.017430834,0.00040225667,0.000002674532,0.017720677,0.00040402944,0.013152358,0.702464,0.0005316873,0.0010527741],"study_design_scores_gemma":[0.0026343914,0.000083968065,0.7902056,0.0057837665,0.00016630131,0.0000019932702,0.0021521505,0.0004139165,0.0039771595,0.19442166,0.000023896659,0.00013520534],"about_ca_topic_score_codex":0.00012504577,"about_ca_topic_score_gemma":0.00007886042,"teacher_disagreement_score":0.54650307,"about_ca_system_score_codex":0.000044085275,"about_ca_system_score_gemma":0.00018656075,"threshold_uncertainty_score":0.57839715},"labels":[],"label_agreement":null},{"id":"W7024309482","doi":"","title":"Resurgence through understanding how a Kitayatis comes to know traditional, empirical, and sacred knowledge as they develop wisdom and insight","year":2023,"lang":"en","type":"dissertation","venue":"Mspace (University of Manitoba)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Ceremony; Indigenous; Thematic analysis; Traditional knowledge; Foundation (evidence); Ethnography; Identity (music); Circumstantial evidence","score_opus":0.12544042528522698,"score_gpt":0.29904634768746,"score_spread":0.17360592240223305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024309482","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9917705,0.0005361409,0.00066563993,0.0018189108,0.0007728863,0.0004900015,0.000056374956,0.000111511,0.0037780073],"genre_scores_gemma":[0.9941447,0.0011517244,0.0024563782,0.000028004828,0.00008276029,0.0000021997305,0.00012267684,0.000058818212,0.0019527432],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868685,0.000098989985,0.00014069097,0.0004680536,0.0003611022,0.0002443098],"domain_scores_gemma":[0.9985381,0.00065852614,0.00023489694,0.00024299775,0.00018706388,0.00013843572],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014773363,0.00030645163,0.00055646704,0.00023196601,0.00046724328,0.000069613896,0.00026366874,0.00032183682,0.000008973662],"category_scores_gemma":[0.00023109019,0.00035329905,0.00008541271,0.00039687994,0.00012191378,0.00022355843,0.0001371193,0.00024987815,0.000008460012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003800197,0.00009238665,0.001673706,0.0011506795,0.00047726513,0.00006983662,0.058897484,0.0000025946704,0.00010402067,0.8675976,0.069161884,0.00039253169],"study_design_scores_gemma":[0.0007630129,0.00018005908,0.017233185,0.000657079,0.00022613838,0.000008934376,0.13911279,0.00004028718,0.000049734594,0.8364077,0.0047785463,0.00054250425],"about_ca_topic_score_codex":0.0004585519,"about_ca_topic_score_gemma":0.10032462,"teacher_disagreement_score":0.09986608,"about_ca_system_score_codex":0.00021382576,"about_ca_system_score_gemma":0.00020405071,"threshold_uncertainty_score":0.9998919},"labels":[],"label_agreement":null},{"id":"W7024361235","doi":"","title":"The role of performance measurement models in multi level alignment: An exploratory case analysis in the utilities sector","year":2014,"lang":"en","type":"article","venue":"Research Portal (Queen's University Belfast)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Case analysis; Exploratory analysis; Performance measurement; Measure (data warehouse); Exploratory research","score_opus":0.11661793937311012,"score_gpt":0.3029940021973979,"score_spread":0.1863760628242878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024361235","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9973534,0.00003062962,0.00060274184,0.00010995712,0.00003247532,0.0004008513,0.000017375656,0.000014722793,0.0014378461],"genre_scores_gemma":[0.99963754,0.000053755386,0.000114385584,0.000005728633,0.00002391069,0.000007534509,0.0000037438822,0.000012553559,0.00014082355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99652773,0.0010724731,0.00030066993,0.0003018804,0.0013023893,0.00049485767],"domain_scores_gemma":[0.9983274,0.00042275168,0.000110644316,0.00068639964,0.00034743192,0.000105398394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037716667,0.0001643202,0.00029528304,0.0004138101,0.0004146341,0.000041614385,0.0006820983,0.00009994098,0.000028860806],"category_scores_gemma":[0.0001494739,0.00011756187,0.00012075119,0.0009504552,0.00024560647,0.00037520938,0.00021148016,0.0004411215,0.000001139137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024427884,0.00050342013,0.008976638,0.00009535094,0.00030432662,0.00024027296,0.01783627,0.0020240156,0.000046438025,0.9682727,0.00007373069,0.0013825777],"study_design_scores_gemma":[0.004329921,0.0009270749,0.021184713,0.00019214397,0.00036107024,0.000028109745,0.3176586,0.11501732,0.0018662247,0.5355092,0.0020222615,0.0009033185],"about_ca_topic_score_codex":0.0025069655,"about_ca_topic_score_gemma":0.0034105887,"teacher_disagreement_score":0.43276343,"about_ca_system_score_codex":0.00021510347,"about_ca_system_score_gemma":0.00017191314,"threshold_uncertainty_score":0.47940338},"labels":[],"label_agreement":null},{"id":"W7024374202","doi":"","title":"The Role of Attention in Reading in Learners with Neurodevelopmental Conditions","year":2024,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Fonds de Recherche du Québec - Santé; Social Sciences and Humanities Research Council of Canada","keywords":"Reading (process); Perception; Intervention (counseling); Reading aloud; Cognition","score_opus":0.012416388091561379,"score_gpt":0.25693298581754936,"score_spread":0.244516597725988,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024374202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97045815,0.00014466612,2.4802347e-8,0.000009397505,0.0008573232,0.0005439326,0.00007663731,0.000064921536,0.027844975],"genre_scores_gemma":[0.9972042,0.000079624995,0.00012060092,0.000012039925,0.000016874748,0.00014379481,0.0002004913,0.00012332606,0.0020990446],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974516,0.00018728538,0.0008084767,0.00056418177,0.00057107565,0.00041735367],"domain_scores_gemma":[0.9986877,0.00036173334,0.0003848052,0.00037915687,0.000110740955,0.00007589229],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051969604,0.00041772288,0.0004983195,0.00037481784,0.00035230798,0.00006538952,0.00039048135,0.00036301577,0.00003471116],"category_scores_gemma":[0.0003084628,0.00033339593,0.00015030256,0.00065198605,0.000056561727,0.00025619892,0.000075390984,0.0012594146,0.000017894718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014685236,0.00007328444,0.0001884934,0.0002241795,0.00009330649,0.000030067002,0.00006990089,0.000015122184,0.005034615,0.9871692,0.0000017248211,0.006953238],"study_design_scores_gemma":[0.0006027483,0.000080855556,0.0029288298,0.0010397575,0.00009516694,0.000014512172,0.003422559,0.000034056276,0.0063452055,0.9840943,0.00091669185,0.0004252862],"about_ca_topic_score_codex":0.00026317127,"about_ca_topic_score_gemma":0.003264773,"teacher_disagreement_score":0.026746081,"about_ca_system_score_codex":0.00044905688,"about_ca_system_score_gemma":0.00007713603,"threshold_uncertainty_score":0.9999118},"labels":[],"label_agreement":null},{"id":"W7024399077","doi":"","title":"Release: U of R Publisher and Authors Nominated for Book Awards","year":2004,"lang":"en","type":"other","venue":"oURspace (University of Regina)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Work (physics)","score_opus":0.014351594807832085,"score_gpt":0.23055556792049475,"score_spread":0.21620397311266268,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024399077","genre_codex":"commentary","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01509882,0.010108605,0.034134626,0.7251967,0.004013312,0.0048088753,0.0004682049,0.0008004555,0.20537038],"genre_scores_gemma":[0.00072083337,0.00019907673,0.007284862,0.000009269762,0.0000623075,5.7013165e-7,0.000011075609,0.0001457931,0.99156624],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992752,0.000027145015,0.00002066022,0.00027734018,0.00021111926,0.0001885342],"domain_scores_gemma":[0.9988833,0.00006492737,0.0004714445,0.00036598498,0.00011570873,0.0000986114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010529357,0.00020613184,0.00054299453,0.00022882,0.000053620475,0.00001103667,0.00028768872,0.000467533,0.000062694184],"category_scores_gemma":[0.000075028336,0.00023846808,0.00015644266,0.00012149349,0.0002157641,0.0000984189,0.00009709948,0.00014826687,0.0000011113498],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036527832,0.000013417015,0.0000057274765,0.00038854018,0.000110862136,0.0000039942393,0.00011227701,6.896682e-7,0.0000047525446,0.22152749,0.77759314,0.00020259323],"study_design_scores_gemma":[0.0012950476,0.000099150784,0.000009385568,0.00030805825,0.00022823297,0.000003028999,0.00060958037,0.000014350392,0.000011623951,0.028890794,0.96831334,0.00021740151],"about_ca_topic_score_codex":0.00006801895,"about_ca_topic_score_gemma":0.00010716189,"teacher_disagreement_score":0.7861958,"about_ca_system_score_codex":0.00006662988,"about_ca_system_score_gemma":0.00015638814,"threshold_uncertainty_score":0.9724446},"labels":[],"label_agreement":null},{"id":"W7024490974","doi":"","title":"Session 9: Canada and U.S. Approaches to the Great Lakes - Environmental and Economic Aspects","year":2005,"lang":"en","type":"article","venue":"Canada-United States law journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Session (web analytics); Work (physics); Government (linguistics); Agency (philosophy)","score_opus":0.025442246098359867,"score_gpt":0.20476262369952847,"score_spread":0.1793203776011686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024490974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9949135,0.0003462543,0.000024956413,0.0038604063,0.00028123503,0.0001227088,0.00006662345,0.000006076314,0.00037819264],"genre_scores_gemma":[0.99823916,0.00007522536,0.00017180401,0.0010956172,0.00026541506,0.0000034409777,0.000011515046,0.000019389909,0.00011844166],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9991013,0.000057182897,0.00021555212,0.00015249822,0.00021193059,0.0002615603],"domain_scores_gemma":[0.99930394,0.00014715792,0.00009685892,0.00014278475,0.000008039129,0.00030122834],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011734153,0.00016593082,0.00016837803,0.00003236233,0.00057629315,0.00010861437,0.00014680113,0.000036988415,0.00010011149],"category_scores_gemma":[0.000012175813,0.000112769456,0.000017167606,0.00003284262,0.000058073423,0.000086639746,0.00006916373,0.00023491702,4.0774574e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015080416,0.000049782808,0.0033542016,0.00007551148,0.00048568443,0.00021260077,0.0035803881,0.0067874165,0.000059970378,0.8381225,0.12643033,0.020690793],"study_design_scores_gemma":[0.0020917791,0.0001846055,0.004417682,0.00009526672,0.00018687824,0.0018075655,0.0063872207,0.0075264527,0.0007515565,0.31000897,0.6654912,0.0010507602],"about_ca_topic_score_codex":0.88920623,"about_ca_topic_score_gemma":0.99824315,"teacher_disagreement_score":0.5390609,"about_ca_system_score_codex":0.0005320461,"about_ca_system_score_gemma":0.00033133835,"threshold_uncertainty_score":0.4598605},"labels":[],"label_agreement":null},{"id":"W7024581571","doi":"","title":"Solar EPC Market : Key Companies - Trina Solar, Canadian Solar, First Solar, SunPower Corporation, Enviromena, Akuo Energy, Sterling and Wilson, Conergy, Bechtel, Eiffage","year":2020,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Key (lock); Government (linguistics); The Internet","score_opus":0.0183958583559478,"score_gpt":0.21912502367952402,"score_spread":0.2007291653235762,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024581571","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0020040048,0.0092796525,0.032459907,0.0041410113,0.010629152,0.0043242676,0.0014857313,0.0032309727,0.9324453],"genre_scores_gemma":[0.3336684,0.002933773,0.009573377,0.0027205402,0.003031412,0.00026090807,0.0006655088,0.003785393,0.6433607],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99496317,0.0002688108,0.0011880216,0.001461914,0.0008603182,0.0012577382],"domain_scores_gemma":[0.9961683,0.00040687592,0.00091594696,0.0012464096,0.00013965483,0.0011227813],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.00044382774,0.0014584479,0.001895323,0.0005915254,0.0006786446,0.0006488796,0.0009410963,0.0013948843,0.009413554],"category_scores_gemma":[0.00020877416,0.0013857686,0.00034548764,0.00036007716,0.00035521222,0.0003285943,0.00042825443,0.00091428275,0.00005783381],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000090952126,0.00010134029,0.00019395647,0.0004961497,0.00082631304,0.00015393774,0.0007876801,0.000005560779,0.000013381705,0.24738182,0.7492573,0.00069158146],"study_design_scores_gemma":[0.0017605218,0.00025160698,0.000056106324,0.00037295246,0.00037539177,0.00005581571,0.00035713927,0.0013955584,0.000083407635,0.13457626,0.8589534,0.0017618105],"about_ca_topic_score_codex":0.097482815,"about_ca_topic_score_gemma":0.2558908,"teacher_disagreement_score":0.3316644,"about_ca_system_score_codex":0.0003166583,"about_ca_system_score_gemma":0.00061695214,"threshold_uncertainty_score":0.99990153},"labels":[],"label_agreement":null},{"id":"W7024610967","doi":"","title":"A Statistical Comparison of COVID-19 in the United States Across Political Affiliations and Census Regions","year":2021,"lang":"en","type":"article","venue":"ScholarWorks @ UTRGV (The University of Texas Rio Grande Valley)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Census; Politics; Presidential system; Quarter (Canadian coin); China; Coronavirus disease 2019 (COVID-19); American Community Survey; Official statistics","score_opus":0.06248871322259104,"score_gpt":0.34250981521868207,"score_spread":0.28002110199609104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024610967","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9782552,0.00018822418,0.014931241,0.005709443,0.0000909862,0.00029915065,0.00019655155,0.000029528213,0.0002996697],"genre_scores_gemma":[0.9979188,0.0000983601,0.001585898,0.00019728442,0.000017529139,4.687209e-7,0.000076669465,0.00000987449,0.00009515206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982219,0.0005536272,0.0002966517,0.00024021386,0.0003622459,0.0003253681],"domain_scores_gemma":[0.996614,0.0023912347,0.00015448645,0.0004427609,0.00019582336,0.00020169355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000528047,0.00015181155,0.00037195013,0.00009153445,0.00046637017,0.000044761862,0.00041914516,0.00015852082,0.00007819098],"category_scores_gemma":[0.0012511581,0.00011534474,0.000109238725,0.00060620037,0.0006267021,0.00007810085,0.0001954635,0.0005737026,0.0000011348625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014074326,0.00025811576,0.01097705,0.000084656625,0.000089561494,0.000027937389,0.00850981,0.0004249272,0.0000055338405,0.9770766,0.0023387522,0.00006631649],"study_design_scores_gemma":[0.0029157412,0.00010256143,0.023127856,0.00008293197,0.0001999919,0.000022270708,0.041571423,0.0020565288,0.00002985418,0.92088246,0.008786301,0.00022208129],"about_ca_topic_score_codex":0.0011173846,"about_ca_topic_score_gemma":0.0010255905,"teacher_disagreement_score":0.056194134,"about_ca_system_score_codex":0.00007871169,"about_ca_system_score_gemma":0.00018120707,"threshold_uncertainty_score":0.4703622},"labels":[],"label_agreement":null},{"id":"W7024729733","doi":"","title":"Sempra Energy Earnings Rise In Third Quarter - NYSE (NYSE0001) News","year":2014,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Earnings; Quarter (Canadian coin); Energy (signal processing); Period (music)","score_opus":0.012418055898555254,"score_gpt":0.2549428174592472,"score_spread":0.24252476156069194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024729733","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0007343737,0.00021733946,0.0030261264,0.00018508977,0.001357211,0.00023689755,0.000003774978,0.0004083306,0.99383086],"genre_scores_gemma":[0.020135367,0.00007748035,0.0018235442,0.0004996062,0.0013079612,0.00005466128,0.000011775867,0.00063607114,0.97545356],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99812394,0.00014001962,0.00044923203,0.00051071355,0.00035907948,0.0004170255],"domain_scores_gemma":[0.99857944,0.00016735012,0.000346727,0.0007589337,0.000025224317,0.00012234486],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00014556793,0.0004847534,0.0007692535,0.0002745572,0.00003110949,0.00005679191,0.00042320232,0.00077019644,0.0064585535],"category_scores_gemma":[0.000084718544,0.00038569982,0.00018536356,0.0001454202,0.00004770711,0.00003928208,0.00010555193,0.00038748689,0.0002154219],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000084771045,0.000028445053,0.000048041227,0.000047280428,0.00003577872,0.000005582265,0.0001296486,5.478608e-7,0.0000016857813,0.3854752,0.61388195,0.00033736488],"study_design_scores_gemma":[0.0006046068,0.00005024164,0.0000098786895,0.00012795274,0.000031039828,0.0000032648425,0.00005922523,0.00006166289,0.000009039383,0.44795504,0.55069745,0.00039058493],"about_ca_topic_score_codex":0.0032904,"about_ca_topic_score_gemma":0.0022225967,"teacher_disagreement_score":0.06318451,"about_ca_system_score_codex":0.000050234397,"about_ca_system_score_gemma":0.000056822453,"threshold_uncertainty_score":0.9998595},"labels":[],"label_agreement":null},{"id":"W7024823727","doi":"","title":"STRATEGII ŞI POLITICI ÎN DOMENIUL DATELOR DE CERCETARE DESCHISE","year":2019,"lang":"ro","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Power (physics); Product (mathematics); Context (archaeology)","score_opus":0.2736305588818635,"score_gpt":0.5635052983879982,"score_spread":0.28987473950613474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024823727","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9590325,0.014325721,0.00024216372,0.00023897689,0.004046993,0.0016233231,0.00019192947,0.00008186872,0.020216519],"genre_scores_gemma":[0.9892077,0.0057884227,0.000560693,0.00045291078,0.0009842213,0.0000458239,0.000027001592,0.00024364203,0.0026896219],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99257964,0.00075097836,0.0022359607,0.0011060121,0.0016844143,0.0016430177],"domain_scores_gemma":[0.99321884,0.0010494869,0.0021310959,0.0018637782,0.0006896805,0.00104711],"candidate_categories":["metaepi_narrow","scholarly_communication","open_science","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019437008,0.0010946342,0.0023866815,0.00089542667,0.00052235485,0.0038043757,0.006571292,0.00061959005,0.060658365],"category_scores_gemma":[0.0005603174,0.0010108564,0.000694131,0.0011570783,0.00027269783,0.003436459,0.0024015014,0.0015009552,0.00024063542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002770072,0.0027842126,0.27528992,0.004654991,0.0044343914,0.000530642,0.004928078,0.0011805721,0.05690861,0.5570691,0.07837429,0.011075113],"study_design_scores_gemma":[0.0026595145,0.00007825512,0.07225282,0.0016973147,0.00069976953,0.00008833534,0.0009739049,0.00034712028,0.010231087,0.9046416,0.0048064664,0.0015237776],"about_ca_topic_score_codex":0.0021436645,"about_ca_topic_score_gemma":0.00005179928,"teacher_disagreement_score":0.34757254,"about_ca_system_score_codex":0.00058760535,"about_ca_system_score_gemma":0.0012213751,"threshold_uncertainty_score":0.9992342},"labels":[],"label_agreement":null},{"id":"W7025067163","doi":"","title":"Un bel avenir pour différentes formes de tutorat","year":2021,"lang":"fr","type":"other","venue":"R-libre (Université Téluq)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Nucleofection; Gestational period; TSG101; Hyporeflexia; Dysgeusia; Diafiltration","score_opus":0.010926563753240828,"score_gpt":0.21099197750046766,"score_spread":0.20006541374722683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025067163","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64206773,0.013525585,0.0054957676,0.0071960003,0.006034857,0.0012124956,0.00021854303,0.00050777436,0.32374126],"genre_scores_gemma":[0.123916276,0.0008045683,0.0042991857,0.0003014545,0.001636694,0.000009131711,0.00012416873,0.0005043484,0.86840415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99718535,0.0002083704,0.00037154055,0.0007855853,0.0005122378,0.00093692366],"domain_scores_gemma":[0.99764884,0.0003395259,0.00049753225,0.0009489077,0.0001603823,0.00040482043],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001125189,0.00084745703,0.0010559671,0.00013734643,0.00041307096,0.00017428565,0.0009877082,0.0010801912,0.03808601],"category_scores_gemma":[0.00009128433,0.0009295368,0.00068870623,0.00045383754,0.00017515721,0.00022623168,0.0007078092,0.00070690847,0.00024460777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059782284,0.00028144525,0.00029924695,0.000763026,0.0009847031,0.00051394454,0.0018044472,0.000012962894,0.0003559274,0.80091184,0.01849352,0.17551918],"study_design_scores_gemma":[0.0021364475,0.00013349754,0.003610392,0.0010804356,0.00077908265,0.00016481489,0.0011410007,0.0006737657,0.0005023073,0.51214606,0.4764931,0.0011391041],"about_ca_topic_score_codex":0.00025751034,"about_ca_topic_score_gemma":0.00015228477,"teacher_disagreement_score":0.5446629,"about_ca_system_score_codex":0.00070131413,"about_ca_system_score_gemma":0.0006647682,"threshold_uncertainty_score":0.9993155},"labels":[],"label_agreement":null},{"id":"W7025157795","doi":"","title":"Un pays sans sentiment d’appartenance. Évelyne Brie et Félix Mathieu, Un pays divisé. Identité, fédéralisme et régionalisme au Canada, Québec, Les Presses de l’Université Laval, 2021, 204 pages","year":2022,"lang":"fr","type":"article","venue":"Érudit (Université de Montréal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Context (archaeology); Government (linguistics); Set (abstract data type); Work (physics)","score_opus":0.007613483294795307,"score_gpt":0.17976333923760354,"score_spread":0.17214985594280824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025157795","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5638618,0.12666768,0.0014840056,0.29903126,0.002856041,0.0011191609,0.0019485955,0.00023768253,0.0027937826],"genre_scores_gemma":[0.8433279,0.090010986,0.0010403682,0.0025258844,0.00062622107,0.0000703616,0.00048055217,0.0002769999,0.061640736],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9946316,0.00088830607,0.00061289704,0.0009894747,0.0014633551,0.0014143492],"domain_scores_gemma":[0.9967764,0.0006607922,0.0007341511,0.0009924752,0.00023237422,0.00060379406],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00065028475,0.000851738,0.0009453869,0.00021816976,0.0024822208,0.00011266488,0.0013119298,0.00035677344,0.006118504],"category_scores_gemma":[0.00009193057,0.0010160826,0.00052716775,0.0006014499,0.00020650345,0.0004604237,0.002089507,0.0010413943,0.000027835307],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021046838,0.00042672807,0.0015399606,0.00024533586,0.0011065938,0.0054938435,0.0043272534,0.0033089295,0.00027000936,0.40346983,0.57592,0.0036810578],"study_design_scores_gemma":[0.0027903034,0.00020417,0.0034582554,0.00019219416,0.0012628197,0.0008429404,0.004194961,0.00091057963,0.00067837926,0.07056745,0.913724,0.0011739646],"about_ca_topic_score_codex":0.93471926,"about_ca_topic_score_gemma":0.9800839,"teacher_disagreement_score":0.337804,"about_ca_system_score_codex":0.020731334,"about_ca_system_score_gemma":0.0022409724,"threshold_uncertainty_score":0.99922895},"labels":[],"label_agreement":null},{"id":"W7025223050","doi":"","title":"Traces of Being:&#13;\\nPeople and Coyotes&#13;\\nin Urban and Suburban Canada","year":2014,"lang":"en","type":"dissertation","venue":"OCAD University Open Research Repository (OCAD University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Set (abstract data type); Citizen journalism; Observational study; Work (physics); Data collection","score_opus":0.027989743249344973,"score_gpt":0.2745515385193054,"score_spread":0.24656179526996044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025223050","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7067387,0.00013999932,0.0000061564097,0.00006519883,0.00031850766,0.0006224936,0.000032131084,0.000025228213,0.2920516],"genre_scores_gemma":[0.84136015,0.00015470428,0.00008484837,0.0000063226917,0.00008038502,5.413665e-7,0.000079998885,0.000043105447,0.15818997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9964584,0.00070449995,0.00033033013,0.0008776879,0.0010256142,0.00060345564],"domain_scores_gemma":[0.9969864,0.0007087938,0.0004338898,0.00067250663,0.0007296434,0.00046877444],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005943571,0.0004415833,0.00088798197,0.0005323447,0.0012710491,0.00018835318,0.0014902126,0.00058506295,0.0000039672886],"category_scores_gemma":[0.00016183173,0.0005184617,0.000118255004,0.00065337255,0.00041533157,0.00047935353,0.00047567041,0.0010081126,7.7690487e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00068674795,0.0000696805,0.0038636362,0.00050175376,0.00025994805,0.00025507325,0.0017387812,0.0000021261628,0.00027717033,0.9893794,0.0027781113,0.0001875594],"study_design_scores_gemma":[0.021591522,0.0039402093,0.10581021,0.0045801587,0.0035374125,0.0001429667,0.11734949,0.0008848541,0.015343755,0.17090827,0.54863685,0.0072742836],"about_ca_topic_score_codex":0.40815166,"about_ca_topic_score_gemma":0.48146087,"teacher_disagreement_score":0.81847113,"about_ca_system_score_codex":0.0005927842,"about_ca_system_score_gemma":0.0018787683,"threshold_uncertainty_score":0.9997267},"labels":[],"label_agreement":null},{"id":"W7025627712","doi":"","title":"\"The West of Their Imagination\": Transnational Impression Management and Canadian Migration in the Nigerian Youth Imaginary","year":2017,"lang":"en","type":"article","venue":"Project Muse (Johns Hopkins University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Prestige; Chose; Power (physics); Immigration; Inequality; Racism; Social inequality; Privilege (computing)","score_opus":0.021560915000069524,"score_gpt":0.2395383500507244,"score_spread":0.2179774350506549,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025627712","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86375284,0.0000066930506,0.00023918162,0.0053437357,0.00029800943,0.0009226895,0.00005668411,0.000022714024,0.12935743],"genre_scores_gemma":[0.99743867,0.002306655,0.00016469885,0.000026934838,0.00002649802,0.000003134586,0.000009705794,0.000008543025,0.000015131889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.999262,0.00009270691,0.0001251731,0.00016908556,0.0001784684,0.00017261908],"domain_scores_gemma":[0.9992623,0.000097159835,0.00013465763,0.0003933145,0.00007571021,0.000036892965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024055275,0.00011790156,0.000108398206,0.0011956674,0.00062139385,0.00011260749,0.0005308967,0.00004937801,0.000004732092],"category_scores_gemma":[0.00002652755,0.00007940556,0.000046117526,0.00048717705,0.0001357197,0.00029765212,0.00006774534,0.00011578185,2.1014337e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006314084,0.00005321849,0.001999191,0.000042880678,0.00004667532,0.00002292008,0.02133837,0.0000022821905,0.0000036328122,0.96707475,0.00007665576,0.009276301],"study_design_scores_gemma":[0.0072198575,0.00031086805,0.11712947,0.0002543037,0.00042932382,0.000033470056,0.042627387,0.0024192133,0.00051029504,0.12831591,0.69962156,0.001128313],"about_ca_topic_score_codex":0.112579785,"about_ca_topic_score_gemma":0.3083954,"teacher_disagreement_score":0.8387588,"about_ca_system_score_codex":0.00009355748,"about_ca_system_score_gemma":0.00014356196,"threshold_uncertainty_score":0.8933296},"labels":[],"label_agreement":null},{"id":"W7025629335","doi":"","title":"Where is the Lobster: An Exploration of the Lobster as a Being in Fisheries Management in Nova Scotia, Canada","year":2022,"lang":"en","type":"dissertation","venue":"Duo Research Archive (University of Oslo)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Framing (construction); Agency (philosophy); Indigenous; Government (linguistics); Fisheries Research; Politics; Fisheries management; Marine fisheries","score_opus":0.05184742229845581,"score_gpt":0.2964380117288776,"score_spread":0.2445905894304218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025629335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98202026,0.00006788517,0.00004047713,0.0010771526,0.0003626995,0.0010564331,0.00005467647,0.0000054951897,0.015314899],"genre_scores_gemma":[0.9958376,0.00009744302,0.00022070465,0.000027883867,0.00001939659,0.0000046982877,0.00009588619,0.000023982562,0.0036723546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973574,0.00059907377,0.00023789314,0.00032319716,0.0011726891,0.00030973088],"domain_scores_gemma":[0.99860084,0.00040451364,0.00020954896,0.00060353614,0.0001319826,0.000049602175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050639594,0.00016221771,0.0002988108,0.00028913337,0.00026172827,0.00002593172,0.0011326417,0.0000764062,0.00065955584],"category_scores_gemma":[0.000091073125,0.00014179268,0.00009858835,0.0005622124,0.00015955346,0.00029626035,0.0004652289,0.00075158017,0.0000014011109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001611666,0.00039181334,0.0048465114,0.0030354317,0.0004381602,0.00026161395,0.23950982,0.00016681057,0.00017746098,0.72578216,0.015443229,0.008335346],"study_design_scores_gemma":[0.0007585229,0.00012896226,0.015420745,0.00043455826,0.000035653353,8.035284e-7,0.1707996,0.00021105068,0.00007630435,0.8101761,0.001766196,0.00019152749],"about_ca_topic_score_codex":0.49020657,"about_ca_topic_score_gemma":0.9609387,"teacher_disagreement_score":0.4707321,"about_ca_system_score_codex":0.00029796342,"about_ca_system_score_gemma":0.0005391289,"threshold_uncertainty_score":0.72216743},"labels":[],"label_agreement":null},{"id":"W7034861162","doi":"","title":"Viridis Energy Reports Third Quarter and Nine Month Financial Results - FOX 42: Omaha News, Sports and Weather; fox42kptm.com |","year":2014,"lang":"en","type":"other","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Energy (signal processing)","score_opus":0.007360820852963752,"score_gpt":0.22142943715996857,"score_spread":0.21406861630700483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7034861162","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008448047,0.0035763145,0.003426993,0.0008403243,0.0038735522,0.0009299705,0.000072572344,0.0007582999,0.97807395],"genre_scores_gemma":[0.09523107,0.0006919356,0.0022248584,0.0006602652,0.0022140646,0.0000635083,0.0000823287,0.00070548704,0.8981265],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99708587,0.00006929084,0.0008559476,0.0009987743,0.0005261351,0.00046398045],"domain_scores_gemma":[0.99770486,0.00014404405,0.0008080974,0.0010885209,0.000053455067,0.00020102428],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026201335,0.00071480696,0.0010872952,0.00018307858,0.00010851088,0.000095689116,0.00017603987,0.0008720311,0.0004861859],"category_scores_gemma":[0.00019158924,0.0005603556,0.00015338551,0.0000993893,0.00012675652,0.00006846597,0.00018299313,0.00027551097,0.000003047427],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008354437,0.000044520402,0.000067977766,0.00009485775,0.000068433495,0.00013318902,0.00017588511,1.7130454e-7,0.0000040355726,0.16615443,0.83076006,0.002412902],"study_design_scores_gemma":[0.0010709232,0.00016525011,0.00009426661,0.00024189649,0.00014003985,0.00014022416,0.0000340164,0.000029805718,0.000026299644,0.4724226,0.52497905,0.00065561617],"about_ca_topic_score_codex":0.002221813,"about_ca_topic_score_gemma":0.001247659,"teacher_disagreement_score":0.30626816,"about_ca_system_score_codex":0.000028366701,"about_ca_system_score_gemma":0.000090566435,"threshold_uncertainty_score":0.9996848},"labels":[],"label_agreement":null},{"id":"W7038643831","doi":"","title":"Impact des stratÃ©gies de communication, de marque et de certification sur la propension Ã  payer pour la viande de porc","year":2014,"lang":"fr","type":"other","venue":"Library and Archives Canada (Government of Canada)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Certification; Context (archaeology); Ile de france; Production (economics)","score_opus":0.007020110363676002,"score_gpt":0.19567744174047133,"score_spread":0.18865733137679533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7038643831","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3604655,0.0012074851,0.0047339476,0.005218888,0.0001269768,0.0005303225,0.00019328031,0.00002891037,0.6274947],"genre_scores_gemma":[0.91622853,0.0009678669,0.008694623,0.00058920914,0.00009026476,0.000021643591,0.000015793043,0.00012493395,0.07326716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971335,0.0009324017,0.00039920464,0.00026753283,0.0007701093,0.0004972647],"domain_scores_gemma":[0.9972208,0.0014757527,0.0004244161,0.0005019769,0.0000037933044,0.00037324568],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00012290347,0.00037868833,0.00043491233,0.00003250861,0.00021067665,0.00010791603,0.00047441712,0.00018890743,0.0004350479],"category_scores_gemma":[0.00006643556,0.0003434617,0.000076961216,0.000057381112,0.0002044215,0.00022278028,0.00017724968,0.00039335125,2.0973683e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029155947,0.00009403375,0.029621322,0.0007761411,0.00026457603,0.000038667615,0.0008532121,0.0003225799,0.0068930546,0.9467248,0.007983258,0.006136796],"study_design_scores_gemma":[0.0009789525,0.000117204094,0.22544295,0.0016402986,0.00021015122,0.0001442763,0.0012341976,0.005757514,0.013949255,0.6863772,0.06336705,0.00078093813],"about_ca_topic_score_codex":0.02072463,"about_ca_topic_score_gemma":0.047334973,"teacher_disagreement_score":0.555763,"about_ca_system_score_codex":0.00012136863,"about_ca_system_score_gemma":0.008548471,"threshold_uncertainty_score":0.9999017},"labels":[],"label_agreement":null},{"id":"W7039159576","doi":"","title":"Logarithmic $M \\left( 2,p \\right)$ Minimal Models, their Logarithmic Couplings, and Duality.","year":2007,"lang":"en","type":"article","venue":"DESY (CERN, DESY, Fermilab, IHEP, and SLAC)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Indecomposable module; Logarithm; Type (biology); Key (lock); Fusion rules; Algebra over a field","score_opus":0.03884727392523963,"score_gpt":0.27332288407623323,"score_spread":0.2344756101509936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7039159576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9863263,0.0020287498,0.005332283,0.0002688556,0.00077205023,0.000662138,0.000049615686,0.00029959824,0.004260446],"genre_scores_gemma":[0.995139,0.0005671793,0.002078986,0.00042842852,0.00051662046,0.0000106610705,0.000030317156,0.00014582975,0.001082965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964978,0.00009287763,0.0008926452,0.0009670116,0.0005480192,0.0010016328],"domain_scores_gemma":[0.9977498,0.0005208904,0.00030680388,0.0007285218,0.00020734862,0.0004866537],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009499944,0.0007328205,0.0009282792,0.00023164185,0.00061459234,0.00027390683,0.00047707447,0.0006087868,0.00018352618],"category_scores_gemma":[0.00012418545,0.00061868795,0.00020326432,0.00021272404,0.00044942662,0.0003637739,0.00038534874,0.00060828746,0.000015020197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006017523,0.00037385567,0.0027448437,0.0005100986,0.00040067072,0.00024098014,0.0052381717,0.000022276568,0.0008319372,0.9775901,0.0024547118,0.008990621],"study_design_scores_gemma":[0.002297914,0.00025752123,0.0025329785,0.00011527404,0.00017897139,0.00048643365,0.0005810586,0.0058029154,0.0015137554,0.98082304,0.0044460804,0.0009640487],"about_ca_topic_score_codex":0.00022451213,"about_ca_topic_score_gemma":0.00020586031,"teacher_disagreement_score":0.008812749,"about_ca_system_score_codex":0.00014644237,"about_ca_system_score_gemma":0.00009251507,"threshold_uncertainty_score":0.99962646},"labels":[],"label_agreement":null},{"id":"W7084603769","doi":"10.4006/0836-1398-38.3.208","title":"New elementary particle hypothesis: Yin‐Yang particles","year":2025,"lang":"en","type":"article","venue":"Physics Essays","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Elementary particle; Standard Model (mathematical formulation); Fundamental interaction; Range (aeronautics); Fermion; Universe; Subatomic particle","score_opus":0.04212315973248594,"score_gpt":0.29225229388919904,"score_spread":0.2501291341567131,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7084603769","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91493696,0.00038559537,0.050347306,0.0017176089,0.0011550654,0.0004884955,0.0000073290475,0.0003706615,0.030590968],"genre_scores_gemma":[0.99333626,0.000009206115,0.005268812,0.0003491613,0.00032334213,0.000025434687,0.0000012727008,0.000021918324,0.000664612],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896675,0.000042658678,0.00024373403,0.00023104438,0.00020524907,0.00031053677],"domain_scores_gemma":[0.99912655,0.00028045182,0.00007178486,0.0003983624,0.00003691995,0.00008595487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010269494,0.00016163972,0.00022093821,0.000016511074,0.00012683317,0.000056280194,0.00023149146,0.000045294797,0.00011185617],"category_scores_gemma":[0.00007204306,0.00014746492,0.000103198145,0.00023057348,0.000028726421,0.00013181104,0.0001076013,0.000106072825,0.000034337198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017656694,0.0000700941,0.00079788215,0.000029229395,0.00007930164,0.0000013947007,0.000238066,0.000014236721,0.00076536555,0.9652342,0.008786131,0.023966432],"study_design_scores_gemma":[0.00056143483,0.000019628911,0.0001349715,0.00003365884,0.000088783316,3.3376946e-7,0.00013104596,0.0003781442,0.027552435,0.97064,0.00031079396,0.00014876989],"about_ca_topic_score_codex":0.00006653202,"about_ca_topic_score_gemma":0.00000901638,"teacher_disagreement_score":0.07839927,"about_ca_system_score_codex":0.000043457017,"about_ca_system_score_gemma":0.00007563843,"threshold_uncertainty_score":0.60134447},"labels":[],"label_agreement":null},{"id":"W7090921434","doi":"10.1112/jlms.70328","title":"Kazhdan‐Lusztig correspondence for vertex operator superalgebras from abelian gauge theories","year":2025,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Ministry of Colleges and Universities; Government of Canada","keywords":"Vertex (graph theory); Operator algebra; Vertex operator algebra; Abelian group; Affine transformation; Gauge theory; Tensor (intrinsic definition); Conformal field theory; Twist","score_opus":0.016140441806401982,"score_gpt":0.2989927023871966,"score_spread":0.2828522605807946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7090921434","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9556335,0.0005619525,0.037026275,0.0032815652,0.0025246178,0.000583465,0.000035361605,0.000036550147,0.00031666507],"genre_scores_gemma":[0.96734715,0.000050970586,0.0279693,0.0016709042,0.00041035388,0.00002813696,0.0000012620169,0.000048178856,0.0024737678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778825,0.00014239429,0.00091422856,0.00021830558,0.00058028725,0.00035651916],"domain_scores_gemma":[0.9957799,0.0027700097,0.00040646252,0.0005577625,0.00036268897,0.00012321204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090658106,0.00028985186,0.0007157483,0.000032150572,0.00036433863,0.00016313829,0.0010928637,0.00024187326,0.00029148057],"category_scores_gemma":[0.0020517602,0.00016626745,0.0010705688,0.0002867444,0.00022750843,0.00019099518,0.00023353416,0.0005042983,0.0000076166484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013636397,0.00013136327,0.00019084818,0.00016131501,0.00031298178,0.0000012920674,0.0011568837,0.0000028978575,0.0012266511,0.96760476,0.028904248,0.00017042691],"study_design_scores_gemma":[0.0014170775,0.000080429556,0.00018165482,0.00042222027,0.0002849547,0.000013248143,0.00058264885,0.00048606907,0.00507512,0.9897772,0.001501123,0.00017825178],"about_ca_topic_score_codex":0.0000065923437,"about_ca_topic_score_gemma":0.0000025635259,"teacher_disagreement_score":0.027403126,"about_ca_system_score_codex":0.00015698388,"about_ca_system_score_gemma":0.00026392666,"threshold_uncertainty_score":0.678019},"labels":[],"label_agreement":null},{"id":"W7091186422","doi":"","title":"Generalized Rank via Minimal Subposet","year":2025,"lang":"en","type":"article","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Embedding; Subcategory; Invariant (physics); Partially ordered set; Property (philosophy); Multiplicity (mathematics)","score_opus":0.03944148644289221,"score_gpt":0.3039729558894123,"score_spread":0.2645314694465201,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7091186422","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9932001,0.0002027766,0.0013378015,0.0005526125,0.0013622259,0.00020275584,0.000002982873,0.00012756966,0.0030111242],"genre_scores_gemma":[0.99498945,0.000012905779,0.00087678473,0.00053635496,0.0002311516,0.000025555342,0.000005851787,0.000023086028,0.0032988794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989051,0.000059151338,0.00030306724,0.000277233,0.00016732827,0.0002881149],"domain_scores_gemma":[0.9991757,0.00015693494,0.000080416685,0.00045539497,0.00006733433,0.00006416206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013206368,0.00018850686,0.00030489615,0.0000652723,0.00012407625,0.000025656786,0.00028419576,0.0001390105,0.00028284718],"category_scores_gemma":[0.00014419275,0.00016346529,0.00013892919,0.00020746615,0.000040052913,0.000067289475,0.00011445477,0.00015575284,0.00005929603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012381675,0.000090331436,0.057723295,0.00007782407,0.00015940865,0.000013832321,0.00027547963,0.000002677094,0.0028600649,0.9240477,0.013918675,0.0007069076],"study_design_scores_gemma":[0.0017132959,0.00004691239,0.020192785,0.0000331166,0.000096228374,0.000004349396,0.00003807307,0.00015818184,0.006495968,0.9642385,0.0067268903,0.00025570372],"about_ca_topic_score_codex":0.000046604644,"about_ca_topic_score_gemma":0.000010786966,"teacher_disagreement_score":0.04019081,"about_ca_system_score_codex":0.000041523974,"about_ca_system_score_gemma":0.000055490735,"threshold_uncertainty_score":0.6665921},"labels":[],"label_agreement":null},{"id":"W7096897535","doi":"","title":"Edmonton, Alberta,","year":2001,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Affine transformation; Lie algebra; Algebra over a field; Type (biology); Involution (esoterism); Quantum; Torus; Affine coordinate system","score_opus":0.031795287087394423,"score_gpt":0.2953743013142442,"score_spread":0.26357901422684976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7096897535","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60291857,0.000025727955,0.002067166,0.00048937503,0.00044030932,0.000093831644,1.0214641e-7,0.000087349574,0.39387757],"genre_scores_gemma":[0.96758366,0.000005763845,0.00110543,0.00020195145,0.00016808223,0.0000051086517,3.743636e-7,0.000011409099,0.030918242],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995254,0.000009341534,0.00011054642,0.00010506722,0.00010872908,0.00014090435],"domain_scores_gemma":[0.9995779,0.000118441036,0.00002420486,0.00020671528,0.00002381761,0.000048969763],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000039463208,0.00007298512,0.00009759658,0.000015569503,0.000041016978,0.000015756448,0.00010649121,0.000046840032,0.0019081834],"category_scores_gemma":[0.00007151438,0.000054368913,0.00004481979,0.000063151805,0.000011696925,0.00004687381,0.000027640792,0.000046538236,0.000071839655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005215669,0.00001517135,0.0002868613,0.0000021369167,0.000008490732,0.0000019923793,0.00008216235,3.550952e-7,0.000013418769,0.99108523,0.0076709,0.00082806614],"study_design_scores_gemma":[0.0001873476,0.000016087932,0.00021584025,0.0000025032132,0.0000071868367,0.000011491378,0.000029106066,0.000051919804,0.00013582285,0.97672963,0.02253159,0.00008145114],"about_ca_topic_score_codex":0.00032649006,"about_ca_topic_score_gemma":0.00020031718,"teacher_disagreement_score":0.36466506,"about_ca_system_score_codex":0.000012522294,"about_ca_system_score_gemma":0.0000097710745,"threshold_uncertainty_score":0.9990042},"labels":[],"label_agreement":null},{"id":"W7099165240","doi":"","title":"LAVAL-PHY-00-21 Conserved charges of non-yangian type for the Frahm-Polychronakos spin chain","year":2001,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Yangian; Conserved quantity; Chain (unit); Spin (aerodynamics); Conservation law; Type (biology)","score_opus":0.04281287623317668,"score_gpt":0.31755367376940374,"score_spread":0.27474079753622704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099165240","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.981912,0.0004921455,0.009218402,0.0017026645,0.0013974748,0.001123967,0.0000147546525,0.00009121252,0.00404738],"genre_scores_gemma":[0.9933429,0.00008364455,0.0015652099,0.00023028841,0.00032590574,0.0000445774,0.000004469035,0.000036590427,0.0043664253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989509,0.000028390834,0.00032159657,0.00020000541,0.00021086879,0.0002882161],"domain_scores_gemma":[0.9986417,0.00053179986,0.00014955229,0.00047054447,0.0001442134,0.000062160216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020624552,0.00018529134,0.0003120204,0.000039813374,0.00011909378,0.000021854074,0.00034316056,0.00011199589,0.00060832256],"category_scores_gemma":[0.0001937288,0.00011613991,0.00015547597,0.00018270846,0.00008408706,0.0000451758,0.00006372909,0.00010279556,0.000012214807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023987275,0.00014211443,0.00126876,0.00015180511,0.00024052004,0.0000027778344,0.0010591969,0.000011787776,0.0015492287,0.961574,0.031824607,0.0019352913],"study_design_scores_gemma":[0.002684979,0.0005669685,0.0033253848,0.00008038163,0.00015452885,0.00001405212,0.0008296759,0.006604883,0.016333608,0.94892603,0.019961203,0.0005182805],"about_ca_topic_score_codex":0.00018132666,"about_ca_topic_score_gemma":0.00009682821,"teacher_disagreement_score":0.014784379,"about_ca_system_score_codex":0.00002084539,"about_ca_system_score_gemma":0.00007175117,"threshold_uncertainty_score":0.6660705},"labels":[],"label_agreement":null},{"id":"W7099454059","doi":"","title":"Driving forces of the Canadian economy: An","year":2008,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Productivity; Total factor productivity; Multifactor productivity; Growth accounting; Labor relations; Supply side; Driving factors","score_opus":0.03699857575707214,"score_gpt":0.2579535907848966,"score_spread":0.22095501502782447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099454059","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9336129,0.000004822213,0.00004626753,0.00014376504,0.00018752362,0.000071410315,4.027895e-7,0.000012505816,0.06592042],"genre_scores_gemma":[0.99858886,5.4939915e-7,0.00038282495,0.0001076718,0.000053662592,0.0000019775473,1.6611436e-7,0.000006640173,0.0008576727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996537,0.0000131637935,0.00010318736,0.00006704899,0.000053988722,0.00010893714],"domain_scores_gemma":[0.99959266,0.000034920413,0.00004002091,0.00023578078,0.000028184671,0.00006845129],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00004311921,0.00004960568,0.0000846992,0.000019046203,0.00016805943,0.000007836594,0.0001845179,0.000039807936,0.0001791932],"category_scores_gemma":[0.00003210425,0.000030707884,0.000040849496,0.000040653555,0.00004184201,0.00005956938,0.000021511953,0.000044216216,0.0000012783935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[3.4423695e-7,0.0000035027608,0.003972082,0.0000029302987,0.000006075014,3.2488543e-7,0.00040944584,0.0000033991068,0.000004228402,0.9950487,0.00048842013,0.000060546878],"study_design_scores_gemma":[0.00007358697,0.000012227258,0.003098331,0.0000035581672,0.0000044570343,0.000006630774,0.00006057359,0.0001582201,0.0007808014,0.99487114,0.000880479,0.00004997652],"about_ca_topic_score_codex":0.037384246,"about_ca_topic_score_gemma":0.27289295,"teacher_disagreement_score":0.2355087,"about_ca_system_score_codex":0.000035658017,"about_ca_system_score_gemma":0.000171073,"threshold_uncertainty_score":0.9690259},"labels":[],"label_agreement":null},{"id":"W7099779286","doi":"","title":"($1 of Canada Acquisitions and","year":2014,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"","score_opus":0.010582764967562977,"score_gpt":0.22967053637847074,"score_spread":0.21908777141090777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099779286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96564865,0.000008426152,0.002601066,0.00033634828,0.00016358428,0.000033606855,9.5284906e-7,0.000010457678,0.031196909],"genre_scores_gemma":[0.9984952,3.0867417e-7,0.0009690799,0.00007520113,0.00002158924,7.663812e-7,1.3868605e-7,0.0000024776969,0.00043522654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997902,0.0000065957265,0.00005962334,0.000037467442,0.000059942344,0.0000461509],"domain_scores_gemma":[0.9997739,0.000090183756,0.000017987202,0.0000767152,0.000017393775,0.00002380903],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000030710537,0.00002631438,0.000060030216,0.00000561293,0.00002119172,0.0000022605136,0.000028124898,0.000012589631,0.00010344199],"category_scores_gemma":[0.00004301345,0.000020078272,0.000007027256,0.000017173768,0.00000995595,0.000009451069,0.0000145571175,0.000014214056,6.9012785e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[6.106225e-7,0.0000019404479,0.00004013638,0.0000069391567,0.0000031274396,4.3109903e-8,0.00002221397,3.6855545e-7,0.000021589522,0.99733275,0.0024368782,0.0001333996],"study_design_scores_gemma":[0.00007736444,0.000009505627,0.00032159485,0.0000019905647,0.000003958309,8.969196e-7,0.000026208852,0.00011644492,0.0005817431,0.99790287,0.0009311532,0.000026294178],"about_ca_topic_score_codex":0.02839822,"about_ca_topic_score_gemma":0.05796971,"teacher_disagreement_score":0.032846563,"about_ca_system_score_codex":0.0000051168213,"about_ca_system_score_gemma":0.000029310831,"threshold_uncertainty_score":0.97807175},"labels":[],"label_agreement":null},{"id":"W7099842724","doi":"","title":"Stephen Berman (University of Saskatchewan),","year":2005,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Lie algebra; Affine Lie algebra; Killing form; Affine transformation; Lie conformal algebra; Quotient; Adjoint representation of a Lie algebra; Algebra over a field; Generalized Kac–Moody algebra","score_opus":0.01913833273458045,"score_gpt":0.24025537463536142,"score_spread":0.22111704190078096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099842724","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9755196,0.000014344327,0.0033783051,0.00020141016,0.00007498912,0.00006685876,0.0000011886884,0.000049086124,0.020694207],"genre_scores_gemma":[0.98302776,0.0000014011196,0.011145154,0.000031083204,0.000058018064,7.7250526e-8,4.6490803e-7,0.000005423324,0.0057306252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999656,0.000011032445,0.00007195371,0.00007688475,0.00010130358,0.00008280857],"domain_scores_gemma":[0.9996859,0.000041780364,0.000043680462,0.00016559835,0.000029329241,0.000033748573],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000044596673,0.000050966468,0.00010799817,0.000016502374,0.000032277672,0.0000027494136,0.00012472474,0.0000429731,0.0011618169],"category_scores_gemma":[0.000006876384,0.00004790931,0.00005002446,0.00004340539,0.000024508854,0.00005720479,0.000045725603,0.000041524636,0.000019993651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001492683,0.00004675674,0.00017838324,0.000017659595,0.000031835687,0.0000010581145,0.0036052007,0.0000053904896,0.00014049947,0.9862078,0.004097603,0.0056529148],"study_design_scores_gemma":[0.00048980926,0.000026669391,0.00029579567,0.0000065787453,0.000026767513,0.0000017384897,0.0026683894,0.0001911451,0.0012223144,0.9905078,0.004461436,0.00010156153],"about_ca_topic_score_codex":0.000116277246,"about_ca_topic_score_gemma":0.00023283248,"teacher_disagreement_score":0.014963583,"about_ca_system_score_codex":0.000015716942,"about_ca_system_score_gemma":0.000021601723,"threshold_uncertainty_score":0.99975127},"labels":[],"label_agreement":null},{"id":"W7102329079","doi":"","title":"Generalized permutation matrices and non-weight modules over $\\mathfrak{sl}(m|1)$","year":2025,"lang":"","type":"article","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Defence Academy","keywords":"Isomorphism (crystallography); Construct (python library); Permutation (music); Permutation matrix; Rank (graph theory); Parity (physics)","score_opus":0.018449028900774697,"score_gpt":0.2808278764615428,"score_spread":0.26237884756076807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7102329079","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9857767,0.004931602,0.0025966482,0.0006082777,0.003193794,0.00077199057,0.000020988233,0.000109324654,0.0019906529],"genre_scores_gemma":[0.99295914,0.0017004453,0.0011139564,0.00049737626,0.00063973933,0.000064563355,0.000016788248,0.00007767875,0.0029303404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99681175,0.00015974553,0.0009913166,0.00089682074,0.00047471395,0.0006656331],"domain_scores_gemma":[0.99788857,0.0004067801,0.00044908188,0.00083002326,0.00022798318,0.0001975899],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030879964,0.0006720045,0.0008874483,0.0002924259,0.00054980634,0.00026100694,0.00046079754,0.00053038873,0.00050875935],"category_scores_gemma":[0.00022731737,0.0006216298,0.00027533676,0.0005926564,0.00016417934,0.0004278722,0.00040295452,0.0004326901,0.000062416446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003401945,0.00034500478,0.11571651,0.0015105619,0.00086444436,0.00003637967,0.004062499,0.00007641127,0.0021228509,0.867784,0.0037533108,0.0033877986],"study_design_scores_gemma":[0.004064234,0.00014885252,0.15372778,0.00047020888,0.00088369375,0.0000112345615,0.000542783,0.010972972,0.003319011,0.8223582,0.002569206,0.00093184016],"about_ca_topic_score_codex":0.00017955391,"about_ca_topic_score_gemma":0.000022097185,"teacher_disagreement_score":0.04542585,"about_ca_system_score_codex":0.0001436309,"about_ca_system_score_gemma":0.00016945855,"threshold_uncertainty_score":0.9996235},"labels":[],"label_agreement":null},{"id":"W7118051862","doi":"","title":"Configuration Spaces of Finite Representation Type Algebras","year":2025,"lang":"","type":"article","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Institut Universitaire de France; Canada Research Chairs; Agence Nationale de la Recherche; Natural Sciences and Engineering Research Council of Canada; Mathematisches Forschungsinstitut Oberwolfach; European Commission; U.S. Department of Energy","keywords":"Moduli space; Type (biology); Variety (cybernetics); Algebra over a field; Generalization; Affine transformation; Monomial; Boundary (topology); Context (archaeology)","score_opus":0.05413954199561714,"score_gpt":0.32690396201209887,"score_spread":0.2727644200164817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7118051862","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98264295,0.00086929643,0.0030685363,0.0007684055,0.0038774319,0.00056162965,0.0000063871526,0.000054468917,0.008150914],"genre_scores_gemma":[0.9946032,0.00026165892,0.00019016697,0.00016550846,0.00024162262,0.000014069168,0.000021608841,0.000029949064,0.0044722124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977718,0.00017828032,0.00089496956,0.00047974277,0.000360223,0.00031496442],"domain_scores_gemma":[0.9972518,0.00076519384,0.000583919,0.00079189864,0.0005328553,0.00007430637],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024384844,0.0003158762,0.000574374,0.00018283763,0.00017997202,0.00007227689,0.00032967134,0.00032608752,0.0007615349],"category_scores_gemma":[0.0013877916,0.00031506605,0.00018411015,0.0008337358,0.00013610284,0.0002516296,0.00013808162,0.00027686908,0.00008661338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002629658,0.000182737,0.10158976,0.00045124642,0.00039743684,0.00000462246,0.001798563,0.00015353477,0.0041703368,0.88788617,0.001900126,0.0012024941],"study_design_scores_gemma":[0.0017238725,0.00031480935,0.055877276,0.0005152974,0.00055515504,0.0000017089445,0.0013859016,0.0015693294,0.07806044,0.85802317,0.0015222112,0.00045080902],"about_ca_topic_score_codex":0.00014188857,"about_ca_topic_score_gemma":0.000014300339,"teacher_disagreement_score":0.073890105,"about_ca_system_score_codex":0.00006691161,"about_ca_system_score_gemma":0.00026855175,"threshold_uncertainty_score":0.99993014},"labels":[],"label_agreement":null},{"id":"W7133014816","doi":"","title":"Schur Algebras in Type B","year":2024,"lang":"","type":"dissertation","venue":"TSpace","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Schur algebra; Type (biology); Algebra over a field; Idempotence; Cellular algebra; Hecke algebra; Morita equivalence; Graph","score_opus":0.03102185856723815,"score_gpt":0.36574688558894586,"score_spread":0.3347250270217077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133014816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94674337,0.008806858,0.000019038358,0.00031969935,0.015609789,0.0008045635,0.000002921203,0.00014812058,0.02754564],"genre_scores_gemma":[0.92598873,0.00066155783,0.00033466564,0.00006497205,0.0007483805,0.00004603653,0.00010861008,0.00023556316,0.07181149],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967419,0.000114346534,0.00083009247,0.0009246756,0.000692454,0.00069653144],"domain_scores_gemma":[0.9982059,0.00026165458,0.0003178896,0.0008196185,0.00021722284,0.00017773046],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003154916,0.00079631625,0.0009828865,0.00042720433,0.000112553666,0.00024933097,0.00056435005,0.0011116148,0.0028050018],"category_scores_gemma":[0.0004275435,0.0007891785,0.00028772253,0.0011030912,0.00005372102,0.000103841114,0.0001389519,0.0015163261,0.001478264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024354938,0.000120924946,0.000032772554,0.0019240853,0.00021150803,0.00010688278,0.04142128,0.000021929407,0.00025622014,0.9500536,0.0041797156,0.0014275529],"study_design_scores_gemma":[0.0006245108,0.00019007646,0.0001980413,0.0016957493,0.00033977744,0.000010381675,0.01343947,0.0007074112,0.000943028,0.9766827,0.004268054,0.0009007488],"about_ca_topic_score_codex":0.00051072694,"about_ca_topic_score_gemma":0.0003799315,"teacher_disagreement_score":0.04426585,"about_ca_system_score_codex":0.00027579657,"about_ca_system_score_gemma":0.0006153777,"threshold_uncertainty_score":0.9994559},"labels":[],"label_agreement":null},{"id":"W7133083670","doi":"","title":"Holography and Koszul Duality in Quantum Field Theory","year":2024,"lang":"","type":"dissertation","venue":"TSpace","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Algebraic structure; Operator algebra; Vertex (graph theory); Duality (order theory); Associative property; Mathematical structure; Algebra over a field; Quantum field theory; Algebraic number; Laurent series","score_opus":0.02307329838474232,"score_gpt":0.36836342195005595,"score_spread":0.34529012356531363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133083670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9795681,0.007882016,0.00013943306,0.0005706506,0.004544593,0.0006527878,0.0000061154474,0.00008997597,0.006546317],"genre_scores_gemma":[0.9939698,0.0008853447,0.00012024407,0.00018542423,0.00025527374,0.000059699447,0.000035384404,0.000090746034,0.0043980884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99719715,0.00033482412,0.0006950435,0.00085845444,0.0004000313,0.0005144817],"domain_scores_gemma":[0.9974495,0.0013398114,0.00029598756,0.00064407225,0.000085867985,0.00018472591],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000829897,0.000639697,0.00088267913,0.00037189265,0.00013118677,0.00018309803,0.00031292738,0.0010509677,0.0006666032],"category_scores_gemma":[0.0007141337,0.0005944793,0.0002904799,0.0005238202,0.000109127475,0.000081361555,0.00014238208,0.0012988776,0.000028406752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031847678,0.0000864679,0.00015777619,0.0017996802,0.00017008434,0.00005238607,0.042758685,0.0000017694542,0.00007093893,0.95235735,0.0007184277,0.001507981],"study_design_scores_gemma":[0.00050057686,0.00022513694,0.0008146108,0.00087102887,0.00029431254,0.000010015171,0.02397286,0.0003208811,0.00043800942,0.9716421,0.00031874597,0.000591738],"about_ca_topic_score_codex":0.0004203504,"about_ca_topic_score_gemma":0.00018231168,"teacher_disagreement_score":0.019284755,"about_ca_system_score_codex":0.000046938716,"about_ca_system_score_gemma":0.00016237557,"threshold_uncertainty_score":0.99965066},"labels":[],"label_agreement":null},{"id":"W7133101443","doi":"","title":"Certain Cases of Hikita-Nakajima conjecture","year":2023,"lang":"","type":"dissertation","venue":"TSpace","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Isomorphism (crystallography); Conjecture; Quiver; Indecomposable module; Variety (cybernetics); Center (category theory); Spectrum (functional analysis); Affine variety","score_opus":0.049441102513545415,"score_gpt":0.37340210592288087,"score_spread":0.3239610034093354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133101443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9853719,0.0015698643,0.0001016307,0.00027250053,0.00704533,0.0011714178,0.000059121634,0.00020825156,0.004200019],"genre_scores_gemma":[0.94872355,0.0002907268,0.00032669434,0.000033128592,0.0006058021,0.00006752181,0.00032275618,0.00028550936,0.04934429],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99611616,0.00019840071,0.001167934,0.0008412953,0.00093184575,0.00074436946],"domain_scores_gemma":[0.99488854,0.0018265602,0.0014045908,0.0011750665,0.00047751915,0.00022771365],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00031105394,0.0009732328,0.0017140489,0.00032540382,0.0002514059,0.0000856559,0.0007214038,0.0012914554,0.0017733176],"category_scores_gemma":[0.0014906167,0.0009267365,0.0006805415,0.0007243176,0.00014503811,0.00007617304,0.00014477891,0.00087082,0.00014239052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00084833626,0.00033618437,0.00010290734,0.007190781,0.0014537795,0.00034893473,0.090675,0.0002033118,0.0014795127,0.88068134,0.013903724,0.0027761722],"study_design_scores_gemma":[0.002094337,0.0009272194,0.00040048588,0.0018747436,0.0015579385,0.00007028442,0.07284431,0.0003905426,0.0136982845,0.90311337,0.0013105561,0.0017179324],"about_ca_topic_score_codex":0.0016835838,"about_ca_topic_score_gemma":0.00040935987,"teacher_disagreement_score":0.04514427,"about_ca_system_score_codex":0.00014566629,"about_ca_system_score_gemma":0.0005534034,"threshold_uncertainty_score":0.9993183},"labels":[],"label_agreement":null},{"id":"W7133206448","doi":"10.2310/derm.1.2005.2088","title":"DELAYED READINGS OF PATCH TEST REACTIONS TO TOPICAL CORTICOSTEROIDS: LOW YIELD","year":2005,"lang":"en","type":"article","venue":"Dermatitis","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Yield (engineering); Patch test; Patch testing; Test (biology)","score_opus":0.022457566825356146,"score_gpt":0.27249931847786485,"score_spread":0.2500417516525087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133206448","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9868894,0.000020353742,0.005893749,0.0036885568,0.0003281765,0.00023189413,0.000018548162,0.000075026735,0.0028542823],"genre_scores_gemma":[0.9938273,0.0000100607,0.004343949,0.0011575565,0.00018810973,0.00002164968,0.0000027974086,0.000016408743,0.00043217346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905765,0.000015061525,0.00040243744,0.00014101497,0.0002022423,0.00018157304],"domain_scores_gemma":[0.99900293,0.00041710166,0.00010838149,0.0002842849,0.00008323265,0.00010406334],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00005032082,0.0001123146,0.00021667799,0.00004950981,0.000058072797,0.000024235678,0.00014864746,0.00008956719,0.0002713091],"category_scores_gemma":[0.00053380086,0.00010557775,0.00006834634,0.00012201898,0.000023275032,0.000107934204,0.00005274191,0.00011194568,0.000044757424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022830855,0.00055079575,0.0071537076,0.0003005593,0.00014372414,0.000024355131,0.007046954,0.000035388162,0.005097391,0.7766866,0.17971629,0.023221374],"study_design_scores_gemma":[0.0014656713,0.0006531911,0.021276707,0.0005875921,0.00016788201,0.00021277554,0.00045075078,0.0015934616,0.073244184,0.8179198,0.0815135,0.0009145103],"about_ca_topic_score_codex":0.00017739493,"about_ca_topic_score_gemma":0.00010604909,"teacher_disagreement_score":0.09820278,"about_ca_system_score_codex":0.000044995053,"about_ca_system_score_gemma":0.000020844242,"threshold_uncertainty_score":0.43053356},"labels":[],"label_agreement":null},{"id":"W7145343888","doi":"","title":"Lightcone expansions of conformal blocks in closed form","year":2020,"lang":"en","type":"article","venue":"Institutional Repositories DataBase (IRDB)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Institut Périmètre de physique théorique; Okinawa Institute of Science and Technology Graduate University","keywords":"Conformal map; Hypergeometric function; Scalar (mathematics); Domain (mathematical analysis); Gaussian; Hypergeometric distribution","score_opus":0.04365168667594612,"score_gpt":0.2891120448605163,"score_spread":0.24546035818457015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7145343888","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98861295,0.00014385859,0.003590081,0.00047218817,0.002216887,0.00036573922,0.00022973458,0.000089502406,0.0042790724],"genre_scores_gemma":[0.99587446,0.000014545272,0.0031890357,0.00014115068,0.0005710941,0.00002667966,0.00010735341,0.000013771987,0.000061880564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982244,0.000027045933,0.0006720234,0.00028597828,0.0005389678,0.00025161006],"domain_scores_gemma":[0.9988858,0.00020646726,0.00020238989,0.000368738,0.00017439052,0.00016221852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012895865,0.00020324465,0.00036354718,0.00006812365,0.00017530957,0.000031887892,0.00029358148,0.00011762552,0.0000721673],"category_scores_gemma":[0.00072398956,0.00018035252,0.00010229934,0.00030460948,0.00019657575,0.0004964544,0.00021940279,0.0002560988,0.0000055132678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019563704,0.00009901261,0.00080181746,0.00011931511,0.000045840763,0.00007342868,0.0009771002,0.000035512378,0.0041952273,0.99206775,0.0012346861,0.00015465418],"study_design_scores_gemma":[0.008851716,0.0008540282,0.0032010495,0.0011040625,0.00027439036,0.000299446,0.0016751831,0.0021381471,0.21225767,0.6968862,0.07073882,0.0017192905],"about_ca_topic_score_codex":0.0001887238,"about_ca_topic_score_gemma":0.00003748613,"teacher_disagreement_score":0.29518157,"about_ca_system_score_codex":0.00007763731,"about_ca_system_score_gemma":0.000398583,"threshold_uncertainty_score":0.7354562},"labels":[],"label_agreement":null},{"id":"W7151138613","doi":"","title":"LOW ELEMENTS IN DOMINANT SHI REGIONS","year":2025,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Bijection, injection and surjection; Complement (music); Affine transformation; Section (typography); Type (biology)","score_opus":0.021732981128308765,"score_gpt":0.27192530747200944,"score_spread":0.2501923263437007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7151138613","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63726056,0.0014210729,0.18332604,0.017656159,0.0029947856,0.003024338,0.0001838265,0.0005482824,0.15358491],"genre_scores_gemma":[0.947775,0.0004066068,0.034750797,0.000101700316,0.0000404371,0.00019631941,0.00015624768,0.000047576894,0.016525323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9948475,0.0027440495,0.00080865965,0.00075392524,0.00043440377,0.00041149402],"domain_scores_gemma":[0.99438447,0.0016851223,0.0005286221,0.002375588,0.00090283575,0.0001233655],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0033221736,0.0003761264,0.0005499209,0.00026064727,0.00020874117,0.00019967588,0.0014096054,0.00040281008,0.00012144374],"category_scores_gemma":[0.0022040694,0.00038631455,0.0002444057,0.00038188277,0.00012418654,0.000072009156,0.0018470408,0.00082829397,0.0000101368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012065691,0.00041518672,0.00047623564,0.00028128843,0.000057216967,0.0000050186354,0.0037840568,0.000017055336,0.00007409094,0.9887597,0.0016826359,0.0044354554],"study_design_scores_gemma":[0.0008483743,2.5079112e-7,0.00045354894,0.0037094825,0.0000538185,0.0000023630355,0.00010763968,0.002809077,0.0096658,0.9788507,0.003089433,0.0004094722],"about_ca_topic_score_codex":0.0007594984,"about_ca_topic_score_gemma":0.00202141,"teacher_disagreement_score":0.31051442,"about_ca_system_score_codex":0.00022794362,"about_ca_system_score_gemma":0.000403103,"threshold_uncertainty_score":0.99985886},"labels":[],"label_agreement":null},{"id":"W983395007","doi":"10.1016/s1570-7954(08)00209-x","title":"Quivers and Representations","year":2009,"lang":"en","type":"book-chapter","venue":"Handbook of algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Computer science","score_opus":0.0323438064925849,"score_gpt":0.27926972642712566,"score_spread":0.24692591993454077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W983395007","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0021486059,0.0053966646,0.00054886827,0.00016712346,0.00056225737,0.00067708216,0.0000348578,0.00012884395,0.9903357],"genre_scores_gemma":[0.02991906,0.0034979326,0.009805415,0.00027781763,0.0007704748,0.000016231852,0.000048542657,0.00021126817,0.9554533],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988169,0.000011456416,0.00038876358,0.0003190646,0.00030661852,0.00015720389],"domain_scores_gemma":[0.99884486,0.0001910488,0.00032452442,0.00045010072,0.00009780421,0.00009167608],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0000710735,0.0002793834,0.0005100575,0.000118133765,0.0000736938,0.000022241837,0.0001722651,0.0002993413,0.0005250099],"category_scores_gemma":[0.000050790615,0.0002653474,0.0001653325,0.000017376793,0.00015668063,0.000060494276,0.00008447403,0.00022163906,0.000011088706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002004603,0.000008646634,0.0000026281145,0.000061311075,0.00010048299,0.0000071071804,0.00023030682,2.6988383e-7,0.000025152125,0.9901517,0.0046158335,0.004776504],"study_design_scores_gemma":[0.00041293123,0.00010004764,0.00001170023,0.00042278168,0.00017434932,0.000011799369,0.000016040194,0.0000028850677,0.0004028908,0.9898724,0.008329986,0.00024220475],"about_ca_topic_score_codex":0.000009105225,"about_ca_topic_score_gemma":0.0000050668223,"teacher_disagreement_score":0.034882437,"about_ca_system_score_codex":0.00002753819,"about_ca_system_score_gemma":0.00006112428,"threshold_uncertainty_score":0.99997985},"labels":[],"label_agreement":null},{"id":"W986595060","doi":"10.1007/s00023-013-0297-x","title":"The Idempotents of the TL n -Module $${\\otimes^{n}\\mathbb{C}2}$$ ⊗ n C 2 in Terms of Elements of $${{\\rm U}_{q} \\mathfrak{sl}_2}$$ U q sl 2","year":2013,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Indecomposable module; Mathematics; Combinatorics; Endomorphism; Root of unity; Hamiltonian (control theory); Physics; Algebra over a field; Quantum; Pure mathematics; Quantum mechanics","score_opus":0.0182001357729491,"score_gpt":0.2708255399029476,"score_spread":0.2526254041299985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W986595060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9948955,0.00035159147,0.000049193848,0.00044505802,0.00050119316,0.00082113943,0.000022878996,0.000020720889,0.0028926872],"genre_scores_gemma":[0.9985665,0.000106402054,0.00049234077,0.000086747794,0.000074102085,0.000046948593,0.0000036091494,0.00004372095,0.00057963637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99692976,0.00020487489,0.0013258455,0.0002996926,0.00076600176,0.00047383795],"domain_scores_gemma":[0.99715894,0.0004663641,0.0009351213,0.001132543,0.00022800994,0.00007904392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060782995,0.0003072403,0.0006450801,0.00010128981,0.00013182186,0.000027430056,0.0011369411,0.00016940318,0.00011490981],"category_scores_gemma":[0.0004060158,0.00018135543,0.00034186675,0.0003734522,0.0003241448,0.00018359334,0.00043126786,0.00026885132,0.000012576776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019794538,0.0010289303,0.08070199,0.001064965,0.00068611396,0.000005823204,0.0052693295,0.00008159937,0.009720482,0.87424296,0.015330912,0.011668966],"study_design_scores_gemma":[0.001016006,0.0001429845,0.042837184,0.0002644982,0.000058368325,0.000005462821,0.00038001008,0.00052074174,0.013239713,0.94070846,0.0006028552,0.00022369534],"about_ca_topic_score_codex":0.00032962725,"about_ca_topic_score_gemma":0.000059421007,"teacher_disagreement_score":0.066465534,"about_ca_system_score_codex":0.000043303182,"about_ca_system_score_gemma":0.00007766526,"threshold_uncertainty_score":0.73954594},"labels":[],"label_agreement":null}]}