{"meta":{"query_hash":"268355d4645a","filters":{"topic":"Advanced Algebra and Geometry"},"cohort_total":907,"direct_labels_cover":1,"predictions_cover":907,"exported":907,"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/268355d4645a","api":"https://metacan.xera.ac/api/v1/cohort?topic=Advanced+Algebra+and+Geometry"},"results":[{"id":"W1112490223","doi":"10.1007/s40316-015-0029-3","title":"Weighted Hodge cohomology of iterated fibred cusp metrics","year":2015,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Advanced Algebra and Geometry","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":"Université du Québec à Montréal","funders":"","keywords":"Fibered knot; Mathematics; Cohomology; Cusp (singularity); Intersection homology; Iterated function; Pure mathematics; Čech cohomology; De Rham cohomology; Equivariant cohomology; Mathematical analysis; Geometry","score_opus":0.042052326795273,"score_gpt":0.29592845448499305,"score_spread":0.25387612768972007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1112490223","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9401336,0.0004119513,0.014527838,0.00046891643,0.00010680614,0.000018088713,0.00011069262,0.00010385349,0.04411825],"genre_scores_gemma":[0.97676426,0.00021296555,0.0024121625,0.000049254893,0.00012891971,0.000010304741,0.000098540746,0.00006347662,0.020260053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962604,0.000051688177,0.000013507039,0.000052001942,0.00013456865,0.00012228693],"domain_scores_gemma":[0.99926144,0.00008707968,0.000110625115,0.00007241299,0.00015716058,0.00031129966],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051224837,0.00076572894,0.0010145633,0.0039037236,0.0021407215,0.003312106,0.0010081456,0.00089540234,0.0069829435],"category_scores_gemma":[0.0011739178,0.00047859916,0.00057807355,0.0013994797,0.002535173,0.002475902,0.0019109315,0.0013719146,0.00061960507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064554995,0.000046937086,0.001589978,0.000036835892,0.000022033466,0.00042870862,0.0006655812,0.0027239711,0.0034751105,0.9844758,0.00071176974,0.0057586697],"study_design_scores_gemma":[0.000027091764,0.00004370511,0.009446072,0.000033448247,0.00002867864,0.0005615099,0.00044530706,0.027500974,0.0014045723,0.957087,0.003363836,0.000057830162],"about_ca_topic_score_codex":0.017484916,"about_ca_topic_score_gemma":0.024628775,"teacher_disagreement_score":0.017484916,"about_ca_system_score_codex":0.0030896007,"about_ca_system_score_gemma":0.0008722479,"threshold_uncertainty_score":0.034766257},"labels":[],"label_agreement":null},{"id":"W11264622","doi":"10.1023/a:1021754801802","title":"Un revêtement de l'arbre de GL <sub>2</sub> d'un corps local","year":2003,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Canadian Nautical Research Society","funders":"","keywords":"Mathematics; Pure mathematics; Field (mathematics); Class (philosophy); Local field; Combinatorics; Class number; Tree (set theory); Residue field; Geometry","score_opus":0.015770281625652194,"score_gpt":0.26784457927325106,"score_spread":0.25207429764759887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W11264622","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8836554,0.0013358794,0.046711918,0.0030759468,0.00034706213,0.00003175097,0.0002893349,0.00045143956,0.06410124],"genre_scores_gemma":[0.9557234,0.0008721986,0.012594889,0.00023025979,0.0004193948,0.000042865704,0.0003720389,0.00012497666,0.02961989],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948114,0.00007375103,0.000010085324,0.00012919068,0.0001748215,0.00013099945],"domain_scores_gemma":[0.9986363,0.00046752515,0.00012899522,0.00011929744,0.00017382539,0.00047399625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084703893,0.0011235405,0.0011271467,0.002430566,0.0032614588,0.0045852307,0.0008588138,0.0017829846,0.008598504],"category_scores_gemma":[0.002292749,0.0009517069,0.00089940056,0.0009925432,0.0056472695,0.0045680692,0.0026467724,0.0066497503,0.0014841096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022176364,0.000085242835,0.0018268633,0.00014901205,0.00004890525,0.0015614826,0.0013147847,0.0017104311,0.01176001,0.9639789,0.0030009353,0.014341696],"study_design_scores_gemma":[0.00035452459,0.0005026447,0.025246909,0.0002447056,0.00012318214,0.009302454,0.003901203,0.03917262,0.028293759,0.7983346,0.09428061,0.00024271285],"about_ca_topic_score_codex":0.0053101014,"about_ca_topic_score_gemma":0.0029395812,"teacher_disagreement_score":0.008598504,"about_ca_system_score_codex":0.0025611876,"about_ca_system_score_gemma":0.0005652323,"threshold_uncertainty_score":0.028764844},"labels":[],"label_agreement":null},{"id":"W1482302211","doi":"10.1090/s0002-9939-03-07261-7","title":"A generalization of a result of Kazhdan and Lusztig","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Division of Mathematical Sciences; National University of Singapore; National Security Agency; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Nilpotent; Generalization; Pure mathematics; Orbit (dynamics); Lie algebra; Field (mathematics); Lie group; Simple (philosophy); Nilpotent group; Algebra over a field; Group (periodic table); Combinatorics; Physics; Mathematical analysis","score_opus":0.0177838434142294,"score_gpt":0.2844394132889752,"score_spread":0.2666555698747458,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1482302211","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.112886064,0.0041231825,0.5216844,0.00753878,0.0040989807,0.00037517556,0.0011787182,0.0014454344,0.34666926],"genre_scores_gemma":[0.7713022,0.0031726586,0.12077718,0.0045021824,0.002837623,0.00038992355,0.001112728,0.0005648057,0.09534068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904877,0.00014029353,0.00006250456,0.0003275623,0.0002587295,0.00016210436],"domain_scores_gemma":[0.9991854,0.00015770592,0.000062446125,0.00021701943,0.00024308037,0.00013440955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090547063,0.001274015,0.0012507448,0.00245494,0.002718016,0.0018091679,0.0012358581,0.0008587885,0.010494695],"category_scores_gemma":[0.0024094011,0.00046607395,0.0027052849,0.0013073668,0.0028163358,0.005933561,0.006896241,0.0032336726,0.0034479615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006360196,0.000067271685,0.0004844961,0.00015765974,0.000046668265,0.0002720087,0.00088487315,0.0012595884,0.0024410961,0.9715898,0.006809391,0.015923588],"study_design_scores_gemma":[0.000027787835,0.00006658471,0.00046724558,0.000027527161,0.000031999807,0.00035120634,0.00018261452,0.0032871054,0.0011478625,0.9719364,0.022446228,0.000027482098],"about_ca_topic_score_codex":0.0017340214,"about_ca_topic_score_gemma":0.0012147606,"teacher_disagreement_score":0.010494695,"about_ca_system_score_codex":0.0013961184,"about_ca_system_score_gemma":0.0009915909,"threshold_uncertainty_score":0.035108328},"labels":[],"label_agreement":null},{"id":"W1487163435","doi":"10.1090/s0002-9939-07-08784-9","title":"Volume of truncated fundamental domains","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; University of Toronto","keywords":"Mathematics; Truncation (statistics); Function (biology); Constant (computer programming); Domain (mathematical analysis); Cusp (singularity); Mathematical analysis; Polynomial; Volume (thermodynamics); Exponential function; Analytic function; Riemann zeta function; Pure mathematics; Geometry; Physics; Quantum mechanics","score_opus":0.01627313045546418,"score_gpt":0.2962117487804711,"score_spread":0.2799386183250069,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1487163435","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85995656,0.0011375158,0.075745806,0.00107649,0.00011696164,0.000022510883,0.00034969652,0.0001284222,0.061466023],"genre_scores_gemma":[0.98665255,0.00036378714,0.004022613,0.000050099625,0.00014075277,0.000022833392,0.00020491735,0.00004649211,0.00849593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996082,0.000054285483,0.000012223922,0.00008970055,0.0001385726,0.00009692267],"domain_scores_gemma":[0.9988502,0.0004207478,0.00015509698,0.000110445006,0.00018658696,0.00027677702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006505508,0.00030721072,0.00045369036,0.0018708265,0.0006528738,0.0022404331,0.00095855986,0.00045257763,0.0033237291],"category_scores_gemma":[0.003885292,0.00018953445,0.0003603447,0.0004859188,0.002397544,0.0031308357,0.0018811031,0.0011524688,0.00030188984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002618311,0.000007551336,0.0004603995,0.00002473783,0.000004584569,0.000043330125,0.00015708308,0.0022733067,0.00141199,0.9915047,0.00040631084,0.0036797132],"study_design_scores_gemma":[0.000012079225,0.000017343596,0.001116545,0.000019181432,0.0000052570713,0.0002021477,0.00013389974,0.019371578,0.0015785473,0.97358996,0.0039410745,0.000012385952],"about_ca_topic_score_codex":0.0006558348,"about_ca_topic_score_gemma":0.0003674734,"teacher_disagreement_score":0.0033237291,"about_ca_system_score_codex":0.0017961962,"about_ca_system_score_gemma":0.0004397289,"threshold_uncertainty_score":0.013032436},"labels":[],"label_agreement":null},{"id":"W1488869757","doi":"10.1090/s0002-9939-2010-10459-8","title":"Drinfeld modular forms modulo 𝔭","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Modulo; Modular design; Arithmetic; Modular form; Computer science; Mathematics; Programming language; Pure mathematics; Discrete mathematics","score_opus":0.012241428240138392,"score_gpt":0.279620195791048,"score_spread":0.2673787675509096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1488869757","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08679008,0.00552778,0.13370354,0.006082878,0.00185538,0.000067163804,0.0007496099,0.0003735287,0.7648501],"genre_scores_gemma":[0.7573479,0.004143643,0.04401183,0.0015814271,0.0024553926,0.000113317255,0.0006964075,0.00025078916,0.18939915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992508,0.0001611767,0.0000339059,0.00018602987,0.0002500025,0.00011792006],"domain_scores_gemma":[0.9995821,0.000099696575,0.00005203572,0.0000733503,0.0001354143,0.00005743971],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00098592,0.0007472268,0.00048033177,0.0016678505,0.0011746252,0.0019960525,0.000691134,0.0008022999,0.012264139],"category_scores_gemma":[0.0017928026,0.0003391823,0.0007732807,0.0010515066,0.002669905,0.0038341132,0.0015817365,0.0021811384,0.0030974227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005190658,0.0000030273145,0.00003031329,0.000013450966,0.000002133865,0.000016801927,0.00006689463,0.00013298714,0.00016387583,0.9940058,0.0020276175,0.0035317305],"study_design_scores_gemma":[0.000007937369,0.000010234407,0.00008634733,0.000010948943,0.0000029620774,0.00006384979,0.00003201269,0.000954626,0.00026702858,0.97821325,0.020344118,0.000006585886],"about_ca_topic_score_codex":0.0013616865,"about_ca_topic_score_gemma":0.0010821456,"teacher_disagreement_score":0.012264139,"about_ca_system_score_codex":0.00222797,"about_ca_system_score_gemma":0.0007131035,"threshold_uncertainty_score":0.041027606},"labels":[],"label_agreement":null},{"id":"W1489044820","doi":"","title":"DIFFERENCES OF THE SELBERG TRACE FORMULA AND SELBERG TYPE ZETA FUNCTIONS FOR HILBERT MODULAR SURFACES (Automorphic forms, automorphic representations and related topics)","year":2010,"lang":"en","type":"article","venue":"Kyoto University Research Information Repository (Kyoto University)","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Selberg trace formula; Langlands–Shahidi method; Mathematics; TRACE (psycholinguistics); Automorphic L-function; Automorphic form; Pure mathematics; Arithmetic zeta function; Converse theorem; Algebra over a field; Riemann zeta function; Arithmetic; Linguistics","score_opus":0.028868821104142888,"score_gpt":0.27213505009014827,"score_spread":0.2432662289860054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1489044820","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8230979,0.002150511,0.09732436,0.0031476957,0.00091501756,0.00005422779,0.0002480792,0.00027771204,0.07278456],"genre_scores_gemma":[0.9728829,0.0006222552,0.008206171,0.00031919678,0.0006881375,0.0000552997,0.00017751836,0.00013664244,0.016911851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992932,0.00019407006,0.000043665375,0.00014308833,0.00020518753,0.000120729295],"domain_scores_gemma":[0.9983747,0.0005894942,0.0002250348,0.00012765752,0.00029279452,0.00039026816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020249016,0.00095686584,0.0012534173,0.004196842,0.0014303671,0.0035931007,0.0022590926,0.0015768606,0.0074480134],"category_scores_gemma":[0.0064000566,0.000517669,0.0010595128,0.0017389405,0.0041052285,0.008253413,0.002609749,0.002915836,0.0007362966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050863808,0.000029045157,0.00036187604,0.000019160327,0.000008600746,0.000052628853,0.0001501367,0.0004329939,0.0007961155,0.99452037,0.00042678084,0.0031514904],"study_design_scores_gemma":[0.000019181232,0.000015056713,0.0003555854,0.000008477749,0.000007094566,0.00008662219,0.000048290225,0.0052357824,0.00039567405,0.99321085,0.00060389825,0.000013478614],"about_ca_topic_score_codex":0.0008362919,"about_ca_topic_score_gemma":0.0006676895,"teacher_disagreement_score":0.0074480134,"about_ca_system_score_codex":0.002223445,"about_ca_system_score_gemma":0.0009244626,"threshold_uncertainty_score":0.024916112},"labels":[],"label_agreement":null},{"id":"W1493123414","doi":"10.37236/438","title":"Invariant and Coinvariant Spaces for the Algebra of Symmetric Polynomials in Non-Commuting Variables","year":2010,"lang":"fr","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Algebra and Geometry","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; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Combinatorics; Mathematics; Tensor product; Invariant (physics); Commutative property; Algebra over a field; Discrete mathematics; Mathematical physics; Pure mathematics","score_opus":0.011371058364893539,"score_gpt":0.26612105270224173,"score_spread":0.2547499943373482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1493123414","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78108627,0.00088925223,0.17903884,0.00049424334,0.0002744137,0.000058835838,0.00019718359,0.00020304379,0.037757903],"genre_scores_gemma":[0.9760637,0.00045634407,0.011237755,0.00009002575,0.00018778803,0.00004974853,0.00019346176,0.000057838344,0.011663311],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924856,0.00014743434,0.000041405074,0.00014459221,0.00021342521,0.00020451454],"domain_scores_gemma":[0.9989736,0.000269119,0.00026858057,0.00009942392,0.00016994715,0.00021942702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011436527,0.00075231725,0.0005476557,0.0021465498,0.0015124967,0.0025813696,0.0011918651,0.0005448628,0.0071046147],"category_scores_gemma":[0.0012037595,0.0002691369,0.0010800024,0.0014941279,0.0040618,0.0034469177,0.0015260283,0.0014346575,0.00090677437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001752651,0.00002324132,0.00030651563,0.00002566637,0.0000071674203,0.00008319124,0.00030489554,0.00073732005,0.0011046476,0.99432063,0.00015211005,0.0029170837],"study_design_scores_gemma":[0.000013995962,0.000062461,0.0006041204,0.000013408653,0.000012694126,0.00015280697,0.00022794699,0.01082439,0.0027301335,0.9829457,0.0023883253,0.000024135577],"about_ca_topic_score_codex":0.0013659761,"about_ca_topic_score_gemma":0.0010176522,"teacher_disagreement_score":0.0071046147,"about_ca_system_score_codex":0.0012173012,"about_ca_system_score_gemma":0.00097571063,"threshold_uncertainty_score":0.023767292},"labels":[],"label_agreement":null},{"id":"W1493995528","doi":"10.1090/s0894-0347-02-00410-1","title":"Functoriality for the exterior square of GL₄ and the symmetric fourth of GL₂","year":2002,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":695,"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; Clay Mathematics Institute; National Science Foundation","keywords":"Algorithm; Computer science; Artificial intelligence; Mathematics","score_opus":0.030998482944796967,"score_gpt":0.28999592273196967,"score_spread":0.2589974397871727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1493995528","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2603656,0.0015998024,0.4411499,0.0035793062,0.002266617,0.00010689268,0.0004558817,0.001223623,0.28925243],"genre_scores_gemma":[0.9164225,0.0007710631,0.03308245,0.0008602647,0.0008507346,0.00006976256,0.00032013137,0.00050866266,0.047114525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857557,0.0002274333,0.0000797516,0.00038357728,0.00047568767,0.00025801078],"domain_scores_gemma":[0.9984262,0.00044927155,0.00013400843,0.00019457095,0.00054909714,0.00024690127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013612126,0.00073116785,0.00056710566,0.0013476606,0.0019262689,0.0021191784,0.0007266426,0.00079794717,0.014141927],"category_scores_gemma":[0.00265142,0.00037981698,0.0014523877,0.0005366799,0.0042524766,0.0045410995,0.0039836112,0.0031005677,0.0028230357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015553147,0.000013391639,0.00022204987,0.00003866026,0.000008063859,0.0001259521,0.00037005468,0.00014612274,0.0010238744,0.9904081,0.0011414723,0.0064867516],"study_design_scores_gemma":[0.00001703501,0.00006802233,0.0006943473,0.000019377138,0.00001651652,0.0004208013,0.0002468223,0.0019332712,0.0033240905,0.9751448,0.018087134,0.000027855274],"about_ca_topic_score_codex":0.00096273015,"about_ca_topic_score_gemma":0.00065110094,"teacher_disagreement_score":0.014141927,"about_ca_system_score_codex":0.0010090556,"about_ca_system_score_gemma":0.000615349,"threshold_uncertainty_score":0.0473094},"labels":[],"label_agreement":null},{"id":"W1500204061","doi":"10.1063/1.3043871","title":"Decomposition of the Quantization Representation of an SU(2) Action","year":2008,"lang":"en","type":"article","venue":"AIP conference proceedings","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Mathematics; Unitary representation; Hilbert space; Pure mathematics; Unitary state; Multiplicity (mathematics); Holomorphic function; Subspace topology; Quantization (signal processing); Irreducible representation; Operator (biology); Lie group; Mathematical analysis; Algorithm","score_opus":0.09311035261224763,"score_gpt":0.36599917690884226,"score_spread":0.2728888242965946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1500204061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61503494,0.001179955,0.24200362,0.0018765519,0.00075326365,0.00023317478,0.0004931203,0.0005539184,0.13787138],"genre_scores_gemma":[0.9381515,0.00043282856,0.035052337,0.00046240925,0.00022856888,0.00011112203,0.00035224552,0.00017615182,0.025032744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972695,0.000043480373,0.000011429193,0.000035541838,0.00009934872,0.000083191786],"domain_scores_gemma":[0.9998752,0.000013233053,0.000014743769,0.000020820638,0.000033538538,0.000042502998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038379454,0.0005533511,0.00052546186,0.0008604024,0.0008302037,0.0015469135,0.0006258675,0.00087290385,0.010590515],"category_scores_gemma":[0.00039511482,0.00025194063,0.0004365185,0.00043479586,0.0014554954,0.0014393274,0.0009153089,0.00094801956,0.001151642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042265307,0.00004020649,0.00015807398,0.000026134532,0.000005381036,0.00015800781,0.00023613364,0.0048551206,0.006369662,0.98110425,0.0012714817,0.005733215],"study_design_scores_gemma":[0.00003834364,0.00007727898,0.0005592279,0.000026484415,0.0000061545024,0.0001422657,0.00020719522,0.05663332,0.0015491775,0.9354345,0.005290588,0.000035511242],"about_ca_topic_score_codex":0.0014290988,"about_ca_topic_score_gemma":0.0008484356,"teacher_disagreement_score":0.010590515,"about_ca_system_score_codex":0.0008645662,"about_ca_system_score_gemma":0.00076879974,"threshold_uncertainty_score":0.035428822},"labels":[],"label_agreement":null},{"id":"W1508279448","doi":"10.2140/ant.2016.10.597","title":"Regularized theta lifts and (1,1)-currents on GSpin Shimura varieties","year":2016,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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":"Lift (data mining); Shimura variety; Quadratic equation; Vector space; Algebra over a field; Space (punctuation)","score_opus":0.023869545325799803,"score_gpt":0.30141868351116957,"score_spread":0.27754913818536975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1508279448","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.954413,0.00032636325,0.024337457,0.0003834933,0.0002244853,0.000036872647,0.00007311041,0.00017953171,0.02002569],"genre_scores_gemma":[0.984162,0.00028955546,0.006277967,0.00008704285,0.00023551896,0.000029721847,0.000093256975,0.00005812976,0.008766812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978584,0.000032540946,0.000010819083,0.000039395545,0.000066489345,0.00006482925],"domain_scores_gemma":[0.99978405,0.000019238605,0.00003581448,0.000024117364,0.000036248573,0.00010065179],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004105657,0.00058096787,0.00044937627,0.0021062014,0.0009887816,0.0016918975,0.0005032377,0.0005366875,0.0036480192],"category_scores_gemma":[0.0006200641,0.00025516402,0.00064258196,0.0005738296,0.0023135836,0.002441486,0.0018867446,0.0017177745,0.0005648534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008778322,0.000052905812,0.0010351868,0.000040189017,0.0000115213315,0.00054168573,0.00084198714,0.002040015,0.008082259,0.97840786,0.00047955927,0.008379003],"study_design_scores_gemma":[0.00006079724,0.00017930672,0.0021738585,0.00003773788,0.000023332883,0.0010039556,0.00083706743,0.012205753,0.0043095937,0.9731852,0.0059257285,0.000057684603],"about_ca_topic_score_codex":0.00040822657,"about_ca_topic_score_gemma":0.00033779678,"teacher_disagreement_score":0.0036480192,"about_ca_system_score_codex":0.0006336497,"about_ca_system_score_gemma":0.0002926214,"threshold_uncertainty_score":0.012203813},"labels":[],"label_agreement":null},{"id":"W1512250625","doi":"10.1090/s0002-9947-02-02969-0","title":"Applications of Langlands’ functorial lift of odd orthogonal groups","year":2002,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"National Science Foundation","keywords":"Mathematics; Lift (data mining); Pure mathematics; Square-integrable function; Homomorphism; Unitary state; Algebra over a field","score_opus":0.02020772207212502,"score_gpt":0.273401193645447,"score_spread":0.253193471573322,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1512250625","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2870903,0.0015877128,0.43798319,0.0035112107,0.0021430014,0.000097926284,0.00035549802,0.0011152971,0.26611584],"genre_scores_gemma":[0.88225996,0.0009196151,0.06315917,0.00065842376,0.0006249677,0.000065170556,0.00022494534,0.0003705056,0.05171718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994259,0.00012000579,0.00003412697,0.000117807176,0.00015948479,0.00014268691],"domain_scores_gemma":[0.9995772,0.00009476919,0.00003072969,0.0000934048,0.000104077735,0.000099884426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086031517,0.00069158705,0.000518842,0.0015519202,0.0015549044,0.0015059592,0.000547739,0.0004513885,0.0070353467],"category_scores_gemma":[0.0014610335,0.00028544007,0.0013407462,0.00055528356,0.0021917536,0.002595612,0.0038807567,0.0020577074,0.0011661807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028377404,0.000017775357,0.00021366251,0.000036626763,0.0000074933923,0.00014436201,0.000395392,0.00040029606,0.0017837663,0.983922,0.0010358174,0.012014432],"study_design_scores_gemma":[0.000019665758,0.000046302397,0.0004259028,0.000019342213,0.000013355974,0.00022442463,0.00019618282,0.0034900457,0.0027763734,0.96965605,0.023107795,0.000024502713],"about_ca_topic_score_codex":0.0013996904,"about_ca_topic_score_gemma":0.0011752986,"teacher_disagreement_score":0.0070353467,"about_ca_system_score_codex":0.0012339448,"about_ca_system_score_gemma":0.0005390638,"threshold_uncertainty_score":0.02353555},"labels":[],"label_agreement":null},{"id":"W1516669374","doi":"10.1090/s1088-4165-01-00143-1","title":"Correction to: The closure diagrams for nilpotent orbits of the real forms EVI and EVII of 𝐄₇","year":2001,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Mathematics; Closure (psychology); Nilpotent; Calculus (dental); Algebra over a field; Pure mathematics; Law; Medicine; Orthodontics; Political science","score_opus":0.029045122983460965,"score_gpt":0.3355634713995029,"score_spread":0.3065183484160419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1516669374","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00053668243,0.0010145715,0.0018940155,0.04158145,0.94623286,0.000024964489,0.0010680516,0.0006311151,0.0070163105],"genre_scores_gemma":[0.080208465,0.006975471,0.011261538,0.04778215,0.41436958,0.00021330357,0.0041265734,0.003178663,0.43188426],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976801,0.00033123788,0.00038667797,0.0004103921,0.0008569554,0.00033471212],"domain_scores_gemma":[0.9815338,0.00290639,0.0010090636,0.0019142455,0.011566743,0.001069806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021338155,0.0020917123,0.0018833104,0.0040541915,0.003933458,0.004005103,0.0030912962,0.005270308,0.07857492],"category_scores_gemma":[0.033976097,0.0011980445,0.0015588995,0.003263653,0.0029415805,0.0046285316,0.0018175227,0.0082443515,0.025318693],"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":[0.000056084195,0.000009025791,0.00008826254,0.00018532187,0.000017950428,0.00016745119,0.00008200834,0.000086199936,0.00009563819,0.010820827,0.98159754,0.006793642],"study_design_scores_gemma":[0.00007061225,0.000029999503,0.0009849281,0.00014961463,0.000039044313,0.000681934,0.00011598849,0.00068563764,0.00057916815,0.013479966,0.98312366,0.000059501184],"about_ca_topic_score_codex":0.011439614,"about_ca_topic_score_gemma":0.0134073105,"teacher_disagreement_score":0.07857492,"about_ca_system_score_codex":0.004842348,"about_ca_system_score_gemma":0.003966094,"threshold_uncertainty_score":0.26285928},"labels":[],"label_agreement":null},{"id":"W1517520400","doi":"10.1016/j.jalgebra.2015.10.026","title":"Twisted strong Macdonald theorems and adjoint orbits","year":2015,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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; National Science Foundation","keywords":"Mathematics; Subalgebra; Twist; Cohomology; Endomorphism; Automorphism; Identity (music); Combinatorics; Connection (principal bundle); Center (category theory); Nilpotent; Pure mathematics; Algebra over a field; Physics; Geometry; Crystallography","score_opus":0.07128778160902581,"score_gpt":0.34451704250793125,"score_spread":0.2732292608989054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1517520400","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5665702,0.0026828835,0.17171328,0.009769151,0.0022611113,0.0000772404,0.0005715614,0.0005482033,0.24580641],"genre_scores_gemma":[0.9566316,0.0007371602,0.0100458115,0.0007233015,0.0011181249,0.000050917,0.00020160893,0.00016578964,0.030325528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917233,0.00021390752,0.000047119876,0.00015014749,0.00025602724,0.00016052836],"domain_scores_gemma":[0.99844956,0.0005037494,0.00024368304,0.0002401404,0.00023172396,0.00033113503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015755855,0.0012959846,0.0011236394,0.002969163,0.002741501,0.004467067,0.0014720178,0.001740017,0.012198567],"category_scores_gemma":[0.0040192166,0.00076892436,0.0012012001,0.0017950116,0.005731255,0.009790119,0.004821164,0.004267981,0.0011098075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013450641,0.000007585666,0.00007412847,0.00000918695,0.0000026603775,0.000045516037,0.000094709714,0.00008670463,0.00020578616,0.99819475,0.00041547001,0.0008499758],"study_design_scores_gemma":[0.0000080998825,0.0000034737568,0.00006491989,0.0000040181462,0.0000029916823,0.00005945669,0.000031304025,0.0007211887,0.000113082126,0.9982663,0.0007202471,0.0000050239237],"about_ca_topic_score_codex":0.0007956594,"about_ca_topic_score_gemma":0.00088630506,"teacher_disagreement_score":0.012198567,"about_ca_system_score_codex":0.0015156311,"about_ca_system_score_gemma":0.00076779746,"threshold_uncertainty_score":0.04080826},"labels":[],"label_agreement":null},{"id":"W1519223973","doi":"10.1112/jlms.12045","title":"Critical dynamics of variable-separated affine correspondences","year":2017,"lang":"en","type":"preprint","venue":"Journal of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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":"York University","funders":"","keywords":"Mathematics; Affine transformation; Bounded function; Holomorphic function; Property (philosophy); Pure mathematics; Variable (mathematics); Orbit (dynamics); Affine plane (incidence geometry); Finite set; Space (punctuation); Combinatorics; Mathematical analysis; Computer science","score_opus":0.03954341956279213,"score_gpt":0.3588953950994068,"score_spread":0.3193519755366147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1519223973","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94234204,0.00025671168,0.032081693,0.00043585146,0.000046856232,0.000034641536,0.00009640285,0.00008077691,0.024625039],"genre_scores_gemma":[0.9940897,0.00009214101,0.002178427,0.000029678977,0.00002180414,0.000017451897,0.000049191287,0.000016814309,0.003504801],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998029,0.000024816618,0.000007168538,0.000040022493,0.00004819915,0.00007703628],"domain_scores_gemma":[0.99948275,0.00010286999,0.0001314434,0.000046914007,0.00006507839,0.00017099106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027834764,0.00037449616,0.00037615938,0.0015282204,0.0014837091,0.0017071319,0.00051798834,0.0007360988,0.0056760544],"category_scores_gemma":[0.0016583832,0.00019056225,0.0003692804,0.00047762113,0.0017836773,0.0023320199,0.0018543536,0.0008139349,0.0003288591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051035204,0.000028230774,0.0014591422,0.000021200853,0.0000088892575,0.0003121584,0.0004431346,0.005204973,0.004171864,0.98478925,0.00048714204,0.0030229834],"study_design_scores_gemma":[0.00004284495,0.000088881425,0.0022869185,0.000036174883,0.0000143593115,0.0004507366,0.0011755544,0.07467915,0.004214839,0.91232324,0.004654791,0.000032546264],"about_ca_topic_score_codex":0.001430233,"about_ca_topic_score_gemma":0.0010520107,"teacher_disagreement_score":0.0056760544,"about_ca_system_score_codex":0.0015504401,"about_ca_system_score_gemma":0.00040615202,"threshold_uncertainty_score":0.018988311},"labels":[],"label_agreement":null},{"id":"W1526584819","doi":"10.1007/978-0-8176-4639-4_7","title":"Some Extensions of the Siegel-Weil Formula","year":2007,"lang":"en","type":"book-chapter","venue":"Birkhäuser Boston eBooks","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Eisenstein series; Mathematics; Pure mathematics; Algebra over a field; Series (stratigraphy); Modular form","score_opus":0.07968906881913644,"score_gpt":0.31367392622920004,"score_spread":0.23398485741006358,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1526584819","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07658385,0.123325355,0.054130908,0.006678816,0.0032066843,0.000044698572,0.00022080548,0.00027993496,0.735529],"genre_scores_gemma":[0.4996036,0.21872605,0.050652202,0.0028540923,0.011869386,0.00015286627,0.0006491113,0.0002641082,0.21522863],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999803,0.000046118537,0.000013578092,0.000033715696,0.000077550205,0.000026017222],"domain_scores_gemma":[0.9997453,0.000115191615,0.000023353992,0.000038114766,0.0000478287,0.000030196785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006915115,0.00052305777,0.0004782236,0.0017833571,0.0009181883,0.0019675808,0.00063164486,0.00056020275,0.005570823],"category_scores_gemma":[0.0013878504,0.00027548627,0.00055072684,0.002191104,0.0015343269,0.0054024938,0.0011713359,0.0020853211,0.0011564234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009088028,0.000021280553,0.00008318868,0.00009898062,0.0000036582146,0.00009281828,0.00015969368,0.00037206584,0.00040097535,0.96223223,0.004471169,0.032054808],"study_design_scores_gemma":[0.000005834995,0.000023586586,0.00028500508,0.00009367778,0.000005713651,0.00032999524,0.00008045442,0.001105934,0.00035346174,0.89876753,0.09893676,0.000012023848],"about_ca_topic_score_codex":0.00049962767,"about_ca_topic_score_gemma":0.00060626114,"teacher_disagreement_score":0.005570823,"about_ca_system_score_codex":0.0010596894,"about_ca_system_score_gemma":0.00036207953,"threshold_uncertainty_score":0.018636286},"labels":[],"label_agreement":null},{"id":"W1530018746","doi":"10.48550/arxiv.1307.0469","title":"Rectifiers and the local Langlands correspondence: the unramified case","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Langlands dual group; Langlands program; Mathematics; Physics; Pure mathematics; Conjecture","score_opus":0.08033357548303033,"score_gpt":0.22103204167871482,"score_spread":0.1406984661956845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1530018746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5655527,0.0017757597,0.14496692,0.002916217,0.00086645153,0.00012070358,0.00022531697,0.00052405405,0.28305188],"genre_scores_gemma":[0.95620483,0.00065479346,0.012510136,0.000568066,0.00044157184,0.00005420325,0.00010809581,0.0001637602,0.02929463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994485,0.00012763112,0.00004348559,0.00015270375,0.00013271763,0.0000949742],"domain_scores_gemma":[0.99932754,0.00016068443,0.00013410817,0.0001649307,0.00009336651,0.00011932754],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008404896,0.00043825776,0.00050389074,0.0010764161,0.0012742213,0.0026167214,0.0009339787,0.0012954478,0.010997643],"category_scores_gemma":[0.0018281857,0.0002703036,0.00061876554,0.0008634161,0.002945563,0.008837425,0.0021927997,0.002434176,0.0023301812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015132725,0.00001410038,0.00008926848,0.000017872042,0.000001983723,0.00012228219,0.0002246584,0.00013814509,0.0011387778,0.9947543,0.00035351564,0.0031299058],"study_design_scores_gemma":[0.000020031805,0.000031452542,0.000098170356,0.00001192602,0.0000039737197,0.00026196142,0.00020634329,0.0013246093,0.0014084809,0.9923962,0.0042229067,0.000013983252],"about_ca_topic_score_codex":0.00017317025,"about_ca_topic_score_gemma":0.0001839734,"teacher_disagreement_score":0.010997643,"about_ca_system_score_codex":0.00060072733,"about_ca_system_score_gemma":0.00031418624,"threshold_uncertainty_score":0.03679079},"labels":[],"label_agreement":null},{"id":"W1534595332","doi":"10.1090/s0002-9947-01-02807-0","title":"Orthogonal, symplectic and unitary representations of finite groups","year":2001,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Mathematics; Symplectic geometry; Abelian group; Sesquilinear form; Unitary representation; Pure mathematics; Unitary group; Combinatorics; Invariant (physics); Symplectic group; Orthogonal group; Hermitian matrix; Unitary state; Lie group; Mathematical physics","score_opus":0.027303232557980506,"score_gpt":0.31398085972435974,"score_spread":0.28667762716637923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1534595332","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7642638,0.0027824568,0.08553093,0.0020068386,0.00032845832,0.000053777385,0.0003107486,0.00014890157,0.14457405],"genre_scores_gemma":[0.9786406,0.0006279731,0.009055684,0.00014383327,0.00019132966,0.000027553428,0.00018997383,0.000019055129,0.011103968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993092,0.00016378157,0.000042925218,0.0001146613,0.00016931593,0.00020018045],"domain_scores_gemma":[0.9993144,0.00023143373,0.00012852145,0.00010618225,0.00008228974,0.00013706922],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007706775,0.00036561163,0.00025504603,0.0011970481,0.0008809831,0.0017125272,0.00043473992,0.00050241454,0.003614775],"category_scores_gemma":[0.0022311904,0.00014796313,0.0004984055,0.00065929914,0.003538478,0.002969372,0.0016475423,0.0009000555,0.00035629017],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025457264,0.000022801101,0.00024803684,0.000016234084,0.0000021300211,0.00004136049,0.0003927862,0.00071707554,0.00063787296,0.9903509,0.00042309499,0.0071222987],"study_design_scores_gemma":[0.000007711449,0.000021851094,0.00022366348,0.000008378007,0.0000024682438,0.000046447836,0.00015375933,0.0020340965,0.00037661448,0.993806,0.0033130194,0.0000060028888],"about_ca_topic_score_codex":0.0012752285,"about_ca_topic_score_gemma":0.00072233885,"teacher_disagreement_score":0.003614775,"about_ca_system_score_codex":0.0009424574,"about_ca_system_score_gemma":0.0006312317,"threshold_uncertainty_score":0.01209265},"labels":[],"label_agreement":null},{"id":"W1551798684","doi":"10.1007/s10773-014-2444-7","title":"Dominant Weight Multiplicities in Hybrid Characters of B n , C n , F 4, G 2","year":2014,"lang":"en","type":"article","venue":"International Journal of Theoretical Physics","topic":"Advanced Algebra and Geometry","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; University of Windsor","funders":"Université de Montréal; Natural Sciences and Engineering Research Council of Canada; Mitacs; Centre de Recherches Mathématiques","keywords":"Mathematics; Pure mathematics; Character (mathematics); Invariant (physics); Simple (philosophy); Lie group; Simple Lie group; Combinatorics; Geometry; Mathematical physics","score_opus":0.010556632484564222,"score_gpt":0.2931433903460197,"score_spread":0.2825867578614555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1551798684","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9534476,0.00024847896,0.021911751,0.00032556767,0.0001255253,0.000022174054,0.00009713822,0.00019439292,0.023627495],"genre_scores_gemma":[0.99125427,0.00008811226,0.0034675049,0.000056705332,0.00007483649,0.000023393182,0.0000622452,0.00006106101,0.004911961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936754,0.00013446879,0.000039413517,0.00012452043,0.00016543841,0.00016856485],"domain_scores_gemma":[0.9987161,0.00034305136,0.00024885705,0.00010257477,0.00017190872,0.0004175775],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006229381,0.0010257761,0.00049181184,0.0039314767,0.0015687877,0.0022882933,0.0008738138,0.0011117089,0.005136667],"category_scores_gemma":[0.0024307163,0.00047293335,0.00061045325,0.0008763307,0.0032409932,0.0028362116,0.0019449772,0.001252567,0.0005635569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025426282,0.00008020735,0.0031775793,0.00009141361,0.0000297287,0.0011919304,0.0010290527,0.0020523134,0.014052598,0.9667255,0.0011475255,0.0101679],"study_design_scores_gemma":[0.000045284312,0.00011036146,0.0035334975,0.000050133385,0.000027270411,0.0014357951,0.00048180402,0.02169057,0.008162693,0.9620064,0.0023712714,0.00008498618],"about_ca_topic_score_codex":0.0006743283,"about_ca_topic_score_gemma":0.00085119443,"teacher_disagreement_score":0.005136667,"about_ca_system_score_codex":0.0010226474,"about_ca_system_score_gemma":0.00047702534,"threshold_uncertainty_score":0.01718384},"labels":[],"label_agreement":null},{"id":"W1558338445","doi":"10.1090/s0002-9939-10-10300-1","title":"Zeros of the Eisenstein series 𝐸₂","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Eisenstein series; Series (stratigraphy); Mathematics; Pure mathematics; Geology; Modular form; Paleontology","score_opus":0.012051853002965318,"score_gpt":0.26957567859343323,"score_spread":0.25752382559046794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1558338445","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7405793,0.002103879,0.09412378,0.0029958135,0.0008432901,0.00004805089,0.00023706896,0.00054631656,0.15852244],"genre_scores_gemma":[0.96668875,0.00060734845,0.004551156,0.00018778692,0.0004033487,0.00003903146,0.00013428311,0.00016082531,0.027227417],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9993519,0.00014536794,0.000029083263,0.00011957583,0.00018402377,0.00017003501],"domain_scores_gemma":[0.998632,0.00047025914,0.00021526037,0.000103749415,0.0002901132,0.00028861995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009464582,0.0009770632,0.00074718124,0.002037121,0.0013349926,0.0021362607,0.0010292017,0.0007651935,0.012771614],"category_scores_gemma":[0.0052578663,0.00037072433,0.00069744524,0.0007978384,0.002928895,0.0035902134,0.0014556507,0.0017244403,0.0021079227],"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":[0.000066264685,0.00002909248,0.0006169245,0.000091730886,0.000014336867,0.00024836973,0.0003344134,0.0019226315,0.0021617862,0.9879637,0.0018291852,0.0047215433],"study_design_scores_gemma":[0.00003705558,0.00006839812,0.0011434329,0.00009276002,0.00001978651,0.00043038325,0.0002954085,0.024593499,0.0027744907,0.9655329,0.004956254,0.000055644843],"about_ca_topic_score_codex":0.0011767951,"about_ca_topic_score_gemma":0.0007390949,"teacher_disagreement_score":0.012771614,"about_ca_system_score_codex":0.0012494309,"about_ca_system_score_gemma":0.0006872834,"threshold_uncertainty_score":0.042725265},"labels":[],"label_agreement":null},{"id":"W1559167358","doi":"10.1090/amsip/040","title":"Geometric Analysis on the Heisenberg Group and Its Generalizations","year":2008,"lang":"en","type":"book","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":75,"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":"Heisenberg group; Geometric quantization; Heisenberg picture; Mathematics; Group (periodic table); Hamiltonian (control theory); Mathematical physics; Geometry; Physics; Quantum mechanics; Mathematical analysis; Quantum; Canonical quantization","score_opus":0.10591823747307862,"score_gpt":0.3610316378633279,"score_spread":0.2551134003902493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559167358","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05251014,0.04849542,0.06418868,0.0067414884,0.0020538468,0.000034106804,0.0003373843,0.00027805843,0.8253609],"genre_scores_gemma":[0.48004743,0.051938403,0.035854295,0.0016474331,0.0037945348,0.00011825624,0.0005739645,0.00026594335,0.42575973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99988675,0.000022750128,0.000003430042,0.000019924953,0.00005653741,0.000010584939],"domain_scores_gemma":[0.9998957,0.000037955448,0.000011648424,0.000020003174,0.000022512231,0.000012110678],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021164065,0.00039671527,0.0002745282,0.00076995854,0.0005397682,0.0010882657,0.00036280722,0.0003139542,0.0050048954],"category_scores_gemma":[0.00039343434,0.00014514833,0.000321891,0.0010131868,0.0015133208,0.0017162674,0.0005059133,0.0009596262,0.0012386539],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023902585,0.000004194494,0.000044712775,0.000028838249,0.0000029934274,0.000024800569,0.0001748155,0.0006688154,0.000332526,0.9797477,0.008849956,0.010118208],"study_design_scores_gemma":[0.0000018200425,0.000010391599,0.00035036498,0.000022942866,0.00000425398,0.00006438905,0.000085194,0.0012663061,0.0001926389,0.8627507,0.13524736,0.0000036698398],"about_ca_topic_score_codex":0.00071693986,"about_ca_topic_score_gemma":0.0008695369,"teacher_disagreement_score":0.0050048954,"about_ca_system_score_codex":0.00081155344,"about_ca_system_score_gemma":0.00042376982,"threshold_uncertainty_score":0.016743004},"labels":[],"label_agreement":null},{"id":"W1575585042","doi":"10.5802/aif.2956","title":"Solvable Groups, Free Divisors and Nonisolated Matrix Singularities I: Towers of Free Divisors","year":2015,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"National Science Foundation","keywords":"Mathematics; Divisor (algebraic geometry); Pure mathematics; Triangular matrix; Group (periodic table); Combinatorics; Vector space; Matrix (chemical analysis); Invertible matrix","score_opus":0.042072115232913876,"score_gpt":0.3097971392728386,"score_spread":0.2677250240399247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1575585042","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32262465,0.0027046367,0.43813935,0.0018945747,0.0013792977,0.00024669355,0.0010106653,0.0019408736,0.23005927],"genre_scores_gemma":[0.86029154,0.0010021017,0.07560699,0.0002562887,0.00043467482,0.0001127259,0.0007732616,0.0003369957,0.06118546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940276,0.00009209914,0.00004817922,0.00016180528,0.00016014988,0.00013510445],"domain_scores_gemma":[0.9995701,0.00010267696,0.00005387089,0.000108155466,0.00006231344,0.000102887025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055300235,0.0009721452,0.0005351193,0.0026068452,0.0016434877,0.0031088546,0.0009991517,0.00070124085,0.014445999],"category_scores_gemma":[0.0011929146,0.00043724,0.001185639,0.0011057509,0.002383297,0.005055801,0.0029923609,0.0022136823,0.0028846324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042648215,0.0000275093,0.000470248,0.000103887454,0.000009489984,0.00023155888,0.0008449753,0.0006754431,0.003483099,0.9713761,0.003743665,0.018991336],"study_design_scores_gemma":[0.000030288133,0.00006586477,0.0005745274,0.00007000718,0.000016995611,0.0004551683,0.00040952337,0.004263772,0.006915375,0.9569644,0.030197171,0.000036900237],"about_ca_topic_score_codex":0.00077077304,"about_ca_topic_score_gemma":0.00097417337,"teacher_disagreement_score":0.014445999,"about_ca_system_score_codex":0.0016045321,"about_ca_system_score_gemma":0.00042147783,"threshold_uncertainty_score":0.04832667},"labels":[],"label_agreement":null},{"id":"W1578236885","doi":"10.5802/aif.2988","title":"Geometrization of principal series representations of reductive groups","year":2015,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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 Calgary; National Science Foundation","keywords":"Equivariant map; Mathematics; Pure mathematics; Reductive group; Invariant (physics); TRACE (psycholinguistics); Representation theory; Series (stratigraphy); Algebra over a field; Group theory; Linguistics","score_opus":0.064436819703654,"score_gpt":0.3499467961849938,"score_spread":0.2855099764813398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1578236885","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9197006,0.00036679418,0.038018357,0.00076421216,0.0000883213,0.00003578997,0.00019905412,0.00034294423,0.04048388],"genre_scores_gemma":[0.982358,0.0002027383,0.0047419597,0.00007691388,0.00008329485,0.000021929087,0.00018476704,0.000065313434,0.012265112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994825,0.00010049072,0.000021996246,0.000112176946,0.00016317244,0.00011963789],"domain_scores_gemma":[0.99963737,0.00006112245,0.00006121643,0.0000784696,0.0000639489,0.000097791475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045204384,0.00051507197,0.0003869125,0.00189804,0.0012863023,0.0022455363,0.0006759672,0.0005716005,0.003481766],"category_scores_gemma":[0.0010656609,0.00020595791,0.0007501249,0.000926519,0.0028218331,0.0033008798,0.0022289315,0.0012631243,0.00044084826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022245486,0.000014534757,0.0004889211,0.000016093574,0.000006154292,0.00012623158,0.0010261836,0.00048026635,0.0019354605,0.9900259,0.00042868766,0.0054293033],"study_design_scores_gemma":[0.000013717819,0.000067723384,0.0010938421,0.000012553076,0.000011071882,0.00045018026,0.00084561686,0.0050091012,0.0030735,0.9815103,0.007892822,0.000019467892],"about_ca_topic_score_codex":0.0010383881,"about_ca_topic_score_gemma":0.00049704197,"teacher_disagreement_score":0.003481766,"about_ca_system_score_codex":0.0015754048,"about_ca_system_score_gemma":0.00040782653,"threshold_uncertainty_score":0.011647701},"labels":[],"label_agreement":null},{"id":"W1586720917","doi":"10.1090/s0002-9939-01-05984-6","title":"The action of a semisimple Lie group on its maximal compact subgroup","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Centralizer and normalizer; Mathematics; Maximal torus; Ideal (ethics); Action (physics); Semigroup; Pure mathematics; Center (category theory); Group (periodic table); Lie group; Normal subgroup; Combinatorics; Discrete mathematics; Lie algebra; Fundamental representation; Physics; Crystallography; Chemistry","score_opus":0.05177200671181193,"score_gpt":0.3329448238491481,"score_spread":0.28117281713733616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1586720917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8320489,0.0005217373,0.09165451,0.0008967309,0.00022904342,0.000056353805,0.00018816284,0.00041892836,0.07398558],"genre_scores_gemma":[0.97810066,0.00018989293,0.009647404,0.000081274884,0.000113545524,0.000025493238,0.00013873162,0.000067063454,0.011635936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951184,0.00008694498,0.000027682501,0.000116094416,0.00013169166,0.00012577257],"domain_scores_gemma":[0.9996394,0.0000793958,0.00007149961,0.00004302979,0.000054690157,0.00011199838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054712035,0.0005562858,0.00042182757,0.0007604999,0.0009663786,0.001402465,0.00047858775,0.00045766064,0.006368858],"category_scores_gemma":[0.00072111696,0.00017551883,0.0007176758,0.00026368015,0.002357826,0.0024571607,0.0010347305,0.00083908404,0.001483514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009673768,0.000036651083,0.00057068514,0.00006221901,0.000010955519,0.00028190462,0.0013366904,0.00092781906,0.009612763,0.9800757,0.0006794375,0.0063083065],"study_design_scores_gemma":[0.000032780088,0.000167384,0.0011568202,0.000043782853,0.000018240307,0.00048178528,0.00072407804,0.008121696,0.016721066,0.9618631,0.01062506,0.00004418482],"about_ca_topic_score_codex":0.0007356405,"about_ca_topic_score_gemma":0.00038922616,"teacher_disagreement_score":0.006368858,"about_ca_system_score_codex":0.0007821442,"about_ca_system_score_gemma":0.00063052855,"threshold_uncertainty_score":0.021305919},"labels":[],"label_agreement":null},{"id":"W1587778051","doi":"10.1515/jgth-2015-0027","title":"A note on nilpotent representations","year":2015,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Advanced Algebra and Geometry","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","keywords":"Nilpotent; Variety (cybernetics); Mathematics; Group (periodic table); Factoring; Pure mathematics; Algebraic number; Algebraic group; Representation (politics); Character (mathematics); Algebra over a field; Topology (electrical circuits); Discrete mathematics; Combinatorics; Physics; Geometry","score_opus":0.05845233848571905,"score_gpt":0.37486451706690627,"score_spread":0.3164121785811872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1587778051","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30237976,0.01665592,0.13195586,0.031108163,0.007083864,0.000044905042,0.00030828337,0.0007243023,0.509739],"genre_scores_gemma":[0.9567151,0.00426407,0.011714709,0.0022477156,0.0032287235,0.000027434085,0.00008941672,0.00010418293,0.02160874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995221,0.0001533361,0.000022896691,0.00008054656,0.00015366153,0.000067463414],"domain_scores_gemma":[0.99900144,0.000474507,0.00006786308,0.00014136276,0.00014657769,0.00016825726],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006356188,0.0003051231,0.00043248635,0.0013130677,0.0014942823,0.0023372932,0.00071121106,0.0008469066,0.004223193],"category_scores_gemma":[0.0021263568,0.00013263432,0.00028562985,0.00080320064,0.002920999,0.004822835,0.0035477674,0.0028694416,0.0007485928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013146343,0.000007743025,0.00015594253,0.000028417015,0.000002483115,0.0001859636,0.00031738935,0.00020471611,0.0007060567,0.99201703,0.0017382433,0.004622824],"study_design_scores_gemma":[0.0000023157831,0.000010152189,0.00010133507,0.0000128837255,0.0000017853087,0.0001260848,0.00009675123,0.00066687306,0.00039056508,0.9848221,0.013764717,0.0000045981033],"about_ca_topic_score_codex":0.00038340857,"about_ca_topic_score_gemma":0.00032304326,"teacher_disagreement_score":0.004223193,"about_ca_system_score_codex":0.00060584093,"about_ca_system_score_gemma":0.00026395105,"threshold_uncertainty_score":0.014128029},"labels":[],"label_agreement":null},{"id":"W1591073158","doi":"10.1090/crmp/042/12","title":"The spectral problem, substitutions and iterated monodromy","year":2007,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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":"McGill University; Carleton University","funders":"","keywords":"Monodromy; Iterated function; Mathematics; Markov chain; Combinatorics; Quadratic equation; Binary number; Tree (set theory); Graph; Binary tree; Monodromy matrix; Group (periodic table); Boundary (topology); Group action; Action (physics); Pure mathematics; Mathematical analysis; Physics; Geometry; Eigenvalues and eigenvectors; Quantum mechanics","score_opus":0.036004964680960004,"score_gpt":0.2880082286853226,"score_spread":0.2520032640043626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1591073158","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54883957,0.0028794522,0.173053,0.0035750128,0.0005435486,0.00006115009,0.000088552224,0.00024618424,0.27071348],"genre_scores_gemma":[0.9451387,0.000741649,0.01569517,0.00033819868,0.0002847152,0.000036141875,0.000051646184,0.000083398634,0.037630368],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973625,0.000051529478,0.000013682604,0.00005816457,0.00009390146,0.000046388228],"domain_scores_gemma":[0.9997048,0.00010147863,0.000039827857,0.00004768648,0.00004560846,0.00006057735],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038056925,0.00033660702,0.00039132242,0.00094700395,0.0013609248,0.0018049455,0.0007119088,0.001256618,0.005323038],"category_scores_gemma":[0.0010946231,0.00024075602,0.000407416,0.0005458052,0.002358674,0.0036363895,0.001343314,0.0010387127,0.00082194956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004459474,0.0000064631936,0.00004803086,0.0000119840215,8.1704167e-7,0.000047229103,0.00012661422,0.0002002964,0.0006820093,0.9959927,0.00033708566,0.0025422939],"study_design_scores_gemma":[0.000004272725,0.000009033359,0.00008924717,0.000008270808,0.0000015068382,0.00015183973,0.00011058286,0.002927043,0.0006328186,0.99351865,0.0025424915,0.000004305144],"about_ca_topic_score_codex":0.00048726037,"about_ca_topic_score_gemma":0.00044733737,"teacher_disagreement_score":0.005323038,"about_ca_system_score_codex":0.000891633,"about_ca_system_score_gemma":0.00040043067,"threshold_uncertainty_score":0.017807364},"labels":[],"label_agreement":null},{"id":"W1593465962","doi":"10.1017/s0027763000009570","title":"On <i>L</i>-Functions of Twisted 3-Dimensional Quaternionic Shimura Varieties","year":2008,"lang":"en","type":"article","venue":"Nagoya Mathematical Journal","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Shimura variety; Twist; Pure mathematics; Dimension (graph theory); Quaternionic representation; Absolute Galois group; Galois module; Algebra over a field; Geometry; Modular form; Irreducible representation; Real representation","score_opus":0.049076830767925454,"score_gpt":0.30515945476923684,"score_spread":0.2560826240013114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1593465962","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9190456,0.00055060955,0.06973341,0.00015941316,0.000060480157,0.000024699424,0.00007044536,0.00017521507,0.010180195],"genre_scores_gemma":[0.9904592,0.00045996555,0.0061879554,0.000027089369,0.00005660131,0.000017622042,0.000078476645,0.000069323854,0.0026439067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977607,0.000060928265,0.000008310448,0.000032443055,0.000047211477,0.00007505306],"domain_scores_gemma":[0.9993088,0.00019823085,0.00015881761,0.00005572077,0.00010368665,0.00017484438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073393434,0.0014764245,0.000728243,0.004074667,0.0011988316,0.002221063,0.0009359537,0.00060030376,0.003537935],"category_scores_gemma":[0.002036828,0.00032389685,0.0007935484,0.0018985413,0.003113744,0.0039713886,0.0010474354,0.0013440978,0.0010466854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033779937,0.000082621504,0.007276378,0.00022076232,0.00004015821,0.0014674021,0.0018242166,0.038677853,0.013076375,0.89927363,0.0011421014,0.036580678],"study_design_scores_gemma":[0.000059026203,0.0001905026,0.0060450328,0.0001435876,0.000043160453,0.00084127585,0.0011371167,0.14635348,0.013591886,0.827589,0.0038297807,0.00017624373],"about_ca_topic_score_codex":0.0010977011,"about_ca_topic_score_gemma":0.00069184933,"teacher_disagreement_score":0.004074667,"about_ca_system_score_codex":0.0009704682,"about_ca_system_score_gemma":0.00047080088,"threshold_uncertainty_score":0.0118355155},"labels":[],"label_agreement":null},{"id":"W159714145","doi":"10.1142/9789812777386_0088","title":"A NEW LIE - DERIVATIVE OPERATOR AND HOMOTHETIC OR KILLING VECTORS IN THE GHP FORMALISM","year":2002,"lang":"en","type":"article","venue":"The Ninth Marcel Grossmann Meeting","topic":"Advanced Algebra and Geometry","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":"Homothetic transformation; Formalism (music); Lie derivative; Operator (biology); Physics; Mathematics; Mathematical physics; Lie group; Computer science; Pure mathematics; Chemistry; Geometry; Adjoint representation of a Lie algebra","score_opus":0.06907184718514445,"score_gpt":0.30164865741865243,"score_spread":0.23257681023350799,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W159714145","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28713536,0.002635361,0.4393861,0.007263233,0.0021876192,0.00014521569,0.00043357202,0.0009812441,0.25983235],"genre_scores_gemma":[0.8617898,0.00135962,0.08547184,0.00154314,0.0012195758,0.000088442925,0.00022384331,0.00031497082,0.04798877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996119,0.00009957754,0.000021024056,0.000058527283,0.00015203714,0.00005699349],"domain_scores_gemma":[0.99969494,0.000041645588,0.00003107448,0.00007455603,0.00005153885,0.00010623666],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090679765,0.0005994507,0.00076914637,0.0010246094,0.0013182536,0.0022839948,0.0013568242,0.0017413774,0.00402291],"category_scores_gemma":[0.0009792667,0.00032256657,0.0007362622,0.00091656996,0.0035868015,0.003999334,0.0021349227,0.0022679209,0.00074205024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000057261072,0.000005849852,0.00002799712,0.000012373902,0.0000019250956,0.000070878355,0.000077567856,0.0003380031,0.0006300353,0.99681133,0.00043924197,0.0015791379],"study_design_scores_gemma":[0.000007053433,0.000007821076,0.000047011432,0.0000046051023,0.0000018938056,0.00008599514,0.000034112876,0.004338207,0.00016867212,0.99359447,0.00170388,0.0000063217826],"about_ca_topic_score_codex":0.0009513076,"about_ca_topic_score_gemma":0.0008978645,"teacher_disagreement_score":0.00402291,"about_ca_system_score_codex":0.0008604742,"about_ca_system_score_gemma":0.0009180165,"threshold_uncertainty_score":0.013457954},"labels":[],"label_agreement":null},{"id":"W1601143933","doi":"10.1007/s00209-016-1799-2","title":"Links between generalized Montréal-functors","year":2016,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"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":"Sheaf; Noncommutative geometry; Ring (chemistry); Extension (predicate logic); Representation theory; Representation (politics); Dual (grammatical number); Iterated function; Functor","score_opus":0.03825717072774722,"score_gpt":0.2961193915464149,"score_spread":0.2578622208186677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1601143933","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28820378,0.0026639996,0.3080351,0.0045454097,0.0012912493,0.00013766786,0.002121741,0.001198438,0.39180264],"genre_scores_gemma":[0.81753284,0.0018736349,0.047820814,0.0011082245,0.0007723325,0.00019242412,0.001688043,0.0004922526,0.12851934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989215,0.00023575938,0.00006984523,0.00028603763,0.00027525684,0.00021148818],"domain_scores_gemma":[0.9982091,0.0005888419,0.00027130172,0.00023827194,0.00040734513,0.0002851527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011772778,0.0009765681,0.00069899566,0.0052566268,0.0033563967,0.0046000713,0.0015375401,0.0014365639,0.022792332],"category_scores_gemma":[0.0033018496,0.000817784,0.0012366553,0.0043052323,0.0029971944,0.011926131,0.004506204,0.0035205786,0.002167759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000069932535,0.000004299996,0.00005527102,0.000005973575,0.0000035352252,0.000032379867,0.00010224446,0.000061697036,0.00011888731,0.9980611,0.00043147986,0.0011161843],"study_design_scores_gemma":[0.000010198298,0.000008323139,0.0002532751,0.000009312704,0.000011198844,0.00008476205,0.00013404341,0.0007958847,0.00021779732,0.9887213,0.009740912,0.000013021387],"about_ca_topic_score_codex":0.0072768806,"about_ca_topic_score_gemma":0.007870832,"teacher_disagreement_score":0.022792332,"about_ca_system_score_codex":0.0026631446,"about_ca_system_score_gemma":0.00096600025,"threshold_uncertainty_score":0.07624799},"labels":[],"label_agreement":null},{"id":"W1617055173","doi":"10.1016/j.aim.2015.07.017","title":"Littlewood–Richardson coefficients for reflection groups","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"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; National Science Foundation","keywords":"Mathematics; Reflection (computer programming); Pure mathematics; Mathematical analysis","score_opus":0.07108785464588231,"score_gpt":0.39141479451228817,"score_spread":0.32032693986640587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1617055173","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24831419,0.0055308207,0.25275332,0.009667124,0.002718496,0.00012420023,0.0006274866,0.0011652248,0.47909912],"genre_scores_gemma":[0.81567734,0.0032913007,0.037266262,0.0013716724,0.0024679296,0.00014201073,0.00058044103,0.0008659704,0.13833702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991147,0.00025280815,0.000043814733,0.00014730889,0.00028099373,0.00016036503],"domain_scores_gemma":[0.99832255,0.0005732613,0.00023298762,0.0002088079,0.00028282008,0.00037963426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019312331,0.0021270197,0.0012899032,0.0055816295,0.0020084498,0.0036847724,0.002149389,0.0018737832,0.018265903],"category_scores_gemma":[0.005535561,0.0007550904,0.0010907629,0.0028194673,0.0046659973,0.008551952,0.0033419935,0.0054173055,0.0045101116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000148144045,0.000009759234,0.00007757501,0.000016249971,0.000004079723,0.000033387543,0.00014375335,0.00019445026,0.0003313115,0.9942542,0.0017292463,0.0031912273],"study_design_scores_gemma":[0.000013017122,0.000008803543,0.00015508235,0.000012156886,0.000007065323,0.00008204619,0.000062486535,0.0013412565,0.00031504565,0.9934174,0.0045703705,0.000015282421],"about_ca_topic_score_codex":0.0012826835,"about_ca_topic_score_gemma":0.0013249499,"teacher_disagreement_score":0.018265903,"about_ca_system_score_codex":0.002070474,"about_ca_system_score_gemma":0.0009286392,"threshold_uncertainty_score":0.06110555},"labels":[],"label_agreement":null},{"id":"W1628001501","doi":"10.1090/s0002-9939-02-06609-1","title":"On the number of Fourier coefficients that determine a Hilbert modular form","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Modular form; Cusp form; Fourier series; Cusp (singularity); Quotient; Modular design; Fourier transform; Rayleigh quotient; Mathematical analysis; Pure mathematics; Physics; Geometry; Computer science; Quantum mechanics","score_opus":0.03174623554647936,"score_gpt":0.28284363248284455,"score_spread":0.2510973969363652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1628001501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8095646,0.0008435199,0.16379464,0.001428674,0.00033486128,0.00006573915,0.00029565173,0.0002723879,0.023399921],"genre_scores_gemma":[0.9442407,0.0007847107,0.04517023,0.00013584128,0.0006018945,0.000109981396,0.0004955981,0.00017623248,0.008284858],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978294,0.0005379136,0.00011430854,0.0003614034,0.0008289752,0.00032800753],"domain_scores_gemma":[0.979856,0.014540158,0.0018256995,0.0013861897,0.0011404895,0.0012514029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035953647,0.0012709837,0.0014353831,0.0040551675,0.0024568231,0.0025149311,0.0021021543,0.002152694,0.0072463416],"category_scores_gemma":[0.020364244,0.0007589047,0.0013593542,0.0013688476,0.004330961,0.006905653,0.0031105753,0.0027824806,0.000976289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015008876,0.0003765188,0.021415757,0.0006952338,0.00017978362,0.00164953,0.0008526823,0.023782354,0.048380163,0.83622396,0.005130982,0.059812225],"study_design_scores_gemma":[0.00017647319,0.00024852116,0.014627782,0.00019238588,0.00023498396,0.004403528,0.00044685564,0.22874996,0.03498098,0.7114642,0.004231384,0.00024291762],"about_ca_topic_score_codex":0.00040567317,"about_ca_topic_score_gemma":0.00036759657,"teacher_disagreement_score":0.0072463416,"about_ca_system_score_codex":0.0009704202,"about_ca_system_score_gemma":0.000576712,"threshold_uncertainty_score":0.024241447},"labels":[],"label_agreement":null},{"id":"W1651095080","doi":"10.1093/qmath/han027","title":"HOCHSCHILD HOMOLOGY AND COHOMOLOGY OF  1(ZFormula)","year":2008,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Cohomology; Homology (biology); Hochschild homology; Pure mathematics; Topology (electrical circuits); Combinatorics; Biology; Genetics","score_opus":0.03348353543403245,"score_gpt":0.2881928472829667,"score_spread":0.25470931184893425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1651095080","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8177287,0.002658451,0.06810604,0.002100092,0.00016898818,0.00002594473,0.00020149536,0.000118821525,0.108891346],"genre_scores_gemma":[0.9780937,0.0005962316,0.005014754,0.00012248727,0.00018419075,0.000018342182,0.00011725475,0.000019880747,0.01583307],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997341,0.000037348065,0.0000087984845,0.00005050991,0.00008276308,0.00008652487],"domain_scores_gemma":[0.999556,0.000121028985,0.00008054076,0.000039494593,0.00007496229,0.00012799018],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005248817,0.00028875342,0.0003801394,0.0021488531,0.0011958269,0.0019756753,0.000708392,0.0005809762,0.0057693967],"category_scores_gemma":[0.0010374335,0.00013607032,0.00036278213,0.0009161378,0.0022490334,0.004017091,0.0021620574,0.0010013921,0.0005445479],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000063177204,0.000006738519,0.00048677233,0.000014699538,0.000002622567,0.000042792068,0.00037006265,0.0004050195,0.00077036524,0.9921902,0.00036552237,0.0053388365],"study_design_scores_gemma":[0.000003637989,0.000017232838,0.0024660875,0.000008398838,0.000002635216,0.00021012039,0.0001845052,0.0028533482,0.00082266325,0.98775685,0.00566388,0.000010714335],"about_ca_topic_score_codex":0.0017153779,"about_ca_topic_score_gemma":0.0010710056,"teacher_disagreement_score":0.0057693967,"about_ca_system_score_codex":0.0012319061,"about_ca_system_score_gemma":0.00039419418,"threshold_uncertainty_score":0.01930058},"labels":[],"label_agreement":null},{"id":"W1660325762","doi":"10.1090/jams/862","title":"A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups","year":2016,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"University of Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Algebraically closed field; Reductive group; Upper and lower bounds; Mod; Group (periodic table); Field (mathematics)","score_opus":0.0437844973416206,"score_gpt":0.35239374484979163,"score_spread":0.30860924750817104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1660325762","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84315395,0.0009188256,0.04101661,0.0015190792,0.00023996779,0.00008628622,0.0005546179,0.0004916814,0.112018965],"genre_scores_gemma":[0.96959364,0.00060548924,0.006278204,0.00018687763,0.0002075534,0.0000427789,0.0010566928,0.000069407935,0.02195938],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932396,0.00009930042,0.000051037736,0.000113253984,0.00020290523,0.0002096496],"domain_scores_gemma":[0.99929345,0.0002006071,0.00011602445,0.00010193446,0.00011281901,0.00017510902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007710349,0.00072125514,0.0005801539,0.0034012904,0.0011985691,0.0033263871,0.00068208383,0.0007481916,0.0066655553],"category_scores_gemma":[0.0015309616,0.00031738105,0.00056215905,0.0022274144,0.0026024054,0.002542014,0.0014990845,0.0014696689,0.0013173015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060421487,0.000032785807,0.0013489292,0.00004870543,0.0000071445943,0.00010047978,0.0005615606,0.0005733151,0.0013219613,0.9729934,0.0019776267,0.020973621],"study_design_scores_gemma":[0.000044578566,0.00010638669,0.0026379079,0.00006935613,0.000022786404,0.0005188091,0.00080661796,0.0067851045,0.0022168714,0.96791774,0.018828785,0.000045110413],"about_ca_topic_score_codex":0.0008562628,"about_ca_topic_score_gemma":0.0006256725,"teacher_disagreement_score":0.0066655553,"about_ca_system_score_codex":0.00144039,"about_ca_system_score_gemma":0.00076276006,"threshold_uncertainty_score":0.022298515},"labels":[],"label_agreement":null},{"id":"W1661817784","doi":"10.1023/a:1017501925328","title":"On fine gradings and their symmetries","year":2001,"lang":"en","type":"article","venue":"Czechoslovak Journal of Physics","topic":"Advanced Algebra and Geometry","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":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Homogeneous space; Pure mathematics; Prime (order theory); Mathematics; Physics; Unification; Finite field; Mathematical physics; Algebra over a field; Discrete mathematics; Combinatorics; Computer science; Geometry","score_opus":0.029321918702833835,"score_gpt":0.2880766426900996,"score_spread":0.25875472398726573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1661817784","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60876894,0.0019660566,0.06490206,0.0034978644,0.0012098094,0.00014252176,0.0006629059,0.00044220418,0.31840762],"genre_scores_gemma":[0.9430729,0.0007462615,0.007659877,0.00040107337,0.00062894693,0.000067440546,0.00029084526,0.00016027818,0.04697247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99925584,0.00015676049,0.000045135694,0.0001398278,0.00018706336,0.00021544189],"domain_scores_gemma":[0.99866617,0.00028948882,0.00019712864,0.00023172516,0.0002053635,0.00041007984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010537278,0.0007231171,0.001086082,0.003469988,0.0027449944,0.0031725501,0.001002457,0.0010852767,0.010512517],"category_scores_gemma":[0.0024929186,0.000544074,0.000914917,0.0014638968,0.0038497914,0.005812209,0.0026096385,0.0027800987,0.0013360936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021497932,0.000022134705,0.00013341033,0.000011188732,0.0000036498013,0.000047899226,0.00015342144,0.00016429795,0.00032478914,0.99541676,0.00055731594,0.003143496],"study_design_scores_gemma":[0.00000991273,0.000009260138,0.0002755555,0.000006095686,0.0000035262942,0.00006739074,0.000047328034,0.0004905515,0.00008463809,0.99750704,0.0014907696,0.000007875385],"about_ca_topic_score_codex":0.0015552855,"about_ca_topic_score_gemma":0.0014690127,"teacher_disagreement_score":0.010512517,"about_ca_system_score_codex":0.0014965166,"about_ca_system_score_gemma":0.0007353626,"threshold_uncertainty_score":0.035167933},"labels":[],"label_agreement":null},{"id":"W1665032680","doi":"10.1090/crmp/024/03","title":"The Atiyah-Chern character yields the semiregularity map as well as the infinitesimal Abel-Jacobi map","year":2000,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Volkswagen Foundation","keywords":"Infinitesimal; Character (mathematics); Mathematics; Pure mathematics; Mathematical analysis; Algebra over a field; Geometry","score_opus":0.0186036562639392,"score_gpt":0.26252268109114874,"score_spread":0.24391902482720954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1665032680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3991096,0.0013258946,0.30699393,0.001231792,0.0008085735,0.00009012704,0.00020965308,0.0007122565,0.2895182],"genre_scores_gemma":[0.94511145,0.0006056316,0.024241952,0.00016936212,0.00033504498,0.00003287179,0.00006543037,0.00013796396,0.029300265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975044,0.000029974692,0.000014720238,0.000067096764,0.00009332152,0.000044352608],"domain_scores_gemma":[0.9997137,0.000065636006,0.000037726975,0.000057747733,0.000055136286,0.00006991762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034831875,0.00048264634,0.00031908098,0.0011074898,0.00084522937,0.0014792827,0.00041530252,0.0005013812,0.0055912132],"category_scores_gemma":[0.0006124729,0.00019958444,0.0004683843,0.0004934413,0.0020754791,0.0024810408,0.0012098921,0.0011123085,0.0010539347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008142716,0.000007767522,0.00015048325,0.000029176907,0.0000025195793,0.00011415924,0.00017829423,0.00025046922,0.0036576414,0.98760056,0.0003427267,0.0076580206],"study_design_scores_gemma":[0.0000062172608,0.000058070993,0.0007026454,0.000010018617,0.0000087845665,0.00095429976,0.000119108285,0.0030848526,0.0062364517,0.9718926,0.01690571,0.000021245693],"about_ca_topic_score_codex":0.00023589774,"about_ca_topic_score_gemma":0.00022417492,"teacher_disagreement_score":0.0055912132,"about_ca_system_score_codex":0.0004605824,"about_ca_system_score_gemma":0.00027439685,"threshold_uncertainty_score":0.018704474},"labels":[],"label_agreement":null},{"id":"W1687036418","doi":"10.4134/jkms.2015.52.4.853","title":"GROSSBERG-KARSHON TWISTED CUBES AND BASEPOINT-FREE DIVISORS","year":2015,"lang":"en","type":"article","venue":"Journal of the Korean Mathematical Society","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"Japan Society for the Promotion of Science; Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Polytope; Character (mathematics); Lattice (music); Pure mathematics; Sign (mathematics); Divisor (algebraic geometry); Combinatorics; Convexity; Cube (algebra); Mathematical analysis; Geometry","score_opus":0.05169449829951538,"score_gpt":0.3024325628453667,"score_spread":0.2507380645458513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1687036418","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9026079,0.0005586732,0.05366115,0.00036334942,0.00010913017,0.000024250558,0.00016103756,0.00014309693,0.042371392],"genre_scores_gemma":[0.98860455,0.00021594443,0.0059233336,0.000056602643,0.00006061046,0.000017564573,0.000127921,0.000030630206,0.0049627754],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997688,0.000036351285,0.000015520814,0.000047011967,0.00007534697,0.000057001074],"domain_scores_gemma":[0.9995529,0.00012395959,0.000089201334,0.00005763282,0.00006170376,0.00011449561],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000256464,0.0003012527,0.00028974537,0.0010303044,0.00077396363,0.0013905638,0.00036423226,0.00035066737,0.003223702],"category_scores_gemma":[0.0013329161,0.00015799841,0.00029123452,0.00074022094,0.0016357127,0.002413067,0.0011613158,0.00076935714,0.00039492143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043132935,0.000009746773,0.00082699687,0.000020281113,0.0000031134293,0.000296705,0.00023723477,0.0012344529,0.0019961603,0.9879709,0.00039485315,0.0069664097],"study_design_scores_gemma":[0.000013067268,0.0000290952,0.00095387344,0.000016259904,0.0000055540495,0.00043306826,0.00015360993,0.009956638,0.003366036,0.9808822,0.0041739778,0.000016408403],"about_ca_topic_score_codex":0.00048195652,"about_ca_topic_score_gemma":0.00042252985,"teacher_disagreement_score":0.003223702,"about_ca_system_score_codex":0.0006838307,"about_ca_system_score_gemma":0.00023551568,"threshold_uncertainty_score":0.010784328},"labels":[],"label_agreement":null},{"id":"W1691063159","doi":"10.1007/s00039-002-8234-z","title":"Duistermaat?Heckman measures and moduli spaces of flat bundles over surfaces","year":2002,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":65,"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":"Moduli space; Mathematics; Moduli; Hamiltonian (control theory); Pure mathematics; Group (periodic table); Mathematical analysis; Physics","score_opus":0.04454300886410198,"score_gpt":0.25472771301524433,"score_spread":0.21018470415114235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1691063159","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81624496,0.0049290527,0.046689365,0.008106354,0.00046683266,0.000031478376,0.00036222805,0.00032265595,0.122847095],"genre_scores_gemma":[0.978312,0.00096508913,0.0029255543,0.00019645224,0.0003525086,0.000014801942,0.00008927394,0.00003554101,0.017108703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995485,0.00011219708,0.000020388869,0.00008736092,0.00012333324,0.00010825096],"domain_scores_gemma":[0.9992367,0.00023493651,0.00014046907,0.000105025734,0.000108272216,0.00017464528],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011042494,0.0006983342,0.00070515316,0.0029916014,0.0021820976,0.004593063,0.00082409644,0.0014902736,0.0066339853],"category_scores_gemma":[0.002786813,0.0005748223,0.0005122049,0.0017626892,0.0032340395,0.00786634,0.0015138686,0.0021188708,0.00053367886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010904546,0.0000071106874,0.00016806857,0.000007024803,0.0000031593772,0.000024825295,0.00014394172,0.00016927048,0.0001595204,0.9978307,0.00029557158,0.0011799147],"study_design_scores_gemma":[0.0000051693496,0.0000055186156,0.0003107462,0.000006064656,0.0000035873145,0.000048395643,0.000100627,0.0013048252,0.00015523529,0.9968201,0.0012326675,0.000007150772],"about_ca_topic_score_codex":0.002382981,"about_ca_topic_score_gemma":0.0014870138,"teacher_disagreement_score":0.0066339853,"about_ca_system_score_codex":0.002232571,"about_ca_system_score_gemma":0.00069606316,"threshold_uncertainty_score":0.022192955},"labels":[],"label_agreement":null},{"id":"W1712494729","doi":"10.1090/s0002-9939-04-07443-x","title":"Cohomology of symplectic reductions of generic coadjoint orbits","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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","funders":"National Science Foundation","keywords":"Symplectic geometry; Cohomology; Pure mathematics; Mathematics; Algebra over a field","score_opus":0.026070813226561754,"score_gpt":0.29601100489423765,"score_spread":0.2699401916676759,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1712494729","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73857075,0.000517993,0.042982273,0.001102742,0.00031349686,0.000056587844,0.0003956831,0.0005567975,0.2155037],"genre_scores_gemma":[0.9605513,0.00019789672,0.0037676147,0.00010917061,0.00015011131,0.000025733629,0.00028440464,0.00014791828,0.034765877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999608,0.000054679418,0.000016864038,0.000079316866,0.0001465923,0.00009452857],"domain_scores_gemma":[0.9997508,0.000052727435,0.00003306803,0.000040178882,0.00005624949,0.0000670593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026773207,0.00046258813,0.0004272655,0.0013076601,0.001156116,0.0016527803,0.00053335895,0.00040258095,0.012007073],"category_scores_gemma":[0.000757985,0.00022015857,0.00051087915,0.0005538817,0.0015398148,0.0019134807,0.0021546981,0.0010461456,0.0015413278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003994482,0.000024056646,0.00044300695,0.000040459876,0.000009036018,0.00023300642,0.000557256,0.00083814067,0.0019624676,0.9867432,0.0018364957,0.007272866],"study_design_scores_gemma":[0.000035773297,0.00007409883,0.0022956938,0.000022063663,0.000016706259,0.00040541193,0.0006748841,0.011237246,0.0038532226,0.96427876,0.017079448,0.000026618833],"about_ca_topic_score_codex":0.0015547067,"about_ca_topic_score_gemma":0.0013620957,"teacher_disagreement_score":0.012007073,"about_ca_system_score_codex":0.0012144326,"about_ca_system_score_gemma":0.00039516154,"threshold_uncertainty_score":0.04016769},"labels":[],"label_agreement":null},{"id":"W1730234632","doi":"10.4171/ggd/387","title":"Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields","year":2017,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Advanced Algebra and Geometry","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":"McGill University; University of Ottawa","keywords":"Mathematics; Quotient; Ideal (ethics); Dimension (graph theory); Combinatorics; Field (mathematics); Prime (order theory); Group of Lie type; Ring (chemistry); Local ring; Prime ideal; Local field; Representation theory; Pure mathematics; Group theory; Geometry; Chemistry","score_opus":0.019731368731904186,"score_gpt":0.3173597592318665,"score_spread":0.2976283904999623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1730234632","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96401626,0.00024370158,0.022719363,0.00044858537,0.000036953083,0.000014862659,0.000062096886,0.0000653879,0.01239287],"genre_scores_gemma":[0.99495894,0.00009978227,0.0026667225,0.00003384234,0.00006324174,0.000015221591,0.00005315249,0.0000121175535,0.0020969387],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993734,0.00012406764,0.000031858464,0.00012498969,0.00011664973,0.00022920035],"domain_scores_gemma":[0.9981488,0.0006782415,0.00030907654,0.0002777232,0.000113510265,0.00047256926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011408809,0.00058120105,0.0006549693,0.0017323253,0.0014415222,0.0030409864,0.00071846443,0.00068056217,0.0045445366],"category_scores_gemma":[0.0031816682,0.00032312612,0.0005126103,0.0006596737,0.0035565034,0.005287841,0.0028954286,0.001296121,0.00036606693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000664647,0.000018716324,0.0006218923,0.000018957437,0.000005155862,0.000057280744,0.00034479823,0.0011203636,0.0016006808,0.99338984,0.00020822667,0.00254764],"study_design_scores_gemma":[0.000031084786,0.00004628087,0.0007059538,0.000013639433,0.000009525474,0.00008954864,0.00019909303,0.0099142445,0.0023418132,0.9852946,0.0013403142,0.000013942338],"about_ca_topic_score_codex":0.0005733095,"about_ca_topic_score_gemma":0.000489876,"teacher_disagreement_score":0.0045445366,"about_ca_system_score_codex":0.0010944939,"about_ca_system_score_gemma":0.00039513985,"threshold_uncertainty_score":0.0152029395},"labels":[],"label_agreement":null},{"id":"W1766959149","doi":"10.1016/j.geomphys.2011.04.012","title":"4D neutral signature VSI and CSI spaces","year":2011,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Advanced Algebra and Geometry","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":"Dalhousie University","funders":"Norges Forskningsråd","keywords":"Mathematics; Signature (topology); Pure mathematics; Geometry","score_opus":0.037763578935574825,"score_gpt":0.28027925014549504,"score_spread":0.2425156712099202,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1766959149","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47475722,0.0017313367,0.17137794,0.004413305,0.0020456885,0.00012823504,0.0012252769,0.000963267,0.34335768],"genre_scores_gemma":[0.93325484,0.0006604901,0.017757518,0.0007958697,0.00087906624,0.000059040995,0.0007080779,0.00029428804,0.04559075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993631,0.00010887626,0.00003951771,0.00011574419,0.00019934194,0.00017340101],"domain_scores_gemma":[0.99929476,0.00008375848,0.00015271611,0.00012007911,0.00013434839,0.00021426124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006807963,0.00088407844,0.0008414239,0.0027682434,0.0018485562,0.0037928934,0.0013294973,0.0015310068,0.011831081],"category_scores_gemma":[0.0016122398,0.00041291362,0.0007291951,0.0015657381,0.0032660146,0.0047716205,0.0027349123,0.0024165118,0.0018141158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026751883,0.0000073463425,0.00006759644,0.00000923006,0.0000022373135,0.000037416234,0.000047092995,0.00035693627,0.00035893096,0.99637717,0.00061808486,0.0020912653],"study_design_scores_gemma":[0.000014195642,0.000016396058,0.00012585286,0.0000069208186,0.000004018931,0.00014968021,0.00009164097,0.0033693437,0.00035381003,0.99188423,0.0039696693,0.000014179906],"about_ca_topic_score_codex":0.0011563193,"about_ca_topic_score_gemma":0.0007101156,"teacher_disagreement_score":0.011831081,"about_ca_system_score_codex":0.0014210835,"about_ca_system_score_gemma":0.0011403321,"threshold_uncertainty_score":0.039578915},"labels":[],"label_agreement":null},{"id":"W1774231936","doi":"10.1090/s1088-4165-01-00110-8","title":"Comparisons of general linear groups and their metaplectic coverings II","year":2001,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Algorithm; Artificial intelligence; Annotation; Computer science; Mathematics","score_opus":0.03564655162008757,"score_gpt":0.33012005793968685,"score_spread":0.2944735063195993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1774231936","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48252982,0.0028952572,0.07982482,0.0012693527,0.00058044936,0.000093070106,0.0012687789,0.00080919306,0.4307293],"genre_scores_gemma":[0.95218045,0.0009800247,0.011166629,0.0001690611,0.0003048593,0.000065948676,0.0009233302,0.00021816834,0.033991598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926823,0.00016912552,0.000048649927,0.0001522637,0.0001734378,0.00018835152],"domain_scores_gemma":[0.9990551,0.00034960714,0.00015441219,0.00014452396,0.00016871444,0.00012753527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005820304,0.00042971325,0.00046644016,0.0031204992,0.0010949402,0.0027968984,0.0004992744,0.00047624685,0.019266415],"category_scores_gemma":[0.002093687,0.00022729785,0.00057721965,0.002026361,0.0014309619,0.003174852,0.0017854356,0.0008431423,0.0024352262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014565961,0.000015201634,0.0008753975,0.00007401908,0.000020284575,0.00006737792,0.00042322575,0.0010195915,0.0012255766,0.97047365,0.0027938948,0.022866258],"study_design_scores_gemma":[0.000020982325,0.00009064152,0.0028569466,0.00005727079,0.000036035835,0.0002530714,0.00054741226,0.002853754,0.0023696704,0.957318,0.03357277,0.000023524157],"about_ca_topic_score_codex":0.0005413301,"about_ca_topic_score_gemma":0.0005438386,"teacher_disagreement_score":0.019266415,"about_ca_system_score_codex":0.0012447722,"about_ca_system_score_gemma":0.0003589535,"threshold_uncertainty_score":0.06445259},"labels":[],"label_agreement":null},{"id":"W1784243648","doi":"10.1155/imrn.2005.959","title":"","year":2005,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada; National Science Council","keywords":"Mathematics","score_opus":0.2447811775331045,"score_gpt":0.5174050250146618,"score_spread":0.2726238474815573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1784243648","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09835314,0.023975274,0.40677378,0.01685969,0.010448461,0.00014684848,0.0010181069,0.0007151553,0.4417096],"genre_scores_gemma":[0.49458036,0.0176835,0.12400092,0.00816168,0.0062916977,0.00017692473,0.0015742023,0.0007716509,0.34675914],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9995902,0.000110483095,0.000022987871,0.00009865792,0.000114310365,0.00006343319],"domain_scores_gemma":[0.99949753,0.000110332396,0.000047672867,0.000104137645,0.00015071649,0.000089606074],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004982677,0.0007985405,0.0008049327,0.0015221577,0.0014965293,0.0018591328,0.0006053982,0.001356325,0.016260535],"category_scores_gemma":[0.0016631617,0.0002683518,0.00066033105,0.0010939919,0.0012044212,0.0029610656,0.001551197,0.001595625,0.006341634],"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":[0.00006936437,0.000054514177,0.00080364494,0.00028646534,0.000033159697,0.00028866009,0.00077033235,0.00091800705,0.0014851475,0.9222605,0.029757587,0.043272443],"study_design_scores_gemma":[0.000018241644,0.0000774577,0.0013990863,0.00014829001,0.00006645095,0.0010100545,0.00050382025,0.006010221,0.0047161994,0.5939869,0.39200938,0.000053792995],"about_ca_topic_score_codex":0.00075990445,"about_ca_topic_score_gemma":0.0013909155,"teacher_disagreement_score":0.9837395,"about_ca_system_score_codex":0.0006515222,"about_ca_system_score_gemma":0.00045661526,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W1789097125","doi":"10.1090/s1088-4165-03-00183-3","title":"Virtual transfer factors","year":2003,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","score_opus":0.03625074066206114,"score_gpt":0.32551108002369356,"score_spread":0.2892603393616324,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1789097125","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11964636,0.0012160076,0.26121175,0.0025139728,0.0015419245,0.00013940214,0.00069612055,0.0017366381,0.6112979],"genre_scores_gemma":[0.7795767,0.000664199,0.027007444,0.0007866989,0.0008528488,0.00017707353,0.0006134561,0.00094501337,0.1893765],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992084,0.00014606184,0.000035190697,0.00021805905,0.00021000936,0.00018232483],"domain_scores_gemma":[0.9994281,0.00009323282,0.00005154323,0.00014342628,0.00016336862,0.00012032624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078970415,0.0009826064,0.0004909507,0.0018751044,0.001514813,0.003134572,0.00084551284,0.0010203909,0.0357234],"category_scores_gemma":[0.0021254728,0.00030292314,0.0008250237,0.0007193561,0.0027560845,0.0050328076,0.0025116843,0.0017173388,0.007885778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001713228,0.000008600598,0.00005799851,0.000011837299,0.0000025823506,0.00003396397,0.000084380015,0.00024260885,0.0004724061,0.9918343,0.0014799575,0.0057542445],"study_design_scores_gemma":[0.000017290533,0.000037702623,0.000181542,0.000022537368,0.000006970228,0.00019751184,0.00014167753,0.002577828,0.001996269,0.95259255,0.04220925,0.000018991095],"about_ca_topic_score_codex":0.0006932225,"about_ca_topic_score_gemma":0.00044077914,"teacher_disagreement_score":0.0357234,"about_ca_system_score_codex":0.0019734455,"about_ca_system_score_gemma":0.00074857887,"threshold_uncertainty_score":0.11950666},"labels":[],"label_agreement":null},{"id":"W1795036250","doi":"10.1016/j.aim.2016.03.024","title":"Gaiotto–Witten superpotential and Whittaker D-modules on monopoles","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto; Perimeter Institute","funders":"National Science Foundation of Sri Lanka; Government Council on Grants, Russian Federation; Simons Foundation; National Research University Higher School of Economics; National Science Foundation","keywords":"Superpotential; Mathematics; Lattice (music); Pure mathematics; Space (punctuation); Interpretation (philosophy); Mathematical physics; Physics; Supersymmetry","score_opus":0.024482168833419048,"score_gpt":0.32870013261038494,"score_spread":0.3042179637769659,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1795036250","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6631257,0.004060291,0.076844804,0.0051721707,0.0015115181,0.00010423906,0.0005941632,0.00056298357,0.24802414],"genre_scores_gemma":[0.92273504,0.0014398681,0.01299792,0.0007964108,0.0013753646,0.00008086566,0.00039605325,0.00030802653,0.059870597],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959713,0.00010912121,0.000022488517,0.00006830441,0.00011098919,0.00009201844],"domain_scores_gemma":[0.9994641,0.0000814867,0.00010252831,0.00007587866,0.000066158886,0.00020981123],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007242247,0.0017839092,0.0012857278,0.0043550585,0.0019745033,0.0027578834,0.0017858801,0.0023883395,0.009502547],"category_scores_gemma":[0.0012471325,0.00074438815,0.0012092434,0.0022766981,0.0025592525,0.005222746,0.0028262066,0.002788206,0.0017952798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029332012,0.000021076583,0.00008779222,0.000030768188,0.000009991056,0.00019024416,0.00010696552,0.0004005788,0.0014239876,0.9949056,0.0006794834,0.0021141588],"study_design_scores_gemma":[0.000018071229,0.00001343612,0.00019003317,0.000012682411,0.000007393606,0.00024408373,0.000053030828,0.0031259558,0.0003485271,0.9942268,0.0017464414,0.000013495811],"about_ca_topic_score_codex":0.00072494807,"about_ca_topic_score_gemma":0.00092214724,"teacher_disagreement_score":0.009502547,"about_ca_system_score_codex":0.0012920414,"about_ca_system_score_gemma":0.00066644914,"threshold_uncertainty_score":0.031789243},"labels":[],"label_agreement":null},{"id":"W1796936645","doi":"10.1103/physrevlett.116.040501","title":"Permutation Symmetry Determines the Discrete Wigner Function","year":2016,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":47,"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":"Industry Canada; Deutsche Forschungsgemeinschaft; Ontario Ministry of Research, Innovation and Science; Government of Canada","keywords":"Wigner distribution function; Symmetry (geometry); Covariant transformation; Permutation (music); Physics; Quantum mechanics; Operator (biology); Symmetry group; Mathematical physics; Pure mathematics; Mathematics; Quantum","score_opus":0.02404857322554,"score_gpt":0.3261908209551883,"score_spread":0.3021422477296483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1796936645","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68172574,0.00032347627,0.2458471,0.0010157711,0.00014395842,0.000069561975,0.0002240474,0.00025187252,0.070398465],"genre_scores_gemma":[0.9817594,0.00017475265,0.012580277,0.00013473454,0.00006940555,0.000048169215,0.00009594559,0.000058416466,0.005078853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995504,0.00009274201,0.000016816046,0.00008342177,0.00013304953,0.00012349414],"domain_scores_gemma":[0.99932444,0.00023454094,0.000093539296,0.00017443125,0.000084232066,0.00008883258],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059095625,0.000372363,0.0003783779,0.00097566086,0.00066987635,0.0015512694,0.000599535,0.00085039105,0.0037352198],"category_scores_gemma":[0.002094277,0.00027622638,0.00037964902,0.0003783761,0.0029337506,0.0020705084,0.00074878003,0.0010162431,0.0007634258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024101548,0.000016241433,0.00025743007,0.000016669246,0.000002589463,0.00008290215,0.00006202568,0.0015461176,0.0047139223,0.9887961,0.00049228856,0.0039896085],"study_design_scores_gemma":[0.000016622776,0.00003212091,0.00071684294,0.0000118977905,0.000004252625,0.00022855394,0.00005509116,0.04464974,0.0040765037,0.9487001,0.0014826363,0.000025727524],"about_ca_topic_score_codex":0.0006588453,"about_ca_topic_score_gemma":0.0003354283,"teacher_disagreement_score":0.0037352198,"about_ca_system_score_codex":0.00062179007,"about_ca_system_score_gemma":0.0005821347,"threshold_uncertainty_score":0.012495518},"labels":[],"label_agreement":null},{"id":"W1797546582","doi":"10.1090/s1088-4165-01-00112-1","title":"The closure diagrams for nilpotent orbits of the real forms EVI and EVII of 𝐄₇","year":2001,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.026836018996512775,"score_gpt":0.3251222934219757,"score_spread":0.2982862744254629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1797546582","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18613443,0.0018189842,0.278896,0.0018388433,0.0018049415,0.0002517221,0.0026961253,0.0037233045,0.5228356],"genre_scores_gemma":[0.8573433,0.00093294185,0.043076586,0.0005605284,0.00037085326,0.0003762243,0.0020378598,0.0016019624,0.09369969],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991721,0.000134702,0.00005374934,0.00018029108,0.0002362658,0.00022290254],"domain_scores_gemma":[0.9992125,0.0002204146,0.00010494239,0.000060222956,0.00026035515,0.0001414567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007181136,0.0005804808,0.00047189445,0.0020044404,0.0016029876,0.0030964129,0.0007013956,0.00081597886,0.022229422],"category_scores_gemma":[0.002044955,0.0004091628,0.000611979,0.00057134754,0.0019104421,0.0044490215,0.0017530792,0.0015385345,0.0039455025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049408427,0.000009816115,0.00012593214,0.000058543395,0.000003721161,0.000120588455,0.0005030167,0.00013902086,0.0011257234,0.9869327,0.0032916628,0.0076398836],"study_design_scores_gemma":[0.00004801195,0.000042154483,0.0005644475,0.00007934985,0.000012546675,0.00041501079,0.0009702363,0.0020190072,0.0049110907,0.9142621,0.07663272,0.00004321865],"about_ca_topic_score_codex":0.0011642273,"about_ca_topic_score_gemma":0.00093761605,"teacher_disagreement_score":0.022229422,"about_ca_system_score_codex":0.0013058095,"about_ca_system_score_gemma":0.00063795445,"threshold_uncertainty_score":0.07436484},"labels":[],"label_agreement":null},{"id":"W1799440065","doi":"10.1142/s0218196714500106","title":"The cogrowth series for<font>BS</font>(N, N) is D-finite","year":2014,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Advanced Algebra and Geometry","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":"York University; University of British Columbia","funders":"","keywords":"Series (stratigraphy); Algebraic number; Algebra over a field; Neumann series; Function series; Alternating series","score_opus":0.018331782246690537,"score_gpt":0.31337857878051417,"score_spread":0.29504679653382365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1799440065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64564,0.0009298514,0.16829576,0.0013254848,0.001057959,0.000101810045,0.00081034267,0.0015377178,0.180301],"genre_scores_gemma":[0.9419799,0.00048328924,0.028060723,0.000285333,0.00021515501,0.000106073574,0.0006789709,0.0006283767,0.02756224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995566,0.00006863283,0.000019160336,0.000084809726,0.00017103794,0.00009975918],"domain_scores_gemma":[0.9991467,0.00024094903,0.00011676038,0.0001502654,0.0001843114,0.00016109414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007333517,0.0008000874,0.00048303406,0.0027893959,0.0013033573,0.0022349919,0.001052888,0.00068467035,0.01721698],"category_scores_gemma":[0.002938525,0.0002290769,0.0007055713,0.0010267816,0.0021544746,0.0031467061,0.001493399,0.0015931968,0.0033443037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009550495,0.000042482847,0.00086768466,0.00009549794,0.000012344823,0.00015283977,0.00027626788,0.0034276284,0.005580922,0.9664882,0.0033169698,0.019643655],"study_design_scores_gemma":[0.000023851715,0.000055148263,0.0015593008,0.000072765164,0.000017699516,0.00043855357,0.00021330529,0.02891106,0.014021106,0.93322986,0.021371236,0.000086137276],"about_ca_topic_score_codex":0.0008648258,"about_ca_topic_score_gemma":0.0012394111,"teacher_disagreement_score":0.01721698,"about_ca_system_score_codex":0.0012203407,"about_ca_system_score_gemma":0.0005975569,"threshold_uncertainty_score":0.057596564},"labels":[],"label_agreement":null},{"id":"W1801981974","doi":"10.1007/s00026-017-0350-4","title":"Generalized Polarization Modules","year":2017,"lang":"en","type":"article","venue":"Annals of Combinatorics","topic":"Advanced Algebra and Geometry","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":"Vector space; Polarization (electrochemistry); Direct product; Homogeneous; Operator (biology); Operator theory; Space (punctuation)","score_opus":0.11797032345961282,"score_gpt":0.3901266822152116,"score_spread":0.27215635875559874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1801981974","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24289852,0.0015050941,0.11284528,0.0051964093,0.0012836208,0.00008569146,0.0008031844,0.0006823054,0.63469994],"genre_scores_gemma":[0.81501836,0.0013954785,0.01493287,0.0012564817,0.0011771027,0.00008522749,0.00077911926,0.0003437191,0.16501181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994591,0.00010875242,0.000020825615,0.0001321517,0.00016900817,0.00011007623],"domain_scores_gemma":[0.9995753,0.000049809052,0.000050997438,0.00008820261,0.00011886764,0.0001167107],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050763803,0.0008819733,0.0006743377,0.002041081,0.0016866085,0.0035425622,0.0007035499,0.0008394979,0.0168894],"category_scores_gemma":[0.0008327366,0.0005095753,0.0006487234,0.0014279826,0.003006692,0.006777056,0.0034047961,0.0034221204,0.0031853362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000922492,0.000007703226,0.0000635369,0.000009893911,0.0000039389734,0.000023395816,0.000076870114,0.00006806101,0.00037553682,0.99555737,0.001336256,0.0024681904],"study_design_scores_gemma":[0.0000072189364,0.0000068039903,0.00021546842,0.0000074224145,0.000008541305,0.00014547157,0.00008610015,0.0004585619,0.00040995394,0.9872922,0.011354811,0.0000075511807],"about_ca_topic_score_codex":0.00040120538,"about_ca_topic_score_gemma":0.00040369466,"teacher_disagreement_score":0.0168894,"about_ca_system_score_codex":0.00093815173,"about_ca_system_score_gemma":0.0005217303,"threshold_uncertainty_score":0.056500673},"labels":[],"label_agreement":null},{"id":"W180221021","doi":"","title":"Strong Macdonald Theory and the Brylinski Filtration for Affine Lie Algebras","year":2011,"lang":"en","type":"article","venue":"eScholarship (California Digital Library)","topic":"Advanced Algebra and Geometry","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":"Mathematics; Cohomology; Lie algebra; Nilpotent; Subalgebra; Pure mathematics; Loop algebra; Jacobi identity; Affine Lie algebra; Algebra over a field; Combinatorics; Current algebra","score_opus":0.030707826710175842,"score_gpt":0.24927098005938708,"score_spread":0.21856315334921123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W180221021","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7020452,0.0014308157,0.16317579,0.0026491897,0.00019247347,0.000068440495,0.00029621355,0.0004090139,0.12973289],"genre_scores_gemma":[0.9676867,0.0004675746,0.0124119995,0.0002900017,0.00021871572,0.000054908956,0.00012442796,0.0000404993,0.018705187],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995937,0.00006437577,0.000019665693,0.000059731385,0.00015549747,0.000107079664],"domain_scores_gemma":[0.99927026,0.0001436478,0.00013290902,0.00009517985,0.00014696489,0.00021094935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007935049,0.00036495258,0.00042022212,0.001492927,0.0012812366,0.0017043443,0.00083676894,0.00039828048,0.0043801153],"category_scores_gemma":[0.0016811385,0.00021655975,0.00065366103,0.0007220526,0.0024595899,0.003450735,0.002264864,0.0014084372,0.0005655303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000061702,0.000005776721,0.00015280285,0.00001236932,0.000001909635,0.00004685608,0.00014367141,0.00025133326,0.00083074823,0.996525,0.00033372827,0.00168968],"study_design_scores_gemma":[0.000012424333,0.000018228067,0.0004797938,0.0000123174705,0.000005163131,0.000117578464,0.000092996255,0.004728885,0.0009211408,0.9890513,0.0045470777,0.000013100293],"about_ca_topic_score_codex":0.0020785904,"about_ca_topic_score_gemma":0.001695594,"teacher_disagreement_score":0.0043801153,"about_ca_system_score_codex":0.0018848125,"about_ca_system_score_gemma":0.0010450891,"threshold_uncertainty_score":0.014652908},"labels":[],"label_agreement":null},{"id":"W1802797648","doi":"10.1353/ajm.2015.0045","title":"The local Langlands correspondence for GSp 4 over local function fields","year":2015,"lang":"en","type":"preprint","venue":"American Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"","keywords":"Function (biology); Mathematics; Langlands dual group; Physics; Pure mathematics","score_opus":0.03429693527129693,"score_gpt":0.33345706028076894,"score_spread":0.299160125009472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1802797648","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5666911,0.0010514819,0.16342531,0.006322604,0.00090995576,0.000110669076,0.0005463136,0.0006967607,0.2602459],"genre_scores_gemma":[0.9609744,0.000429048,0.010308132,0.0006474231,0.0005095634,0.00008074261,0.00024490754,0.00014714077,0.026658636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992391,0.00020088929,0.000040013583,0.00014259742,0.00017959063,0.00019783986],"domain_scores_gemma":[0.9990933,0.00027624544,0.00014009321,0.00010977287,0.00016991871,0.00021064203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012011593,0.000862139,0.00075991347,0.0020396544,0.0022743347,0.0028523253,0.00077853026,0.0010871892,0.013249541],"category_scores_gemma":[0.0018039494,0.00037659032,0.0010859345,0.0008847796,0.002916966,0.0066337907,0.003767201,0.0029627767,0.002172119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028822868,0.000018951032,0.00018978551,0.000027829159,0.000005590179,0.00012172759,0.0002243885,0.00025854754,0.0007773959,0.9952814,0.0008076126,0.0022578752],"study_design_scores_gemma":[0.000021505402,0.000045256686,0.0002952748,0.000013113508,0.000010571383,0.00021362756,0.00017083538,0.002226409,0.001115158,0.9918711,0.0040043117,0.000012672213],"about_ca_topic_score_codex":0.0005004336,"about_ca_topic_score_gemma":0.0003791584,"teacher_disagreement_score":0.013249541,"about_ca_system_score_codex":0.0013629515,"about_ca_system_score_gemma":0.0005909968,"threshold_uncertainty_score":0.04432416},"labels":[],"label_agreement":null},{"id":"W180573234","doi":"10.1007/978-1-4614-7621-4_13","title":"The Largest Roots of the Mandelbrot Polynomials","year":2013,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Advanced Algebra and Geometry","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":"Western University","funders":"","keywords":"Mandelbrot set; Mathematics; Simple (philosophy); Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis; Fractal; Philosophy","score_opus":0.024258588238651537,"score_gpt":0.27472038250709707,"score_spread":0.25046179426844556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W180573234","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2102347,0.02422954,0.25798148,0.0101557635,0.0025855284,0.00006759889,0.000635114,0.0008221189,0.4932881],"genre_scores_gemma":[0.8156453,0.009530094,0.07879091,0.0008566163,0.0031190186,0.00007331644,0.00029421796,0.00053401577,0.09115654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994784,0.00009754338,0.000017477692,0.000110836285,0.00020989469,0.00008582768],"domain_scores_gemma":[0.99865556,0.0007113709,0.0001499923,0.00017458615,0.00014146483,0.00016707255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001040482,0.00062853476,0.00073250616,0.0019592124,0.0011540046,0.0027319994,0.00090429286,0.0010384426,0.009728798],"category_scores_gemma":[0.0071927663,0.00056931283,0.00047215447,0.0013705707,0.0031388975,0.003634562,0.0013123432,0.0034656904,0.0024823144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051736897,0.000010071512,0.00009956327,0.00007576585,0.0000040291334,0.00005218695,0.00014961991,0.0007305082,0.002157402,0.9617922,0.0032226476,0.03165425],"study_design_scores_gemma":[0.000012907879,0.000012626653,0.00030649576,0.00003299904,0.0000046205078,0.00019613783,0.000044186243,0.0027964052,0.0011956745,0.98516774,0.010212986,0.000017149352],"about_ca_topic_score_codex":0.0005961401,"about_ca_topic_score_gemma":0.00089516136,"teacher_disagreement_score":0.009728798,"about_ca_system_score_codex":0.0010063329,"about_ca_system_score_gemma":0.0008566688,"threshold_uncertainty_score":0.032546043},"labels":[],"label_agreement":null},{"id":"W1822231104","doi":"10.1090/s0002-9939-02-06918-6","title":"On the correspondence of representations between 𝐺𝐿(𝑛) and division algebras","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":27,"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 Toronto","keywords":"Division (mathematics); Algebra over a field; Mathematics; Pure mathematics; Psychology; Arithmetic","score_opus":0.04029443495928326,"score_gpt":0.3085783332711729,"score_spread":0.26828389831188965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1822231104","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.106421076,0.0020255735,0.48893556,0.005619649,0.0009681098,0.000104460625,0.0011571855,0.0011966875,0.39357162],"genre_scores_gemma":[0.8376928,0.001840107,0.090465404,0.0020561027,0.00089871517,0.00024309075,0.001525124,0.0008281105,0.06445057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976609,0.0007816168,0.00013871952,0.00050854834,0.0005528704,0.00035743654],"domain_scores_gemma":[0.997056,0.0013893569,0.00026494954,0.00050059415,0.0005473008,0.00024181655],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023534533,0.000661437,0.0006688435,0.0018356108,0.002602409,0.0057055857,0.0014374809,0.0018957512,0.018259473],"category_scores_gemma":[0.008177824,0.00062714354,0.0013925338,0.0025878514,0.003946638,0.013975502,0.004243682,0.0039316015,0.004470075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014585367,0.000007549706,0.000046585483,0.0000114062295,0.0000021797216,0.000025748745,0.00016950324,0.0001785215,0.00012123004,0.99480337,0.0012728333,0.0033463766],"study_design_scores_gemma":[0.000006897241,0.000008110436,0.000065053166,0.000015161815,0.0000029237917,0.000043859618,0.00008301396,0.0012982411,0.00022055548,0.9934563,0.004792538,0.000007488991],"about_ca_topic_score_codex":0.0017734466,"about_ca_topic_score_gemma":0.0012558055,"teacher_disagreement_score":0.018259473,"about_ca_system_score_codex":0.0022269313,"about_ca_system_score_gemma":0.0010541511,"threshold_uncertainty_score":0.061083972},"labels":[],"label_agreement":null},{"id":"W1825449485","doi":"10.1090/s1088-4165-02-00134-6","title":"Admissible nilpotent orbits of real and 𝑝-adic split exceptional groups","year":2002,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Algorithm; Annotation; Computer science; Artificial intelligence","score_opus":0.04024480858678454,"score_gpt":0.3101467321066813,"score_spread":0.2699019235198968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1825449485","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8772263,0.00031377948,0.041977532,0.00034133266,0.00017617666,0.000043793658,0.00019519511,0.00021062997,0.079515226],"genre_scores_gemma":[0.9826665,0.00012031017,0.0044310815,0.000041661042,0.000054743712,0.000019119509,0.00018191728,0.000052395273,0.012432408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995357,0.00006042437,0.00003211937,0.000078617566,0.00014170608,0.00015146333],"domain_scores_gemma":[0.99956614,0.000088029774,0.0000736714,0.000048326263,0.00010055262,0.00012329579],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000467461,0.0005563998,0.00033492487,0.0021791323,0.0012385896,0.0023451217,0.0005434678,0.0004689528,0.006939269],"category_scores_gemma":[0.0010685322,0.00019358918,0.00052192627,0.0005891122,0.002200941,0.0019612657,0.0016246438,0.0008776877,0.0013217863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007854353,0.000026589223,0.00095976045,0.000040524006,0.000008400546,0.00025620658,0.0010102035,0.0010500043,0.0028263957,0.98191893,0.00065597735,0.011168516],"study_design_scores_gemma":[0.00002121146,0.00006392284,0.0013855565,0.000044230284,0.000018117431,0.00037682967,0.0015992939,0.0066266544,0.008636624,0.97000474,0.011185744,0.00003702157],"about_ca_topic_score_codex":0.0010785346,"about_ca_topic_score_gemma":0.00084895396,"teacher_disagreement_score":0.006939269,"about_ca_system_score_codex":0.0010323338,"about_ca_system_score_gemma":0.0005345754,"threshold_uncertainty_score":0.023214161},"labels":[],"label_agreement":null},{"id":"W1832765779","doi":"10.1090/s1088-4165-02-00132-2","title":"Principal nilpotent orbits and reducible principal series","year":2002,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Algorithm; Annotation; Computer science; Semantics (computer science); Artificial intelligence; Type (biology); Mathematics; Biology; Programming language","score_opus":0.047717158856093574,"score_gpt":0.31918776207562227,"score_spread":0.2714706032195287,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1832765779","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51190335,0.001133164,0.13346966,0.0023745354,0.00076986064,0.00011436466,0.00051153946,0.0010132244,0.34871024],"genre_scores_gemma":[0.9445098,0.0005888122,0.014403529,0.00026999958,0.000336243,0.00004064261,0.000308486,0.00019290243,0.03934958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947673,0.00008972109,0.000030129077,0.000118707074,0.0001697293,0.000114905386],"domain_scores_gemma":[0.9993831,0.00016810835,0.00007850877,0.000094110044,0.00016812596,0.00010800033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047905263,0.00051625556,0.00041701295,0.0012908882,0.0013503283,0.0020251945,0.0005882308,0.000504228,0.010144517],"category_scores_gemma":[0.0018039424,0.00021719582,0.00061234355,0.0005351112,0.00268076,0.0031671168,0.001927173,0.0016789527,0.0018907612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002177332,0.000011458184,0.00017135698,0.000022181555,0.000003345211,0.00008006067,0.00027152244,0.00029925202,0.0005907032,0.9930473,0.0008206131,0.0046604564],"study_design_scores_gemma":[0.000011289898,0.000025952046,0.00024304002,0.000013963117,0.0000059791,0.00016000711,0.00020258532,0.0019956287,0.0015789695,0.9859898,0.009761006,0.000011881962],"about_ca_topic_score_codex":0.0010660173,"about_ca_topic_score_gemma":0.000954956,"teacher_disagreement_score":0.010144517,"about_ca_system_score_codex":0.0013811996,"about_ca_system_score_gemma":0.0007067541,"threshold_uncertainty_score":0.03393674},"labels":[],"label_agreement":null},{"id":"W1861085200","doi":"10.1090/s0025-5718-2013-02706-8","title":"Fundamental invariants for the action of $SL_3(\\mathbb {C}) \\times SL_3(\\mathbb {C}) \\times SL_3(\\mathbb {C})$ on $3 \\times 3 \\times 3$ arrays","year":2013,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Advanced Algebra and Geometry","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":"Simon Fraser University; University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monomial; Combinatorics; Lie algebra; Homogeneous; Action (physics); Lie group; Group (periodic table); Algebra over a field; Pure mathematics; Physics","score_opus":0.059420203348777845,"score_gpt":0.33881768487762426,"score_spread":0.2793974815288464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1861085200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83074534,0.00024575583,0.07534881,0.0006123717,0.000353017,0.00007139254,0.00036775938,0.00042324467,0.09183229],"genre_scores_gemma":[0.968839,0.00022297206,0.012821388,0.00016855085,0.00019767476,0.00006783494,0.00036097935,0.00025670903,0.017064895],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997576,0.000017371189,0.000007518387,0.00003559208,0.00006441734,0.00011746254],"domain_scores_gemma":[0.9998336,0.000024366258,0.00005437415,0.000021078191,0.000022317512,0.00004425919],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027465727,0.00061124796,0.00032075326,0.0014509452,0.0010672077,0.001405531,0.00077719084,0.00061329216,0.010535274],"category_scores_gemma":[0.0003935392,0.00018581127,0.0009486543,0.0005507904,0.0023410767,0.0014501612,0.0009572402,0.0011978465,0.0017381501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004473996,0.00006445836,0.00037863984,0.000022404965,0.000005510627,0.00008417288,0.00043166094,0.003122044,0.0078114844,0.9753729,0.0013332126,0.011328769],"study_design_scores_gemma":[0.000026472771,0.00010714359,0.0013218316,0.000023116843,0.000013188686,0.0001362974,0.0003617771,0.021106308,0.013104824,0.9538233,0.009903896,0.00007186862],"about_ca_topic_score_codex":0.00195257,"about_ca_topic_score_gemma":0.002374584,"teacher_disagreement_score":0.010535274,"about_ca_system_score_codex":0.0015281613,"about_ca_system_score_gemma":0.0009861238,"threshold_uncertainty_score":0.035243988},"labels":[],"label_agreement":null},{"id":"W1863689192","doi":"10.37236/2126","title":"Poset Pinball, Highest Forms, and $(n-2,2)$ Springer Varieties","year":2012,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Partially ordered set; Variety (cybernetics); Equivariant map; Bijection; Nilpotent; Equivariant cohomology; Type (biology); Symmetric function; Dimension (graph theory); Cohomology; Nilpotent matrix; Partition (number theory); Rank (graph theory); Pure mathematics; Square matrix; Symmetric matrix","score_opus":0.015944195118463424,"score_gpt":0.27648969835886067,"score_spread":0.26054550324039727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1863689192","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.866774,0.0003404916,0.058477923,0.00042436353,0.00016129766,0.00004785082,0.00009572432,0.0001574053,0.07352081],"genre_scores_gemma":[0.97968376,0.00015534282,0.005407121,0.00007644233,0.000076047494,0.000034503595,0.00007465189,0.000043673153,0.01444844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996873,0.000054352615,0.000011631147,0.00008308241,0.000070819646,0.00009285605],"domain_scores_gemma":[0.99978966,0.000039981147,0.00004489439,0.000020389158,0.000022527991,0.00008257964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002493754,0.0004780074,0.00031484832,0.0010832363,0.0015510516,0.0019136018,0.00059411966,0.00043365365,0.0065328307],"category_scores_gemma":[0.0006134345,0.00021270881,0.00044459983,0.00053803023,0.0024033275,0.0027569563,0.0017990179,0.0010990865,0.00048873475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027196704,0.00001215616,0.00045356486,0.000015916796,0.0000031973852,0.00013036489,0.00040519223,0.00096544303,0.0014646533,0.993288,0.000325512,0.0029087758],"study_design_scores_gemma":[0.000025464351,0.00009402965,0.0013968532,0.000019510291,0.000011436195,0.00044484355,0.0009611178,0.007569473,0.0046666265,0.9733236,0.01144558,0.000041500785],"about_ca_topic_score_codex":0.0007280688,"about_ca_topic_score_gemma":0.0007860194,"teacher_disagreement_score":0.0065328307,"about_ca_system_score_codex":0.0008304505,"about_ca_system_score_gemma":0.00035454583,"threshold_uncertainty_score":0.02185446},"labels":[],"label_agreement":null},{"id":"W1872661085","doi":"10.1090/s1088-4165-01-00124-8","title":"The closure diagram for nilpotent orbits of the split real form of 𝐸₇","year":2001,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Algorithm; Computer science; Artificial intelligence","score_opus":0.028334537996897984,"score_gpt":0.3303444531932095,"score_spread":0.3020099151963115,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1872661085","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19124313,0.0014133202,0.12748769,0.0016039686,0.0012718468,0.00019821835,0.0021563943,0.0030620012,0.67156345],"genre_scores_gemma":[0.87863207,0.0007643488,0.02379131,0.000429452,0.00022898012,0.00018654944,0.0017365948,0.0009611671,0.09326957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965894,0.00004165195,0.000018880477,0.00007941704,0.00009837992,0.00010272282],"domain_scores_gemma":[0.99971324,0.00006863088,0.000032235126,0.000022981012,0.000091187554,0.00007182632],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034223322,0.00043302675,0.00035899473,0.0014056667,0.0012868041,0.0020994702,0.0005055534,0.00059366995,0.030729862],"category_scores_gemma":[0.00060734584,0.0002244155,0.00043568105,0.00038430234,0.0011702608,0.0030108858,0.001255378,0.00096305634,0.0048304484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008459504,0.00001568118,0.00015935636,0.000099223784,0.0000051814372,0.00036974868,0.00053177914,0.00017866687,0.003052716,0.9811748,0.004907022,0.009421173],"study_design_scores_gemma":[0.00008181468,0.00007888342,0.0010167923,0.00009673002,0.000014403642,0.00082279975,0.0012011853,0.0029586686,0.00632381,0.86645925,0.12090029,0.000045270954],"about_ca_topic_score_codex":0.0014881577,"about_ca_topic_score_gemma":0.0011169784,"teacher_disagreement_score":0.030729862,"about_ca_system_score_codex":0.0010831599,"about_ca_system_score_gemma":0.00049012963,"threshold_uncertainty_score":0.10280162},"labels":[],"label_agreement":null},{"id":"W1892659804","doi":"10.1007/s00209-011-0850-6","title":"On the fundamental group of $${{\\rm Hom}({\\mathbb Z}^k,G)}$$","year":2011,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"","keywords":"Mathematics; Variety (cybernetics); Group (periodic table); Base (topology); Combinatorics; Space (punctuation); Algebra over a field; Pure mathematics; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.05318981776287704,"score_gpt":0.26946727149028676,"score_spread":0.21627745372740972,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1892659804","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56193733,0.0011439935,0.11231034,0.0071074143,0.0020766244,0.00015736325,0.0010190746,0.00058250094,0.31366536],"genre_scores_gemma":[0.9175313,0.000594145,0.011702752,0.0011491014,0.0011031525,0.00016462771,0.00077428983,0.00044755722,0.06653299],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865913,0.0002496532,0.000033828022,0.00034012317,0.0002691349,0.0004481265],"domain_scores_gemma":[0.9988858,0.00032842436,0.00022878133,0.00010108935,0.00018732893,0.00026861255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001019649,0.0014960783,0.0013512553,0.003181115,0.004532012,0.0057048737,0.0021903233,0.0023134844,0.020961253],"category_scores_gemma":[0.0017069401,0.0006821459,0.0012442772,0.0011919877,0.0069864066,0.0059528975,0.0059754257,0.004006459,0.0027692928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055319313,0.000017320175,0.00007058229,0.000011814836,0.0000072047774,0.00004055233,0.00027437997,0.00015195245,0.00069320423,0.9953377,0.00095956714,0.002380324],"study_design_scores_gemma":[0.000028085737,0.000024619818,0.00027241095,0.000012067527,0.0000061022124,0.00008430829,0.00015768207,0.0011788185,0.00054751686,0.994058,0.0036069234,0.000023563838],"about_ca_topic_score_codex":0.0019875218,"about_ca_topic_score_gemma":0.0014027335,"teacher_disagreement_score":0.020961253,"about_ca_system_score_codex":0.0026900684,"about_ca_system_score_gemma":0.001141824,"threshold_uncertainty_score":0.07012236},"labels":[],"label_agreement":null},{"id":"W1893450748","doi":"10.1090/s0002-9939-02-06549-8","title":"New identities of differential operators from orbital integrals on GL(l,𝐂)","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Differential (mechanical device); Differential operator; Mathematics; Pure mathematics; Orbital elements; Linear differential equation; Mathematical analysis; Differential equation; Algebra over a field; Physics; Quantum mechanics","score_opus":0.024146329579091092,"score_gpt":0.27540221581347973,"score_spread":0.25125588623438866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1893450748","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2874497,0.001205465,0.58076835,0.0015998858,0.0010199335,0.00018184965,0.00036297704,0.0003701375,0.1270418],"genre_scores_gemma":[0.80072,0.0016111978,0.13939594,0.00088050927,0.000807731,0.00022153326,0.00038399416,0.00043087036,0.055548303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953556,0.00008351319,0.000043075248,0.00006492772,0.00019633959,0.00007647072],"domain_scores_gemma":[0.9993344,0.0001435928,0.0001243096,0.00008479525,0.00019101141,0.00012194316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008657921,0.00081181136,0.0006365305,0.002238723,0.0012737821,0.0024807032,0.0010497835,0.000995037,0.0056885225],"category_scores_gemma":[0.0020099508,0.0003707941,0.0011475327,0.0011629531,0.0018234045,0.004612378,0.0022179594,0.0017765033,0.0012141098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005473129,0.000020291709,0.00019829981,0.00002914803,0.000004346514,0.0001787513,0.0002597661,0.0006366014,0.002031633,0.99165386,0.0007198452,0.0042619817],"study_design_scores_gemma":[0.000009092363,0.000014962465,0.00028824806,0.00001991225,0.0000075274247,0.0003585653,0.00013741368,0.016338022,0.0011981982,0.97786456,0.0037448767,0.000018661836],"about_ca_topic_score_codex":0.0005022759,"about_ca_topic_score_gemma":0.0009838215,"teacher_disagreement_score":0.0056885225,"about_ca_system_score_codex":0.00088820606,"about_ca_system_score_gemma":0.000637962,"threshold_uncertainty_score":0.019029975},"labels":[],"label_agreement":null},{"id":"W1921713797","doi":"10.1090/s1088-4165-04-00220-1","title":"Good orbital integrals","year":2004,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Mathematics; Quotient; Zero (linguistics); Lemma (botany); Pure mathematics; Class (philosophy); Hecke algebra; Algebra over a field; Computer science; Artificial intelligence","score_opus":0.03158639615581707,"score_gpt":0.342134900073062,"score_spread":0.310548503917245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1921713797","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6584659,0.001220594,0.11613016,0.0013996022,0.00031584213,0.000058620364,0.00044056607,0.00062122545,0.22134756],"genre_scores_gemma":[0.9778432,0.00028829675,0.0049424367,0.00012691732,0.00019353705,0.0000209334,0.00014576266,0.000097297605,0.016341694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992632,0.00006677457,0.000029703524,0.00012828564,0.00030528495,0.0002067092],"domain_scores_gemma":[0.9993754,0.00013993618,0.000107199514,0.00010722354,0.00013081156,0.00013938743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005930439,0.00041735178,0.00065802265,0.0021602672,0.0022723586,0.00295213,0.0005404413,0.00073152006,0.008341642],"category_scores_gemma":[0.001962856,0.00023945344,0.00072402915,0.0012359604,0.0025866171,0.0039272457,0.0017914183,0.001346454,0.0010311897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001262021,0.0000080693735,0.00030703843,0.000012149153,0.0000037301504,0.00006616245,0.00011863299,0.00023759036,0.0003133451,0.99540967,0.00057913404,0.002931876],"study_design_scores_gemma":[0.000008396919,0.000016635338,0.00057294575,0.000012712824,0.000007520342,0.00026151436,0.0001366446,0.0024729103,0.00069500844,0.9912054,0.0046003032,0.000010055914],"about_ca_topic_score_codex":0.0010384688,"about_ca_topic_score_gemma":0.0008523831,"teacher_disagreement_score":0.008341642,"about_ca_system_score_codex":0.0015801348,"about_ca_system_score_gemma":0.0006638577,"threshold_uncertainty_score":0.027905583},"labels":[],"label_agreement":null},{"id":"W1921992569","doi":"10.1090/conm/562/11130","title":"Conic bundles and Clifford algebras","year":2012,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Algebra and Geometry","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 New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conic section; Clifford algebra; Pure mathematics; Algebra over a field; Geometry","score_opus":0.047093696160189207,"score_gpt":0.31615309904659133,"score_spread":0.2690594028864021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1921992569","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20586938,0.0028138936,0.06405632,0.003272338,0.00040916677,0.000053391435,0.0003576431,0.00041913634,0.72274876],"genre_scores_gemma":[0.9143332,0.0015300482,0.012686186,0.0003194722,0.00036984574,0.000031103988,0.00026767238,0.00011578155,0.07034672],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996816,0.00006858075,0.000016835584,0.000059326623,0.00009855098,0.00007511778],"domain_scores_gemma":[0.9997452,0.00003731366,0.00004885396,0.00003933032,0.000069615155,0.00005970211],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032781862,0.00052040914,0.00024577687,0.0015918775,0.001549006,0.0026002019,0.0005447151,0.0004735211,0.009792778],"category_scores_gemma":[0.0007150866,0.00014108798,0.00020835815,0.001957776,0.002505649,0.0036275235,0.0010180061,0.00094162184,0.0014638382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000031798443,0.0000056327845,0.00008925535,0.000008483209,7.3042384e-7,0.00004233393,0.00010593656,0.00011236695,0.00023529786,0.9961487,0.000763293,0.0024848697],"study_design_scores_gemma":[0.0000057327543,0.000010724219,0.000603918,0.000018273819,0.0000026209243,0.00017332788,0.0002999073,0.0014866423,0.001133291,0.9600985,0.036157466,0.000009638436],"about_ca_topic_score_codex":0.002358481,"about_ca_topic_score_gemma":0.0021575,"teacher_disagreement_score":0.009792778,"about_ca_system_score_codex":0.0014375192,"about_ca_system_score_gemma":0.0005167469,"threshold_uncertainty_score":0.032760084},"labels":[],"label_agreement":null},{"id":"W1957989937","doi":"10.26421/qic13.7-8-8","title":"Galois automorphisms of a symmetric measurement","year":2013,"lang":"en","type":"article","venue":"Quantum Information and Computation","topic":"Advanced Algebra and Geometry","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":"Office of Naval Research; Institut Périmètre de physique théorique; Industry Canada; Government of Canada; John Templeton Foundation","keywords":"Mathematics; Galois group; Dimension (graph theory); Group (periodic table); Automorphism; Pure mathematics; Unitary state; Galois extension; Fundamental theorem of Galois theory; Embedding problem; Galois module; Discrete mathematics; Algebra over a field; Combinatorics","score_opus":0.03935692373493484,"score_gpt":0.2772729987160745,"score_spread":0.2379160749811397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1957989937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80271244,0.00022482414,0.10937491,0.0007623014,0.0002105459,0.000084351435,0.0001469476,0.00027851734,0.08620524],"genre_scores_gemma":[0.98550665,0.00007720155,0.007885962,0.00012268078,0.000074820455,0.000032009357,0.000051804127,0.000030625506,0.006218126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991418,0.00018023989,0.000046992427,0.00017349295,0.00023458846,0.00022269925],"domain_scores_gemma":[0.9991416,0.00023214122,0.00013363999,0.00024247656,0.000100900405,0.00014928562],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000766387,0.00027503722,0.00029532067,0.00090502255,0.0010550442,0.0017336245,0.00039537688,0.0006093848,0.0044355],"category_scores_gemma":[0.0017810693,0.00019063368,0.00068756804,0.00037214265,0.0036891915,0.0019383543,0.001586113,0.0009909505,0.00045337126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013929128,0.000008247165,0.00024639608,0.000008553666,0.0000036734064,0.000056906745,0.00018306186,0.00044282703,0.0015831523,0.9943112,0.00019081442,0.0029511766],"study_design_scores_gemma":[0.000016407033,0.00006112578,0.00080481276,0.000012892726,0.0000058679384,0.00018653649,0.00017355719,0.006689137,0.0038874857,0.98227847,0.005865452,0.000018218698],"about_ca_topic_score_codex":0.00041880226,"about_ca_topic_score_gemma":0.0001926183,"teacher_disagreement_score":0.0044355,"about_ca_system_score_codex":0.0007851102,"about_ca_system_score_gemma":0.00047432727,"threshold_uncertainty_score":0.014838278},"labels":[],"label_agreement":null},{"id":"W1963659587","doi":"10.4153/cjm-2014-008-x","title":"On Varieties of Lie Algebras of Maximal Class","year":2014,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Fields Institute for Research in Mathematical Sciences; Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Isomorphism (crystallography); Pure mathematics; Class (philosophy); Lie algebra; Type (biology); Killing form; Property (philosophy); Lie conformal algebra; Algebra over a field; Adjoint representation of a Lie algebra; Computer science","score_opus":0.02384406731739783,"score_gpt":0.25746658711385795,"score_spread":0.23362251979646012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963659587","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9688014,0.00035324914,0.014224385,0.00023686506,0.0000322167,0.000031937558,0.000077607634,0.00005206302,0.016190317],"genre_scores_gemma":[0.9957747,0.00012250851,0.0020057196,0.00001965068,0.00003994375,0.000013456771,0.000065536326,0.000010419969,0.001948116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993839,0.0001336293,0.000028722967,0.00009812247,0.00015987767,0.00019573777],"domain_scores_gemma":[0.9993924,0.00013080917,0.00015772956,0.000049014256,0.00009159977,0.00017845408],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007159536,0.0005493326,0.00058084994,0.0017709057,0.0015622169,0.0024822308,0.00060857827,0.00061039446,0.0023871502],"category_scores_gemma":[0.0017252917,0.00025813485,0.00058741117,0.0009415537,0.0033194672,0.0029112992,0.0018630143,0.00080729043,0.00022848447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054297634,0.000043144977,0.0025181968,0.000030410758,0.000013458114,0.00043143003,0.00094243995,0.004337016,0.0030773692,0.98584265,0.00024309091,0.0024665168],"study_design_scores_gemma":[0.00005028864,0.00007760467,0.004197843,0.000043326057,0.000024356807,0.00045641715,0.0010692137,0.023799147,0.0035148186,0.96164346,0.0050776144,0.000046049194],"about_ca_topic_score_codex":0.0028447665,"about_ca_topic_score_gemma":0.0015255364,"teacher_disagreement_score":0.0028447665,"about_ca_system_score_codex":0.0018736137,"about_ca_system_score_gemma":0.00056158286,"threshold_uncertainty_score":0.013594091},"labels":[],"label_agreement":null},{"id":"W1963850442","doi":"10.4153/cmb-2007-043-5","title":"A Künneth Theorem for <i>p</i>-Adic Groups","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Pure mathematics; Class (philosophy); Decomposition; Group (periodic table); Algebra over a field; Chemistry","score_opus":0.023674307862024478,"score_gpt":0.2873632616146917,"score_spread":0.26368895375266727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963850442","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6501179,0.002063448,0.08084146,0.0033344727,0.00061754056,0.000069535854,0.00036553678,0.00037184256,0.26221833],"genre_scores_gemma":[0.974934,0.00044552048,0.008293484,0.00031364823,0.00031071628,0.000044013916,0.00014166573,0.000045290315,0.015471706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996743,0.00004132301,0.000015147443,0.000078714154,0.00010952302,0.00008098844],"domain_scores_gemma":[0.9995128,0.00012860901,0.00006372312,0.000061806335,0.00010498313,0.00012811179],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006073583,0.00035730415,0.00041157944,0.0017488843,0.0018788439,0.002232557,0.0005555715,0.0005426976,0.004633882],"category_scores_gemma":[0.0008039124,0.00018823287,0.0006218013,0.00070090947,0.0024938365,0.003121324,0.0022012084,0.0014297849,0.00052908197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000140803295,0.000011557327,0.00043004012,0.000022643278,0.000006043804,0.00009793905,0.0004178464,0.00024388317,0.00090713333,0.9926825,0.0010176003,0.0041486444],"study_design_scores_gemma":[0.000012135977,0.000026663338,0.0012353772,0.000013559453,0.000006774507,0.0001929919,0.00020153672,0.0018225943,0.00059304864,0.9883514,0.007533737,0.000010243091],"about_ca_topic_score_codex":0.0011209346,"about_ca_topic_score_gemma":0.0006950864,"teacher_disagreement_score":0.004633882,"about_ca_system_score_codex":0.0011401931,"about_ca_system_score_gemma":0.00037636585,"threshold_uncertainty_score":0.015501857},"labels":[],"label_agreement":null},{"id":"W1963957953","doi":"10.1016/j.jalgebra.2009.09.036","title":"Transfer kernels for finite groups II","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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; Transfer (computing); Pure mathematics; Computer science; Parallel computing","score_opus":0.032964935660949074,"score_gpt":0.3140752437657729,"score_spread":0.28111030810482385,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963957953","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46537957,0.0040181857,0.27978855,0.0054478566,0.0012386915,0.00012458191,0.000508614,0.00089710875,0.24259683],"genre_scores_gemma":[0.94754344,0.0008905366,0.010540204,0.00038516443,0.0007115825,0.00006697847,0.00019692979,0.00013899495,0.039526068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963856,0.00006905208,0.000017859142,0.0000753011,0.00012114824,0.000077985824],"domain_scores_gemma":[0.9993445,0.00022778781,0.00008379957,0.000101621976,0.00010161287,0.00014071996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007004814,0.0006238632,0.0008472044,0.0017311893,0.001467739,0.002653876,0.00063093397,0.00107133,0.008395985],"category_scores_gemma":[0.0017244042,0.0003079362,0.0007605721,0.0011058364,0.002361145,0.005101619,0.001834287,0.0029262798,0.0011464226],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012423967,0.00001381001,0.00008670321,0.000011963405,0.000003713463,0.00002425152,0.00014837705,0.00019915652,0.00035223184,0.9962231,0.000653644,0.0022706746],"study_design_scores_gemma":[0.0000070323294,0.000009717089,0.00015509313,0.000006364363,0.0000038009289,0.00004167489,0.00006155598,0.0016452657,0.00021037238,0.9961163,0.0017370486,0.0000057061857],"about_ca_topic_score_codex":0.0011196902,"about_ca_topic_score_gemma":0.00047678873,"teacher_disagreement_score":0.008395985,"about_ca_system_score_codex":0.0013631618,"about_ca_system_score_gemma":0.0005508037,"threshold_uncertainty_score":0.028087437},"labels":[],"label_agreement":null},{"id":"W1964709820","doi":"10.1006/jsco.2000.0386","title":"Generic and Explicit Realization of Smallp-groups","year":2000,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Advanced Algebra and Geometry","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":"Mathematics; Realization (probability); Algebra over a field; Pure mathematics; Arithmetic; Statistics","score_opus":0.0304748417338381,"score_gpt":0.30354992961702953,"score_spread":0.27307508788319146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964709820","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51954955,0.0007616179,0.26465228,0.002934864,0.0004717835,0.00012875021,0.00057392975,0.0009167803,0.21001047],"genre_scores_gemma":[0.9581787,0.00022159296,0.02327688,0.00020647528,0.0001704509,0.000085044034,0.00033383665,0.00015122745,0.017375797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992248,0.00015417015,0.000048128113,0.00014998537,0.0002083113,0.00021457259],"domain_scores_gemma":[0.9991959,0.00019498965,0.000097839875,0.0002314599,0.00012984578,0.00015011022],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007423253,0.0008459403,0.0010536175,0.0014117439,0.0024135904,0.003779634,0.0013866224,0.0014735906,0.010383089],"category_scores_gemma":[0.0019763778,0.00052589906,0.00091612514,0.001320789,0.0037515569,0.006264459,0.0038245001,0.0025064396,0.0010226454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016131184,0.0000094476745,0.00004330193,0.000009448972,0.0000019303066,0.000052620228,0.00012140714,0.00020075936,0.00042431647,0.9975848,0.00026468994,0.0012711654],"study_design_scores_gemma":[0.000013358108,0.0000073700157,0.00007226292,0.0000038977882,0.0000028481004,0.00006221735,0.00006738298,0.0017716461,0.00040170748,0.9960024,0.0015883652,0.0000064873398],"about_ca_topic_score_codex":0.00082148757,"about_ca_topic_score_gemma":0.0012218416,"teacher_disagreement_score":0.010383089,"about_ca_system_score_codex":0.0013622891,"about_ca_system_score_gemma":0.0007019268,"threshold_uncertainty_score":0.034734905},"labels":[],"label_agreement":null},{"id":"W1964775452","doi":"10.4153/cmb-2014-028-6","title":"Complexifying Lie Group Actions on Homogeneous Manifolds of Non-compact Dimension Two","year":2014,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Complexification; Mathematics; Lie group; Fibration; Pure mathematics; Dimension (graph theory); Homogeneous; Manifold (fluid mechanics); Holomorphic function; Action (physics); Group (periodic table); Base (topology); Complex manifold; Unit (ring theory); Combinatorics; Mathematical analysis; Physics; Homotopy","score_opus":0.05580039895996816,"score_gpt":0.32429453990320806,"score_spread":0.26849414094323987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964775452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9767522,0.00015616554,0.008064674,0.00027578618,0.0000495954,0.00002360091,0.000040187795,0.00008438521,0.014553397],"genre_scores_gemma":[0.9952128,0.000088959816,0.0015421638,0.000045434066,0.000038799157,0.000015103631,0.000042377727,0.000011704476,0.0030026205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996437,0.000070001195,0.000020206557,0.000070631875,0.000079668964,0.0001157376],"domain_scores_gemma":[0.9993857,0.00007839944,0.00016281406,0.00008229726,0.000052952586,0.00023781027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048409266,0.0007882223,0.0004911398,0.0015918041,0.0010224438,0.0016420112,0.0004797518,0.00064280065,0.0025621962],"category_scores_gemma":[0.00072393904,0.00023764752,0.0004231516,0.0005552338,0.0025330852,0.0016225822,0.001658395,0.0006898906,0.00024381565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000085439875,0.00006440107,0.0009680742,0.000025369362,0.000018226729,0.00088479527,0.0013454641,0.0025326347,0.011170017,0.9788046,0.0004956353,0.0036052566],"study_design_scores_gemma":[0.00012299734,0.00023438693,0.00369889,0.000024911662,0.000026695438,0.00054816535,0.0009557638,0.018714769,0.005601448,0.9640924,0.0059419344,0.000037755253],"about_ca_topic_score_codex":0.0013578002,"about_ca_topic_score_gemma":0.0009378131,"teacher_disagreement_score":0.0025621962,"about_ca_system_score_codex":0.0010168978,"about_ca_system_score_gemma":0.00030083337,"threshold_uncertainty_score":0.008571386},"labels":[],"label_agreement":null},{"id":"W1965592456","doi":"10.4171/cmh/242","title":"Λ-adic modular symbols over totally real fields","year":2011,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Advanced Algebra and Geometry","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":"McGill University","keywords":"Mathematics; Modular design; Algebra over a field; Pure mathematics; Arithmetic; Programming language; Computer science","score_opus":0.10007341189698886,"score_gpt":0.32598923413113934,"score_spread":0.22591582223415047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965592456","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.962106,0.00021571603,0.02050268,0.00025986173,0.0000697343,0.000016883765,0.000034817225,0.000039791692,0.016754463],"genre_scores_gemma":[0.9904275,0.00016815263,0.0038808943,0.000036450452,0.000058582576,0.000008800238,0.000023359455,0.000009140081,0.0053871153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985135,0.000024557521,0.0000060403772,0.000026101638,0.000044864628,0.00004705927],"domain_scores_gemma":[0.99980325,0.000026438434,0.000044221775,0.00002219964,0.000026033113,0.00007793383],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003368089,0.00040344344,0.0003386159,0.000910944,0.0010027899,0.0012624225,0.00040553085,0.0004428424,0.0022551194],"category_scores_gemma":[0.00058240746,0.00015281569,0.0003252274,0.0006210506,0.001981237,0.0017683895,0.0007706893,0.00052927085,0.0002443805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000750029,0.000049275153,0.0027153299,0.00007028408,0.000018018043,0.0017823997,0.0011017487,0.0039455066,0.009078533,0.9704507,0.0004332456,0.0102799125],"study_design_scores_gemma":[0.00005104601,0.00022463135,0.004619039,0.000040821426,0.000021682927,0.0019011319,0.0010463778,0.021813035,0.0054617026,0.9541555,0.010610567,0.00005445289],"about_ca_topic_score_codex":0.0005312167,"about_ca_topic_score_gemma":0.000332912,"teacher_disagreement_score":0.0022551194,"about_ca_system_score_codex":0.0005598854,"about_ca_system_score_gemma":0.00024107021,"threshold_uncertainty_score":0.0075441003},"labels":[],"label_agreement":null},{"id":"W1965663744","doi":"10.4153/cmb-2010-032-x","title":"Multiplicity-Free Schubert Calculus","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada; San Francisco State University; National Science Foundation","keywords":"Schubert calculus; Multiplicity (mathematics); Mathematics; Grassmannian; Pure mathematics; Schubert variety; Schubert polynomial; Algebraic number; Algebra over a field; Combinatorics; Geometry; Mathematical analysis","score_opus":0.02051591265927576,"score_gpt":0.2767023377826839,"score_spread":0.2561864251234081,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965663744","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9126474,0.0011304324,0.025857218,0.0003296372,0.00007008348,0.000034660206,0.00012545228,0.00012653609,0.059678607],"genre_scores_gemma":[0.9898212,0.00027175996,0.0034472763,0.000024444405,0.0000826882,0.00000952704,0.00006628805,0.00001369342,0.006263153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994748,0.000059643116,0.00003182969,0.000117239644,0.00019970562,0.00011677978],"domain_scores_gemma":[0.99943644,0.00010100568,0.000117337826,0.00007678774,0.0001110875,0.0001573702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005678518,0.00033578122,0.00042459226,0.0020444724,0.0015386994,0.0025210464,0.00051706494,0.00026665477,0.0036939376],"category_scores_gemma":[0.0008170277,0.00022596055,0.00034305052,0.0007778117,0.0037823855,0.0028680163,0.0017864914,0.00068140746,0.00036141634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027578633,0.000009782619,0.001365748,0.000026898188,0.000006516641,0.0001675891,0.00050017773,0.0005476458,0.0027288494,0.98964864,0.0004252832,0.0045452705],"study_design_scores_gemma":[0.00001685647,0.00007261159,0.0042509013,0.000034348846,0.000045986417,0.0008964176,0.0011054794,0.005216948,0.006362472,0.9626257,0.019329466,0.000042794003],"about_ca_topic_score_codex":0.0011371543,"about_ca_topic_score_gemma":0.0009605844,"teacher_disagreement_score":0.0036939376,"about_ca_system_score_codex":0.0010599606,"about_ca_system_score_gemma":0.00043102587,"threshold_uncertainty_score":0.012357473},"labels":[],"label_agreement":null},{"id":"W1967770874","doi":"10.1093/imrn/rnq221","title":"The Fine Moduli Space of Representations of Clifford Algebras","year":2010,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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":"Moduli space; Degree (music); Rank (graph theory); Mathematics; Clifford algebra; Combinatorics; Variety (cybernetics); Ideal (ethics); Moduli; Vector bundle; Space (punctuation); Field (mathematics); Algebra over a field; Pure mathematics; Physics; Quantum mechanics","score_opus":0.14424076596438862,"score_gpt":0.4782173144434458,"score_spread":0.33397654847905717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967770874","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9617818,0.00030920282,0.020814314,0.0002517957,0.000031981774,0.000023890005,0.0001088736,0.00008334082,0.016594825],"genre_scores_gemma":[0.99284863,0.00012082083,0.0020364984,0.00004503538,0.00004106983,0.000011702457,0.00011525539,0.000016683507,0.004764382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996927,0.000041725994,0.000014690079,0.00006715209,0.00007373934,0.00011004402],"domain_scores_gemma":[0.9996774,0.000039455714,0.00006516337,0.000036434794,0.000029977247,0.00015152742],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003942051,0.0004738837,0.00042667778,0.0019028914,0.0013639443,0.0019706215,0.0003750551,0.0007164498,0.003492135],"category_scores_gemma":[0.0009876488,0.00027671823,0.00032620184,0.00079921266,0.0014764231,0.0036532728,0.0017447593,0.0009034291,0.00026424212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014642067,0.00006199954,0.0023600413,0.000036315076,0.000014984154,0.0004891563,0.00070234144,0.0025424405,0.009502322,0.97446567,0.0005444091,0.0091338465],"study_design_scores_gemma":[0.000054436852,0.00016902966,0.0069206785,0.00006024145,0.000023021805,0.0010496635,0.0007179836,0.021678053,0.009151179,0.9524274,0.0076955636,0.000052720763],"about_ca_topic_score_codex":0.0005658598,"about_ca_topic_score_gemma":0.00054934534,"teacher_disagreement_score":0.003492135,"about_ca_system_score_codex":0.0008852164,"about_ca_system_score_gemma":0.00027893158,"threshold_uncertainty_score":0.011682391},"labels":[],"label_agreement":null},{"id":"W1968149823","doi":"10.4153/cjm-2010-006-3","title":"The Langlands Correspondence on the Generic Irreducible Constituents of Principal Series","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Principal (computer security); Series (stratigraphy); Pure mathematics; Nilpotent; Field (mathematics); Group (periodic table); Langlands dual group; Algebra over a field; Physics","score_opus":0.04771428558676194,"score_gpt":0.2860650045583446,"score_spread":0.23835071897158266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968149823","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8648115,0.00033927578,0.031184481,0.000757149,0.00018544758,0.000049558606,0.00015339961,0.0003338962,0.1021853],"genre_scores_gemma":[0.99039197,0.00013615823,0.0031683093,0.000071349394,0.00012444872,0.000020189573,0.000059903254,0.000051013194,0.0059766904],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957305,0.000083306084,0.000024029541,0.00007615961,0.00012609543,0.00011729881],"domain_scores_gemma":[0.999498,0.00012043868,0.00009882887,0.00006700246,0.0000779637,0.00013779606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060312875,0.0004504553,0.0006225387,0.0019764681,0.0025890148,0.0036591734,0.00050312956,0.0008686694,0.0056015356],"category_scores_gemma":[0.0013804362,0.00039828807,0.000637471,0.0009826303,0.003374503,0.0039754915,0.0024070665,0.0013494209,0.00075849687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003355308,0.000019208486,0.00033366328,0.000015659787,0.0000048460106,0.00029782692,0.00052289694,0.00030559502,0.0018776177,0.99424744,0.00029224894,0.002049475],"study_design_scores_gemma":[0.000022025275,0.000037678707,0.0008210016,0.000024823268,0.000012120784,0.00047737188,0.000315715,0.0030287215,0.0019455748,0.9895326,0.0037644028,0.000018059414],"about_ca_topic_score_codex":0.0005627005,"about_ca_topic_score_gemma":0.00063556724,"teacher_disagreement_score":0.0056015356,"about_ca_system_score_codex":0.0013667342,"about_ca_system_score_gemma":0.0005090335,"threshold_uncertainty_score":0.018738985},"labels":[],"label_agreement":null},{"id":"W1970227839","doi":"10.1017/s1446788713000220","title":"THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS","year":2013,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Measure (data warehouse); Haar measure; Homomorphism; Lie algebra; Integer (computer science); Pure mathematics; Zero (linguistics); Lie group; Combinatorics; Group (periodic table); Haar; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.032724880882468776,"score_gpt":0.30845623930058247,"score_spread":0.2757313584181137,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970227839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95056653,0.00022032009,0.021136537,0.000510233,0.000033587803,0.000011134139,0.00003993225,0.000054843258,0.027426956],"genre_scores_gemma":[0.99724907,0.000036875415,0.0014804408,0.00003081303,0.000027538323,0.0000054299035,0.000019750394,0.0000050355125,0.0011450292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945956,0.000081770086,0.000029084178,0.000092091104,0.00020301172,0.00013445823],"domain_scores_gemma":[0.99912125,0.00020267726,0.00018959986,0.00008475452,0.00010538158,0.00029624894],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057839433,0.00022403774,0.00047878126,0.0013851026,0.0013800741,0.002109534,0.0004813303,0.00050703983,0.003022991],"category_scores_gemma":[0.0019379561,0.00016129983,0.00034046196,0.0005077573,0.0037333476,0.002635074,0.001988516,0.0009647838,0.000258576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018526795,0.000017359325,0.000602769,0.00001177866,0.0000032849957,0.00011208177,0.00026294758,0.00051186304,0.0012835591,0.99575305,0.00015708401,0.0012657742],"study_design_scores_gemma":[0.00000836827,0.000018714501,0.00061578315,0.000008967472,0.000004136775,0.00018863,0.0002673143,0.008774461,0.001060049,0.98804396,0.0010002312,0.000009430402],"about_ca_topic_score_codex":0.00061496877,"about_ca_topic_score_gemma":0.00046923294,"teacher_disagreement_score":0.003022991,"about_ca_system_score_codex":0.0011532316,"about_ca_system_score_gemma":0.0003758499,"threshold_uncertainty_score":0.010112941},"labels":[],"label_agreement":null},{"id":"W1970658901","doi":"10.1016/j.jalgebra.2007.06.012","title":"The H-polynomial of a semisimple monoid","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Monoid; Polynomial; Pure mathematics; Free monoid; Syntactic monoid; Algebra over a field; Mathematical analysis","score_opus":0.02077171210154066,"score_gpt":0.3290420908514146,"score_spread":0.30827037874987395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970658901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82499933,0.00181522,0.071155846,0.0038503625,0.0013573332,0.00007181374,0.00058916607,0.00034038798,0.09582053],"genre_scores_gemma":[0.97776175,0.00035952742,0.00355979,0.00024840972,0.00047496357,0.000016583777,0.00010514629,0.000036589834,0.017437287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938214,0.00012505065,0.000026752792,0.00014507996,0.00016569473,0.00015523686],"domain_scores_gemma":[0.99892956,0.0003955385,0.00012722008,0.00008767462,0.00014948443,0.00031056567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009767662,0.000757101,0.0012178771,0.0025727346,0.0026721496,0.0035847775,0.0011491522,0.0012443033,0.007375025],"category_scores_gemma":[0.0017676356,0.000634224,0.0007567735,0.0019353338,0.0064090597,0.0054040495,0.0024287456,0.0028687813,0.0011334453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000107710875,0.000027687487,0.00031202476,0.000034196204,0.000012517203,0.00019356773,0.00045678456,0.00050508615,0.0014343889,0.9919207,0.0009496522,0.0040456904],"study_design_scores_gemma":[0.000038192877,0.000053268846,0.000527671,0.000009199218,0.000012105839,0.00020151651,0.000113067035,0.0023530442,0.0009587016,0.9931283,0.0025762303,0.000028781065],"about_ca_topic_score_codex":0.0019666557,"about_ca_topic_score_gemma":0.001518122,"teacher_disagreement_score":0.007375025,"about_ca_system_score_codex":0.002159517,"about_ca_system_score_gemma":0.001109391,"threshold_uncertainty_score":0.024671912},"labels":[],"label_agreement":null},{"id":"W1971145656","doi":"10.1016/j.jnt.2014.05.004","title":"Sign changes of Fourier coefficients of Hilbert modular forms","year":2014,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Sign (mathematics); Mathematics; Fourier series; Modular design; Modular form; Fourier transform; Fourier analysis; Mathematical analysis; Pure mathematics; Computer science","score_opus":0.017872276083119813,"score_gpt":0.2937190769120349,"score_spread":0.2758468008289151,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971145656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8978353,0.0005314414,0.0636017,0.0013263267,0.0008441321,0.00004283354,0.00013409177,0.00031762852,0.035366602],"genre_scores_gemma":[0.97607476,0.00042683183,0.0070287087,0.0002582371,0.00041820804,0.000034264023,0.00013636472,0.0003956204,0.015227026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991186,0.0002604345,0.00003739576,0.000107741755,0.0002632419,0.00021254503],"domain_scores_gemma":[0.9971781,0.00097210443,0.00045732065,0.00032046987,0.00037985924,0.0006920853],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021455195,0.0012370344,0.00081755297,0.0041390555,0.001257416,0.0027117273,0.001996384,0.0018132266,0.012144738],"category_scores_gemma":[0.010382513,0.00069234037,0.000741343,0.0016332926,0.004320073,0.006241333,0.0024039058,0.0024667436,0.0010278544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003453265,0.00012137312,0.0013272151,0.000070627655,0.000020447638,0.0005673249,0.00069914944,0.0016967166,0.013091251,0.96063703,0.0018781838,0.01954536],"study_design_scores_gemma":[0.00009615551,0.00007151438,0.0026752246,0.00004879667,0.000023532908,0.0010159907,0.00032476868,0.027724935,0.0055176932,0.96035844,0.002038676,0.000104207335],"about_ca_topic_score_codex":0.0003055659,"about_ca_topic_score_gemma":0.0003678314,"teacher_disagreement_score":0.012144738,"about_ca_system_score_codex":0.0008699226,"about_ca_system_score_gemma":0.0006130759,"threshold_uncertainty_score":0.040628195},"labels":[],"label_agreement":null},{"id":"W1972527433","doi":"10.4153/cmb-2002-046-x","title":"The Spherical Functions Related to the Root System<i>B</i><sub>2</sub>","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Laurentian University","funders":"","keywords":"Mathematics; Root (linguistics); Pure mathematics; Combinatorics","score_opus":0.014390976342320212,"score_gpt":0.22080294952175733,"score_spread":0.20641197317943713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972527433","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68947166,0.0006297903,0.17967717,0.0012353006,0.00045080564,0.000048763446,0.00020343039,0.0004223801,0.12786067],"genre_scores_gemma":[0.96972555,0.0003226526,0.010087473,0.00014774986,0.00016945034,0.000022420892,0.00011855438,0.00021569025,0.019190412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99980134,0.00003760513,0.000006789187,0.000033592267,0.000062241605,0.00005845681],"domain_scores_gemma":[0.99964166,0.000055500637,0.00004866681,0.000038654085,0.00009808798,0.000117439056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044686176,0.000512171,0.00044613396,0.0014692219,0.0008543688,0.0015793451,0.0006566829,0.00057023007,0.0068765734],"category_scores_gemma":[0.0010491187,0.00016702073,0.00038105188,0.0005714946,0.0016390153,0.0017608544,0.0007702862,0.0011275375,0.0011134907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039573697,0.000016816879,0.00034784243,0.000031103456,0.000003707781,0.00016228372,0.00020859034,0.0016012635,0.008982116,0.97878814,0.0016752211,0.00814333],"study_design_scores_gemma":[0.000022955373,0.00007292504,0.0021379904,0.000025992602,0.00001126321,0.0007712206,0.0004985136,0.045641996,0.010717249,0.929146,0.010888984,0.00006491767],"about_ca_topic_score_codex":0.0009931541,"about_ca_topic_score_gemma":0.00058528886,"teacher_disagreement_score":0.0068765734,"about_ca_system_score_codex":0.00062624016,"about_ca_system_score_gemma":0.00041118314,"threshold_uncertainty_score":0.023004472},"labels":[],"label_agreement":null},{"id":"W1972787854","doi":"10.4153/cjm-2009-062-1","title":"Uniqueness of Shalika Models","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Uniqueness; Mathematics; Field (mathematics); Pure mathematics; Quaternion; Algebra over a field; Quaternion algebra; Division algebra; Mathematical analysis; Geometry; Filtered algebra","score_opus":0.05726423098646304,"score_gpt":0.2979112888437078,"score_spread":0.24064705785724477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972787854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56007904,0.0017748496,0.29153484,0.0045852903,0.0005947185,0.00012918298,0.0005651949,0.0005014067,0.14023559],"genre_scores_gemma":[0.96742445,0.00027725723,0.0169565,0.00046292218,0.00014806892,0.000088070694,0.00030116457,0.00014470928,0.0141968075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720746,0.0007382949,0.00019428694,0.00059759186,0.0007142215,0.00054820726],"domain_scores_gemma":[0.99731296,0.0008223701,0.00024606544,0.00045013218,0.0007336131,0.0004347886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025032011,0.0007236552,0.0014276454,0.0019596769,0.005202634,0.0041128346,0.0016348439,0.0018882217,0.007387368],"category_scores_gemma":[0.0059603173,0.00075385807,0.002731371,0.00079352374,0.005199742,0.010240411,0.0060716574,0.0042845327,0.0015572201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023887018,0.000015334957,0.0005224542,0.000023499713,0.000010966457,0.00008518361,0.00035066318,0.00040890122,0.0004970439,0.99607325,0.0005935474,0.0013953914],"study_design_scores_gemma":[0.000008970183,0.00001805131,0.00017240747,0.000016317395,0.0000065480594,0.00015610186,0.00032297097,0.002771049,0.00084539223,0.9936237,0.0020395676,0.000019014959],"about_ca_topic_score_codex":0.0010851625,"about_ca_topic_score_gemma":0.0009334539,"teacher_disagreement_score":0.007387368,"about_ca_system_score_codex":0.0017332244,"about_ca_system_score_gemma":0.001578519,"threshold_uncertainty_score":0.024713218},"labels":[],"label_agreement":null},{"id":"W1974917322","doi":"10.1090/s1061-0022-09-01064-4","title":"Elementary subgroups of isotropic reductive groups","year":2009,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Advanced Algebra and Geometry","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":"University of Alberta","funders":"","keywords":"Mathematics; Unipotent; Reductive group; Combinatorics; Group (periodic table); Rank (graph theory); Commutative property; Torus; Commutative ring; Pure mathematics; Group theory; Geometry; Physics","score_opus":0.02314297461849852,"score_gpt":0.30585549680721896,"score_spread":0.28271252218872045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974917322","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89894783,0.000732156,0.025289979,0.00050861435,0.00008741397,0.00005159338,0.00020423118,0.00021006068,0.0739681],"genre_scores_gemma":[0.9843552,0.00033092083,0.002926881,0.000076572505,0.000104951265,0.00003689079,0.00027680607,0.000026385636,0.011865349],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963546,0.000058629495,0.000022180191,0.00007232524,0.00009803819,0.00011330268],"domain_scores_gemma":[0.9997222,0.000061288265,0.00005490111,0.000049096267,0.000036462185,0.00007602619],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002790156,0.00043326314,0.0003454081,0.00080137,0.00059780467,0.0015563293,0.00032122823,0.00026074966,0.0032080256],"category_scores_gemma":[0.00059834303,0.00020256278,0.00035105416,0.00036218239,0.0017926669,0.0015124803,0.001743973,0.00064195425,0.00063118717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008444003,0.000024477182,0.0012555548,0.00003221536,0.000008423827,0.0002502525,0.0012959215,0.00041725635,0.0073675206,0.9803049,0.00061542256,0.00834377],"study_design_scores_gemma":[0.000078815676,0.0001748452,0.0046078255,0.00003307337,0.00003622274,0.0007042312,0.0016829218,0.0040325867,0.013414002,0.94005835,0.035145584,0.00003163507],"about_ca_topic_score_codex":0.00058508164,"about_ca_topic_score_gemma":0.0004330144,"teacher_disagreement_score":0.0032080256,"about_ca_system_score_codex":0.0005814346,"about_ca_system_score_gemma":0.00037909372,"threshold_uncertainty_score":0.010731876},"labels":[],"label_agreement":null},{"id":"W1975374200","doi":"10.1016/j.jalgebra.2007.02.060","title":"Jordan algebras, exceptional groups, and Bhargava composition","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":81,"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":"Composition (language); Mathematics; Algebraic number; Pure mathematics; Orbit (dynamics); Algebra over a field; Group (periodic table); Mathematical analysis","score_opus":0.020094865075503576,"score_gpt":0.3029498465144752,"score_spread":0.28285498143897164,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975374200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56939894,0.002116224,0.09291885,0.005593416,0.000638574,0.00008195191,0.00013009466,0.0002522992,0.32886958],"genre_scores_gemma":[0.9623896,0.0006223243,0.008824032,0.00045900926,0.000497562,0.000041983174,0.00010401941,0.00005828809,0.027003283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991462,0.00022630759,0.000048227063,0.00011266509,0.00026107059,0.00020544752],"domain_scores_gemma":[0.9990169,0.00027025104,0.00015634428,0.00012164358,0.00018245494,0.00025237174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015606299,0.00044622688,0.0009833116,0.0014107204,0.0045220223,0.0027851148,0.0009369245,0.0010472159,0.0070396657],"category_scores_gemma":[0.0023997792,0.00036364867,0.0007294161,0.0011132365,0.005740705,0.005739028,0.0041807527,0.0024842597,0.00082687556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001873982,0.000013291489,0.0001194646,0.0000069857842,0.0000028789084,0.000043604814,0.00018767016,0.00010054998,0.00018382979,0.99762565,0.0002594325,0.0014378354],"study_design_scores_gemma":[0.000008205494,0.0000059960757,0.00006538457,0.000002851265,0.0000023883313,0.000046373316,0.00010652216,0.00040327758,0.00017820485,0.99813277,0.0010437978,0.000004250626],"about_ca_topic_score_codex":0.0009070366,"about_ca_topic_score_gemma":0.0009374347,"teacher_disagreement_score":0.0070396657,"about_ca_system_score_codex":0.0009066068,"about_ca_system_score_gemma":0.000996331,"threshold_uncertainty_score":0.023550034},"labels":[],"label_agreement":null},{"id":"W1975970681","doi":"10.1142/s0218196707003937","title":"LINEAR GROUPS OVER LOCALLY FINITE EXTENSIONS OF INFINITE FIELDS","year":2007,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Advanced Algebra and Geometry","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; Separable space; Field extension; Integer (computer science); Extension (predicate logic); Combinatorics; Field (mathematics); Finite field; Identity (music); Group (periodic table); Algebraic number; Zero (linguistics); Discrete mathematics; Algebra over a field; Pure mathematics","score_opus":0.02404587016073457,"score_gpt":0.33837240877834807,"score_spread":0.3143265386176135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975970681","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8994074,0.0013732023,0.041188117,0.0010565743,0.00011948903,0.00005906562,0.00012961299,0.0003147128,0.056351915],"genre_scores_gemma":[0.98049635,0.00047406528,0.0057921903,0.00010086476,0.00020755974,0.00004732181,0.000107924134,0.000017430384,0.012756266],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996208,0.00011081497,0.000020810101,0.00006234507,0.00009004297,0.0000950891],"domain_scores_gemma":[0.99919254,0.0002804301,0.0002039694,0.00008817152,0.00005722894,0.0001777523],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005418068,0.0005082476,0.00038087866,0.00093583873,0.00071747846,0.0015041806,0.00035526973,0.00029595062,0.0039493027],"category_scores_gemma":[0.0009808611,0.00021920931,0.00033659945,0.00062914577,0.0020145942,0.0029249485,0.0018414259,0.00066314975,0.0005312007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020540654,0.000064132146,0.0012374134,0.000094725874,0.000017830045,0.0006909331,0.0016084389,0.0026638515,0.00679821,0.97005457,0.00069905486,0.015865369],"study_design_scores_gemma":[0.00008385617,0.00023595909,0.0010710827,0.00004061568,0.000023204946,0.00052517524,0.0005230263,0.0049052914,0.0035209088,0.97956127,0.009490606,0.000019072691],"about_ca_topic_score_codex":0.0002731601,"about_ca_topic_score_gemma":0.00023941004,"teacher_disagreement_score":0.0039493027,"about_ca_system_score_codex":0.00072151364,"about_ca_system_score_gemma":0.00048247888,"threshold_uncertainty_score":0.013211787},"labels":[],"label_agreement":null},{"id":"W1977253027","doi":"10.1007/s00605-005-0321-4","title":"The Dichotomy Problem for Orbital Measures of SU(n)","year":2005,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Algebra and Geometry","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":"Conjugacy class; Measure (data warehouse); Mathematics; Product (mathematics); Combinatorics; Class (philosophy); Pure mathematics; Physics; Geometry; Computer science","score_opus":0.03428958918029899,"score_gpt":0.312200215252006,"score_spread":0.27791062607170697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977253027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80968165,0.0015946395,0.05087175,0.016634641,0.0006134094,0.00004449697,0.0004824022,0.00026998212,0.11980714],"genre_scores_gemma":[0.9862155,0.00032767485,0.003876303,0.0006983953,0.0005271307,0.00005679205,0.00025116873,0.00006406882,0.007982869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916565,0.00021685772,0.000039324204,0.000120968914,0.00022436609,0.0002328617],"domain_scores_gemma":[0.9977925,0.0011282604,0.00030099353,0.00022255466,0.00016956597,0.0003859977],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015015418,0.0004510431,0.0011304116,0.0023446465,0.0036343895,0.0040985085,0.0014512022,0.0031141615,0.008485649],"category_scores_gemma":[0.0058777495,0.00044805798,0.0006783068,0.0010800349,0.004858293,0.008665571,0.0032641278,0.0036660384,0.00058549363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002842004,0.00001103469,0.00013413857,0.00001188229,0.0000022153517,0.00002674515,0.00007968014,0.00018149847,0.00016970099,0.9973488,0.0008570761,0.0011488618],"study_design_scores_gemma":[0.0000123647305,0.0000065352397,0.00016292559,0.00000614816,0.0000012133065,0.000031395277,0.000051865733,0.0018765643,0.000054477918,0.99740905,0.00038279264,0.0000047278745],"about_ca_topic_score_codex":0.000930982,"about_ca_topic_score_gemma":0.0006003701,"teacher_disagreement_score":0.008485649,"about_ca_system_score_codex":0.0016461429,"about_ca_system_score_gemma":0.00094363,"threshold_uncertainty_score":0.028387308},"labels":[],"label_agreement":null},{"id":"W1978620976","doi":"10.1016/j.jalgebra.2012.09.030","title":"Embeddings of semisimple complex Lie groups and cohomological components of modules","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Pure mathematics; Semisimple Lie algebra; Lie algebra; Surjective function; Embedding; Algebra over a field; Affine Lie algebra","score_opus":0.07005281803501387,"score_gpt":0.32978868496924585,"score_spread":0.259735866934232,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978620976","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9434694,0.00032740907,0.032015562,0.0006903299,0.00013100797,0.00003658815,0.0001022748,0.00013419635,0.023093347],"genre_scores_gemma":[0.98894763,0.00017756343,0.004476877,0.00010146179,0.00012242563,0.000024257166,0.00011027026,0.000051097413,0.0059884503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950075,0.000097121076,0.00002856438,0.00008662322,0.00014766787,0.0001392812],"domain_scores_gemma":[0.9989128,0.00023384592,0.00020229534,0.00009402907,0.00013377078,0.00042333224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081371504,0.00077931443,0.00053284375,0.0029485,0.0017699383,0.0031754586,0.0009939981,0.0010659894,0.0070470395],"category_scores_gemma":[0.002056014,0.0005962248,0.0005833482,0.0010865668,0.0035148438,0.0046380605,0.0034119082,0.0017553021,0.00058068504],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007079392,0.000061716,0.00097299507,0.000025552885,0.0000121837,0.00017648144,0.0012826198,0.00037405328,0.0020400523,0.9907912,0.00030865535,0.0038837215],"study_design_scores_gemma":[0.00003972046,0.000049963266,0.0016976538,0.000015242819,0.000014502306,0.00022042346,0.00082453195,0.002265225,0.00099367,0.99217826,0.0016812168,0.000019687484],"about_ca_topic_score_codex":0.00055399124,"about_ca_topic_score_gemma":0.0007125445,"teacher_disagreement_score":0.0070470395,"about_ca_system_score_codex":0.0008027676,"about_ca_system_score_gemma":0.00039716993,"threshold_uncertainty_score":0.02357465},"labels":[],"label_agreement":null},{"id":"W1978644668","doi":"10.1016/s0021-8693(03)00453-8","title":"A symplectic Désarménien matrix and a standard basis for the symplectic Weyl module","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Winnipeg","funders":"","keywords":"Symplectic geometry; Mathematics; Basis (linear algebra); Pure mathematics; Symplectic group; Symplectic matrix; Algebra over a field; Symplectic representation; Moment map; Geometry","score_opus":0.025017710967080355,"score_gpt":0.32390732587935234,"score_spread":0.298889614912272,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978644668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56361425,0.0012318939,0.28304392,0.0046910592,0.001592949,0.00021627347,0.0006154681,0.0004519075,0.14454226],"genre_scores_gemma":[0.8994264,0.00065402803,0.044168044,0.00072099344,0.0006378462,0.00011060368,0.00030000982,0.00020263779,0.053779427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996712,0.000050487233,0.000016085187,0.00006794681,0.00012058115,0.000073683914],"domain_scores_gemma":[0.99966633,0.000032219847,0.000052210762,0.000043575037,0.000068702706,0.00013687254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005362922,0.00070367963,0.00065165595,0.001596676,0.0014906973,0.0024082495,0.0010841541,0.0013283081,0.008447009],"category_scores_gemma":[0.00080608367,0.00043052467,0.0005566746,0.000897731,0.0021910998,0.0028221768,0.001656697,0.0023593057,0.0014564258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013867615,0.000015405869,0.00006430526,0.000011825242,0.000003890065,0.000059715105,0.00010235481,0.00023931416,0.0018372353,0.9942952,0.00060039246,0.0027563928],"study_design_scores_gemma":[0.000019226636,0.000029524324,0.00021739364,0.0000111273,0.000004961604,0.00018221937,0.00010886337,0.0040823263,0.0010321063,0.9897078,0.0045845197,0.000019992443],"about_ca_topic_score_codex":0.00074020185,"about_ca_topic_score_gemma":0.0010829361,"teacher_disagreement_score":0.008447009,"about_ca_system_score_codex":0.0008088512,"about_ca_system_score_gemma":0.0008742994,"threshold_uncertainty_score":0.028258085},"labels":[],"label_agreement":null},{"id":"W1979292986","doi":"10.1007/s10468-015-9532-0","title":"Local Weyl Modules and Cyclicity of Tensor Products for Yangian of Type G 2","year":2015,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Yangian; Tensor product; Mathematics; Pure mathematics; Tensor (intrinsic definition); Type (biology); Simple (philosophy); Product (mathematics); Algebra over a field; Tensor product of modules; Verma module; Weyl algebra; Tensor product of algebras; Lie algebra; Tensor product of Hilbert spaces; Tensor contraction; Geometry","score_opus":0.05722444619836637,"score_gpt":0.33855687051202904,"score_spread":0.2813324243136627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1979292986","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8905886,0.0009019625,0.043658193,0.001346784,0.0003471641,0.000064655025,0.00018904403,0.000273667,0.0626299],"genre_scores_gemma":[0.9812424,0.00036187915,0.0042344206,0.00025891667,0.0003521945,0.00004358066,0.00014149278,0.000079902115,0.013285149],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99933136,0.00015672973,0.000033084274,0.0001212039,0.00014434324,0.00021319551],"domain_scores_gemma":[0.9988256,0.0002287503,0.00026733088,0.00013542309,0.00013555308,0.00040733986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013234515,0.0011099667,0.00088775886,0.0028051443,0.0028205735,0.0037241671,0.0012294973,0.0012696051,0.0077958647],"category_scores_gemma":[0.001836269,0.0005993716,0.0011078428,0.0019099877,0.005818528,0.0056505185,0.0033034852,0.0020743634,0.0006004411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003450173,0.000022081504,0.00022855579,0.000016180984,0.000007769499,0.00009820813,0.00043189104,0.00028882103,0.0011226347,0.9956462,0.00031773644,0.0017854508],"study_design_scores_gemma":[0.000019717072,0.000030467767,0.00038195908,0.0000074254185,0.0000094694,0.00010870868,0.00017134925,0.0012980088,0.00054706744,0.99640805,0.0009953835,0.000022304177],"about_ca_topic_score_codex":0.0016005778,"about_ca_topic_score_gemma":0.0015142434,"teacher_disagreement_score":0.0077958647,"about_ca_system_score_codex":0.0011936175,"about_ca_system_score_gemma":0.0010565948,"threshold_uncertainty_score":0.026079774},"labels":[],"label_agreement":null},{"id":"W1979694433","doi":"10.1515/crelle-2012-0121","title":"Special cycles on unitary Shimura varieties II: Global theory","year":2013,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Uniformization (probability theory); Pure mathematics; Eisenstein series; Shimura variety; Unitary state; Intersection (aeronautics); Abelian group; Hermitian matrix; Algebra over a field; Fourier series; Group (periodic table); Arithmetic; Modular form; Mathematical analysis","score_opus":0.03742993352633747,"score_gpt":0.33834180812954456,"score_spread":0.3009118746032071,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1979694433","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9337343,0.0004753901,0.019975962,0.00031982618,0.00006691029,0.00003126869,0.000062296276,0.00013998548,0.04519416],"genre_scores_gemma":[0.99343103,0.000116603966,0.001973566,0.000030033978,0.000054092314,0.000021407628,0.00004414532,0.000028051618,0.0043010265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961996,0.00006491673,0.000017629567,0.00007857674,0.00010137756,0.00011743416],"domain_scores_gemma":[0.99966526,0.0000603377,0.000075165,0.000042647003,0.00004460464,0.00011199284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038123355,0.00055293564,0.0005844839,0.0027106095,0.0016291739,0.003268527,0.0005109595,0.0006920782,0.006694639],"category_scores_gemma":[0.00095337635,0.00032460602,0.0005705726,0.0010218706,0.0025529384,0.0032914462,0.001852696,0.0010935954,0.0004047212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022497,0.000012604302,0.000435149,0.000012746008,0.0000037358905,0.00009445306,0.0002735424,0.00054865435,0.00092472066,0.99505216,0.000227579,0.002392183],"study_design_scores_gemma":[0.000017656193,0.000053174557,0.0015374682,0.000035358036,0.000017198932,0.0003676975,0.00066354894,0.010828458,0.0024449395,0.97995144,0.004061187,0.000021808191],"about_ca_topic_score_codex":0.00049420475,"about_ca_topic_score_gemma":0.0003425729,"teacher_disagreement_score":0.006694639,"about_ca_system_score_codex":0.0012599739,"about_ca_system_score_gemma":0.00031200543,"threshold_uncertainty_score":0.02239579},"labels":[],"label_agreement":null},{"id":"W1980425759","doi":"10.4153/cmb-2005-036-x","title":"Diagonal Plus Tridiagonal Representatives for Symplectic Congruence Classes of Symmetric Matrices","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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 Regina; University of Waterloo","funders":"","keywords":"Mathematics; Tridiagonal matrix; Symplectic group; Symplectic geometry; Diagonal; Symplectic matrix; Combinatorics; Rank (graph theory); Congruence (geometry); Field (mathematics); Matrix (chemical analysis); Pure mathematics; Symplectic representation; Moment map; Eigenvalues and eigenvectors; Geometry; Physics","score_opus":0.034724089030515486,"score_gpt":0.3255475048354076,"score_spread":0.2908234158048921,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980425759","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95448905,0.000087837085,0.019221194,0.00021812075,0.00008364704,0.00003223734,0.00006114778,0.00009689893,0.025709964],"genre_scores_gemma":[0.99314237,0.000050406466,0.0029439332,0.000037740676,0.000050460287,0.00001952363,0.000061531304,0.000023423798,0.0036705777],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994795,0.000069417016,0.000030995394,0.00007655325,0.00017050508,0.00017306615],"domain_scores_gemma":[0.99956244,0.00008627825,0.000086748776,0.000046324603,0.000057035413,0.00016115901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038881093,0.0002666311,0.00033437103,0.0011799632,0.0012430388,0.0017842972,0.00028396212,0.00050648453,0.006272788],"category_scores_gemma":[0.00091349764,0.0002202073,0.0004172348,0.00040770057,0.0018426365,0.0014612379,0.0013411465,0.0006903806,0.00053601805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010270656,0.00008586791,0.0015993426,0.000024037245,0.0000061363958,0.0005825975,0.0010026405,0.0005869113,0.012740861,0.9732636,0.0008711324,0.009134153],"study_design_scores_gemma":[0.00011549612,0.00017614046,0.0036653066,0.000036119258,0.000012569254,0.001070816,0.0011332121,0.015745236,0.012705664,0.95705664,0.008247326,0.000035403627],"about_ca_topic_score_codex":0.00052730326,"about_ca_topic_score_gemma":0.00067930983,"teacher_disagreement_score":0.006272788,"about_ca_system_score_codex":0.0005433544,"about_ca_system_score_gemma":0.00038545168,"threshold_uncertainty_score":0.02098459},"labels":[],"label_agreement":null},{"id":"W1980922045","doi":"10.1007/s00222-003-0306-7","title":"Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms","year":2003,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":47,"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":"Mathematics; Monodromy; Modular design; Modular form; Pure mathematics; Algebra over a field; Programming language; Computer science","score_opus":0.04245465995163548,"score_gpt":0.3180217708371957,"score_spread":0.2755671108855602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980922045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7794039,0.0029717712,0.09060651,0.002122681,0.00088715315,0.00007745777,0.00023063808,0.00038887025,0.12331101],"genre_scores_gemma":[0.952536,0.001313438,0.009729611,0.00031257476,0.00075900165,0.000060734466,0.000111900976,0.00012103074,0.035055835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995896,0.00010203559,0.000026966827,0.00009703962,0.00010056362,0.0000838589],"domain_scores_gemma":[0.9991547,0.00022181125,0.00017386852,0.00008382441,0.00012861371,0.00023711876],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011709895,0.0014130857,0.000769978,0.006263399,0.002513048,0.0042074667,0.0012996824,0.001606508,0.005012605],"category_scores_gemma":[0.0035297845,0.0007654517,0.00079287373,0.0033033658,0.004098407,0.006410302,0.0021374403,0.0025599648,0.0007641922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020935182,0.000016470181,0.00016539809,0.000013576908,0.0000044387266,0.00007475744,0.00037016987,0.00027411792,0.0006941281,0.9943217,0.00038710592,0.0036571755],"study_design_scores_gemma":[0.00001313617,0.00002003795,0.00033942857,0.000011010498,0.0000089295,0.00012275352,0.00010062755,0.0018094754,0.00051100506,0.9951443,0.0019035145,0.000015700962],"about_ca_topic_score_codex":0.0011672998,"about_ca_topic_score_gemma":0.0012413822,"teacher_disagreement_score":0.006263399,"about_ca_system_score_codex":0.002390457,"about_ca_system_score_gemma":0.0008465605,"threshold_uncertainty_score":0.017344058},"labels":[],"label_agreement":null},{"id":"W1981343368","doi":"10.1142/s0129167x13500900","title":"GRASSMANNIAN-FRAMED BUNDLES AND GENERALIZED PARABOLIC STRUCTURES","year":2013,"lang":"en","type":"preprint","venue":"International Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Compactification (mathematics); Grassmannian; Pure mathematics; Moduli space; Symplectic geometry; Riemann surface; Vector bundle; Geometric invariant theory; Splitting principle; Invariant (physics); Mathematical analysis; Mathematical physics","score_opus":0.04221702510470025,"score_gpt":0.34997281139294006,"score_spread":0.3077557862882398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981343368","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8422544,0.00088673446,0.09812034,0.0009399113,0.00015516768,0.00006622635,0.000253766,0.00030982244,0.05701375],"genre_scores_gemma":[0.96677965,0.0003689088,0.02019819,0.00009398252,0.00007932968,0.000033044624,0.00019939522,0.00005383227,0.012193675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969125,0.000045598536,0.000018847159,0.00007099865,0.00011035441,0.000062959945],"domain_scores_gemma":[0.9997595,0.000014118853,0.000040496372,0.00005607168,0.000040754556,0.00008900434],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037267854,0.0006305177,0.000416484,0.00136984,0.0009939204,0.001729212,0.0005922359,0.00058403646,0.0037953262],"category_scores_gemma":[0.00054499396,0.00025368624,0.0003629231,0.0007101078,0.0024708242,0.003938749,0.0026072916,0.0010537666,0.0005980822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013405228,0.000013265867,0.00037123193,0.00002494453,0.0000067500278,0.0001602245,0.00043628432,0.0005314095,0.0037747882,0.99088657,0.00019725025,0.0035840278],"study_design_scores_gemma":[0.000021178495,0.00010539578,0.0016424904,0.000042827167,0.000021403264,0.000489576,0.0005292327,0.010587915,0.0076265633,0.9661964,0.012708794,0.000028211976],"about_ca_topic_score_codex":0.00070604717,"about_ca_topic_score_gemma":0.00074347324,"teacher_disagreement_score":0.0037953262,"about_ca_system_score_codex":0.00080092915,"about_ca_system_score_gemma":0.00034214515,"threshold_uncertainty_score":0.012696624},"labels":[],"label_agreement":null},{"id":"W1983959066","doi":"10.1142/s1793042115500347","title":"Quaternionic modular forms and exceptional sets of hypergeometric functions","year":2014,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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","funders":"","keywords":"Mathematics; Hypergeometric function; Modular form; Pure mathematics; Algebra over a field; Basic hypergeometric series; Eisenstein series; Hypergeometric distribution; Modular design; Generalized hypergeometric function; Computer science","score_opus":0.017550214596035733,"score_gpt":0.31546100647231845,"score_spread":0.2979107918762827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983959066","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9293738,0.00025720708,0.04278047,0.00029120847,0.00009678548,0.000022514449,0.00010442255,0.000095914584,0.026977561],"genre_scores_gemma":[0.9932775,0.00013408343,0.004554784,0.00003479516,0.000086258835,0.000026283658,0.00010902902,0.000029539568,0.0017476847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928695,0.00013930972,0.0000426562,0.000101928745,0.00021030426,0.00021889966],"domain_scores_gemma":[0.9980927,0.00064363173,0.00045409522,0.00016508436,0.00022195406,0.00042249064],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010654269,0.0009680041,0.00087892386,0.0055080517,0.0020462896,0.0031341666,0.0012420588,0.00089023774,0.004392376],"category_scores_gemma":[0.004418605,0.0004460638,0.0008867609,0.0018339133,0.0038019323,0.003780426,0.0025824008,0.0019093707,0.0005791379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007500525,0.000040611252,0.0014460647,0.000039420527,0.000012875488,0.00049736263,0.00034239597,0.0038998884,0.0036623543,0.98354685,0.00038311345,0.006054084],"study_design_scores_gemma":[0.000023283805,0.000029194296,0.0007155431,0.000032186636,0.0000102498625,0.00034826342,0.00019364452,0.012722041,0.0033056133,0.98163396,0.0009566605,0.000029394661],"about_ca_topic_score_codex":0.00031133508,"about_ca_topic_score_gemma":0.00029369522,"teacher_disagreement_score":0.0055080517,"about_ca_system_score_codex":0.0009567427,"about_ca_system_score_gemma":0.00038376747,"threshold_uncertainty_score":0.014693975},"labels":[],"label_agreement":null},{"id":"W1985784255","doi":"10.4153/cmb-2001-028-6","title":"Hecke Operators on Jacobi-like Forms","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Hecke operator; Modular form; Pure mathematics; Operator (biology); Action (physics); Modular design; Upper half-plane; Algebra over a field; Modular group; Formal power series; Functional equation; Space (punctuation); Power series; Mathematical analysis","score_opus":0.02541858896857631,"score_gpt":0.27654859307759433,"score_spread":0.25113000410901803,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985784255","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8617615,0.00046902485,0.062273007,0.0009340269,0.00028301778,0.00008064852,0.00015630815,0.00022231169,0.07382007],"genre_scores_gemma":[0.9773746,0.0002249974,0.007919607,0.00015238293,0.00019499924,0.000023576611,0.00006507513,0.000034439603,0.01401026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999587,0.00007330575,0.000025946143,0.00007628279,0.00013815006,0.00009930042],"domain_scores_gemma":[0.9994863,0.00009175947,0.00009950285,0.000079851976,0.000087502405,0.00015511822],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007166697,0.00047991576,0.0003780736,0.0015849461,0.0009818934,0.00173135,0.00042350372,0.0005994233,0.0055567427],"category_scores_gemma":[0.0014423198,0.00019677314,0.00052696007,0.00076107885,0.0026200511,0.0029141477,0.0010045293,0.00090001355,0.00046249223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015166941,0.000030800038,0.00023424497,0.000012825624,0.0000029270238,0.00012536437,0.00026507134,0.00044128153,0.0028159963,0.9931185,0.00031973707,0.0026181433],"study_design_scores_gemma":[0.00002359022,0.000049142895,0.0004603554,0.00001078349,0.0000047505428,0.00031461517,0.00023394423,0.0046696523,0.002866394,0.9880067,0.0033446501,0.000015443691],"about_ca_topic_score_codex":0.0003719229,"about_ca_topic_score_gemma":0.00035658613,"teacher_disagreement_score":0.0055567427,"about_ca_system_score_codex":0.00069145684,"about_ca_system_score_gemma":0.000403026,"threshold_uncertainty_score":0.018589139},"labels":[],"label_agreement":null},{"id":"W1986061087","doi":"10.2140/gt.2013.17.2513","title":"Commuting tuples in reductive groups and their maximal compact subgroups","year":2013,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":32,"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; Tuple; Reductive group; Maximal subgroup; Combinatorics; Pure mathematics; Group (periodic table); Discrete mathematics; Normal subgroup; Group theory; Physics","score_opus":0.026932360318510058,"score_gpt":0.2893150022037523,"score_spread":0.26238264188524224,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986061087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90811294,0.00068308937,0.07044925,0.0005868942,0.00013412196,0.00006512645,0.00019781904,0.00019136252,0.019579325],"genre_scores_gemma":[0.98361266,0.00034441616,0.009158881,0.00009136347,0.00009103038,0.00006500711,0.00019194279,0.000030925483,0.0064138123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904174,0.0002473708,0.00008986054,0.00020253225,0.0001949447,0.00022348751],"domain_scores_gemma":[0.99933463,0.00019897275,0.0001454675,0.00007657415,0.00006730914,0.00017697104],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015337857,0.0005600866,0.0005123314,0.0013444293,0.0013180056,0.003382063,0.00059265486,0.0008171569,0.0036655068],"category_scores_gemma":[0.001418822,0.00041262325,0.00076109695,0.0012062283,0.003404544,0.0048434557,0.0023810386,0.0010521895,0.0004617665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050932424,0.000015520318,0.0005498402,0.000020115225,0.000008991504,0.00014617169,0.0012656465,0.00033914513,0.0021124308,0.99236745,0.00017832874,0.002945468],"study_design_scores_gemma":[0.000054653294,0.00010987928,0.000918928,0.0000210571,0.000025575546,0.00031084265,0.0014636004,0.003989225,0.0033966636,0.9840719,0.0056144693,0.000023037945],"about_ca_topic_score_codex":0.0005979204,"about_ca_topic_score_gemma":0.0004166261,"teacher_disagreement_score":0.0036655068,"about_ca_system_score_codex":0.0008804166,"about_ca_system_score_gemma":0.0004937968,"threshold_uncertainty_score":0.012262344},"labels":[],"label_agreement":null},{"id":"W1986442463","doi":"10.4153/cmb-2001-030-4","title":"A Proof of Casselman-Shahidi’s Conjecture for Quasi-split Classical Groups","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":61,"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; Quotient; Pure mathematics; Classical group; Algebra over a field; Lie group","score_opus":0.03353119078683483,"score_gpt":0.292491131771882,"score_spread":0.2589599409850472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986442463","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6909353,0.0012397188,0.06955212,0.014152038,0.0009048347,0.000062691695,0.00027042875,0.00057105103,0.22231178],"genre_scores_gemma":[0.98803174,0.00023316167,0.0048627425,0.00033347527,0.00021624475,0.000013385435,0.000086055195,0.000016835496,0.0062064384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948907,0.00006709342,0.00002209276,0.000098279656,0.00019927678,0.0001241702],"domain_scores_gemma":[0.99819225,0.0007666436,0.00013931113,0.00023956278,0.00034745492,0.00031471258],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015469651,0.0003421008,0.00045901045,0.0011234147,0.0020371345,0.001927473,0.0007535323,0.0008851582,0.009515342],"category_scores_gemma":[0.0025402738,0.00032168487,0.00054741744,0.00081049354,0.005825168,0.002884424,0.0033503359,0.0020361284,0.00054384745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002633082,0.000019446203,0.0006710851,0.000029559566,0.0000053222366,0.00019375591,0.00047810428,0.00038756986,0.00061824254,0.99246854,0.0026073817,0.0024946164],"study_design_scores_gemma":[0.00004948665,0.000040177227,0.0016517402,0.000036116755,0.000015182963,0.0003195932,0.00051489566,0.0039493353,0.0021222753,0.9747165,0.016568374,0.000016263562],"about_ca_topic_score_codex":0.0013440364,"about_ca_topic_score_gemma":0.0014399388,"teacher_disagreement_score":0.009515342,"about_ca_system_score_codex":0.0016168222,"about_ca_system_score_gemma":0.00091129035,"threshold_uncertainty_score":0.03183198},"labels":[],"label_agreement":null},{"id":"W1986767304","doi":"10.4064/aa141-3-4","title":"Representations by sextenary quadratic forms whose coefficients are 1, 2 and 4","year":2010,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Algebra and Geometry","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":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quadratic equation; Pure mathematics; Geometry","score_opus":0.014054900837498696,"score_gpt":0.3096418877761427,"score_spread":0.295586986938644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986767304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64340085,0.0008103683,0.07637535,0.003293687,0.0021400722,0.0001641805,0.00052610633,0.0008560403,0.27243337],"genre_scores_gemma":[0.86176896,0.0006266539,0.01477858,0.00087442977,0.001229833,0.000116164,0.00048069522,0.00041863276,0.11970607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990356,0.00019208911,0.000046217552,0.000120208,0.00027962957,0.00032630615],"domain_scores_gemma":[0.9993637,0.00011742422,0.00012410739,0.00010832616,0.00012124655,0.00016510914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008950164,0.001361085,0.0010813624,0.0028974256,0.0024953291,0.003945223,0.0015874979,0.0022329988,0.02055321],"category_scores_gemma":[0.0017512903,0.00075300573,0.0012002992,0.0019096126,0.0034227122,0.0052348995,0.002681265,0.0030985463,0.0034693812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078479585,0.000036993646,0.00012745908,0.00002609188,0.000009825308,0.00014999282,0.00036325224,0.0003249791,0.001912882,0.98809904,0.0019431685,0.0069278874],"study_design_scores_gemma":[0.000050237366,0.00004841312,0.0002853506,0.000017386325,0.000012503628,0.00029354147,0.00017860957,0.0021931024,0.0010698475,0.9897305,0.006089085,0.000031408643],"about_ca_topic_score_codex":0.00057913485,"about_ca_topic_score_gemma":0.00061597826,"teacher_disagreement_score":0.02055321,"about_ca_system_score_codex":0.0012282939,"about_ca_system_score_gemma":0.00073396723,"threshold_uncertainty_score":0.068757296},"labels":[],"label_agreement":null},{"id":"W1987098492","doi":"10.4153/cjm-2009-011-2","title":"Klyachko Models for General Linear Groups of Rank 5 over a <i>p</i>-Adic Field","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Unitary state; Rank (graph theory); Extension (predicate logic); Uniqueness; Pure mathematics; Field (mathematics); General linear group; Algebra over a field; Combinatorics; Mathematical analysis; Symmetric group; Law","score_opus":0.03631580734313949,"score_gpt":0.29742049349008537,"score_spread":0.2611046861469459,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987098492","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8593958,0.00087478716,0.059278723,0.0028503696,0.00024457657,0.000072311384,0.00023655377,0.00022642966,0.076820485],"genre_scores_gemma":[0.9889361,0.0001510875,0.0038070271,0.00018961864,0.000070375085,0.000035428955,0.000090056696,0.000034551093,0.0066857026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994404,0.000118671174,0.00002533003,0.00007969189,0.00014996351,0.00018589577],"domain_scores_gemma":[0.99936527,0.00015781316,0.00014938657,0.00006932031,0.00006311626,0.00019502272],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062935025,0.00071623066,0.0006937264,0.0014695856,0.0029692252,0.0026636652,0.0008454762,0.0013610766,0.004874289],"category_scores_gemma":[0.0018790684,0.00046642392,0.0010513334,0.00061038375,0.0033719188,0.004905259,0.0023932732,0.0016909546,0.0006437967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002362882,0.000016030272,0.00035882232,0.000025829602,0.000004138242,0.00008141023,0.00032047371,0.00064785243,0.00057124754,0.99665856,0.00046233743,0.00082968693],"study_design_scores_gemma":[0.000026339836,0.000030149968,0.00037430247,0.00003196224,0.000006642792,0.00020775561,0.00039634766,0.008092887,0.0006313894,0.98889637,0.0012864667,0.000019409075],"about_ca_topic_score_codex":0.0013309111,"about_ca_topic_score_gemma":0.0015892764,"teacher_disagreement_score":0.004874289,"about_ca_system_score_codex":0.0018310205,"about_ca_system_score_gemma":0.0010708882,"threshold_uncertainty_score":0.016306102},"labels":[],"label_agreement":null},{"id":"W1987758774","doi":"10.1016/j.jalgebra.2008.06.036","title":"Direct limits of Schubert varieties and global sections of line bundles","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"University of Alberta","keywords":"Mathematics; Line (geometry); Schubert variety; Pure mathematics; Geometry","score_opus":0.04044532888239435,"score_gpt":0.306364403719603,"score_spread":0.26591907483720867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987758774","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87789196,0.0015817484,0.045827195,0.0007714415,0.00015155204,0.000052628693,0.00017021655,0.00022945125,0.073323734],"genre_scores_gemma":[0.97848696,0.0006056845,0.0042142128,0.00008379088,0.00020268705,0.000038899547,0.0001375751,0.00006317742,0.016166976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991572,0.00019278623,0.000051926818,0.00018468653,0.00022763132,0.00018578727],"domain_scores_gemma":[0.99782336,0.00066902983,0.00036995395,0.00016162815,0.00031469922,0.0006612881],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013905884,0.0010135985,0.0009863742,0.0043326127,0.003524589,0.005197439,0.001223665,0.0013965314,0.008090419],"category_scores_gemma":[0.0034122826,0.0009972298,0.0008263006,0.0020684248,0.0060092183,0.009353376,0.00448831,0.0027034832,0.0008210611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000473789,0.000035996734,0.00074007764,0.000025428586,0.000016185435,0.00023753382,0.0008666427,0.0003961724,0.0008151194,0.9942887,0.00027766862,0.0022531445],"study_design_scores_gemma":[0.000022941054,0.00003984089,0.0010781571,0.000015321275,0.00002201795,0.00030924001,0.00060221576,0.0016652617,0.00078813673,0.9934748,0.0019659696,0.000016157448],"about_ca_topic_score_codex":0.00083943835,"about_ca_topic_score_gemma":0.0011276379,"teacher_disagreement_score":0.008090419,"about_ca_system_score_codex":0.0014726578,"about_ca_system_score_gemma":0.0005769947,"threshold_uncertainty_score":0.027065098},"labels":[],"label_agreement":null},{"id":"W1987776800","doi":"10.1112/blms/bdq070","title":"Pluriharmonic maps into outer symmetric spaces and a subdivision of Weyl chambers","year":2010,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Embedding; Rank (graph theory); Manifold (fluid mechanics); Pure mathematics; Symmetric space; Subdivision; Harmonic; Mathematical analysis; Combinatorics; Physics","score_opus":0.0119111342585334,"score_gpt":0.26143588728166506,"score_spread":0.24952475302313165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987776800","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8902271,0.0004252851,0.028670728,0.0002871433,0.00006803186,0.000025191603,0.00007444227,0.00008392005,0.080138154],"genre_scores_gemma":[0.98355514,0.00014404736,0.0031038045,0.000034812583,0.000047122856,0.0000097905295,0.00005587381,0.000024321347,0.01302516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971896,0.00004991122,0.000012168746,0.00004490042,0.000067663066,0.000106305895],"domain_scores_gemma":[0.9996718,0.00005707055,0.000050300743,0.000052529296,0.000042639513,0.00012568681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029734636,0.00030230515,0.0002483449,0.0008044078,0.0007086476,0.0016892062,0.000249014,0.0002475579,0.003587589],"category_scores_gemma":[0.0005508596,0.00017597665,0.00025941213,0.0003792475,0.0021157628,0.0020164386,0.0015471588,0.0006540044,0.00035779804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003932868,0.000007977809,0.00046548955,0.000012899627,0.0000030874837,0.00008417359,0.00047242714,0.0006126595,0.004824325,0.98728716,0.00037597743,0.0058143567],"study_design_scores_gemma":[0.000027900898,0.00010991012,0.0046774037,0.000018293842,0.000014147284,0.00041869632,0.00082611054,0.007557439,0.007747438,0.9420032,0.036565054,0.00003426127],"about_ca_topic_score_codex":0.0009622263,"about_ca_topic_score_gemma":0.0008735337,"teacher_disagreement_score":0.003587589,"about_ca_system_score_codex":0.00042542323,"about_ca_system_score_gemma":0.00022526336,"threshold_uncertainty_score":0.012001753},"labels":[],"label_agreement":null},{"id":"W1989438880","doi":"10.4007/annals.2003.158.769","title":"A stable trace formula III. Proof of the main theorems","year":2003,"lang":"en","type":"article","venue":"Annals of Mathematics","topic":"Advanced Algebra and Geometry","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":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; TRACE (psycholinguistics); Pure mathematics; Calculus (dental)","score_opus":0.06871340721418977,"score_gpt":0.3364232449807332,"score_spread":0.26770983776654345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989438880","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1860588,0.0023384811,0.3971879,0.014104605,0.0017726253,0.00029893272,0.0013737024,0.0011734345,0.39569157],"genre_scores_gemma":[0.90097237,0.0016787585,0.03145519,0.0032625732,0.0010282074,0.0002795305,0.0007904257,0.000266165,0.060266722],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999645,0.000039595827,0.00002335784,0.00006784711,0.00014931642,0.00007487735],"domain_scores_gemma":[0.99922466,0.00021897226,0.000066658744,0.00007203757,0.00032421775,0.00009332912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070508564,0.00069640053,0.00057147554,0.0010363074,0.00097228965,0.0018783082,0.00089096586,0.0008265029,0.0132669825],"category_scores_gemma":[0.0018238323,0.00030023025,0.0013080618,0.0006160388,0.0020150947,0.002880958,0.0026307593,0.0028304053,0.0015457813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049990835,0.000034896733,0.00037021632,0.00012152078,0.000021248943,0.00023422112,0.00024102983,0.0004110409,0.004556932,0.9789796,0.005128414,0.009850899],"study_design_scores_gemma":[0.000027066597,0.000028441042,0.00042579032,0.00002576071,0.000015691588,0.00018711589,0.00012326369,0.0040840413,0.0025857182,0.9853454,0.0071423897,0.000009383629],"about_ca_topic_score_codex":0.0017830661,"about_ca_topic_score_gemma":0.00073822064,"teacher_disagreement_score":0.0132669825,"about_ca_system_score_codex":0.0011429535,"about_ca_system_score_gemma":0.0007780908,"threshold_uncertainty_score":0.044382453},"labels":[],"label_agreement":null},{"id":"W1989686124","doi":"10.1142/s179304211350070x","title":"LOCAL NEWFORMS AND FORMAL EXTERIOR SQUARE L-FUNCTIONS","year":2013,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Square (algebra); Pure mathematics; Unitary state; Galois module; Field (mathematics); Zero (linguistics); Algebra over a field; Geometry","score_opus":0.013007462555914485,"score_gpt":0.29926390707336537,"score_spread":0.28625644451745086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989686124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90607774,0.0004338261,0.049804743,0.00046830098,0.000109588356,0.000015971727,0.000027468117,0.00012212226,0.042940248],"genre_scores_gemma":[0.986147,0.00019263344,0.003818499,0.00009444905,0.00013411748,0.000013627689,0.000028322966,0.000033219716,0.009538044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996841,0.00006851489,0.000012895034,0.000072434435,0.00007328687,0.00008877181],"domain_scores_gemma":[0.99915993,0.00013323393,0.00014865985,0.0000820242,0.00014155773,0.0003346579],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062739133,0.00046173044,0.0003954108,0.0013317226,0.0009753346,0.0016222054,0.0004350114,0.00048495445,0.0033670464],"category_scores_gemma":[0.0016109094,0.00016758738,0.00043655947,0.00048054662,0.0036312772,0.0031917074,0.0017164333,0.0013368954,0.0005296708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047429345,0.000027949523,0.00089424785,0.000026795255,0.000006053161,0.00029428734,0.00055405986,0.0007654292,0.0040838057,0.986027,0.00036412466,0.006908785],"study_design_scores_gemma":[0.00003908106,0.000120419245,0.0024912893,0.000023672526,0.000011256203,0.0012692144,0.0005665621,0.010153817,0.0055124406,0.97273004,0.0070393425,0.000043010943],"about_ca_topic_score_codex":0.00024149215,"about_ca_topic_score_gemma":0.0001840348,"teacher_disagreement_score":0.0033670464,"about_ca_system_score_codex":0.00077731005,"about_ca_system_score_gemma":0.0002752542,"threshold_uncertainty_score":0.011263847},"labels":[],"label_agreement":null},{"id":"W1989693056","doi":"10.1016/s0021-8693(03)00068-1","title":"Clifford and Mackey theory for Weil representations of symplectic groups","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Waterloo; University of Alberta","funders":"","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Algebra over a field","score_opus":0.030410949238124665,"score_gpt":0.3368104170633025,"score_spread":0.30639946782517785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989693056","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69924754,0.0036581752,0.11957909,0.007607685,0.0011198233,0.000105497355,0.00025378095,0.00027375558,0.16815457],"genre_scores_gemma":[0.97406375,0.0008035366,0.0073874095,0.0004724631,0.0009626938,0.00006631701,0.00012081353,0.000057087975,0.01606573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929965,0.00018502686,0.000051161638,0.00010609606,0.00018016282,0.00017799425],"domain_scores_gemma":[0.9985812,0.00048714384,0.0002231192,0.00020647417,0.00017097422,0.00033125444],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025415898,0.0011050297,0.0015090974,0.0049709803,0.0052605676,0.0060491334,0.00132579,0.0023518428,0.0071441075],"category_scores_gemma":[0.0040943045,0.0006963335,0.0013894081,0.0025412815,0.0062776646,0.010733801,0.003723914,0.0031035184,0.00047331123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009472355,0.0000075161734,0.00008141703,0.000007753261,0.0000026173234,0.000026565573,0.00018872795,0.00013421876,0.00010353853,0.99854386,0.00019447663,0.0006999052],"study_design_scores_gemma":[0.000007069001,0.0000055439364,0.0000748545,0.0000048902443,0.0000024504059,0.000023014902,0.000060095103,0.0008858459,0.000046644684,0.99834526,0.00053924904,0.0000051174106],"about_ca_topic_score_codex":0.001927017,"about_ca_topic_score_gemma":0.0017452494,"teacher_disagreement_score":0.0071441075,"about_ca_system_score_codex":0.0025138382,"about_ca_system_score_gemma":0.0011095426,"threshold_uncertainty_score":0.023899376},"labels":[],"label_agreement":null},{"id":"W1990171593","doi":"10.1112/s0010437x13007203","title":"Implosion for hyperkähler manifolds","year":2013,"lang":"en","type":"preprint","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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; Banff International Research Station for Mathematical Innovation and Discovery; Danmarks Frie Forskningsfond","keywords":"Implosion; Quiver; Symplectic geometry; Geometry; Space (punctuation); Mathematics; Invariant (physics); Pure mathematics; Physics; Mathematical physics; Computer science","score_opus":0.0681997881709563,"score_gpt":0.3479637522977626,"score_spread":0.2797639641268063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990171593","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92656,0.0006850412,0.03444507,0.0010036799,0.00010652166,0.000030164472,0.00010986163,0.0001039431,0.036955796],"genre_scores_gemma":[0.9928389,0.00017708754,0.0026830444,0.000070092625,0.00004733789,0.00001365551,0.00007209113,0.000019068522,0.004078797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997178,0.00007409119,0.000015754867,0.000043448676,0.000105499625,0.000043433476],"domain_scores_gemma":[0.999734,0.000036620237,0.000048074824,0.000036440506,0.000061987914,0.00008299474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033822376,0.00035731914,0.00032529037,0.0010899325,0.00084987056,0.0015864521,0.0003447105,0.00046269462,0.002739192],"category_scores_gemma":[0.0005466158,0.000167785,0.00023823918,0.00044608483,0.0020332711,0.0023511515,0.0015308347,0.0008361995,0.00023805344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001742324,0.000011672424,0.00044809587,0.000021817901,0.0000042229103,0.00026306085,0.00029285328,0.0010003526,0.002209323,0.9934818,0.00036335262,0.0018859443],"study_design_scores_gemma":[0.000014962859,0.00006456017,0.0017518741,0.000015374979,0.0000071454547,0.0006183829,0.00036215252,0.015413598,0.0014603352,0.97405845,0.0062144557,0.000018623623],"about_ca_topic_score_codex":0.00049158407,"about_ca_topic_score_gemma":0.0004205616,"teacher_disagreement_score":0.002739192,"about_ca_system_score_codex":0.00073586695,"about_ca_system_score_gemma":0.0003050338,"threshold_uncertainty_score":0.009163499},"labels":[],"label_agreement":null},{"id":"W1990340620","doi":"10.1112/s0010437x03000150","title":"$\\mathcal P$-adic modular forms over Shimura curves over totally real fields","year":2004,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":40,"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; Unitary state; Modular form; Abelian group; Dimension (graph theory); Pure mathematics; Context (archaeology); Shimura variety; Kernel (algebra); Algebra over a field","score_opus":0.022126968326033038,"score_gpt":0.3114064689655976,"score_spread":0.28927950063956454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990340620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9571227,0.00034512696,0.021788016,0.00023818338,0.000029088542,0.000027140537,0.000047042773,0.000059889997,0.020342868],"genre_scores_gemma":[0.9900281,0.00044564958,0.0053697117,0.000030216064,0.000066549524,0.000022681626,0.000038568254,0.000010613059,0.003987965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99983597,0.000028750597,0.000008867972,0.000034660596,0.000044567136,0.000047197515],"domain_scores_gemma":[0.9997602,0.00003707875,0.00006909111,0.000038009122,0.00002297646,0.000072549046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003521867,0.0007405194,0.00036171707,0.0017307164,0.0011764824,0.0016287396,0.00044359337,0.000463542,0.002242759],"category_scores_gemma":[0.000525398,0.00022088292,0.00044941463,0.00090095086,0.0028013918,0.0026846614,0.0012229023,0.0009224144,0.00030091312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003698318,0.000040488747,0.0011366494,0.00004179472,0.000006230885,0.00022811732,0.00078509474,0.0020040106,0.0055603716,0.98178333,0.00020902384,0.008167934],"study_design_scores_gemma":[0.000027494552,0.00018484223,0.0032257922,0.000046504992,0.000018588882,0.00071147206,0.0009220384,0.02076028,0.0066453083,0.9603923,0.007033905,0.00003149159],"about_ca_topic_score_codex":0.00036679755,"about_ca_topic_score_gemma":0.00030715976,"teacher_disagreement_score":0.002242759,"about_ca_system_score_codex":0.00079065666,"about_ca_system_score_gemma":0.00029366303,"threshold_uncertainty_score":0.007502854},"labels":[],"label_agreement":null},{"id":"W1990717877","doi":"10.1016/j.jnt.2012.03.005","title":"Frobenius map and the p -adic Gamma function","year":2012,"lang":"en","type":"preprint","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Windsor","funders":"","keywords":"Conjecture; Mathematics; Exponential function; Diagonal; Power series; Quintic function; Computation; Pure mathematics; Function (biology); Series (stratigraphy); Matrix (chemical analysis); Gamma function; Generating function; Combinatorics; Mathematical analysis; Physics; Geometry; Algorithm","score_opus":0.024434488118820694,"score_gpt":0.3001762403919598,"score_spread":0.2757417522731391,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990717877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6304921,0.0059383963,0.10720873,0.010880608,0.0011826737,0.00005360549,0.00040559223,0.00026804584,0.24357033],"genre_scores_gemma":[0.9538347,0.0020141143,0.0113295615,0.00040441143,0.0012415323,0.000041935215,0.00011795505,0.00008462247,0.030931221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999708,0.00008158988,0.000012503648,0.000059102866,0.00009443584,0.00004437306],"domain_scores_gemma":[0.9994073,0.00020469126,0.00010043603,0.000049280698,0.00010792768,0.00013034676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079322245,0.0009590289,0.0007007552,0.002766975,0.0013715572,0.0027597514,0.00081258727,0.0009486999,0.0053225807],"category_scores_gemma":[0.00217862,0.0003613638,0.00042625866,0.0014568939,0.0034901593,0.0045143976,0.0015118056,0.002328066,0.00077933667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018387878,0.00000876344,0.0001241856,0.000013320102,0.0000031314544,0.000068682406,0.00010534411,0.000401156,0.0003697027,0.99552226,0.0005699701,0.0027951198],"study_design_scores_gemma":[0.0000072056137,0.00000484316,0.00013699834,0.000005922955,0.0000021742692,0.0000866848,0.000037154005,0.0013874887,0.00012685485,0.9966815,0.001517551,0.0000055331407],"about_ca_topic_score_codex":0.0009253598,"about_ca_topic_score_gemma":0.0006377803,"teacher_disagreement_score":0.0053225807,"about_ca_system_score_codex":0.001255799,"about_ca_system_score_gemma":0.0006911837,"threshold_uncertainty_score":0.017805815},"labels":[],"label_agreement":null},{"id":"W1990755114","doi":"10.1017/s0305004111000636","title":"Computing nilpotent and unipotent canonical forms: a symmetric approach","year":2011,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Algebra and Geometry","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":"Trinity College","funders":"","keywords":"Unipotent; Mathematics; Nilpotent; Algebraically closed field; Pure mathematics; Algebraic group; Group (periodic table); Linear algebraic group; Diagonal; Canonical form; Classical group; Algebraic number; Lie group; Reductive group; Bilinear form; Combinatorics; Group theory; Mathematical analysis","score_opus":0.05706800603352338,"score_gpt":0.2813917032998321,"score_spread":0.2243236972663087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990755114","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74111396,0.00021872637,0.24396478,0.00021855395,0.00008036716,0.00008329674,0.0002973123,0.00036484256,0.0136581315],"genre_scores_gemma":[0.9542947,0.000121928846,0.040807713,0.000043300784,0.00007527294,0.000032730844,0.0003348699,0.000101452446,0.004187934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908316,0.00015513226,0.00007413064,0.00017410745,0.0003374752,0.0001759556],"domain_scores_gemma":[0.9990213,0.00012615183,0.00012674998,0.00025173754,0.00024948592,0.00022456357],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090434897,0.0003698984,0.00078536203,0.0026421943,0.0009852449,0.0026595374,0.0012567904,0.0005283079,0.0041934354],"category_scores_gemma":[0.0030940985,0.00034015634,0.00069053064,0.0012661845,0.0015834008,0.0039857267,0.0027359568,0.00078827306,0.0010926193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000121267316,0.000104959836,0.0042269034,0.00006702371,0.000025950978,0.0002588065,0.00084784,0.0036518197,0.008638971,0.9368491,0.00095611,0.044251207],"study_design_scores_gemma":[0.00002450494,0.00008480905,0.0013273974,0.000035464636,0.000025586885,0.0003673274,0.0005271567,0.040282186,0.016594233,0.93392885,0.0067574,0.000045055323],"about_ca_topic_score_codex":0.00039357127,"about_ca_topic_score_gemma":0.00072698237,"teacher_disagreement_score":0.0041934354,"about_ca_system_score_codex":0.0010427594,"about_ca_system_score_gemma":0.0007748241,"threshold_uncertainty_score":0.01402843},"labels":[],"label_agreement":null},{"id":"W1992614979","doi":"10.1016/j.aim.2009.06.008","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-singular dichotomy for orbital measures of classical compact Lie groups","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Mathematics; Conjugacy class; Exponent; Lie group; Combinatorics; Geometry","score_opus":0.024434624747729172,"score_gpt":0.28428713426580793,"score_spread":0.25985250951807876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992614979","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006761457,0.0006082674,0.09587371,0.0091476,0.0014983262,0.00014445095,0.06259883,0.031504367,0.79186285],"genre_scores_gemma":[0.10276919,0.0025740205,0.10621162,0.0024760535,0.0015696633,0.00044330177,0.103290714,0.043931413,0.636734],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997441,0.000044497174,0.000021401105,0.000045410477,0.00012162538,0.000022843928],"domain_scores_gemma":[0.99914753,0.0002521834,0.0000694517,0.0001876323,0.00023529738,0.000107849526],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000442295,0.00068179425,0.00066166185,0.001981598,0.0007977688,0.0042295586,0.0013071757,0.000924971,0.4213307],"category_scores_gemma":[0.0018443465,0.00044411974,0.0005155622,0.0024322162,0.00068353466,0.0045062983,0.0012449422,0.0019281023,0.20324741],"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":[0.00008386938,0.000033594253,0.0002150351,0.00022106356,0.000009284108,0.000070393115,0.00023513206,0.00028561556,0.0017911127,0.19725381,0.7500702,0.049730923],"study_design_scores_gemma":[0.000060282506,0.000025943978,0.0017963893,0.00007879434,0.000008683905,0.00023716332,0.00020331556,0.003869276,0.005519874,0.17001691,0.81813246,0.00005090772],"about_ca_topic_score_codex":0.0036664875,"about_ca_topic_score_gemma":0.0041412003,"teacher_disagreement_score":0.4213307,"about_ca_system_score_codex":0.0013059537,"about_ca_system_score_gemma":0.00059624837,"threshold_uncertainty_score":0.82540154},"labels":[],"label_agreement":null},{"id":"W1993455468","doi":"10.1515/crelle.2006.027","title":"κ-types and Γ-asymptotic expansions","year":2006,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","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":"Toronto Public Health; University of Toronto","funders":"","keywords":"Mathematics; Geodetic datum; Type (biology); Pure mathematics; Element (criminal law); Domain (mathematical analysis); Character (mathematics); Field (mathematics); Representation (politics); Zero (linguistics); Irreducible representation; Mathematical analysis; Geometry","score_opus":0.016217682319482403,"score_gpt":0.29595545362891235,"score_spread":0.27973777130942995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993455468","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8772952,0.00033564534,0.053237688,0.00040112267,0.000063153886,0.000026712132,0.0001239019,0.00012565832,0.068390936],"genre_scores_gemma":[0.9864247,0.00016655942,0.005785975,0.00005559523,0.000037618043,0.00002208224,0.000075501855,0.000022330036,0.0074096792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969435,0.000059126865,0.000015671392,0.000054714397,0.00009584268,0.00008032814],"domain_scores_gemma":[0.99936193,0.00016883774,0.00012390966,0.00006503802,0.00011862531,0.00016167866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044658218,0.0002742287,0.00025263193,0.0010029069,0.00072976755,0.0012624562,0.00043578984,0.00028525456,0.0026180719],"category_scores_gemma":[0.001503953,0.0001898917,0.00038422688,0.00047190004,0.0019211117,0.0019475012,0.0017853556,0.0014210267,0.00037179087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032212025,0.000010377547,0.0011461478,0.000020594904,0.0000043206414,0.00008029214,0.00034301786,0.0009214973,0.002151635,0.9920225,0.00022863245,0.0030387528],"study_design_scores_gemma":[0.000031162705,0.00009227588,0.003189459,0.000043731605,0.000015460104,0.0005561594,0.000766321,0.009658369,0.0037845394,0.9738361,0.00800218,0.000024156689],"about_ca_topic_score_codex":0.00050365715,"about_ca_topic_score_gemma":0.00043943975,"teacher_disagreement_score":0.0026180719,"about_ca_system_score_codex":0.0008763611,"about_ca_system_score_gemma":0.0002261209,"threshold_uncertainty_score":0.0087583065},"labels":[],"label_agreement":null},{"id":"W1993597119","doi":"10.1016/s0021-8693(02)00023-6","title":"Formulae relating the Bernstein and Iwahori–Matsumoto presentations of an affine Hecke algebra","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Sheaf; Pure mathematics; Affine transformation; Cohomology; Basis (linear algebra); Sheaf cohomology; Resolution (logic); Algebra over a field; Geometry; Group cohomology","score_opus":0.04173469419533284,"score_gpt":0.3108668369033729,"score_spread":0.2691321427080401,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993597119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43186697,0.0013952486,0.25152194,0.005112668,0.0013228436,0.00019417772,0.0007108838,0.00068860105,0.30718663],"genre_scores_gemma":[0.9149816,0.0006924109,0.031522043,0.0007090662,0.0006594919,0.00010140108,0.000411564,0.00029942716,0.050623048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991217,0.00017573734,0.00005843095,0.00016857193,0.00026592799,0.00020954623],"domain_scores_gemma":[0.9989016,0.00037024476,0.0001561519,0.00013240159,0.00022686558,0.00021283067],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015250948,0.0007410347,0.0010396343,0.002129974,0.0024600904,0.0040961285,0.0018137159,0.0020569721,0.014831168],"category_scores_gemma":[0.0048388336,0.00064276817,0.000986314,0.0021360626,0.003957286,0.009576114,0.0028709497,0.0037113375,0.0016894828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017994544,0.000007987499,0.000060964754,0.000010578588,0.0000027186722,0.000050014267,0.0001946967,0.00018811051,0.0006559838,0.9963863,0.00048399708,0.0019407615],"study_design_scores_gemma":[0.000010483916,0.000010108567,0.00013317725,0.0000063503085,0.000005996552,0.00008235409,0.00011674842,0.0012890114,0.00044293588,0.99576086,0.0021249691,0.00001703994],"about_ca_topic_score_codex":0.0013271304,"about_ca_topic_score_gemma":0.0012522121,"teacher_disagreement_score":0.014831168,"about_ca_system_score_codex":0.0019512678,"about_ca_system_score_gemma":0.0010159217,"threshold_uncertainty_score":0.049615145},"labels":[],"label_agreement":null},{"id":"W1993607200","doi":"10.1016/s0021-8693(03)00399-5","title":"Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Alberta","funders":"","keywords":"Mathematics; Conjugacy class; Homogeneous; Pure mathematics; Diagonalizable matrix; Principal (computer security); Abelian group; Combinatorics; Eigenvalues and eigenvectors; Symmetric matrix","score_opus":0.025852053380529053,"score_gpt":0.30083439091465264,"score_spread":0.2749823375341236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993607200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73826873,0.0013459991,0.13933793,0.0033575927,0.0004217383,0.00014388718,0.00026309484,0.00031738266,0.11654366],"genre_scores_gemma":[0.96763265,0.0006695263,0.0094386125,0.00037724915,0.0006057051,0.000091956375,0.0002787894,0.00008509832,0.020820405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907124,0.0002561867,0.00006140886,0.00019588863,0.00022812263,0.0001871039],"domain_scores_gemma":[0.9975261,0.0010860526,0.00033165576,0.0003147609,0.00024508464,0.0004963861],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021253321,0.0011368932,0.0013491175,0.0031468289,0.004347704,0.0048644757,0.0011960895,0.0017293715,0.0062998612],"category_scores_gemma":[0.003975811,0.0008234485,0.0014387277,0.0019248914,0.0068512335,0.01067529,0.0055573774,0.0052570854,0.0009278101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025793668,0.000028237604,0.000205849,0.000012202239,0.000008432889,0.000073233554,0.0003962402,0.00016228884,0.00039149504,0.99698097,0.00029132728,0.0014238667],"study_design_scores_gemma":[0.000014970516,0.000012952578,0.00014409113,0.000002511628,0.0000062944578,0.000051244617,0.000102056125,0.00062421337,0.00021291774,0.99823403,0.0005896,0.0000050752105],"about_ca_topic_score_codex":0.00096023164,"about_ca_topic_score_gemma":0.0008571396,"teacher_disagreement_score":0.0062998612,"about_ca_system_score_codex":0.0017600751,"about_ca_system_score_gemma":0.00084208726,"threshold_uncertainty_score":0.02107513},"labels":[],"label_agreement":null},{"id":"W1993845640","doi":"10.4153/cmb-2010-080-2","title":"Interval Pattern Avoidance for Arbitrary Root Systems","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"National Science Foundation","keywords":"Mathematics; Interval (graph theory); Pure mathematics; Root (linguistics); Combinatorics; Linguistics","score_opus":0.020425137722314152,"score_gpt":0.2738450995524613,"score_spread":0.25341996183014714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993845640","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8112215,0.00027769775,0.13389465,0.00029372564,0.0000809041,0.000030029938,0.0000663561,0.00020889922,0.053926203],"genre_scores_gemma":[0.98947304,0.00008008274,0.006398346,0.000039222643,0.000026367063,0.000017065502,0.00003808233,0.00002909819,0.0038985913],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996439,0.000045864897,0.000022965945,0.00008934202,0.00012936314,0.000068405],"domain_scores_gemma":[0.999577,0.00008464517,0.000090323185,0.00011213706,0.00007644261,0.000059406015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003506279,0.00018151257,0.00035716844,0.00077378296,0.0007166683,0.0013023088,0.000426179,0.0002844366,0.0026094574],"category_scores_gemma":[0.0010467079,0.00011420914,0.00027236383,0.0004817294,0.0018104651,0.0021119076,0.0016412016,0.0009280266,0.00032007633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005338718,0.000012509262,0.0011874877,0.00004189241,0.0000070117085,0.00027274748,0.00047735465,0.0017904701,0.009765382,0.9727951,0.00059311744,0.01300342],"study_design_scores_gemma":[0.0000263336,0.00007419773,0.0017851059,0.000018509549,0.000014128454,0.0005226442,0.00056325796,0.010863493,0.006681685,0.9702641,0.00915934,0.000027293005],"about_ca_topic_score_codex":0.00025371913,"about_ca_topic_score_gemma":0.00024309003,"teacher_disagreement_score":0.0026094574,"about_ca_system_score_codex":0.00036867626,"about_ca_system_score_gemma":0.000181488,"threshold_uncertainty_score":0.008729517},"labels":[],"label_agreement":null},{"id":"W1994045196","doi":"10.1063/1.4869325","title":"Hermite polynomials and quasi-classical asymptotics","year":2014,"lang":"en","type":"preprint","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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; Grantová Agentura České Republiky","keywords":"Hermite polynomials; Toeplitz matrix; Mathematics; Hilbert space; Pure mathematics; Kernel (algebra); Classical orthogonal polynomials; Quantization (signal processing); Wilson polynomials; Orthogonal polynomials; Scheme (mathematics); Discrete orthogonal polynomials; Reproducing kernel Hilbert space; Algebra over a field; Mathematical analysis; Algorithm","score_opus":0.04075708705960171,"score_gpt":0.3282103388336105,"score_spread":0.2874532517740088,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994045196","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71838313,0.0010364905,0.19523978,0.0024183067,0.0006370359,0.000046404944,0.00016823219,0.00033236563,0.081738144],"genre_scores_gemma":[0.978053,0.00032456452,0.009831049,0.00017994977,0.00031246364,0.00001630133,0.000056655146,0.00004351422,0.011182504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995079,0.00013410782,0.000016396114,0.000061195075,0.00017881954,0.00010152835],"domain_scores_gemma":[0.99917126,0.00019149856,0.00013077736,0.00012691465,0.00016980142,0.00020974716],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000983948,0.00041741825,0.00044866916,0.0009564579,0.00093507173,0.0018171871,0.0009797446,0.00097432546,0.0043824404],"category_scores_gemma":[0.0026420197,0.00017856136,0.00036192095,0.00060978276,0.0027892073,0.0030657127,0.0014720724,0.0017858036,0.00038252503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068551144,0.0000089950545,0.00006663849,0.000007660206,0.00000120977,0.000027905204,0.000036294245,0.0005351426,0.00043441445,0.9980325,0.00016083778,0.0006814715],"study_design_scores_gemma":[0.000011677413,0.000026053558,0.00028393816,0.000008119096,0.0000025279285,0.00011791429,0.00006965315,0.023802694,0.000379758,0.9741751,0.001110204,0.000012453454],"about_ca_topic_score_codex":0.00092385814,"about_ca_topic_score_gemma":0.00067715906,"teacher_disagreement_score":0.0043824404,"about_ca_system_score_codex":0.00090621685,"about_ca_system_score_gemma":0.00057909265,"threshold_uncertainty_score":0.014660716},"labels":[],"label_agreement":null},{"id":"W1994796600","doi":"10.1093/qmath/hal007","title":"LIE G-TORI OF SYMPLECTIC TYPE","year":2006,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Symplectic geometry; Mathematics; Library science; Type (biology); Computer science; Pure mathematics; Geology","score_opus":0.02472106714584792,"score_gpt":0.29687811513193096,"score_spread":0.27215704798608303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994796600","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9695301,0.00028739925,0.012472398,0.00013249603,0.000045860856,0.00004808372,0.00014691787,0.00011071027,0.017226089],"genre_scores_gemma":[0.9931466,0.0001345825,0.003977044,0.000033122138,0.000045037727,0.000013761903,0.00017259194,0.000015261521,0.00246198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977,0.000025816707,0.000012827599,0.000049395527,0.000075972646,0.00006598666],"domain_scores_gemma":[0.9996233,0.000039890787,0.00012207618,0.000050244314,0.00006570177,0.00009880535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026472806,0.0004296729,0.0004364076,0.0014291859,0.000640883,0.0012632416,0.00055248523,0.0004761027,0.002195698],"category_scores_gemma":[0.00084336207,0.00018358823,0.00028234697,0.00072504964,0.0015973398,0.00097342866,0.0010638457,0.00056448905,0.00027912844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022885729,0.000048823284,0.01112768,0.00017024625,0.00003573582,0.0011516467,0.0018482084,0.0052369395,0.016392391,0.9404458,0.0026332159,0.020680547],"study_design_scores_gemma":[0.0001410894,0.00035209587,0.030500926,0.00008668118,0.00007749848,0.0033152837,0.0021177523,0.0528941,0.0143566495,0.8750547,0.02098825,0.00011493382],"about_ca_topic_score_codex":0.0008297197,"about_ca_topic_score_gemma":0.0007425839,"teacher_disagreement_score":0.002195698,"about_ca_system_score_codex":0.0004346514,"about_ca_system_score_gemma":0.00030099892,"threshold_uncertainty_score":0.007345319},"labels":[],"label_agreement":null},{"id":"W1995090204","doi":"10.4153/cmb-2006-042-2","title":"Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Modular form; Modular design; Construct (python library); Pure mathematics; Algebra over a field; Tensor (intrinsic definition); Representation (politics); Theta function; Computer science","score_opus":0.010700684412920432,"score_gpt":0.23541022880908882,"score_spread":0.2247095443961684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995090204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92151254,0.00017737664,0.054514688,0.0003120534,0.000353394,0.0000772285,0.000076243865,0.00020185926,0.022774603],"genre_scores_gemma":[0.9728224,0.00014009708,0.012959575,0.00013251684,0.00019277704,0.00004628917,0.00008350769,0.000098070646,0.0135247065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995104,0.00010089897,0.000030200457,0.00008741135,0.00014210294,0.00012893525],"domain_scores_gemma":[0.99925417,0.00006500099,0.00013525011,0.00010949797,0.00016271223,0.00027345048],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074387086,0.0010531533,0.0006348656,0.0022664883,0.0011124462,0.0018861917,0.0007349282,0.0011151285,0.005025511],"category_scores_gemma":[0.0015139919,0.00040342944,0.00071308896,0.0009732901,0.0019252377,0.0025533328,0.0015698136,0.0014171974,0.00069036975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010321744,0.00009441526,0.0008379719,0.00006500233,0.000015886422,0.00056659157,0.00070479535,0.0017586678,0.025266094,0.9605038,0.00086818513,0.009215406],"study_design_scores_gemma":[0.000094396564,0.00024654553,0.0016357346,0.000034475244,0.00002192013,0.0011700223,0.00033533468,0.01891656,0.014687142,0.9568197,0.0059630433,0.00007501344],"about_ca_topic_score_codex":0.00020771647,"about_ca_topic_score_gemma":0.0001821836,"teacher_disagreement_score":0.005025511,"about_ca_system_score_codex":0.0007813411,"about_ca_system_score_gemma":0.00051831605,"threshold_uncertainty_score":0.016811967},"labels":[],"label_agreement":null},{"id":"W1995832762","doi":"10.1112/s0010437x04001113","title":"Arthur R-groups, classical R-groups, and Aubert involutions for SO(2n + 1)","year":2005,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Université de Montréal","funders":"Purdue University","keywords":"Mathematics; Classical group; Group (periodic table); Orthogonal group; Combinatorics; Pure mathematics; Field (mathematics); Algebra over a field; Lie group","score_opus":0.03218313359893155,"score_gpt":0.31120128239414785,"score_spread":0.2790181487952163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995832762","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7526897,0.0012059537,0.056117635,0.0017097039,0.00032713107,0.00004848281,0.00010381243,0.000212734,0.18758477],"genre_scores_gemma":[0.97691023,0.00030174974,0.007000693,0.00013150388,0.00015907268,0.000022295457,0.000048469978,0.000017802802,0.015408167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976295,0.000053935368,0.000008650695,0.0000359718,0.000079538244,0.000058973346],"domain_scores_gemma":[0.999622,0.00009243174,0.000099642755,0.000060480437,0.000043174805,0.0000823731],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042467058,0.0005734209,0.000254907,0.0011157645,0.0016083195,0.0016071307,0.0005874293,0.0007259197,0.004121713],"category_scores_gemma":[0.00081441045,0.00019674913,0.0005218541,0.00046941862,0.0038696355,0.0024891507,0.0015704818,0.0011051807,0.00062500406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008018462,0.000008307045,0.00017636294,0.000008256617,0.0000018226157,0.00009289385,0.00016508164,0.00022687689,0.0006014942,0.9969118,0.00022773878,0.001571268],"study_design_scores_gemma":[0.000009680954,0.00003310856,0.00039417838,0.000009663898,0.000004755247,0.00023633915,0.00022641849,0.0027883064,0.00129529,0.9904992,0.004491138,0.000011850791],"about_ca_topic_score_codex":0.0007541742,"about_ca_topic_score_gemma":0.0010600843,"teacher_disagreement_score":0.004121713,"about_ca_system_score_codex":0.0007563752,"about_ca_system_score_gemma":0.00042054555,"threshold_uncertainty_score":0.013788521},"labels":[],"label_agreement":null},{"id":"W1996158690","doi":"10.1016/s0019-3577(04)80018-1","title":"Toward equivariant Iwasawa theory, II","year":2004,"lang":"en","type":"article","venue":"Indagationes Mathematicae","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":46,"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":"Equivariant map; Mathematics; Iwasawa theory; Pure mathematics; Algebra over a field; Conjecture","score_opus":0.06500942718370739,"score_gpt":0.32735282460356485,"score_spread":0.26234339741985746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996158690","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10084881,0.018167654,0.28103122,0.02052326,0.0046896483,0.000054139084,0.0002368946,0.0005603844,0.5738879],"genre_scores_gemma":[0.7007591,0.013704065,0.06062875,0.002736061,0.0049789874,0.00014084995,0.00034120135,0.00050771696,0.21620327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967766,0.000102814425,0.000012816021,0.000050936647,0.000106141146,0.000049533894],"domain_scores_gemma":[0.99978524,0.000050523337,0.000022561671,0.000049688744,0.00004848903,0.000043471504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007800998,0.00061635504,0.00054976414,0.0013476119,0.0010484857,0.00271695,0.0007926766,0.00076151406,0.004799882],"category_scores_gemma":[0.0010595684,0.00034515958,0.0006705387,0.00080344215,0.0027403906,0.0044012074,0.002077065,0.003336032,0.0017067014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000029126686,0.0000042412958,0.0000431157,0.000010049228,0.0000016899583,0.000010126664,0.000083397084,0.00017731838,0.00020230359,0.99623066,0.001304096,0.0019300989],"study_design_scores_gemma":[0.0000019755425,0.0000051176817,0.000080857506,0.000010461607,0.0000016179005,0.000026754044,0.000055143497,0.0010828534,0.00018258067,0.9874329,0.011116391,0.0000034555192],"about_ca_topic_score_codex":0.00042801953,"about_ca_topic_score_gemma":0.00035182596,"teacher_disagreement_score":0.004799882,"about_ca_system_score_codex":0.001109698,"about_ca_system_score_gemma":0.00060215406,"threshold_uncertainty_score":0.016057193},"labels":[],"label_agreement":null},{"id":"W1997397447","doi":"10.3103/s106836231203003x","title":"On the instability of the Riemann Hypothesis for varieties over finite fields","year":2012,"lang":"en","type":"article","venue":"Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)","topic":"Advanced Algebra and Geometry","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":"Mathematics; Instability; Finite field; Riemann hypothesis; Rational function; Riemann zeta function; Pure mathematics; Mathematical analysis; Discrete mathematics; Physics","score_opus":0.11340729912276387,"score_gpt":0.3441316292057376,"score_spread":0.23072433008297372,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997397447","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9336261,0.00056996534,0.045654584,0.0011445321,0.000045319186,0.000020749309,0.00007128717,0.000081272796,0.01878627],"genre_scores_gemma":[0.99708015,0.00014693156,0.001609431,0.000040056195,0.000030691772,0.000011609001,0.000028256713,0.000011866363,0.0010409593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995372,0.0001700179,0.000021402228,0.00005764566,0.00013544541,0.00007820387],"domain_scores_gemma":[0.99817896,0.0010277138,0.00027676357,0.0001481478,0.00016310408,0.00020529795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012109298,0.0005480797,0.0005874201,0.0014457302,0.0010235811,0.0019514998,0.0005244486,0.00068317965,0.0017622362],"category_scores_gemma":[0.005311704,0.00022710834,0.00044593558,0.00043065313,0.003903299,0.002613959,0.0021130173,0.0013324127,0.00019712694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003258663,0.000031659663,0.0046199495,0.00007836364,0.000031618565,0.0007472005,0.0009126865,0.017981524,0.014669446,0.9539254,0.0005767391,0.006099595],"study_design_scores_gemma":[0.000055774748,0.00014981415,0.0052753594,0.00003689236,0.000019861776,0.00053501973,0.00047181302,0.08806925,0.004412186,0.89965564,0.0012679538,0.000050424627],"about_ca_topic_score_codex":0.00083753635,"about_ca_topic_score_gemma":0.00031434116,"teacher_disagreement_score":0.0019514998,"about_ca_system_score_codex":0.0011216406,"about_ca_system_score_gemma":0.00034284717,"threshold_uncertainty_score":0.00813812},"labels":[],"label_agreement":null},{"id":"W1997496030","doi":"10.1007/s00039-009-0002-x","title":"An Embedding Theorem for Automorphism Groups of Cartan Geometries","year":2009,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Embedding; Automorphism; Inner automorphism; SO(8); Automorphism group; Rank (graph theory); Outer automorphism group; Group (periodic table); Alternating group; Lie group; Type (biology); Pure mathematics; Combinatorics","score_opus":0.025351966936915098,"score_gpt":0.3011613079052305,"score_spread":0.2758093409683154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997496030","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3449819,0.0034763562,0.38139078,0.0059607425,0.0011595344,0.000078691104,0.00065008947,0.0005821404,0.26171973],"genre_scores_gemma":[0.92494905,0.0014546347,0.03373762,0.00095132896,0.0010426283,0.000078842335,0.00045336373,0.00020862003,0.03712394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963534,0.00009498771,0.000017528648,0.00010212311,0.00009049444,0.00005951484],"domain_scores_gemma":[0.9992974,0.00027940318,0.00007588988,0.00011083787,0.00011705049,0.00011940396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008208636,0.00058890507,0.0005246926,0.0012729518,0.0012990556,0.0017657015,0.00065825693,0.00087672746,0.0061760675],"category_scores_gemma":[0.0014497987,0.00036222057,0.00082668883,0.0007894333,0.0021762715,0.005218801,0.0024137248,0.0023714674,0.0007790442],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000883023,0.000009087312,0.00010673484,0.00001575135,0.0000041616445,0.000030002475,0.00020228827,0.00019687094,0.00043424245,0.99492764,0.0007599666,0.0033044124],"study_design_scores_gemma":[0.000005478229,0.000014610297,0.00024686757,0.000006236051,0.0000051795205,0.00007434241,0.00006775469,0.0013331637,0.00024577172,0.9917576,0.0062374435,0.000005508767],"about_ca_topic_score_codex":0.00064937107,"about_ca_topic_score_gemma":0.00049034745,"teacher_disagreement_score":0.0061760675,"about_ca_system_score_codex":0.00064868724,"about_ca_system_score_gemma":0.00027886935,"threshold_uncertainty_score":0.020660937},"labels":[],"label_agreement":null},{"id":"W1997923269","doi":"10.1016/j.jnt.2007.06.012","title":"Langlands–Shahidi method and poles of automorphic L-functions III: Exceptional groups","year":2007,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Langlands–Shahidi method; Unitary state; Holomorphic function; Pure mathematics; Unitarity; Langlands dual group; Automorphic form; Unitary group; Automorphic L-function; Algebra over a field; Classical group; Lie group; Conjecture; Physics","score_opus":0.022447054319649527,"score_gpt":0.34553585697205824,"score_spread":0.3230888026524087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997923269","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44786796,0.0027987487,0.3859082,0.0048229494,0.0014612636,0.00009590564,0.00016329066,0.00069087837,0.15619077],"genre_scores_gemma":[0.92763734,0.00092294224,0.03635282,0.0004968147,0.0011268336,0.00007477575,0.00011444658,0.00027424574,0.032999787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994074,0.00023371461,0.00003014107,0.00009130932,0.00012596227,0.00011149267],"domain_scores_gemma":[0.9987243,0.0004792904,0.00014828755,0.00015637362,0.00019898762,0.0002927264],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022100664,0.0013153589,0.0013315127,0.004946373,0.0023896988,0.0035566252,0.0019217344,0.001823972,0.0068849674],"category_scores_gemma":[0.0043759043,0.00055771234,0.001279458,0.0015145376,0.004669418,0.005127644,0.0025557494,0.0033072615,0.0010638498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031469805,0.000016919179,0.0001466485,0.00002181089,0.0000069263224,0.00007961334,0.00019727899,0.00044203593,0.0006900189,0.9940069,0.0006081189,0.0037522349],"study_design_scores_gemma":[0.000017022106,0.000011301522,0.00014116731,0.0000146239045,0.000007649269,0.000112065776,0.00006234105,0.006110513,0.0004077086,0.99166507,0.0014357502,0.000014797895],"about_ca_topic_score_codex":0.00073474296,"about_ca_topic_score_gemma":0.000777353,"teacher_disagreement_score":0.0068849674,"about_ca_system_score_codex":0.0018382986,"about_ca_system_score_gemma":0.00077114475,"threshold_uncertainty_score":0.023032486},"labels":[],"label_agreement":null},{"id":"W2001612385","doi":"10.1090/s0894-0347-07-00574-7","title":"Parabolic transfer for real groups","year":2007,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; TRACE (psycholinguistics); Reciprocity law; Invariant (physics); Identity (music); Pure mathematics; Reciprocity (cultural anthropology); Mathematical analysis; Transfer (computing); Boundary (topology); Boundary value problem; Automorphic form; Mathematical physics","score_opus":0.026776728967180426,"score_gpt":0.33667238287483586,"score_spread":0.30989565390765544,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001612385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6767402,0.0010981471,0.16441046,0.006038864,0.0003833756,0.00009541017,0.00016707552,0.000210134,0.15085632],"genre_scores_gemma":[0.96195686,0.00043701375,0.008263332,0.00032074886,0.00028050403,0.00003985821,0.00007477728,0.00003970767,0.028587246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973685,0.0000589338,0.000009948646,0.000046649162,0.000097259326,0.00005039337],"domain_scores_gemma":[0.99964535,0.00007147249,0.000055326556,0.000055118006,0.00008990969,0.000082917766],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056933187,0.00030262207,0.00022068694,0.0007376461,0.000962483,0.0013571209,0.00040287676,0.0006426423,0.005578544],"category_scores_gemma":[0.001588706,0.00012044583,0.00033929903,0.00040645234,0.002591163,0.0022890521,0.0017511225,0.001139939,0.000864474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030217457,0.0000059420872,0.00007470399,0.000005669492,8.5888286e-7,0.000030182939,0.00018420318,0.00027118882,0.00046647227,0.99740463,0.00024440803,0.0013086463],"study_design_scores_gemma":[0.0000074469986,0.000015005108,0.00018340418,0.0000055972278,0.0000011785088,0.000081242186,0.00012686638,0.0049084052,0.00036328018,0.990531,0.0037729407,0.0000037076688],"about_ca_topic_score_codex":0.00086075347,"about_ca_topic_score_gemma":0.0003357756,"teacher_disagreement_score":0.005578544,"about_ca_system_score_codex":0.0014968159,"about_ca_system_score_gemma":0.00063301047,"threshold_uncertainty_score":0.018662095},"labels":[],"label_agreement":null},{"id":"W2001886145","doi":"10.4153/cjm-2000-034-6","title":"The Distributions in the Invariant Trace Formula Are Supported on Characters","year":2000,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":18,"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 Mathematical Society; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Modulo; Invariant (physics); TRACE (psycholinguistics); Pure mathematics; Argument (complex analysis); Cohomology; Algebra over a field; Discrete mathematics; Linguistics","score_opus":0.030948787979103092,"score_gpt":0.2729360653206903,"score_spread":0.24198727734158723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001886145","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8818004,0.00025025127,0.061675873,0.0019836721,0.00021655667,0.000025279016,0.000109715846,0.00022677075,0.053711556],"genre_scores_gemma":[0.99272025,0.00012482912,0.0016948247,0.000115067196,0.00016480414,0.00001059669,0.000057981488,0.000057792302,0.005053919],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994702,0.000106483974,0.000024663705,0.000102198,0.00014512843,0.00015135159],"domain_scores_gemma":[0.99880373,0.0003445752,0.00013095263,0.00014258966,0.0002766623,0.00030141673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074146065,0.00037497556,0.00062388874,0.0018027853,0.0014735521,0.002822389,0.00096704584,0.0011527406,0.005912305],"category_scores_gemma":[0.0038830966,0.00028753752,0.0005274462,0.00096357346,0.0033139011,0.0052090096,0.001819652,0.0015602293,0.0005175309],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036333135,0.000027551367,0.0005916324,0.000016814463,0.000005083975,0.00017042688,0.00030838314,0.00041430004,0.0014854941,0.9922065,0.0006293842,0.004108008],"study_design_scores_gemma":[0.000020188247,0.000025210269,0.00058626785,0.000007472523,0.0000051228662,0.00016216416,0.00013738615,0.0063553466,0.0010362399,0.9909334,0.00071916066,0.000012122766],"about_ca_topic_score_codex":0.0012663467,"about_ca_topic_score_gemma":0.0007803392,"teacher_disagreement_score":0.005912305,"about_ca_system_score_codex":0.0009844397,"about_ca_system_score_gemma":0.0004909559,"threshold_uncertainty_score":0.01977861},"labels":[],"label_agreement":null},{"id":"W2002091134","doi":"10.1007/s002080000116","title":"Fuchsian groups, automorphic functions and Schwarzians","year":2000,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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 Ottawa; Concordia University","funders":"","keywords":"Mathematics; Fuchsian group; Automorphic form; Connection (principal bundle); Pure mathematics; Zero (linguistics); Differential operator; Automorphic L-function; Differential (mechanical device); Langlands–Shahidi method; Geometry","score_opus":0.023025876245099386,"score_gpt":0.2672231318309798,"score_spread":0.2441972555858804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002091134","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6006938,0.029430892,0.084800266,0.014484277,0.0009014196,0.000040330207,0.00037390587,0.00020898756,0.26906613],"genre_scores_gemma":[0.9595417,0.0060780956,0.008638715,0.00052555976,0.0013009125,0.00004326135,0.00016514846,0.000030199992,0.023676528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996371,0.00015054333,0.000015817095,0.0000630465,0.00007606969,0.000057418776],"domain_scores_gemma":[0.99931145,0.00037597402,0.00011216533,0.00007685814,0.00005782808,0.0000657326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012147236,0.0008493873,0.0006316536,0.0023892522,0.0020304178,0.0029153146,0.00048984826,0.0018144958,0.005575892],"category_scores_gemma":[0.0019070748,0.00040851734,0.00049863284,0.0023508507,0.006206566,0.0053659985,0.0015321648,0.0028037266,0.0005612516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008049604,0.000005023938,0.0000823324,0.000010296365,0.0000025478244,0.000015592648,0.0001751881,0.00018868862,0.00013367577,0.99741447,0.0003800571,0.0015840569],"study_design_scores_gemma":[0.0000034972861,0.000004269285,0.00013837042,0.000003107823,0.0000017100061,0.00002621652,0.00004918833,0.00024412735,0.0000543549,0.99798894,0.0014833362,0.0000029277908],"about_ca_topic_score_codex":0.0010682131,"about_ca_topic_score_gemma":0.0010971063,"teacher_disagreement_score":0.005575892,"about_ca_system_score_codex":0.0012600134,"about_ca_system_score_gemma":0.00055085204,"threshold_uncertainty_score":0.018653214},"labels":[],"label_agreement":null},{"id":"W2002117445","doi":"10.1063/1.4790415","title":"The Poincaré algebra in rank 3 simple Lie algebras","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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 Toronto; Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; City University of New York","keywords":"Combinatorics; Lie algebra; Rank (graph theory); Mathematics; Embedding; Indecomposable module; Simple (philosophy); Automorphism; Pure mathematics","score_opus":0.023992258521151624,"score_gpt":0.29825989936519176,"score_spread":0.27426764084404015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002117445","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.898535,0.00027838405,0.04317737,0.000543227,0.00016190602,0.000054883705,0.0002242988,0.00027523865,0.05674974],"genre_scores_gemma":[0.9789115,0.00020414563,0.0050679585,0.00013286494,0.00012175419,0.00003867239,0.00030376652,0.000059674152,0.0151596945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996076,0.000060893723,0.000021486912,0.000055063967,0.00012568617,0.00012925905],"domain_scores_gemma":[0.999554,0.00006362797,0.000091537724,0.000046271798,0.00011321072,0.00013143348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030594805,0.00045341192,0.00026413208,0.0012706624,0.0011159388,0.0017813474,0.00037373503,0.0006247289,0.007921452],"category_scores_gemma":[0.0008003951,0.00023277782,0.0006079728,0.00078367844,0.0019326371,0.00238135,0.0012768279,0.00092132523,0.0018021822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006514053,0.000044586104,0.0008494732,0.0000420087,0.000009958814,0.00032063198,0.0011395717,0.0017521598,0.0064916844,0.9746698,0.0016987302,0.012916112],"study_design_scores_gemma":[0.00002533309,0.00008788464,0.0016786897,0.00002278751,0.000009653046,0.00026270535,0.0006440794,0.010120469,0.0045777513,0.97179407,0.010726487,0.000050023948],"about_ca_topic_score_codex":0.0016360242,"about_ca_topic_score_gemma":0.00095719955,"teacher_disagreement_score":0.007921452,"about_ca_system_score_codex":0.0008414432,"about_ca_system_score_gemma":0.000443564,"threshold_uncertainty_score":0.026499927},"labels":[],"label_agreement":null},{"id":"W2002145564","doi":"10.4153/cjm-2003-046-3","title":"The Closure Ordering of Nilpotent Orbits of the Complex Symmetric Pair (SO<sub><i>p</i>+<i>q</i></sub>, SO<i><sub>p</sub></i> × SO<i><sub>q</sub></i>)","year":2003,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Nilpotent; Closure (psychology); Orbit (dynamics); Conjecture; Combinatorics; Nilpotent matrix; Lie algebra; Space (punctuation); Nilpotent group; Group (periodic table); Pure mathematics; Eigenvalues and eigenvectors; Square matrix; Physics; Quantum mechanics; Symmetric matrix","score_opus":0.024833407720339176,"score_gpt":0.23722958264481708,"score_spread":0.2123961749244779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002145564","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9832986,0.00015688762,0.00859086,0.000083741084,0.000029093811,0.000025721421,0.00009791306,0.00003550629,0.007681701],"genre_scores_gemma":[0.9956174,0.00005455069,0.002409326,0.00001924286,0.000016752387,0.000018980894,0.00015004109,0.000016892198,0.0016968887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967897,0.000048171445,0.000025622408,0.00004852833,0.00009013138,0.00010857518],"domain_scores_gemma":[0.9991565,0.0001701273,0.00018235519,0.000051570758,0.00014895608,0.00029045442],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034154145,0.00024690613,0.0003595582,0.001295902,0.0012045044,0.0016426179,0.00040038273,0.0003042882,0.0026931085],"category_scores_gemma":[0.0010288924,0.00019808917,0.0003043352,0.00030115564,0.0020574578,0.001441853,0.0011936021,0.00054650876,0.00023738209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011255285,0.00018099605,0.0104685165,0.00021446472,0.000032464297,0.0021624956,0.0055307224,0.0043569286,0.06922789,0.8843652,0.0013061739,0.021028621],"study_design_scores_gemma":[0.00013501631,0.000591184,0.012088636,0.00015616155,0.000026841099,0.0013282556,0.005447331,0.034498442,0.046273388,0.8849413,0.014403828,0.000109679684],"about_ca_topic_score_codex":0.0013642152,"about_ca_topic_score_gemma":0.00089713844,"teacher_disagreement_score":0.0026931085,"about_ca_system_score_codex":0.00089918036,"about_ca_system_score_gemma":0.00047608477,"threshold_uncertainty_score":0.009009361},"labels":[],"label_agreement":null},{"id":"W2002457466","doi":"10.1007/s00222-010-0298-z","title":"Special cycles on unitary Shimura varieties I. Unramified local theory","year":2010,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":74,"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; Shimura variety; Invertible matrix; Homomorphism; Unitary state; Pure mathematics; Locus (genetics); Combinatorics; Modular form","score_opus":0.03346784574587548,"score_gpt":0.3084308965704852,"score_spread":0.27496305082460976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002457466","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6553043,0.009210204,0.05521397,0.0019898051,0.000570646,0.00004775657,0.00021914206,0.00028111011,0.2771631],"genre_scores_gemma":[0.96926224,0.0018404004,0.003577363,0.00017122767,0.00043225745,0.000030032263,0.00008265953,0.000049735703,0.024554083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998367,0.00003734652,0.0000070892497,0.00003524286,0.000045420657,0.000038198967],"domain_scores_gemma":[0.99979395,0.000046213616,0.000036594047,0.000036950518,0.000036328493,0.000049968927],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023381122,0.00042959754,0.00045248168,0.0016420082,0.0010877324,0.0017729932,0.00038009282,0.000579356,0.0069412803],"category_scores_gemma":[0.00074146455,0.00021952744,0.0004383142,0.0013652289,0.0025452832,0.0030334538,0.0014850469,0.0009995727,0.0007247529],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000782226,0.000005398865,0.00007168966,0.000018547817,0.0000013638485,0.00003252326,0.00014404698,0.00014363382,0.00036225308,0.9953572,0.0005378307,0.0033176022],"study_design_scores_gemma":[0.0000043374957,0.0000116795845,0.00023340421,0.000012228035,0.0000030812,0.00009143353,0.00009952085,0.00088351563,0.00032997804,0.9939131,0.0044127214,0.0000048530883],"about_ca_topic_score_codex":0.0006317918,"about_ca_topic_score_gemma":0.00054776034,"teacher_disagreement_score":0.0069412803,"about_ca_system_score_codex":0.0009244182,"about_ca_system_score_gemma":0.0003732903,"threshold_uncertainty_score":0.023220897},"labels":[],"label_agreement":null},{"id":"W2003511705","doi":"10.1007/bf01263092","title":"On a property of special groups","year":2001,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Advanced Algebra and Geometry","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":"Mathematics; Property (philosophy); Pure mathematics; Algebra over a field; Epistemology","score_opus":0.031172032046600066,"score_gpt":0.2822501061549498,"score_spread":0.2510780741083497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003511705","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5067109,0.0033391016,0.1552764,0.01273483,0.0017385244,0.000090064386,0.0003507141,0.0005738335,0.31918567],"genre_scores_gemma":[0.97044015,0.0010462437,0.010309017,0.0011653735,0.0018317373,0.00006808157,0.00027733986,0.000107561624,0.014754366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993044,0.00020119827,0.000033816264,0.00020077237,0.00013536739,0.00012441464],"domain_scores_gemma":[0.99731076,0.0013332177,0.0002780325,0.00046375953,0.00027850145,0.00033559167],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015633464,0.000704554,0.0011561771,0.002169156,0.0032930202,0.002514735,0.0009596453,0.0016082374,0.0069202106],"category_scores_gemma":[0.0038872673,0.00043605742,0.0013280198,0.0019274949,0.008391346,0.009577968,0.003576739,0.003935837,0.0005871447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030610474,0.000012860893,0.00017014118,0.000018366645,0.0000051794386,0.000040523417,0.00024035893,0.00014054176,0.0003168541,0.9957203,0.0008600639,0.0024443315],"study_design_scores_gemma":[0.000011368272,0.00001654462,0.00016837026,0.000004060005,0.0000050734625,0.00006150121,0.00005156689,0.0003639322,0.00014093403,0.9975401,0.0016328542,0.000003707848],"about_ca_topic_score_codex":0.00077533186,"about_ca_topic_score_gemma":0.0005918615,"teacher_disagreement_score":0.0069202106,"about_ca_system_score_codex":0.0013097828,"about_ca_system_score_gemma":0.00054246566,"threshold_uncertainty_score":0.023150444},"labels":[],"label_agreement":null},{"id":"W2004390690","doi":"10.1007/s00209-013-1238-6","title":"The Mahler measure of a Calabi–Yau threefold and special $$L$$ L -values","year":2013,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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 de Montréal; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Calabi–Yau manifold; Laurent polynomial; Pure mathematics; Measure (data warehouse); Hypergeometric function; Conjecture","score_opus":0.022461958578200072,"score_gpt":0.27371670700198913,"score_spread":0.2512547484237891,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004390690","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8533087,0.0022291664,0.04247626,0.0040806537,0.0005440316,0.000033468285,0.00032093155,0.00025483372,0.096751936],"genre_scores_gemma":[0.9874867,0.00043926018,0.003729377,0.00024682397,0.00052921585,0.000031525924,0.00014534892,0.0000748078,0.007316812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993523,0.00015046583,0.000035641628,0.00012840357,0.00017897015,0.00015431603],"domain_scores_gemma":[0.99858356,0.0003450283,0.00030740557,0.00008802237,0.00017444676,0.0005016045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010898458,0.0010426447,0.0011411443,0.005611276,0.0030644306,0.005610369,0.0018757926,0.0020701913,0.0059941015],"category_scores_gemma":[0.002726031,0.000634536,0.0008023057,0.0019903253,0.0059977425,0.004852593,0.0027345677,0.0022401516,0.0006866417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029026342,0.000011101892,0.00020490581,0.000020378788,0.000007931803,0.0000605976,0.00012676806,0.00040527456,0.00056175416,0.9970355,0.0004144326,0.0011223645],"study_design_scores_gemma":[0.00001227123,0.000018854496,0.00056774804,0.000016571541,0.000007956984,0.00015176571,0.00010561965,0.0046947217,0.0004911033,0.99273694,0.0011616672,0.000034869183],"about_ca_topic_score_codex":0.0014049842,"about_ca_topic_score_gemma":0.0009256384,"teacher_disagreement_score":0.0059941015,"about_ca_system_score_codex":0.0026701132,"about_ca_system_score_gemma":0.00090187753,"threshold_uncertainty_score":0.020052314},"labels":[],"label_agreement":null},{"id":"W2005599076","doi":"10.4153/cmb-2007-005-x","title":"Tensor Square of the Minimal Representation of<i>O</i>(<i>p</i>,<i>q</i>)","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":4,"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":"Canadian Mathematical Society; National Science Foundation","keywords":"Mathematics; Tensor product; Representation (politics); Tensor (intrinsic definition); Decomposition; Square (algebra); Pure mathematics; Space (punctuation); Product (mathematics); Algebra over a field; Geometry","score_opus":0.02648618972994696,"score_gpt":0.2899542998984178,"score_spread":0.2634681101684708,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005599076","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8669378,0.00030049557,0.079759374,0.0007148789,0.00027976735,0.000032900596,0.00010346686,0.00023301298,0.051638328],"genre_scores_gemma":[0.9852717,0.00010298777,0.005730925,0.00007064852,0.00008911184,0.0000084259345,0.000050242852,0.000071082,0.0086048525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99973136,0.000029659257,0.000011265901,0.00006732218,0.000086491644,0.00007378455],"domain_scores_gemma":[0.9996208,0.000036217047,0.00007424739,0.000038488266,0.000075330354,0.00015497717],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036044483,0.00042853985,0.00031782527,0.00089365756,0.0007439237,0.0014004655,0.00047075437,0.00038213778,0.0055300095],"category_scores_gemma":[0.00064999395,0.00017776396,0.00040913158,0.0003433172,0.0017164979,0.0018498923,0.0010367947,0.0008250436,0.00036729794],"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":[0.00005612956,0.000026593394,0.000753987,0.000036736456,0.000013381094,0.00022679333,0.00026158153,0.0009370186,0.010673865,0.9784532,0.0007658558,0.007794903],"study_design_scores_gemma":[0.000024144478,0.00018733548,0.0039621796,0.000026771444,0.0000372297,0.0011884046,0.0005135448,0.027063347,0.019752564,0.9369854,0.010199124,0.000059948976],"about_ca_topic_score_codex":0.0008170019,"about_ca_topic_score_gemma":0.0005707902,"teacher_disagreement_score":0.0055300095,"about_ca_system_score_codex":0.00073389104,"about_ca_system_score_gemma":0.00047710628,"threshold_uncertainty_score":0.018499672},"labels":[],"label_agreement":null},{"id":"W2005715694","doi":"10.1007/s11856-012-0117-x","title":"Splitting fields of characteristic polynomials of random elements in arithmetic groups","year":2012,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Mathematics; Conjugacy class; Equidistributed sequence; Finite field; Weyl group; Group (periodic table); Galois group; Symmetric group; Reductive group; Group theory; Algebra over a field; Pure mathematics; Discrete mathematics","score_opus":0.036807638909774405,"score_gpt":0.3256078980473307,"score_spread":0.2888002591375563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005715694","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.930545,0.000552291,0.048835985,0.001195221,0.00009801236,0.0000427018,0.00015268699,0.00009360792,0.018484531],"genre_scores_gemma":[0.99093926,0.00023119745,0.0036226069,0.00007270637,0.00021640197,0.000027066053,0.0001151816,0.00002366604,0.004751894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920756,0.00024111701,0.000030807012,0.000116874115,0.00020816273,0.00019536234],"domain_scores_gemma":[0.99602664,0.0020028385,0.0006104038,0.00023380933,0.000304315,0.0008219225],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017670627,0.00069933187,0.0009398203,0.002799569,0.0015090161,0.0028286723,0.0009523401,0.00085445144,0.0055096294],"category_scores_gemma":[0.0064957864,0.0005551848,0.0006859197,0.0013836648,0.003929412,0.0047078026,0.0018625549,0.0016942985,0.00041817612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007854867,0.000028183347,0.0009946002,0.000021101709,0.0000087595,0.00008116173,0.00032079947,0.00134763,0.0006554615,0.99367696,0.00027184776,0.0025149554],"study_design_scores_gemma":[0.000039668947,0.000029276338,0.0006936351,0.0000109804805,0.0000108740405,0.00012158766,0.00013646422,0.0070309034,0.00041154114,0.99090576,0.000596166,0.000013172644],"about_ca_topic_score_codex":0.0007916503,"about_ca_topic_score_gemma":0.00084499543,"teacher_disagreement_score":0.0055096294,"about_ca_system_score_codex":0.0017191243,"about_ca_system_score_gemma":0.00091560895,"threshold_uncertainty_score":0.018431485},"labels":[],"label_agreement":null},{"id":"W2006698464","doi":"10.1007/s10801-005-6904-2","title":"Katriel’s Operators for Products of Conjugacy Classes of Sn","year":2005,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Advanced Algebra and Geometry","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","keywords":"Conjugacy class; Mathematics; Differential operator; Fixed point; Operator (biology); Decomposition; Pure mathematics; Combinatorics; Symmetric group; Differential (mechanical device); Action (physics); Discrete mathematics; Mathematical analysis","score_opus":0.033223999552272204,"score_gpt":0.3226318168347896,"score_spread":0.2894078172825174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006698464","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6228329,0.0010288622,0.14521928,0.0024858844,0.0014241679,0.00020379797,0.00031703926,0.000614282,0.22587378],"genre_scores_gemma":[0.9121258,0.0006929616,0.023527341,0.00073416537,0.00070063944,0.00015790208,0.0002723138,0.00035109048,0.06143769],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849594,0.00031304048,0.00011768062,0.00025815293,0.00045295063,0.00036223783],"domain_scores_gemma":[0.99845016,0.00042288704,0.00026282205,0.0002056942,0.00021756199,0.0004409058],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024453343,0.0014454032,0.001041191,0.004998389,0.0038253302,0.0053490424,0.0015836006,0.002091119,0.012808124],"category_scores_gemma":[0.0030250438,0.0008171183,0.0018176516,0.0025722808,0.004849244,0.008589208,0.0049146293,0.003699262,0.0020219646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032594286,0.000021415866,0.00015219508,0.000013556708,0.0000065194845,0.00008119795,0.0003010794,0.00011060543,0.0005748292,0.99527967,0.0005133655,0.002912912],"study_design_scores_gemma":[0.00002300407,0.000023322697,0.0002921225,0.000013778106,0.000012189555,0.0002530835,0.00019527036,0.0014974676,0.0008202147,0.993048,0.003793924,0.000027542037],"about_ca_topic_score_codex":0.0012402312,"about_ca_topic_score_gemma":0.0017011168,"teacher_disagreement_score":0.012808124,"about_ca_system_score_codex":0.0025928926,"about_ca_system_score_gemma":0.0010985992,"threshold_uncertainty_score":0.042847395},"labels":[],"label_agreement":null},{"id":"W2007010982","doi":"10.1093/imrn/rnn027","title":"The Log-Concavity Conjecture for the Duistermaat-Heckman Measure Revisited","year":2008,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Conjecture; George (robot); Mathematics; Measure (data warehouse); Combinatorics; History; Computer science; Art history","score_opus":0.24678032159001626,"score_gpt":0.4628418728894505,"score_spread":0.21606155129943425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007010982","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8732263,0.00055208727,0.054126166,0.0067073135,0.00007885931,0.000028706223,0.00020401228,0.00020162587,0.064874895],"genre_scores_gemma":[0.993386,0.000113819595,0.0024686363,0.00024314279,0.000073995136,0.000020161906,0.00006464996,0.000029607747,0.003600005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991327,0.00022568338,0.000023420238,0.00013827387,0.00031438636,0.00016543912],"domain_scores_gemma":[0.996425,0.0019669516,0.0003607093,0.00039745207,0.00050830335,0.0003416272],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013021599,0.0002548844,0.0005909269,0.0008539594,0.0024355124,0.0024228273,0.0009758873,0.00092881353,0.004155849],"category_scores_gemma":[0.006828099,0.00037270182,0.00050511,0.0007818018,0.004320132,0.0028512203,0.0018365216,0.0019503653,0.00035819825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000455147,0.000018393739,0.002580609,0.000024073519,0.000005499886,0.000114005124,0.00015885539,0.0016111421,0.0006575437,0.99089545,0.0011239313,0.0027649086],"study_design_scores_gemma":[0.00002885541,0.000040783325,0.004252135,0.000024425313,0.000008531123,0.00045599494,0.00021891629,0.03901768,0.0017714794,0.9502887,0.0038632802,0.000029254354],"about_ca_topic_score_codex":0.002395363,"about_ca_topic_score_gemma":0.0016061187,"teacher_disagreement_score":0.004155849,"about_ca_system_score_codex":0.0018438586,"about_ca_system_score_gemma":0.000712411,"threshold_uncertainty_score":0.013902664},"labels":[],"label_agreement":null},{"id":"W2007242960","doi":"10.1016/j.jalgebra.2008.03.026","title":"The abelianizations of Weyl groups of root systems extended by abelian groups","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Dalhousie University","funders":"","keywords":"Mathematics; Abelian group; Root (linguistics); Pure mathematics; Weyl group; Rank of an abelian group; Elementary abelian group; Root system; Non-abelian group; Algebra over a field; Botany; Linguistics","score_opus":0.01887021681009994,"score_gpt":0.2700931815708522,"score_spread":0.2512229647607523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007242960","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8944885,0.0006046993,0.041469775,0.0011520997,0.00036395437,0.00008468829,0.00010794385,0.00023368117,0.061494734],"genre_scores_gemma":[0.9810616,0.0002711462,0.0052018184,0.0002196521,0.00036482117,0.00005073019,0.00010908268,0.00008613217,0.012635122],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989766,0.00025845112,0.00004881519,0.00016393956,0.00022542874,0.00032678482],"domain_scores_gemma":[0.9986235,0.00035264323,0.000272565,0.00018494698,0.00016205468,0.00040425698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013686541,0.0009495386,0.001057295,0.0026471575,0.0026191343,0.004105318,0.0011897332,0.0012988268,0.0075022574],"category_scores_gemma":[0.0024110863,0.00058135175,0.0011114003,0.0013095477,0.005989597,0.0061090775,0.0033372354,0.002877267,0.0007262224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061393635,0.000020313008,0.00023031014,0.000011980948,0.00000829911,0.00009775465,0.0005641894,0.0003559535,0.0013336086,0.9949485,0.00022801237,0.0021396056],"study_design_scores_gemma":[0.000036907582,0.00004088442,0.0004928582,0.000008680539,0.000010602068,0.000107033404,0.00033371267,0.0011510062,0.00062755606,0.99549145,0.0016814729,0.00001780085],"about_ca_topic_score_codex":0.00064460863,"about_ca_topic_score_gemma":0.0006709446,"teacher_disagreement_score":0.0075022574,"about_ca_system_score_codex":0.0011378716,"about_ca_system_score_gemma":0.00067127973,"threshold_uncertainty_score":0.025097549},"labels":[],"label_agreement":null},{"id":"W2007556972","doi":"10.1016/j.difgeo.2005.09.006","title":"Equivariant cohomology of real flag manifolds","year":2005,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Flag (linear algebra); Generalized flag variety; Pure mathematics; Lie group; Cohomology; Submanifold; Orbit (dynamics); Cohomology ring; Equivariant cohomology; Symmetric space; Equivariant map; Manifold (fluid mechanics); Maximal torus; Combinatorics; Lie algebra; Fundamental representation; Algebra over a field","score_opus":0.026438210323644053,"score_gpt":0.31010062773737374,"score_spread":0.28366241741372966,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007556972","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89030457,0.0018717851,0.034887582,0.0020745406,0.00034253264,0.000023719282,0.00018884827,0.00022849574,0.070078105],"genre_scores_gemma":[0.98348755,0.0006143737,0.0020400314,0.00012651227,0.00032840803,0.000009971004,0.00012780484,0.000032979984,0.013232402],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968493,0.00008050622,0.000013294331,0.000055974324,0.00009142312,0.000073855816],"domain_scores_gemma":[0.9995432,0.00009435564,0.00009772419,0.000041410764,0.00006479522,0.00015851572],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047272374,0.00061722304,0.0006064738,0.003061236,0.0012154419,0.0019623244,0.0007873391,0.00058637204,0.0045627123],"category_scores_gemma":[0.0012839674,0.00029270313,0.00032805998,0.0013105919,0.0019547225,0.0038713138,0.0022989276,0.0012593733,0.0003438575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032989807,0.00002548698,0.0008440044,0.000029546134,0.000008411875,0.00014955107,0.0005042898,0.0007127484,0.0013220119,0.98899007,0.0008158054,0.0065651913],"study_design_scores_gemma":[0.00001011937,0.000021543914,0.0014861679,0.000010527328,0.000007777897,0.00021653567,0.0002710933,0.0035910702,0.0005114969,0.9900926,0.0037681265,0.0000128529555],"about_ca_topic_score_codex":0.0009840633,"about_ca_topic_score_gemma":0.00083773513,"teacher_disagreement_score":0.0045627123,"about_ca_system_score_codex":0.0011020829,"about_ca_system_score_gemma":0.00033698333,"threshold_uncertainty_score":0.015263796},"labels":[],"label_agreement":null},{"id":"W2007589229","doi":"10.4153/cmb-2015-031-1","title":"Higher Moments of Fourier Coefficients of Cusp Forms","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Shandong University","keywords":"Mathematics; Holomorphic function; Cusp (singularity); Cusp form; Modular form; Fourier series; Pure mathematics; Modular group; Space (punctuation); Function (biology); Arithmetic; Mathematical analysis; Geometry","score_opus":0.049348705921231306,"score_gpt":0.2952955394112319,"score_spread":0.24594683349000057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007589229","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93886125,0.00033139388,0.04284233,0.00035458343,0.00024702313,0.00002577061,0.00013952988,0.000217855,0.016980205],"genre_scores_gemma":[0.9909594,0.00016100187,0.0031079506,0.00004983469,0.0002492652,0.000020771377,0.00012836396,0.000094196264,0.005229257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929106,0.0000975156,0.00003644274,0.000088553126,0.00027400072,0.00021244612],"domain_scores_gemma":[0.9976496,0.0008004883,0.0003441311,0.00023346291,0.00040012505,0.0005721846],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012988577,0.00077183294,0.0008343041,0.003750792,0.0008492683,0.0017915717,0.0010128615,0.00080927066,0.008545099],"category_scores_gemma":[0.0063204947,0.00037007369,0.00072525034,0.000887544,0.0020074847,0.0024989352,0.0013637443,0.0011257424,0.00064612785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00064443063,0.00021759648,0.0076236078,0.00022596866,0.000079461635,0.0015950678,0.0010118805,0.012152129,0.04153614,0.9065757,0.0025342857,0.025803857],"study_design_scores_gemma":[0.000114027476,0.0001896378,0.028733352,0.00019101708,0.000102870625,0.0021389564,0.00053377106,0.22985323,0.02108977,0.7117322,0.0050047794,0.0003164492],"about_ca_topic_score_codex":0.0007668662,"about_ca_topic_score_gemma":0.0006906744,"teacher_disagreement_score":0.008545099,"about_ca_system_score_codex":0.0010088307,"about_ca_system_score_gemma":0.0005184085,"threshold_uncertainty_score":0.028586209},"labels":[],"label_agreement":null},{"id":"W2007762151","doi":"10.4153/cmb-2005-008-8","title":"Products of Conjugacy Classes in <i>SU</i>(2)","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Conjugacy class; Mathematics; Characterization (materials science); Property (philosophy); Combinatorics; Pure mathematics","score_opus":0.024491423638235088,"score_gpt":0.27638749028020326,"score_spread":0.2518960666419682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007762151","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7128286,0.00058542273,0.0663086,0.00059136486,0.00054687745,0.00013074861,0.00034277522,0.00046225896,0.21820334],"genre_scores_gemma":[0.96252817,0.00025235664,0.012700131,0.00022432866,0.00022200165,0.00009709991,0.00030690938,0.00018598296,0.023482956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992962,0.00009646773,0.00004916941,0.000116085306,0.00027247277,0.00016960074],"domain_scores_gemma":[0.9994816,0.00007526774,0.00011975581,0.000113406095,0.00010530123,0.00010472048],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071295234,0.00072174263,0.0005801257,0.0013200885,0.0017249435,0.0031173697,0.0006808862,0.000596145,0.008940405],"category_scores_gemma":[0.00085017434,0.00032174774,0.0008296798,0.0007960598,0.0021351918,0.0027308709,0.0013458796,0.0011426095,0.0012851653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007000413,0.000049828897,0.0007050764,0.000034975386,0.0000117179015,0.00031361496,0.0004139911,0.00064969424,0.006760434,0.97926784,0.0022231392,0.009499801],"study_design_scores_gemma":[0.000047231835,0.000118636,0.0016879959,0.00002738542,0.000019058778,0.0004950359,0.00022864396,0.004191024,0.008566756,0.96568584,0.01888271,0.000049603346],"about_ca_topic_score_codex":0.0007873976,"about_ca_topic_score_gemma":0.0007336592,"teacher_disagreement_score":0.008940405,"about_ca_system_score_codex":0.00091067806,"about_ca_system_score_gemma":0.0005056876,"threshold_uncertainty_score":0.029908597},"labels":[],"label_agreement":null},{"id":"W2008006386","doi":"10.1007/s00208-003-0409-x","title":"Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum","year":2003,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Hardy space; Bounded function; Symmetric space; Pure mathematics; Holomorphic function; Hilbert space; Spectrum (functional analysis); Isomorphism (crystallography); Triple system; Boundary (topology); Space (punctuation); Subspace topology; Domain (mathematical analysis); Mathematical analysis","score_opus":0.026372275779140336,"score_gpt":0.2929965653323473,"score_spread":0.26662428955320694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008006386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56892985,0.0057554776,0.34310633,0.0058562965,0.00055929314,0.00005837355,0.00037870876,0.00023511151,0.07512048],"genre_scores_gemma":[0.97687143,0.0009920603,0.010221319,0.0002792503,0.0004918896,0.000037390044,0.00011636178,0.000045551937,0.0109447865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920636,0.00027835567,0.00004142659,0.00017199671,0.00018456497,0.00011737516],"domain_scores_gemma":[0.99613816,0.0019241839,0.00050286524,0.0003092755,0.00037243162,0.0007530988],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00221122,0.00089832954,0.0007907874,0.0017906995,0.0013433415,0.0038751017,0.0012157798,0.0015157942,0.0063184793],"category_scores_gemma":[0.0051299115,0.0005530482,0.00082541764,0.0009021226,0.0044235727,0.006108715,0.0025332032,0.0028295803,0.00040412287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017995679,0.000008985625,0.00013844116,0.000017723814,0.000007960245,0.00004488183,0.00010400406,0.00040627693,0.00054512627,0.997242,0.0002384951,0.00122803],"study_design_scores_gemma":[0.000010794283,0.000014464584,0.00024490478,0.0000063120197,0.00000603816,0.000078019526,0.000072688075,0.0037729365,0.0002092314,0.9948872,0.0006899061,0.0000075456774],"about_ca_topic_score_codex":0.0006544702,"about_ca_topic_score_gemma":0.0005868795,"teacher_disagreement_score":0.0063184793,"about_ca_system_score_codex":0.0013993165,"about_ca_system_score_gemma":0.0007557559,"threshold_uncertainty_score":0.021137416},"labels":[],"label_agreement":null},{"id":"W2008843925","doi":"10.1090/s1088-4165-2011-00395-2","title":"Compatible intertwiners for representations of finite nilpotent groups","year":2011,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Functor; Pure mathematics; Nilpotent; Symplectic geometry; Algebra over a field; Abelian group; Parameterized complexity; Representation theory; Lie group; Class (philosophy); Combinatorics; Computer science","score_opus":0.0781499482598761,"score_gpt":0.35194362883613195,"score_spread":0.27379368057625586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008843925","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7267165,0.000437159,0.22396234,0.0007932447,0.00019966612,0.00008729674,0.00008994724,0.00030718872,0.04740671],"genre_scores_gemma":[0.9746085,0.00015175903,0.019279651,0.000104732855,0.000102495,0.00006287109,0.0000667677,0.000087951004,0.005535306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912256,0.00019218444,0.000062873274,0.00016049358,0.00029308876,0.00016872841],"domain_scores_gemma":[0.99920386,0.00018427026,0.00015093699,0.0001669508,0.000089794856,0.00020418463],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001070231,0.00043213172,0.0003936435,0.0015582666,0.0014190403,0.0024090356,0.0008014697,0.0010522092,0.0032893694],"category_scores_gemma":[0.0021031848,0.00029339493,0.0007183183,0.00061677577,0.002500821,0.005331722,0.0029096692,0.0019508093,0.0005375263],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010779445,0.000020703808,0.00013565172,0.000008871293,0.0000027122205,0.00010791485,0.0003551424,0.00032554162,0.001707767,0.9950139,0.000115214214,0.0021957564],"study_design_scores_gemma":[0.000012734908,0.00004275412,0.00015270794,0.000012639154,0.000005683862,0.00016345468,0.00021260482,0.0061887056,0.0016365816,0.9893383,0.00222202,0.000011704121],"about_ca_topic_score_codex":0.00018009136,"about_ca_topic_score_gemma":0.0001971433,"teacher_disagreement_score":0.0032893694,"about_ca_system_score_codex":0.0007422974,"about_ca_system_score_gemma":0.00034310875,"threshold_uncertainty_score":0.011004031},"labels":[],"label_agreement":null},{"id":"W2008957866","doi":"10.4171/owr/2006/55","title":"Infinite-Dimensional Lie Theory","year":2007,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Advanced Algebra and Geometry","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":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Pure mathematics; Mathematics; Physics; Algebra over a field","score_opus":0.028801994353572374,"score_gpt":0.3152244897659628,"score_spread":0.2864224954123904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008957866","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05959809,0.023697758,0.1744671,0.010314505,0.001759648,0.00008432329,0.00063135684,0.0004160138,0.7290312],"genre_scores_gemma":[0.8159542,0.011690734,0.04933706,0.0023684711,0.002470143,0.00016627042,0.00070654514,0.00015772175,0.11714884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993273,0.00021434037,0.000027354965,0.00010482551,0.00025043948,0.00007578425],"domain_scores_gemma":[0.9996424,0.00009193332,0.00003312656,0.000051000276,0.000116872565,0.000064611646],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088152505,0.0006818979,0.0005825526,0.0014059371,0.0014538608,0.0020960225,0.00070588134,0.00096734765,0.007252196],"category_scores_gemma":[0.001035997,0.00016370304,0.0005589601,0.00069504,0.0033957085,0.0032070547,0.0017507734,0.0016830685,0.0019470572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000013227555,0.0000017527575,0.000027241731,0.000012070992,0.0000016869049,0.000016496777,0.00009015567,0.00017564237,0.000089895446,0.9969547,0.0010412765,0.0015877148],"study_design_scores_gemma":[0.000001711981,0.0000051457655,0.00006773138,0.000011278749,0.0000013462544,0.00004580955,0.000042253883,0.0011062144,0.000054784046,0.9797285,0.018931748,0.0000034430536],"about_ca_topic_score_codex":0.001494357,"about_ca_topic_score_gemma":0.00090115855,"teacher_disagreement_score":0.007252196,"about_ca_system_score_codex":0.0016086348,"about_ca_system_score_gemma":0.00069066195,"threshold_uncertainty_score":0.024260998},"labels":[],"label_agreement":null},{"id":"W2009754675","doi":"10.1016/j.aim.2013.02.013","title":"Multivariate diagonal coinvariant spaces for complex reflection groups","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":32,"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; Diagonal; Reflection (computer programming); Pure mathematics; Multivariate statistics; Hilbert space; Series (stratigraphy); Algebra over a field; Geometry; Statistics","score_opus":0.06026407877407519,"score_gpt":0.3685571409432787,"score_spread":0.3082930621692035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009754675","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57032186,0.001042068,0.3055036,0.0025046233,0.00063027465,0.00007948926,0.00037336198,0.00067289243,0.11887188],"genre_scores_gemma":[0.9560088,0.0005563322,0.014301267,0.0003611617,0.00067066547,0.0000759503,0.00034470294,0.00020946767,0.027471688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920803,0.0002031233,0.00003876938,0.00015978918,0.00020713014,0.00018319483],"domain_scores_gemma":[0.9988851,0.00023096793,0.0002347289,0.00016815473,0.00016463206,0.00031634854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011925681,0.0012377612,0.0008293873,0.0024002302,0.0016620449,0.003604805,0.0009636016,0.0009590399,0.011304668],"category_scores_gemma":[0.0018604774,0.00042645738,0.000715825,0.0015351715,0.0040492406,0.0047751274,0.0030940585,0.0028703136,0.0012735886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016425936,0.000010461781,0.00012173186,0.0000063784573,0.000003255794,0.00002184402,0.00011083464,0.00018780766,0.00050075527,0.99664426,0.00033739625,0.0020388078],"study_design_scores_gemma":[0.000013282608,0.000016126462,0.00025393878,0.0000053753206,0.0000059071317,0.000049575177,0.00011656118,0.002658051,0.00036473447,0.9947272,0.001776263,0.000013012575],"about_ca_topic_score_codex":0.0009804481,"about_ca_topic_score_gemma":0.0010151922,"teacher_disagreement_score":0.011304668,"about_ca_system_score_codex":0.0010460608,"about_ca_system_score_gemma":0.0006382691,"threshold_uncertainty_score":0.037817895},"labels":[],"label_agreement":null},{"id":"W2010360774","doi":"10.4153/cmb-2011-195-2","title":"Equivariant Forms: Structure and Geometry","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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 Ottawa; Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Equivariant map; Pure mathematics; Line bundle; Canonical bundle; Modular form; Differential (mechanical device); Geometry; Bundle; Algebra over a field","score_opus":0.034351648373587285,"score_gpt":0.2522976667159023,"score_spread":0.21794601834231503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010360774","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9058463,0.0011138883,0.02424786,0.00067584653,0.00015553826,0.000036487967,0.00018177954,0.000095911746,0.067646466],"genre_scores_gemma":[0.98898077,0.00024161529,0.002223344,0.00007258206,0.00011506364,0.000009502306,0.00013352225,0.000021304495,0.008202359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993887,0.00009984759,0.000040562,0.00016200804,0.00022259861,0.00008632654],"domain_scores_gemma":[0.9994997,0.00004295892,0.00013119416,0.000058886675,0.00011370033,0.00015363244],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000338341,0.0005371865,0.00030549656,0.0023270028,0.00074428465,0.0020899405,0.0004183717,0.00036658623,0.0037576908],"category_scores_gemma":[0.00090849394,0.00015771994,0.0002872224,0.001114982,0.0020943435,0.0024188636,0.0014667524,0.0008865327,0.00053669163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004763544,0.000029016337,0.0038581581,0.000033443688,0.000015943828,0.00021132264,0.00055359246,0.00067701004,0.005100536,0.9746459,0.0008470078,0.013980315],"study_design_scores_gemma":[0.000018260671,0.00010546754,0.006426154,0.000027581918,0.000021340176,0.0011372975,0.0005212099,0.0038586534,0.0036083092,0.96330804,0.020940503,0.000027185082],"about_ca_topic_score_codex":0.00038553198,"about_ca_topic_score_gemma":0.00025150695,"teacher_disagreement_score":0.0037576908,"about_ca_system_score_codex":0.0007341068,"about_ca_system_score_gemma":0.00022383576,"threshold_uncertainty_score":0.012570739},"labels":[],"label_agreement":null},{"id":"W2010486060","doi":"10.1016/j.geomphys.2007.11.005","title":"Turbiner’s conjecture in three dimensions","year":2007,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Advanced Algebra and Geometry","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":"Conjecture; Mathematics; Algebraic number; Pure mathematics; Cartesian coordinate system; Algebraic geometry; Type (biology); Algebra over a field; Mathematical analysis; Geometry","score_opus":0.02626353842446164,"score_gpt":0.3096255249206729,"score_spread":0.28336198649621125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010486060","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40054083,0.0039711525,0.06801356,0.07730119,0.0067795366,0.00014645538,0.0012016334,0.001318018,0.4407276],"genre_scores_gemma":[0.9525157,0.0010654018,0.010613086,0.005004439,0.0022480278,0.000093367176,0.00054941647,0.00019235253,0.0277181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984535,0.00031158447,0.00010096266,0.0003725607,0.00035225012,0.000409221],"domain_scores_gemma":[0.9965759,0.0014122189,0.00036095956,0.0008601944,0.00042463117,0.00036616492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024131392,0.0009509456,0.0025046982,0.002153129,0.004445146,0.004290774,0.002262483,0.00590593,0.0143630775],"category_scores_gemma":[0.006979609,0.0009176622,0.001967623,0.0018332099,0.008533463,0.015381705,0.0053218366,0.0061076237,0.0025962205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044173525,0.000015232163,0.00017362555,0.000041658328,0.000007432121,0.00009123893,0.00021908237,0.0003968679,0.00015505486,0.9920106,0.0048286524,0.0020163546],"study_design_scores_gemma":[0.000030713007,0.000008115599,0.0002578019,0.000011869161,0.0000053574986,0.00008609809,0.00009984829,0.0011199816,0.00008796492,0.99493283,0.0033454893,0.000013974145],"about_ca_topic_score_codex":0.0028703613,"about_ca_topic_score_gemma":0.0018134544,"teacher_disagreement_score":0.0143630775,"about_ca_system_score_codex":0.0017014787,"about_ca_system_score_gemma":0.001153787,"threshold_uncertainty_score":0.04804927},"labels":[],"label_agreement":null},{"id":"W2011524672","doi":"10.1112/s0010437x08003552","title":"Stark–Heegner points and the Shimura correspondence","year":2008,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Mathematics; Modular form; Pure mathematics; Quadratic equation; Type (biology); Eisenstein series; Fourier series; Hecke operator; Quadratic field; Algebra over a field; Mathematical analysis; Geometry; Quadratic function","score_opus":0.03745935881299254,"score_gpt":0.29129013043317586,"score_spread":0.2538307716201833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011524672","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9436001,0.00025353898,0.018544646,0.00040618246,0.00006630045,0.0000188738,0.00005513268,0.00011229393,0.036942903],"genre_scores_gemma":[0.9942023,0.00007603615,0.0022494008,0.000046050092,0.000047894977,0.000008316059,0.000025273273,0.0000140080865,0.0033307017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978334,0.000043722303,0.000008734475,0.00003861726,0.0000757033,0.00004995001],"domain_scores_gemma":[0.9996402,0.00008873092,0.00007562565,0.000059866477,0.00004282665,0.00009273664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047468522,0.00030333034,0.00031724558,0.0015246738,0.0008905678,0.0012834735,0.0005482085,0.00051395426,0.0072328323],"category_scores_gemma":[0.0019783606,0.00018132644,0.000310798,0.00070854963,0.0020867425,0.002027859,0.0014919214,0.001027591,0.00064476655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056539433,0.000022513372,0.0012787214,0.000018522898,0.000005732422,0.00015435582,0.00015353235,0.0013768504,0.002019483,0.98883027,0.0004878738,0.00559567],"study_design_scores_gemma":[0.000032283304,0.00004265299,0.0027744353,0.000013264135,0.000006716477,0.00026696894,0.00019529967,0.00754678,0.0016296288,0.98556095,0.0019143713,0.000016645143],"about_ca_topic_score_codex":0.00040094313,"about_ca_topic_score_gemma":0.000329325,"teacher_disagreement_score":0.0072328323,"about_ca_system_score_codex":0.00060980575,"about_ca_system_score_gemma":0.00024486234,"threshold_uncertainty_score":0.024196267},"labels":[],"label_agreement":null},{"id":"W2011729637","doi":"10.1093/imrn/rnt123","title":"Stably Cayley Groups in Characteristic Zero","year":2013,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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; Western University","funders":"","keywords":"Cayley graph; Cayley transform; Cayley's theorem; Isomorphism (crystallography); Algebraically closed field; Group (periodic table); Algebraic number; Reductive group","score_opus":0.12768565055087103,"score_gpt":0.43128779826315355,"score_spread":0.30360214771228256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011729637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96913606,0.0004906788,0.013052758,0.00046870095,0.00002568023,0.00001640057,0.00009723724,0.000061793726,0.016650736],"genre_scores_gemma":[0.9931023,0.00022926275,0.0033844826,0.00004380972,0.00005198659,0.000009853713,0.000095946445,0.000006769207,0.0030755291],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969757,0.000041091243,0.000019904644,0.000085334636,0.00008313438,0.000072929426],"domain_scores_gemma":[0.99941456,0.00013162737,0.00015006063,0.000053031945,0.000092696246,0.00015793928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002924652,0.00028543928,0.000237764,0.0011371798,0.0006584366,0.0016285217,0.00025661394,0.0002843254,0.0013834599],"category_scores_gemma":[0.0009669648,0.00015843667,0.00019461132,0.00081555406,0.0021212425,0.0022375858,0.0009765984,0.000646735,0.00019690245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004722729,0.000017477498,0.0044893334,0.000032901396,0.0000082058705,0.00018190604,0.0011484087,0.0014795425,0.003825765,0.97812736,0.00061124144,0.010030691],"study_design_scores_gemma":[0.0000441595,0.00012729323,0.004911782,0.000025144749,0.000018222172,0.0006366031,0.0014312975,0.009876626,0.0041260994,0.9675616,0.011217253,0.000023943023],"about_ca_topic_score_codex":0.0013537857,"about_ca_topic_score_gemma":0.0009236997,"teacher_disagreement_score":0.0016285217,"about_ca_system_score_codex":0.00093956065,"about_ca_system_score_gemma":0.0005269844,"threshold_uncertainty_score":0.006817043},"labels":[],"label_agreement":null},{"id":"W2011782677","doi":"10.1112/s0010437x12000176","title":"On Greenberg’s <i>L</i> -invariant of the symmetric sixth power of an ordinary cusp form","year":2012,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Lift (data mining); Cusp (singularity); Eigenvalues and eigenvectors; Rank (graph theory); Deformation theory; Cube (algebra); Cusp form; Power (physics)","score_opus":0.02325795086005588,"score_gpt":0.28863056827649153,"score_spread":0.26537261741643564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011782677","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9088064,0.00018142845,0.044587325,0.00041725484,0.0001933113,0.000033984776,0.00008944178,0.00019766013,0.04549328],"genre_scores_gemma":[0.99162346,0.000079455844,0.0029720343,0.000104464954,0.00007792111,0.00001199923,0.00003727997,0.000056815465,0.005036561],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997112,0.000038622064,0.000012213319,0.000054342458,0.00008104095,0.0001025834],"domain_scores_gemma":[0.9994286,0.000108641805,0.00008711351,0.00009366144,0.000074151176,0.00020788003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007087009,0.00044909987,0.0005701265,0.001908066,0.0010009019,0.0014494756,0.00079746556,0.00053016073,0.0056428555],"category_scores_gemma":[0.0015084314,0.0002498023,0.00070196093,0.0005416018,0.0036220106,0.002538998,0.0017985839,0.001294664,0.00075940386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006676879,0.000035113953,0.0012060389,0.000035854457,0.000008476379,0.00033373767,0.00046201696,0.0016625142,0.005875489,0.9823444,0.00060134486,0.0073681897],"study_design_scores_gemma":[0.000025763095,0.00008697657,0.0021567587,0.000027941154,0.000011749331,0.00046544286,0.00027056574,0.01654227,0.0064374735,0.9705161,0.0034158593,0.00004315926],"about_ca_topic_score_codex":0.00091610546,"about_ca_topic_score_gemma":0.00062729034,"teacher_disagreement_score":0.0056428555,"about_ca_system_score_codex":0.0013732212,"about_ca_system_score_gemma":0.0004916729,"threshold_uncertainty_score":0.018877268},"labels":[],"label_agreement":null},{"id":"W2011835009","doi":"10.1007/s00209-011-0878-7","title":"On the geometry and quantization of symplectic Howe pairs","year":2011,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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":"Saint Paul University","funders":"","keywords":"Mathematics; Moment map; Symplectic geometry; Geometric quantization; Symplectic manifold; Symplectic representation; Symplectomorphism; Pure mathematics; Lie group; Hamiltonian (control theory); Orbit (dynamics); Canonical quantization; Algebra over a field; Quantum; Physics","score_opus":0.0485274317930567,"score_gpt":0.2662318597079819,"score_spread":0.21770442791492522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011835009","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45013085,0.007512758,0.111431986,0.011289048,0.001571564,0.00011656179,0.0005760163,0.00025949732,0.4171116],"genre_scores_gemma":[0.9379811,0.0023987854,0.015511175,0.0008612936,0.00071731664,0.00007354381,0.00022132783,0.00011997256,0.04211547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994129,0.00021134576,0.000029008668,0.00008983985,0.0001531548,0.00010374997],"domain_scores_gemma":[0.9994911,0.00013957637,0.00006812881,0.00008424234,0.00009889201,0.00011797429],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011288464,0.0005247446,0.0007996678,0.0017275459,0.0030249949,0.0036838814,0.00079700106,0.0013863734,0.008033416],"category_scores_gemma":[0.0023653228,0.00047079794,0.0006232107,0.0010600454,0.0045856265,0.005949806,0.0030951165,0.0025415246,0.00081536407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052233463,0.0000032250211,0.000032578704,0.0000062624226,0.0000014585745,0.0000149402895,0.00013761665,0.00018207266,0.00010994412,0.9982338,0.00035783232,0.0009149694],"study_design_scores_gemma":[0.000004448466,0.000004949634,0.000075872245,0.0000038451813,9.654166e-7,0.000026404054,0.00009597382,0.00054313114,0.00004306401,0.9976198,0.0015771756,0.000004323868],"about_ca_topic_score_codex":0.0012361495,"about_ca_topic_score_gemma":0.0010929295,"teacher_disagreement_score":0.008033416,"about_ca_system_score_codex":0.0010929342,"about_ca_system_score_gemma":0.00058852124,"threshold_uncertainty_score":0.026874483},"labels":[],"label_agreement":null},{"id":"W2012184402","doi":"10.1142/s0218196703001304","title":"THE RENNER MONOIDS AND CELL DECOMPOSITIONS OF THE SYMPLECTIC ALGEBRAIC MONOIDS","year":2003,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Advanced Algebra and Geometry","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":"Western University","funders":"","keywords":"Mathematics; Monoid; Section (typography); Lattice (music); Algebraic number; Group (periodic table); Symplectic geometry; Intersection (aeronautics); Combinatorics; Pure mathematics; Mathematical analysis","score_opus":0.012178697987665134,"score_gpt":0.2910119119142206,"score_spread":0.27883321392655547,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012184402","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7043965,0.0015106517,0.24016641,0.0004307897,0.00024330521,0.00010104861,0.00032089837,0.00020151513,0.052628823],"genre_scores_gemma":[0.9132595,0.0006585885,0.063261464,0.00016174845,0.00017659208,0.00013646224,0.00030075238,0.00007572515,0.021969235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943393,0.00011767192,0.000045573935,0.00010770589,0.00019046271,0.00010446722],"domain_scores_gemma":[0.9994154,0.00012192595,0.00009265037,0.000102167156,0.000118674434,0.00014913654],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075211405,0.00037496342,0.00034671836,0.0013984619,0.0009971405,0.0017851883,0.0005982313,0.00042415675,0.004776743],"category_scores_gemma":[0.0010062036,0.00030238414,0.00050263223,0.0006270476,0.002026016,0.0034785464,0.0017232086,0.0012898245,0.0008258746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014353858,0.0000072905295,0.0002190547,0.000019010802,0.0000027582307,0.000057490222,0.00036109262,0.00045486056,0.0019805424,0.9926319,0.00016990973,0.00408167],"study_design_scores_gemma":[0.000016067086,0.00005312441,0.00071000063,0.000024176756,0.000011390098,0.0002646044,0.00049045536,0.008069402,0.006940316,0.9678852,0.015506052,0.000029216546],"about_ca_topic_score_codex":0.0006080533,"about_ca_topic_score_gemma":0.00083898933,"teacher_disagreement_score":0.004776743,"about_ca_system_score_codex":0.0005969691,"about_ca_system_score_gemma":0.0004009192,"threshold_uncertainty_score":0.015979826},"labels":[],"label_agreement":null},{"id":"W2012398210","doi":"10.4153/cjm-2008-020-8","title":"Quelques calculs de traces compactes et leurs transformées de Satake","year":2008,"lang":"fr","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Combinatorics","score_opus":0.11824578069861096,"score_gpt":0.3179340605673674,"score_spread":0.19968827986875642,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012398210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71128875,0.0009178877,0.22120161,0.0011926978,0.00030418913,0.000059033846,0.00023161115,0.00041582444,0.06438843],"genre_scores_gemma":[0.9185373,0.0007545171,0.030363288,0.00014002413,0.00020707354,0.00008369839,0.00026342805,0.0002534315,0.049397267],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929297,0.0001197057,0.000022559336,0.000108963024,0.00035537916,0.00010049419],"domain_scores_gemma":[0.9987435,0.0005834934,0.00010009841,0.00017539694,0.00023647254,0.00016107119],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010783221,0.00075966807,0.000727272,0.0016952358,0.0013864883,0.0025949613,0.0010597925,0.0007022373,0.012043836],"category_scores_gemma":[0.004614171,0.00038515028,0.001136504,0.0013619426,0.003702434,0.0049414607,0.0013547402,0.0026065798,0.0011998592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006944218,0.00004697169,0.0012092465,0.00007058094,0.000017036211,0.00021245312,0.00065502856,0.006618842,0.0033634177,0.9757884,0.0006503447,0.011298305],"study_design_scores_gemma":[0.000057564488,0.00012473254,0.0025604255,0.00005256664,0.000020791373,0.00048432732,0.00070283265,0.06299123,0.01073378,0.9106155,0.011602603,0.00005368057],"about_ca_topic_score_codex":0.0052664746,"about_ca_topic_score_gemma":0.0047180178,"teacher_disagreement_score":0.012043836,"about_ca_system_score_codex":0.0019917237,"about_ca_system_score_gemma":0.0010701846,"threshold_uncertainty_score":0.040290654},"labels":[],"label_agreement":null},{"id":"W2013789449","doi":"10.1016/j.jcta.2014.11.005","title":"Half-turn symmetric alternating sign matrices and Tokuyama type factorisation for orthogonal group characters","year":2014,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Sign (mathematics); Factorization; Orthogonal group; Group (periodic table); Character (mathematics); Combinatorics; Type (biology); General linear group; Pure mathematics; Weyl group; Symmetric group; Geometry; Mathematical analysis; Physics","score_opus":0.01843054326254419,"score_gpt":0.2820732678088319,"score_spread":0.26364272454628773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013789449","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.724897,0.00043782676,0.11873096,0.0014361838,0.0011317105,0.00011883439,0.00019734417,0.00051470066,0.15253533],"genre_scores_gemma":[0.946666,0.00027158757,0.01937221,0.0004530465,0.0004133845,0.00009018068,0.00015282193,0.0002824169,0.032298394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995285,0.00010490002,0.000024760076,0.00009142547,0.00010289785,0.00014747016],"domain_scores_gemma":[0.9994918,0.00012461386,0.00007572036,0.000097720935,0.00007476856,0.0001352601],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051721156,0.0010905385,0.00072895014,0.0019629484,0.002164182,0.0028137325,0.0010185989,0.0018537042,0.011510661],"category_scores_gemma":[0.0016652769,0.00058482157,0.00097178813,0.0010499436,0.0031050472,0.0045112013,0.0018070715,0.00224544,0.0015219063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005319738,0.000022891913,0.00010547254,0.000012422435,0.0000032811122,0.00015509508,0.00020516294,0.00022292027,0.0023033302,0.9926674,0.0006800386,0.0035688593],"study_design_scores_gemma":[0.00002295933,0.000027049657,0.00015442865,0.000008123174,0.000006522648,0.0002623785,0.00016724429,0.0026558721,0.0014171345,0.99339527,0.0018593122,0.000023735172],"about_ca_topic_score_codex":0.00036789334,"about_ca_topic_score_gemma":0.0004354213,"teacher_disagreement_score":0.011510661,"about_ca_system_score_codex":0.0006374582,"about_ca_system_score_gemma":0.00059163535,"threshold_uncertainty_score":0.038507044},"labels":[],"label_agreement":null},{"id":"W2014480034","doi":"10.1007/s12044-008-0031-7","title":"The motive of the moduli stack of G-bundles over the universal curve","year":2008,"lang":"en","type":"article","venue":"Proceedings - Mathematical Sciences","topic":"Advanced Algebra and Geometry","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Stack (abstract data type); Moduli; Pure mathematics; Mathematics; Moduli of algebraic curves; Moduli space; Physics; Computer science","score_opus":0.0513738609889238,"score_gpt":0.30596738560241005,"score_spread":0.2545935246134863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014480034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88445497,0.0013780671,0.024849657,0.0033144574,0.0005071052,0.000103457496,0.00088897,0.00029958368,0.084203616],"genre_scores_gemma":[0.9702593,0.00069870043,0.004980929,0.00033397778,0.0005249127,0.00006010462,0.000551708,0.00012707438,0.022463249],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994248,0.00009708007,0.000026752046,0.00012965339,0.00013874141,0.00018288122],"domain_scores_gemma":[0.99948704,0.00006360958,0.0000984086,0.000024020557,0.000060378054,0.00026644443],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079979055,0.0014463251,0.0009547803,0.0054598805,0.0023697375,0.00430038,0.0010179941,0.0017584297,0.009659368],"category_scores_gemma":[0.0007677184,0.000552495,0.00076266116,0.0016322534,0.0028545056,0.0048882626,0.0029718478,0.0017926831,0.0011428528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012794268,0.000045161476,0.0009059578,0.00008749172,0.00003021128,0.00045266104,0.0005937609,0.0005835112,0.0038603188,0.98659813,0.001294346,0.0054205093],"study_design_scores_gemma":[0.00010739251,0.00022708558,0.0057362835,0.00011018476,0.00005879127,0.0015891432,0.0008432459,0.006252327,0.0027367414,0.9697907,0.012449388,0.00009869544],"about_ca_topic_score_codex":0.0007002682,"about_ca_topic_score_gemma":0.000542094,"teacher_disagreement_score":0.009659368,"about_ca_system_score_codex":0.0013464655,"about_ca_system_score_gemma":0.00081454124,"threshold_uncertainty_score":0.032313824},"labels":[],"label_agreement":null},{"id":"W2014642251","doi":"10.1063/1.2937896","title":"Multi-Hamiltonian structures for r-matrix systems","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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; Concordia University","funders":"","keywords":"Mathematics; Integrable system; Pure mathematics; Poisson manifold; Poisson distribution; Holomorphic function; Hamiltonian system; Poisson bracket; Mathematical analysis; Poisson algebra; Trigonometry; Symplectic geometry; Lie algebra","score_opus":0.07590093288061582,"score_gpt":0.3597718810720462,"score_spread":0.2838709481914304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014642251","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67293453,0.00132135,0.18797134,0.0023813997,0.00028992232,0.000092396476,0.00025805697,0.00041975296,0.13433124],"genre_scores_gemma":[0.965191,0.0002844273,0.021090666,0.00024389246,0.0001254838,0.000067358436,0.00010433274,0.00005923355,0.012833583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994554,0.0001345617,0.000028417993,0.00008787366,0.00019825652,0.00009546249],"domain_scores_gemma":[0.999479,0.0001044273,0.00009913074,0.00008105056,0.00009763855,0.00013889073],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000516528,0.000303302,0.0003539948,0.0013591975,0.0013547487,0.0017952082,0.0006084232,0.000984196,0.007878212],"category_scores_gemma":[0.00090457086,0.00027249916,0.00044832285,0.0004417226,0.0018296605,0.002189669,0.0017087929,0.0008803139,0.0009603681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033043864,0.000009082139,0.0000837443,0.00000985119,0.0000025374736,0.00007037492,0.00016482487,0.00069278345,0.00089885783,0.99671966,0.0002684903,0.0010765848],"study_design_scores_gemma":[0.000012848569,0.00002020982,0.0002682602,0.000011064514,0.0000027359313,0.00013447611,0.00015857008,0.015855543,0.00048089295,0.9806709,0.0023726902,0.000011829592],"about_ca_topic_score_codex":0.0006639435,"about_ca_topic_score_gemma":0.00078876445,"teacher_disagreement_score":0.007878212,"about_ca_system_score_codex":0.0009850303,"about_ca_system_score_gemma":0.00041529204,"threshold_uncertainty_score":0.026355267},"labels":[],"label_agreement":null},{"id":"W2014766934","doi":"10.1007/pl00001371","title":"Quantum unique ergodicity for SL $ _2({\\cal O})\\!\\setminus\\! {\\bf H}^3 $ and estimates for L-functions","year":2001,"lang":"en","type":"article","venue":"Journal of Evolution Equations","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Ergodicity; Mathematics; Quantum; Combinatorics; Mathematical physics; Pure mathematics; Physics; Statistics; Quantum mechanics","score_opus":0.06359580896091555,"score_gpt":0.35436904391936835,"score_spread":0.2907732349584528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014766934","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6404901,0.0049246284,0.22193873,0.009505909,0.0009247669,0.000120209894,0.0007788848,0.00092021935,0.12039653],"genre_scores_gemma":[0.9512315,0.0019104116,0.013622934,0.0007699046,0.0009792842,0.00013897457,0.00048600615,0.00049162394,0.030369444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875104,0.0002894781,0.00008749525,0.00022078985,0.00030460543,0.00034658567],"domain_scores_gemma":[0.9938235,0.002671984,0.0010076746,0.00036584417,0.00080519076,0.0013257766],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030448271,0.0021644589,0.0016985274,0.006897822,0.0039872737,0.0051438333,0.002696783,0.0021926765,0.009703009],"category_scores_gemma":[0.0075358525,0.0011310402,0.002359233,0.0018619879,0.0050436934,0.009076752,0.00605737,0.0039774952,0.0010663478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024195331,0.00002114696,0.00023158187,0.00004185585,0.000017414764,0.00007528364,0.00021161072,0.00077605364,0.0007911694,0.99535865,0.00083338236,0.0016177933],"study_design_scores_gemma":[0.000011854245,0.000024160667,0.00061676395,0.000035365978,0.000026216254,0.00013225217,0.0001218191,0.01792815,0.0008660296,0.97856975,0.0016130231,0.000054645297],"about_ca_topic_score_codex":0.003943496,"about_ca_topic_score_gemma":0.0035962653,"teacher_disagreement_score":0.009703009,"about_ca_system_score_codex":0.0035143844,"about_ca_system_score_gemma":0.0017551073,"threshold_uncertainty_score":0.032459795},"labels":[],"label_agreement":null},{"id":"W2017126073","doi":"10.4153/cmb-2002-029-9","title":"Modular Forms Associated to Theta Functions","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Mathematics; Theta function; Modular form; Modular design; Construct (python library); Congruence (geometry); Congruence subgroup; Pure mathematics; Algebra over a field; Ramanujan theta function; Modular group; Computer science","score_opus":0.03490397166013619,"score_gpt":0.25107727068336627,"score_spread":0.21617329902323007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017126073","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8526822,0.00034574748,0.057097625,0.00095115247,0.00037521374,0.00012422315,0.00010838758,0.00027177992,0.08804378],"genre_scores_gemma":[0.97855455,0.0001772359,0.0067853043,0.00010765238,0.0002624185,0.000047139987,0.00006332499,0.00008368295,0.013918544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994599,0.00009823368,0.000024323957,0.000064373846,0.0001973555,0.00015586846],"domain_scores_gemma":[0.99954164,0.00008799429,0.000060331215,0.00006276553,0.000089309964,0.00015793994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086960563,0.00077610696,0.0005795004,0.0015578817,0.0012098501,0.0022698164,0.0005739169,0.00068362255,0.005147788],"category_scores_gemma":[0.0014829069,0.0003456957,0.0007731458,0.0008980044,0.0028449392,0.0022705789,0.0014022739,0.0014330224,0.0008395971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046030233,0.000038731265,0.000352903,0.000022816845,0.0000054634506,0.0002502784,0.0005523478,0.0006803704,0.006406702,0.9868462,0.0007280666,0.0040701698],"study_design_scores_gemma":[0.000082994084,0.0000864995,0.0005181578,0.000017833541,0.000011036967,0.0003482443,0.00027704876,0.007149033,0.0054221977,0.98095167,0.005110587,0.000024729896],"about_ca_topic_score_codex":0.00034030117,"about_ca_topic_score_gemma":0.00031308917,"teacher_disagreement_score":0.005147788,"about_ca_system_score_codex":0.0010163466,"about_ca_system_score_gemma":0.0005169629,"threshold_uncertainty_score":0.017221034},"labels":[],"label_agreement":null},{"id":"W2018669956","doi":"10.1016/j.jalgebra.2014.06.018","title":"Nonarchimedean superrigidity of solvable S-arithmetic groups","year":2014,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Lethbridge","funders":"University of Chicago","keywords":"Mathematics; Homomorphism; Algebraic group; Modulo; Bounded function; Algebraic number; Field (mathematics); Rank (graph theory); Generalization; Group (periodic table); Arithmetic; Discrete mathematics; Combinatorics; Pure mathematics","score_opus":0.038973487885444684,"score_gpt":0.32064781223153516,"score_spread":0.28167432434609047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018669956","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8695573,0.00044779814,0.039002325,0.0027374842,0.00048790316,0.00005864056,0.00018401504,0.00019672449,0.08732774],"genre_scores_gemma":[0.97840333,0.00017651275,0.0060336506,0.00042143665,0.00035967515,0.000049555358,0.00021641422,0.000055832752,0.014283516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990471,0.0002293006,0.000051633368,0.00016479951,0.00025156836,0.00025555704],"domain_scores_gemma":[0.99884486,0.00024870195,0.00020416577,0.00019645368,0.00018493136,0.00032080934],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011721597,0.00085317745,0.0011784497,0.0020217435,0.0040040356,0.003367211,0.0017854049,0.0019892363,0.007153192],"category_scores_gemma":[0.0025668093,0.0005532,0.001021689,0.0010135734,0.0049756174,0.0050554224,0.0033539138,0.0024749835,0.00073201384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042603777,0.0000138212545,0.00012972993,0.000010715006,0.0000036927656,0.000059671354,0.00016941431,0.00032108254,0.000389218,0.99738985,0.0004145542,0.0010556182],"study_design_scores_gemma":[0.000014056918,0.000010183278,0.00008479112,0.0000033438773,0.0000020061989,0.00003888019,0.00007785629,0.0017408656,0.00012342496,0.9975139,0.00038469594,0.000005974492],"about_ca_topic_score_codex":0.0016955272,"about_ca_topic_score_gemma":0.0021653983,"teacher_disagreement_score":0.007153192,"about_ca_system_score_codex":0.0016620267,"about_ca_system_score_gemma":0.0015133503,"threshold_uncertainty_score":0.023929775},"labels":[],"label_agreement":null},{"id":"W2019007227","doi":"10.4153/cmb-2011-075-1","title":"Admissible Sequences for Twisted Involutions in Weyl Groups","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Partially ordered set; Combinatorics; Involution (esoterism); Weyl group; Pure mathematics; Discrete mathematics","score_opus":0.1057378758770395,"score_gpt":0.30102642897653503,"score_spread":0.19528855309949553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019007227","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.926547,0.0002404678,0.045656092,0.00024862308,0.0001321735,0.000058783287,0.000168648,0.00019327844,0.026754966],"genre_scores_gemma":[0.9829063,0.0001890722,0.0064885975,0.0000630101,0.000090223715,0.000071886396,0.00025564054,0.00004900726,0.0098862145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914086,0.00016128948,0.000073480594,0.00013663902,0.00021796676,0.00026969184],"domain_scores_gemma":[0.9989857,0.00022282654,0.00020999799,0.000106925574,0.00014113194,0.00033344736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000679726,0.0006462289,0.00042850754,0.0022202176,0.0015569096,0.0025719577,0.0005170228,0.0005150194,0.005178821],"category_scores_gemma":[0.0016952213,0.0003064601,0.0006191617,0.0009676892,0.0023666373,0.0026338364,0.0017524884,0.0010780123,0.0007434283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007264278,0.00006226813,0.0010642316,0.00002704274,0.0000075862017,0.00040042464,0.0011455348,0.0013939721,0.0057119094,0.9822076,0.00038474894,0.00752201],"study_design_scores_gemma":[0.00003076238,0.00014383189,0.0012055617,0.000043787088,0.000015952268,0.00038543937,0.0009860321,0.008002459,0.0072362027,0.97521484,0.0066953106,0.00003980059],"about_ca_topic_score_codex":0.0004906478,"about_ca_topic_score_gemma":0.00066289323,"teacher_disagreement_score":0.005178821,"about_ca_system_score_codex":0.0007993108,"about_ca_system_score_gemma":0.0004361955,"threshold_uncertainty_score":0.017324865},"labels":[],"label_agreement":null},{"id":"W2019211305","doi":"10.4153/cmb-2011-014-x","title":"Lie Powers and Pseudo-Idempotents","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Iterated function; Pure mathematics; Projection (relational algebra); Lie group; Factorization; Ring (chemistry); Mathematical analysis; Algorithm","score_opus":0.04502554387895652,"score_gpt":0.2556447035784431,"score_spread":0.21061915969948658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019211305","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6829967,0.0011418416,0.1656867,0.0010715026,0.0004428729,0.000055557735,0.00010054279,0.0003638796,0.14814043],"genre_scores_gemma":[0.9714106,0.0003584053,0.010411953,0.00011613737,0.00019642782,0.000022613069,0.000031213327,0.000061689985,0.017391002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966073,0.000066251334,0.000016362768,0.00006272802,0.00012361525,0.00007042229],"domain_scores_gemma":[0.99961406,0.00006811887,0.000046726687,0.000060562492,0.00010317218,0.00010740586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005680185,0.00035758372,0.00023445325,0.0006864645,0.00065247656,0.001363863,0.00035599375,0.00034388862,0.004437648],"category_scores_gemma":[0.0009975567,0.00018763186,0.00034763553,0.0002678955,0.003124832,0.003006286,0.0013330836,0.0009945703,0.0008071278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018278952,0.000010543121,0.0001547785,0.000012870777,0.0000028010838,0.00019323804,0.000289864,0.00031245817,0.0024914048,0.99287236,0.00027754877,0.0033638102],"study_design_scores_gemma":[0.000011979477,0.0000468074,0.00031395332,0.000015971958,0.000005518719,0.00034997647,0.00016695113,0.0027930262,0.0039347485,0.9818335,0.010514084,0.000013553621],"about_ca_topic_score_codex":0.00035912875,"about_ca_topic_score_gemma":0.00035644099,"teacher_disagreement_score":0.004437648,"about_ca_system_score_codex":0.0004902018,"about_ca_system_score_gemma":0.00034631847,"threshold_uncertainty_score":0.014845431},"labels":[],"label_agreement":null},{"id":"W2020470613","doi":"10.1080/10586458.2011.611747","title":"The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms","year":2012,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Advanced Algebra and Geometry","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":"McGill University","keywords":"Mathematics; Conjecture; Generality; Fourier series; Modular form; Distribution (mathematics); Convergence (economics); Congruence (geometry); Fourier transform; Modular design; Pure mathematics; Limiting; Rate of convergence; Mathematical analysis; Geometry; Key (lock); Computer science","score_opus":0.019780852824910426,"score_gpt":0.310153982683264,"score_spread":0.29037312985835356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020470613","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8889522,0.00037967233,0.09446853,0.000890034,0.00008850279,0.000028335628,0.000095263546,0.0001578955,0.014939597],"genre_scores_gemma":[0.98903006,0.00028368938,0.005890386,0.00007590788,0.00011782974,0.000049618604,0.00011518554,0.00006072862,0.0043765744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991258,0.00022095337,0.000044557873,0.00020727432,0.0002423978,0.00015906012],"domain_scores_gemma":[0.9947221,0.0027726777,0.0005522111,0.000737251,0.00058501726,0.00063069357],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020586543,0.00041666467,0.0007856771,0.0022085193,0.0012251426,0.0023041011,0.0012177861,0.0009055096,0.0065249316],"category_scores_gemma":[0.022053532,0.00051202526,0.00054442335,0.00073938334,0.0044996846,0.0049669235,0.001782266,0.0016348283,0.0006978878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013964633,0.000058244572,0.0050231223,0.00006759015,0.00001810134,0.00016207354,0.0004207542,0.0041850954,0.0095732575,0.967553,0.00070992624,0.012089193],"study_design_scores_gemma":[0.000048035454,0.000071863775,0.0052734218,0.000030911935,0.000013359396,0.0007339352,0.00025991086,0.047478717,0.012346684,0.93212646,0.0015615397,0.0000551658],"about_ca_topic_score_codex":0.0003068103,"about_ca_topic_score_gemma":0.00016141092,"teacher_disagreement_score":0.0065249316,"about_ca_system_score_codex":0.0010139743,"about_ca_system_score_gemma":0.00041231397,"threshold_uncertainty_score":0.021828055},"labels":[],"label_agreement":null},{"id":"W2020604516","doi":"10.1007/s00039-006-0582-7","title":"Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula","year":2006,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","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 de Montréal","funders":"","keywords":"Mathematics; Holomorphic function; Factorization; Combinatorics; Genus; Riemann surface; Pure mathematics","score_opus":0.028853788319486394,"score_gpt":0.253453182682053,"score_spread":0.22459939436256662,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020604516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64423525,0.0029160364,0.24363412,0.003934703,0.0015857012,0.000073887844,0.00016345964,0.00052228477,0.10293461],"genre_scores_gemma":[0.9400666,0.0010675564,0.029186169,0.0007142886,0.0009351881,0.000045431338,0.00013391729,0.00026115295,0.027589815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991966,0.00023154265,0.000056408368,0.00014034013,0.00024038609,0.00013469323],"domain_scores_gemma":[0.9980209,0.0005790493,0.00025577535,0.00024447578,0.00041927295,0.00048056405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025334973,0.0013720863,0.001583308,0.0041432283,0.0020667,0.004323754,0.0020761213,0.0022572405,0.00571724],"category_scores_gemma":[0.0057552075,0.00077159464,0.0016196611,0.0016331807,0.0045797057,0.007399034,0.002369804,0.0032562453,0.0010222651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013371742,0.00002391362,0.00014819072,0.0000201477,0.000004291665,0.00010924627,0.00017318361,0.00045905702,0.0006831107,0.99603915,0.000423124,0.0019032911],"study_design_scores_gemma":[0.0000090000685,0.000012503332,0.0002447589,0.000013931485,0.0000061549986,0.0001915319,0.00006253294,0.010014765,0.00028569894,0.9883612,0.0007786727,0.000019229887],"about_ca_topic_score_codex":0.0019500202,"about_ca_topic_score_gemma":0.00196335,"teacher_disagreement_score":0.00571724,"about_ca_system_score_codex":0.0019240058,"about_ca_system_score_gemma":0.0010310737,"threshold_uncertainty_score":0.019126117},"labels":[],"label_agreement":null},{"id":"W2021000789","doi":"10.1016/j.crma.2004.07.017","title":"Killing tensors as irreducible representations of the general linear group","year":2004,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Algebra and Geometry","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":"Dalhousie University; University of Waterloo","funders":"","keywords":"Mathematics; General linear group; Isomorphism (crystallography); Pure mathematics; Vector bundle; Equivariant map; Irreducible representation; Combinatorics; Symmetric group","score_opus":0.03438783669330484,"score_gpt":0.3362265155026891,"score_spread":0.30183867880938425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021000789","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91854054,0.00051317003,0.04587063,0.00044676414,0.00013785373,0.00003805554,0.00007821898,0.00013325458,0.034241464],"genre_scores_gemma":[0.98298556,0.00038392283,0.0068176836,0.000097450175,0.00015854649,0.000021037948,0.00011607089,0.000041428564,0.009378385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996184,0.00005756672,0.00001627539,0.000069522735,0.000115752126,0.00012244203],"domain_scores_gemma":[0.99971145,0.000020765776,0.00008414415,0.00003889627,0.00004655225,0.00009808464],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003212696,0.0007337833,0.00042954512,0.0015141633,0.00088182965,0.001687096,0.00057269505,0.00053151476,0.0021939916],"category_scores_gemma":[0.00058221625,0.00023803073,0.0005636458,0.0006704352,0.0021187258,0.0019038129,0.0013261839,0.00091527536,0.00035493664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003391811,0.000026309304,0.0004970943,0.000026791138,0.000010656758,0.00017910214,0.00036038473,0.0019251183,0.005597023,0.9859657,0.0003737481,0.0050041387],"study_design_scores_gemma":[0.000023079772,0.00008328842,0.0012491493,0.000018532035,0.000018434945,0.00045506057,0.0002626109,0.01778593,0.0033980133,0.9717691,0.0049032993,0.00003358478],"about_ca_topic_score_codex":0.0010900379,"about_ca_topic_score_gemma":0.00076268264,"teacher_disagreement_score":0.0021939916,"about_ca_system_score_codex":0.0008744802,"about_ca_system_score_gemma":0.00046493154,"threshold_uncertainty_score":0.0073395967},"labels":[],"label_agreement":null},{"id":"W2022854908","doi":"10.4153/cjm-2010-003-5","title":"Branching Rules for Ramified Principal Series Representations of GL(3) over a <i>p</i>-adic Field","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; University of Ottawa","keywords":"Irreducibility; Mathematics; Ramification; Series (stratigraphy); Pure mathematics; Branching (polymer chemistry); Decomposition; Group (periodic table); Field (mathematics); Combinatorics","score_opus":0.0303380482110042,"score_gpt":0.31825967668221977,"score_spread":0.28792162847121555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022854908","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9372312,0.00020653414,0.03374056,0.0002125457,0.000059270846,0.000036066063,0.00006276629,0.00018434021,0.028266713],"genre_scores_gemma":[0.9884757,0.00017022183,0.006198418,0.000056459092,0.00003821113,0.000026570631,0.00007160073,0.00007265943,0.0048901346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997323,0.000035998048,0.000017136264,0.000043264652,0.00008517994,0.00008599264],"domain_scores_gemma":[0.99945813,0.00012996932,0.00009375653,0.00006979537,0.000058453246,0.00018986594],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056015013,0.00040139494,0.00039140062,0.0013645873,0.0012030303,0.0018557459,0.0004951077,0.00052497577,0.0037105987],"category_scores_gemma":[0.0010963534,0.00021403996,0.00069612585,0.0004952047,0.0020211297,0.0019617558,0.0009395213,0.0011487757,0.00044473849],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012319785,0.00009407179,0.0018045799,0.00005393811,0.000012070519,0.0014987969,0.0013712196,0.002087945,0.02435846,0.9571977,0.0005958334,0.010802133],"study_design_scores_gemma":[0.000038663668,0.00008539246,0.0016417851,0.00004140544,0.0000142222525,0.00079881435,0.00041751584,0.0120102,0.010148441,0.97195464,0.0028183197,0.00003063312],"about_ca_topic_score_codex":0.0007175916,"about_ca_topic_score_gemma":0.00077161816,"teacher_disagreement_score":0.0037105987,"about_ca_system_score_codex":0.00073998293,"about_ca_system_score_gemma":0.0003172782,"threshold_uncertainty_score":0.012413204},"labels":[],"label_agreement":null},{"id":"W2024024405","doi":"10.1017/s0024610701002071","title":"THE VERLINDE FORMULA FOR PARABOLIC BUNDLES","year":2001,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Conjugacy class; Riemann surface; Moduli space; Mathematics; Genus; Compact Riemann surface; Boundary (topology); Pure mathematics; Mapping class group; Teichmüller space; Surface (topology); Space (punctuation); Mathematical analysis; Geometry","score_opus":0.034700951801572996,"score_gpt":0.3266819428733162,"score_spread":0.2919809910717432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024024405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.610643,0.0045938725,0.13457455,0.0038788237,0.00063298806,0.000054767126,0.00051829853,0.0004059564,0.24469769],"genre_scores_gemma":[0.97329414,0.0009968516,0.008057513,0.00021866684,0.00041250256,0.000026814254,0.00022983016,0.00005326222,0.016710442],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996111,0.00007629219,0.000021730631,0.0000423867,0.00017630345,0.00007218738],"domain_scores_gemma":[0.99936265,0.00016847257,0.000099820034,0.000063863496,0.0001611271,0.00014415102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006949917,0.00040443157,0.00041509414,0.002576081,0.00113825,0.0025003988,0.00072383176,0.0008011433,0.0036386568],"category_scores_gemma":[0.00308134,0.00028037827,0.00032107637,0.0012405987,0.002402726,0.004022543,0.0013156872,0.0012106547,0.0007111897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001556797,0.0000072505713,0.00024509087,0.000018820761,0.0000036413408,0.00009071798,0.00010855314,0.0006231534,0.00053169444,0.99311215,0.0006229214,0.004620479],"study_design_scores_gemma":[0.000005854167,0.0000107907135,0.00051147805,0.000013120448,0.0000020949358,0.00012536507,0.000045260258,0.005376378,0.00031928028,0.99069023,0.0028896169,0.000010454141],"about_ca_topic_score_codex":0.001298285,"about_ca_topic_score_gemma":0.0008958427,"teacher_disagreement_score":0.0036386568,"about_ca_system_score_codex":0.0015344634,"about_ca_system_score_gemma":0.0005559053,"threshold_uncertainty_score":0.01217252},"labels":[],"label_agreement":null},{"id":"W2024552586","doi":"10.1007/s00208-006-0773-4","title":"Toward equivariant Iwasawa theory, III","year":2006,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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; Iwasawa theory; Equivariant map; Pure mathematics; Conjecture; Invariant (physics); Order (exchange); Congruence relation; Discrete mathematics","score_opus":0.03889739986227717,"score_gpt":0.2905815347303795,"score_spread":0.2516841348681023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024552586","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11783087,0.018592661,0.3240336,0.016830865,0.0038716453,0.000056595098,0.00024497337,0.0005521776,0.51798666],"genre_scores_gemma":[0.73362225,0.011971291,0.05721304,0.0022356147,0.0040492173,0.00013828058,0.00030982643,0.00039531302,0.19006528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960417,0.00011536662,0.000016600354,0.00005839898,0.00013924022,0.00006629764],"domain_scores_gemma":[0.9997726,0.00005035309,0.000023051016,0.0000543317,0.000057681675,0.000041984964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009231881,0.0007019453,0.00062634965,0.0013137446,0.00092724885,0.0027726265,0.0009753369,0.0008252076,0.0045977333],"category_scores_gemma":[0.001156404,0.00042744784,0.0007567951,0.00080247695,0.0029656952,0.0042444095,0.0021581776,0.003016769,0.0016029082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003832405,0.0000043447635,0.00004459594,0.000012642181,0.0000025314812,0.0000133879075,0.000081291924,0.0002733975,0.00027407127,0.99617684,0.0011538728,0.0019590606],"study_design_scores_gemma":[0.0000022761549,0.0000053891667,0.000072641305,0.000011272615,0.0000015991125,0.000024005441,0.000054515618,0.0014220469,0.00021528982,0.9895437,0.008643257,0.000003936547],"about_ca_topic_score_codex":0.0006297619,"about_ca_topic_score_gemma":0.0004702756,"teacher_disagreement_score":0.0045977333,"about_ca_system_score_codex":0.0012761926,"about_ca_system_score_gemma":0.0006365718,"threshold_uncertainty_score":0.015380919},"labels":[],"label_agreement":null},{"id":"W2027533780","doi":"10.1016/j.jalgebra.2006.07.031","title":"A Chevalley formula in equivariant K-theory","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Equivariant map; Flag (linear algebra); Variety (cybernetics); Pure mathematics; Line bundle; Sheaf; Generalized flag variety; Algebra over a field; Lie group; Statistics","score_opus":0.019305685758793555,"score_gpt":0.300514577514133,"score_spread":0.2812088917553395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027533780","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5153981,0.00302229,0.15068094,0.00951517,0.002161077,0.000110368324,0.00050102035,0.00068502297,0.31792608],"genre_scores_gemma":[0.9631926,0.0008113814,0.009408936,0.0006914012,0.000890965,0.000058362657,0.00017215032,0.00017643487,0.024597738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902785,0.00022748836,0.000061836006,0.00020392546,0.0002887782,0.00019009139],"domain_scores_gemma":[0.99873406,0.00057881745,0.00009559933,0.00015188174,0.00022350521,0.00021611755],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018347531,0.0014221023,0.002078282,0.0033194623,0.0047459365,0.0065348083,0.0019978038,0.0026878333,0.008387771],"category_scores_gemma":[0.0037230174,0.0009662644,0.0012631947,0.0030934585,0.006813515,0.013369502,0.004493435,0.007257537,0.0011356783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018494076,0.00001262822,0.000094814226,0.000013435865,0.000005063198,0.000055441844,0.00013546534,0.00012131493,0.00018723155,0.9975395,0.00043288467,0.0013838458],"study_design_scores_gemma":[0.000009429854,0.0000069425296,0.00009236424,0.0000053122812,0.000006790592,0.00007749248,0.000042757674,0.0007741769,0.00013793635,0.9980769,0.00076259027,0.000007363031],"about_ca_topic_score_codex":0.001276229,"about_ca_topic_score_gemma":0.0009808182,"teacher_disagreement_score":0.008387771,"about_ca_system_score_codex":0.0024953897,"about_ca_system_score_gemma":0.0010414792,"threshold_uncertainty_score":0.0280599},"labels":[],"label_agreement":null},{"id":"W2027990135","doi":"10.4153/cjm-2013-026-2","title":"Motion in a Symmetric Potential on the Hyperbolic Plane","year":2013,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Minkowski space; Hyperbolic geometry; Action (physics); Motion (physics); Plane (geometry); Ultraparallel theorem; Mathematical analysis; Pendulum; Hyperbolic triangle; Symmetry (geometry); Classical mechanics; Geometry; Physics; Differential geometry; Quantum mechanics","score_opus":0.026194595514589827,"score_gpt":0.23941752530466812,"score_spread":0.21322292979007829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027990135","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93861836,0.00034657907,0.0370156,0.00096267223,0.00007994686,0.00005183082,0.00010602032,0.000049663722,0.022769284],"genre_scores_gemma":[0.99127823,0.00023905559,0.0034187697,0.00006397762,0.000040490297,0.000023326424,0.000042539217,0.00002301411,0.004870418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998259,0.000070450995,0.000007661613,0.000023282197,0.000036136113,0.000036696634],"domain_scores_gemma":[0.99984825,0.000038201593,0.000035698482,0.0000132455625,0.000019014491,0.000045440072],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004362768,0.00042930854,0.00047276833,0.0004587231,0.0007403976,0.0014661094,0.0005600308,0.00078933546,0.0028100116],"category_scores_gemma":[0.0004649748,0.00020370298,0.00042841586,0.00030400607,0.0020879682,0.0012245033,0.0012690882,0.0004802473,0.00033145616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012883918,0.000043610326,0.0006769044,0.000051324107,0.000037080958,0.0006447073,0.0004164151,0.037667412,0.010447436,0.94723606,0.00048469412,0.0021655858],"study_design_scores_gemma":[0.0002612313,0.0003683987,0.0018125266,0.000050758186,0.000041005977,0.00053106254,0.0011214389,0.34044898,0.004124357,0.64652884,0.0046253777,0.000086101165],"about_ca_topic_score_codex":0.0024298676,"about_ca_topic_score_gemma":0.0009176653,"teacher_disagreement_score":0.0028100116,"about_ca_system_score_codex":0.0007048639,"about_ca_system_score_gemma":0.00049769523,"threshold_uncertainty_score":0.009400368},"labels":[],"label_agreement":null},{"id":"W2028023000","doi":"10.1142/9789812701855_0025","title":"SPIN-PARITY MEASUREMENTS OF Θ<sup>+</sup> - SOME CONSIDERATIONS","year":2005,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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 Saskatchewan","funders":"","keywords":"Parity (physics); Spin (aerodynamics); Physics; Computer science; Quantum mechanics","score_opus":0.09222850590244501,"score_gpt":0.34577509975658316,"score_spread":0.25354659385413814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028023000","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24696977,0.0061520375,0.1592907,0.049188223,0.002421766,0.00011927366,0.0007995659,0.0007295637,0.5343292],"genre_scores_gemma":[0.97030556,0.0012094374,0.01137496,0.0017238164,0.0010173413,0.000094745956,0.00017748932,0.00021190749,0.013884702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892956,0.00033496835,0.00005658605,0.00016824355,0.00033486774,0.00017579387],"domain_scores_gemma":[0.9981396,0.00081594917,0.00018705103,0.00049140875,0.00020627366,0.00015968883],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00237896,0.0013396102,0.0010493122,0.0013939159,0.003070533,0.0037443568,0.002831719,0.0029706513,0.014539009],"category_scores_gemma":[0.005172936,0.00074917474,0.0007029303,0.0013707732,0.005110981,0.010457182,0.0025782958,0.0037326103,0.0012951412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043325374,0.00001780931,0.00016865175,0.00003821628,0.0000034862799,0.00005550195,0.000093692914,0.00027992352,0.0012304883,0.993771,0.00095722656,0.003340622],"study_design_scores_gemma":[0.000017745551,0.000030331552,0.00047946384,0.000035131936,0.0000051167026,0.0001168735,0.00016344876,0.0032885852,0.0022297467,0.9899413,0.003669637,0.000022696862],"about_ca_topic_score_codex":0.0008153182,"about_ca_topic_score_gemma":0.0007512119,"teacher_disagreement_score":0.014539009,"about_ca_system_score_codex":0.0009958702,"about_ca_system_score_gemma":0.00047964096,"threshold_uncertainty_score":0.048637807},"labels":[],"label_agreement":null},{"id":"W2028286748","doi":"10.4153/cjm-2001-006-1","title":"A Truncated Integral of the Poisson Summation Formula","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Poisson summation formula; Poisson distribution; Truncation (statistics); Pure mathematics; Action (physics); Series (stratigraphy); Algebraic number; Space (punctuation); Rational function; Poisson kernel; Mathematical analysis","score_opus":0.03642917431136895,"score_gpt":0.27929054070245185,"score_spread":0.2428613663910829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028286748","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61651504,0.001604932,0.2855393,0.0013496567,0.00047804764,0.000051060066,0.00019252987,0.00049646886,0.09377294],"genre_scores_gemma":[0.96895325,0.00062349794,0.013709101,0.00017623772,0.00035629325,0.00003493301,0.00014735032,0.00018800366,0.015811218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991585,0.00013952513,0.00004287657,0.00009715459,0.00040400514,0.00015794672],"domain_scores_gemma":[0.99892455,0.00026105545,0.00013497953,0.000109247434,0.0003048034,0.0002652421],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013425517,0.0007002331,0.0011007594,0.0026849639,0.0010032257,0.0024887684,0.0014410972,0.000741836,0.006027163],"category_scores_gemma":[0.0044744676,0.0003156887,0.0010345244,0.0010974657,0.0025122794,0.0043322835,0.0017185318,0.001515922,0.00079291186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028921431,0.000018839035,0.00035731224,0.000035036774,0.000011808488,0.00024067235,0.0001319747,0.002007419,0.002113215,0.9915125,0.0006204406,0.002921903],"study_design_scores_gemma":[0.0000124505505,0.00002405823,0.00061741803,0.000032703,0.000017671853,0.0005624414,0.000094195115,0.052662387,0.0014558849,0.94275475,0.0017429654,0.000023047078],"about_ca_topic_score_codex":0.0013111739,"about_ca_topic_score_gemma":0.000815795,"teacher_disagreement_score":0.006027163,"about_ca_system_score_codex":0.001803278,"about_ca_system_score_gemma":0.00078481814,"threshold_uncertainty_score":0.02016288},"labels":[],"label_agreement":null},{"id":"W2029916622","doi":"10.1007/s002080200321","title":"Higher relative class number formulae","year":2002,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Mathematics; Class (philosophy); Combinatorics; Pure mathematics; Epistemology","score_opus":0.08246849276029067,"score_gpt":0.32399086640952796,"score_spread":0.2415223736492373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029916622","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17255886,0.0026424064,0.2541552,0.0065937173,0.001646876,0.000074574156,0.0006729986,0.000769815,0.5608855],"genre_scores_gemma":[0.8603907,0.001162018,0.042437408,0.0010648492,0.0012804661,0.00009790078,0.0004571481,0.0003358682,0.09277358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988393,0.00025633443,0.00005566146,0.00024179205,0.00042631544,0.00018068538],"domain_scores_gemma":[0.9987154,0.000563654,0.00013198766,0.00022424552,0.0001987177,0.00016595126],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016262153,0.00075347844,0.00086783705,0.0028264406,0.0025057136,0.004452193,0.0013042134,0.0014539714,0.013248375],"category_scores_gemma":[0.003001793,0.00049339357,0.00092480046,0.0025284512,0.0034868042,0.011409531,0.002617919,0.0049443766,0.0017506542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046524697,0.000004057275,0.000024908708,0.0000060503576,0.0000012894467,0.000009076497,0.000049507882,0.00005846721,0.00011005855,0.9981565,0.000466057,0.001109402],"study_design_scores_gemma":[0.0000054094253,0.0000043494233,0.00009319061,0.0000046459836,0.000005061863,0.00004902097,0.000018627603,0.0006015232,0.00024910434,0.9928155,0.006147869,0.00000566918],"about_ca_topic_score_codex":0.00063845015,"about_ca_topic_score_gemma":0.0007775816,"teacher_disagreement_score":0.013248375,"about_ca_system_score_codex":0.003076598,"about_ca_system_score_gemma":0.0005832902,"threshold_uncertainty_score":0.044320285},"labels":[],"label_agreement":null},{"id":"W2030853586","doi":"10.1016/j.jalgebra.2011.08.004","title":"Cohomology of toroidal orbifold quotients","year":2011,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"","keywords":"Orbifold; Holonomy; Mathematics; Prime (order theory); Cohomology; Quotient; Group (periodic table); Torus; Order (exchange); Cyclic group; Discrete group; Pure mathematics; Space (punctuation); Combinatorics; Physics; Geometry; Computer science","score_opus":0.06262655566209359,"score_gpt":0.3279099704951428,"score_spread":0.26528341483304924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030853586","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.882982,0.0012127918,0.017287258,0.0022878847,0.0005145834,0.000060199487,0.0003259982,0.0002724412,0.09505679],"genre_scores_gemma":[0.9810681,0.00050435035,0.0024190054,0.0001563691,0.00045101024,0.000024606094,0.00026047367,0.000085945976,0.015030171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994179,0.00010217628,0.000031092244,0.00009992281,0.00018345099,0.00016539343],"domain_scores_gemma":[0.99939156,0.00007818755,0.00010014101,0.000055991743,0.00009561411,0.0002783701],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074331317,0.001117864,0.0012406807,0.00419076,0.002193262,0.0036543459,0.0009699732,0.0009132295,0.010754646],"category_scores_gemma":[0.0011857802,0.0004396434,0.00066061685,0.001692322,0.0025245596,0.0047999592,0.0030521092,0.0018938674,0.0010376915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000119924276,0.000052555224,0.0008108913,0.00004597148,0.000019602938,0.0002936029,0.00065354945,0.00067709706,0.0029001245,0.98717344,0.0013406792,0.005912438],"study_design_scores_gemma":[0.000054490385,0.00004620378,0.001960458,0.000021025795,0.00002305271,0.00041219287,0.0005302725,0.005371289,0.0013188857,0.9854467,0.0047869436,0.000028560113],"about_ca_topic_score_codex":0.0020583675,"about_ca_topic_score_gemma":0.0017517295,"teacher_disagreement_score":0.010754646,"about_ca_system_score_codex":0.0016651121,"about_ca_system_score_gemma":0.00056196464,"threshold_uncertainty_score":0.0359779},"labels":[],"label_agreement":null},{"id":"W2030937031","doi":"10.1007/s002080000112","title":"Hecke theory of series formed with modular symbols and relations among convolution L -functions","year":2000,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Mathematics; Convolution (computer science); Series (stratigraphy); Modular form; Pure mathematics; Algebra over a field; Eisenstein series; Hecke operator; Arithmetic","score_opus":0.019332338039068232,"score_gpt":0.24770447017271335,"score_spread":0.22837213213364513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030937031","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4276602,0.010720229,0.27990106,0.004758162,0.0014011761,0.00008151795,0.00038972314,0.0005012943,0.27458668],"genre_scores_gemma":[0.9205666,0.002658432,0.024259672,0.00071603624,0.0015631998,0.00007791287,0.0001832926,0.000119576216,0.049855277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912196,0.00029249495,0.000049662358,0.00016490636,0.000201904,0.00016913994],"domain_scores_gemma":[0.99848,0.0006260928,0.00025277623,0.00018842384,0.00020788882,0.00024469045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020237956,0.0009931183,0.0012047448,0.003251961,0.0026404297,0.0050397324,0.0014586117,0.0019412274,0.007233592],"category_scores_gemma":[0.004422947,0.0008012624,0.0011237727,0.0032378894,0.006011622,0.00922604,0.0020578846,0.0033866146,0.0014585598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007493936,0.0000078138555,0.000037902613,0.000009644389,0.0000024573721,0.000026152991,0.00013615961,0.00019647412,0.00017121226,0.9981317,0.00023980264,0.0010331849],"study_design_scores_gemma":[0.000006676689,0.000007692271,0.0000687348,0.000005884554,0.0000034020695,0.000056667486,0.000035518908,0.0011158149,0.00017186103,0.9973494,0.0011705413,0.000007753342],"about_ca_topic_score_codex":0.00069522084,"about_ca_topic_score_gemma":0.00057225197,"teacher_disagreement_score":0.007233592,"about_ca_system_score_codex":0.0018282084,"about_ca_system_score_gemma":0.0009882593,"threshold_uncertainty_score":0.02419877},"labels":[],"label_agreement":null},{"id":"W2031397968","doi":"10.1016/j.jalgebra.2002.08.001","title":"Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monoid; Mathematics; Idempotence; Section (typography); Lattice (music); Algebraic number; Combinatorics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.022854086016726845,"score_gpt":0.2970602622270484,"score_spread":0.27420617621032156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031397968","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77877253,0.001994805,0.10222069,0.0008739551,0.00035685024,0.00007748541,0.00042387765,0.00019216602,0.1150876],"genre_scores_gemma":[0.95632255,0.00066424673,0.018459765,0.00024659303,0.00027497506,0.00007072646,0.00032768838,0.0000573355,0.023576051],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999044,0.00024871476,0.00008135968,0.00017058071,0.0002591389,0.00019615397],"domain_scores_gemma":[0.9981787,0.00056627754,0.0003412405,0.00018972183,0.0003185228,0.00040553775],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017520398,0.0006151924,0.00072650344,0.0023423734,0.0025451463,0.0044168914,0.00073041045,0.0007578784,0.003974272],"category_scores_gemma":[0.0021151055,0.00064531487,0.00079534063,0.001190449,0.0040287185,0.0062158876,0.0019876296,0.0019719717,0.00056482246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024124865,0.000011345541,0.0001458973,0.000009209365,0.0000034916227,0.000036392634,0.00011550113,0.00017791642,0.0004568265,0.99742424,0.00015011155,0.0014450005],"study_design_scores_gemma":[0.00001566467,0.000022454487,0.00032103536,0.000008078121,0.000007641605,0.00012547158,0.00012612854,0.0013569889,0.0010322847,0.99409854,0.0028671522,0.000018625477],"about_ca_topic_score_codex":0.0011199793,"about_ca_topic_score_gemma":0.0010641133,"teacher_disagreement_score":0.0044168914,"about_ca_system_score_codex":0.0013837342,"about_ca_system_score_gemma":0.0008202872,"threshold_uncertainty_score":0.013295233},"labels":[],"label_agreement":null},{"id":"W2031889345","doi":"10.1016/j.aim.2007.03.006","title":"Noncommutative geometry and motives: The thermodynamics of endomotives","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":65,"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; National Science Foundation","keywords":"Mathematics; Noncommutative geometry; Pure mathematics; Endomorphism; Noncommutative algebraic geometry; Multiplicative function; Étale cohomology; Group (periodic table); Cyclic homology; Algebra over a field; Cohomology; Group cohomology; Noncommutative quantum field theory; Mathematical analysis","score_opus":0.01620715144372534,"score_gpt":0.33068343397602407,"score_spread":0.3144762825322987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031889345","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41064292,0.024027709,0.2005684,0.025899328,0.0026806865,0.000068586996,0.00044387337,0.00024659725,0.3354219],"genre_scores_gemma":[0.96558815,0.0035653564,0.006158653,0.001021727,0.0015729327,0.000052668052,0.000092042894,0.00009038305,0.021858104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992489,0.00025009504,0.000026949898,0.00010022378,0.00028201306,0.00009187207],"domain_scores_gemma":[0.9983531,0.000715713,0.00015647705,0.00032282228,0.00023590944,0.0002159243],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016057388,0.00041623137,0.0007766063,0.0010479784,0.001499897,0.0032040805,0.0010777911,0.0019037023,0.00616464],"category_scores_gemma":[0.004237863,0.000539637,0.0004608815,0.000681563,0.005198595,0.0081816465,0.001931302,0.0018594824,0.0004836886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003830142,0.000005656676,0.00007676285,0.000009371181,0.0000019180748,0.000012547861,0.00006222074,0.0003018684,0.0001655957,0.9981858,0.00043738697,0.00073695777],"study_design_scores_gemma":[0.0000023498128,0.0000034086925,0.00013558015,0.0000047295684,8.791376e-7,0.00002330294,0.000031058957,0.0010561954,0.0000612526,0.99761885,0.0010577482,0.0000045287698],"about_ca_topic_score_codex":0.0005956738,"about_ca_topic_score_gemma":0.00089005206,"teacher_disagreement_score":0.00616464,"about_ca_system_score_codex":0.0010941895,"about_ca_system_score_gemma":0.00092676526,"threshold_uncertainty_score":0.02062279},"labels":[],"label_agreement":null},{"id":"W2031940361","doi":"10.1142/s1793042114500134","title":"Binary theta series and modular forms with complex multiplication","year":2013,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Modular form; Eisenstein series; Discriminant; Binary number; Series (stratigraphy); Character (mathematics); Galois module; Binary quadratic form; Integer (computer science); Space (punctuation); Pure mathematics; Theta function; Multiplication (music); Interpretation (philosophy); Quadratic equation; Combinatorics; Algebra over a field; Arithmetic; Quadratic function; Geometry","score_opus":0.02016997157291185,"score_gpt":0.3023030445695565,"score_spread":0.28213307299664464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031940361","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8407251,0.0027730248,0.051314414,0.0016027654,0.0005396418,0.000034139965,0.00015118984,0.00013688022,0.1027229],"genre_scores_gemma":[0.97835666,0.0009891741,0.004248893,0.00012225374,0.0004792521,0.000020899697,0.000086321874,0.000026665455,0.015669938],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997205,0.000051824554,0.000011808585,0.000051280804,0.00010167272,0.00006285777],"domain_scores_gemma":[0.9997011,0.00005969555,0.000065597254,0.000026756532,0.00004403622,0.000102847625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004516672,0.0006517174,0.00041133253,0.0019337559,0.0007651741,0.00226432,0.0004253693,0.00033741182,0.0055675483],"category_scores_gemma":[0.0010159251,0.00019105604,0.00031757567,0.0011427967,0.0023611428,0.0021161262,0.0019783108,0.0012943094,0.0005334548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024816829,0.000010689079,0.00026159268,0.000020273787,0.0000021800097,0.00007228459,0.00018667322,0.00051417254,0.0009465846,0.9928306,0.00035382874,0.004776308],"study_design_scores_gemma":[0.000019428935,0.000047855865,0.00096078636,0.000021831544,0.000005677496,0.00038951094,0.00022725573,0.005978342,0.0010487139,0.9841419,0.0071436292,0.0000151219365],"about_ca_topic_score_codex":0.0004299505,"about_ca_topic_score_gemma":0.00020741603,"teacher_disagreement_score":0.0055675483,"about_ca_system_score_codex":0.0007399406,"about_ca_system_score_gemma":0.00030380124,"threshold_uncertainty_score":0.018625319},"labels":[],"label_agreement":null},{"id":"W2033431248","doi":"10.4153/cmb-2002-025-x","title":"Globalization of Distinguished Supercuspidal Representations of GL(<i>n</i>)","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"University of Toronto","funders":"","keywords":"Mathematics; Representation (politics); Irreducible representation; Zero (linguistics); Pure mathematics; Field (mathematics); Component (thermodynamics); Automorphic form; Linguistics","score_opus":0.030703878201063572,"score_gpt":0.27835860228561937,"score_spread":0.2476547240845558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033431248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95139194,0.000116000265,0.023303477,0.00016782983,0.000057421505,0.00001958412,0.00003520939,0.0000957819,0.024812741],"genre_scores_gemma":[0.99197114,0.000059106947,0.0033554712,0.000036285324,0.000025634725,0.0000070405395,0.000038669536,0.000026278347,0.004480326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995956,0.0000600769,0.000020614523,0.00009830194,0.00010106966,0.00012436487],"domain_scores_gemma":[0.9995177,0.000060190123,0.00010309781,0.00011008773,0.00005830412,0.00015070617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039750405,0.00021240946,0.0003051202,0.00078363623,0.0011021266,0.0016182,0.00033096864,0.0002398718,0.003674118],"category_scores_gemma":[0.00066424685,0.00022023037,0.0005022728,0.00038837496,0.0022591087,0.0017175162,0.0021090664,0.00070186367,0.0003129307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000918449,0.000043803437,0.0039534974,0.000038446433,0.000022224092,0.00085808174,0.003332872,0.0016265883,0.019042438,0.9536717,0.00094901223,0.016369563],"study_design_scores_gemma":[0.000041854502,0.00017850829,0.009828692,0.000035770638,0.000047863385,0.0011681962,0.0025142825,0.011485176,0.013557459,0.9347509,0.0263379,0.00005327217],"about_ca_topic_score_codex":0.0006091848,"about_ca_topic_score_gemma":0.0006853163,"teacher_disagreement_score":0.003674118,"about_ca_system_score_codex":0.0007561705,"about_ca_system_score_gemma":0.0002881072,"threshold_uncertainty_score":0.012291133},"labels":[],"label_agreement":null},{"id":"W2033679818","doi":"10.4153/cmb-2014-048-0","title":"The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Equivariant cohomology; Pure mathematics; Cartan matrix; Maximal torus; Flag (linear algebra); Polynomial ring; Variety (cybernetics); Equivariant map; Cohomology; Ideal (ethics); Cohomology ring; Algebra over a field; Lie algebra; Fundamental representation; Polynomial; Mathematical analysis","score_opus":0.028461250203103583,"score_gpt":0.278073965528724,"score_spread":0.2496127153256204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033679818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93815774,0.00039113133,0.01625164,0.00025979607,0.00006741153,0.000028166178,0.0001504584,0.00017271377,0.044520896],"genre_scores_gemma":[0.992493,0.00014512711,0.001379152,0.00003323794,0.00008141638,0.000013055324,0.00008574291,0.000018771056,0.005750556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994061,0.00008994966,0.000028778111,0.00012166011,0.00019267507,0.00016076757],"domain_scores_gemma":[0.99941754,0.00007162315,0.00012811618,0.00005697974,0.000084536245,0.00024120127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047381365,0.00040285967,0.00047148456,0.0022923541,0.0013451857,0.0021350759,0.0005897844,0.00029886034,0.006632204],"category_scores_gemma":[0.0009294992,0.00037011746,0.00038904545,0.0008560642,0.0021822024,0.0029689542,0.0028060207,0.0009407654,0.0005772361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012511355,0.000042199517,0.0039987853,0.00005194844,0.00003081579,0.00076125166,0.0011594758,0.0014433858,0.0060052737,0.9753822,0.00073192734,0.010267601],"study_design_scores_gemma":[0.00005193095,0.00022635571,0.018318612,0.000033376837,0.00005121504,0.0014461236,0.001675098,0.006912702,0.0086311065,0.9497828,0.012799073,0.00007167421],"about_ca_topic_score_codex":0.0007436182,"about_ca_topic_score_gemma":0.00038299648,"teacher_disagreement_score":0.006632204,"about_ca_system_score_codex":0.0006803024,"about_ca_system_score_gemma":0.00031962382,"threshold_uncertainty_score":0.022186935},"labels":[],"label_agreement":null},{"id":"W2033948088","doi":"10.4153/cjm-2000-052-4","title":"Representations with Weighted Frames and Framed Parabolic Bundles","year":2000,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Variety (cybernetics); Pure mathematics; Moduli space; Holomorphic function; Fundamental group; Riemann surface; Reductive group; Symplectic group; Algebra over a field","score_opus":0.019491843705083042,"score_gpt":0.2756672150463918,"score_spread":0.25617537134130874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033948088","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9221024,0.0004290323,0.04324272,0.0006694983,0.00009754845,0.00004151162,0.0001079731,0.000110376655,0.03319894],"genre_scores_gemma":[0.98884916,0.00015168707,0.005144809,0.000056726523,0.000084268264,0.000017121294,0.00007882332,0.000017321561,0.0056001623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996172,0.000075141674,0.000018311268,0.00007910986,0.00011010646,0.0001000048],"domain_scores_gemma":[0.99975556,0.000025184845,0.0000714848,0.000040409486,0.000035082867,0.00007230296],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003822719,0.00043171836,0.00029723012,0.0013326958,0.0010707766,0.001990526,0.00041426378,0.00063350383,0.0031153252],"category_scores_gemma":[0.0008106499,0.0002590849,0.00044533832,0.0007910395,0.0021141507,0.0027798621,0.0019550426,0.00085114944,0.00026253753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026636491,0.000015272231,0.00040475707,0.0000124221815,0.0000058066894,0.00029688512,0.00048154712,0.0009804253,0.0023234766,0.99133974,0.000277548,0.0038354592],"study_design_scores_gemma":[0.000025337347,0.00007961926,0.0014164165,0.000017958733,0.000011211183,0.0004325212,0.00044166262,0.007995734,0.002127372,0.9815911,0.0058434983,0.000017594457],"about_ca_topic_score_codex":0.0010915108,"about_ca_topic_score_gemma":0.0007902861,"teacher_disagreement_score":0.0031153252,"about_ca_system_score_codex":0.00091580313,"about_ca_system_score_gemma":0.00029585414,"threshold_uncertainty_score":0.0104218125},"labels":[],"label_agreement":null},{"id":"W2034907533","doi":"10.3836/tjm/1327931394","title":"On Stronger Versions of Brumer's Conjecture","year":2011,"lang":"en","type":"article","venue":"Tokyo Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"","keywords":"Annihilator; Mathematics; Ideal (ethics); Conjecture; Character (mathematics); Abelian group; Field (mathematics); Dual (grammatical number); Pure mathematics; Group (periodic table); Element (criminal law); Class (philosophy); Algebra over a field; Combinatorics; Discrete mathematics; Law; Geometry; Philosophy; Epistemology; Physics","score_opus":0.06935217955704431,"score_gpt":0.30148010818913856,"score_spread":0.23212792863209425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034907533","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66035724,0.0032508646,0.108420074,0.031299073,0.0019116186,0.00018910106,0.0010698796,0.00052406586,0.19297801],"genre_scores_gemma":[0.96849245,0.00084922015,0.011945423,0.0037418518,0.002150343,0.000084764804,0.000756815,0.00007311748,0.011906043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9948426,0.001363516,0.00029700904,0.0015369654,0.0011171609,0.0008427829],"domain_scores_gemma":[0.9885845,0.0060862415,0.001304683,0.0018122941,0.0012948065,0.00091744284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0055705323,0.0008962042,0.0018593452,0.002149214,0.0024885386,0.0033204218,0.0019053221,0.0034662455,0.0134086795],"category_scores_gemma":[0.01546815,0.0006315061,0.0016280256,0.0016459965,0.0068761897,0.014084112,0.0049696504,0.0047640135,0.0012157399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031763618,0.0001113996,0.0020458293,0.00014545287,0.00003374041,0.00030983047,0.00053436804,0.0020192256,0.001116068,0.9832201,0.004671682,0.0054747686],"study_design_scores_gemma":[0.00008481947,0.00009119948,0.0010473933,0.000045414105,0.00002651271,0.00031086418,0.000352896,0.011201266,0.00062910205,0.9802949,0.0058712633,0.00004451788],"about_ca_topic_score_codex":0.0011154499,"about_ca_topic_score_gemma":0.0009675642,"teacher_disagreement_score":0.0134086795,"about_ca_system_score_codex":0.0018502823,"about_ca_system_score_gemma":0.000663329,"threshold_uncertainty_score":0.04485655},"labels":[],"label_agreement":null},{"id":"W2035160810","doi":"10.1016/j.laa.2014.01.014","title":"Lie algebras and bilinear forms in characteristic 2","year":2014,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Algebraically closed field; Bilinear form; Lie algebra; Symmetric bilinear form; Bilinear map; Pure mathematics; Vector space; Bilinear interpolation; Algebra over a field; Adjoint representation of a Lie algebra; Killing form; Space (punctuation); Non-associative algebra; Field (mathematics); Lie conformal algebra","score_opus":0.018511339636788752,"score_gpt":0.29197194961461725,"score_spread":0.2734606099778285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035160810","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55364054,0.012309694,0.13950697,0.017313825,0.002608241,0.000115456816,0.00087409833,0.0006619075,0.2729693],"genre_scores_gemma":[0.9370895,0.0028979774,0.008721037,0.0007433166,0.0020205237,0.00006739888,0.00022138984,0.000114479786,0.048124377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992561,0.00022122152,0.000031611416,0.00011792563,0.0002225935,0.00015059116],"domain_scores_gemma":[0.99900395,0.00032350625,0.00021794479,0.00007454152,0.00015424017,0.00022587003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011470185,0.0018595719,0.0014165094,0.0046912623,0.002943417,0.004202539,0.0014343562,0.0017286325,0.0094379345],"category_scores_gemma":[0.0023175627,0.0008303587,0.00080428977,0.004261916,0.0061349976,0.010189587,0.0034455177,0.004112848,0.0013693301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015690306,0.000018625557,0.00008275638,0.000019777419,0.000004338552,0.000040243445,0.00026401674,0.00023855975,0.00022275075,0.9968941,0.0006809997,0.0015180174],"study_design_scores_gemma":[0.000008822339,0.000009895186,0.000091731825,0.0000063639654,0.00000392135,0.00006785059,0.000089641646,0.00070729014,0.000084743624,0.9969969,0.001924865,0.000008030334],"about_ca_topic_score_codex":0.0016314796,"about_ca_topic_score_gemma":0.0013474257,"teacher_disagreement_score":0.0094379345,"about_ca_system_score_codex":0.0022392182,"about_ca_system_score_gemma":0.0011967877,"threshold_uncertainty_score":0.031573057},"labels":[],"label_agreement":null},{"id":"W2036077645","doi":"10.4153/cmb-2000-014-5","title":"Complementary Series for Hermitian Quaternionic Groups","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Hermitian matrix; Pure mathematics; Series (stratigraphy); Quaternionic representation; Quaternion; Group (periodic table); Algebra over a field; Geometry; Irreducible representation","score_opus":0.02801447139025127,"score_gpt":0.282756108504624,"score_spread":0.25474163711437275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036077645","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.878683,0.00034693553,0.03322238,0.00038203326,0.0002625302,0.000053659656,0.00013688981,0.00019592447,0.08671674],"genre_scores_gemma":[0.986699,0.0001856437,0.003951094,0.00006989066,0.00013284538,0.000024956076,0.0000901477,0.000043194646,0.0088032745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971265,0.000036250443,0.000010247359,0.000046013854,0.00012423529,0.00007064685],"domain_scores_gemma":[0.9995333,0.00012972041,0.0000753732,0.00003821637,0.000093245566,0.000130118],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035783282,0.0004995243,0.00037414217,0.002501874,0.00096627953,0.0017228788,0.00051308126,0.0004670566,0.00719182],"category_scores_gemma":[0.0013689884,0.00016227388,0.00053487153,0.0007884229,0.0014623802,0.0017786302,0.0009387074,0.00091977406,0.0005463949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040727595,0.000038241902,0.00051813683,0.00002757365,0.00000652076,0.0003233208,0.00019092562,0.001011072,0.0048054988,0.9855812,0.0007584664,0.0066983146],"study_design_scores_gemma":[0.00004177476,0.000077953584,0.001336445,0.000034041244,0.000013045379,0.0006689911,0.00025750988,0.012670953,0.006489975,0.9725457,0.00583758,0.000026071742],"about_ca_topic_score_codex":0.000381989,"about_ca_topic_score_gemma":0.00053067796,"teacher_disagreement_score":0.00719182,"about_ca_system_score_codex":0.0010481138,"about_ca_system_score_gemma":0.0003868839,"threshold_uncertainty_score":0.024058998},"labels":[],"label_agreement":null},{"id":"W2037783318","doi":"10.4153/cmb-2012-039-0","title":"Rationality and the Jordan–Gatti–Viniberghi Decomposition","year":2012,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"","keywords":"Rationality; Conjecture; Decomposition; Pure mathematics; Mathematics; Orbit (dynamics); Algebra over a field; Mathematical economics; Philosophy; Chemistry; Engineering; Epistemology; Organic chemistry","score_opus":0.02962460241830624,"score_gpt":0.3083951983200062,"score_spread":0.2787705959017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037783318","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82150686,0.00038527173,0.027691992,0.0011050744,0.00010067442,0.00002990913,0.00017440226,0.000094262046,0.14891154],"genre_scores_gemma":[0.989321,0.00012416983,0.0031102495,0.00006310379,0.000033318247,0.000008574486,0.00008365293,0.000024807336,0.0072309854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995504,0.00005679189,0.00001458549,0.00007275184,0.0001641262,0.00014144894],"domain_scores_gemma":[0.999671,0.000054402237,0.000059025253,0.00004601589,0.00007864455,0.000090923975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005236626,0.00034299283,0.0004744638,0.00097409525,0.0012505822,0.0020369163,0.00045636226,0.00032215533,0.0044397847],"category_scores_gemma":[0.00089724065,0.00022149789,0.0004093354,0.00048451274,0.00347074,0.0014273484,0.0015371002,0.0011024878,0.00062070205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032814114,0.000007729069,0.00045671844,0.0000093145045,0.0000038040093,0.0000667761,0.0002829832,0.00073200144,0.0013595284,0.99442047,0.0005397443,0.0020882164],"study_design_scores_gemma":[0.00001873792,0.000013264005,0.0009748348,0.0000159459,0.0000049236537,0.00009245213,0.000262129,0.004118091,0.0012017158,0.98940104,0.0038843134,0.000012571432],"about_ca_topic_score_codex":0.0035465423,"about_ca_topic_score_gemma":0.0021737444,"teacher_disagreement_score":0.0044397847,"about_ca_system_score_codex":0.0012058647,"about_ca_system_score_gemma":0.0005572838,"threshold_uncertainty_score":0.014852524},"labels":[],"label_agreement":null},{"id":"W2041082071","doi":"10.1016/j.jnt.2012.05.008","title":"On a generalization of the rank one Rubin–Stark conjecture","year":2012,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":7,"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":"Conjecture; Mathematics; Abelian group; Rank (graph theory); Generalization; Combinatorics; Field (mathematics); Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.024422901520669404,"score_gpt":0.30244760801542037,"score_spread":0.278024706494751,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041082071","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29875928,0.002927011,0.15174285,0.04535772,0.0037961225,0.00011839945,0.0007936313,0.0009091529,0.49559578],"genre_scores_gemma":[0.936199,0.0014226204,0.017546209,0.005755992,0.0028666323,0.00009457171,0.0005185867,0.00019496359,0.035401314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982134,0.00054886023,0.000075931224,0.00040564776,0.00045321346,0.00030291753],"domain_scores_gemma":[0.99437535,0.0028162987,0.00065314886,0.0011161795,0.0005186795,0.00052028743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031147448,0.0008666339,0.0017548851,0.0020935982,0.002779032,0.0033345658,0.00268165,0.003120639,0.01745904],"category_scores_gemma":[0.0125154555,0.00048728706,0.0014284424,0.0015770872,0.0067907325,0.011430769,0.005611965,0.0056097596,0.0020813092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033525346,0.00001530066,0.00013020205,0.00003243035,0.0000056265603,0.000056136032,0.000085972664,0.00048503128,0.00018264975,0.99450254,0.0024559794,0.0020146482],"study_design_scores_gemma":[0.000013878553,0.0000075891844,0.00009579499,0.000009541492,0.000003918282,0.00004926027,0.00003726646,0.0018765383,0.0000515288,0.9963081,0.001538393,0.0000082099195],"about_ca_topic_score_codex":0.0012308687,"about_ca_topic_score_gemma":0.0008473401,"teacher_disagreement_score":0.01745904,"about_ca_system_score_codex":0.0013193192,"about_ca_system_score_gemma":0.0008780818,"threshold_uncertainty_score":0.058406293},"labels":[],"label_agreement":null},{"id":"W2041627037","doi":"10.4153/cjm-2001-043-0","title":"Sur le comportement, par torsion, des facteurs epsilon de paires","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Canadian Historical Association","funders":"","keywords":"Mathematics; Combinatorics","score_opus":0.06562003867642671,"score_gpt":0.28331545534139496,"score_spread":0.21769541666496825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041627037","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52308965,0.002664553,0.19726616,0.002736501,0.0019942585,0.00009818785,0.000662016,0.0008727027,0.27061597],"genre_scores_gemma":[0.8608198,0.0019606613,0.03488938,0.00043034082,0.00074760604,0.00023183778,0.00056735805,0.00057190773,0.09978106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998852,0.0002532926,0.00003800416,0.00027840483,0.0003602826,0.00021792682],"domain_scores_gemma":[0.9991897,0.00035650923,0.0000818129,0.00008267984,0.00015635206,0.0001328561],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012156293,0.0020611482,0.0008925199,0.002381256,0.0028823607,0.003483969,0.001174278,0.0013753256,0.019344335],"category_scores_gemma":[0.0020737494,0.0005940064,0.0012075123,0.0011070452,0.0037465186,0.0045393906,0.0019480101,0.0043154215,0.0035155418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000121969504,0.00002682948,0.0005173217,0.00008665124,0.000026654707,0.000514769,0.00062741485,0.0012284721,0.0036178567,0.97916806,0.0021840283,0.011879912],"study_design_scores_gemma":[0.000111663736,0.00016863085,0.001881616,0.00011412441,0.000045396286,0.0022186548,0.0008055338,0.011357166,0.012184926,0.9242061,0.04679192,0.00011422459],"about_ca_topic_score_codex":0.0021692964,"about_ca_topic_score_gemma":0.0014935234,"teacher_disagreement_score":0.019344335,"about_ca_system_score_codex":0.0019952462,"about_ca_system_score_gemma":0.0006813961,"threshold_uncertainty_score":0.06471324},"labels":[],"label_agreement":null},{"id":"W2042346138","doi":"10.1007/s10240-004-0020-z","title":"Functoriality for the classical groups","year":2004,"lang":"fr","type":"article","venue":"Publications mathématiques de l IHÉS","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":182,"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","score_opus":0.05031269445931777,"score_gpt":0.33890847951913083,"score_spread":0.2885957850598131,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042346138","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36078796,0.005954072,0.3782499,0.008820081,0.0013298322,0.00015755519,0.0004676186,0.00086372567,0.24336925],"genre_scores_gemma":[0.95484585,0.00083604176,0.02673208,0.0007055677,0.0006616884,0.00008476099,0.0002300205,0.0000763816,0.015827738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998626,0.00038978833,0.0000580001,0.00035970332,0.00037235382,0.00019422054],"domain_scores_gemma":[0.99838436,0.0005477653,0.00013610214,0.00032355482,0.00038844877,0.00021969575],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022819357,0.0006532049,0.00042759438,0.0022330934,0.0019346661,0.0022127368,0.00062812574,0.0008928053,0.0066526677],"category_scores_gemma":[0.0027624248,0.00017536526,0.00078713475,0.0008046834,0.0077134264,0.0059462814,0.004038154,0.0028862196,0.00082987576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049823802,0.000006559742,0.00013549876,0.0000185265,0.0000025037812,0.000036862304,0.00033466745,0.00010588956,0.000469131,0.9946543,0.00032015727,0.003910993],"study_design_scores_gemma":[0.0000055192786,0.000023511882,0.0003301475,0.000010585737,0.0000034520124,0.000116725685,0.00009932679,0.0005472438,0.0004901783,0.9897232,0.00864408,0.000006174641],"about_ca_topic_score_codex":0.00044062897,"about_ca_topic_score_gemma":0.00032044915,"teacher_disagreement_score":0.0066526677,"about_ca_system_score_codex":0.00138107,"about_ca_system_score_gemma":0.000669368,"threshold_uncertainty_score":0.022255361},"labels":[],"label_agreement":null},{"id":"W2042419408","doi":"10.1142/s0219887811005932","title":"ON THE ALGEBRAIC CLASSIFICATION OF PSEUDO-RIEMANNIAN SPACES","year":2011,"lang":"en","type":"article","venue":"International Journal of Geometric Methods in Modern Physics","topic":"Advanced Algebra and Geometry","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":"Dalhousie University","funders":"","keywords":"Signature (topology); Algebraic number; Degenerate energy levels; Decomposition; Space (punctuation); Algebra over a field; Type (biology); Real algebraic geometry","score_opus":0.16919352688477704,"score_gpt":0.4265407731812882,"score_spread":0.2573472462965112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042419408","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77476674,0.001222493,0.14223583,0.0016160116,0.0003703853,0.00006469516,0.00031436843,0.00020076569,0.07920882],"genre_scores_gemma":[0.96585345,0.00076393585,0.025138248,0.00022290503,0.00027494767,0.000031083637,0.00031617383,0.000041901152,0.0073573748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949384,0.00008914887,0.000040383497,0.00007143454,0.0002080723,0.000097082055],"domain_scores_gemma":[0.9992648,0.00007237154,0.00014727231,0.00008123328,0.00024325623,0.00019116595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007205417,0.00042059744,0.0003114497,0.002471987,0.00090314,0.0020865977,0.00055016833,0.0004853651,0.0020546957],"category_scores_gemma":[0.0011975704,0.00013084714,0.00035033052,0.0013341842,0.0029661618,0.0028081094,0.0016863203,0.00089644326,0.00041813988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015977554,0.000009229461,0.0004823171,0.000021819533,0.0000021253506,0.00004521393,0.00018708652,0.0008189669,0.00131971,0.9877836,0.00052919885,0.008784807],"study_design_scores_gemma":[0.000007530298,0.000040529594,0.0016408846,0.00002232007,0.00000499115,0.00026452847,0.00020529344,0.012710809,0.001374625,0.97500867,0.008698676,0.00002115722],"about_ca_topic_score_codex":0.0008643376,"about_ca_topic_score_gemma":0.00054121634,"teacher_disagreement_score":0.002471987,"about_ca_system_score_codex":0.0007486463,"about_ca_system_score_gemma":0.00048016608,"threshold_uncertainty_score":0.0068736076},"labels":[],"label_agreement":null},{"id":"W2043268389","doi":"10.1016/j.ejc.2014.10.007","title":"Proof of a conjecture of Kulakova et al. related to the<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">s</mml:mi><mml:mi mathvariant=\"fraktur\">l</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>weight system","year":2014,"lang":"lv","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Diagram; Projection (relational algebra); Combinatorics; Discrete mathematics; Statistics; Algorithm","score_opus":0.012939967528450454,"score_gpt":0.23557764122158176,"score_spread":0.2226376736931313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043268389","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.055396583,0.0049818903,0.26349384,0.20105703,0.033052687,0.00052190566,0.005229899,0.0038067906,0.43245935],"genre_scores_gemma":[0.651387,0.004055518,0.1285717,0.037139826,0.012984411,0.0009763472,0.008306351,0.0023105752,0.15426831],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99587905,0.0010904007,0.00020899146,0.0008563605,0.0013227474,0.00064250623],"domain_scores_gemma":[0.9841487,0.007712679,0.0007933481,0.0028177027,0.0032917315,0.0012358241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037153845,0.001961204,0.0016210343,0.002682465,0.0034498447,0.0034735252,0.002709558,0.002895203,0.04997019],"category_scores_gemma":[0.024692502,0.0010094657,0.0029248495,0.0018111296,0.004536577,0.009749104,0.0076982984,0.0074826805,0.015004645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002694781,0.00019537291,0.0013177419,0.0006149825,0.00013444647,0.00038975416,0.0012457209,0.0014014741,0.0012322797,0.7360571,0.23473522,0.022406368],"study_design_scores_gemma":[0.00018904365,0.000112439164,0.0021286649,0.00021181598,0.00011136696,0.0007087352,0.0003321585,0.0059959176,0.0014796145,0.88963854,0.09901236,0.0000794616],"about_ca_topic_score_codex":0.0028363923,"about_ca_topic_score_gemma":0.0022028533,"teacher_disagreement_score":0.04997019,"about_ca_system_score_codex":0.002634672,"about_ca_system_score_gemma":0.0025730284,"threshold_uncertainty_score":0.16716695},"labels":[],"label_agreement":null},{"id":"W2043272053","doi":"10.1017/s1474748015000109","title":"IMPROPER INTERSECTIONS OF KUDLA–RAPOPORT DIVISORS AND EISENSTEIN SERIES","year":2015,"lang":"en","type":"preprint","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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":"","keywords":"Eisenstein series; Automorphic form; Mathematics; Pure mathematics; Fourier series; Dimension (graph theory); Abelian group; Degenerate energy levels; Unitary state; Shimura variety; Theta function; Algebra over a field; Mathematical analysis; Modular form; Physics; Quantum mechanics","score_opus":0.0533736277522017,"score_gpt":0.3125981207619535,"score_spread":0.2592244930097518,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043272053","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97271913,0.00028928323,0.008501697,0.00022184028,0.000024068264,0.0000093557555,0.00003650661,0.000047651392,0.018150596],"genre_scores_gemma":[0.9962853,0.00014054414,0.0018286989,0.000019426201,0.000029508694,0.000010305701,0.00004571904,0.000012998537,0.0016276245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993405,0.000112619746,0.00003815271,0.00015456209,0.00020041308,0.00015387291],"domain_scores_gemma":[0.99913305,0.00020513743,0.00022713421,0.00012907293,0.00009886779,0.00020673235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068961974,0.0006120163,0.00081836,0.0036038065,0.0022119768,0.0032330698,0.0008075663,0.0010441378,0.0026864428],"category_scores_gemma":[0.0031354527,0.0005001735,0.0006080666,0.0014778352,0.0035287333,0.0037385072,0.0024299868,0.0013497627,0.00029793713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008016767,0.00003482443,0.0034909456,0.000027899876,0.000015885444,0.0009244502,0.0007362959,0.0027405214,0.001590387,0.9852598,0.00044599886,0.0046529295],"study_design_scores_gemma":[0.000034426925,0.000054666696,0.004095497,0.000047546277,0.000039249764,0.001982318,0.00076281757,0.02709299,0.0035770086,0.95840824,0.0038599304,0.000045343284],"about_ca_topic_score_codex":0.000668673,"about_ca_topic_score_gemma":0.00045390922,"teacher_disagreement_score":0.0036038065,"about_ca_system_score_codex":0.0013933523,"about_ca_system_score_gemma":0.00036047748,"threshold_uncertainty_score":0.010109484},"labels":[],"label_agreement":null},{"id":"W2044080589","doi":"10.1139/p06-081","title":"The Darboux coordinate system and Holstein–Primakoff representations on Kähler manifolds","year":2006,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Advanced Algebra and Geometry","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; Symplectic geometry; Lie algebra; Dual (grammatical number); Lie group; Poisson bracket; Pure mathematics; Mathematical physics; Symplectic group; Algebra over a field; Quantum mechanics; Mathematics","score_opus":0.01754473548578438,"score_gpt":0.2620799760346034,"score_spread":0.24453524054881903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044080589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8775651,0.0013683442,0.039777897,0.0015509283,0.00023423388,0.000037290494,0.00013825929,0.00013461495,0.07919339],"genre_scores_gemma":[0.98137474,0.0005113769,0.0064629177,0.00008078335,0.00019205788,0.000024916186,0.0000881789,0.00003103248,0.01123384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998031,0.000057583016,0.000006984806,0.000032983207,0.000066118875,0.000033137443],"domain_scores_gemma":[0.99980265,0.000027409507,0.00005353869,0.000018269955,0.00003343443,0.00006464118],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033030036,0.00047992353,0.0002936283,0.0017927975,0.0009965926,0.0019187917,0.00047789825,0.00061184395,0.0018664703],"category_scores_gemma":[0.00073340855,0.00025837024,0.0001978619,0.00067903154,0.0026814025,0.0017294226,0.00094284595,0.0007155529,0.00033069265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008585864,0.000006870453,0.000154296,0.000008074954,0.0000016757476,0.0000649871,0.00015464619,0.0009169389,0.0008002085,0.995834,0.00044037396,0.0016093232],"study_design_scores_gemma":[0.000010621288,0.000021105234,0.00089778716,0.000010102307,0.0000028791078,0.000163942,0.00011133016,0.011291212,0.00053237093,0.98455644,0.002389862,0.000012288499],"about_ca_topic_score_codex":0.0013239944,"about_ca_topic_score_gemma":0.0009962645,"teacher_disagreement_score":0.0019187917,"about_ca_system_score_codex":0.0010012668,"about_ca_system_score_gemma":0.0005123072,"threshold_uncertainty_score":0.0072647333},"labels":[],"label_agreement":null},{"id":"W2045568819","doi":"10.2140/pjm.2004.214.245","title":"Intersection of conjugacy classes with Bruhat cells in Chevalley groups","year":2004,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Conjugacy class; Combinatorics; Intersection (aeronautics); Algebraic number; Simple (philosophy); Field (mathematics); Pure mathematics; Mathematical analysis; Geography","score_opus":0.02136225665172052,"score_gpt":0.27498887167276376,"score_spread":0.2536266150210432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045568819","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9817392,0.00013178228,0.008748556,0.00014599244,0.000014699714,0.000026754431,0.000059222846,0.000038266982,0.009095492],"genre_scores_gemma":[0.9938181,0.00017216957,0.0030426404,0.00002944637,0.00005621946,0.000059439866,0.00020939759,0.000022558419,0.002589933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868435,0.00023425867,0.00007530804,0.00021932792,0.0003625139,0.0004241508],"domain_scores_gemma":[0.99510986,0.002499091,0.00092257257,0.0003152202,0.0003344451,0.0008188781],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010923424,0.0006382564,0.0009732966,0.0045376606,0.0032963098,0.006642249,0.00095805986,0.0016057089,0.0040558013],"category_scores_gemma":[0.0055319658,0.0008951187,0.0006454631,0.002087716,0.005753115,0.006888036,0.0037831508,0.0022155938,0.00051378825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041988547,0.00010462806,0.014492393,0.000061161205,0.000038566497,0.0007011402,0.0034039249,0.0024555493,0.005578767,0.96569353,0.0004499952,0.006600424],"study_design_scores_gemma":[0.00013133472,0.00021818394,0.012128928,0.00009324997,0.000058546484,0.0013013525,0.004583798,0.019716691,0.017612757,0.93777317,0.006292279,0.000089641275],"about_ca_topic_score_codex":0.0012792174,"about_ca_topic_score_gemma":0.00069095584,"teacher_disagreement_score":0.006642249,"about_ca_system_score_codex":0.0013258316,"about_ca_system_score_gemma":0.00038987547,"threshold_uncertainty_score":0.013567984},"labels":[],"label_agreement":null},{"id":"W2045845378","doi":"10.1007/s00229-004-0447-z","title":"Integral conjugacy classes of compact Lie groups","year":2004,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University; University of Toronto","funders":"","keywords":"Mathematics; Conjugacy class; Dynkin diagram; Pure mathematics; Simple Lie group; Lie algebra; Affine transformation; Lie group; Maximal torus; Affine Lie algebra; Number theory; Algebra over a field; Fundamental representation; Weight; Current algebra","score_opus":0.06283001115734843,"score_gpt":0.31796463873159536,"score_spread":0.25513462757424693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045845378","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.812378,0.00097391254,0.050684784,0.00245589,0.00038917232,0.00006550513,0.00015809812,0.00024421088,0.13265042],"genre_scores_gemma":[0.968333,0.0004839462,0.004343481,0.00021392791,0.00055944466,0.00004588367,0.00017769358,0.000097680095,0.025744988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993088,0.000111681205,0.000027762873,0.00013073377,0.0002334118,0.00018763394],"domain_scores_gemma":[0.99863917,0.0003684301,0.0001930593,0.00015119043,0.0001636496,0.00048438786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011452858,0.0010136183,0.0011970208,0.004218916,0.003251312,0.0045544943,0.001249444,0.00153548,0.009779021],"category_scores_gemma":[0.0032207752,0.00050101354,0.0007579268,0.0020277402,0.005334515,0.0070369635,0.003438651,0.0035050039,0.0008033258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030601415,0.00002389162,0.00021103102,0.000011718876,0.000005368296,0.00005025574,0.0002987081,0.00022677622,0.0003615992,0.9961654,0.0004007691,0.0022140075],"study_design_scores_gemma":[0.000016194144,0.000009199583,0.00023176643,0.0000064865935,0.0000046036553,0.000048014077,0.00010463003,0.0011253777,0.00020685258,0.9970396,0.0012020916,0.000005242089],"about_ca_topic_score_codex":0.0011167725,"about_ca_topic_score_gemma":0.0008200399,"teacher_disagreement_score":0.009779021,"about_ca_system_score_codex":0.00286253,"about_ca_system_score_gemma":0.0005724972,"threshold_uncertainty_score":0.03271401},"labels":[],"label_agreement":null},{"id":"W2045993629","doi":"10.1063/1.3525978","title":"Simple unified proofs of four duality theorems","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematical proof; Symplectic geometry; Duality (order theory); Unitary state; Mathematics; Simple (philosophy); Pure mathematics; Hilbert space; Algebra over a field; Geometry","score_opus":0.12417413825055999,"score_gpt":0.33432500791113384,"score_spread":0.21015086966057384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045993629","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10430073,0.003957304,0.5697168,0.007565789,0.0016893878,0.00024364832,0.0010833757,0.0008866768,0.31055623],"genre_scores_gemma":[0.8084328,0.0023423973,0.15302967,0.0034304203,0.0012189229,0.0005829837,0.0008084307,0.00047493022,0.029679377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975737,0.0007698391,0.00019840592,0.00033244045,0.00074299023,0.00038263956],"domain_scores_gemma":[0.9972698,0.0013287193,0.00028482487,0.0004376742,0.00045406236,0.00022495733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003783586,0.0014237175,0.0008914181,0.0026574337,0.002014509,0.0039915973,0.0019191534,0.0017644261,0.013471261],"category_scores_gemma":[0.0068349517,0.0007322214,0.0017510994,0.0014989375,0.0048526395,0.007563949,0.0060424968,0.0036750345,0.0022557825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008847559,0.000011641727,0.000045864632,0.00003323004,0.0000028912132,0.000050462793,0.0001360876,0.00015167127,0.00019074905,0.99642015,0.00096487545,0.0019834496],"study_design_scores_gemma":[0.000014878508,0.000010318984,0.00007870535,0.0000256078,0.000005351162,0.00009535144,0.000061303916,0.0015422514,0.000657105,0.99190784,0.0055891625,0.000012209908],"about_ca_topic_score_codex":0.00042673518,"about_ca_topic_score_gemma":0.00036710454,"teacher_disagreement_score":0.013471261,"about_ca_system_score_codex":0.0022158162,"about_ca_system_score_gemma":0.0010308645,"threshold_uncertainty_score":0.04506588},"labels":[],"label_agreement":null},{"id":"W2046219024","doi":"10.1134/s1560354707060093","title":"An affine model for the actions in an integrable system with monodromy","year":2007,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Advanced Algebra and Geometry","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":"","keywords":"Monodromy; Affine transformation; Integrable system; Mathematics; Pure mathematics; Affine representation; Action (physics); Monodromy matrix; Algebra over a field; Physics; Affine Lie algebra; Quantum mechanics; Current algebra","score_opus":0.02806763819488683,"score_gpt":0.3057730493572554,"score_spread":0.2777054111623686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046219024","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7846449,0.0006331828,0.12175159,0.0018839594,0.00020442315,0.00013588264,0.00035082598,0.00035125617,0.09004402],"genre_scores_gemma":[0.9831019,0.00020238492,0.0071798232,0.00012054774,0.000115836476,0.000041319432,0.00011011813,0.000034987173,0.009092976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981445,0.000036851474,0.000009312786,0.000032706437,0.00006427262,0.00004250325],"domain_scores_gemma":[0.9998399,0.000014401008,0.000031540483,0.00002407351,0.000027262398,0.00006268286],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002435308,0.0005411792,0.00048705464,0.0008533453,0.00093049376,0.0013585563,0.0007751162,0.0007790843,0.00408759],"category_scores_gemma":[0.00034223276,0.00020607401,0.00052408007,0.00035889534,0.0016687593,0.0013032052,0.0010067237,0.00076747884,0.00057930796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014395856,0.00001528426,0.00020095907,0.00001340322,0.0000038217463,0.00026071595,0.000101153186,0.0042819805,0.0029707758,0.9909196,0.00033880328,0.00087917986],"study_design_scores_gemma":[0.00005472502,0.000119245226,0.00092025474,0.000017099497,0.0000120215145,0.0004352555,0.0002027772,0.07830168,0.0015480202,0.91450477,0.0038542694,0.000029747887],"about_ca_topic_score_codex":0.0018532922,"about_ca_topic_score_gemma":0.0014153119,"teacher_disagreement_score":0.00408759,"about_ca_system_score_codex":0.001000147,"about_ca_system_score_gemma":0.00050579925,"threshold_uncertainty_score":0.013674378},"labels":[],"label_agreement":null},{"id":"W2046331001","doi":"10.1007/s00039-003-0431-x","title":"Singularity of orbits in classical Lie algebras","year":2003,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Mathematics; Lie group; Lie algebra; Measure (data warehouse); Pure mathematics; Singularity; Dimension (graph theory); Simple Lie group; Orbit (dynamics); Adjoint representation; Lie theory; Zero (linguistics); Adjoint representation of a Lie algebra; Type (biology); Algebra over a field; Mathematical analysis; Lie conformal algebra","score_opus":0.03358236968825643,"score_gpt":0.27385012850081014,"score_spread":0.24026775881255372,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046331001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8692184,0.0017475158,0.07739322,0.0017278022,0.00024599998,0.00005862799,0.00023447328,0.0002327875,0.04914118],"genre_scores_gemma":[0.98145676,0.00064532453,0.006770901,0.000118727716,0.0003534654,0.00002294926,0.00015555052,0.000049205002,0.010427161],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995851,0.000090884605,0.000023337025,0.00005803981,0.00016678404,0.00007580481],"domain_scores_gemma":[0.9990711,0.00020585608,0.00016663548,0.00006930169,0.00015125438,0.00033582674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010895365,0.0007399557,0.0010169011,0.0033902053,0.0023488642,0.0026670648,0.0010335014,0.0011505998,0.003342729],"category_scores_gemma":[0.0026425677,0.00042638934,0.00069708313,0.0016553033,0.0044385097,0.0044882097,0.0023335002,0.0016706127,0.00036510587],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027201782,0.000011782996,0.00022663365,0.000019826857,0.000004974045,0.00008991629,0.00032500204,0.00063897046,0.0004358998,0.9967134,0.00031793208,0.00118846],"study_design_scores_gemma":[0.0000074955296,0.000011261859,0.00017065262,0.0000049386426,0.0000037587122,0.00005973242,0.000090830814,0.002578763,0.00009071171,0.9965432,0.00043232864,0.000006218672],"about_ca_topic_score_codex":0.0027145788,"about_ca_topic_score_gemma":0.0020804002,"teacher_disagreement_score":0.0033902053,"about_ca_system_score_codex":0.0015794474,"about_ca_system_score_gemma":0.0009042162,"threshold_uncertainty_score":0.011459768},"labels":[],"label_agreement":null},{"id":"W2046925910","doi":"10.1353/ajm.2014.0020","title":"A proof of the finite field analogue of Jacquet’s conjecture","year":2014,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Conjecture; Isomorphism (crystallography); Combinatorics; Finite field; Field (mathematics); Quotient; Converse; Pure mathematics; Omega; Irreducible representation; Discrete mathematics; Geometry","score_opus":0.013558158442192976,"score_gpt":0.2759088955873261,"score_spread":0.26235073714513313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046925910","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2909078,0.0026443996,0.28067502,0.02755098,0.0042055226,0.0001709703,0.0007806021,0.0011108923,0.39195374],"genre_scores_gemma":[0.94590455,0.0007613777,0.026775097,0.0028838883,0.0016208711,0.000086602944,0.00035621066,0.00009675641,0.021514665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987999,0.00018777032,0.00004233211,0.0002604925,0.00050391414,0.00020548445],"domain_scores_gemma":[0.9979114,0.00079064275,0.00012959688,0.00028754276,0.00061217387,0.0002686629],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001682072,0.0005591236,0.00062966347,0.0013861359,0.001875947,0.0017043184,0.0011247954,0.0012089278,0.009955477],"category_scores_gemma":[0.005642037,0.00030523626,0.00091814983,0.0010201101,0.0036657976,0.0032012032,0.0037957267,0.003256061,0.0011927992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023254277,0.000022122662,0.00031155095,0.000062267354,0.0000073847514,0.00019095557,0.00036831002,0.00045171758,0.0010353589,0.9885799,0.004185495,0.004761604],"study_design_scores_gemma":[0.00003528111,0.00004935425,0.00068271544,0.000033251687,0.000017156477,0.00039633305,0.00018225366,0.006363271,0.0018531928,0.9641022,0.026257616,0.000027466398],"about_ca_topic_score_codex":0.0024008844,"about_ca_topic_score_gemma":0.0014144508,"teacher_disagreement_score":0.009955477,"about_ca_system_score_codex":0.0015018543,"about_ca_system_score_gemma":0.0008826307,"threshold_uncertainty_score":0.033304334},"labels":[],"label_agreement":null},{"id":"W2049387394","doi":"10.1016/j.jmaa.2013.01.070","title":"The smoothness of convolutions of zonal measures on compact symmetric spaces","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Algebra and Geometry","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":"Mathematics; Absolute continuity; Haar measure; Probability measure; Pure mathematics; Locally compact space; Lebesgue measure; Measure (data warehouse); Symmetric space; Convolution (computer science); Standard probability space; Rank (graph theory); Invariant (physics); Locally compact group; Riesz–Markov–Kakutani representation theorem; Lie group; Smoothness; Lebesgue integration; Mathematical analysis; Combinatorics","score_opus":0.028923854279513717,"score_gpt":0.30983258484683196,"score_spread":0.28090873056731824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049387394","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7856834,0.001787068,0.19620736,0.001845554,0.00018280387,0.000030840358,0.00024078206,0.00017934422,0.01384289],"genre_scores_gemma":[0.9760667,0.001051063,0.016043045,0.00013636789,0.00037305662,0.000033467088,0.00017637608,0.00008311323,0.006036798],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985575,0.00045074977,0.000099593904,0.0002550939,0.00040545143,0.0002316087],"domain_scores_gemma":[0.9858619,0.0075420863,0.0021251594,0.0011177921,0.0014267387,0.0019263241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0048196684,0.00091335137,0.0010571842,0.0038272857,0.0016822569,0.004604523,0.0020159474,0.0018635358,0.0028291766],"category_scores_gemma":[0.021652985,0.0010651215,0.0011146113,0.002011188,0.00625516,0.010427147,0.0031787888,0.0029620966,0.00022061412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081456135,0.000015787075,0.00082866295,0.000028650868,0.000012917592,0.00007501371,0.00023314984,0.0021415178,0.0011689436,0.99325126,0.00020528087,0.0019573604],"study_design_scores_gemma":[0.000026886815,0.000046040994,0.0025193472,0.000019324114,0.000020590158,0.00020434143,0.0001940903,0.042125206,0.0006277638,0.95306605,0.0010984491,0.000051976014],"about_ca_topic_score_codex":0.0033448932,"about_ca_topic_score_gemma":0.002285532,"teacher_disagreement_score":0.0048196684,"about_ca_system_score_codex":0.002115158,"about_ca_system_score_gemma":0.001269824,"threshold_uncertainty_score":0.025489092},"labels":[],"label_agreement":null},{"id":"W2049481015","doi":"10.1007/s00041-014-9355-0","title":"Gaussian Cubature Arising from Hybrid Characters of Simple Lie Groups","year":2014,"lang":"en","type":"article","venue":"Journal of Fourier Analysis and Applications","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":35,"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; University of Victoria","funders":"","keywords":"Mathematics; Simple (philosophy); Lie group; Simple Lie group; Gaussian; Homomorphism; Weyl group; Lie algebra; Pure mathematics; Sign (mathematics); Root (linguistics); Lie theory; Order (exchange); Fundamental representation; Mathematical analysis; Physics; Weight; Quantum mechanics","score_opus":0.010540482272743913,"score_gpt":0.2812573883446404,"score_spread":0.2707169060718965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049481015","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74835944,0.00063488114,0.17475975,0.0018607478,0.0008349017,0.000102507925,0.00029583933,0.0006350489,0.072516836],"genre_scores_gemma":[0.96233964,0.00023181866,0.0104250265,0.00043922322,0.00058313506,0.00007295666,0.00016420918,0.00019529989,0.025548628],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921596,0.00019063194,0.000031064657,0.000114987204,0.00025624895,0.0001910611],"domain_scores_gemma":[0.9985246,0.00038523666,0.00022207382,0.00013611502,0.0002492009,0.00048264652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092978793,0.0009996017,0.0015150396,0.0027676274,0.0019832312,0.003763359,0.0014551211,0.0022166767,0.0075127883],"category_scores_gemma":[0.002949222,0.00063626486,0.0009252028,0.0012917983,0.0035925338,0.0038167397,0.002876824,0.002235166,0.0010636101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033028806,0.000017245085,0.00015368428,0.000012267387,0.000007686361,0.00009226938,0.00014418644,0.0008977428,0.0006511655,0.9957243,0.0005187493,0.0017476612],"study_design_scores_gemma":[0.000019430592,0.000026623797,0.00023276331,0.000008638783,0.0000062528165,0.00016853175,0.00010761927,0.018157646,0.00038640783,0.9796428,0.0012197228,0.000023479379],"about_ca_topic_score_codex":0.0012532927,"about_ca_topic_score_gemma":0.0011176745,"teacher_disagreement_score":0.0075127883,"about_ca_system_score_codex":0.0014526712,"about_ca_system_score_gemma":0.0007724208,"threshold_uncertainty_score":0.025132775},"labels":[],"label_agreement":null},{"id":"W2050062132","doi":"10.1142/s1793042107001036","title":"ODD VALUES OF FOURIER COEFFICIENTS OF CERTAIN MODULAR FORMS","year":2007,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto; Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Modular form; Hecke operator; Coprime integers; Conjecture; Eigenvalues and eigenvectors; Pure mathematics; Siegel modular form; Fourier series; Operator (biology); Value (mathematics); Eisenstein series; Cusp form; Combinatorics; Mathematical analysis; Statistics","score_opus":0.019597968610999245,"score_gpt":0.3515327657404728,"score_spread":0.3319347971294736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050062132","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97662693,0.00011003131,0.008340039,0.0001933588,0.00004924444,0.0000093482295,0.000060951363,0.000048163096,0.014561928],"genre_scores_gemma":[0.993971,0.00007475744,0.0023621703,0.000026420093,0.000049306727,0.00001311768,0.00005044554,0.000023667442,0.003429273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972874,0.000053813346,0.000012133172,0.000036706475,0.00006117615,0.0001073809],"domain_scores_gemma":[0.9990012,0.00044381418,0.00020187111,0.00008954141,0.00009317612,0.00017049257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007846764,0.00055413094,0.00034560027,0.0015044134,0.00075699174,0.0013053493,0.00059253426,0.0005080882,0.0057219123],"category_scores_gemma":[0.0033821177,0.00027399714,0.00027094712,0.00054311776,0.0018201935,0.0016022339,0.0008416942,0.00071288337,0.00032831845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005650446,0.00014743778,0.00972904,0.0001353786,0.00003097209,0.0012394793,0.00078949274,0.0062847217,0.023990246,0.9340721,0.0020090789,0.02100704],"study_design_scores_gemma":[0.00014169188,0.00015848382,0.01184408,0.00010021066,0.00005165423,0.0012395302,0.0006752844,0.066715665,0.017230574,0.8958378,0.005903097,0.0001019615],"about_ca_topic_score_codex":0.0004389696,"about_ca_topic_score_gemma":0.00060450484,"teacher_disagreement_score":0.0057219123,"about_ca_system_score_codex":0.0008031486,"about_ca_system_score_gemma":0.00035145888,"threshold_uncertainty_score":0.019141734},"labels":[],"label_agreement":null},{"id":"W2050813462","doi":"10.1090/s0025-5718-01-01312-6","title":"Jacobi sums and new families of irreducible polynomials of Gaussian periods","year":2001,"lang":"lv","type":"article","venue":"Mathematics of Computation","topic":"Advanced Algebra and Geometry","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","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence","score_opus":0.04299581041631966,"score_gpt":0.31785225223258096,"score_spread":0.2748564418162613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050813462","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45073566,0.0028483726,0.21392715,0.0038951002,0.0015291665,0.00010637187,0.00095524656,0.0015555776,0.32444742],"genre_scores_gemma":[0.90197164,0.001272518,0.027544536,0.0005971412,0.0010805603,0.000101523336,0.000443939,0.000630493,0.066357605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989736,0.00020238254,0.000038694325,0.0001707404,0.00036933197,0.00024526266],"domain_scores_gemma":[0.9985386,0.0005107136,0.00017997481,0.00021811873,0.00027239395,0.00028026395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014568147,0.00065129367,0.0006907758,0.0031978986,0.0019360773,0.0031198214,0.0010795298,0.0008131507,0.012893996],"category_scores_gemma":[0.005046659,0.00046033112,0.0010881652,0.0019305851,0.0027600664,0.0037409659,0.0019785103,0.0021754568,0.0028649794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027687607,0.000013190482,0.00022052192,0.000034468892,0.000004703238,0.00007093254,0.00019736658,0.00085391063,0.00034478263,0.98893076,0.002495546,0.006806064],"study_design_scores_gemma":[0.0000166506,0.000017679666,0.00050860463,0.000025512601,0.000008850161,0.00026921518,0.00013532626,0.011892143,0.0008050191,0.9769597,0.00933307,0.000028179129],"about_ca_topic_score_codex":0.0010947055,"about_ca_topic_score_gemma":0.0011752464,"teacher_disagreement_score":0.012893996,"about_ca_system_score_codex":0.0022196157,"about_ca_system_score_gemma":0.0011238144,"threshold_uncertainty_score":0.04313475},"labels":[],"label_agreement":null},{"id":"W2051590578","doi":"10.4153/cjm-2002-012-x","title":"On Connected Components of Shimura Varieties","year":2002,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Invariant (physics); TRACE (psycholinguistics); Pure mathematics; Cohomology; Group (periodic table); Shimura variety; Hecke algebra; Operator (biology); Character (mathematics); Algebra over a field; Modular form; Geometry; Mathematical physics","score_opus":0.0667811612541193,"score_gpt":0.2625994482283495,"score_spread":0.1958182869742302,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051590578","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9662821,0.00032009862,0.019099997,0.00013177552,0.00004594365,0.00003166931,0.000030661948,0.00012603545,0.013931748],"genre_scores_gemma":[0.99436945,0.00010313332,0.0022100646,0.000019892923,0.00004011493,0.00001719656,0.00003636674,0.00002118835,0.0031826477],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996562,0.000054658485,0.000013954572,0.00006371027,0.00012590547,0.000085487496],"domain_scores_gemma":[0.99967873,0.000055410354,0.00006688151,0.000024171786,0.000042589825,0.00013235344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030132942,0.0006750006,0.00052548293,0.0034318604,0.001251287,0.0018840726,0.000504674,0.0005061721,0.0050055445],"category_scores_gemma":[0.0010280743,0.00027426763,0.00040238257,0.0014255518,0.0026780292,0.0020117136,0.0016376044,0.00068610994,0.00033404824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009324454,0.000038709077,0.0017584384,0.000047678088,0.000021977597,0.0003937481,0.0012170704,0.0026557504,0.005687848,0.97957015,0.00039472338,0.008120719],"study_design_scores_gemma":[0.000060419316,0.00017048299,0.0064377915,0.00005310955,0.00006095594,0.0006144261,0.0013452552,0.03387693,0.006908738,0.9445185,0.0059092753,0.000044145494],"about_ca_topic_score_codex":0.0008606574,"about_ca_topic_score_gemma":0.0004885959,"teacher_disagreement_score":0.0050055445,"about_ca_system_score_codex":0.0009045333,"about_ca_system_score_gemma":0.00028821488,"threshold_uncertainty_score":0.01674521},"labels":[],"label_agreement":null},{"id":"W2052799426","doi":"10.1007/s00208-009-0442-5","title":"The moduli space of stable vector bundles over a real algebraic curve","year":2009,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":68,"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; Vector bundle; Moduli space; Pure mathematics; Unitary state; Space (punctuation); Algebraic number; Algebraic curve; Extension (predicate logic); Group (periodic table); Algebra over a field; Mathematical analysis","score_opus":0.029404307233727712,"score_gpt":0.3129860282393545,"score_spread":0.2835817210056268,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2052799426","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91103125,0.0017376525,0.021584509,0.0024571684,0.00023123626,0.00005116595,0.0007031143,0.00022907907,0.061974842],"genre_scores_gemma":[0.98117983,0.0007548586,0.0021290334,0.00010846147,0.00039812276,0.00003346832,0.0003878136,0.0000443324,0.014963986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993814,0.000097459895,0.000030120345,0.000121819176,0.00021410761,0.0001550756],"domain_scores_gemma":[0.9992937,0.00015608259,0.00018218604,0.000038772858,0.00009140443,0.00023787908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008545577,0.0012709299,0.00087135984,0.0040321406,0.0019049929,0.0048466674,0.0010055327,0.0015813411,0.00831169],"category_scores_gemma":[0.0012400316,0.0004631975,0.0004595665,0.0023560342,0.0025676065,0.00685777,0.0019510597,0.0016428,0.001129719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017091053,0.000051301864,0.0007141675,0.00007117826,0.000024067987,0.0002716124,0.00055187644,0.00092560746,0.0029391684,0.98615164,0.0009500999,0.0071784765],"study_design_scores_gemma":[0.000068194015,0.0001286667,0.0015330072,0.000042086496,0.000038031303,0.00081176247,0.000431191,0.008769786,0.0026002794,0.9785583,0.0069742817,0.000044371427],"about_ca_topic_score_codex":0.0005050566,"about_ca_topic_score_gemma":0.00027276584,"teacher_disagreement_score":0.00831169,"about_ca_system_score_codex":0.0013874671,"about_ca_system_score_gemma":0.00071569846,"threshold_uncertainty_score":0.027805388},"labels":[],"label_agreement":null},{"id":"W2053155405","doi":"10.4153/cmb-2006-004-8","title":"Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"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":"Canadian Mathematical Society; National Science Foundation","keywords":"Mathematics; Holomorphic function; Subsequence; Vector bundle; Pure mathematics; Complex manifold; Identity theorem; Unitary state; Normal bundle; Sequence (biology); Mathematical analysis; Bounded function","score_opus":0.022434581348712426,"score_gpt":0.26196270749157646,"score_spread":0.23952812614286403,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053155405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7264855,0.0012160998,0.23871964,0.0008128467,0.00031440592,0.00007432674,0.00011214274,0.00018386329,0.03208128],"genre_scores_gemma":[0.9530776,0.00088117894,0.025016604,0.00017109465,0.00024459237,0.000108901964,0.00017424571,0.000059427213,0.020266352],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964046,0.000084934785,0.000020938536,0.00007719923,0.000112003094,0.000064378844],"domain_scores_gemma":[0.99896276,0.00020289843,0.00016652115,0.00008032541,0.00031175825,0.00027574558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011453197,0.0006922226,0.0006029523,0.0017726464,0.0011148348,0.0013586242,0.0005705367,0.00063947664,0.0028677313],"category_scores_gemma":[0.0033812788,0.00023410635,0.00047300477,0.00058918016,0.0018413435,0.0021143912,0.0018527163,0.0013568139,0.0004013184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004914883,0.000027308632,0.00067282136,0.000038462193,0.000013454983,0.00030068515,0.00038853296,0.00360107,0.00872945,0.978753,0.0006456089,0.0067804926],"study_design_scores_gemma":[0.000042834676,0.00024409595,0.0030887225,0.00007073001,0.000026885748,0.00047402657,0.00053871307,0.08657173,0.0062457277,0.89517444,0.0074853944,0.00003680247],"about_ca_topic_score_codex":0.000954077,"about_ca_topic_score_gemma":0.0008607182,"teacher_disagreement_score":0.0028677313,"about_ca_system_score_codex":0.0013640125,"about_ca_system_score_gemma":0.00060521736,"threshold_uncertainty_score":0.009896636},"labels":[],"label_agreement":null},{"id":"W2053770901","doi":"10.1016/j.jalgebra.2014.03.016","title":"On branching rules of depth-zero representations","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Branching (polymer chemistry); Zero (linguistics); Coincidence; Pure mathematics; Representation (politics); Representation theory; Combinatorics; Linguistics","score_opus":0.0261970517063881,"score_gpt":0.3281215889347695,"score_spread":0.3019245372283814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053770901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45459363,0.0022483622,0.25476015,0.0040610093,0.0008797667,0.00012301693,0.0004058682,0.0006767771,0.2822514],"genre_scores_gemma":[0.9434607,0.0009877528,0.027055725,0.00085383194,0.00046202837,0.00007983401,0.00031122606,0.000376254,0.02641277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984438,0.0004427213,0.00008775124,0.00022521356,0.00041187016,0.00038870386],"domain_scores_gemma":[0.99551105,0.0025637592,0.00035178798,0.0005082325,0.00044708213,0.00061816425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002767363,0.0011058147,0.0012489829,0.0032270364,0.0037626028,0.005495137,0.0022768984,0.0028381704,0.009304077],"category_scores_gemma":[0.008659686,0.00094092905,0.0015696895,0.00252563,0.0067110467,0.011408681,0.0039341813,0.0060415175,0.0012299358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013165607,0.000009093505,0.00008356754,0.000008175896,0.0000018372949,0.00003735433,0.00014660449,0.00020429415,0.00015702302,0.99770916,0.00024714053,0.0013826021],"study_design_scores_gemma":[0.0000044843187,0.0000024257156,0.000028818356,0.000005054189,0.0000015511349,0.000018517436,0.000028939896,0.00051409483,0.000055876764,0.9990338,0.00030250166,0.0000040050386],"about_ca_topic_score_codex":0.0023588694,"about_ca_topic_score_gemma":0.0021458452,"teacher_disagreement_score":0.009304077,"about_ca_system_score_codex":0.0024144552,"about_ca_system_score_gemma":0.0010538789,"threshold_uncertainty_score":0.031125247},"labels":[],"label_agreement":null},{"id":"W2055004851","doi":"10.4153/cmb-2007-025-7","title":"A Remark on a Modular Analogue of the Sato–Tate Conjecture","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Holomorphic function; Modular form; Distribution (mathematics); Elliptic curve; Eigenvalues and eigenvectors; Pure mathematics; Sato–Tate conjecture; Modular elliptic curve; Mathematical analysis; Quarter period","score_opus":0.017589030676578517,"score_gpt":0.26639218813937876,"score_spread":0.24880315746280024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055004851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7071989,0.00071589544,0.22755386,0.008333895,0.00049874734,0.000041557145,0.00051664404,0.0005625071,0.054578014],"genre_scores_gemma":[0.99110365,0.0001692335,0.005431705,0.0004571885,0.00047074896,0.000031651052,0.00011417533,0.000050860235,0.002170904],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972747,0.0006866601,0.00011968914,0.0007811749,0.000753567,0.00038416067],"domain_scores_gemma":[0.9849023,0.007765066,0.0018267626,0.0028891964,0.0014758134,0.0011408726],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004424461,0.00037956654,0.0014161209,0.0015054302,0.0016769272,0.0029530902,0.0014617445,0.0012454772,0.013024652],"category_scores_gemma":[0.022330657,0.00040589017,0.00072778366,0.0016709174,0.0066077607,0.004105585,0.0031184545,0.0025440813,0.0008848242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001645724,0.000029332312,0.0058969487,0.000048401962,0.000022290853,0.00027967064,0.0003967861,0.0028795702,0.0028420163,0.97826904,0.0021780075,0.0069934228],"study_design_scores_gemma":[0.000056405184,0.000089303736,0.0066323364,0.000029044042,0.000011271594,0.00077262695,0.00024320364,0.019613476,0.0014418969,0.96778136,0.003285931,0.00004311714],"about_ca_topic_score_codex":0.0005642989,"about_ca_topic_score_gemma":0.00022069534,"teacher_disagreement_score":0.013024652,"about_ca_system_score_codex":0.0007590772,"about_ca_system_score_gemma":0.0003723898,"threshold_uncertainty_score":0.04357183},"labels":[],"label_agreement":null},{"id":"W2055389751","doi":"10.4153/cmb-2001-048-9","title":"Matching of Weighted Orbital Integrals for Metaplectic Correspondences","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Prime (order theory); Pure mathematics; Combinatorics; Algebra over a field","score_opus":0.03670368001655657,"score_gpt":0.3078972612149578,"score_spread":0.27119358119840126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055389751","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88913685,0.00012268436,0.08997667,0.00017020825,0.00005583956,0.000034711375,0.00007269764,0.00015640487,0.020274036],"genre_scores_gemma":[0.9873947,0.000075875,0.0080249915,0.00004869124,0.00004194754,0.000022354596,0.00007977115,0.000044739667,0.004266942],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924845,0.00010317949,0.000051548366,0.00016312755,0.0002645509,0.00016913038],"domain_scores_gemma":[0.99906343,0.00020145018,0.00024278082,0.00016609541,0.00015137761,0.00017488097],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078882946,0.00027751058,0.00048628898,0.001936232,0.0010961572,0.0023827925,0.00073081045,0.00077681354,0.006041749],"category_scores_gemma":[0.003023885,0.00027066027,0.0005034323,0.0010510734,0.0014170813,0.004413873,0.0018370899,0.0009706893,0.0006282532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000069219306,0.000049321883,0.0012142003,0.000023679211,0.000011371697,0.00014132958,0.00026146523,0.00089682057,0.0051478245,0.9852378,0.00032400372,0.0066230088],"study_design_scores_gemma":[0.000025557352,0.00006818309,0.002172206,0.000017735843,0.000026137988,0.00040006835,0.00032758832,0.017865775,0.007648295,0.9691366,0.0022907408,0.000021158792],"about_ca_topic_score_codex":0.00038637067,"about_ca_topic_score_gemma":0.00031445984,"teacher_disagreement_score":0.006041749,"about_ca_system_score_codex":0.00074997154,"about_ca_system_score_gemma":0.00034151945,"threshold_uncertainty_score":0.020211637},"labels":[],"label_agreement":null},{"id":"W2055452157","doi":"10.1090/s0894-0347-2014-00786-4","title":"Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields","year":2014,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":40,"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":"McMaster University","keywords":"Mathematics; Unitary state; Divisibility rule; Iwasawa theory; Congruence (geometry); Pure mathematics; Conjecture; Congruence relation; Algebra over a field; Geometry; Law","score_opus":0.01617036077338443,"score_gpt":0.29545142401364194,"score_spread":0.27928106324025753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055452157","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8548268,0.0019469853,0.03492005,0.005074519,0.00037685657,0.000048505284,0.00013211647,0.00013651184,0.10253763],"genre_scores_gemma":[0.9907086,0.0004854629,0.0028942004,0.00022064465,0.00033175794,0.000032834952,0.000103033286,0.000017851356,0.005205692],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903893,0.00024705962,0.000063544685,0.0001540577,0.00023972116,0.00025668563],"domain_scores_gemma":[0.99777526,0.0011637121,0.00031051523,0.00021196513,0.00019718827,0.00034130382],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020196885,0.0008616651,0.00090425846,0.0024325924,0.0024958586,0.0028421825,0.0008496949,0.0015874781,0.006703974],"category_scores_gemma":[0.005140299,0.00045352086,0.000926511,0.0011974318,0.0071016955,0.0074721915,0.004091305,0.002956733,0.0005413133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003981057,0.000022326723,0.000804504,0.0000350446,0.0000036053716,0.00020103234,0.00038201752,0.00039368236,0.0007932548,0.9950192,0.00037380474,0.0019317628],"study_design_scores_gemma":[0.00002239011,0.000029823359,0.0005607899,0.000021431993,0.000004401455,0.00017276485,0.00024528342,0.0016087844,0.00068128336,0.9953122,0.0013315744,0.000009272883],"about_ca_topic_score_codex":0.00060385786,"about_ca_topic_score_gemma":0.00036967563,"teacher_disagreement_score":0.006703974,"about_ca_system_score_codex":0.0012966137,"about_ca_system_score_gemma":0.0005172722,"threshold_uncertainty_score":0.022427022},"labels":[],"label_agreement":null},{"id":"W2056631054","doi":"10.1090/s0025-5718-2010-02423-8","title":"Computing systems of Hecke eigenvalues associated to Hilbert modular forms","year":2010,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"University of Sydney","keywords":"Mathematics; Modular form; Eigenvalues and eigenvectors; Hecke operator; Cohomology; Pure mathematics; Algebra over a field; Modular design; Field (mathematics)","score_opus":0.025713900069497902,"score_gpt":0.31934530518400944,"score_spread":0.2936314051145115,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056631054","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25473365,0.00025671886,0.729393,0.00033554342,0.00014935841,0.00008613524,0.00042196372,0.0022278284,0.012395788],"genre_scores_gemma":[0.7867309,0.00019136701,0.20505567,0.000083571606,0.000116292336,0.0000904875,0.0007042897,0.0005390555,0.006488372],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999084,0.00017479972,0.00006617687,0.00021164083,0.00030688223,0.00015646039],"domain_scores_gemma":[0.9987973,0.00048011166,0.000103952305,0.0002578828,0.0002498154,0.00011090778],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010342377,0.00070116436,0.000625005,0.0021737104,0.0010281355,0.0028707066,0.0013026058,0.000644863,0.0086927675],"category_scores_gemma":[0.0047629443,0.00040961802,0.0007338736,0.0016304099,0.0015867074,0.0050643478,0.0022737905,0.0010752461,0.0015677157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022080819,0.000115151706,0.0024270874,0.00025822181,0.000056891808,0.00018409721,0.00069258985,0.03128249,0.011277876,0.8537607,0.0043617906,0.09536228],"study_design_scores_gemma":[0.000037387228,0.0000616383,0.0004225716,0.000022368067,0.000020001695,0.000073389085,0.00016994616,0.15526389,0.012025168,0.82750314,0.0043664104,0.00003409084],"about_ca_topic_score_codex":0.00091396563,"about_ca_topic_score_gemma":0.0014670318,"teacher_disagreement_score":0.0086927675,"about_ca_system_score_codex":0.0010749394,"about_ca_system_score_gemma":0.00079044956,"threshold_uncertainty_score":0.029080212},"labels":[],"label_agreement":null},{"id":"W2057261750","doi":"10.4153/cjm-2005-023-x","title":"On Local <i>L</i>-Functions and Normalized Intertwining Operators","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Mathematical Society; Clay Mathematics Institute; National Science Foundation","keywords":"Mathematics; Holomorphic function; Conjecture; Pure mathematics; Langlands–Shahidi method; Residual; Automorphic form; Eisenstein series; Algebra over a field; Modular form; Algorithm","score_opus":0.020437115395934513,"score_gpt":0.26789031310296396,"score_spread":0.24745319770702945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057261750","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67406744,0.0006223794,0.23263726,0.0004999891,0.00021557607,0.000029170127,0.000029586203,0.00033511317,0.09156347],"genre_scores_gemma":[0.9745662,0.00021630416,0.0149038015,0.00009732119,0.00007178177,0.000019412033,0.0000197411,0.00012344979,0.009981907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957484,0.000108505905,0.000017405919,0.00009007018,0.00012842235,0.00008075256],"domain_scores_gemma":[0.9994962,0.000106662475,0.00009298805,0.00009840528,0.00009015874,0.00011552646],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008923248,0.0005678404,0.0005071718,0.0010947781,0.00096528814,0.0013447284,0.00064841,0.00057138945,0.0041879034],"category_scores_gemma":[0.0014443541,0.00020440438,0.0004678694,0.00059649907,0.003047047,0.0025969355,0.0012319125,0.0016539689,0.00069205515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020663223,0.000021763608,0.00037553738,0.000024152641,0.0000036706058,0.00016352092,0.00025865898,0.0011183582,0.005559918,0.9841061,0.00036179455,0.007985731],"study_design_scores_gemma":[0.000017129787,0.000063834166,0.0012738678,0.000041787043,0.000010969808,0.0008272794,0.0004626836,0.022419749,0.012548039,0.9549092,0.0073895357,0.0000359071],"about_ca_topic_score_codex":0.00039754744,"about_ca_topic_score_gemma":0.00046562345,"teacher_disagreement_score":0.0041879034,"about_ca_system_score_codex":0.0010432587,"about_ca_system_score_gemma":0.000390759,"threshold_uncertainty_score":0.014009953},"labels":[],"label_agreement":null},{"id":"W2057509809","doi":"10.4153/cmb-2012-008-0","title":"On Induced Representations Distinguished by Orthogonal Groups","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Corollary; Irreducible representation; Pure mathematics; Representation (politics); Field (mathematics); Zero (linguistics); Group (periodic table); Orthogonal group; Representation theory; Combinatorics; Algebra over a field","score_opus":0.03294986919567246,"score_gpt":0.30414189602556363,"score_spread":0.2711920268298912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057509809","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.922707,0.00012707236,0.0371691,0.00031543002,0.00013973801,0.00002874892,0.00007289771,0.00013160903,0.0393085],"genre_scores_gemma":[0.9903542,0.000054831355,0.0040719,0.00006329024,0.00006919114,0.00001224813,0.00010105614,0.00003546721,0.005237784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990344,0.00014681282,0.000044779477,0.00016432785,0.00028435094,0.00032530993],"domain_scores_gemma":[0.9992792,0.00012875455,0.00013653887,0.00018175856,0.0000857113,0.00018802748],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086837594,0.00030287405,0.0003662715,0.0008280823,0.0013243664,0.0013496759,0.0004260336,0.00039119803,0.0032803877],"category_scores_gemma":[0.0012425404,0.00020160685,0.00071919156,0.0004335606,0.0027244617,0.0020463567,0.0031844657,0.0015774845,0.0004984062],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008913075,0.00006116567,0.0009964486,0.000020752721,0.000007399145,0.0002397834,0.00051652495,0.0007058547,0.0047264835,0.9873925,0.00032862235,0.004915351],"study_design_scores_gemma":[0.000073716685,0.00018530077,0.0011568383,0.000030943895,0.000021596099,0.00050987344,0.00049782114,0.0073024607,0.013205278,0.96916705,0.007821283,0.00002787205],"about_ca_topic_score_codex":0.0002515717,"about_ca_topic_score_gemma":0.00024947955,"teacher_disagreement_score":0.0032803877,"about_ca_system_score_codex":0.00094109896,"about_ca_system_score_gemma":0.00048731957,"threshold_uncertainty_score":0.01097405},"labels":[],"label_agreement":null},{"id":"W2057964389","doi":"10.1007/s11425-010-4097-1","title":"Eisenstein series for SL(2)","year":2010,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Advanced Algebra and Geometry","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":"University of Toronto","funders":"","keywords":"Mathematics; Eisenstein series; SL2(R); Fourier series; Series (stratigraphy); Pure mathematics; Algebra over a field; Mathematical analysis; Modular form","score_opus":0.02287850182161321,"score_gpt":0.33616660217176586,"score_spread":0.31328810035015264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057964389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57910204,0.0032298556,0.07494179,0.005516815,0.0031404768,0.00008941516,0.0003446663,0.0011894231,0.3324455],"genre_scores_gemma":[0.91324216,0.0010446493,0.0077551943,0.00068819843,0.0012210306,0.00007736435,0.00019823488,0.00026703646,0.075506136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993919,0.00015024481,0.000030274705,0.00009369203,0.000176537,0.00015737054],"domain_scores_gemma":[0.9994117,0.00015403012,0.00009281363,0.000075775766,0.000103472,0.00016224556],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001125964,0.0021614793,0.0012894191,0.0043715397,0.0027553705,0.002619959,0.001432789,0.0014991487,0.01590377],"category_scores_gemma":[0.0024777022,0.0004690002,0.00083138916,0.0025436287,0.0032442915,0.00524563,0.002259125,0.0026119791,0.0022640624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050591152,0.000030574,0.00017969953,0.00003549644,0.00000824927,0.00018739313,0.00023366066,0.0004042748,0.0010916939,0.9910513,0.0014625277,0.0052644545],"study_design_scores_gemma":[0.000031871008,0.000033968015,0.00038869478,0.000015929994,0.000012533849,0.00023824399,0.00007114853,0.002716576,0.0006335986,0.99102205,0.0048129614,0.000022364105],"about_ca_topic_score_codex":0.0009227234,"about_ca_topic_score_gemma":0.00092776364,"teacher_disagreement_score":0.01590377,"about_ca_system_score_codex":0.0018702861,"about_ca_system_score_gemma":0.00089089153,"threshold_uncertainty_score":0.053203404},"labels":[],"label_agreement":null},{"id":"W2058189587","doi":"10.1007/s11128-013-0609-6","title":"Linear dependencies in Weyl–Heisenberg orbits","year":2013,"lang":"en","type":"article","venue":"Quantum Information Processing","topic":"Advanced Algebra and Geometry","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":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Algebraic number; Dimension (graph theory); Eigenvalues and eigenvectors; Unitary state; Linear map; Subspace topology; Vector space; Linear subspace; Connection (principal bundle)","score_opus":0.028321466956159766,"score_gpt":0.3000358818978707,"score_spread":0.27171441494171095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058189587","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7019917,0.0011884264,0.15263797,0.004870915,0.00044405877,0.00012845622,0.000839934,0.00063228124,0.13726634],"genre_scores_gemma":[0.9562301,0.0006618904,0.011693666,0.00056099513,0.0005207147,0.0000891226,0.00035049862,0.00025910902,0.029633861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931645,0.00016822222,0.00003291312,0.00009155229,0.00022089061,0.00017001957],"domain_scores_gemma":[0.9981974,0.000633034,0.00031621332,0.00029787194,0.00025946533,0.00029611785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010729475,0.0007087164,0.00093520177,0.0018625268,0.0022012156,0.0019769864,0.0014818967,0.001363069,0.010161741],"category_scores_gemma":[0.0036437532,0.00059080694,0.0007040117,0.0012353837,0.0036444766,0.006106967,0.001920556,0.002619422,0.0012066133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025376077,0.000010807648,0.00006553423,0.000015956728,0.0000039930374,0.000038793027,0.00008400201,0.00086130307,0.00032673843,0.9965475,0.00056527235,0.0014546763],"study_design_scores_gemma":[0.0000066044518,0.000008046425,0.00013294411,0.000005572554,0.000002578531,0.00002863745,0.000026610638,0.004301051,0.00023260413,0.9948001,0.0004463374,0.000009001863],"about_ca_topic_score_codex":0.00263,"about_ca_topic_score_gemma":0.0017928137,"teacher_disagreement_score":0.010161741,"about_ca_system_score_codex":0.0014535423,"about_ca_system_score_gemma":0.0013266363,"threshold_uncertainty_score":0.033994377},"labels":[],"label_agreement":null},{"id":"W2060534865","doi":"10.4153/cmb-2014-007-3","title":"Fourier Coefficients of Vector-valued Modular Forms of Dimension 2","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":16,"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":"Modular form; Fourier series; Modular design; Dimension (graph theory); Congruence (geometry); Modular group; Modular curve; Congruence subgroup","score_opus":0.014398937974479378,"score_gpt":0.2535780778185244,"score_spread":0.23917913984404504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060534865","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9505564,0.00036791008,0.028891623,0.0004856311,0.00016028884,0.000019367088,0.00010916259,0.00008893088,0.01932072],"genre_scores_gemma":[0.991176,0.0001363552,0.0032026945,0.000065845066,0.00015267271,0.000017021925,0.000053507723,0.00002223894,0.0051736115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995616,0.000097682016,0.000019003677,0.00006588036,0.0001426686,0.000113209855],"domain_scores_gemma":[0.9991511,0.00029761225,0.00017426697,0.00007149454,0.00016095342,0.00014466017],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009263257,0.00078573177,0.0005638129,0.0019725778,0.00058383186,0.001867462,0.0006140086,0.00074732513,0.0057376735],"category_scores_gemma":[0.003167305,0.0003565956,0.0003441425,0.0007471777,0.0018241171,0.0028615857,0.001277357,0.0009138119,0.0004703516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022719459,0.00008464976,0.0026518092,0.00008911122,0.000030215951,0.00065080955,0.00058413437,0.0041658976,0.014193578,0.962255,0.0017955415,0.013271989],"study_design_scores_gemma":[0.00015140408,0.00018525435,0.0057556513,0.000063081636,0.000030141253,0.0013423993,0.00037781667,0.047314864,0.006692412,0.93244636,0.0055502527,0.00009037371],"about_ca_topic_score_codex":0.0003811778,"about_ca_topic_score_gemma":0.0003145234,"teacher_disagreement_score":0.0057376735,"about_ca_system_score_codex":0.0007668505,"about_ca_system_score_gemma":0.00030548492,"threshold_uncertainty_score":0.019194365},"labels":[],"label_agreement":null},{"id":"W2060836557","doi":"10.4153/cmb-2011-127-8","title":"Multiplicity Free Jacquet Modules","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Israel Science Foundation; Weizmann Institute of Science; National Science Foundation","keywords":"Functor; Multiplicity (mathematics); Unipotent; Property (philosophy); Field (mathematics)","score_opus":0.05724494799054046,"score_gpt":0.2566766259732795,"score_spread":0.19943167798273903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060836557","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8181345,0.0016833219,0.07216954,0.0014411253,0.00045995053,0.00007433471,0.000190724,0.00044684488,0.10539959],"genre_scores_gemma":[0.97448254,0.00032138187,0.0063807173,0.00017834638,0.00030893262,0.000029823777,0.00011675601,0.000039791197,0.018141735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913424,0.00009936853,0.0000361075,0.00016379352,0.00032796356,0.00023854601],"domain_scores_gemma":[0.99854505,0.00021132521,0.00020030532,0.00015157029,0.00033983387,0.00055189105],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009013793,0.00041733662,0.00048392476,0.002738632,0.0019760458,0.0022364927,0.0006285467,0.0006711819,0.0065652416],"category_scores_gemma":[0.0019222669,0.00029507835,0.0006599098,0.0007822027,0.002601981,0.0032483789,0.0028528841,0.001218263,0.0006777356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003106594,0.00002676785,0.00058684085,0.000031504944,0.000010797422,0.0001762303,0.00044527266,0.0002910183,0.0031008343,0.98861164,0.00086572603,0.005822379],"study_design_scores_gemma":[0.00003084971,0.00009371551,0.0023590487,0.00002314886,0.000025539748,0.0007700904,0.0002559174,0.00448405,0.004817561,0.9677009,0.019396411,0.000042781758],"about_ca_topic_score_codex":0.0009121882,"about_ca_topic_score_gemma":0.0008221301,"teacher_disagreement_score":0.0065652416,"about_ca_system_score_codex":0.0014276025,"about_ca_system_score_gemma":0.00072100596,"threshold_uncertainty_score":0.02196294},"labels":[],"label_agreement":null},{"id":"W2061097380","doi":"10.1016/j.aim.2012.05.001","title":"Lattice polarized K3 surfaces and Siegel modular forms","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Isogeny; Moduli space; Siegel modular form; K3 surface; Pure mathematics; Lattice (music); Modular form; Algebraic number; Algebra over a field; Abelian group; Mathematical analysis; Physics","score_opus":0.02254815688179445,"score_gpt":0.3204619417626574,"score_spread":0.29791378488086295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061097380","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6797576,0.0014225435,0.05339899,0.005677699,0.0009389742,0.0000688854,0.00038742548,0.00045576453,0.25789213],"genre_scores_gemma":[0.9511905,0.0007610019,0.00670799,0.0005754504,0.0006299807,0.000047827663,0.00025796721,0.00017560106,0.03965359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996013,0.00008190664,0.000014390967,0.00005796425,0.00014094834,0.00010346794],"domain_scores_gemma":[0.99960667,0.0000798086,0.000076274264,0.000046434932,0.00006292036,0.00012787843],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004903736,0.0012000507,0.00078609353,0.0026390636,0.0022808784,0.0038267276,0.0008969325,0.001242789,0.010602225],"category_scores_gemma":[0.0012462058,0.00056297006,0.00073423027,0.0015642584,0.0034962196,0.0046890895,0.0030119938,0.003209644,0.0015688571],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032141645,0.000014325392,0.00010407658,0.000013803819,0.00000431664,0.00006292519,0.00017265975,0.00021504726,0.00055696914,0.99577075,0.0008332004,0.0022197021],"study_design_scores_gemma":[0.000024228255,0.00001035338,0.00022634219,0.000009523339,0.000007558156,0.00015995163,0.00020747146,0.001064667,0.00045893237,0.9947872,0.003032392,0.000011365923],"about_ca_topic_score_codex":0.00077344273,"about_ca_topic_score_gemma":0.00069559197,"teacher_disagreement_score":0.010602225,"about_ca_system_score_codex":0.0011691449,"about_ca_system_score_gemma":0.00054920296,"threshold_uncertainty_score":0.035468042},"labels":[],"label_agreement":null},{"id":"W2061740128","doi":"10.1017/s1446788700001841","title":"Pointwise estimates of the size of characters of compact Lie groups","year":2000,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo","keywords":"Mathematics; Pointwise; Rank (graph theory); Lie group; Pure mathematics; Measure (data warehouse); Integer (computer science); Exponent; Dimension (graph theory); Simple (philosophy); Singularity; Combinatorics; Mathematical analysis","score_opus":0.019815123242617135,"score_gpt":0.2819077489947606,"score_spread":0.2620926257521435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061740128","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9459713,0.0005306055,0.046038773,0.0005139584,0.0000488596,0.00002382124,0.000146638,0.00014506224,0.006580926],"genre_scores_gemma":[0.9949921,0.00015571484,0.0033307432,0.000027979197,0.00013732826,0.000030700867,0.00012208009,0.000039193044,0.0011642155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999186,0.00023455343,0.00003396075,0.00016249692,0.00026307645,0.000119892],"domain_scores_gemma":[0.9783159,0.014412821,0.0026397011,0.0010480756,0.0013100203,0.002273506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018090756,0.0007010418,0.00080915156,0.0033965881,0.0006946003,0.002079205,0.0014393143,0.0011495677,0.0035135094],"category_scores_gemma":[0.019937372,0.00060469494,0.0004169704,0.0006029161,0.0033312235,0.0061396398,0.003036905,0.0021310374,0.00032212125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010152785,0.00017148828,0.024924912,0.00039141355,0.00014267785,0.0010911525,0.0017951974,0.02890064,0.067012765,0.85696214,0.0016908718,0.015901443],"study_design_scores_gemma":[0.00005795479,0.00061869697,0.026971675,0.00014594823,0.000082188475,0.0012425563,0.0008936074,0.23445413,0.047918085,0.6847017,0.0027602909,0.00015322851],"about_ca_topic_score_codex":0.00017642119,"about_ca_topic_score_gemma":0.00012567895,"teacher_disagreement_score":0.0035135094,"about_ca_system_score_codex":0.00086871744,"about_ca_system_score_gemma":0.00018099134,"threshold_uncertainty_score":0.011753857},"labels":[],"label_agreement":null},{"id":"W2062583747","doi":"10.4153/cjm-2005-026-1","title":"Branching Rules for Principal Series Representations of <i>SL</i>(2) over a <i>p</i>-adic Field","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; University of Ottawa","keywords":"Mathematics; Series (stratigraphy); Conjugacy class; Field (mathematics); Principal (computer security); Pure mathematics; Decomposition; Branching (polymer chemistry); Computer science; Chemistry","score_opus":0.028355181741853464,"score_gpt":0.313053414763549,"score_spread":0.2846982330216955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062583747","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89781994,0.00021556974,0.04492944,0.00030794888,0.00011630601,0.00006515378,0.00012546593,0.00028913404,0.056130983],"genre_scores_gemma":[0.98324686,0.00018363896,0.008042865,0.000068687514,0.00004699913,0.000037089103,0.0001265449,0.000114366085,0.008132898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996898,0.000043190048,0.000018365803,0.00003986283,0.00011691524,0.00009186397],"domain_scores_gemma":[0.99962234,0.00010452439,0.000063581676,0.00005262507,0.000049678703,0.00010720321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047477058,0.00040500198,0.00036157438,0.0012587407,0.0013777005,0.0024371836,0.00048933114,0.0005661913,0.0044926098],"category_scores_gemma":[0.001111646,0.00022290996,0.00062824454,0.0006621643,0.0020779783,0.0018447529,0.0009382103,0.0013048657,0.0006456948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000869049,0.000081243954,0.0012766015,0.00004429597,0.0000085272495,0.00094591524,0.00093967584,0.0029407232,0.015374036,0.96533257,0.0011038281,0.01186567],"study_design_scores_gemma":[0.00003087514,0.000044529283,0.0010230758,0.000032292013,0.000009817309,0.0004352356,0.00024563711,0.012930825,0.005313751,0.9757047,0.004207054,0.000022060756],"about_ca_topic_score_codex":0.00094504526,"about_ca_topic_score_gemma":0.0009849004,"teacher_disagreement_score":0.0044926098,"about_ca_system_score_codex":0.00091690937,"about_ca_system_score_gemma":0.0004064576,"threshold_uncertainty_score":0.015029252},"labels":[],"label_agreement":null},{"id":"W2062655097","doi":"10.1016/j.aim.2011.10.014","title":"A Brylinski filtration for affine Kac–Moody algebras","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":11,"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; National Science Foundation","keywords":"Mathematics; Filtration (mathematics); Affine transformation; Pure mathematics; Algebra over a field","score_opus":0.056163519220754264,"score_gpt":0.33434815279985763,"score_spread":0.2781846335791034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062655097","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5342746,0.004056638,0.21191132,0.004452538,0.0013750884,0.00015962086,0.00094202487,0.001158316,0.24166992],"genre_scores_gemma":[0.926993,0.0016174205,0.023088142,0.0010411716,0.0011319318,0.00015381203,0.0007680567,0.00020486269,0.045001686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932885,0.00013777918,0.000045649438,0.00012129854,0.00019111986,0.00017536021],"domain_scores_gemma":[0.9993086,0.000116562,0.00010359174,0.000070120084,0.00013741579,0.00026365454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017295296,0.0014446554,0.0018779214,0.0038592955,0.0048596887,0.0048581064,0.0011906935,0.0016136481,0.0075761946],"category_scores_gemma":[0.0014229009,0.00090746663,0.0016425397,0.0025368507,0.0035362188,0.00634189,0.0026682622,0.004277451,0.0018700395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028735767,0.00002139711,0.00010395646,0.000022742119,0.0000071691716,0.000060128725,0.00022745773,0.00017626022,0.00069726637,0.99612033,0.0008921056,0.001642579],"study_design_scores_gemma":[0.000026732834,0.000027094577,0.0003201792,0.000013749956,0.000012850527,0.00012370819,0.000093360344,0.0011613703,0.00030239954,0.9944094,0.003486762,0.000022234275],"about_ca_topic_score_codex":0.0019941279,"about_ca_topic_score_gemma":0.0017124433,"teacher_disagreement_score":0.0075761946,"about_ca_system_score_codex":0.0020788398,"about_ca_system_score_gemma":0.0009563463,"threshold_uncertainty_score":0.025344908},"labels":[],"label_agreement":null},{"id":"W2063009605","doi":"10.4153/cmb-2015-010-9","title":"On the Relation of Real and Complex Lie Supergroups","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Supergroup; Mathematics; Pure mathematics; Lie group; Representation of a Lie group; Simple Lie group; Real form; Algebra over a field; Affine Lie algebra; Geology; Geochemistry","score_opus":0.07645738818851985,"score_gpt":0.2837977808755438,"score_spread":0.20734039268702395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063009605","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.860553,0.0006205338,0.055145957,0.0013701172,0.00016963796,0.000067030785,0.00014278179,0.00007767214,0.08185316],"genre_scores_gemma":[0.99131143,0.00015324209,0.0046254476,0.00009897261,0.00009066608,0.000028025663,0.00007212019,0.000010548403,0.0036096063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935657,0.00020214042,0.000037027145,0.000110407454,0.00019309172,0.000100713965],"domain_scores_gemma":[0.99848086,0.0004420473,0.00031910362,0.00017394043,0.0002662224,0.00031777256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012271187,0.0002332348,0.0002813224,0.0020605999,0.0015993249,0.0016392182,0.00034146037,0.0005343915,0.0054323357],"category_scores_gemma":[0.002352831,0.00014920822,0.00024386283,0.00079520047,0.0040148115,0.0026445214,0.0020527998,0.0007659737,0.0002652629],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015182843,0.0000072874345,0.0003373518,0.000009036534,0.0000020980385,0.00007684021,0.000317375,0.00034120277,0.00056071964,0.996837,0.00018654329,0.0013093548],"study_design_scores_gemma":[0.000007975029,0.000021136873,0.00057777396,0.000015443286,0.000003920712,0.00010470783,0.00045864357,0.0036128561,0.00038790426,0.9910459,0.0037560542,0.0000078059265],"about_ca_topic_score_codex":0.0007367588,"about_ca_topic_score_gemma":0.0006721779,"teacher_disagreement_score":0.0054323357,"about_ca_system_score_codex":0.0008011062,"about_ca_system_score_gemma":0.0004275263,"threshold_uncertainty_score":0.01817298},"labels":[],"label_agreement":null},{"id":"W2063397163","doi":"10.48550/arxiv.1212.0002","title":"On the product formula on non-compact Grassmannians","year":2012,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Laurentian University","funders":"","keywords":"Measure (data warehouse); Convolution (computer science); Product (mathematics); Mathematics; Absolute continuity; Space (punctuation); Mathematical analysis; Combinatorics; Star (game theory); Physics; Product topology; Pure mathematics; Geometry; Computer science","score_opus":0.10468995273911326,"score_gpt":0.22327567466073048,"score_spread":0.11858572192161722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063397163","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6674645,0.0014560212,0.2705317,0.0013706225,0.00025240146,0.00003055143,0.00014590836,0.0001501517,0.058598183],"genre_scores_gemma":[0.9649975,0.00052908633,0.022872815,0.00014929532,0.00022225978,0.000028220993,0.00011482841,0.00009639432,0.010989644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994054,0.00014555758,0.000029559073,0.000120209384,0.00020031985,0.00009908205],"domain_scores_gemma":[0.9986572,0.00039055495,0.00021916266,0.00014552535,0.0003224611,0.000264954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014494522,0.00057989877,0.00062053645,0.0013426635,0.0012596846,0.0019932939,0.0011765177,0.0008781152,0.003604115],"category_scores_gemma":[0.003965836,0.00029499875,0.0006011085,0.0010837168,0.002957637,0.0053953044,0.0017069385,0.0015214324,0.0004915407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010180223,0.000005837086,0.00016780183,0.000013177203,0.0000025118547,0.000073032184,0.00011493838,0.00057084154,0.0005234688,0.99679345,0.00013808215,0.0015865772],"study_design_scores_gemma":[0.000006984135,0.000048961097,0.0005292258,0.000014895979,0.0000060080306,0.00027256293,0.00011012466,0.030527676,0.00087951595,0.96572876,0.001861732,0.000013510955],"about_ca_topic_score_codex":0.0014114684,"about_ca_topic_score_gemma":0.00091299816,"teacher_disagreement_score":0.003604115,"about_ca_system_score_codex":0.0014354364,"about_ca_system_score_gemma":0.00053597795,"threshold_uncertainty_score":0.012056947},"labels":[],"label_agreement":null},{"id":"W2065706817","doi":"10.1063/1.1313770","title":"The <i>G</i>-generalized Hitchin systems and Prym varieties","year":2000,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Integrable system; Invariant (physics); Pure mathematics; Subalgebra; Cartan subalgebra; Lagrangian; Rank (graph theory); Lie group; Algebra over a field; Mathematical physics; Combinatorics; Adjoint representation of a Lie algebra; Lie conformal algebra","score_opus":0.02548313775298681,"score_gpt":0.29131482681501214,"score_spread":0.2658316890620253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065706817","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88744175,0.0010620323,0.03198409,0.0008647764,0.00014180639,0.000052065076,0.00012878256,0.00014381428,0.07818093],"genre_scores_gemma":[0.9884299,0.0003086642,0.0050414195,0.00010610706,0.000064027154,0.000022218373,0.00008091244,0.000019619692,0.0059272395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998171,0.00004002642,0.000010844316,0.00004610366,0.00004407133,0.00004189152],"domain_scores_gemma":[0.9998129,0.000021099517,0.00004577956,0.00004253838,0.000027064014,0.000050717063],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019849607,0.0003593219,0.00030288185,0.00068439636,0.0009936847,0.001884059,0.00033857944,0.00051673356,0.003021152],"category_scores_gemma":[0.00048353575,0.00017766938,0.0003323881,0.0005710209,0.002169256,0.00198066,0.0012155257,0.0008906348,0.00025972765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020048044,0.000008025618,0.00076870114,0.000039085528,0.000007032225,0.0003051362,0.00037344216,0.0012063406,0.0029472876,0.9897844,0.00057918706,0.003961318],"study_design_scores_gemma":[0.000019859806,0.00006568562,0.0024247589,0.000022815504,0.000008953914,0.0009076247,0.00041414608,0.008836359,0.00231191,0.97801524,0.006949099,0.000023545943],"about_ca_topic_score_codex":0.0006482812,"about_ca_topic_score_gemma":0.00043371398,"teacher_disagreement_score":0.003021152,"about_ca_system_score_codex":0.00052022736,"about_ca_system_score_gemma":0.0002770337,"threshold_uncertainty_score":0.010106742},"labels":[],"label_agreement":null},{"id":"W2066558222","doi":"10.1007/s11139-014-9584-5","title":"Moments of elliptic integrals and critical $$L$$ L -values","year":2014,"lang":"en","type":"article","venue":"The Ramanujan Journal","topic":"Advanced Algebra and Geometry","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":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Elliptic integral; Lattice (music); Elliptic function; Pure mathematics; Modular design; Mathematical analysis; Physics; Computer science","score_opus":0.032419281595918115,"score_gpt":0.3484731922667321,"score_spread":0.316053910670814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066558222","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6889405,0.0045137177,0.15331075,0.0056596803,0.0009716511,0.000065626526,0.00025111221,0.00053842954,0.14574845],"genre_scores_gemma":[0.97798115,0.00087944197,0.008350835,0.00041419818,0.00094476226,0.000050816983,0.00010659068,0.00016947217,0.011102635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990695,0.0003112859,0.000044793862,0.00014715819,0.00019885585,0.00022840087],"domain_scores_gemma":[0.99663514,0.0013708469,0.00054787594,0.00027800372,0.0004641004,0.00070411345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002297171,0.0012265537,0.0012538454,0.0058434694,0.002547549,0.0047813384,0.0018322025,0.0018520576,0.0075976173],"category_scores_gemma":[0.010514189,0.0007905373,0.0008239517,0.0020286283,0.0073884907,0.0058286465,0.0028943757,0.00283072,0.00097610115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027860859,0.000015396607,0.00013745714,0.000022521996,0.0000057840716,0.000061279774,0.0001182806,0.00066958653,0.00048943056,0.9966974,0.00047944713,0.0012754457],"study_design_scores_gemma":[0.000009061541,0.000008179108,0.00018784753,0.00001952265,0.000004454718,0.00008198042,0.000055075907,0.006005709,0.00033927176,0.9926475,0.0006240231,0.000017370696],"about_ca_topic_score_codex":0.00088697387,"about_ca_topic_score_gemma":0.00076730957,"teacher_disagreement_score":0.0075976173,"about_ca_system_score_codex":0.0028224678,"about_ca_system_score_gemma":0.0010135769,"threshold_uncertainty_score":0.025416613},"labels":[],"label_agreement":null},{"id":"W2067596965","doi":"10.1016/s0926-2245(03)00018-4","title":"Solvable matrix representations of Kähler groups","year":2003,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Mathematics; Pure mathematics; Group (periodic table); Manifold (fluid mechanics); Matrix (chemical analysis); Kähler manifold; Matrix group; Factorization; Regular polygon; Algebra over a field; Symmetric group; Geometry","score_opus":0.025456064215374243,"score_gpt":0.32566947268536034,"score_spread":0.3002134084699861,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067596965","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.710509,0.0021431677,0.12354842,0.003909896,0.00087449147,0.00010079316,0.00028115298,0.0005417337,0.15809134],"genre_scores_gemma":[0.95747316,0.000693523,0.0076704896,0.0003875891,0.0007975453,0.000069068716,0.00017628266,0.000087666296,0.032644797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955004,0.0001222506,0.000022040043,0.000063106505,0.00015609062,0.00008641305],"domain_scores_gemma":[0.99941695,0.00013209447,0.0001092597,0.000068510504,0.000105892075,0.00016731655],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007159932,0.0009486497,0.00097203674,0.0022926813,0.0015819028,0.0036250819,0.0012877292,0.0015082755,0.0069298544],"category_scores_gemma":[0.0013992698,0.00039034456,0.0005659547,0.0015631178,0.0022725426,0.003664635,0.0014383263,0.0015381572,0.0010940759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013402517,0.000018276121,0.00005444438,0.000013550043,0.0000035490955,0.00004664711,0.00025500162,0.00059133186,0.0006642289,0.9961488,0.0005549081,0.001635796],"study_design_scores_gemma":[0.000009727496,0.000008562867,0.000054485943,0.0000037294406,0.0000019039074,0.00003912151,0.000075751785,0.0029127216,0.000129146,0.995902,0.00085644523,0.0000063253005],"about_ca_topic_score_codex":0.0010079689,"about_ca_topic_score_gemma":0.0010828158,"teacher_disagreement_score":0.0069298544,"about_ca_system_score_codex":0.001256934,"about_ca_system_score_gemma":0.0006829193,"threshold_uncertainty_score":0.02318263},"labels":[],"label_agreement":null},{"id":"W2069978912","doi":"10.1007/s11784-010-0027-7","title":"Moment polytopes, semigroup of representations and Kazarnovskii’s theorem","year":2010,"lang":"en","type":"preprint","venue":"Journal of Fixed Point Theory and Applications","topic":"Advanced Algebra and Geometry","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; McMaster University","funders":"","keywords":"Mathematics; Semigroup; Corollary; Polytope; Irreducible representation; Pure mathematics; Tensor product; Group (periodic table); Compact group; Combinatorics; Lie group; Physics","score_opus":0.01728625485465697,"score_gpt":0.32290657244230975,"score_spread":0.3056203175876528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069978912","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45396695,0.006094001,0.3209708,0.009238912,0.0012229625,0.00010148268,0.0012518473,0.0004114017,0.20674172],"genre_scores_gemma":[0.9474145,0.001675349,0.019776577,0.0005212111,0.0012561925,0.00014805495,0.00039077096,0.00010189623,0.028715434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937797,0.00014734449,0.000031488802,0.00014406886,0.00017505336,0.00012408785],"domain_scores_gemma":[0.99879754,0.00052535813,0.00018666238,0.00009980108,0.00015954785,0.00023107766],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009662745,0.0006291319,0.001285666,0.0021402135,0.0024033708,0.003090751,0.0009733778,0.0010962224,0.0074209194],"category_scores_gemma":[0.0019605658,0.00049254234,0.0011943232,0.0011969216,0.0036221708,0.003984675,0.002233458,0.0028739448,0.0007370386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020094743,0.000011123373,0.00006174353,0.000014584159,0.0000052522355,0.0000363806,0.00006617382,0.0004002477,0.0003194958,0.9971334,0.0006608933,0.0012705817],"study_design_scores_gemma":[0.000013971364,0.000010101098,0.00011069563,0.0000043142636,0.0000037642885,0.000052688018,0.000036173078,0.0020697645,0.00012383403,0.9959688,0.0015969058,0.000009054704],"about_ca_topic_score_codex":0.0007891825,"about_ca_topic_score_gemma":0.0004774259,"teacher_disagreement_score":0.0074209194,"about_ca_system_score_codex":0.001439008,"about_ca_system_score_gemma":0.00078584114,"threshold_uncertainty_score":0.024825454},"labels":[],"label_agreement":null},{"id":"W2070111330","doi":"10.1007/s00013-004-1191-z","title":"Invariant equations defining coincident root loci","year":2004,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Advanced Algebra and Geometry","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 Manitoba; University of British Columbia","funders":"","keywords":"Mathematics; Invariant (physics); Partition (number theory); Combinatorics; Algebraic number; Algebraic graph theory; Polynomial; Discrete mathematics; Pure mathematics; Graph; Mathematical analysis; Mathematical physics","score_opus":0.039238882471504956,"score_gpt":0.3104415923936045,"score_spread":0.27120270992209955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070111330","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54934275,0.000725291,0.21355838,0.0017855384,0.0013181797,0.00018628631,0.00045042377,0.000583433,0.23204972],"genre_scores_gemma":[0.87722695,0.0006659958,0.032495815,0.000467749,0.00092850154,0.00011591547,0.0005182397,0.00063514744,0.086945586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882644,0.00020600636,0.000065050306,0.00020590363,0.0004465117,0.0002500844],"domain_scores_gemma":[0.99854004,0.00039065533,0.0003286637,0.00016207407,0.000279209,0.00029934107],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011529404,0.0013313314,0.0014136785,0.0037060378,0.002629277,0.0048765237,0.0019113434,0.0024663657,0.011170318],"category_scores_gemma":[0.00371411,0.0009454073,0.0013405291,0.0023272994,0.0035804845,0.007511917,0.0037126548,0.0055980682,0.0022740262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014124506,0.000024366353,0.00010396385,0.0000097463035,0.0000037946809,0.0001177045,0.00014962858,0.00019676672,0.00070550776,0.9964316,0.00047021473,0.0017725413],"study_design_scores_gemma":[0.000036059722,0.000029894247,0.00030228245,0.000009182692,0.0000101453525,0.00037500417,0.0001454653,0.0031337119,0.0008602895,0.9919552,0.0031218652,0.00002087269],"about_ca_topic_score_codex":0.00060059904,"about_ca_topic_score_gemma":0.0007264145,"teacher_disagreement_score":0.011170318,"about_ca_system_score_codex":0.0018557583,"about_ca_system_score_gemma":0.00075913034,"threshold_uncertainty_score":0.037368476},"labels":[],"label_agreement":null},{"id":"W2071351111","doi":"10.1017/s0004972709000148","title":"CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES","year":2009,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo; Sultan Qaboos University","keywords":"Mathematics; Haar measure; Measure (data warehouse); Absolute continuity; Symmetric space; Invariant (physics); Coset; Locally compact space; Combinatorics; Pure mathematics; Product (mathematics); Mathematical analysis; Geometry; Mathematical physics","score_opus":0.05439368871874302,"score_gpt":0.3069203191971193,"score_spread":0.2525266304783763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071351111","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9116266,0.00036430696,0.067716144,0.0003018243,0.00007891109,0.00002647883,0.00011302737,0.00011849867,0.01965419],"genre_scores_gemma":[0.99281436,0.00010773946,0.004709092,0.000031617943,0.0000466951,0.000017917506,0.0000569811,0.000021582917,0.0021940095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986656,0.0001936652,0.000100633675,0.00027282588,0.0004742932,0.00029309664],"domain_scores_gemma":[0.99738723,0.0006385417,0.0006346199,0.00028622488,0.0003400152,0.0007132767],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020828012,0.0005950063,0.0008575595,0.0019488287,0.0017650157,0.0039781868,0.00082970975,0.0007584098,0.0032678174],"category_scores_gemma":[0.0050414135,0.0005254586,0.00090005,0.0010122962,0.0042070197,0.0043811407,0.0035328534,0.0011689423,0.0002488602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006049468,0.000026558439,0.0010781074,0.00002663301,0.000015094348,0.00020288618,0.00031182772,0.001226964,0.0019046211,0.99282986,0.0001600497,0.0021569992],"study_design_scores_gemma":[0.000047154994,0.00013878246,0.0028561167,0.000038199298,0.00003707477,0.00077870884,0.0005479494,0.03754909,0.004311946,0.95089626,0.002761916,0.000036801444],"about_ca_topic_score_codex":0.0010714357,"about_ca_topic_score_gemma":0.00076904777,"teacher_disagreement_score":0.0039781868,"about_ca_system_score_codex":0.0020760964,"about_ca_system_score_gemma":0.00065870374,"threshold_uncertainty_score":0.015063167},"labels":[],"label_agreement":null},{"id":"W2071374310","doi":"10.4153/cmb-2005-030-6","title":"On Non-Vanishing of Convolution of Dirichlet Series","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"McGill University; University of Lethbridge","funders":"","keywords":"Mathematics; Dirichlet series; General Dirichlet series; Series (stratigraphy); Dirichlet kernel; Convolution (computer science); Class (philosophy); Simple (philosophy); Dirichlet distribution; Line (geometry); Analytic number theory; Pure mathematics; Mathematical analysis; Geometry; Computer science","score_opus":0.01472280078957588,"score_gpt":0.26021112180614303,"score_spread":0.24548832101656715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071374310","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8854069,0.00047422157,0.07819939,0.0009676787,0.00022735016,0.000024644323,0.00004937218,0.00029820277,0.03435217],"genre_scores_gemma":[0.9910908,0.00013257211,0.0044679237,0.00009244546,0.00017810392,0.000019811643,0.000042847503,0.000069283036,0.0039062593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99738985,0.0007100537,0.000121251745,0.00046224022,0.0007219343,0.0005946863],"domain_scores_gemma":[0.9911616,0.0032496466,0.0012599737,0.0006503044,0.0015501941,0.0021281748],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032514727,0.00077860773,0.0012017454,0.0030469599,0.0027556627,0.0039183693,0.0015911055,0.0017785084,0.004007565],"category_scores_gemma":[0.015274448,0.0005612027,0.00088060455,0.0013922196,0.006026611,0.0065743416,0.0029929911,0.0030257485,0.0004997989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020865348,0.00007778178,0.0027513881,0.00006304573,0.00002381558,0.00090861646,0.0004679314,0.0016688665,0.0076321037,0.97922075,0.0005585156,0.006418616],"study_design_scores_gemma":[0.000068721994,0.00018878025,0.004980046,0.0000699896,0.000041043022,0.002615552,0.00038037956,0.06479618,0.010588633,0.91342527,0.002764681,0.000080788486],"about_ca_topic_score_codex":0.0006132518,"about_ca_topic_score_gemma":0.00041204324,"teacher_disagreement_score":0.004007565,"about_ca_system_score_codex":0.0021717087,"about_ca_system_score_gemma":0.0006329275,"threshold_uncertainty_score":0.017195642},"labels":[],"label_agreement":null},{"id":"W2071833839","doi":"10.1016/j.jfa.2010.05.017","title":"Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces","year":2010,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Algebra and Geometry","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":"Laurentian University","funders":"","keywords":"Mathematics; Conjecture; Rank (graph theory); Absolute continuity; Type (biology); Pure mathematics; Mathematical analysis; Symmetric space; Combinatorics","score_opus":0.02960800788350216,"score_gpt":0.29098497311211824,"score_spread":0.2613769652286161,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071833839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66161865,0.0017458735,0.30201462,0.0018611668,0.00028486893,0.000035826277,0.00030257914,0.00021291518,0.0319235],"genre_scores_gemma":[0.96085113,0.0010344721,0.02540432,0.00022723881,0.00042705808,0.00004174799,0.00025104635,0.00014604382,0.01161696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982547,0.00044199987,0.00014515572,0.00038159537,0.00049598794,0.00028045668],"domain_scores_gemma":[0.99110657,0.004034419,0.0012763195,0.0007376042,0.0012526566,0.0015924808],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0040536583,0.0009457591,0.0010740197,0.0036799842,0.0019034351,0.00503309,0.0017734043,0.0016361556,0.004301967],"category_scores_gemma":[0.011486287,0.0010525851,0.0013305899,0.0017895978,0.0052750227,0.011525906,0.0039274134,0.0032203116,0.00036373432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028629656,0.000016273856,0.00039821208,0.000016602553,0.000010465528,0.00006883602,0.00021327546,0.00047151823,0.0007066648,0.9959692,0.00018462312,0.0019157989],"study_design_scores_gemma":[0.000011783333,0.00003542595,0.0010129265,0.0000114273125,0.000011686652,0.00021109839,0.00013575585,0.011075094,0.00056037784,0.9860742,0.00084062683,0.00001968157],"about_ca_topic_score_codex":0.0015358895,"about_ca_topic_score_gemma":0.0012913566,"teacher_disagreement_score":0.00503309,"about_ca_system_score_codex":0.001975319,"about_ca_system_score_gemma":0.0011415869,"threshold_uncertainty_score":0.021438003},"labels":[],"label_agreement":null},{"id":"W2071880022","doi":"10.1016/j.jcta.2012.04.001","title":"Co-quasi-invariant spaces for generalized symmetric groups","year":2012,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Advanced Algebra and Geometry","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 du Québec à Montréal","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Invariant (physics); Quotient; Pure mathematics; Symmetric group; Diagonal; Permutation (music); Symmetric function; Combinatorics; Mathematical physics","score_opus":0.026905456412873223,"score_gpt":0.3115081288469948,"score_spread":0.2846026724341216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071880022","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75674576,0.0017651089,0.12298453,0.0034612885,0.0010084814,0.00009824596,0.00039476922,0.00041815004,0.11312367],"genre_scores_gemma":[0.9677068,0.0006215069,0.009301011,0.00032247443,0.00074024225,0.00006869794,0.00028325294,0.00008271504,0.020873345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990821,0.00021175409,0.00006126107,0.00016796445,0.00026045725,0.00021654861],"domain_scores_gemma":[0.99844486,0.000437162,0.00025087228,0.00018695966,0.00021149353,0.00046860444],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016103465,0.0012123592,0.0010074548,0.0035551197,0.0028699124,0.0047366796,0.0011664757,0.0011831186,0.008429247],"category_scores_gemma":[0.0016838064,0.00053577416,0.001151007,0.0019519067,0.0047170594,0.005688614,0.002682233,0.0026167575,0.0007248593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017307455,0.00001548189,0.00012295028,0.000008587779,0.0000048949987,0.000039535254,0.00014597784,0.0001458626,0.00043507447,0.9977456,0.00020135433,0.0011173391],"study_design_scores_gemma":[0.000019936198,0.0000231902,0.0002665519,0.000004773694,0.000009120608,0.000064252796,0.00013432771,0.0014659,0.00030702972,0.9962894,0.001404745,0.000010837883],"about_ca_topic_score_codex":0.0017636509,"about_ca_topic_score_gemma":0.0019196019,"teacher_disagreement_score":0.008429247,"about_ca_system_score_codex":0.0017776154,"about_ca_system_score_gemma":0.0009484889,"threshold_uncertainty_score":0.02819866},"labels":[],"label_agreement":null},{"id":"W2072821155","doi":"10.1016/j.jpaa.2006.07.002","title":"Intersection of conjugacy classes with Bruhat cells in Chevalley groups: The cases <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>K</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>,</mml:mo><mml:mi>G</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>K</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>","year":2006,"lang":"lv","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Foundation for Fundamental Investigations","keywords":"Intersection (aeronautics); Conjugacy class; Mathematics; Class (philosophy); Combinatorics; Computer science; Artificial intelligence","score_opus":0.015014291890737696,"score_gpt":0.23905249795303335,"score_spread":0.22403820606229566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072821155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7491043,0.00054038863,0.048459664,0.0012854735,0.00024057901,0.000104457584,0.0003928493,0.0003492468,0.19952305],"genre_scores_gemma":[0.9628218,0.00033331502,0.0055306777,0.000153344,0.00021166052,0.00009958947,0.00050124293,0.00015503545,0.030193478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824095,0.00034376813,0.00010970559,0.00024670697,0.00041558713,0.00064333394],"domain_scores_gemma":[0.9974704,0.0012171338,0.00031128718,0.00027190076,0.00026769756,0.00046170436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013703163,0.00082047255,0.000996647,0.0029702983,0.004502259,0.0074087456,0.00083427265,0.001608523,0.017102022],"category_scores_gemma":[0.003999615,0.0007471136,0.0013173447,0.0020638981,0.0054472955,0.0061307424,0.004591832,0.0026986198,0.003327739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001604211,0.00004078302,0.0010142445,0.000029522349,0.000014769813,0.0002004889,0.00072436966,0.0005370427,0.00080928626,0.9884984,0.0011398891,0.0068307957],"study_design_scores_gemma":[0.000079409736,0.00006477984,0.0015236422,0.000037899863,0.000027631779,0.00038146312,0.00082371366,0.0045340066,0.004428733,0.9781904,0.009857632,0.0000505961],"about_ca_topic_score_codex":0.0026079586,"about_ca_topic_score_gemma":0.0015587987,"teacher_disagreement_score":0.017102022,"about_ca_system_score_codex":0.002160482,"about_ca_system_score_gemma":0.0010249615,"threshold_uncertainty_score":0.057211995},"labels":[],"label_agreement":null},{"id":"W2073088058","doi":"10.1007/s002220000104","title":"Bounds for automorphic L-functions. III","year":2001,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":77,"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; Automorphic form; Pure mathematics; Langlands–Shahidi method; Automorphic L-function","score_opus":0.07921975690569777,"score_gpt":0.3505667653048377,"score_spread":0.27134700839913994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073088058","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05238156,0.020184359,0.28758982,0.011535598,0.0027279553,0.000046811936,0.0011849691,0.0011607372,0.6231883],"genre_scores_gemma":[0.7557342,0.008618704,0.053861924,0.004234395,0.0043892474,0.00023305703,0.0014537706,0.0011297498,0.17034501],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985495,0.00031959522,0.00006974389,0.00033864577,0.00045288855,0.00026958107],"domain_scores_gemma":[0.99597675,0.0019445815,0.00027180449,0.0005698801,0.0008640569,0.0003728789],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018742702,0.0010784243,0.00086250465,0.003711295,0.0014553554,0.004771781,0.0012727178,0.001270617,0.027917897],"category_scores_gemma":[0.0077704713,0.000432715,0.0011383157,0.0018939422,0.002322917,0.008383902,0.0040025283,0.0051011466,0.007974544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003128328,0.00001603246,0.000293186,0.000081538274,0.000019672663,0.000036189464,0.00011648162,0.00046455683,0.0008138807,0.97349304,0.011872109,0.012761998],"study_design_scores_gemma":[0.000004196717,0.000012331731,0.0004446858,0.0000559415,0.000012201228,0.000069407586,0.000050368555,0.0022366017,0.00067894394,0.9799968,0.016427334,0.0000111199015],"about_ca_topic_score_codex":0.0011031915,"about_ca_topic_score_gemma":0.0009805603,"teacher_disagreement_score":0.027917897,"about_ca_system_score_codex":0.0025418364,"about_ca_system_score_gemma":0.0006646617,"threshold_uncertainty_score":0.09339464},"labels":[],"label_agreement":null},{"id":"W2073445495","doi":"10.1007/s00209-007-0297-y","title":"Spanning L 2 of a nilpotent Lie group by eigenvectors of invariant differential operators","year":2008,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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":"Saint Paul University","funders":"","keywords":"Mathematics; Nilpotent; Lie group; Invariant (physics); Pure mathematics; Eigenvalues and eigenvectors; Unitary representation; Abelian group; Invariant subspace; Differential operator; Central series; Adjoint representation; Lie theory; Combinatorics; Nilpotent group; Linear subspace; Adjoint representation of a Lie algebra; Mathematical physics; Lie conformal algebra","score_opus":0.030938712983583094,"score_gpt":0.26849035658770776,"score_spread":0.23755164360412467,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073445495","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8357964,0.0003826815,0.12853067,0.0005857308,0.00036136643,0.0000875213,0.0001582518,0.00035822083,0.033739205],"genre_scores_gemma":[0.95617855,0.00020064438,0.016621603,0.0002818669,0.00022853288,0.00008274687,0.00019756984,0.00020427028,0.026004143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994679,0.00013533402,0.000024378354,0.00011127581,0.0001242934,0.00013684366],"domain_scores_gemma":[0.99955314,0.000064095104,0.000096211355,0.00003325007,0.00006519958,0.00018820264],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053583365,0.0011891287,0.0007512423,0.0024477865,0.0016494995,0.0022425682,0.001032897,0.0014273545,0.0045339274],"category_scores_gemma":[0.0007976153,0.0005308102,0.00075248396,0.0008330473,0.0019421024,0.0021514446,0.0018938702,0.0011768821,0.0010004486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011475932,0.00008404528,0.00048089976,0.000038552636,0.000025445648,0.00048363887,0.0006373527,0.003118603,0.016252981,0.9713397,0.001087651,0.006336394],"study_design_scores_gemma":[0.000045319703,0.00010082779,0.00071216223,0.000016228936,0.000011711235,0.000462231,0.0002946756,0.023685645,0.0026156744,0.96968675,0.0023285577,0.00004021737],"about_ca_topic_score_codex":0.00071331253,"about_ca_topic_score_gemma":0.00087100704,"teacher_disagreement_score":0.0045339274,"about_ca_system_score_codex":0.00082267367,"about_ca_system_score_gemma":0.00061672996,"threshold_uncertainty_score":0.015167475},"labels":[],"label_agreement":null},{"id":"W2073491905","doi":"10.4153/cjm-2000-026-4","title":"Symplectic Geometry of the Moduli Space of Flat Connections on a Riemann Surface: Inductive Decompositions and Vanishing Theorems","year":2000,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Mathematical Society; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Moduli space; Riemann surface; Pure mathematics; Symplectic geometry; Cohomology; Moduli of algebraic curves; Mathematical analysis; Fundamental group; Geometry","score_opus":0.020660402989252945,"score_gpt":0.2635460073591314,"score_spread":0.24288560436987847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073491905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94648695,0.00033517074,0.021178622,0.00046035528,0.000044199878,0.00003420561,0.00007516968,0.0000783817,0.03130681],"genre_scores_gemma":[0.99210066,0.00012854428,0.002393167,0.000040479932,0.000050374823,0.000013227564,0.000063839536,0.00001682345,0.0051929406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996624,0.000047601403,0.000018842446,0.000054644544,0.0001180285,0.00009860739],"domain_scores_gemma":[0.9996151,0.00007601304,0.00006553572,0.000030779513,0.00006312457,0.00014944757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051827903,0.0004679809,0.0003618561,0.0032426144,0.0014899741,0.0026144849,0.0005832951,0.000473538,0.004012183],"category_scores_gemma":[0.00083933875,0.00033174004,0.00036494544,0.00087359996,0.002586964,0.0027351698,0.002202018,0.0008592677,0.00035487354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001923133,0.00003325716,0.0011087509,0.000024676707,0.000004840566,0.00023949359,0.00067427434,0.00076887803,0.0024477972,0.990092,0.00028330338,0.004303458],"study_design_scores_gemma":[0.000021584647,0.00006964009,0.0028722116,0.000025381174,0.000014826184,0.0004291666,0.00053366355,0.014014076,0.0029248248,0.97522676,0.0038475897,0.000020257146],"about_ca_topic_score_codex":0.00081427314,"about_ca_topic_score_gemma":0.00091241376,"teacher_disagreement_score":0.004012183,"about_ca_system_score_codex":0.0011738669,"about_ca_system_score_gemma":0.00034280354,"threshold_uncertainty_score":0.013422132},"labels":[],"label_agreement":null},{"id":"W2073508539","doi":"10.1112/s146115701200112x","title":"Differential equations and expansions for quaternionic modular forms in the discriminant 6 case","year":2012,"lang":"en","type":"article","venue":"LMS Journal of Computation and Mathematics","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"","keywords":"Mathematics; Modular form; Modular elliptic curve; Discriminant; Ring (chemistry); Algebra over a field; Modular design; Quaternion algebra; Pure mathematics; Taylor series; Quaternion; Eisenstein series; Modular curve; Differential (mechanical device); Elliptic rational functions; Elliptic curve; Quarter period; Mathematical analysis; Algebra representation; Division algebra; Computer science","score_opus":0.07266096401678705,"score_gpt":0.36574026235383555,"score_spread":0.2930792983370485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073508539","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8299613,0.0010600736,0.12503895,0.00082464423,0.00022356228,0.000075159005,0.00016237055,0.00014044858,0.042513546],"genre_scores_gemma":[0.9589412,0.000607508,0.024705077,0.000089257745,0.0002030326,0.000045077344,0.000087054665,0.00007168382,0.015250065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961984,0.00007510247,0.000021760434,0.000042515163,0.00016813325,0.00007258897],"domain_scores_gemma":[0.99943024,0.00021270968,0.00011702642,0.00003732596,0.000115649906,0.000086968066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011297695,0.00046583207,0.0005423113,0.0019587416,0.0005363625,0.0013968946,0.0007036847,0.0005114726,0.0064812833],"category_scores_gemma":[0.0025772795,0.00026510263,0.00063130184,0.00076275534,0.0015400676,0.0023424267,0.0012500605,0.0011696205,0.0011060782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060198225,0.000059834718,0.0009867825,0.00006305441,0.0000107622145,0.00059255975,0.000633407,0.008865941,0.0051124226,0.97003704,0.0009989988,0.01257912],"study_design_scores_gemma":[0.00006110482,0.00008634921,0.0015124317,0.00006111654,0.000018642546,0.0006451422,0.00031244446,0.10599542,0.005281151,0.8788252,0.0071424474,0.000058617006],"about_ca_topic_score_codex":0.0004950459,"about_ca_topic_score_gemma":0.00063365814,"teacher_disagreement_score":0.0064812833,"about_ca_system_score_codex":0.0010247866,"about_ca_system_score_gemma":0.00035979357,"threshold_uncertainty_score":0.021682084},"labels":[],"label_agreement":null},{"id":"W2075650781","doi":"10.4153/cmb-2002-049-1","title":"A Note on the Automorphic Langlands Group","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Langlands program; Automorphic L-function; Langlands dual group; Langlands–Shahidi method; Group (periodic table); Complexification; Pure mathematics; Automorphic form; Extension (predicate logic); Galois group; Algebra over a field; Physics; Computer science","score_opus":0.03773787114188843,"score_gpt":0.25172305785679305,"score_spread":0.21398518671490463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075650781","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5021794,0.005550942,0.038668375,0.019839767,0.0030376532,0.00003598297,0.00015145843,0.00031534795,0.43022108],"genre_scores_gemma":[0.9659331,0.0011923182,0.0038560377,0.0006764931,0.0014679875,0.0000124485105,0.000038293463,0.000023774957,0.02679955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974424,0.00006506637,0.000009635478,0.000037628954,0.000095205025,0.000048157],"domain_scores_gemma":[0.99959105,0.00017735374,0.000043575372,0.00004539547,0.000043926433,0.00009862254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060958404,0.00026922594,0.00029494165,0.0007264426,0.0014928096,0.0016475157,0.00026484116,0.00081202574,0.006474434],"category_scores_gemma":[0.00082896615,0.00012669318,0.00028361904,0.0004610201,0.002552829,0.0018613543,0.0013303651,0.00093095005,0.00037049764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009193873,0.000007123797,0.00022847265,0.000012499219,0.000001610008,0.00015053024,0.00019560724,0.0001830979,0.00058429287,0.9935306,0.0013535311,0.0037435116],"study_design_scores_gemma":[0.000007654776,0.000027992795,0.00030521103,0.000013159557,0.0000034904958,0.00017663382,0.00012444145,0.00083238696,0.00046792306,0.9719909,0.026041891,0.000008321407],"about_ca_topic_score_codex":0.0010373386,"about_ca_topic_score_gemma":0.001266211,"teacher_disagreement_score":0.006474434,"about_ca_system_score_codex":0.0007138984,"about_ca_system_score_gemma":0.00036929557,"threshold_uncertainty_score":0.021659136},"labels":[],"label_agreement":null},{"id":"W2077685139","doi":"10.1112/s0010437x10005002","title":"Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?","year":2011,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Russian Academy of Sciences; Natural Sciences and Engineering Research Council of Canada; Russian Foundation for Fundamental Investigations; Eidgenössische Technische Hochschule Zürich; Minerva Foundation; Emory University","keywords":"Algebraic group; Reductive group; Lie algebra; Field (mathematics); Quotient; Morphism; Action (physics); Simple (philosophy); Algebra over a field; Simple Lie group","score_opus":0.06963769148734539,"score_gpt":0.34069483438916687,"score_spread":0.2710571429018215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077685139","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94667476,0.00063212565,0.017002411,0.0021806972,0.00015124699,0.000022119497,0.000092623384,0.000104060346,0.033140074],"genre_scores_gemma":[0.9966744,0.000142035,0.00079228316,0.00008753302,0.00016563725,0.0000065428753,0.000045093948,0.0000073760157,0.0020791155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996749,0.0000683453,0.0000135123755,0.00007795698,0.00008835857,0.00007702091],"domain_scores_gemma":[0.99920243,0.00025453983,0.00014251047,0.00008229323,0.00010693389,0.00021136232],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087132753,0.00041470552,0.00061736687,0.0014585855,0.0014174411,0.002656381,0.00059673697,0.0010227141,0.004039524],"category_scores_gemma":[0.0013386639,0.00022473883,0.0005392524,0.0006675285,0.0047481847,0.00516297,0.001073806,0.0011230347,0.00048590347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079292986,0.00006168528,0.00084291794,0.000050978833,0.000011820058,0.00031867,0.00037369813,0.00068763865,0.0031472351,0.9888154,0.00042485588,0.005185812],"study_design_scores_gemma":[0.00006225939,0.000078173915,0.0019340207,0.000026618396,0.000021798603,0.0005160906,0.0004895021,0.0031520154,0.0019810593,0.9885825,0.0031270746,0.000029017847],"about_ca_topic_score_codex":0.00055560784,"about_ca_topic_score_gemma":0.00030829015,"teacher_disagreement_score":0.004039524,"about_ca_system_score_codex":0.001394279,"about_ca_system_score_gemma":0.00060206227,"threshold_uncertainty_score":0.013513565},"labels":[],"label_agreement":null},{"id":"W2079628071","doi":"10.1007/s00031-013-9242-9","title":"Separable forms of $ {{\\mathbb{G}}_m} $ -ACTIONS ON $ {{\\mathbb{A}}^3} $","year":2013,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Separable space; Field (mathematics); Zero (linguistics); Action (physics); Reductive group; Group action; Group (periodic table); Pure mathematics; Combinatorics; Algebra over a field; Discrete mathematics; Group theory; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.04556323660961887,"score_gpt":0.31624856702657883,"score_spread":0.27068533041695997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079628071","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65451527,0.00045408096,0.07332603,0.003386399,0.0009999127,0.00013918916,0.0006012687,0.00076422084,0.26581368],"genre_scores_gemma":[0.8921403,0.00032337487,0.009543959,0.00074896676,0.00050736836,0.00012401919,0.00042303427,0.0005017028,0.09568709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914944,0.00014275592,0.000029909057,0.00012978578,0.00020866163,0.0003394251],"domain_scores_gemma":[0.99948907,0.00007320776,0.00011233987,0.0000577167,0.00005741246,0.0002101962],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065413245,0.0020034534,0.00091180793,0.0032932002,0.0028486645,0.0044324608,0.0016405282,0.0023738681,0.024649674],"category_scores_gemma":[0.0009111346,0.00086399633,0.0013791852,0.0015195474,0.0040675774,0.004213087,0.0033107337,0.003309711,0.003730779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003600311,0.000024042029,0.00004633148,0.0000092703,0.0000047541444,0.00006370257,0.00018957703,0.00013533492,0.0011091442,0.99589133,0.0008204944,0.0016699134],"study_design_scores_gemma":[0.000032538042,0.000030393507,0.0002444644,0.000011078718,0.000007555483,0.00012654808,0.0001801313,0.0013994245,0.0014270964,0.9935794,0.0029376955,0.000023689816],"about_ca_topic_score_codex":0.0011173045,"about_ca_topic_score_gemma":0.0013643014,"teacher_disagreement_score":0.024649674,"about_ca_system_score_codex":0.0018239539,"about_ca_system_score_gemma":0.0010436226,"threshold_uncertainty_score":0.08246142},"labels":[],"label_agreement":null},{"id":"W2080337643","doi":"10.1016/j.jalgebra.2009.12.001","title":"Character values for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"normal\">GL</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant=\"double-struck\">Z</mml:mi><mml:mo stretchy=\"false\">/</mml:mo><mml:msup><mml:mi>p</mml:mi><mml:mi>ℓ</mml:mi></mml:msup><mml:mi mathvariant=\"double-struck\">Z</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2009,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Character (mathematics); Combinatorics; Pure mathematics; Arithmetic; Geometry","score_opus":0.02041521115127836,"score_gpt":0.25687879474026937,"score_spread":0.236463583588991,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2080337643","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0070143393,0.00077641505,0.20907106,0.005711026,0.0049751326,0.00048098675,0.17342106,0.16155697,0.4369929],"genre_scores_gemma":[0.06976571,0.0011460537,0.14591333,0.0024401115,0.001457937,0.0011361443,0.24334991,0.101262726,0.43352818],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989574,0.00022454126,0.00017059667,0.00018841111,0.0003186114,0.00014049263],"domain_scores_gemma":[0.9963982,0.0010859637,0.0001763464,0.0007146492,0.0013940573,0.00023082065],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010361825,0.0018146547,0.0010676907,0.0025849985,0.0016878077,0.0046913265,0.0019052033,0.0022815436,0.4396556],"category_scores_gemma":[0.007604247,0.0011144372,0.00085303513,0.0030019274,0.00078530435,0.00822352,0.0024401995,0.0036211244,0.35242036],"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":[0.00031243137,0.00006119206,0.0006089398,0.0003926769,0.000011893265,0.00015517356,0.00044829157,0.00026969583,0.0020924513,0.072812706,0.86606055,0.056774016],"study_design_scores_gemma":[0.000032243006,0.00001434361,0.0003335621,0.000087638975,0.000006701488,0.0001527642,0.00013558057,0.0008129689,0.0036184746,0.015380364,0.97938764,0.000037777332],"about_ca_topic_score_codex":0.0024885635,"about_ca_topic_score_gemma":0.0026118997,"teacher_disagreement_score":0.4396556,"about_ca_system_score_codex":0.002343206,"about_ca_system_score_gemma":0.0011835442,"threshold_uncertainty_score":0.79926324},"labels":[],"label_agreement":null},{"id":"W2081247495","doi":"10.1215/0023608x-2009-013","title":"On L-functions of twisted 4-dimensional quaternionic Shimura varieties","year":2010,"lang":"en","type":"article","venue":"Kyoto journal of mathematics","topic":"Advanced Algebra and Geometry","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; Meromorphic function; Shimura variety; Continuation; Pure mathematics; Algebra over a field; Modular form; Computer science","score_opus":0.02574525531027767,"score_gpt":0.3007729615110305,"score_spread":0.27502770620075284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081247495","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8591558,0.0015703969,0.088515684,0.0013139716,0.00023103897,0.00004699342,0.0001109432,0.00018748618,0.04886769],"genre_scores_gemma":[0.98701674,0.0006964775,0.0047740024,0.000111243244,0.0001625229,0.000028981143,0.00005593704,0.00005157262,0.007102596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960524,0.00013355314,0.000019256566,0.000052410207,0.00008842322,0.000101077],"domain_scores_gemma":[0.99933416,0.00019660505,0.0001347628,0.00005179386,0.000115322706,0.00016736572],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010393908,0.0013381387,0.00082503783,0.0033627446,0.0014664005,0.0022164087,0.0009043985,0.0010105126,0.0049838587],"category_scores_gemma":[0.0025163505,0.00039721784,0.000981998,0.0012549692,0.0036244465,0.004293244,0.0019222128,0.001820923,0.0010750813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053388834,0.000024859153,0.00079159014,0.00007579593,0.000015211377,0.0007120773,0.0006560464,0.0027636972,0.003898345,0.9846907,0.00045712385,0.005861095],"study_design_scores_gemma":[0.000039713934,0.00005057738,0.0010258104,0.000052955325,0.000015292204,0.00058403413,0.00037541462,0.022338757,0.001894843,0.97147995,0.0021012488,0.000041441537],"about_ca_topic_score_codex":0.0008467601,"about_ca_topic_score_gemma":0.0004213762,"teacher_disagreement_score":0.0049838587,"about_ca_system_score_codex":0.0011361295,"about_ca_system_score_gemma":0.00056256703,"threshold_uncertainty_score":0.01667273},"labels":[],"label_agreement":null},{"id":"W2081641934","doi":"10.1016/j.jnt.2014.03.001","title":"Distinction of depth-zero representations","year":2014,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Unipotent; Quotient; Conjugacy class; Zero (linguistics); Irreducible representation; Pure mathematics; Reductive group; Involution (esoterism); Combinatorics; Group theory","score_opus":0.026133679746524946,"score_gpt":0.34282712813865274,"score_spread":0.31669344839212776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081641934","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39762017,0.0018523139,0.1937639,0.0069310972,0.0011805112,0.00010763782,0.00065107405,0.0005378048,0.39735553],"genre_scores_gemma":[0.9482589,0.0005330404,0.017579777,0.000935118,0.00054837187,0.00006756932,0.00038171592,0.00020372028,0.031491872],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828774,0.00038297698,0.00010251375,0.00032599256,0.0004918626,0.00040902433],"domain_scores_gemma":[0.9970517,0.0012014006,0.00023082648,0.0005081169,0.00050730153,0.00050061394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026550526,0.00075378764,0.0008530498,0.003105205,0.002630807,0.0071131163,0.001792108,0.0022008542,0.009279001],"category_scores_gemma":[0.0061566522,0.0006867861,0.0010040284,0.0015355619,0.008373336,0.014822942,0.004227904,0.0058539277,0.0012535964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010556933,0.00000416131,0.000036080874,0.000003847063,8.1921195e-7,0.000011581947,0.00011670697,0.000018055865,0.00012836764,0.99886596,0.00015964326,0.00064429746],"study_design_scores_gemma":[0.000011966949,0.000008300164,0.000093905976,0.000008209022,0.000004451359,0.000054488944,0.00008446909,0.00027013078,0.00022417426,0.99737406,0.0018595096,0.000006262372],"about_ca_topic_score_codex":0.0006808453,"about_ca_topic_score_gemma":0.00054915895,"teacher_disagreement_score":0.009279001,"about_ca_system_score_codex":0.0020072935,"about_ca_system_score_gemma":0.0009289963,"threshold_uncertainty_score":0.031041384},"labels":[],"label_agreement":null},{"id":"W2082606519","doi":"10.1016/j.geomphys.2008.07.009","title":"Pre-quantization of the moduli space of flat G-bundles over a surface","year":2008,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Advanced Algebra and Geometry","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; Moduli space; Simply connected space; Quantization (signal processing); Cohomology; Pure mathematics; Lie group; Simple Lie group; Moduli; Moduli of algebraic curves; Surface (topology); Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.025855791427859688,"score_gpt":0.2863877228328083,"score_spread":0.26053193140494857,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082606519","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9195967,0.0006588171,0.021998892,0.0019952394,0.00044226885,0.00006788489,0.0002934243,0.0003316632,0.054615103],"genre_scores_gemma":[0.980212,0.00029747354,0.0036861678,0.00024236727,0.00042995356,0.000029138218,0.00025091434,0.00007730633,0.014774694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994252,0.00010500116,0.00003323165,0.000113724265,0.00016620578,0.00015666016],"domain_scores_gemma":[0.99930966,0.00007476848,0.00008320855,0.0000723009,0.00012044492,0.0003396264],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088795216,0.0011858507,0.0012307222,0.0030610731,0.0024440414,0.00392674,0.0013167709,0.0016186576,0.010690248],"category_scores_gemma":[0.0010469831,0.000502398,0.000696846,0.0011068818,0.0035604362,0.005428411,0.0023376578,0.002108023,0.00088746456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001353162,0.000070841976,0.00049028726,0.00003258925,0.000013704574,0.00029719254,0.00038678644,0.0007599884,0.0026342345,0.99121135,0.0006750129,0.0032926803],"study_design_scores_gemma":[0.000059002814,0.00017622161,0.001724486,0.000023296294,0.000015384172,0.00035014516,0.00037996427,0.007072091,0.00094114686,0.98755556,0.0016666048,0.000036095807],"about_ca_topic_score_codex":0.001256451,"about_ca_topic_score_gemma":0.0012285016,"teacher_disagreement_score":0.010690248,"about_ca_system_score_codex":0.0015351928,"about_ca_system_score_gemma":0.0009894992,"threshold_uncertainty_score":0.03576243},"labels":[],"label_agreement":null},{"id":"W2083325692","doi":"10.1007/bf02764072","title":"Singularity of orbital measures in SU(n)","year":2002,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Mathematics; Singularity; Algebra over a field; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.07482142160349724,"score_gpt":0.31085816403103933,"score_spread":0.23603674242754208,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083325692","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90494835,0.0008146421,0.038875595,0.0016546649,0.0004658907,0.00003586672,0.000120063385,0.00024008316,0.052844834],"genre_scores_gemma":[0.9911972,0.00020711187,0.0034384676,0.00015712214,0.00029128708,0.000015342628,0.00008765738,0.00004155833,0.0045643183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995254,0.00010024482,0.000029315477,0.000061922525,0.00018178846,0.00010129966],"domain_scores_gemma":[0.9989097,0.00025171973,0.00023826597,0.00009911548,0.00013102299,0.00037021443],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011089462,0.0007726446,0.0008957168,0.0032719946,0.0026321684,0.0030485103,0.0013074246,0.0014847217,0.0033816933],"category_scores_gemma":[0.0034126248,0.00041800115,0.00069411594,0.0012413947,0.004157691,0.0035621433,0.0023088623,0.0015008529,0.00038200666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068999034,0.000028339868,0.00049668906,0.00002315975,0.000006539033,0.00021210275,0.00020690031,0.0006965759,0.0009964086,0.99462444,0.00055220997,0.002087651],"study_design_scores_gemma":[0.000024402421,0.000031604868,0.0005836102,0.000010595193,0.000006467786,0.00021635712,0.00010539901,0.0049903123,0.00023910715,0.9931803,0.0005960868,0.000015953548],"about_ca_topic_score_codex":0.0017484331,"about_ca_topic_score_gemma":0.0015386898,"teacher_disagreement_score":0.0033816933,"about_ca_system_score_codex":0.0015776572,"about_ca_system_score_gemma":0.00088019687,"threshold_uncertainty_score":0.011446774},"labels":[],"label_agreement":null},{"id":"W2084769494","doi":"10.1016/j.jalgebra.2011.04.033","title":"Plus/minus p-adic L-functions for Hilbert modular forms","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Modular form; Bounded function; Conjecture; Prime (order theory); Pure mathematics; Modular elliptic curve; Elliptic curve; Zero (linguistics); Eigenvalues and eigenvectors; Complex multiplication; Field (mathematics); Supersingular elliptic curve; Algebra over a field; Quarter period; Combinatorics; Mathematical analysis; Physics","score_opus":0.06160677335731453,"score_gpt":0.29706934709340893,"score_spread":0.23546257373609442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084769494","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57481277,0.0016668794,0.16710524,0.005306079,0.002082044,0.00013864094,0.00049369875,0.00096582324,0.2474288],"genre_scores_gemma":[0.94123495,0.0005128529,0.018425878,0.00094930164,0.0011180888,0.00009548934,0.00021867694,0.00027939506,0.037165314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990089,0.00023725811,0.00007079642,0.00018731665,0.000252077,0.00024368844],"domain_scores_gemma":[0.99879444,0.00027133033,0.0001728458,0.00012990396,0.00018333533,0.00044803895],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021578213,0.0020357284,0.00093543524,0.004707557,0.0032334188,0.0042474195,0.0020395052,0.0021994328,0.00944881],"category_scores_gemma":[0.0033923488,0.0007295892,0.0011113537,0.0016394835,0.006011543,0.009174211,0.0036751844,0.0034887814,0.0021543845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003258467,0.000014648524,0.00007749017,0.000016021468,0.000003554164,0.00008182627,0.00014057066,0.000067393485,0.0006192064,0.9956012,0.0005212851,0.0028244038],"study_design_scores_gemma":[0.000019029907,0.00001989604,0.0001286373,0.000011007438,0.000007455631,0.00024191137,0.00008384986,0.0009967912,0.00070003583,0.9963366,0.0014379997,0.000016759355],"about_ca_topic_score_codex":0.0004213716,"about_ca_topic_score_gemma":0.0004267978,"teacher_disagreement_score":0.00944881,"about_ca_system_score_codex":0.0016059887,"about_ca_system_score_gemma":0.00089621666,"threshold_uncertainty_score":0.031609356},"labels":[],"label_agreement":null},{"id":"W2084845260","doi":"10.1016/j.aim.2011.02.001","title":"Sums of adjoint orbits and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-singular dichotomy for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"italic\">SU</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2011,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjugacy class; Lie algebra; Lie group; Invariant (physics); Haar measure; Eigenvalues and eigenvectors; Pure mathematics; Algebra over a field; Mathematical physics; Physics","score_opus":0.021236505844735517,"score_gpt":0.25793173381609286,"score_spread":0.23669522797135734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084845260","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19209497,0.0013426439,0.22443917,0.003469155,0.0013685391,0.00009630179,0.0019520129,0.0019035622,0.5733337],"genre_scores_gemma":[0.81939197,0.0007168826,0.03345608,0.00075959816,0.0008090374,0.00011739764,0.0027414665,0.0011998977,0.14080763],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987613,0.00023113209,0.00008270755,0.00021563304,0.00045331367,0.00025595853],"domain_scores_gemma":[0.99884593,0.0003807127,0.00008890037,0.00012620886,0.0003426882,0.00021550844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009371767,0.0005764192,0.00069399324,0.0024144242,0.0026221792,0.0038336343,0.00054427655,0.00065807055,0.032929033],"category_scores_gemma":[0.0024551116,0.00034331,0.0010479335,0.0009750716,0.0025888314,0.0054306276,0.0032996812,0.0024662416,0.0059416327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005044152,0.000023807966,0.00030886775,0.00004335296,0.00000941043,0.00010102018,0.00028898873,0.00023931405,0.0006525069,0.9808972,0.0072048446,0.010180124],"study_design_scores_gemma":[0.000015558062,0.000024907991,0.0008488786,0.000036900903,0.000016544613,0.00023288926,0.0003285844,0.0023596936,0.002397371,0.9676751,0.026036939,0.000026624693],"about_ca_topic_score_codex":0.0010057377,"about_ca_topic_score_gemma":0.0011574593,"teacher_disagreement_score":0.032929033,"about_ca_system_score_codex":0.0012179565,"about_ca_system_score_gemma":0.00081037916,"threshold_uncertainty_score":0.11015856},"labels":[],"label_agreement":null},{"id":"W2086364527","doi":"10.1016/j.jnt.2012.03.004","title":"On the critical points of modular forms","year":2012,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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; SL2(R); Modular design; Modular group; Modular form; Simple (philosophy); Pure mathematics; Combinatorics; Algebra over a field; Computer science","score_opus":0.03331454024319176,"score_gpt":0.3468431188295137,"score_spread":0.31352857858632194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086364527","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7407486,0.0042200256,0.054041572,0.0061813253,0.0008231355,0.000092261864,0.00014799838,0.00030962605,0.19343543],"genre_scores_gemma":[0.9752955,0.0011428436,0.004587271,0.00030101233,0.0009659735,0.00006027272,0.000107897606,0.00009923371,0.01744001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950385,0.00015778959,0.000020255742,0.000062543644,0.0001255937,0.00013000365],"domain_scores_gemma":[0.99766684,0.000977552,0.00030895675,0.00014871173,0.0003353264,0.00056261185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017118067,0.0013682031,0.0014166968,0.005802034,0.0029758147,0.003437078,0.0015248901,0.0017827961,0.008677675],"category_scores_gemma":[0.00806903,0.00067351776,0.0007312242,0.0016947178,0.006183708,0.005479981,0.0032052777,0.0031070907,0.00078322605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003423353,0.000014343805,0.00015835356,0.000019676985,0.0000047639564,0.00008392355,0.00018663236,0.0004889479,0.00031814762,0.9962864,0.00063540024,0.0017691066],"study_design_scores_gemma":[0.000024105855,0.000013042812,0.00018365015,0.000017458704,0.0000041022204,0.000068810106,0.00008109196,0.0022056426,0.00014325703,0.9964644,0.0007876921,0.0000068018276],"about_ca_topic_score_codex":0.00091652456,"about_ca_topic_score_gemma":0.0007665276,"teacher_disagreement_score":0.008677675,"about_ca_system_score_codex":0.0019961086,"about_ca_system_score_gemma":0.00078160287,"threshold_uncertainty_score":0.029029667},"labels":[],"label_agreement":null},{"id":"W2086627740","doi":"10.1063/1.3377924","title":"Two-by-two random matrix theory with matrix representations of octonions","year":2010,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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":"Christie (Canada)","funders":"","keywords":"Random matrix; Matrix (chemical analysis); Mathematics; Pure mathematics; Centrosymmetric matrix; Algebra over a field; Symmetric matrix; Connection (principal bundle); State-transition matrix; Quantum mechanics; Physics; Eigenvalues and eigenvectors; Geometry","score_opus":0.014946566098161461,"score_gpt":0.3551546814731322,"score_spread":0.34020811537497075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086627740","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18802972,0.0024325217,0.68846726,0.0030867583,0.0012048448,0.00021597683,0.00024111826,0.0005546601,0.11576721],"genre_scores_gemma":[0.8840932,0.0010979787,0.07812211,0.00093289197,0.00068686885,0.0002720792,0.00016985864,0.00023570823,0.03438926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991929,0.00030681238,0.000029031004,0.000088904024,0.00022878096,0.00015348484],"domain_scores_gemma":[0.99885404,0.00039240977,0.00016613425,0.00025834402,0.00012829684,0.00020082663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001228174,0.00097404525,0.001566944,0.0012750402,0.0013731885,0.003099514,0.0022219995,0.0025911506,0.00666488],"category_scores_gemma":[0.002104943,0.0005656953,0.0015145577,0.0008990146,0.0028903848,0.0038251774,0.0015269003,0.0024822187,0.0009484599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000137126535,0.0000137557845,0.00003674413,0.000014706563,0.000004802447,0.00007867207,0.000029196523,0.00810669,0.00066877954,0.99015135,0.0003693378,0.00051218824],"study_design_scores_gemma":[0.000028504752,0.00003671875,0.00009927403,0.000012055315,0.0000067382384,0.000182795,0.000038486534,0.2589681,0.00046405432,0.7386383,0.0014854299,0.000039496805],"about_ca_topic_score_codex":0.0012230404,"about_ca_topic_score_gemma":0.00109854,"teacher_disagreement_score":0.00666488,"about_ca_system_score_codex":0.0012580701,"about_ca_system_score_gemma":0.00088777917,"threshold_uncertainty_score":0.02229619},"labels":[],"label_agreement":null},{"id":"W2087206900","doi":"10.1090/s0002-9947-08-04530-3","title":"Small principal series and exceptional duality for two simply laced exceptional groups","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Mathematics; Unitary state; Rank (graph theory); Series (stratigraphy); Representation theory of SU; Degenerate energy levels; Pure mathematics; Simple (philosophy); Duality (order theory); Classical group; Principal (computer security); Irreducible representation; Group (periodic table); Lie group; Algebra over a field; Combinatorics; Fundamental representation; Lie algebra","score_opus":0.05807012084585254,"score_gpt":0.3187690379938011,"score_spread":0.2606989171479485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087206900","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6229178,0.00046688426,0.16782075,0.0016208354,0.00063013996,0.000106323634,0.00018287245,0.00065356144,0.20560081],"genre_scores_gemma":[0.96071535,0.00017972192,0.015030278,0.00019476081,0.00021834488,0.000043167583,0.00008624929,0.00011310235,0.023419028],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924266,0.00018318197,0.00003894601,0.00012762284,0.00023533258,0.00017218564],"domain_scores_gemma":[0.9993912,0.0001270711,0.000104069186,0.00006905264,0.00008643772,0.00022207206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083844905,0.0006574306,0.00046668542,0.0022068806,0.0014443004,0.003280099,0.00064458646,0.00076434773,0.00689891],"category_scores_gemma":[0.0018653735,0.00022412022,0.0007363577,0.00077361707,0.0040130997,0.0037271548,0.0024895938,0.0016456791,0.0010000445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008826525,0.000008122866,0.0000687323,0.0000058757532,0.0000013414065,0.00006215939,0.00017474663,0.00016171257,0.00038295056,0.9973634,0.00018685192,0.0015753256],"study_design_scores_gemma":[0.000014015791,0.000042474156,0.00020342013,0.000010131846,0.0000044519816,0.00021159167,0.00027097878,0.0031498126,0.0010886064,0.9903702,0.0046174615,0.000016870772],"about_ca_topic_score_codex":0.00058644195,"about_ca_topic_score_gemma":0.00040949386,"teacher_disagreement_score":0.00689891,"about_ca_system_score_codex":0.0011720418,"about_ca_system_score_gemma":0.0005593275,"threshold_uncertainty_score":0.023079157},"labels":[],"label_agreement":null},{"id":"W2087452275","doi":"10.1142/s0129167x01001118","title":"ARITHMETIC ON A QUINTIC THREEFOLD","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Modular form; Quintic function; Galois module; Pure mathematics; Cohomology; Algebra over a field; Eisenstein series; Quaternion algebra; Algebra representation; Cellular algebra","score_opus":0.047902399457582116,"score_gpt":0.3585166179554064,"score_spread":0.3106142184978243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087452275","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89211404,0.00061307097,0.015246289,0.0012679833,0.00017200503,0.000024380965,0.000057761306,0.00012146328,0.090383105],"genre_scores_gemma":[0.990949,0.00021165739,0.002090562,0.00006668866,0.00014728037,0.000008145148,0.000035741545,0.00001354166,0.006477339],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999747,0.00007401453,0.0000117061445,0.000035012108,0.000077067896,0.00005524107],"domain_scores_gemma":[0.9998023,0.000046480218,0.000039054325,0.000021321066,0.000042501924,0.000048270882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046210512,0.0004156346,0.0003472321,0.00142574,0.0014096912,0.0018871867,0.00035423957,0.0005238341,0.004368013],"category_scores_gemma":[0.0007104039,0.00017676468,0.00038747853,0.00050653407,0.0025553957,0.0016998063,0.0009025924,0.0006461993,0.0005190824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007417176,0.000024431904,0.00091782305,0.000056318033,0.00000789764,0.00075987016,0.00078273704,0.0040899026,0.0050013713,0.9802325,0.00091537327,0.0071375403],"study_design_scores_gemma":[0.000028470477,0.00017450114,0.0032356337,0.00003999019,0.0000160878,0.0009491785,0.0007732177,0.015668653,0.0019887146,0.9680043,0.009080792,0.000040566443],"about_ca_topic_score_codex":0.0009348753,"about_ca_topic_score_gemma":0.00046434693,"teacher_disagreement_score":0.004368013,"about_ca_system_score_codex":0.00081952044,"about_ca_system_score_gemma":0.00027160405,"threshold_uncertainty_score":0.014612436},"labels":[],"label_agreement":null},{"id":"W2087520687","doi":"10.1353/ajm.2013.0039","title":"A uniform spectral gap for congruence covers of a hyperbolic manifold","year":2013,"lang":"en","type":"preprint","venue":"American Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Backslash; Congruence (geometry); Ramanujan's sum; Mathematics; Lattice (music); Congruence subgroup; Pure mathematics; Combinatorics; Spectral gap; Mathematical analysis; Geometry; Physics","score_opus":0.040183641770311154,"score_gpt":0.3213178651855273,"score_spread":0.28113422341521616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087520687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79645437,0.0014614338,0.09769377,0.0020316644,0.0002834881,0.000039143953,0.00023221206,0.00032591276,0.10147788],"genre_scores_gemma":[0.9867034,0.00033755726,0.007860557,0.00020978582,0.00022853643,0.000045895413,0.00018235046,0.00009453029,0.0043374505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983505,0.0003138623,0.00008826137,0.00036280404,0.00046158626,0.0004230211],"domain_scores_gemma":[0.9974361,0.0011659984,0.00024165577,0.0002967265,0.00022672358,0.0006328795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012270976,0.000779557,0.0009116786,0.002320954,0.0025925643,0.00322202,0.0012841087,0.0011610471,0.0068539167],"category_scores_gemma":[0.0051317373,0.00050928345,0.00063776475,0.0008611574,0.0039033995,0.006865043,0.004506489,0.0023208184,0.0007956249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061541046,0.000028971182,0.00064662535,0.000042373413,0.0000066209245,0.000087145905,0.00033165945,0.00085881643,0.0016815749,0.9926461,0.00068036595,0.0029282623],"study_design_scores_gemma":[0.000021630029,0.000044699416,0.0006995813,0.00003420105,0.000015898719,0.00020947788,0.0003603881,0.018008327,0.0027994623,0.97474176,0.0030445051,0.00002001153],"about_ca_topic_score_codex":0.00052407105,"about_ca_topic_score_gemma":0.0005157197,"teacher_disagreement_score":0.0068539167,"about_ca_system_score_codex":0.0014306061,"about_ca_system_score_gemma":0.00040274044,"threshold_uncertainty_score":0.022928596},"labels":[],"label_agreement":null},{"id":"W2088836816","doi":"10.4171/owr/2011/14","title":"Automorphic Forms: New Directions","year":2011,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Advanced Algebra and Geometry","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":"Automorphic form; Langlands–Shahidi method; Mathematics; Automorphic L-function; Modular form; Pure mathematics; Conjecture; Mathematical proof; Algebra over a field; TRACE (psycholinguistics); Linguistics; Geometry","score_opus":0.07644206231743561,"score_gpt":0.2981332152572732,"score_spread":0.2216911529398376,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088836816","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020799167,0.49702606,0.07123651,0.19151975,0.03428234,0.000054218526,0.00046791698,0.0006122468,0.1840018],"genre_scores_gemma":[0.35336608,0.34365416,0.057807803,0.039868083,0.09163485,0.00021084829,0.0008299988,0.0005257892,0.11210242],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881375,0.0003960828,0.00007396957,0.00021923213,0.00038280187,0.000114159935],"domain_scores_gemma":[0.9971923,0.001266811,0.00012612279,0.000413547,0.00057999557,0.00042119026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0039989064,0.0009169744,0.0011261351,0.0024392665,0.0014125792,0.0045383754,0.0010664855,0.0033131249,0.013244721],"category_scores_gemma":[0.003597371,0.00047358224,0.00076251547,0.0014950011,0.005721172,0.018863134,0.0033379474,0.007171237,0.0025468257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037377,0.00005047231,0.00018512357,0.0003355979,0.000010577129,0.00010476923,0.00037803943,0.0003089325,0.00036851942,0.90422916,0.029178282,0.06481326],"study_design_scores_gemma":[0.000017632781,0.000048840488,0.00016145475,0.0001624463,0.000005346812,0.0002145355,0.0002855149,0.0006876921,0.00014336026,0.78147435,0.2167783,0.000020598205],"about_ca_topic_score_codex":0.0006010864,"about_ca_topic_score_gemma":0.00074504677,"teacher_disagreement_score":0.013244721,"about_ca_system_score_codex":0.001745546,"about_ca_system_score_gemma":0.0010219071,"threshold_uncertainty_score":0.044308007},"labels":[],"label_agreement":null},{"id":"W2089158521","doi":"10.1006/jfan.1999.3505","title":"Heat Kernel Analysis and Cameron–Martin Subgroup for Infinite Dimensional Groups","year":2000,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Mathematics; Holomorphic function; Isometry (Riemannian geometry); Pure mathematics; Hilbert space; Tensor product; Isometry group; Symplectic geometry; Invertible matrix; Algebra over a field","score_opus":0.019851504573336107,"score_gpt":0.27487363336178444,"score_spread":0.2550221287884483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089158521","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75298214,0.0019268921,0.18682268,0.0058470354,0.00055186806,0.00007093174,0.00019743835,0.00030001497,0.051301032],"genre_scores_gemma":[0.9735025,0.0006676206,0.007977273,0.00033873643,0.0007777772,0.000054758304,0.000103799706,0.00007437044,0.01650316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993923,0.0002017336,0.00002857632,0.00010329054,0.00013495107,0.00013911702],"domain_scores_gemma":[0.99733424,0.0010278713,0.00043341637,0.00027429944,0.00033315338,0.0005971405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020612266,0.0011477136,0.0017776443,0.0038716893,0.0023537076,0.0029671465,0.0013481112,0.0020245113,0.005921577],"category_scores_gemma":[0.0051265713,0.00047859576,0.001251284,0.0016191956,0.005330572,0.005841592,0.0025158334,0.0027755522,0.00041652107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000196868,0.000011450053,0.00011297995,0.000009825613,0.0000052998935,0.000030134004,0.00016957487,0.00041506122,0.0003264451,0.9978733,0.00021084638,0.0008154063],"study_design_scores_gemma":[0.000009807316,0.00001320464,0.00018070675,0.000004287565,0.0000052415244,0.000035485635,0.00005645465,0.006040635,0.00016607494,0.9929196,0.0005567341,0.000011750903],"about_ca_topic_score_codex":0.002258999,"about_ca_topic_score_gemma":0.0010297181,"teacher_disagreement_score":0.005921577,"about_ca_system_score_codex":0.0021400738,"about_ca_system_score_gemma":0.00096307934,"threshold_uncertainty_score":0.019809604},"labels":[],"label_agreement":null},{"id":"W2090313327","doi":"10.1007/s00229-012-0545-2","title":"A remark on the failure of multiplicity one for GSp(4)","year":2012,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Multiplicity (mathematics); Algebraic geometry; Number theory; Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.142697947593478,"score_gpt":0.3236082893562442,"score_spread":0.18091034176276619,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090313327","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1594568,0.0027793613,0.20306553,0.08140965,0.0124483025,0.00025351217,0.0015614738,0.0040651346,0.5349602],"genre_scores_gemma":[0.868953,0.001262071,0.046912238,0.008784637,0.0037593665,0.000459001,0.00066996546,0.00111232,0.06808742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956756,0.0011482219,0.0002900673,0.0009520315,0.0010653852,0.0008686838],"domain_scores_gemma":[0.9942416,0.0024096488,0.00039692246,0.0013408966,0.00081532844,0.00079559453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0050918767,0.002044847,0.0026709018,0.003123809,0.00782385,0.004510803,0.0043379148,0.0056159208,0.030784834],"category_scores_gemma":[0.0137697365,0.00087107264,0.0023467354,0.0019459764,0.013180066,0.012562973,0.00904327,0.0123365875,0.0052706706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000608758,0.000018477134,0.00022323192,0.000086544154,0.000010171873,0.00016526421,0.00043063605,0.00019538676,0.00029204172,0.98704773,0.008221616,0.0032479002],"study_design_scores_gemma":[0.00002498388,0.000021686756,0.00017306958,0.000023806568,0.000008443803,0.00018070063,0.000074652846,0.00054967473,0.00035828617,0.99125403,0.0073010847,0.000029502284],"about_ca_topic_score_codex":0.0015582792,"about_ca_topic_score_gemma":0.000874934,"teacher_disagreement_score":0.030784834,"about_ca_system_score_codex":0.0014350845,"about_ca_system_score_gemma":0.0015879151,"threshold_uncertainty_score":0.10298556},"labels":[],"label_agreement":null},{"id":"W2090338445","doi":"10.1007/s13226-014-0086-3","title":"Fourier coefficients of forms of CM-type","year":2014,"lang":"en","type":"article","venue":"Indian Journal of Pure and Applied Mathematics","topic":"Advanced Algebra and Geometry","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":"Divisibility rule; Mathematics; Fourier series; Fourier transform; Type (biology); Pure mathematics; Combinatorics; Arithmetic; Discrete mathematics; Mathematical analysis","score_opus":0.016567795267818756,"score_gpt":0.2723732891898736,"score_spread":0.2558054939220548,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090338445","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65804744,0.002128105,0.17935976,0.0020936248,0.0016886536,0.000078363264,0.00041053584,0.0003831601,0.15581031],"genre_scores_gemma":[0.93845826,0.0011064495,0.018314196,0.00032953187,0.001002192,0.00005955812,0.0003125781,0.00025859472,0.04015874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994293,0.00014990379,0.000024410214,0.00009250827,0.00017744445,0.00012640668],"domain_scores_gemma":[0.99828833,0.00061350904,0.00027757135,0.00016311975,0.00030790284,0.0003496196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093275454,0.0012801187,0.0005321367,0.0033102052,0.00078312936,0.0020350737,0.001208773,0.0013082911,0.013178832],"category_scores_gemma":[0.0054916334,0.00037670627,0.00057972054,0.0019528656,0.002012603,0.0030166295,0.0017201933,0.0019998509,0.0014353921],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015373394,0.000056769655,0.0007866225,0.00010514504,0.000017765306,0.0004027657,0.00038018593,0.0013193232,0.0074607087,0.9701375,0.002276667,0.016902803],"study_design_scores_gemma":[0.000053190288,0.000086961896,0.0040492043,0.00010164065,0.000032032283,0.002859898,0.00047974984,0.030056987,0.004243123,0.9489596,0.008986063,0.00009150821],"about_ca_topic_score_codex":0.00046072158,"about_ca_topic_score_gemma":0.00043625204,"teacher_disagreement_score":0.013178832,"about_ca_system_score_codex":0.0007641689,"about_ca_system_score_gemma":0.00046463514,"threshold_uncertainty_score":0.04408759},"labels":[],"label_agreement":null},{"id":"W2090657605","doi":"10.1006/aama.2001.0787","title":"Spaces of Lattice Diagram Polynomials in One Set of Variables","year":2002,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Advanced Algebra and Geometry","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":"York University","funders":"","keywords":"Mathematics; Combinatorics; Partition (number theory); Lattice (music); Pure mathematics","score_opus":0.047026066640729565,"score_gpt":0.3072990137613018,"score_spread":0.26027294712057225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090657605","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40756476,0.0018356116,0.4514548,0.0039808457,0.0014824888,0.00014130562,0.0012079071,0.001244114,0.13108824],"genre_scores_gemma":[0.9050911,0.0008359621,0.05426549,0.0005755416,0.0009227667,0.0001460544,0.00069721043,0.00039437137,0.037071478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981944,0.0005076394,0.00005791016,0.0003434596,0.0005027776,0.00039383603],"domain_scores_gemma":[0.9982444,0.0006148899,0.00025774818,0.00018943382,0.0002402727,0.0004532796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014866309,0.0009694392,0.0013328043,0.0030445927,0.0021210297,0.0051724473,0.0017968502,0.0012622048,0.010413895],"category_scores_gemma":[0.0029169854,0.00057960505,0.0011883293,0.0020458992,0.0049252487,0.008094752,0.002723195,0.0037646466,0.00196808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003174864,0.000013841267,0.000048594444,0.000015540147,0.000004005858,0.000040765404,0.00013389591,0.00029087535,0.0002792747,0.9965905,0.0004048836,0.0021460603],"study_design_scores_gemma":[0.000031343465,0.000019526966,0.00008901494,0.000007752483,0.000005975744,0.00012183668,0.00010522828,0.0026333577,0.00046948262,0.9941328,0.002367202,0.000016503305],"about_ca_topic_score_codex":0.0011925879,"about_ca_topic_score_gemma":0.00083452783,"teacher_disagreement_score":0.010413895,"about_ca_system_score_codex":0.001817739,"about_ca_system_score_gemma":0.001144379,"threshold_uncertainty_score":0.0348379},"labels":[],"label_agreement":null},{"id":"W2090762223","doi":"10.1006/jnth.1999.2446","title":"Tate Cycles on a Product of Two Hilbert Modular Surfaces","year":2000,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Modular design; Pure mathematics; Product (mathematics); Geometry; Computer science; Programming language","score_opus":0.02158316226651986,"score_gpt":0.32431840441110077,"score_spread":0.3027352421445809,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090762223","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89907825,0.0004638987,0.038833156,0.0010454339,0.00034238826,0.00008941707,0.00013858607,0.00020406046,0.059804786],"genre_scores_gemma":[0.9673186,0.00019416245,0.007622296,0.00016551369,0.00016280255,0.000049669972,0.00009664406,0.00013747501,0.024252793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999097,0.00016631163,0.0000451727,0.00015455141,0.00026033993,0.0002767029],"domain_scores_gemma":[0.999076,0.00022036054,0.00016141428,0.00011173923,0.00012972069,0.00030082796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008027067,0.0011523109,0.0012328693,0.003610475,0.00297361,0.004597391,0.0011580659,0.002017631,0.009327208],"category_scores_gemma":[0.0017671097,0.0010947154,0.0012928089,0.001877486,0.0036707316,0.005474439,0.0035213935,0.0022856938,0.0010064092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059675454,0.000033570548,0.00030999028,0.00001556092,0.000014792731,0.00041136716,0.0004903424,0.0006002165,0.0016321973,0.9937668,0.00045909992,0.0022065777],"study_design_scores_gemma":[0.000036616886,0.00005859671,0.00065263454,0.000017281769,0.000019190808,0.00051243836,0.0002815723,0.0045711584,0.00112108,0.98964757,0.003048933,0.000032850814],"about_ca_topic_score_codex":0.0008773512,"about_ca_topic_score_gemma":0.0009586223,"teacher_disagreement_score":0.009327208,"about_ca_system_score_codex":0.0016978607,"about_ca_system_score_gemma":0.0007104225,"threshold_uncertainty_score":0.031202614},"labels":[],"label_agreement":null},{"id":"W2091150184","doi":"10.4153/cjm-2009-044-1","title":"Twisted Gross–Zagier Theorems","year":2009,"lang":"en","type":"preprint","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Mathematical Society; National Science Foundation","keywords":"Mathematics; Complex multiplication; Pure mathematics; Multiplication (music); Automorphic form; Modular form; Modular design; Algebra over a field; Shimura variety; Arithmetic; Computer science; Elliptic curve; Combinatorics; Programming language","score_opus":0.05303721993950206,"score_gpt":0.3133466601085148,"score_spread":0.26030944016901275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091150184","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72315574,0.0011070872,0.061417013,0.0016376268,0.00027354664,0.000037955146,0.0004403703,0.00040588726,0.21152478],"genre_scores_gemma":[0.9812292,0.00035510602,0.0046478542,0.00017747744,0.00012193669,0.000016986167,0.00011445197,0.000039503706,0.013297524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969447,0.000041144052,0.000012042863,0.000062994695,0.0001109182,0.000078471916],"domain_scores_gemma":[0.999627,0.00007834466,0.000059098922,0.00006409012,0.000064227606,0.00010721832],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005306759,0.00042520792,0.00044591245,0.0015717512,0.00096380996,0.0017453574,0.00045377685,0.0003849238,0.0066068247],"category_scores_gemma":[0.0011106742,0.00019009369,0.00045426245,0.0007851099,0.002021729,0.0021424233,0.002194756,0.0013751776,0.0007760219],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015265266,0.0000045586776,0.0004083706,0.0000130881435,0.0000043132386,0.0000825301,0.00012687346,0.00044770693,0.0005186332,0.9941855,0.0006491533,0.0035441366],"study_design_scores_gemma":[0.000021526052,0.000016542857,0.0014280651,0.000012075758,0.000010835299,0.00038312963,0.000113238966,0.003262427,0.001152744,0.98679733,0.0067887777,0.000013330568],"about_ca_topic_score_codex":0.0006401181,"about_ca_topic_score_gemma":0.00048314416,"teacher_disagreement_score":0.0066068247,"about_ca_system_score_codex":0.0012014741,"about_ca_system_score_gemma":0.00027324815,"threshold_uncertainty_score":0.022101998},"labels":[],"label_agreement":null},{"id":"W2091336098","doi":"10.1007/s00208-004-0529-y","title":"Construction of some families of 2-dimensional crystalline representations","year":2004,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":85,"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; Toronto Metropolitan University","funders":"","keywords":"Mathematics; Modulo; Construct (python library); Pure mathematics; Modular design; Algebra over a field; Modular form; Discrete mathematics; Computer science","score_opus":0.03537824376969225,"score_gpt":0.32061539040530124,"score_spread":0.285237146635609,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091336098","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.733562,0.0005625415,0.15001424,0.0011984516,0.00023920735,0.00012818679,0.00055964815,0.00045801513,0.11327784],"genre_scores_gemma":[0.92853737,0.0003977824,0.034330204,0.00031488278,0.000114723785,0.00022084716,0.00054056576,0.0001680857,0.03537564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999561,0.00009774373,0.00002491024,0.00007909967,0.00010216177,0.00013511784],"domain_scores_gemma":[0.99943095,0.00016597929,0.000074689684,0.000090841735,0.00008790177,0.00014959942],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067637156,0.0006487478,0.0006464845,0.0022174201,0.0025466792,0.0027181685,0.000819351,0.0012528517,0.007858908],"category_scores_gemma":[0.0014733872,0.0006414433,0.0010110625,0.0015392042,0.0017346134,0.002419821,0.0019127777,0.0016417087,0.000733684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024412375,0.000022243326,0.0003146329,0.000021157719,0.000008964578,0.00025486117,0.0003725289,0.0005735903,0.0015417748,0.99286556,0.0007800912,0.0032202066],"study_design_scores_gemma":[0.000049641854,0.000048188005,0.0009154756,0.000033561566,0.000022300903,0.00080096803,0.00046895508,0.011466911,0.0029736042,0.9746304,0.008553935,0.000035957197],"about_ca_topic_score_codex":0.0005216604,"about_ca_topic_score_gemma":0.000521042,"teacher_disagreement_score":0.007858908,"about_ca_system_score_codex":0.0009689485,"about_ca_system_score_gemma":0.00065287994,"threshold_uncertainty_score":0.026290655},"labels":[],"label_agreement":null},{"id":"W2091970676","doi":"10.1080/10586458.2009.10128882","title":"Motivic Proof of a Character Formula for SL(2)","year":2009,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Advanced Algebra and Geometry","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 British Columbia; University of Calgary","funders":"","keywords":"Mathematics; Unipotent; Character (mathematics); Pure mathematics; Zero (linguistics); Cartan subalgebra; Nilpotent; Algebra over a field; Subalgebra; Fourier transform; Mathematical analysis; Geometry; Affine Lie algebra; Linguistics","score_opus":0.04215332251082589,"score_gpt":0.3581435312509217,"score_spread":0.3159902087400958,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091970676","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30047718,0.0010569692,0.46564746,0.0027638187,0.00089671265,0.00009798163,0.00036011465,0.00043354894,0.2282663],"genre_scores_gemma":[0.93832517,0.00040032278,0.042201024,0.00051786896,0.00044731118,0.00006477954,0.00017917788,0.00014521535,0.01771918],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999676,0.00005440879,0.000016357744,0.000051669274,0.00015429361,0.00004734616],"domain_scores_gemma":[0.99960726,0.00010878027,0.00004398164,0.00003858904,0.00013872163,0.00006268663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042052253,0.00046709113,0.00037203266,0.0008479301,0.00089857826,0.0009302261,0.00055487035,0.00049232406,0.006208817],"category_scores_gemma":[0.0014673489,0.00022514354,0.00044053092,0.00037100998,0.0017804463,0.002037595,0.0017974132,0.0018489292,0.0008023572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011251052,0.000021473408,0.00025553143,0.000029952118,0.0000037520122,0.00017869363,0.00022669055,0.00038578466,0.002703655,0.9874577,0.0011345445,0.0075910436],"study_design_scores_gemma":[0.000024058183,0.00006542574,0.00086331315,0.000025098781,0.00000892745,0.0006960328,0.00010514138,0.009333541,0.0043731267,0.96915954,0.0153237805,0.000021942735],"about_ca_topic_score_codex":0.0003302311,"about_ca_topic_score_gemma":0.00034304988,"teacher_disagreement_score":0.006208817,"about_ca_system_score_codex":0.0005850117,"about_ca_system_score_gemma":0.00038077592,"threshold_uncertainty_score":0.02077055},"labels":[],"label_agreement":null},{"id":"W2093221812","doi":"10.1155/imrn/2006/59326","title":"Holomorphy of the 9th symmetric power L-functions for Re(s) &gt; 1","year":2006,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Power (physics); Pure mathematics; Arithmetic; Combinatorics; Calculus (dental)","score_opus":0.1183949335197012,"score_gpt":0.42441482878220377,"score_spread":0.30601989526250256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093221812","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9057628,0.00016060148,0.034664515,0.0004162806,0.00014278921,0.000028940281,0.00006241307,0.00014952183,0.05861212],"genre_scores_gemma":[0.9838358,0.00013604472,0.004064535,0.0000700486,0.000096989796,0.000017475246,0.00005841153,0.00008265865,0.011638088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968874,0.000042670054,0.000017280508,0.000063163,0.000090813024,0.00009733695],"domain_scores_gemma":[0.99948114,0.00009587352,0.00011490337,0.000091777554,0.0000903613,0.00012600834],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000534047,0.00079159293,0.00043018605,0.0017182088,0.0011948335,0.0019092481,0.000747407,0.0006129213,0.0069858567],"category_scores_gemma":[0.0012287924,0.00026248046,0.00076952466,0.0004044888,0.0030427475,0.0031638655,0.0017725873,0.0024734712,0.0011711256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001424366,0.000040979005,0.0012177326,0.000057206333,0.000010538611,0.0007162883,0.00093071145,0.0010963376,0.010957994,0.9722686,0.00068171934,0.011879395],"study_design_scores_gemma":[0.000046887344,0.00019470903,0.0026933292,0.000046543853,0.00002061221,0.001575425,0.00067377207,0.010256069,0.014309799,0.9627792,0.0073563056,0.000047307618],"about_ca_topic_score_codex":0.00033923192,"about_ca_topic_score_gemma":0.00023184532,"teacher_disagreement_score":0.0069858567,"about_ca_system_score_codex":0.00072306895,"about_ca_system_score_gemma":0.00033541935,"threshold_uncertainty_score":0.023369968},"labels":[],"label_agreement":null},{"id":"W2093888199","doi":"10.1016/j.jnt.2009.05.009","title":"Divisor function for quaternion algebras and application to fourth moments of L-functions","year":2009,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quaternion; Divisor (algebraic geometry); Riemann zeta function; Dirichlet series; Divisor function; Automorphic form; Pure mathematics; Quaternion algebra; Function (biology); Eisenstein series; Algebra over a field; Order (exchange); Dirichlet distribution; Modular form; Mathematical analysis; Division algebra; Geometry","score_opus":0.01663315963229171,"score_gpt":0.3158613654737171,"score_spread":0.2992282058414254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093888199","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1879291,0.005794733,0.7387394,0.002340518,0.001217012,0.00006906648,0.00018663768,0.0006271228,0.06309644],"genre_scores_gemma":[0.8855165,0.003777272,0.08655049,0.00036712855,0.0014756186,0.000069133115,0.00016959396,0.00034911753,0.021725034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995679,0.00016022632,0.000035040175,0.000067402136,0.0000920902,0.0000772714],"domain_scores_gemma":[0.99783105,0.0010284907,0.0002453897,0.00019403188,0.00031286367,0.00038823608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001944186,0.0011343446,0.0014341834,0.0057090763,0.0016344811,0.0038186656,0.0015009907,0.0014665304,0.0054273065],"category_scores_gemma":[0.007012254,0.0005362654,0.0014197127,0.0031953794,0.0033390883,0.0040636756,0.0022581073,0.0027118707,0.000878635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031488933,0.000026513308,0.0003492142,0.0000486863,0.000012547683,0.0001328409,0.00023515342,0.0028658388,0.0013772013,0.98259234,0.0008562572,0.011472039],"study_design_scores_gemma":[0.000014745307,0.000026230784,0.00046820578,0.000034949153,0.000018376804,0.00028031104,0.000121849436,0.06254396,0.0015902586,0.9297512,0.005107943,0.000041856674],"about_ca_topic_score_codex":0.0011133405,"about_ca_topic_score_gemma":0.0011775369,"teacher_disagreement_score":0.0057090763,"about_ca_system_score_codex":0.0021084093,"about_ca_system_score_gemma":0.0008664502,"threshold_uncertainty_score":0.018156111},"labels":[],"label_agreement":null},{"id":"W2094194264","doi":"10.1016/s0021-8693(03)00023-1","title":"Almost unramified automorphic representations for split groups over (t)","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Centre de Recherches Mathématiques","keywords":"Mathematics; Langlands–Shahidi method; Automorphic L-function; Automorphic form; Pure mathematics","score_opus":0.04402948659972641,"score_gpt":0.3483703484290096,"score_spread":0.3043408618292832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094194264","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8756352,0.00039624458,0.07057866,0.00082442426,0.00037626867,0.000057657235,0.00015073146,0.0003914904,0.051589306],"genre_scores_gemma":[0.9824258,0.0001513402,0.0063019614,0.00022454493,0.00025531978,0.00003306373,0.00012131985,0.00007100807,0.01041564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994349,0.00009643347,0.000035473826,0.00010644377,0.00015385532,0.00017291291],"domain_scores_gemma":[0.99917716,0.00015207323,0.00015022457,0.00013459058,0.000091832095,0.00029411196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010235865,0.0008294552,0.00071492343,0.0020806864,0.0018471647,0.0032813936,0.0009178219,0.0012651338,0.008224806],"category_scores_gemma":[0.0013835015,0.00036462463,0.000848626,0.0013129133,0.0026257758,0.0041784965,0.0025812367,0.0017149942,0.0009142586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007916952,0.000055765217,0.0003572524,0.000021422635,0.0000114512695,0.0002556435,0.00060983317,0.00039217272,0.0025812876,0.98835725,0.0004489078,0.006829788],"study_design_scores_gemma":[0.000031031672,0.000048088474,0.00032278532,0.0000089565665,0.000008122927,0.0002498077,0.00023727427,0.0025201836,0.0009696289,0.9943718,0.0012194084,0.000012867185],"about_ca_topic_score_codex":0.0004389012,"about_ca_topic_score_gemma":0.00047508947,"teacher_disagreement_score":0.008224806,"about_ca_system_score_codex":0.0008043243,"about_ca_system_score_gemma":0.00048997387,"threshold_uncertainty_score":0.027514756},"labels":[],"label_agreement":null},{"id":"W2095555086","doi":"10.1090/s0002-9947-08-04278-5","title":"Nonabelian cohomology with coefficients in Lie groups","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Maximal torus; Bijection; Surjective function; Lie group; Torus; Group (periodic table); Image (mathematics); Lie algebra; Physics; Pure mathematics; Fundamental representation; Geometry","score_opus":0.020709181549442634,"score_gpt":0.278108609792622,"score_spread":0.25739942824317935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095555086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5739749,0.0026044112,0.13537022,0.0051790504,0.0013241915,0.00010265184,0.00055010506,0.0007557442,0.28013876],"genre_scores_gemma":[0.96296173,0.00088805665,0.0075050974,0.00033723467,0.0005810116,0.000053651605,0.00030936583,0.00023738592,0.027126458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989202,0.00025905218,0.000045799443,0.0001785592,0.0003139549,0.00028252316],"domain_scores_gemma":[0.9984127,0.00060372695,0.00017341216,0.00015967069,0.0003461933,0.00030426076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010228729,0.0009809827,0.0007263148,0.0022590752,0.002030669,0.002501104,0.00091764174,0.0008055722,0.01753679],"category_scores_gemma":[0.0034037493,0.00039157242,0.0007718723,0.0013067115,0.0032214688,0.0069437493,0.003145109,0.0025086435,0.0027080302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024990708,0.00001986773,0.0003515698,0.00007485935,0.0000074242544,0.00015043568,0.00046864236,0.00042003405,0.00084292056,0.99198556,0.0014684963,0.00418529],"study_design_scores_gemma":[0.000016209615,0.000034478267,0.0005799345,0.000023373432,0.000008527184,0.00017666993,0.00031388315,0.0033061923,0.0016482327,0.98739946,0.006473522,0.000019503566],"about_ca_topic_score_codex":0.0013348655,"about_ca_topic_score_gemma":0.0010995341,"teacher_disagreement_score":0.01753679,"about_ca_system_score_codex":0.0013540632,"about_ca_system_score_gemma":0.0007466445,"threshold_uncertainty_score":0.058666408},"labels":[],"label_agreement":null},{"id":"W2095779934","doi":"10.1007/s10240-013-0049-y","title":"The image of Colmez’s Montreal functor","year":2013,"lang":"fr","type":"article","venue":"Publications mathématiques de l IHÉS","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":123,"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; Conjecture; Modulo; Unitary state; Pure mathematics; Functor; Invariant (physics); Algebraic number; Irreducible representation; Algebra over a field; Discrete mathematics; Mathematical analysis; Mathematical physics","score_opus":0.015970808594084077,"score_gpt":0.28879429275248925,"score_spread":0.2728234841584052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095779934","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21718913,0.0010665637,0.09734562,0.0057367687,0.0006246496,0.0000635678,0.000859379,0.001004826,0.67610943],"genre_scores_gemma":[0.9062597,0.000400987,0.012014011,0.0007048822,0.00024316102,0.0000461086,0.00063832896,0.00024782313,0.07944493],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992945,0.00012124487,0.000015540594,0.00016949083,0.00021001403,0.0001891882],"domain_scores_gemma":[0.99938214,0.00017040898,0.000051505136,0.00008461003,0.00019218543,0.00011922474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005354668,0.0006112666,0.00036425638,0.0012448647,0.0020277288,0.0028937785,0.0009165193,0.00066282216,0.021580853],"category_scores_gemma":[0.0015998924,0.00028380947,0.00074861204,0.0007752277,0.0025900097,0.0033395754,0.0018795351,0.0018692608,0.0020584408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019380037,0.000007652869,0.00012215384,0.000011857063,0.0000036949616,0.000038169543,0.00019356182,0.0001279097,0.00077150133,0.9933236,0.0017434501,0.0036369849],"study_design_scores_gemma":[0.000034656547,0.000040591054,0.0009409296,0.000024684608,0.000015149237,0.00014448716,0.00046636534,0.004232215,0.0034024061,0.9304466,0.060221456,0.000030376606],"about_ca_topic_score_codex":0.0233748,"about_ca_topic_score_gemma":0.012190073,"teacher_disagreement_score":0.0233748,"about_ca_system_score_codex":0.0036377665,"about_ca_system_score_gemma":0.0012160781,"threshold_uncertainty_score":0.07219511},"labels":[],"label_agreement":null},{"id":"W2097107750","doi":"10.1142/s021819670000008x","title":"THE COMPLEX INDECOMPOSABLE REPRESENTATIONS OF Aut(F<sub>2</sub>) OF DEGREE LESS THAN SIX","year":2000,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Advanced Algebra and Geometry","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":"Indecomposable module; Mathematics; Degree (music); Automorphism; Automorphism group; Combinatorics; Group (periodic table); Pure mathematics; Discrete mathematics","score_opus":0.049003521215516696,"score_gpt":0.3390675390609327,"score_spread":0.29006401784541597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2097107750","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9255061,0.00038580643,0.021358103,0.00036230907,0.00018791742,0.00007242417,0.00059988827,0.00024305198,0.051284432],"genre_scores_gemma":[0.97739273,0.00026487754,0.0066103833,0.00009446968,0.000067255525,0.000038457012,0.0007979235,0.00006502076,0.0146688605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999691,0.000022114089,0.000012618362,0.00004498248,0.00006789419,0.00016138985],"domain_scores_gemma":[0.999479,0.0000885707,0.0001573685,0.0000610467,0.00006690592,0.00014705572],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019987106,0.0010270308,0.0003397966,0.0022750164,0.0006985579,0.0020183271,0.0006559517,0.00057333265,0.00941862],"category_scores_gemma":[0.0009116247,0.00016059788,0.0004554535,0.0008599656,0.001255751,0.0016141689,0.0010807774,0.0010216711,0.0014855653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009136441,0.00039604274,0.020491041,0.0003604845,0.0000836544,0.0033666766,0.0036171698,0.0041499347,0.09666356,0.6958223,0.012454038,0.16168141],"study_design_scores_gemma":[0.000112600814,0.0004535243,0.036567483,0.00020304654,0.00008469907,0.0045280023,0.0026952336,0.016482122,0.07498881,0.76438004,0.099295795,0.00020863004],"about_ca_topic_score_codex":0.00037488103,"about_ca_topic_score_gemma":0.00041328734,"teacher_disagreement_score":0.00941862,"about_ca_system_score_codex":0.0004717618,"about_ca_system_score_gemma":0.00028238224,"threshold_uncertainty_score":0.031508386},"labels":[],"label_agreement":null},{"id":"W2097497805","doi":"10.1112/s0010437x14007921","title":"Extensions de représentations de de Rham et vecteurs localement algébriques","year":2015,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Centre de Recherches Mathématiques","keywords":"Mathematics; Unitary state; Pure mathematics; Conjecture; Representation (politics); Algebraic number; Irreducible representation; Order (exchange); Algebra over a field; Mathematical analysis","score_opus":0.08828903712938554,"score_gpt":0.429067653298947,"score_spread":0.3407786161695615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2097497805","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83096373,0.0008283506,0.07326364,0.0011707178,0.00033929897,0.000060173126,0.00022998013,0.00041128267,0.09273284],"genre_scores_gemma":[0.9559809,0.0003836664,0.012710703,0.00014673454,0.00023608973,0.00005383236,0.00020162882,0.000088299836,0.030198129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99944896,0.0001357821,0.000016189511,0.00010980346,0.00012809943,0.00016118836],"domain_scores_gemma":[0.99958664,0.00007622982,0.00006255766,0.00005759784,0.00005978049,0.00015718954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006730022,0.00078306557,0.0004966134,0.0010380128,0.0011481926,0.0017846641,0.00067919685,0.0008883148,0.0063844626],"category_scores_gemma":[0.0012936821,0.0002837056,0.00089593016,0.0005973877,0.0029720343,0.0029713092,0.0020061228,0.0025465146,0.0009033327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004373305,0.000030169775,0.00022393638,0.00002410033,0.000005075036,0.00020088293,0.000536272,0.00088162743,0.0023792936,0.99115926,0.00046030118,0.0040553603],"study_design_scores_gemma":[0.000057948837,0.00015316893,0.001425215,0.00003120175,0.000011235223,0.0008165544,0.0007750917,0.011779754,0.0040290696,0.96636003,0.014502975,0.000057734585],"about_ca_topic_score_codex":0.001661829,"about_ca_topic_score_gemma":0.001051418,"teacher_disagreement_score":0.0063844626,"about_ca_system_score_codex":0.0012262972,"about_ca_system_score_gemma":0.00049151917,"threshold_uncertainty_score":0.021358132},"labels":[],"label_agreement":null},{"id":"W2100005863","doi":"10.1023/a:1001839511409","title":"Remarks on the Transfer Factors for Unipotent Orbital Integrals in p-adic Classical Split Groups","year":2000,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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 Saskatchewan; University of Chicago","keywords":"Unipotent; Mathematics; Symplectic geometry; Pure mathematics; Transfer (computing); Point (geometry); Network packet; Orthogonal group; Algebra over a field; Geometry; Computer science","score_opus":0.04171022231566492,"score_gpt":0.29762941628057427,"score_spread":0.25591919396490936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100005863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.527781,0.0025879117,0.21761231,0.0068195886,0.0007851585,0.00009568131,0.00022385853,0.0005412376,0.24355331],"genre_scores_gemma":[0.9559031,0.0014638348,0.018814689,0.0005322916,0.00068585755,0.000060813116,0.000099257784,0.0001306492,0.022309482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996941,0.000058942296,0.000016201544,0.00004805411,0.00012269714,0.000059968108],"domain_scores_gemma":[0.9994754,0.00027075902,0.00006900796,0.000069721274,0.000054219396,0.000060951315],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010424983,0.00056425313,0.00035462022,0.0013115465,0.001266991,0.0016142766,0.0006783388,0.00097434135,0.0118822595],"category_scores_gemma":[0.0016443791,0.00019169578,0.0006178584,0.0005678859,0.0031823989,0.0044730124,0.0014498513,0.0020663028,0.0011105002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025984562,0.000010886721,0.00019021875,0.000026988611,0.0000019019025,0.0001544435,0.0003291701,0.00048554444,0.0011315255,0.9926555,0.0005999165,0.004387888],"study_design_scores_gemma":[0.000011452597,0.000039254464,0.0005311497,0.00002185111,0.0000043177874,0.00022476848,0.00025357076,0.0019277453,0.0010762876,0.9906764,0.00522223,0.000011011408],"about_ca_topic_score_codex":0.000354769,"about_ca_topic_score_gemma":0.00020867189,"teacher_disagreement_score":0.0118822595,"about_ca_system_score_codex":0.0005577634,"about_ca_system_score_gemma":0.0002082537,"threshold_uncertainty_score":0.0397501},"labels":[],"label_agreement":null},{"id":"W2100953481","doi":"10.4153/cjm-2008-027-2","title":"Polarization of Separating Invariants","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; Queen's University; University of Cambridge; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; Polarization (electrochemistry); Pure mathematics; Algebra over a field","score_opus":0.057292357316481336,"score_gpt":0.28826325862217617,"score_spread":0.23097090130569484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100953481","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78938884,0.0004430614,0.12626016,0.00070466934,0.00018337845,0.000049552073,0.00024906071,0.00028840182,0.08243281],"genre_scores_gemma":[0.99171877,0.0001302922,0.002642924,0.00006796969,0.000112119524,0.000016105832,0.00011002614,0.00003803051,0.0051638614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862456,0.00015049543,0.000050511862,0.00023904405,0.000487422,0.00044802594],"domain_scores_gemma":[0.99740237,0.0007828767,0.00045631902,0.00053038204,0.00040291602,0.00042507454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009925838,0.0004239757,0.0005203724,0.001963782,0.0012248019,0.0023829127,0.00057171116,0.00044157694,0.009019325],"category_scores_gemma":[0.0028603696,0.000395099,0.00060964795,0.00089574617,0.0044735223,0.005091034,0.0034841232,0.0020013922,0.000845297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007793343,0.00003465932,0.0014709863,0.00004592709,0.000014610799,0.00009378145,0.00028348077,0.0016417747,0.005772511,0.9766947,0.0009489954,0.0129206795],"study_design_scores_gemma":[0.000022949822,0.00008410338,0.0018936539,0.000025373138,0.000029255429,0.00032837145,0.00021316472,0.0083372565,0.012200892,0.96865493,0.008177068,0.000032884232],"about_ca_topic_score_codex":0.0003963418,"about_ca_topic_score_gemma":0.00021592698,"teacher_disagreement_score":0.009019325,"about_ca_system_score_codex":0.0008925611,"about_ca_system_score_gemma":0.0004237577,"threshold_uncertainty_score":0.030172586},"labels":[],"label_agreement":null},{"id":"W2101160402","doi":"10.1007/s00208-015-1318-5","title":"Isomonodromic deformations of logarithmic connections and stability","year":2015,"lang":"en","type":"preprint","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Monodromy; Mathematics; Nabla symbol; Divisor (algebraic geometry); Combinatorics; Genus; Riemann surface; Connection (principal bundle); Pure mathematics; Geometry; Physics; Omega","score_opus":0.11928345879727983,"score_gpt":0.34829096298426976,"score_spread":0.22900750418698992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2101160402","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6616498,0.0035428156,0.07640035,0.009219825,0.0010261468,0.000044886467,0.0003371544,0.0003167626,0.24746218],"genre_scores_gemma":[0.9717378,0.00085550395,0.0035435143,0.00036112076,0.00094098796,0.000028358603,0.00009545378,0.000063528714,0.022373714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958926,0.0001348279,0.000017896264,0.00009894682,0.00010219799,0.00005683268],"domain_scores_gemma":[0.9994204,0.00015002687,0.0001230232,0.000082847735,0.000094473886,0.00012917828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085363316,0.0008332688,0.00058370834,0.0018242126,0.0016419291,0.0027593027,0.00088594086,0.0012592281,0.0075676804],"category_scores_gemma":[0.001999061,0.00037218467,0.0004491495,0.0012109113,0.003660356,0.004952075,0.0018280047,0.0024068293,0.00071933004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014616265,0.00000906797,0.00010369541,0.000008287145,0.000002767989,0.000025140498,0.00008957665,0.00025416294,0.00033408328,0.99728346,0.0005288204,0.0013464454],"study_design_scores_gemma":[0.0000060292896,0.0000048412803,0.00013238304,0.0000024177573,0.0000017386973,0.000031511514,0.000030122137,0.0009859395,0.0000773682,0.99790657,0.0008175784,0.000003545461],"about_ca_topic_score_codex":0.000871621,"about_ca_topic_score_gemma":0.0009241333,"teacher_disagreement_score":0.0075676804,"about_ca_system_score_codex":0.0013962594,"about_ca_system_score_gemma":0.00053042686,"threshold_uncertainty_score":0.025316417},"labels":[],"label_agreement":null},{"id":"W2103310264","doi":"10.2991/jnmp.2005.12.4.12","title":"Erratum on \"Some Symmetry Classifications of Hyperbolic Vector Evolution Equations\": J Nonlinear Math. Phys. 12 suppl. 1 (2005), 1331.","year":2005,"lang":"en","type":"erratum","venue":"Journal of Nonlinear Mathematical Physics","topic":"Advanced Algebra and Geometry","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":"Brock University","funders":"","keywords":"Symmetry (geometry); Mathematics; Nonlinear system; Pure mathematics; Mathematical physics; Mathematical analysis; Physics; Geometry; Quantum mechanics","score_opus":0.04220813540423967,"score_gpt":0.3160601059480997,"score_spread":0.27385197054386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103310264","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0005463358,0.004174701,0.0019745557,0.035818256,0.93492466,0.00006446185,0.0019087169,0.00034368096,0.020244563],"genre_scores_gemma":[0.022813605,0.029978368,0.012615272,0.071638644,0.23098725,0.00041657552,0.011877086,0.0019880722,0.61768514],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99764377,0.0003025412,0.00044627744,0.00024738445,0.0011852018,0.00017479925],"domain_scores_gemma":[0.9909242,0.0019589784,0.0005245093,0.00051935116,0.00568354,0.00038941068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020725282,0.0025647178,0.0020876117,0.0043753143,0.0037943474,0.0036219056,0.0032826148,0.004017608,0.07170568],"category_scores_gemma":[0.020727275,0.0009367008,0.0014896061,0.003052372,0.0019254377,0.0047443933,0.0016804897,0.0051425793,0.030413575],"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":[0.000053124466,0.0000109190605,0.00004306822,0.00016454642,0.0000075819794,0.00014102845,0.000022486827,0.000058617254,0.00009196714,0.0041316557,0.9887255,0.0065496317],"study_design_scores_gemma":[0.000069881076,0.00007845649,0.0010611974,0.0006055466,0.000055126962,0.0006451948,0.00013205354,0.0006042508,0.0009362842,0.012602765,0.98313737,0.00007182736],"about_ca_topic_score_codex":0.0063735126,"about_ca_topic_score_gemma":0.0089830635,"teacher_disagreement_score":0.07170568,"about_ca_system_score_codex":0.0031926243,"about_ca_system_score_gemma":0.003006716,"threshold_uncertainty_score":0.23987937},"labels":[],"label_agreement":null},{"id":"W2104862742","doi":"10.4153/cmb-2014-041-3","title":"Dihedral Groups of Order 2<i>p</i> of Automorphisms of Compact Riemann Surfaces of Genus <i>p</i> – 1","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Dihedral group; Automorphism; Genus; Conjugacy class; Order (exchange); Riemann surface; Pure mathematics; Symplectic geometry; Outer automorphism group; Dihedral angle; Class (philosophy); Group (periodic table); Riemann hypothesis; Combinatorics; Automorphism group; Botany","score_opus":0.017090254473388015,"score_gpt":0.25214947040445546,"score_spread":0.23505921593106743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104862742","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96029586,0.0000984502,0.016718883,0.00019462212,0.00006795166,0.00004007332,0.000037645008,0.000060276463,0.022486106],"genre_scores_gemma":[0.9949715,0.000048390964,0.0019514834,0.000027640057,0.000039124046,0.000018411756,0.000042540174,0.000019373996,0.0028814017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963856,0.000055660013,0.000023807115,0.00008846294,0.000094961375,0.00009844088],"domain_scores_gemma":[0.9996189,0.00007945173,0.00010008339,0.00007869424,0.00003203275,0.000090829715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033768875,0.00049354264,0.00043055398,0.00096766243,0.001357086,0.0018100542,0.00040990062,0.0005619038,0.0031867719],"category_scores_gemma":[0.000774386,0.00029600988,0.0005516993,0.00037094773,0.0027861667,0.0017151991,0.0019526194,0.0010313984,0.00028054995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017230121,0.000080784455,0.0041884175,0.000038516206,0.000020655816,0.0008276388,0.002035603,0.002278825,0.021494687,0.9564581,0.0005285345,0.011875883],"study_design_scores_gemma":[0.0001310761,0.00030740362,0.0059377206,0.000031701486,0.000030408213,0.0010128461,0.001191013,0.013382283,0.021623654,0.942413,0.013889048,0.000049929597],"about_ca_topic_score_codex":0.00043669622,"about_ca_topic_score_gemma":0.0002998398,"teacher_disagreement_score":0.0031867719,"about_ca_system_score_codex":0.00086902786,"about_ca_system_score_gemma":0.00037165353,"threshold_uncertainty_score":0.010660768},"labels":[],"label_agreement":null},{"id":"W2105645243","doi":"10.1007/s10958-011-0645-7","title":"Big and small elements in Chevalley groups","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematical Sciences","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Tilde; Conjugacy class; Reductive group; Algebraic group; Bibliography; Field (mathematics); Combinatorics; Group (periodic table); Algebraic number; Set (abstract data type); Pure mathematics; Group theory; Physics; Library science; Mathematical analysis; Computer science","score_opus":0.1656943154667094,"score_gpt":0.3378365441038655,"score_spread":0.1721422286371561,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105645243","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8152527,0.0018852727,0.08281194,0.0051071336,0.0006290205,0.000071114104,0.00021386899,0.00024407236,0.093784854],"genre_scores_gemma":[0.9749059,0.0004363428,0.0061554476,0.00032789577,0.0004933225,0.00006468071,0.00009186515,0.00006731936,0.017457223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992644,0.00018025686,0.00004195662,0.00015696963,0.00017985488,0.00017657863],"domain_scores_gemma":[0.99616736,0.002295759,0.00033939668,0.00035191816,0.00022669816,0.0006188107],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016239247,0.0010443148,0.0015327994,0.0030541774,0.0037944054,0.0044743638,0.0010609991,0.0017771316,0.009281465],"category_scores_gemma":[0.0048948266,0.00075114996,0.00082768744,0.002256666,0.010508753,0.010972083,0.00452725,0.004265412,0.0006842477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003994923,0.000008602128,0.00018301756,0.000010347768,0.0000032089533,0.00003417355,0.00028326103,0.00012284242,0.00017997251,0.9978461,0.00020957069,0.0010790259],"study_design_scores_gemma":[0.000016744134,0.000008844458,0.00013145787,0.0000039681468,0.000004488779,0.000046289657,0.000095135045,0.00042963104,0.000137753,0.9984151,0.0007045111,0.000006057145],"about_ca_topic_score_codex":0.0006578721,"about_ca_topic_score_gemma":0.00060405093,"teacher_disagreement_score":0.009281465,"about_ca_system_score_codex":0.0011779537,"about_ca_system_score_gemma":0.00059699273,"threshold_uncertainty_score":0.03104955},"labels":[],"label_agreement":null},{"id":"W2108611868","doi":"10.1142/s0219498802000252","title":"ON SEMIREGULAR NILPOTENT ORBITS IN SIMPLE LIE ALGEBRAS OF TYPE <b>D</b>","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Algebra and Geometry","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":"Mathematics; Cartan subalgebra; Lie algebra; Subalgebra; Type (biology); Simple (philosophy); Nilpotent; Basis (linear algebra); Orbit (dynamics); Intersection (aeronautics); Pure mathematics; Combinatorics; Algebra over a field; Lie conformal algebra; Adjoint representation of a Lie algebra; Geometry","score_opus":0.03386690970890335,"score_gpt":0.2958229717586078,"score_spread":0.26195606204970445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2108611868","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8823781,0.0007374052,0.072804935,0.00032897442,0.00014003523,0.00006805008,0.00018245829,0.00016961759,0.043190494],"genre_scores_gemma":[0.98206115,0.00040788224,0.012115089,0.0000733401,0.000100012665,0.000044675733,0.00012709225,0.000042565254,0.005028197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968505,0.000069530826,0.000016322598,0.00004473439,0.0001236331,0.00006085466],"domain_scores_gemma":[0.9993001,0.00016030014,0.00022871475,0.00004868072,0.000103822385,0.00015833681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005644559,0.0005507573,0.00058271864,0.003341671,0.0012953238,0.0016300994,0.0006499977,0.0007905373,0.0027384444],"category_scores_gemma":[0.001376722,0.00033859623,0.00043607823,0.0015313005,0.0028033613,0.0025593184,0.0015454635,0.0008271608,0.00085798115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007361835,0.000027962767,0.0009429568,0.000079709505,0.000008396874,0.00045667385,0.0006853045,0.002368862,0.0032826033,0.98291636,0.00076050754,0.008397028],"study_design_scores_gemma":[0.000023576438,0.00004925805,0.001110599,0.00003408948,0.0000065447616,0.00030858326,0.0003182385,0.017132018,0.001711457,0.97708875,0.0021877543,0.00002903931],"about_ca_topic_score_codex":0.001300901,"about_ca_topic_score_gemma":0.0017389108,"teacher_disagreement_score":0.003341671,"about_ca_system_score_codex":0.0013629625,"about_ca_system_score_gemma":0.00045098292,"threshold_uncertainty_score":0.009889066},"labels":[],"label_agreement":null},{"id":"W2112753983","doi":"10.1090/s1088-4165-05-00269-4","title":"The Signature of the Shapovalov Form on Irreducible Verma Modules","year":2005,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Alberta","funders":"","keywords":"Mathematics; Verma module; Pure mathematics; Sesquilinear form; Signature (topology); Unitary state; Hermitian matrix; Invariant (physics); Affine transformation; Algebraic number; Weyl group; Scalar (mathematics); Algebra over a field; Mathematical analysis; Mathematical physics; Geometry","score_opus":0.025942259252324615,"score_gpt":0.32712645400948664,"score_spread":0.301184194757162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2112753983","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.838904,0.00041429405,0.10112898,0.0010850339,0.0002468327,0.00009413134,0.00050268247,0.00022277221,0.05740137],"genre_scores_gemma":[0.9758488,0.00027832048,0.015418861,0.00016682077,0.00027952756,0.00005998009,0.0004168076,0.00007493502,0.007455946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991272,0.00019271152,0.00008954255,0.00014633773,0.00025475334,0.00018936534],"domain_scores_gemma":[0.99866307,0.00020326959,0.00032662496,0.00019047795,0.00023803885,0.00037858347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086682756,0.00042766446,0.000618836,0.0025650263,0.0013776696,0.0037047104,0.0007541634,0.0010374014,0.0037133482],"category_scores_gemma":[0.003036729,0.00036262049,0.0005435735,0.0020239651,0.0031389243,0.005211822,0.0017433332,0.0011671798,0.0008209254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043499716,0.00001578102,0.00057556474,0.00002518017,0.0000045021734,0.00008341736,0.0002984338,0.0006551724,0.003036188,0.98480356,0.0005204872,0.009938122],"study_design_scores_gemma":[0.000012570226,0.000034618253,0.00056057586,0.000021924974,0.000004424329,0.00020941388,0.00010196921,0.004031651,0.0018225601,0.99078465,0.0023937358,0.00002191544],"about_ca_topic_score_codex":0.00033934708,"about_ca_topic_score_gemma":0.00035667725,"teacher_disagreement_score":0.0037133482,"about_ca_system_score_codex":0.0012488919,"about_ca_system_score_gemma":0.0008059661,"threshold_uncertainty_score":0.012422383},"labels":[],"label_agreement":null},{"id":"W2113011496","doi":"10.2478/bf02475183","title":"The closure diagram for nilpotent orbits of the split real form of E8","year":2003,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Closure (psychology); Diagram; Nilpotent; Mathematics; Pure mathematics; Combinatorics; Political science; Statistics","score_opus":0.05544220366990383,"score_gpt":0.35365751912056514,"score_spread":0.2982153154506613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113011496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9281639,0.00022367496,0.011222335,0.00022866286,0.000066979344,0.00003719631,0.00013938878,0.00014621463,0.05977162],"genre_scores_gemma":[0.98934084,0.00007602528,0.0037530032,0.000038737297,0.000018595436,0.000025745658,0.00011116859,0.00003728489,0.0065985583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998405,0.000017968321,0.000008918425,0.00002672303,0.000053758577,0.000052130297],"domain_scores_gemma":[0.9998604,0.000027505572,0.000020960268,0.000010542249,0.000025496785,0.000055030374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018530895,0.00024803585,0.00029739254,0.001309862,0.0012809742,0.0016115943,0.00027917232,0.00051142776,0.005797341],"category_scores_gemma":[0.00036831095,0.00017136865,0.00020884386,0.00030214034,0.0012465904,0.001608278,0.0010196296,0.0006184089,0.000594195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013551927,0.000043798813,0.0007762104,0.00005297534,0.0000034267166,0.0009316803,0.0013429067,0.00047353675,0.01274958,0.9751951,0.0007136934,0.007581496],"study_design_scores_gemma":[0.00010127764,0.00015063238,0.0037131547,0.00008986575,0.00001222508,0.0013242551,0.0026120981,0.010712819,0.01538935,0.9386666,0.027173948,0.000053704807],"about_ca_topic_score_codex":0.0012609672,"about_ca_topic_score_gemma":0.0012267464,"teacher_disagreement_score":0.005797341,"about_ca_system_score_codex":0.000770635,"about_ca_system_score_gemma":0.0003114948,"threshold_uncertainty_score":0.01939398},"labels":[],"label_agreement":null},{"id":"W2113318163","doi":"10.1007/s11139-013-9474-2","title":"Root multiplicities of hyperbolic Kac–Moody algebras and Fourier coefficients of modular forms","year":2013,"lang":"en","type":"article","venue":"The Ramanujan Journal","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Modular form; Pure mathematics; Ramanujan's sum; Dedekind eta function; Product (mathematics); Fourier series; Number theory; Algebra over a field; Fourier transform; Eisenstein series; Mathematical analysis","score_opus":0.017960098044865418,"score_gpt":0.26705239004217274,"score_spread":0.2490922919973073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113318163","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8793302,0.0012965852,0.060399964,0.0013209822,0.00038326604,0.000052824016,0.00017658186,0.00026038734,0.056779284],"genre_scores_gemma":[0.9807293,0.00051226455,0.006427054,0.00016116622,0.000488607,0.000047611848,0.0001614779,0.00010657182,0.011365975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985702,0.00036672383,0.00009103189,0.0002330525,0.00043933728,0.00029956657],"domain_scores_gemma":[0.9960569,0.0014416537,0.00073754264,0.00033501108,0.00046201996,0.0009669681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028581577,0.0017358095,0.0017008155,0.007109012,0.0028301012,0.004480019,0.0034211932,0.0022822774,0.011565805],"category_scores_gemma":[0.008972852,0.0012180232,0.0013245826,0.002510421,0.0063316664,0.0069920095,0.0034561455,0.003438383,0.0014645779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081576036,0.000048247006,0.0006537526,0.000045596564,0.000016852204,0.00024128243,0.00044151873,0.0009715803,0.001651414,0.99123794,0.0006219863,0.0039882567],"study_design_scores_gemma":[0.00003514678,0.00002243945,0.00061313115,0.000032198586,0.000018595172,0.00034279402,0.00016190353,0.0073579005,0.00096867955,0.9898552,0.0005511938,0.000040879717],"about_ca_topic_score_codex":0.00075775746,"about_ca_topic_score_gemma":0.0008748723,"teacher_disagreement_score":0.011565805,"about_ca_system_score_codex":0.0016681285,"about_ca_system_score_gemma":0.0008879255,"threshold_uncertainty_score":0.03869146},"labels":[],"label_agreement":null},{"id":"W2115489254","doi":"10.1142/9789814324359_0002","title":"The work of Ngô Bao Châu","year":2011,"lang":"en","type":"article","venue":"Proceedings of the International Congress of Mathematicians 2010 (ICM 2010)","topic":"Advanced Algebra and Geometry","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":"Work (physics); Computer science; Physics; Thermodynamics","score_opus":0.0621485556257485,"score_gpt":0.27884846392777163,"score_spread":0.21669990830202313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115489254","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008625511,0.03373294,0.0031135373,0.38101614,0.07103625,0.00004534594,0.00031121643,0.0001746606,0.5019444],"genre_scores_gemma":[0.16124128,0.015773468,0.0022409519,0.041778896,0.0088618975,0.000100083875,0.00031032495,0.0004915538,0.7692016],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9980288,0.00094396836,0.000028021801,0.0002706016,0.0004821452,0.00024632638],"domain_scores_gemma":[0.9981528,0.00043257492,0.00006839155,0.00018623348,0.0005106222,0.00064940593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025986913,0.00053944567,0.00047906087,0.0011507252,0.007974724,0.0054589952,0.00057711423,0.0024040374,0.014684227],"category_scores_gemma":[0.0048116315,0.00024548764,0.00024524273,0.0011803034,0.004556713,0.0043291543,0.0034537748,0.0044143004,0.004568],"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":[0.00005960234,0.00002097477,0.0005322549,0.000095132775,0.000010498998,0.00013630612,0.006149687,0.00013520887,0.00037560923,0.24600813,0.7151879,0.03128871],"study_design_scores_gemma":[0.000002613094,0.000003550403,0.00014813388,0.000049429196,0.0000017060319,0.000028139637,0.0011249271,0.000049758095,0.00010706336,0.0064132833,0.99206394,0.0000073296383],"about_ca_topic_score_codex":0.021554485,"about_ca_topic_score_gemma":0.031237964,"teacher_disagreement_score":0.021554485,"about_ca_system_score_codex":0.005031182,"about_ca_system_score_gemma":0.0052435603,"threshold_uncertainty_score":0.049123645},"labels":[],"label_agreement":null},{"id":"W2115814783","doi":"10.1016/j.jnt.2012.01.008","title":"On recursive properties of certain p-adic Whittaker functions","year":2012,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Signature (topology); Pure mathematics; Eisenstein series; Euler's formula; Representation (politics); Algebra over a field; Quadratic equation; Product (mathematics); Fourier series; Modular form; Mathematical analysis; Geometry","score_opus":0.044944269987904274,"score_gpt":0.30492540716882305,"score_spread":0.25998113718091875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115814783","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.848605,0.0010492906,0.10050779,0.0006604656,0.00009138203,0.000040253577,0.00018196415,0.00022719502,0.048636634],"genre_scores_gemma":[0.9808396,0.00068093295,0.011837813,0.0001363385,0.0001776108,0.00004037552,0.00020585537,0.0001114925,0.0059699393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991062,0.00023741704,0.00006718987,0.00015510625,0.0002216698,0.00021234344],"domain_scores_gemma":[0.9944273,0.0036755335,0.00055335456,0.00040891717,0.00044102382,0.00049393106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029320829,0.0010279616,0.0011651431,0.003211144,0.0023900066,0.004673189,0.0014552273,0.0012652201,0.005228328],"category_scores_gemma":[0.0076892697,0.0006332129,0.0012670894,0.002972769,0.0057789995,0.008108608,0.0020520673,0.002626183,0.0005933713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039838607,0.000018816274,0.0005604547,0.000025416739,0.000005842199,0.00014494549,0.0004695481,0.0004789646,0.0011018881,0.99422073,0.00018065337,0.0027529355],"study_design_scores_gemma":[0.00002650585,0.000034889395,0.0008097122,0.000019294252,0.000018494573,0.00027565364,0.00019137321,0.0050243298,0.0013455776,0.99094325,0.0012832833,0.000027813016],"about_ca_topic_score_codex":0.0009757334,"about_ca_topic_score_gemma":0.0009626917,"teacher_disagreement_score":0.005228328,"about_ca_system_score_codex":0.0017002805,"about_ca_system_score_gemma":0.00060186145,"threshold_uncertainty_score":0.017490566},"labels":[],"label_agreement":null},{"id":"W2126408513","doi":"10.1016/j.jalgebra.2013.07.009","title":"The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Pure mathematics; Monomial; Unitary group; Unitary state; Irreducible representation; Ring (chemistry); Multiplicity (mathematics); Induced representation; Rank (graph theory); Local ring; Extension (predicate logic); Commutative ring; Quadratic equation; Trivial representation; Combinatorics; Algebra over a field; Commutative property; Mathematical analysis; Algebra representation","score_opus":0.029606184703775434,"score_gpt":0.3035223390107039,"score_spread":0.2739161543069285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2126408513","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8663293,0.0003376563,0.0699723,0.0020173197,0.0008120132,0.00009680041,0.00016884143,0.00043262294,0.059833065],"genre_scores_gemma":[0.98117596,0.0001284245,0.0054387273,0.00020316672,0.00041988728,0.000031047977,0.000074588555,0.000087182234,0.0124410335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989272,0.00017543505,0.00004045012,0.00016402965,0.0002567002,0.00043607104],"domain_scores_gemma":[0.99915135,0.00017088612,0.00013213446,0.00008436724,0.000080538186,0.0003808335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013951196,0.0010928202,0.0015885335,0.0024012933,0.003175652,0.0047017005,0.001430194,0.0021563105,0.009385578],"category_scores_gemma":[0.0016886756,0.00049382827,0.00091359776,0.001584191,0.005322639,0.004999985,0.0036696573,0.0027741522,0.0009055483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012687074,0.0000665977,0.00028409043,0.000020979613,0.0000087830995,0.000420951,0.00074613135,0.0006750195,0.003092984,0.9907353,0.00045205012,0.003370199],"study_design_scores_gemma":[0.00008781928,0.00018032755,0.00056234736,0.000023937033,0.000019689447,0.00045825396,0.00052404194,0.009943506,0.002684693,0.98257506,0.0028748147,0.00006546764],"about_ca_topic_score_codex":0.0008929273,"about_ca_topic_score_gemma":0.0005892776,"teacher_disagreement_score":0.009385578,"about_ca_system_score_codex":0.0013498829,"about_ca_system_score_gemma":0.0009721687,"threshold_uncertainty_score":0.03139794},"labels":[],"label_agreement":null},{"id":"W2127512296","doi":"10.1112/s0010437x11005525","title":"Locally analytic vectors of some crystabelian representations of GL <sub>2</sub> (ℚ <sub> <i>p</i> </sub> )","year":2011,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Centre de Recherches Mathématiques","keywords":"Conjecture; Unitary state; Representation (politics); Unitary representation; Algebra over a field; Representation theory","score_opus":0.03298997008751553,"score_gpt":0.27827016386288944,"score_spread":0.2452801937753739,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127512296","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9812278,0.000064512824,0.007758249,0.00012335672,0.000015687023,0.0000068455565,0.00004807381,0.000053176525,0.010702254],"genre_scores_gemma":[0.99499017,0.000040618437,0.0015093263,0.000015041842,0.00001275437,0.00000768641,0.000050364957,0.000015726551,0.0033581043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99991965,0.000015179884,0.0000025749712,0.000012738897,0.000020297708,0.000029577695],"domain_scores_gemma":[0.99988234,0.000015163113,0.000034229768,0.000009679953,0.000019859246,0.000038667487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001008798,0.00022174195,0.00015026735,0.0008413803,0.00069687894,0.00078815996,0.0002879018,0.00021936256,0.00393369],"category_scores_gemma":[0.0003841454,0.0001122736,0.00015617315,0.00038178856,0.0010674283,0.00070692983,0.00053536193,0.00057573523,0.00033019332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018211923,0.00007145426,0.003896388,0.00004133058,0.000013408967,0.00057355047,0.0011141213,0.0028509563,0.02674248,0.93790966,0.0015427674,0.025061741],"study_design_scores_gemma":[0.000056935914,0.00026552446,0.015013139,0.00005114871,0.00002305022,0.0013129794,0.0024563486,0.033861294,0.028608805,0.90383947,0.014421873,0.000089548426],"about_ca_topic_score_codex":0.0010302862,"about_ca_topic_score_gemma":0.00063653116,"teacher_disagreement_score":0.00393369,"about_ca_system_score_codex":0.0005420679,"about_ca_system_score_gemma":0.0002065219,"threshold_uncertainty_score":0.0131595135},"labels":[],"label_agreement":null},{"id":"W2127567413","doi":"10.1112/s0010437x11005550","title":"Slodowy slices and universal Poisson deformations","year":2011,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Symplectic geometry; Nilpotent; Quotient; Pure mathematics; Dimension (graph theory); Poisson distribution; Lie algebra; Orbit (dynamics); Poisson manifold; Algebra over a field; Deformation (meteorology)","score_opus":0.06574526875957819,"score_gpt":0.28574045001495885,"score_spread":0.21999518125538065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127567413","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99121135,0.00015734886,0.0030226312,0.000047853646,0.0000070214865,0.000007191356,0.000025232399,0.0000176081,0.005503705],"genre_scores_gemma":[0.9988187,0.000053548727,0.00040006381,0.0000059633844,0.0000055550618,0.0000023174705,0.00002243717,0.0000031854315,0.00068820716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998338,0.00001795789,0.000011401119,0.000031363143,0.00004700973,0.000058379876],"domain_scores_gemma":[0.9996846,0.000026079766,0.00010726684,0.00002762375,0.000040069084,0.00011448383],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021158253,0.0002948739,0.00032536447,0.0014286165,0.0008389866,0.0010132293,0.00020737057,0.00025673263,0.0019080545],"category_scores_gemma":[0.00057484256,0.00014760999,0.00021284433,0.0005252571,0.0026084834,0.0014709801,0.0013436864,0.00035796812,0.0001683796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031983334,0.00003656018,0.018390717,0.00007374767,0.000030733314,0.0008005589,0.0019649754,0.0037227601,0.018216228,0.9446868,0.00044304426,0.011314012],"study_design_scores_gemma":[0.00006497084,0.0002512171,0.03140308,0.00011170848,0.000043141285,0.0024237728,0.003378871,0.016564183,0.013153786,0.9233745,0.009156885,0.00007395664],"about_ca_topic_score_codex":0.0018150106,"about_ca_topic_score_gemma":0.0013859933,"teacher_disagreement_score":0.0019080545,"about_ca_system_score_codex":0.00056589965,"about_ca_system_score_gemma":0.00031681787,"threshold_uncertainty_score":0.006383121},"labels":[],"label_agreement":null},{"id":"W2129660780","doi":"10.1142/s179304211000371x","title":"RAMANUJAN CONGRUENCES FOR SIEGEL MODULAR FORMS","year":2010,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Ramanujan's sum; Congruence relation; Mathematics; Siegel modular form; Modular form; Pure mathematics; Modular design; Ramanujan theta function; Type (biology); Algebra over a field; Computer science","score_opus":0.018161674929133214,"score_gpt":0.3594280317754529,"score_spread":0.3412663568463197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2129660780","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74879867,0.0006131279,0.103868544,0.0012657457,0.000546909,0.00029519046,0.00021541049,0.0002316028,0.14416482],"genre_scores_gemma":[0.96097267,0.00030636226,0.024222335,0.00018460411,0.00045210053,0.00017939894,0.00020252456,0.00008710274,0.013392877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975259,0.0004995288,0.0002065721,0.00039119794,0.00088353077,0.00049333775],"domain_scores_gemma":[0.99614954,0.0014301557,0.0005995693,0.00041023642,0.00070585683,0.000704671],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022927523,0.0008923647,0.0010874801,0.002658024,0.0028368267,0.0037437628,0.00088048086,0.0010962653,0.0072153294],"category_scores_gemma":[0.01000892,0.00068495,0.0012113012,0.0010375486,0.004357112,0.0037456288,0.0028894588,0.0027497606,0.0013677034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025056053,0.000029145971,0.0005515369,0.000027090684,0.000006619758,0.00023049382,0.00040079153,0.00046788738,0.0036707602,0.9918997,0.0004041394,0.0022867667],"study_design_scores_gemma":[0.000037234422,0.000047565405,0.0005777252,0.000022585842,0.000007583246,0.00042810582,0.00021179461,0.0042963694,0.0036263845,0.9881213,0.0025950435,0.00002833164],"about_ca_topic_score_codex":0.00030464205,"about_ca_topic_score_gemma":0.00042520088,"teacher_disagreement_score":0.0072153294,"about_ca_system_score_codex":0.0010927161,"about_ca_system_score_gemma":0.0008962452,"threshold_uncertainty_score":0.024137676},"labels":[],"label_agreement":null},{"id":"W2129789369","doi":"10.4064/sm220-3-2","title":"Dimensions of components of tensor products of representations of linear groups with applications to Beurling–Fourier algebras","year":2014,"lang":"en","type":"article","venue":"Studia Mathematica","topic":"Advanced Algebra and Geometry","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":"Engineering and Physical Sciences Research Council; Ministry of Education, Science and Technology; National Research Foundation of Korea; Natural Sciences and Engineering Research Council of Canada; Chungbuk National University; Deutsche Forschungsgemeinschaft; National Research Foundation; University of Ottawa; Alexander von Humboldt-Stiftung","keywords":"Tensor product; Tensor (intrinsic definition); Product (mathematics); Group (periodic table); Tensor product of modules; Algebra over a field; General linear group; Tensor product of algebras","score_opus":0.03721399587116781,"score_gpt":0.3201153818879691,"score_spread":0.2829013860168013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2129789369","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79396504,0.003246301,0.14744662,0.0016159993,0.00051018054,0.00006120202,0.0003362457,0.00042913618,0.052389346],"genre_scores_gemma":[0.9719505,0.0011372026,0.018430345,0.00015750948,0.00044126672,0.00006338755,0.00021406054,0.00018298083,0.0074227867],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986218,0.00023141342,0.00013077128,0.00031678102,0.0004185623,0.00028060828],"domain_scores_gemma":[0.9969223,0.00093538756,0.00053352007,0.0003466563,0.0004080549,0.00085406896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015678409,0.0016955868,0.0010993676,0.005831888,0.0023055344,0.0036098268,0.0015326492,0.0011990612,0.007006512],"category_scores_gemma":[0.0042507704,0.0008807921,0.0013843207,0.0022625432,0.0042724153,0.008454656,0.0039132396,0.003410598,0.0006188455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004241568,0.000022520717,0.00048389734,0.000045962024,0.00001378273,0.00007760172,0.0004118597,0.00084174564,0.001971843,0.99164444,0.00045372022,0.0039902693],"study_design_scores_gemma":[0.000010149874,0.00003503244,0.0007824668,0.000028677987,0.000026724376,0.00021582894,0.0001859359,0.00875718,0.0026509098,0.9846368,0.002633542,0.00003682667],"about_ca_topic_score_codex":0.00063040596,"about_ca_topic_score_gemma":0.0005729178,"teacher_disagreement_score":0.007006512,"about_ca_system_score_codex":0.0013999303,"about_ca_system_score_gemma":0.00040895765,"threshold_uncertainty_score":0.023439169},"labels":[],"label_agreement":null},{"id":"W2130027674","doi":"10.1016/j.jnt.2015.10.015","title":"Counting square discriminants","year":2015,"lang":"en","type":"preprint","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","keywords":"Mathematics; Discriminant; Quadratic equation; Series (stratigraphy); Binary number; Square root; Binary quadratic form; Square (algebra); Quadratic form (statistics); Analytic number theory; Convolution (computer science); Dirichlet series; Pure mathematics; Fourier series; Dirichlet distribution; Statistics; Arithmetic; Mathematical analysis; Quadratic function; Computer science; Artificial intelligence; Geometry","score_opus":0.07481020228742592,"score_gpt":0.37677915532077316,"score_spread":0.30196895303334725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130027674","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45429686,0.0037366727,0.21302211,0.008985136,0.0032929478,0.000122003185,0.0009184064,0.0011515323,0.31447437],"genre_scores_gemma":[0.8894935,0.0010584095,0.03268414,0.00076060236,0.0021417828,0.00007617395,0.00050008076,0.0004428476,0.07284237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869543,0.00026033184,0.00007245686,0.00031579714,0.00050943653,0.00014654537],"domain_scores_gemma":[0.9963798,0.0014166306,0.00044898636,0.0005096019,0.0006848947,0.00056016137],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014058528,0.001027661,0.0012211272,0.005645636,0.0019920934,0.003932705,0.0014590521,0.0013581256,0.014924173],"category_scores_gemma":[0.00986985,0.00063363306,0.0005958609,0.0025622195,0.0038248636,0.008003941,0.0032582874,0.0033249317,0.0021365627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057040328,0.000021988364,0.0009529346,0.00006796749,0.00000972236,0.00008001268,0.00017700873,0.0004489435,0.0010130875,0.9769109,0.0050162184,0.015244105],"study_design_scores_gemma":[0.00000962853,0.0000085523325,0.0003878128,0.000016942391,0.000012076373,0.0002471196,0.00006373858,0.0038184253,0.0005674213,0.9894694,0.005387003,0.000011801632],"about_ca_topic_score_codex":0.00044658667,"about_ca_topic_score_gemma":0.0005106615,"teacher_disagreement_score":0.014924173,"about_ca_system_score_codex":0.0012665596,"about_ca_system_score_gemma":0.0005057556,"threshold_uncertainty_score":0.04992634},"labels":[],"label_agreement":null},{"id":"W2131884894","doi":"10.1112/s1461157012001155","title":"Ternary quadratic forms and half-integral weight modular forms","year":2012,"lang":"en","type":"preprint","venue":"LMS Journal of Computation and Mathematics","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Integer (computer science); Modular form; Ternary operation; Subspace topology; Basis (linear algebra); Combinatorics; Quadratic equation; Modular design; Linear subspace; Space (punctuation); Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Computer science","score_opus":0.0325693674990986,"score_gpt":0.31984100238518826,"score_spread":0.28727163488608964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131884894","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9295941,0.00011170776,0.056818165,0.00014774619,0.00004912679,0.000016263562,0.000058518373,0.00007098194,0.013133389],"genre_scores_gemma":[0.9798034,0.00008700898,0.015358072,0.000039008904,0.000039168455,0.000015742216,0.00008928478,0.000034410536,0.0045340136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984574,0.000023792845,0.0000063881484,0.000020221882,0.000068760855,0.000034989967],"domain_scores_gemma":[0.9998522,0.000016918166,0.000024272871,0.00002619857,0.00003197816,0.000048391244],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002574614,0.00032697275,0.00033849262,0.0009579381,0.00064926525,0.00066424627,0.0006206775,0.00037240278,0.00532119],"category_scores_gemma":[0.0005965275,0.00012588585,0.00033567657,0.00054226635,0.0011330604,0.0011861088,0.0012292975,0.00075200445,0.00067161315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000107415486,0.000062463856,0.0011278037,0.000042936717,0.000009121134,0.00018745674,0.00028769983,0.0066383174,0.014883149,0.95635414,0.0008715058,0.019428065],"study_design_scores_gemma":[0.000035013327,0.00009226542,0.0014853136,0.000027197815,0.000008585541,0.00033800825,0.00033132156,0.058923572,0.011964501,0.92241865,0.0043434,0.00003208343],"about_ca_topic_score_codex":0.0002807806,"about_ca_topic_score_gemma":0.0005162435,"teacher_disagreement_score":0.00532119,"about_ca_system_score_codex":0.00035113367,"about_ca_system_score_gemma":0.00028646353,"threshold_uncertainty_score":0.017801225},"labels":[],"label_agreement":null},{"id":"W2133056654","doi":"10.1016/j.laa.2005.11.020","title":"Structure of isometry group of bilinear spaces","year":2006,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Mathematics; Orthogonal group; Indecomposable module; Isometry group; Semidirect product; Group (periodic table); Bilinear form; Pure mathematics; Algebraically closed field; Isometry (Riemannian geometry); Classical group; General linear group; Product (mathematics); Lie group; Symmetric group","score_opus":0.012314300516163381,"score_gpt":0.2775421319195143,"score_spread":0.26522783140335093,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133056654","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6485841,0.0018767875,0.2011664,0.004714197,0.0015649684,0.00015581424,0.00051805336,0.00043783677,0.14098182],"genre_scores_gemma":[0.95287865,0.00083579187,0.014999872,0.0006891788,0.0012720424,0.000112472,0.00029874744,0.00013573507,0.028777665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991647,0.00019001267,0.000043496762,0.00019998055,0.00022922724,0.0001725585],"domain_scores_gemma":[0.99889094,0.00020369791,0.00018371991,0.0001416186,0.00024234776,0.00033767134],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094694976,0.0008221552,0.0011144828,0.0028340237,0.0022335525,0.002699725,0.0013200915,0.0011701159,0.008157062],"category_scores_gemma":[0.0017917985,0.00047049444,0.00078676763,0.0013576484,0.003056006,0.0054759155,0.0027665023,0.00307093,0.0009907283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026526995,0.000025148976,0.0001432487,0.000013881671,0.0000042015495,0.000052236817,0.00030185064,0.0001741601,0.00071463885,0.9955935,0.0004162207,0.002534348],"study_design_scores_gemma":[0.000015901856,0.000039414448,0.00017769917,0.0000049657106,0.0000047778963,0.00011354799,0.00012519928,0.0014117496,0.00036839722,0.9954627,0.0022660901,0.000009563027],"about_ca_topic_score_codex":0.00074712106,"about_ca_topic_score_gemma":0.00036008077,"teacher_disagreement_score":0.008157062,"about_ca_system_score_codex":0.00118183,"about_ca_system_score_gemma":0.0009659529,"threshold_uncertainty_score":0.027288139},"labels":[],"label_agreement":null},{"id":"W2133972456","doi":"10.7169/facm/2013.49.2.2","title":"The critical values of $L$-functions of CM-base change for Hilbert modular forms","year":2013,"lang":"en","type":"article","venue":"Functiones et Approximatio Commentarii Mathematici","topic":"Advanced Algebra and Geometry","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":"Base change; Mathematics; Modular form; Base (topology); Pure mathematics; Modular design; Quadratic equation; Order (exchange); Algebra over a field; Mathematical analysis; Geometry; Computer science","score_opus":0.08049831727501525,"score_gpt":0.3425822940302575,"score_spread":0.2620839767552422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133972456","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8699949,0.0017667415,0.058217075,0.0010315735,0.00037292854,0.00006856871,0.000096503085,0.0003185591,0.06813322],"genre_scores_gemma":[0.9898998,0.00052581995,0.0034025789,0.000108406115,0.00022698066,0.0000548835,0.00007385932,0.000099103694,0.0056087254],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956864,0.000093435185,0.000015354453,0.000076360295,0.000074241114,0.0001719482],"domain_scores_gemma":[0.99850523,0.0004172939,0.00023754727,0.00011775097,0.00021276488,0.0005094117],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010858523,0.0011822212,0.00079069246,0.0043086614,0.002385997,0.0029852774,0.0011998849,0.0012150174,0.0062730913],"category_scores_gemma":[0.0047372435,0.00041572575,0.0008594602,0.0009900994,0.0048816376,0.0055397153,0.0020091925,0.0025774855,0.00079235074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000108843655,0.000053239866,0.0013206716,0.00013643659,0.000018129438,0.0005025601,0.0008569467,0.0022786353,0.0072276276,0.98088926,0.00074414205,0.0058635613],"study_design_scores_gemma":[0.00004368825,0.00009380734,0.0027361438,0.00009067407,0.000026286338,0.0006473973,0.00061468204,0.016378049,0.009725918,0.96642727,0.0031368218,0.00007935335],"about_ca_topic_score_codex":0.00046010411,"about_ca_topic_score_gemma":0.00023567946,"teacher_disagreement_score":0.0062730913,"about_ca_system_score_codex":0.0020669852,"about_ca_system_score_gemma":0.0008173079,"threshold_uncertainty_score":0.020985603},"labels":[],"label_agreement":null},{"id":"W2135722577","doi":"10.1142/s1793042111004769","title":"ALGEBRAIC INDEPENDENCE OF VALUES OF MODULAR FORMS","year":2011,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Modular form; Eisenstein series; Algebraic number; Fourier series; Pure mathematics; Modular design; Hecke operator; Algebra over a field; Singular point of an algebraic variety; Modular curve; Independence (probability theory); Dedekind eta function; Modular elliptic curve; Mathematical analysis; Elliptic curve; Statistics; Computer science","score_opus":0.03827716132830453,"score_gpt":0.32845527284140996,"score_spread":0.2901781115131054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135722577","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84719723,0.00051162415,0.048509516,0.00065638736,0.00012236212,0.000045712484,0.00009884713,0.000093066716,0.10276526],"genre_scores_gemma":[0.99185395,0.0002013449,0.0029909844,0.000039991435,0.00012143849,0.00001612275,0.000042725136,0.00003114174,0.004702198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934155,0.00009769851,0.000028915838,0.00012390633,0.00023859255,0.00016923762],"domain_scores_gemma":[0.99818534,0.0006010886,0.00033909804,0.00023501206,0.00033171233,0.00030769617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008046474,0.000558407,0.00049717695,0.0025673734,0.0010134681,0.0021751225,0.00081420876,0.00059509923,0.005354962],"category_scores_gemma":[0.0057117427,0.00028699797,0.00051713194,0.00080671336,0.0035894047,0.0041028387,0.0020508636,0.0017605778,0.00057351467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052122683,0.000041043688,0.0012964078,0.00006296556,0.000009008813,0.0003207147,0.000249199,0.00091742224,0.0052420236,0.98509336,0.0002591954,0.0064564263],"study_design_scores_gemma":[0.000029941943,0.00008373962,0.001771758,0.000047325564,0.000016836562,0.0007677212,0.00022685314,0.008605899,0.0047570034,0.9812851,0.002375542,0.000032244898],"about_ca_topic_score_codex":0.00017541341,"about_ca_topic_score_gemma":0.00017223966,"teacher_disagreement_score":0.005354962,"about_ca_system_score_codex":0.00061955187,"about_ca_system_score_gemma":0.00035299378,"threshold_uncertainty_score":0.017914176},"labels":[],"label_agreement":null},{"id":"W2136955889","doi":"10.1112/s0010437x14007507","title":"Unitary cycles on Shimura curves and the Shimura lift II","year":2014,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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; Deutsche Forschungsgemeinschaft","keywords":"Shimura variety; Mathematics; Unitary state; Lift (data mining); Modular form; Pure mathematics; Algebra over a field; Computer science","score_opus":0.021931603734880973,"score_gpt":0.28868077686910365,"score_spread":0.2667491731342227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2136955889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96164864,0.00036366723,0.011686459,0.00030298956,0.00005442472,0.000020095711,0.000027674247,0.000058459686,0.025837515],"genre_scores_gemma":[0.9946497,0.00020170247,0.0018983517,0.000023688166,0.00006262631,0.00001191893,0.000023501827,0.000011067207,0.0031174798],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998023,0.000035300513,0.0000074701225,0.000029207938,0.00006487497,0.000060839167],"domain_scores_gemma":[0.99977916,0.000037663405,0.00004580212,0.00002627006,0.000025699768,0.000085428575],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031852478,0.00045672955,0.0003725054,0.0019776893,0.0013346277,0.0015306139,0.00039792238,0.0006781611,0.0037139093],"category_scores_gemma":[0.00102108,0.0001939757,0.0004150253,0.00081576465,0.0019399832,0.0018057851,0.0012422174,0.00087287853,0.00031361106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038325168,0.000023881916,0.0011234204,0.000021707952,0.000004445422,0.0004180269,0.00064243726,0.0013040203,0.0023973184,0.98598415,0.00032594602,0.0077162646],"study_design_scores_gemma":[0.000023033797,0.00008954226,0.0037636247,0.00005665566,0.000018215362,0.0010046584,0.0008364524,0.017151887,0.0037325346,0.9649603,0.008323086,0.000040031075],"about_ca_topic_score_codex":0.000649032,"about_ca_topic_score_gemma":0.00047451447,"teacher_disagreement_score":0.0037139093,"about_ca_system_score_codex":0.00085713796,"about_ca_system_score_gemma":0.00028956114,"threshold_uncertainty_score":0.012424231},"labels":[],"label_agreement":null},{"id":"W2138241481","doi":"10.1017/s0013091512000144","title":"Commuting elements in central products of special unitary groups","year":2012,"lang":"en","type":"preprint","venue":"Proceedings of the Edinburgh Mathematical Society","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Defense Advanced Research Projects Agency","keywords":"Unitary state; Mathematics; Moduli space; Prime (order theory); Product (mathematics); Group (periodic table); Torus; Space (punctuation); Combinatorics; Computation; Special unitary group; Geometry; Path (computing); Pure mathematics; Physics; Mathematical physics; Computer science; Quantum mechanics; Algorithm","score_opus":0.03852721407043057,"score_gpt":0.29434470419845093,"score_spread":0.25581749012802035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2138241481","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9823775,0.00010039843,0.012103302,0.00007710871,0.000027910255,0.000015148269,0.00001753109,0.000061398496,0.0052197534],"genre_scores_gemma":[0.9954822,0.000047261743,0.0025672938,0.000022270364,0.000039555267,0.00002150029,0.00003309104,0.000021111315,0.0017656855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990876,0.00019488804,0.000053874417,0.00021546007,0.00021079215,0.00023747305],"domain_scores_gemma":[0.9987388,0.0003324725,0.0002156899,0.00015040187,0.00014211002,0.0004204141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011976287,0.0004853318,0.0007764006,0.0014073906,0.0016775014,0.0021947997,0.0007347899,0.00073219556,0.0051136804],"category_scores_gemma":[0.0019949519,0.00033104658,0.0005517269,0.00068772235,0.0044522565,0.0032516737,0.002539747,0.00086215377,0.00036548285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020343326,0.00008235971,0.001782873,0.000044065902,0.00001862998,0.00066615146,0.0013857505,0.0012299278,0.008043689,0.98143584,0.00031853907,0.004788745],"study_design_scores_gemma":[0.00007820059,0.0003137222,0.0022959334,0.000024799263,0.00003191801,0.0010454126,0.001065181,0.012639871,0.010579844,0.9690851,0.002801534,0.000038405087],"about_ca_topic_score_codex":0.00031096427,"about_ca_topic_score_gemma":0.00029736874,"teacher_disagreement_score":0.0051136804,"about_ca_system_score_codex":0.0006730549,"about_ca_system_score_gemma":0.00047241853,"threshold_uncertainty_score":0.01710701},"labels":[],"label_agreement":null},{"id":"W2141954349","doi":"10.1007/s11856-014-1045-8","title":"Overconvergent modular sheaves and modular forms for GL 2/F","year":2014,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"","keywords":"Mathematics; Modular form; Modular design; Prime (order theory); Pure mathematics; Field (mathematics); Construct (python library); Integer (computer science); Algebra over a field; Arithmetic; Combinatorics; Computer science; Programming language","score_opus":0.026029495423743415,"score_gpt":0.3017200379278289,"score_spread":0.27569054250408553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141954349","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8149996,0.0021337536,0.061571304,0.0032389604,0.0007975962,0.000076590804,0.000253747,0.0004922975,0.11643625],"genre_scores_gemma":[0.97090155,0.0007781761,0.0056563383,0.0004120886,0.00077899144,0.000042613887,0.00020975528,0.0001048363,0.021115603],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926573,0.0001456386,0.000037707767,0.00017774176,0.0001847339,0.00018841951],"domain_scores_gemma":[0.99902725,0.00023592514,0.0002178333,0.00010768979,0.00009865117,0.00031266836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001297623,0.0024259328,0.0011495398,0.004358008,0.0034237758,0.004133652,0.001524798,0.001902359,0.009958886],"category_scores_gemma":[0.002585049,0.00077625155,0.0010875061,0.0021485658,0.0054486156,0.0076611824,0.003990123,0.004503161,0.00095453835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007632226,0.000063303436,0.0005020171,0.000029214361,0.000011437475,0.00022925291,0.00062015903,0.00038742775,0.0012541931,0.98990726,0.000756434,0.006163034],"study_design_scores_gemma":[0.000032348566,0.000039086826,0.00046626633,0.000011403024,0.000010463534,0.00021640201,0.00017660145,0.0011837237,0.00039901407,0.99573755,0.0017082627,0.000019001876],"about_ca_topic_score_codex":0.0008094901,"about_ca_topic_score_gemma":0.0008355738,"teacher_disagreement_score":0.009958886,"about_ca_system_score_codex":0.0016474569,"about_ca_system_score_gemma":0.00063621276,"threshold_uncertainty_score":0.033315837},"labels":[],"label_agreement":null},{"id":"W2142050927","doi":"10.4171/dm/363","title":"Basic polynomial invariants, fundamental representations and the Chern class map","year":2012,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Class (philosophy); Pure mathematics; Chern class; Polynomial; Algebra over a field; Bracket polynomial; Matrix polynomial; Mathematical analysis; Square-free polynomial; Artificial intelligence","score_opus":0.03286232741012414,"score_gpt":0.32627517639035986,"score_spread":0.29341284898023573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142050927","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94884795,0.0009590702,0.017709492,0.00055653707,0.000077826066,0.000018709936,0.00012722344,0.00013506337,0.031568218],"genre_scores_gemma":[0.9951944,0.00036396788,0.0010989767,0.000025681476,0.00010263983,0.000008691649,0.000072254654,0.000012169553,0.00312138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966407,0.000028488406,0.000008621912,0.00004845602,0.00009049195,0.0001599367],"domain_scores_gemma":[0.9988115,0.0003162299,0.00029824968,0.000076374745,0.00009849846,0.00039917373],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058225007,0.0004927285,0.0005085194,0.0035457148,0.0010756847,0.0018065056,0.000679635,0.00046968894,0.0043957806],"category_scores_gemma":[0.001832752,0.0002394694,0.00043626537,0.0012495266,0.003093732,0.003121075,0.00211094,0.0013263784,0.00039930313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000105050996,0.00006910588,0.005780415,0.00006016794,0.000018397006,0.0003244995,0.00063471304,0.0031557528,0.0030764146,0.96993375,0.0009339095,0.015907796],"study_design_scores_gemma":[0.000025221681,0.000083463055,0.008864048,0.00003072766,0.000023203105,0.00035867805,0.00035345202,0.011201275,0.0022933253,0.9729388,0.0037915618,0.000036222333],"about_ca_topic_score_codex":0.0020055196,"about_ca_topic_score_gemma":0.0012540664,"teacher_disagreement_score":0.0043957806,"about_ca_system_score_codex":0.0015975062,"about_ca_system_score_gemma":0.00052821345,"threshold_uncertainty_score":0.01470536},"labels":[],"label_agreement":null},{"id":"W2143833056","doi":"10.1142/s1793042114500067","title":"Sign changes of Fourier coefficients of half-integral weight cusp forms","year":2013,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cusp (singularity); Sign (mathematics); Cusp form; Fourier series; Fourier analysis; Fourier transform; Mathematical analysis; Space (punctuation); Geometry","score_opus":0.01724733829035756,"score_gpt":0.3096834865535986,"score_spread":0.29243614826324105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143833056","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9235874,0.00030868792,0.060913958,0.00034184824,0.00023326535,0.000027084205,0.00010138504,0.0001662097,0.014320202],"genre_scores_gemma":[0.984632,0.0002771145,0.009673026,0.00009046776,0.00013322894,0.000039878596,0.00011625411,0.00011390948,0.004924061],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99895895,0.00018306675,0.00006205351,0.00017965368,0.00041124667,0.00020509739],"domain_scores_gemma":[0.9956617,0.0015413938,0.00076583825,0.0006035644,0.000633335,0.00079426187],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015527228,0.0007353976,0.0006591025,0.002806118,0.0012554683,0.0022239794,0.001490759,0.0013121851,0.0070948726],"category_scores_gemma":[0.011546732,0.0004908113,0.00076275965,0.0009289826,0.0036656184,0.004622356,0.0019316383,0.0018992905,0.0005835129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006031879,0.00016238127,0.008457234,0.0002293031,0.00005536316,0.0011800254,0.0007958721,0.0067464835,0.055233654,0.8835139,0.0015966054,0.04142583],"study_design_scores_gemma":[0.00008868922,0.00020170958,0.0074229767,0.00008885999,0.000058091413,0.0026551685,0.00045699667,0.055071205,0.024701264,0.9062929,0.0028226627,0.00013947279],"about_ca_topic_score_codex":0.0001861599,"about_ca_topic_score_gemma":0.00014140717,"teacher_disagreement_score":0.0070948726,"about_ca_system_score_codex":0.0005257657,"about_ca_system_score_gemma":0.00037796402,"threshold_uncertainty_score":0.023734689},"labels":[],"label_agreement":null},{"id":"W2144077305","doi":"10.1215/21562261-3089019","title":"On an invariance property of the space of smooth vectors","year":2015,"lang":"en","type":"article","venue":"Kyoto journal of mathematics","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"","keywords":"Mathematics; Combinatorics; Linear subspace; Unitary representation; Space (punctuation); Lie group; Product (mathematics); Pure mathematics; Geometry","score_opus":0.07052234255506835,"score_gpt":0.3156095493628209,"score_spread":0.24508720680775253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144077305","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79280883,0.000841391,0.16129619,0.0010841284,0.00017701826,0.00005392999,0.0005142361,0.0001858241,0.04303848],"genre_scores_gemma":[0.9783014,0.00033713027,0.013542259,0.00017837074,0.00026386944,0.00006171869,0.0005019084,0.000073856616,0.0067394013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990596,0.00017789671,0.00005954947,0.00028267174,0.00025100284,0.00016916294],"domain_scores_gemma":[0.99821776,0.0005018681,0.00032153603,0.0003383835,0.00032799755,0.0002924457],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092594716,0.00037628942,0.0005162408,0.0011293149,0.00068741664,0.0017242022,0.0006667976,0.00046131556,0.0036193081],"category_scores_gemma":[0.0026682992,0.00018968467,0.00078099757,0.0004253677,0.0030103836,0.0024383594,0.0025192543,0.0013661159,0.00040506973],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000818011,0.00004743224,0.0013808507,0.000035535813,0.000021785572,0.00018329002,0.00041859105,0.001130073,0.008208595,0.9784694,0.0004339687,0.009588697],"study_design_scores_gemma":[0.000043309792,0.0003076276,0.006249897,0.00002524439,0.000020805313,0.00041707762,0.00030063416,0.026283743,0.005656118,0.9536971,0.006956739,0.000041662104],"about_ca_topic_score_codex":0.0008292956,"about_ca_topic_score_gemma":0.00031046337,"teacher_disagreement_score":0.0036193081,"about_ca_system_score_codex":0.00057855836,"about_ca_system_score_gemma":0.00034773612,"threshold_uncertainty_score":0.0121077895},"labels":[],"label_agreement":null},{"id":"W2144137757","doi":"10.1016/j.jnt.2014.02.011","title":"Arithmetic volumes for lattices over p-adic rings","year":2014,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; IIlinois State Museum","keywords":"Unimodular matrix; Mathematics; Reduction (mathematics); Pure mathematics; Combinatorics; Algebra over a field; Arithmetic; Discrete mathematics; Geometry","score_opus":0.020427477556728236,"score_gpt":0.32707924189800147,"score_spread":0.3066517643412732,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144137757","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6648931,0.004162147,0.12767808,0.0051195677,0.0006540241,0.000069192676,0.0009211755,0.00039140007,0.19611134],"genre_scores_gemma":[0.97398436,0.0010467212,0.00985204,0.0001867874,0.0010318299,0.000064926084,0.0003588126,0.000089111585,0.013385389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991302,0.00020056916,0.000040998817,0.00014279509,0.0003378985,0.0001476469],"domain_scores_gemma":[0.9975599,0.0013186028,0.00037156563,0.00013788279,0.00023163675,0.00038032085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011903255,0.0007155021,0.0008231335,0.0036448196,0.0019779848,0.004868704,0.0013459251,0.00065123657,0.007736878],"category_scores_gemma":[0.004061283,0.0005936097,0.0005015286,0.0020661317,0.0048438483,0.007926365,0.002689272,0.0024032108,0.00076150143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027298564,0.000008421787,0.00017451888,0.000023281256,0.000004136666,0.00002054999,0.00014967032,0.0008334172,0.0002185997,0.99510264,0.0005943309,0.0028430542],"study_design_scores_gemma":[0.000009710825,0.000007918764,0.00022406325,0.000007711947,0.000004676551,0.00004469161,0.00008150027,0.001968892,0.00021435859,0.9955102,0.0019190917,0.0000071351124],"about_ca_topic_score_codex":0.0007653652,"about_ca_topic_score_gemma":0.000826629,"teacher_disagreement_score":0.007736878,"about_ca_system_score_codex":0.0014710543,"about_ca_system_score_gemma":0.00060142623,"threshold_uncertainty_score":0.025882483},"labels":[],"label_agreement":null},{"id":"W2144771933","doi":"10.1023/a:1019667617221","title":"Tame Supercuspidal Representations of GL( <i>n</i> ) Distinguished by a Unitary Group","year":2002,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Unitary state; Pure mathematics; Invariant (physics); Irreducible representation; Dimension (graph theory); Quadratic equation; Space (punctuation); Field (mathematics); Unitary group; Representation (politics); Algebra over a field; Geometry; Mathematical physics","score_opus":0.032069747711071246,"score_gpt":0.2918116044091126,"score_spread":0.25974185669804134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144771933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9612218,0.00030442106,0.018610157,0.00023036946,0.000044868382,0.0000119111355,0.00007222612,0.00008231163,0.019421857],"genre_scores_gemma":[0.99495935,0.0001306433,0.0022210018,0.00002763508,0.00005922267,0.0000066479206,0.00005204438,0.00001286432,0.0025306237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959964,0.00007551671,0.00001729016,0.00006831983,0.000100561556,0.00013873987],"domain_scores_gemma":[0.9995584,0.00009305488,0.00011704981,0.00006594578,0.000034389843,0.00013117986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043605786,0.00038985148,0.00037663017,0.0012250462,0.0010363498,0.0017599813,0.00037584058,0.00028783566,0.0035481332],"category_scores_gemma":[0.00078938925,0.0001560667,0.00040218089,0.0006468278,0.002497394,0.0023619966,0.001624257,0.0009250208,0.0003207955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000116097464,0.000039294766,0.0017556404,0.00003088355,0.000013487251,0.0003841188,0.0012600417,0.0014914278,0.003942081,0.9739798,0.00048426382,0.016502982],"study_design_scores_gemma":[0.000028780074,0.0001661694,0.002775074,0.000024026112,0.000019566314,0.00075531757,0.0011913156,0.010842641,0.004824306,0.9724706,0.0068663633,0.000036007907],"about_ca_topic_score_codex":0.000460253,"about_ca_topic_score_gemma":0.00033546975,"teacher_disagreement_score":0.0035481332,"about_ca_system_score_codex":0.000528814,"about_ca_system_score_gemma":0.00025352932,"threshold_uncertainty_score":0.011869729},"labels":[],"label_agreement":null},{"id":"W2144838005","doi":"10.1093/qmath/har037","title":"LOOP GROUPS AND HOLOMORPHIC BUNDLES","year":2011,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"","keywords":"Flag (linear algebra); Holomorphic function; Mathematics; Instanton; Moduli; Pure mathematics; Moduli space; Group (periodic table); Loop (graph theory); Geometry; Mathematical analysis; Combinatorics; Algebra over a field; Physics; Mathematical physics","score_opus":0.06133481198372789,"score_gpt":0.28272073294347605,"score_spread":0.22138592095974816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144838005","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93232465,0.002396869,0.013978467,0.0014501273,0.00009923388,0.000015813543,0.000106639214,0.00009744862,0.04953074],"genre_scores_gemma":[0.9929351,0.0004979022,0.0011109494,0.00004812586,0.00013071104,0.0000050650906,0.000051081304,0.000011372004,0.0052096546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99980205,0.000044108005,0.000007898843,0.00004073826,0.00005966703,0.000045526198],"domain_scores_gemma":[0.9995939,0.00012022817,0.00009907333,0.00003227191,0.000056239805,0.00009835072],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028810994,0.00042272685,0.00023372499,0.0020716644,0.001097574,0.0017729738,0.00030168155,0.0006601728,0.0043683527],"category_scores_gemma":[0.001078603,0.0001583906,0.00022197801,0.00073576916,0.0018578997,0.0036368866,0.0012253264,0.00064002903,0.0003924131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003679849,0.000018151473,0.0013415788,0.000032039516,0.000011293165,0.00025136463,0.00092299853,0.0014030947,0.0022520816,0.98608893,0.0005736912,0.007068097],"study_design_scores_gemma":[0.000016088983,0.00004290109,0.002200531,0.000018553801,0.000007900713,0.0002754675,0.00046694258,0.005298712,0.0009080251,0.9846905,0.006060788,0.000013671612],"about_ca_topic_score_codex":0.00078493817,"about_ca_topic_score_gemma":0.00050764333,"teacher_disagreement_score":0.0043683527,"about_ca_system_score_codex":0.00070423045,"about_ca_system_score_gemma":0.00019177714,"threshold_uncertainty_score":0.014613628},"labels":[],"label_agreement":null},{"id":"W2145595809","doi":"10.1016/j.aim.2015.12.004","title":"Proof of the Ghahramani–Lau conjecture","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Fields Institute for Research in Mathematical Sciences; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Locally compact group; Measure (data warehouse); Invariant (physics); Locally compact space; Pure mathematics; Algebra over a field; Group algebra; Discrete mathematics; Combinatorics","score_opus":0.015832797888726814,"score_gpt":0.3042960383903442,"score_spread":0.28846324050161737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145595809","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12192252,0.011881763,0.18077339,0.10136668,0.0076994402,0.00013064567,0.0016438345,0.0011842914,0.5733975],"genre_scores_gemma":[0.8878573,0.004068657,0.041793194,0.007644794,0.003964363,0.00017272746,0.0010294045,0.00030226752,0.053167347],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989009,0.00024634137,0.000039414615,0.00023856126,0.0003386441,0.00023606072],"domain_scores_gemma":[0.99652916,0.0017993127,0.00025712012,0.00047270255,0.0006291422,0.00031267724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018503916,0.0011742024,0.0013579974,0.0018416694,0.0023225104,0.002715648,0.0018480846,0.0019141784,0.022639465],"category_scores_gemma":[0.0069838827,0.0005769952,0.0014914761,0.0016540902,0.0050571472,0.006461337,0.005974281,0.0065709194,0.004207231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008865773,0.000050124545,0.00041962002,0.00017886994,0.000029059482,0.0002469978,0.00058552285,0.00080681185,0.0009733897,0.96648574,0.021137988,0.008997311],"study_design_scores_gemma":[0.000035331068,0.000016866534,0.0005861981,0.000041838884,0.000017008208,0.00017962269,0.000122004705,0.0027823944,0.0003960254,0.98136544,0.014438197,0.00001915723],"about_ca_topic_score_codex":0.0021636433,"about_ca_topic_score_gemma":0.0016886387,"teacher_disagreement_score":0.022639465,"about_ca_system_score_codex":0.0018656169,"about_ca_system_score_gemma":0.0012432424,"threshold_uncertainty_score":0.07573652},"labels":[],"label_agreement":null},{"id":"W2146209159","doi":"","title":"Individual Statements on E.P. Thompson [Alice Kessler-Harris]","year":2014,"lang":"en","type":"article","venue":"Labour / Le Travail","topic":"Advanced Algebra and Geometry","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":"Alice (programming language); Psychology; Sociology; Art; Art history","score_opus":0.03459383066169145,"score_gpt":0.32246495812253373,"score_spread":0.28787112746084226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146209159","genre_codex":"commentary","genre_gemma":"commentary","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"commentary","genre_consensus":"commentary","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016749047,0.032750323,0.0053583947,0.5040986,0.10877008,0.00005885409,0.0014628792,0.00060279836,0.34522322],"genre_scores_gemma":[0.020112582,0.011051132,0.0013800998,0.06266436,0.03834314,0.00008007819,0.00046855197,0.000690408,0.86520964],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99899286,0.00024731294,0.000037855625,0.00020938198,0.0004381562,0.000074459625],"domain_scores_gemma":[0.99783474,0.0007412303,0.00012580339,0.00012408094,0.00083685294,0.00033725417],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009574768,0.0005649404,0.0005632594,0.0008633104,0.0027471948,0.002347315,0.00084485894,0.002290865,0.073836],"category_scores_gemma":[0.007355965,0.000250037,0.00031010897,0.0010460035,0.0015933614,0.0019998203,0.0018874839,0.0034453294,0.027286476],"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":[0.00000867323,0.0000031511672,0.000029692348,0.000015663278,0.0000018687683,0.00002093046,0.00007367473,0.000018831568,0.000058865746,0.013555569,0.9814689,0.0047441814],"study_design_scores_gemma":[0.0000032978505,0.0000035293187,0.00016766238,0.00007537773,0.0000020879613,0.0000561559,0.00008414819,0.00005528354,0.000098686745,0.009761044,0.9896829,0.00000979302],"about_ca_topic_score_codex":0.0074059265,"about_ca_topic_score_gemma":0.013193351,"teacher_disagreement_score":0.073836,"about_ca_system_score_codex":0.0024838145,"about_ca_system_score_gemma":0.0013030295,"threshold_uncertainty_score":0.247006},"labels":[],"label_agreement":null},{"id":"W2146828436","doi":"10.1016/s0022-4049(02)00161-5","title":"On 3-graded Lie algebras in a pair of generators: a classification","year":2002,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Graded Lie algebra; Lie algebra; Pure mathematics; Algebra over a field; Lie conformal algebra","score_opus":0.040698377578584,"score_gpt":0.27429362851736827,"score_spread":0.23359525093878428,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146828436","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73741853,0.0036403,0.10322638,0.0030352094,0.0011406017,0.00023576716,0.00050860835,0.00044017288,0.15035446],"genre_scores_gemma":[0.94802254,0.0016579254,0.015928354,0.000524004,0.0005943939,0.00013266318,0.0006766141,0.00010782437,0.032355588],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999463,0.000114167386,0.000046712987,0.000079947495,0.00015491694,0.00014129716],"domain_scores_gemma":[0.9992029,0.00014810784,0.00018814407,0.000090218724,0.0001478335,0.00022271818],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009230487,0.0010131636,0.001232753,0.0036505056,0.0031139825,0.004336665,0.0013750324,0.0021886784,0.007614888],"category_scores_gemma":[0.0011332284,0.0004469657,0.0012112643,0.0029216395,0.003477763,0.004821194,0.0021992684,0.0019360542,0.0017643899],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034912006,0.00004346506,0.0007189728,0.00004454446,0.000009109234,0.00024274489,0.0004038821,0.0002562609,0.00093264185,0.98952127,0.0020820245,0.0057102367],"study_design_scores_gemma":[0.000024515854,0.000047058253,0.0008867068,0.000036297588,0.000016272003,0.0006051727,0.00027824767,0.002419314,0.00053031923,0.98860747,0.0065270555,0.000021561365],"about_ca_topic_score_codex":0.0007460407,"about_ca_topic_score_gemma":0.00066508685,"teacher_disagreement_score":0.007614888,"about_ca_system_score_codex":0.001098863,"about_ca_system_score_gemma":0.0010099111,"threshold_uncertainty_score":0.02547431},"labels":[],"label_agreement":null},{"id":"W2151097186","doi":"10.1090/s0002-9947-03-03428-7","title":"Cartan-decomposition subgroups of SO(2,h)","year":2003,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Universität Bielefeld; National Science Foundation","keywords":"Mathematics; Decomposition; Pure mathematics; Chemistry","score_opus":0.015015818167446546,"score_gpt":0.2935761120770846,"score_spread":0.27856029390963805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151097186","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23545964,0.00093741197,0.08362654,0.0030274014,0.0015856004,0.00016224677,0.0029369292,0.0028405285,0.6694238],"genre_scores_gemma":[0.69513255,0.0005679295,0.024386672,0.0012859013,0.0008045529,0.00011214423,0.0031053636,0.0008841857,0.2737207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997303,0.000046150733,0.000009206305,0.0000562574,0.00006985434,0.00008830904],"domain_scores_gemma":[0.99985325,0.000019847519,0.000015952064,0.000032307296,0.000038880236,0.000039789236],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025815528,0.00073306134,0.00051423704,0.0009559746,0.00118716,0.0015733511,0.00044032704,0.00039372963,0.04700966],"category_scores_gemma":[0.0003629864,0.00021970939,0.00076814287,0.00073626434,0.00086132035,0.0010040671,0.000874304,0.0010776232,0.012273252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010966609,0.000042668707,0.00025242416,0.000059476424,0.000021798427,0.0002440769,0.00053559546,0.0007841404,0.0038970644,0.9258384,0.04168844,0.0265262],"study_design_scores_gemma":[0.0000625255,0.00008027422,0.0012527719,0.00002094302,0.000016343854,0.00023689322,0.00045958,0.004240818,0.0039756666,0.8636004,0.12601408,0.000039709263],"about_ca_topic_score_codex":0.0032939499,"about_ca_topic_score_gemma":0.0030607122,"teacher_disagreement_score":0.04700966,"about_ca_system_score_codex":0.0007655031,"about_ca_system_score_gemma":0.00060219655,"threshold_uncertainty_score":0.15726304},"labels":[],"label_agreement":null},{"id":"W2151921723","doi":"10.48550/arxiv.1205.0669","title":"A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Conjugacy class; Pure mathematics; Affine transformation; Cartan matrix; Kac–Moody algebra; Lie algebra; Cartan decomposition; Affine Lie algebra; Algebra over a field; Adjoint representation of a Lie algebra; Lie conformal algebra; Current algebra","score_opus":0.09916191608488459,"score_gpt":0.23837665265479177,"score_spread":0.13921473656990718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151921723","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28120416,0.0021479898,0.33416468,0.0075909602,0.0017372272,0.000120122146,0.00046111422,0.0003035121,0.37227023],"genre_scores_gemma":[0.9433078,0.00090617576,0.024583356,0.0010884089,0.0009176635,0.000089817244,0.0002634549,0.000093051276,0.028750129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994899,0.00011354556,0.000022657476,0.00008800031,0.00021353112,0.00007243114],"domain_scores_gemma":[0.99919933,0.00026102495,0.00008095327,0.00013816643,0.00019104937,0.0001294154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010435754,0.0005001282,0.00052230497,0.0014679423,0.0023141925,0.0022998936,0.00085998245,0.0008349132,0.009823838],"category_scores_gemma":[0.0024224815,0.00031777864,0.0008379511,0.0009615655,0.003310457,0.00370483,0.0050379345,0.0033401183,0.0011039049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006084126,0.000015241237,0.00016106809,0.000018070597,0.000004425642,0.00009998418,0.00023866125,0.00023184957,0.0004324749,0.9941789,0.0011622539,0.0034509678],"study_design_scores_gemma":[0.000012556584,0.000020849939,0.0004104336,0.000011821485,0.0000072732187,0.000228735,0.0001268089,0.0013058787,0.0006911222,0.98734224,0.009831928,0.000010405],"about_ca_topic_score_codex":0.00056555215,"about_ca_topic_score_gemma":0.00036108936,"teacher_disagreement_score":0.009823838,"about_ca_system_score_codex":0.0010232291,"about_ca_system_score_gemma":0.00079697854,"threshold_uncertainty_score":0.032863975},"labels":[],"label_agreement":null},{"id":"W2152153318","doi":"10.1016/j.jalgebra.2006.02.002","title":"Orbit closure diagram for the space of quadruples of quinary alternating forms","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Quinary; Mathematics; Orbit (dynamics); Diagram; Closure (psychology); Space (punctuation); Pure mathematics; Statistics; Computer science","score_opus":0.022664420985178246,"score_gpt":0.3121324091218961,"score_spread":0.28946798813671787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152153318","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61399,0.00085527723,0.10278871,0.0019697198,0.00088944,0.00014479939,0.00073987787,0.0007541736,0.27786794],"genre_scores_gemma":[0.9611625,0.00036153768,0.010900285,0.00031611562,0.00028098535,0.00007927196,0.00044525784,0.00023114526,0.026223032],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997067,0.000035034678,0.000017119737,0.00005590981,0.000092753246,0.00009242097],"domain_scores_gemma":[0.99964535,0.000068200185,0.000049792307,0.000024616867,0.00008154634,0.00013053259],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047030294,0.00046310655,0.00059757,0.0026680138,0.0020104044,0.0028931238,0.0006834731,0.0010387305,0.015508036],"category_scores_gemma":[0.0005032334,0.00022929019,0.0005443759,0.00069812924,0.0014644084,0.0035970085,0.0015151997,0.0013578933,0.0013906878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026482256,0.000013014546,0.000086302534,0.00001815529,0.0000027433296,0.00013196867,0.00016293454,0.0001259404,0.00157718,0.99506384,0.0006616726,0.0021295839],"study_design_scores_gemma":[0.000032730204,0.00003816115,0.00039619097,0.000016430398,0.000007149483,0.00033647162,0.00026466238,0.0033598666,0.0011887826,0.98777604,0.0065628095,0.000020771993],"about_ca_topic_score_codex":0.0010901007,"about_ca_topic_score_gemma":0.0008336651,"teacher_disagreement_score":0.015508036,"about_ca_system_score_codex":0.000747568,"about_ca_system_score_gemma":0.00047870868,"threshold_uncertainty_score":0.051879525},"labels":[],"label_agreement":null},{"id":"W2153746594","doi":"10.1007/s00222-015-0583-y","title":"Sato–Tate theorem for families and low-lying zeros of automorphic $$L$$ L -functions","year":2015,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":77,"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; Deutsche Forschungsgemeinschaft; Massachusetts Institute of Technology; Simons Foundation; Agence Nationale de la Recherche; National Science Foundation","keywords":"Mathematics; Automorphic form; Distribution (mathematics); Algebraic number field; Symplectic geometry; Combinatorics; Ramanujan's sum; Type (biology); Pure mathematics; Mathematical analysis","score_opus":0.08882924194401207,"score_gpt":0.32975765259335654,"score_spread":0.24092841064934448,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153746594","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8838964,0.0003809315,0.1060905,0.0006176451,0.000025147116,0.000016938873,0.00014567787,0.0001636258,0.008663068],"genre_scores_gemma":[0.99139374,0.00022137325,0.005590436,0.0000617973,0.000060678656,0.000050042927,0.00010783141,0.000041227166,0.002473017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994518,0.00015901522,0.000022540684,0.00011769905,0.00013798194,0.0001109866],"domain_scores_gemma":[0.99683315,0.0016008843,0.00047142975,0.0002600475,0.00038772798,0.000446767],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017363036,0.00042201136,0.0007090765,0.003325208,0.0013737181,0.0018899002,0.0010021614,0.00068202306,0.0044028354],"category_scores_gemma":[0.007111877,0.0004323386,0.00079413765,0.0009653819,0.0034093813,0.0027273486,0.0013390438,0.0010383031,0.0003605036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000341001,0.000017961576,0.0034325891,0.00003637748,0.000018885856,0.0001499539,0.00035694346,0.0035756647,0.003270993,0.98545736,0.0004387171,0.003210435],"study_design_scores_gemma":[0.000027477745,0.00006086798,0.0058544464,0.00004366848,0.000022522252,0.00075059175,0.000383974,0.08757264,0.0037936291,0.89909726,0.0023327132,0.00006016717],"about_ca_topic_score_codex":0.0007892475,"about_ca_topic_score_gemma":0.0003100581,"teacher_disagreement_score":0.0044028354,"about_ca_system_score_codex":0.0014620417,"about_ca_system_score_gemma":0.00042529978,"threshold_uncertainty_score":0.014728963},"labels":[],"label_agreement":null},{"id":"W2153827266","doi":"10.1112/s0010437x14007556","title":"Hermitian forms over quaternion algebras","year":2014,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"University of Toronto; University of Alberta; Fields Institute for Research in Mathematical Sciences; Agence Nationale de la Recherche; Division of Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Sesquilinear form; Hermitian matrix; Pure mathematics; Division ring; Quaternion; Orthogonal group; Algebraic group; Unipotent; Linear subspace; Degenerate energy levels; Algebraic number; Algebra over a field; Mathematical analysis; Division (mathematics)","score_opus":0.02091485428196284,"score_gpt":0.3030101292956221,"score_spread":0.2820952750136593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153827266","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97558117,0.00024049066,0.008560814,0.00018530867,0.000042993554,0.0000142302315,0.000050457675,0.000029484912,0.01529501],"genre_scores_gemma":[0.9956012,0.000080828315,0.001433303,0.000020679729,0.00004994146,0.0000051295524,0.000028411207,0.0000065160452,0.0027739673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996892,0.000052800217,0.000020301935,0.00005853789,0.00008650144,0.000092654984],"domain_scores_gemma":[0.99971336,0.000042653162,0.00007521902,0.000023814346,0.000034138706,0.00011082566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037392695,0.00041555933,0.00032906767,0.00094453944,0.00091071875,0.0013447725,0.00028568457,0.00033456742,0.0046894588],"category_scores_gemma":[0.0005411578,0.00014929417,0.00027713433,0.0005408085,0.0019213815,0.0018749207,0.001006657,0.00050040527,0.0003543676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009859956,0.00004574639,0.0024198154,0.00005057081,0.0000113634505,0.0005955513,0.000626964,0.0028895724,0.008068421,0.97685426,0.0004190475,0.007920133],"study_design_scores_gemma":[0.000051376166,0.00023694623,0.003467288,0.000024673272,0.000012185675,0.0009199055,0.00049888226,0.014588851,0.007635615,0.96578884,0.006740029,0.00003540261],"about_ca_topic_score_codex":0.0003668126,"about_ca_topic_score_gemma":0.00028551466,"teacher_disagreement_score":0.0046894588,"about_ca_system_score_codex":0.00063531386,"about_ca_system_score_gemma":0.00025500133,"threshold_uncertainty_score":0.015687764},"labels":[],"label_agreement":null},{"id":"W2158499494","doi":"10.1016/j.jalgebra.2012.08.030","title":"Characterization of special points of orthogonal symmetric spaces","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Characterization (materials science); Pure mathematics; Combinatorics","score_opus":0.02498601778575325,"score_gpt":0.2876252054427493,"score_spread":0.262639187656996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2158499494","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8646824,0.00022850731,0.101248965,0.00045241235,0.00012247654,0.000055373286,0.00018431044,0.0001233322,0.032902252],"genre_scores_gemma":[0.98483974,0.00012392501,0.0077978247,0.00006492937,0.00017575611,0.000029685412,0.00027990874,0.000045525903,0.006642699],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928695,0.00012560068,0.000049676622,0.00015659143,0.00022064029,0.00016057036],"domain_scores_gemma":[0.9977265,0.0005253109,0.00044945537,0.00023645308,0.0004976391,0.00056458317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000919601,0.0007282381,0.0010479455,0.0035094318,0.0015703508,0.0032782261,0.0011018856,0.00090059685,0.006025666],"category_scores_gemma":[0.002851036,0.00048359222,0.0008905003,0.0015214055,0.0034869467,0.003760562,0.0026611278,0.002375523,0.00057816005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007588368,0.000036877376,0.0010402249,0.000020693833,0.000012227307,0.0001553742,0.00025721357,0.0004376237,0.0023608583,0.9913386,0.00040055567,0.0038638928],"study_design_scores_gemma":[0.000033926637,0.00008152458,0.0012547955,0.00001597402,0.000020846253,0.0004533547,0.00041621216,0.009285382,0.002707829,0.9832122,0.0024915128,0.000026362362],"about_ca_topic_score_codex":0.00039401083,"about_ca_topic_score_gemma":0.00035957617,"teacher_disagreement_score":0.006025666,"about_ca_system_score_codex":0.0009756009,"about_ca_system_score_gemma":0.00050238677,"threshold_uncertainty_score":0.020157874},"labels":[],"label_agreement":null},{"id":"W2158807324","doi":"10.1016/j.jalgebra.2014.03.003","title":"Rank 2 symmetric hyperbolic Kac–Moody algebras and Hilbert modular forms","year":2014,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Modular form; Holomorphic function; Rank (graph theory); Prime (order theory); Field (mathematics); Algebra over a field; Combinatorics","score_opus":0.021051448756331154,"score_gpt":0.28781986801590775,"score_spread":0.2667684192595766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2158807324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73861885,0.002315182,0.060819164,0.0069930214,0.001249414,0.00008970461,0.0006631473,0.00027194442,0.18897952],"genre_scores_gemma":[0.95971066,0.00061151467,0.0048784576,0.00056384073,0.000942104,0.00003935655,0.00023254793,0.00006246575,0.032959037],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995497,0.0001300328,0.00002220902,0.0000759333,0.00013551906,0.00008666912],"domain_scores_gemma":[0.9993649,0.00012063426,0.00016344432,0.00006624802,0.000091286536,0.00019352805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007985458,0.0012792625,0.00082732434,0.0019441111,0.0018959002,0.0031235192,0.0012652472,0.0016858724,0.012489799],"category_scores_gemma":[0.0015647024,0.0006057552,0.00060905295,0.0013184042,0.0032382603,0.005540774,0.0019800777,0.0024267999,0.0013278294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028795817,0.000018482178,0.00013255453,0.000016876671,0.000004595995,0.00007783359,0.00013748884,0.0002581308,0.00047160036,0.99616027,0.0011531231,0.0015402124],"study_design_scores_gemma":[0.000018047618,0.00000850646,0.00015560698,0.000003826914,0.000002871967,0.00008723625,0.000054586213,0.0012112705,0.00012081457,0.997299,0.0010296789,0.00000846401],"about_ca_topic_score_codex":0.000579586,"about_ca_topic_score_gemma":0.00060938625,"teacher_disagreement_score":0.012489799,"about_ca_system_score_codex":0.0011076665,"about_ca_system_score_gemma":0.00073093094,"threshold_uncertainty_score":0.041782558},"labels":[],"label_agreement":null},{"id":"W2160396836","doi":"10.1017/s0004972700035589","title":"On Kähler nilmanifolds with top homology in codimension two","year":2006,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","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 Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Codimension; Mathematics; Nilpotent; Homology (biology); Abelian group; Pure mathematics; Lie group; Central series; Combinatorics; Nilpotent group; Gene","score_opus":0.017745787052305277,"score_gpt":0.2789356215248724,"score_spread":0.2611898344725671,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160396836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9367827,0.0006282957,0.016535824,0.00090936373,0.00009519795,0.000027881633,0.00012964601,0.00013167383,0.044759497],"genre_scores_gemma":[0.9931479,0.00028005097,0.002246771,0.000086325585,0.000078868856,0.000018457682,0.00013419999,0.000019126424,0.0039882455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994696,0.00012045317,0.00002710937,0.00006377022,0.00014934063,0.00016979835],"domain_scores_gemma":[0.99891305,0.0003004922,0.00020553125,0.00009990214,0.00011273918,0.00036825115],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005799184,0.0010001904,0.00076017424,0.0028431234,0.0021391087,0.002280542,0.000774355,0.0010505714,0.0028032106],"category_scores_gemma":[0.0014477555,0.0004678306,0.0005113924,0.0012662008,0.0044458485,0.0032457104,0.0034681584,0.0011276831,0.00047489547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010093345,0.00003874963,0.0021187959,0.00006459716,0.000019374917,0.0016320009,0.0011533169,0.0033952487,0.003488756,0.9833787,0.0009086979,0.003700636],"study_design_scores_gemma":[0.00002867345,0.000055055727,0.0020970826,0.000023530689,0.000012004486,0.00063705567,0.0004939941,0.011935315,0.001104863,0.9820983,0.0014921862,0.000022052987],"about_ca_topic_score_codex":0.0018718471,"about_ca_topic_score_gemma":0.0018473751,"teacher_disagreement_score":0.0028431234,"about_ca_system_score_codex":0.0013932508,"about_ca_system_score_gemma":0.000562515,"threshold_uncertainty_score":0.010108709},"labels":[],"label_agreement":null},{"id":"W2160665818","doi":"10.4153/cmb-2007-044-2","title":"Generalizations of Frobenius’ Theorem on Manifolds and Subcartesian Spaces","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":7,"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 Calgary","funders":"","keywords":"Mathematics; Frobenius theorem (differential topology); Rank (graph theory); Pure mathematics; Manifold (fluid mechanics); Frobenius algebra; Space (punctuation); Constant (computer programming); Vector space; Orbit (dynamics); Algebra over a field; Combinatorics; Ricci-flat manifold; Geometry","score_opus":0.0186431176922856,"score_gpt":0.26822155813195375,"score_spread":0.24957844043966815,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160665818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7693766,0.001122812,0.13293846,0.0022389502,0.00018686516,0.000054588858,0.0002746372,0.00015390618,0.09365325],"genre_scores_gemma":[0.9863274,0.00048942,0.0070621246,0.00009612918,0.00014741192,0.000017297107,0.000106927255,0.000019302206,0.00573394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953127,0.00006250261,0.000022898517,0.00012141732,0.00015296202,0.00010892459],"domain_scores_gemma":[0.9991504,0.00022746874,0.00016271147,0.00012554294,0.00017838363,0.00015540718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011125279,0.00032410477,0.00038082368,0.0016740392,0.0009270139,0.0011784481,0.00064740225,0.00054471433,0.0035894252],"category_scores_gemma":[0.0027240214,0.00019661055,0.0005965951,0.00065967406,0.0031713364,0.0038573141,0.0022265508,0.001151053,0.00029818012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019211893,0.000008865762,0.0011808937,0.000022397919,0.0000074534128,0.00016497442,0.00031496206,0.0015624351,0.0010485227,0.99081147,0.00072051474,0.004138308],"study_design_scores_gemma":[0.000015319756,0.0000528671,0.0035355438,0.000022320788,0.000009975851,0.00049839006,0.00036238146,0.015023167,0.0017664304,0.9692253,0.009465596,0.000022659104],"about_ca_topic_score_codex":0.0024144861,"about_ca_topic_score_gemma":0.0013360643,"teacher_disagreement_score":0.0035894252,"about_ca_system_score_codex":0.0012212185,"about_ca_system_score_gemma":0.00040276942,"threshold_uncertainty_score":0.0120078325},"labels":[],"label_agreement":null},{"id":"W2164096966","doi":"10.1016/s0022-4049(02)00073-7","title":"A characterization of 3-graded Lie algebras generated by a pair","year":2002,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Subalgebra; Characterization (materials science); Graded Lie algebra; Degree (music); Lie superalgebra; Pure mathematics; Zero (linguistics); Field (mathematics); Lie algebra; Element (criminal law); Killing form; Lie conformal algebra; Affine Lie algebra; Algebra over a field; Combinatorics; Discrete mathematics; Adjoint representation of a Lie algebra; Current algebra; Physics","score_opus":0.02120997414606341,"score_gpt":0.2428747284771128,"score_spread":0.2216647543310494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164096966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76975036,0.0005922259,0.13153048,0.0009859683,0.00036850007,0.00014004103,0.00035415837,0.00036015848,0.0959181],"genre_scores_gemma":[0.9758209,0.00018923832,0.008943954,0.00021254754,0.00019892432,0.000055783075,0.00023456856,0.00007123424,0.01427281],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943775,0.000104473685,0.000039920564,0.00012011301,0.0001474669,0.0001502262],"domain_scores_gemma":[0.9990398,0.00018753622,0.0001894288,0.000064634,0.00019111797,0.0003273732],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007968055,0.0009729915,0.00084570184,0.0027601859,0.0021737267,0.0030097223,0.0013061588,0.0012667448,0.007943207],"category_scores_gemma":[0.0011119738,0.00047293826,0.0008953519,0.0013969037,0.0024562692,0.0041511212,0.002266839,0.0016889024,0.0013935289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007233324,0.000042062842,0.00035892805,0.000024292458,0.000011705442,0.0002686235,0.0004311978,0.00029242432,0.0026605183,0.9920048,0.0005744461,0.0032585524],"study_design_scores_gemma":[0.000026191672,0.00006517879,0.00044328213,0.000016331116,0.000018300207,0.0005037246,0.00025055592,0.004319733,0.002264922,0.98789155,0.0041690446,0.000031240605],"about_ca_topic_score_codex":0.00063731876,"about_ca_topic_score_gemma":0.0005231305,"teacher_disagreement_score":0.007943207,"about_ca_system_score_codex":0.0008261065,"about_ca_system_score_gemma":0.00056792836,"threshold_uncertainty_score":0.026572704},"labels":[],"label_agreement":null},{"id":"W2165668606","doi":"10.4153/cjm-2015-018-2","title":"Characterizing the Absolute Continuity of the Convolution of Orbital Measures in aClassical Lie Algebra","year":2015,"lang":"en","type":"preprint","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Absolute continuity; Lie algebra; Measure (data warehouse); Rank (graph theory); Convolution (computer science); Type (biology); Lebesgue measure; Combinatorics; Pure mathematics; Integer (computer science); Characterization (materials science); Lebesgue integration; Physics","score_opus":0.06487749605997671,"score_gpt":0.29076650235244106,"score_spread":0.22588900629246433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165668606","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9440403,0.00019351665,0.05198201,0.00013243503,0.000021093389,0.000013023882,0.00005983922,0.000059560192,0.0034982192],"genre_scores_gemma":[0.99460113,0.00006768134,0.0043817735,0.000015204077,0.000031742944,0.000010300886,0.000052060284,0.000013388536,0.0008266598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984659,0.00029737156,0.00012790925,0.00029567457,0.00057702867,0.00023605558],"domain_scores_gemma":[0.9950643,0.0016563917,0.0012058658,0.00037636363,0.0006746577,0.0010223427],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023970115,0.0005152885,0.0006916628,0.0025625643,0.0011090514,0.00262522,0.0010488009,0.00078892644,0.001824296],"category_scores_gemma":[0.0076869167,0.0004740621,0.00059397105,0.0013416933,0.004002604,0.0036856425,0.0022030692,0.0010404676,0.0002022991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023542212,0.00012164066,0.01564497,0.00008006352,0.00007380645,0.00075504463,0.0011106135,0.011278327,0.013244749,0.9488504,0.00031459096,0.008290491],"study_design_scores_gemma":[0.000028703,0.00034232362,0.0134499725,0.00005773093,0.00004686952,0.001287,0.00053279893,0.18848449,0.011606023,0.78195375,0.0021026104,0.00010777414],"about_ca_topic_score_codex":0.0009002991,"about_ca_topic_score_gemma":0.0005462798,"teacher_disagreement_score":0.00262522,"about_ca_system_score_codex":0.0015850088,"about_ca_system_score_gemma":0.00060736237,"threshold_uncertainty_score":0.012676775},"labels":[],"label_agreement":null},{"id":"W2165820553","doi":"10.1112/s0024610700001381","title":"Weil Representations of Symplectic Groups Over Rings","year":2000,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":36,"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; Symplectic geometry; Ideal (ethics); Prime (order theory); Integer (computer science); Ring (chemistry); Representation (politics); Combinatorics; Field (mathematics); Ring of integers; Pure mathematics; Discrete mathematics; Algebra over a field; Algebraic number field; Computer science; Chemistry","score_opus":0.01933716088745828,"score_gpt":0.3120608648183527,"score_spread":0.2927237039308944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165820553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85186565,0.0012405479,0.057559356,0.0022241704,0.00038869018,0.00005031747,0.0001360309,0.00025047033,0.08628479],"genre_scores_gemma":[0.9842271,0.0005650444,0.0048360876,0.00010465966,0.00037443233,0.0000228807,0.0000615405,0.000030643085,0.0097776055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994541,0.00012095619,0.000032569667,0.00007441136,0.0001369918,0.00018099652],"domain_scores_gemma":[0.9993345,0.00016265271,0.00015612364,0.00009168797,0.00005366224,0.0002012811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009659809,0.00055829843,0.00041478322,0.0014986892,0.0013005034,0.0028455618,0.00035506114,0.00061575376,0.0057427464],"category_scores_gemma":[0.002155452,0.0002596019,0.00046734206,0.0009348668,0.0025876581,0.0044070594,0.002378927,0.00085793866,0.0006096288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021322921,0.00001723614,0.0002758927,0.000016964017,0.000003256631,0.000092347545,0.0006021897,0.000844832,0.0009814762,0.9916654,0.00053882156,0.0049402583],"study_design_scores_gemma":[0.000018649316,0.000046445315,0.00037236686,0.000018293962,0.0000053397266,0.000139092,0.0002945271,0.0039390326,0.00093880336,0.9889747,0.0052407407,0.000011920228],"about_ca_topic_score_codex":0.00028531332,"about_ca_topic_score_gemma":0.0002728795,"teacher_disagreement_score":0.0057427464,"about_ca_system_score_codex":0.00081223034,"about_ca_system_score_gemma":0.00038190364,"threshold_uncertainty_score":0.019211411},"labels":[],"label_agreement":null},{"id":"W2167547054","doi":"10.4310/pamq.2005.v1.n4.a8","title":"A Conjecture about the Analytical Behaviour of Eisenstein Series","year":2005,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","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; Conjecture; Quotient; Eisenstein series; Completeness (order theory); Algebra over a field; Pure mathematics; Residual; Space (punctuation); Mathematical analysis; Modular form","score_opus":0.016684926354247644,"score_gpt":0.2746831258782396,"score_spread":0.257998199523992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2167547054","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66020375,0.0011720471,0.13388652,0.013564248,0.00034974,0.00003287467,0.00014420145,0.00047267205,0.19017398],"genre_scores_gemma":[0.9831511,0.00025223853,0.0036863412,0.0003238968,0.00021992122,0.000014213426,0.000045844194,0.00003285144,0.012273727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993311,0.0001383566,0.00003347228,0.00014113079,0.00021588408,0.00014002863],"domain_scores_gemma":[0.9977469,0.0010198148,0.0002483281,0.0003611668,0.00037384525,0.00024998287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020201989,0.0004234988,0.00044925872,0.00093224243,0.0010853362,0.002701451,0.0010356008,0.0011802246,0.0054870336],"category_scores_gemma":[0.008037654,0.00025478844,0.00045230336,0.00068817864,0.0066191703,0.005270458,0.0013174327,0.0015398265,0.0008555419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015403113,0.000009106708,0.00038735062,0.0000141661085,0.000002162521,0.00006273216,0.00021935992,0.00043834242,0.0006816549,0.9960211,0.0004724406,0.0016762152],"study_design_scores_gemma":[0.000011957731,0.0000332583,0.00044833793,0.000015599406,0.000003702446,0.00017721466,0.0001390645,0.0039399653,0.001142052,0.9913087,0.0027708483,0.000009212695],"about_ca_topic_score_codex":0.00040604398,"about_ca_topic_score_gemma":0.00018197838,"teacher_disagreement_score":0.0054870336,"about_ca_system_score_codex":0.00079973787,"about_ca_system_score_gemma":0.00042983657,"threshold_uncertainty_score":0.018355906},"labels":[],"label_agreement":null},{"id":"W2168442202","doi":"10.1142/s1793042114500092","title":"Equivariant functions and vector-valued modular forms","year":2013,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"","keywords":"Equivariant map; Mathematics; Monodromy; Parameterized complexity; Modular form; Modular design; Pure mathematics; Algebra over a field; Representation (politics); Vector bundle; Differential (mechanical device); Discrete group; Group (periodic table); Combinatorics; Computer science","score_opus":0.019137632333200975,"score_gpt":0.3101730200012488,"score_spread":0.2910353876680478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2168442202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71132123,0.00089110475,0.19892648,0.0010966175,0.00027527794,0.0000618664,0.00019020405,0.00031712727,0.08692006],"genre_scores_gemma":[0.97616905,0.00038813526,0.009320649,0.00014070833,0.00021378743,0.000044983724,0.00010170006,0.000077303244,0.01354381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956936,0.00009815135,0.000021501626,0.000089497466,0.000117481875,0.00010400756],"domain_scores_gemma":[0.99942565,0.00011653819,0.00013011925,0.0000708417,0.00010484422,0.0001520365],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005865098,0.0010188533,0.0003753704,0.001878589,0.0008019739,0.002176025,0.0007645728,0.000738081,0.0034345705],"category_scores_gemma":[0.001824407,0.00027135763,0.00046518468,0.000880574,0.0028098873,0.0031519576,0.0017292744,0.0015357485,0.0007794879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014087385,0.000012905755,0.00017616563,0.00001019956,0.0000025293784,0.000087563414,0.00019636567,0.0005516087,0.001378072,0.99393797,0.00023708302,0.003395405],"study_design_scores_gemma":[0.0000135872515,0.000034182623,0.0004576309,0.000013697383,0.000005056643,0.00025044594,0.00016316267,0.0067224456,0.0017348106,0.9858394,0.00474572,0.00001985377],"about_ca_topic_score_codex":0.00031093613,"about_ca_topic_score_gemma":0.00015263322,"teacher_disagreement_score":0.0034345705,"about_ca_system_score_codex":0.00079007185,"about_ca_system_score_gemma":0.00028012122,"threshold_uncertainty_score":0.011489749},"labels":[],"label_agreement":null},{"id":"W2178583511","doi":"10.46298/dmtcs.2852","title":"Criteria for rational smoothness of some symmetric orbit closures","year":2010,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Algebra and Geometry","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; Combinatorics; Bruhat order; Weyl group; Algebraic group; Orbit (dynamics); Schubert variety; Reductive group; Algebraic number; Mathematical analysis","score_opus":0.023043199229767674,"score_gpt":0.32945787980383084,"score_spread":0.3064146805740632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2178583511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9685148,0.00018561418,0.020661896,0.00023453718,0.000032003776,0.00005970124,0.00021235681,0.00010218145,0.009997005],"genre_scores_gemma":[0.99316496,0.00009221099,0.0049008536,0.000019342267,0.000040143404,0.000033698238,0.00021714093,0.00003123892,0.0015004466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874324,0.00013326248,0.00008488032,0.0002900567,0.00041788485,0.00033064536],"domain_scores_gemma":[0.99504733,0.0018530816,0.0008675583,0.0005128445,0.0006218867,0.0010972917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012304719,0.00053134095,0.0007351779,0.0033780795,0.0018089983,0.002848853,0.0008860497,0.0011984966,0.0029980852],"category_scores_gemma":[0.008384979,0.00062391494,0.0010120262,0.0007422369,0.0043254048,0.0030010398,0.0029087106,0.0019021492,0.0002849569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00046164403,0.00015114533,0.02457692,0.0001346212,0.000040588642,0.0009815486,0.0020344143,0.007971566,0.023356006,0.9234688,0.00077628926,0.016046455],"study_design_scores_gemma":[0.00019356636,0.0005082468,0.03657304,0.00012278871,0.000081394785,0.0019597763,0.0021966505,0.078604996,0.018917223,0.85293216,0.007690017,0.0002201939],"about_ca_topic_score_codex":0.0012136162,"about_ca_topic_score_gemma":0.0007145359,"teacher_disagreement_score":0.0033780795,"about_ca_system_score_codex":0.001248217,"about_ca_system_score_gemma":0.0004988413,"threshold_uncertainty_score":0.010029614},"labels":[],"label_agreement":null},{"id":"W2182559789","doi":"10.4171/dm/484","title":"Log homogeneous compactifications of some classical groups","year":2015,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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; Homogeneous; Pure mathematics; Combinatorics","score_opus":0.08705688643017848,"score_gpt":0.3560909653763245,"score_spread":0.26903407894614606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2182559789","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94635373,0.00023992422,0.02141534,0.0004436297,0.000056241068,0.000021408518,0.00005679445,0.00011600628,0.031296942],"genre_scores_gemma":[0.984403,0.00014843994,0.0035056442,0.000049831615,0.000067667796,0.000015924268,0.0000557737,0.000025264924,0.0117282625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999192,0.000014046645,0.0000033410065,0.0000146463435,0.000027511307,0.00002128849],"domain_scores_gemma":[0.9998802,0.000017835253,0.00003114569,0.000018355187,0.000013923292,0.000038583305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015038087,0.0003531382,0.00018166268,0.0008799516,0.0005759746,0.0007930033,0.0003301518,0.00029990554,0.0030777594],"category_scores_gemma":[0.0004331896,0.00015475939,0.0002456176,0.0002754495,0.0012958167,0.0014324493,0.00086568075,0.000608351,0.00022212113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005203658,0.00003604458,0.0006867227,0.000029370623,0.000010380819,0.00042954567,0.0005606156,0.002380388,0.007120892,0.98244894,0.0005029715,0.0057420363],"study_design_scores_gemma":[0.000078160054,0.00013204366,0.0028497768,0.000018845521,0.0000193925,0.0005961175,0.0006374339,0.021356475,0.006611298,0.9574856,0.010195496,0.000019315368],"about_ca_topic_score_codex":0.0005154489,"about_ca_topic_score_gemma":0.0006310128,"teacher_disagreement_score":0.0030777594,"about_ca_system_score_codex":0.00055489177,"about_ca_system_score_gemma":0.00016297805,"threshold_uncertainty_score":0.010296106},"labels":[],"label_agreement":null},{"id":"W2196099892","doi":"10.1142/s1793042115501109","title":"Fourier coefficients of a class of eta quotients of weight 2","year":2015,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Modular form; Fourier series; Quotient; Class (philosophy); Dedekind eta function; Kronecker delta; Pure mathematics; Eisenstein series; Algebra over a field; Mathematical analysis; Physics","score_opus":0.03769232301188259,"score_gpt":0.35095540098913725,"score_spread":0.31326307797725467,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2196099892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9168032,0.00063724315,0.042754624,0.0007139371,0.0004550891,0.000053911797,0.00015092219,0.00017204932,0.038258992],"genre_scores_gemma":[0.9780943,0.00037337176,0.0062187635,0.00010993484,0.0004612782,0.00004800087,0.0001513781,0.0001207322,0.014422329],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995129,0.00008314955,0.000023076895,0.00007071302,0.00017199026,0.00013822311],"domain_scores_gemma":[0.9990214,0.00024693448,0.00018818185,0.00008015726,0.00015470796,0.00030863658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000810285,0.0012274238,0.00089395355,0.0029887313,0.0012539839,0.001887819,0.0009154306,0.0010870772,0.007987677],"category_scores_gemma":[0.0025196834,0.00035547692,0.00093224866,0.0009389261,0.0024631312,0.0032140834,0.0014745684,0.0018935213,0.00084024615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018211718,0.00010959754,0.0020642248,0.00008976281,0.00003173117,0.00082391617,0.000712609,0.0028455853,0.012187502,0.96523607,0.0021208292,0.0135962125],"study_design_scores_gemma":[0.0001176975,0.0001701174,0.0044241794,0.00008849933,0.00004044131,0.001755201,0.00043787766,0.06448779,0.009302274,0.9102726,0.008788464,0.000114781404],"about_ca_topic_score_codex":0.0006304029,"about_ca_topic_score_gemma":0.0003990299,"teacher_disagreement_score":0.007987677,"about_ca_system_score_codex":0.00095098815,"about_ca_system_score_gemma":0.00038970675,"threshold_uncertainty_score":0.026721418},"labels":[],"label_agreement":null},{"id":"W2197155269","doi":"10.4310/ajm.2015.v19.n3.a4","title":"The fundamental group of reductive Borel–Serre and Satake compactifications","year":2015,"lang":"en","type":"article","venue":"Asian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"The Scarborough Hospital; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Fundamental group; Compactification (mathematics); Reductive group; Unipotent; Congruence subgroup; Algebraic group; Global field; Group (periodic table); Tensor product; Congruence (geometry)","score_opus":0.0702679254618952,"score_gpt":0.334904475116163,"score_spread":0.2646365496542678,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2197155269","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97274965,0.00015115601,0.013520483,0.00023295156,0.00003177565,0.000023329181,0.000075325544,0.000064107335,0.013151219],"genre_scores_gemma":[0.9902643,0.000118905824,0.00419527,0.00003386322,0.000069876594,0.000022336331,0.00016016862,0.000023103677,0.005112182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973077,0.00003433819,0.000012396314,0.000054513155,0.00007184957,0.00009610419],"domain_scores_gemma":[0.99965227,0.00006726077,0.000079274854,0.00004100459,0.000037690024,0.00012259351],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036466654,0.0005641521,0.00043790322,0.0014686245,0.00095049036,0.0015837989,0.00063207245,0.00054590614,0.0045677894],"category_scores_gemma":[0.0010465776,0.00020575909,0.000526159,0.0004032126,0.0021949795,0.0024833381,0.0018845495,0.0009082171,0.0005530021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014328978,0.000040476447,0.0014585028,0.000027692846,0.000011079711,0.00017498562,0.0010156111,0.002346234,0.0058196057,0.9803962,0.00038569781,0.008180726],"study_design_scores_gemma":[0.00006887122,0.0001782165,0.0030602599,0.000023766665,0.000014852982,0.00033260253,0.0009321239,0.014818893,0.0072744824,0.9678706,0.0053861015,0.00003914169],"about_ca_topic_score_codex":0.0011258529,"about_ca_topic_score_gemma":0.000670595,"teacher_disagreement_score":0.0045677894,"about_ca_system_score_codex":0.00068580045,"about_ca_system_score_gemma":0.00035843716,"threshold_uncertainty_score":0.015280843},"labels":[],"label_agreement":null},{"id":"W2202007164","doi":"10.1007/978-1-84996-504-0_3","title":"Lie Identities on Symmetric Elements","year":2010,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Algebra and Geometry","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":"Lakehead University","funders":"","keywords":"Psychology; Sociology","score_opus":0.04406008221811516,"score_gpt":0.3066376270241079,"score_spread":0.26257754480599277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2202007164","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0049153795,0.0023115792,0.012891786,0.0010189735,0.0009880676,0.00001678549,0.000083557214,0.00008750543,0.9776864],"genre_scores_gemma":[0.07508598,0.004062039,0.0066354685,0.0004375929,0.00079798896,0.000047395733,0.00023063913,0.00020483638,0.912498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977726,0.000048417438,0.000007081058,0.00002371051,0.00011646029,0.00002720148],"domain_scores_gemma":[0.9999131,0.000013679126,0.0000055183027,0.000016787082,0.000037202764,0.000013713662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002665986,0.00080581446,0.0005104688,0.0011108266,0.0014481802,0.0019009779,0.0006229948,0.00060762465,0.016356776],"category_scores_gemma":[0.00033945646,0.00032364964,0.0002743971,0.0011155009,0.0020007086,0.0030701463,0.0012095072,0.002196564,0.008619364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000021284256,0.0000065402382,0.000009200093,0.000015290898,9.692963e-7,0.000013252835,0.0001431261,0.00008036054,0.00016982711,0.9807493,0.011494378,0.0073156413],"study_design_scores_gemma":[0.0000028838303,0.0000053717795,0.0000548854,0.000023467936,0.0000019020641,0.00007463837,0.0001030312,0.0003239797,0.00031801,0.7948572,0.20422958,0.0000050774756],"about_ca_topic_score_codex":0.0012644671,"about_ca_topic_score_gemma":0.0022219624,"teacher_disagreement_score":0.016356776,"about_ca_system_score_codex":0.0016424888,"about_ca_system_score_gemma":0.001022642,"threshold_uncertainty_score":0.054718852},"labels":[],"label_agreement":null},{"id":"W2203709017","doi":"10.1142/s1793042116500950","title":"Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class","year":2015,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Carleton University","funders":"","keywords":"Mathematics; Discriminant; Genus; Class (philosophy); Pure mathematics; Representation (politics); Quadratic equation; Combinatorics; Quaternary; Class number; Geometry; Botany","score_opus":0.07281451272873132,"score_gpt":0.37395037211530574,"score_spread":0.3011358593865744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2203709017","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92400223,0.00024961453,0.023451192,0.00030498335,0.00014043602,0.000028853372,0.00009823173,0.00014328827,0.0515811],"genre_scores_gemma":[0.9862242,0.00015852867,0.006907097,0.00004469046,0.00008103765,0.000022100105,0.00010177018,0.00004562783,0.0064149243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997526,0.000050154915,0.000010005416,0.000032391898,0.00010221849,0.000052654166],"domain_scores_gemma":[0.9996536,0.00009522807,0.000084978434,0.00003703974,0.000052516214,0.00007664754],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051114266,0.0004644299,0.0003256025,0.002303848,0.0008994258,0.001241332,0.00057464594,0.0005511417,0.0048049116],"category_scores_gemma":[0.001470091,0.00017285021,0.00031295934,0.000784989,0.0015353266,0.0014023267,0.00079065707,0.00070630293,0.00050459726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009076933,0.000027056354,0.0009086751,0.00006672708,0.00000634182,0.00018809995,0.00036575575,0.0037226535,0.012969382,0.9664596,0.0010309765,0.01416399],"study_design_scores_gemma":[0.00004120643,0.00019297996,0.0028671115,0.000050903145,0.000022785169,0.00089942495,0.00033206271,0.04198578,0.01115698,0.9312371,0.011138566,0.00007507573],"about_ca_topic_score_codex":0.00018286408,"about_ca_topic_score_gemma":0.00026686484,"teacher_disagreement_score":0.0048049116,"about_ca_system_score_codex":0.000827893,"about_ca_system_score_gemma":0.0002683746,"threshold_uncertainty_score":0.016074002},"labels":[],"label_agreement":null},{"id":"W2212590794","doi":"10.1007/978-3-642-36675-8_7","title":"A Geometric Procedure with Prover9","year":2013,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Advanced Algebra and Geometry","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 Manitoba","funders":"","keywords":"Chord (peer-to-peer); Automated theorem proving; Tangent; Lemma (botany); Morphism; Mathematics; Gas meter prover; Algebraic curve; Connection (principal bundle); Discrete mathematics; Algebra over a field; Computer science; Calculus (dental); Pure mathematics; Algorithm; Geometry; Mathematical proof","score_opus":0.017935280709860637,"score_gpt":0.25692040755952966,"score_spread":0.23898512684966902,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2212590794","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0038237143,0.00064276444,0.6598211,0.0018347012,0.0010714073,0.00016413837,0.001036892,0.0094203595,0.32218495],"genre_scores_gemma":[0.1192565,0.0023580203,0.4619198,0.0016239994,0.00079013134,0.00038294218,0.00403498,0.015171301,0.3944624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99808264,0.0005283286,0.000111557354,0.00041528526,0.00063617463,0.0002259378],"domain_scores_gemma":[0.9990601,0.00042109273,0.000024998732,0.00030126073,0.00015196812,0.000040530653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017356004,0.0016556784,0.0013012418,0.0017925492,0.0032915901,0.0038265444,0.0030102003,0.0017236607,0.102554835],"category_scores_gemma":[0.0029825582,0.0015157928,0.0023864566,0.0024995974,0.0035413257,0.009018481,0.0058908476,0.0054816445,0.05928003],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006716787,0.000033692733,0.000058128062,0.00023579458,0.000016100606,0.000105454455,0.00029223287,0.00058809307,0.0016108779,0.8816364,0.036233943,0.07912219],"study_design_scores_gemma":[0.00004725771,0.000038857117,0.00012771318,0.00009775574,0.000037921534,0.00035670918,0.00011358351,0.0023446337,0.0075001162,0.5815682,0.4077222,0.000045140605],"about_ca_topic_score_codex":0.00093734404,"about_ca_topic_score_gemma":0.0010028029,"teacher_disagreement_score":0.102554835,"about_ca_system_score_codex":0.0015341348,"about_ca_system_score_gemma":0.0014144172,"threshold_uncertainty_score":0.3430801},"labels":[],"label_agreement":null},{"id":"W2220587794","doi":"10.1112/s0010437x15007538","title":"Cusp forms on the exceptional group of type","year":2015,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Cusp (singularity); Cusp form; Holomorphic function; Integer (computer science); Type (biology); Group (periodic table); Domain (mathematical analysis); Reductive group","score_opus":0.08846312641404519,"score_gpt":0.33003748829056484,"score_spread":0.24157436187651965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2220587794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94110274,0.00017964606,0.013593044,0.00042361347,0.00019281391,0.00002222751,0.000055619123,0.00011864054,0.044311494],"genre_scores_gemma":[0.9847685,0.00011498514,0.0029191847,0.000089273395,0.00016315431,0.000015088638,0.000086987755,0.00003561058,0.011807048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996679,0.000044718225,0.000012592681,0.00006530384,0.00009209467,0.00011736568],"domain_scores_gemma":[0.9997043,0.000036710688,0.000043946835,0.000030391884,0.00004061535,0.00014394516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036909408,0.00068586477,0.0007347713,0.001430331,0.0016447956,0.001466504,0.00059403025,0.00082989316,0.0035969352],"category_scores_gemma":[0.0009991332,0.00026632778,0.00061681547,0.00054456014,0.0026741605,0.0012808979,0.0021130564,0.0010891446,0.000554666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015743882,0.00004757989,0.0013287208,0.000035179233,0.00001583884,0.000997755,0.0007875812,0.001766232,0.005484885,0.9788269,0.0010927283,0.009459194],"study_design_scores_gemma":[0.0000994428,0.00018045271,0.0029341853,0.00003746454,0.000026958664,0.0010728725,0.00047013743,0.01487277,0.004610074,0.96903193,0.006604537,0.000059073245],"about_ca_topic_score_codex":0.0010683374,"about_ca_topic_score_gemma":0.000750756,"teacher_disagreement_score":0.0035969352,"about_ca_system_score_codex":0.0012277511,"about_ca_system_score_gemma":0.00054542895,"threshold_uncertainty_score":0.012032926},"labels":[],"label_agreement":null},{"id":"W2225440852","doi":"10.1016/j.laa.2015.12.013","title":"Computing the Iwasawa decomposition of the classical Lie groups of noncompact type using the QR decomposition","year":2016,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Algebra and Geometry","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":"Laurentian University","funders":"Laurentian University","keywords":"Mathematics; Decomposition; Lie group; Lie theory; Type (biology); Cartan decomposition; Pure mathematics; QR decomposition; Algebra over a field; Group (periodic table); Adjoint representation of a Lie algebra; Eigenvalues and eigenvectors; Lie conformal algebra; Physics; Chemistry","score_opus":0.03448136197815089,"score_gpt":0.35110956769341306,"score_spread":0.3166282057152622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2225440852","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11647352,0.0002706023,0.8686134,0.00017649718,0.0001360121,0.000043153774,0.00011804524,0.00039278227,0.01377591],"genre_scores_gemma":[0.6667789,0.00046851175,0.32029703,0.00023027057,0.0001903126,0.00007832276,0.0004845893,0.00037963642,0.011092444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966466,0.000079861646,0.000023644867,0.000056740235,0.00010994579,0.000065211025],"domain_scores_gemma":[0.9995591,0.00008435516,0.000056896093,0.00008321646,0.00013940707,0.00007699928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007077955,0.00069461885,0.00065649167,0.0012524727,0.0004262552,0.0012723004,0.00068251626,0.0004631988,0.0051031145],"category_scores_gemma":[0.0017469374,0.00028355606,0.0006934445,0.00055398146,0.0010501912,0.002399415,0.0013610416,0.0011273453,0.0017917396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008297738,0.00005182618,0.0008309502,0.00013317486,0.000035276116,0.00030402272,0.00031422047,0.03278102,0.010522558,0.91301435,0.0020638756,0.0398658],"study_design_scores_gemma":[0.000016901318,0.000053135438,0.00046671153,0.00002879989,0.000011835876,0.00012169438,0.00014298927,0.16698581,0.004902011,0.8224068,0.0048304093,0.000032954435],"about_ca_topic_score_codex":0.0008884802,"about_ca_topic_score_gemma":0.0011101643,"teacher_disagreement_score":0.0051031145,"about_ca_system_score_codex":0.00031012463,"about_ca_system_score_gemma":0.00037595292,"threshold_uncertainty_score":0.017071605},"labels":[],"label_agreement":null},{"id":"W2226876041","doi":"10.1016/j.jalgebra.2015.07.016","title":"The adjoint action is observable","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Centralizer and normalizer; Conjugacy class; Action (physics); Observable; Pure mathematics; Torus; Algebraic group; Ring (chemistry); Maximal torus; Group (periodic table); Algebraic number; Discrete mathematics; Combinatorics; Mathematical analysis; Lie algebra; Physics; Geometry","score_opus":0.1912826537112152,"score_gpt":0.37952689637685766,"score_spread":0.18824424266564246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2226876041","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28325167,0.00067754276,0.1894904,0.008830198,0.0048488853,0.00016162434,0.00084724836,0.003335727,0.50855666],"genre_scores_gemma":[0.856615,0.0005563024,0.017843515,0.0032328737,0.0025273825,0.00007669746,0.000704863,0.0010327698,0.11741063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989033,0.00012608184,0.00005534404,0.00028729107,0.00040602646,0.00022186713],"domain_scores_gemma":[0.998657,0.00017042832,0.0001477251,0.00023530345,0.00030300792,0.0004865322],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009907094,0.0013530891,0.0013055948,0.0021227924,0.0018772967,0.0036855582,0.0008842566,0.0026341872,0.02368313],"category_scores_gemma":[0.0017140493,0.0006046679,0.0013560008,0.00065224495,0.0045222645,0.0074497582,0.0031273079,0.0045361146,0.0031808957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002921482,0.000057342888,0.0001507021,0.000034751338,0.000012180174,0.00012142754,0.00012224776,0.000094747236,0.002918085,0.9903194,0.0016355625,0.0045043277],"study_design_scores_gemma":[0.0000195838,0.000030653373,0.0004715701,0.000008993419,0.000009942939,0.00027645982,0.000064323016,0.0010667032,0.0012400874,0.9936073,0.0031850873,0.000019332694],"about_ca_topic_score_codex":0.0006644463,"about_ca_topic_score_gemma":0.0005531135,"teacher_disagreement_score":0.02368313,"about_ca_system_score_codex":0.0007851203,"about_ca_system_score_gemma":0.0011159924,"threshold_uncertainty_score":0.079227984},"labels":[],"label_agreement":null},{"id":"W2229717881","doi":"10.1090/tran/7351","title":"Some genuine small representations of a nonlinear double cover","year":2018,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Infinitesimal; Cover (algebra); Variety (cybernetics); Character (mathematics); Mathematics; Covering space; Invariant (physics); Combinatorics; Pure mathematics; Geometry; Mathematical analysis; Mathematical physics","score_opus":0.04308205145858386,"score_gpt":0.3371691776152456,"score_spread":0.29408712615666177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2229717881","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41639957,0.0006220004,0.12869321,0.0023228666,0.0005680266,0.0000895904,0.00084798585,0.0009857863,0.44947103],"genre_scores_gemma":[0.87759,0.00036239822,0.018461706,0.00035742394,0.0002886254,0.00008123116,0.0005934002,0.00046436852,0.101800755],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966955,0.000046732002,0.000015109599,0.00007035733,0.00012113686,0.00007704804],"domain_scores_gemma":[0.9996997,0.00006921521,0.000042382533,0.000057977035,0.000058539066,0.00007222242],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031386354,0.00061032234,0.00036041441,0.0013626348,0.0013647674,0.0026750802,0.00064296584,0.00096795656,0.017926518],"category_scores_gemma":[0.0011159802,0.0002537755,0.0005446728,0.000553789,0.0014724777,0.002820697,0.0018540042,0.0012918536,0.0023891395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001787692,0.000008140202,0.000081578786,0.000016059052,0.000002674628,0.000108389155,0.00016959792,0.0005139044,0.0010099667,0.99291766,0.0013460353,0.0038080988],"study_design_scores_gemma":[0.000019981286,0.00002879122,0.0003656238,0.00002080991,0.0000076212345,0.00023396798,0.00035412423,0.012119632,0.0018919958,0.96575713,0.019178605,0.000021707358],"about_ca_topic_score_codex":0.0011732806,"about_ca_topic_score_gemma":0.00112854,"teacher_disagreement_score":0.017926518,"about_ca_system_score_codex":0.0015403463,"about_ca_system_score_gemma":0.0003633117,"threshold_uncertainty_score":0.05997014},"labels":[],"label_agreement":null},{"id":"W2230187232","doi":"10.4171/jems/826","title":"General Serre weight conjectures","year":2018,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust; National Science Foundation","keywords":"Conjecture; Formalism (music); Mathematics; Field (mathematics); Pure mathematics; Combinatorics","score_opus":0.03325576919871209,"score_gpt":0.30673986804672165,"score_spread":0.27348409884800956,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2230187232","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5435974,0.0022881555,0.101938695,0.008004007,0.0011620483,0.00010315084,0.0003348723,0.0006616758,0.34191003],"genre_scores_gemma":[0.9637325,0.001038189,0.00861331,0.00097602047,0.0011795115,0.00006147638,0.00036561015,0.00007241768,0.02396093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983645,0.00032880154,0.000085310945,0.00035340615,0.0005257582,0.00034219702],"domain_scores_gemma":[0.99781173,0.0006496959,0.0003716534,0.0005801245,0.00028933442,0.00029754397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024014523,0.0010594805,0.0008347462,0.0024231821,0.0017474407,0.0035584879,0.0012572388,0.0023563919,0.011310149],"category_scores_gemma":[0.0057787886,0.00042452264,0.0010487495,0.0014769265,0.0048920796,0.008973301,0.003717381,0.002505195,0.0013880322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021079495,0.000016925012,0.00041450906,0.000027187007,0.0000062716085,0.00010281859,0.00020528575,0.0010177662,0.0003401831,0.9939685,0.0009580205,0.002921427],"study_design_scores_gemma":[0.000010375305,0.000013333467,0.00024369416,0.00001901647,0.000003997314,0.000101318736,0.00009834657,0.0026131081,0.0002470801,0.99250925,0.0041312072,0.000009230373],"about_ca_topic_score_codex":0.00077588845,"about_ca_topic_score_gemma":0.0007644275,"teacher_disagreement_score":0.011310149,"about_ca_system_score_codex":0.0013532334,"about_ca_system_score_gemma":0.00042477666,"threshold_uncertainty_score":0.037836254},"labels":[],"label_agreement":null},{"id":"W2230377422","doi":"10.1112/s0025579316000048","title":"ON SIGN CHANGES FOR ALMOST PRIME COEFFICIENTS OF HALF‐INTEGRAL WEIGHT MODULAR FORMS","year":2016,"lang":"en","type":"preprint","venue":"Mathematika","topic":"Advanced Algebra and Geometry","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":"Ramanujan's sum; Mathematics; Sign (mathematics); Modular form; Conjecture; Prime (order theory); Combinatorics; Natural number; Prime number; Prime factor; Pure mathematics; Mathematical analysis","score_opus":0.03974227028152403,"score_gpt":0.3191741330651125,"score_spread":0.27943186278358845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2230377422","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91000736,0.0004358065,0.061326064,0.0009922627,0.00029108592,0.0000305227,0.00006997338,0.00012581401,0.026721232],"genre_scores_gemma":[0.9834503,0.00038593108,0.008271512,0.00024243485,0.00016718014,0.000035791792,0.000069676425,0.00009933445,0.007277955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993656,0.00015806114,0.000030384776,0.00011964283,0.00018130458,0.000144977],"domain_scores_gemma":[0.9980008,0.00078413,0.00038334334,0.00028093168,0.00023968569,0.00031106506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013150483,0.0005481338,0.00041925945,0.0012962044,0.0013007295,0.0014963135,0.00094621704,0.0009847615,0.00494087],"category_scores_gemma":[0.009895479,0.0003330104,0.0005492527,0.0007680221,0.0031419217,0.004461644,0.0020801865,0.0022220947,0.00061951415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002346879,0.0000756078,0.002253815,0.000070504204,0.000011869117,0.0007469001,0.00077128015,0.0022285986,0.013162415,0.9625964,0.0011905844,0.016657284],"study_design_scores_gemma":[0.00005236749,0.00011433923,0.00191105,0.000059670754,0.000023099417,0.0013883391,0.00036551323,0.022110496,0.0064042634,0.9637113,0.0038000478,0.000059565464],"about_ca_topic_score_codex":0.00032741288,"about_ca_topic_score_gemma":0.00020602097,"teacher_disagreement_score":0.00494087,"about_ca_system_score_codex":0.00055690145,"about_ca_system_score_gemma":0.0003066568,"threshold_uncertainty_score":0.016528845},"labels":[],"label_agreement":null},{"id":"W2242179173","doi":"10.47749/t/unicamp.2015.946391","title":"Soluções do problema de Liouville-Gelfand via grupos de Lie","year":2015,"lang":"pt","type":"dissertation","venue":"","topic":"Advanced Algebra and Geometry","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":"Discovery Air (Canada)","funders":"","keywords":"Homogeneous space; Mathematics; Lie group; Pure mathematics; Mathematical physics; Combinatorics; Geometry","score_opus":0.026306496003013134,"score_gpt":0.3365036629141145,"score_spread":0.31019716691110133,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2242179173","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5722111,0.0037448755,0.20350268,0.008806474,0.0010067879,0.00024084824,0.0002967309,0.00023556863,0.209955],"genre_scores_gemma":[0.88950616,0.0025827733,0.056521073,0.000811624,0.0009072173,0.0003169595,0.00029438685,0.00014756272,0.048912186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934727,0.00023235937,0.000027251981,0.00008501943,0.00020296221,0.00010504005],"domain_scores_gemma":[0.999474,0.00016497624,0.00007786181,0.00006346345,0.000103944185,0.00011592374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014785201,0.0008354679,0.0008371139,0.0014903771,0.00200901,0.0026113656,0.0008505535,0.0016727136,0.005483091],"category_scores_gemma":[0.0030899886,0.0003206744,0.0012057412,0.0008738234,0.0034384553,0.003751003,0.0024268678,0.0025281708,0.00073755893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008425781,0.000008967496,0.000057634974,0.000026055033,0.000005743889,0.00004313372,0.00019452325,0.000991788,0.0003466608,0.9962584,0.0004234931,0.0016351718],"study_design_scores_gemma":[0.000012265598,0.000014404618,0.00004989879,0.000012210604,0.0000028220616,0.00005566532,0.00014871135,0.005976941,0.00017880627,0.9920495,0.0014934345,0.000005339752],"about_ca_topic_score_codex":0.000998322,"about_ca_topic_score_gemma":0.0008926207,"teacher_disagreement_score":0.005483091,"about_ca_system_score_codex":0.0013020942,"about_ca_system_score_gemma":0.0010962443,"threshold_uncertainty_score":0.018342793},"labels":[],"label_agreement":null},{"id":"W2242196695","doi":"10.1137/140986438","title":"Optimal Attitude Control with Two Rotation Axes","year":2019,"lang":"en","type":"preprint","venue":"SIAM Journal on Control and Optimization","topic":"Advanced Algebra and Geometry","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","keywords":"Rotation (mathematics); Euler angles; Sequence (biology); Euler's rotation theorem; Mathematics; Control (management); Angle of rotation; Euler's formula; Decomposition; Spacecraft; Control theory (sociology); Optimal control; Geometry; Computer science; Mathematical analysis; Physics; Mathematical optimization; Artificial intelligence","score_opus":0.012928558235272485,"score_gpt":0.2817073107682244,"score_spread":0.2687787525329519,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2242196695","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11363918,0.000768652,0.8690227,0.00038127642,0.00014050261,0.000043390566,0.00008696791,0.00018322827,0.01573403],"genre_scores_gemma":[0.8889837,0.00045117084,0.10425714,0.00007354051,0.000090384456,0.00013571276,0.000110695735,0.000063864594,0.0058337594],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964917,0.000098140656,0.000015656493,0.00006827098,0.00010112126,0.00006767899],"domain_scores_gemma":[0.9998282,0.00004661451,0.000041038653,0.000025257199,0.00003496317,0.00002395353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037288162,0.00075001625,0.0007016861,0.00034885827,0.00029742773,0.00067803275,0.00030941528,0.0004654974,0.0019372145],"category_scores_gemma":[0.0008834578,0.00039515816,0.00046705478,0.00040064566,0.00088785274,0.0005854322,0.00088276906,0.0006505722,0.00029637132],"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":[0.00043860546,0.000060083246,0.0005270227,0.00010916807,0.00004624239,0.000058646212,0.0000977017,0.78390926,0.01333924,0.12857188,0.0020000464,0.07084223],"study_design_scores_gemma":[0.00012802487,0.00023397621,0.00031998815,0.000019862102,0.000013432451,0.00002203631,0.00002789234,0.92888963,0.0022455289,0.06443141,0.00364831,0.000020055622],"about_ca_topic_score_codex":0.0012094814,"about_ca_topic_score_gemma":0.000719132,"teacher_disagreement_score":0.0019372145,"about_ca_system_score_codex":0.00047909055,"about_ca_system_score_gemma":0.00046091178,"threshold_uncertainty_score":0.006480634},"labels":[],"label_agreement":null},{"id":"W2242762634","doi":"10.1145/2815111.2815148","title":"An algorithm for determining actions of semisimple Lie groups on free resolutions","year":2015,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Advanced Algebra and Geometry","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":"Computer science; Algorithm; Algebra over a field; Mathematics; Pure mathematics","score_opus":0.20104030738167808,"score_gpt":0.4182267279179784,"score_spread":0.2171864205363003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2242762634","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021866187,0.0002821351,0.9589795,0.00027557474,0.00009642542,0.00029760436,0.0007526142,0.0065386733,0.010911401],"genre_scores_gemma":[0.09166073,0.0001726137,0.8973831,0.000078806515,0.00004067776,0.00022158754,0.0026646126,0.00083557307,0.0069424114],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991742,0.00013221739,0.00009233167,0.00022313271,0.0002516246,0.00012640504],"domain_scores_gemma":[0.9983935,0.0006635272,0.000080371414,0.00036606882,0.00037876546,0.00011791218],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091141154,0.001229092,0.0011571451,0.002280734,0.0014984459,0.0029194162,0.0026394024,0.0015623575,0.023283573],"category_scores_gemma":[0.003449833,0.0007336445,0.0012180905,0.0021730391,0.0009301002,0.0030564114,0.003228319,0.0015816032,0.008264963],"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":[0.0006687745,0.00034592085,0.0024570117,0.0005327477,0.00012675293,0.0003336353,0.0006123208,0.020229118,0.018015996,0.07925092,0.03546694,0.8419598],"study_design_scores_gemma":[0.0004998636,0.0003071405,0.0023240312,0.00015079186,0.00016296806,0.00076542795,0.0010202086,0.3804192,0.03157079,0.52692986,0.05569733,0.00015235909],"about_ca_topic_score_codex":0.0020019268,"about_ca_topic_score_gemma":0.004044146,"teacher_disagreement_score":0.023283573,"about_ca_system_score_codex":0.00092821504,"about_ca_system_score_gemma":0.0017063218,"threshold_uncertainty_score":0.07789129},"labels":[],"label_agreement":null},{"id":"W2243976033","doi":"10.4171/dm/385","title":"Bott periodicity for inclusions of symmetric spaces","year":2012,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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; Pure mathematics; Mathematical analysis","score_opus":0.04779915046770542,"score_gpt":0.3625259530946718,"score_spread":0.31472680262696634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2243976033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5680418,0.0013259557,0.25295538,0.0010720767,0.00070777646,0.00006557552,0.00026058595,0.0003719673,0.17519887],"genre_scores_gemma":[0.96126103,0.00045714178,0.021061689,0.00018328261,0.0002432355,0.0000622397,0.00015250989,0.0000559039,0.016522964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912864,0.00014827814,0.00006176173,0.00015344351,0.00035573367,0.00015207265],"domain_scores_gemma":[0.99926597,0.0002393886,0.00008868181,0.00013112059,0.00015559541,0.000119349665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010265724,0.00028510366,0.00035517308,0.0010453316,0.0012464224,0.0013465392,0.0003437418,0.00056016375,0.003881496],"category_scores_gemma":[0.0016652801,0.00022746655,0.0006276165,0.00045481467,0.0020825416,0.0024754792,0.0018237621,0.0008765198,0.00052768533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013049066,0.0000064561477,0.00019913883,0.000022099794,0.0000029074506,0.00010692976,0.0002216767,0.00025697905,0.0019330109,0.99314183,0.00046007073,0.0036359257],"study_design_scores_gemma":[0.0000117329655,0.00005354198,0.0010455187,0.000014497042,0.000006528125,0.00024178218,0.0001276871,0.0072091674,0.0037090664,0.9764489,0.011118439,0.000013207715],"about_ca_topic_score_codex":0.00048345374,"about_ca_topic_score_gemma":0.0004035983,"teacher_disagreement_score":0.003881496,"about_ca_system_score_codex":0.000733812,"about_ca_system_score_gemma":0.0003976545,"threshold_uncertainty_score":0.012984872},"labels":[],"label_agreement":null},{"id":"W2254961545","doi":"10.1090/crmp/030/07","title":"Hypergeometric modular forms and supersingular elliptic curves","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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; Concordia University","funders":"","keywords":"Supersingular elliptic curve; Elliptic curve; Mathematics; Hypergeometric function; Hypergeometric distribution; Pure mathematics","score_opus":0.02694039709234442,"score_gpt":0.2599081510173155,"score_spread":0.2329677539249711,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2254961545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4197807,0.005865967,0.19328214,0.0048598233,0.004919483,0.00015086982,0.00028654916,0.0010584247,0.36979613],"genre_scores_gemma":[0.7872599,0.0063437712,0.055590034,0.0011227875,0.0036186068,0.0001385114,0.0003790266,0.00038460293,0.14516273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997739,0.000049551847,0.00001306761,0.000037625618,0.0000806348,0.00004512298],"domain_scores_gemma":[0.9997248,0.00003843908,0.000058031095,0.00005655397,0.000048255406,0.00007389659],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047156637,0.0011994427,0.00057126174,0.0024705448,0.0016893807,0.0025207382,0.000667366,0.00085595204,0.004889761],"category_scores_gemma":[0.0008887838,0.00041235745,0.0005788308,0.001945292,0.003138584,0.0035664993,0.0018914577,0.0025238,0.001455679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014088277,0.000014162408,0.00010668821,0.00003345881,0.0000054012244,0.00019491324,0.00023934762,0.00036995302,0.001745137,0.98280555,0.0024416342,0.0120296],"study_design_scores_gemma":[0.000011070733,0.000044492306,0.00031501948,0.000022695554,0.000014779734,0.00083569036,0.00015121722,0.0033000903,0.0043177786,0.9557329,0.035225786,0.000028447957],"about_ca_topic_score_codex":0.00024308472,"about_ca_topic_score_gemma":0.0003569635,"teacher_disagreement_score":0.004889761,"about_ca_system_score_codex":0.0007393732,"about_ca_system_score_gemma":0.00028901643,"threshold_uncertainty_score":0.01635784},"labels":[],"label_agreement":null},{"id":"W2255660662","doi":"10.1016/j.jalgebra.2012.12.003","title":"Branching rules for supercuspidal representations of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">SL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>k</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>, for k a p-adic field","year":2012,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Multiplicity (mathematics); Representation (politics); Combinatorics; Mathematical analysis","score_opus":0.02095269333080251,"score_gpt":0.2668219279352575,"score_spread":0.24586923460445498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2255660662","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.078269854,0.0007344637,0.58374655,0.0015799078,0.0010442548,0.00028051378,0.0015020198,0.003289987,0.32955247],"genre_scores_gemma":[0.7258487,0.000997731,0.17039274,0.0009353074,0.00048297347,0.00026685992,0.0021265205,0.0037975295,0.09515159],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980818,0.00039599926,0.00015997436,0.00035182026,0.00066905125,0.00034131017],"domain_scores_gemma":[0.99735355,0.0011400452,0.00016961183,0.00048276372,0.0006208494,0.00023315202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002077569,0.0005706112,0.0005717733,0.0022589937,0.002656491,0.005270663,0.0014888069,0.0014744308,0.018306829],"category_scores_gemma":[0.006414087,0.0007106324,0.001634808,0.0015910033,0.0028912562,0.00590089,0.0021774552,0.0038868354,0.0074576424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029049907,0.000020438149,0.00021379109,0.00002917056,0.0000050404483,0.00020380429,0.0004525116,0.0003114281,0.0010136819,0.98154324,0.0044338424,0.011743931],"study_design_scores_gemma":[0.00001723383,0.000009335442,0.00015764592,0.0000347962,0.0000094528295,0.00021138007,0.00014993838,0.0030582792,0.0021700875,0.9750242,0.019132607,0.000025069314],"about_ca_topic_score_codex":0.0022649835,"about_ca_topic_score_gemma":0.002294699,"teacher_disagreement_score":0.018306829,"about_ca_system_score_codex":0.0015366231,"about_ca_system_score_gemma":0.00083724514,"threshold_uncertainty_score":0.0612424},"labels":[],"label_agreement":null},{"id":"W2261330816","doi":"10.1515/forum-2015-0034","title":"Vector valued theta functions associated with binary quadratic forms","year":2015,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Scalar (mathematics); Pure mathematics; Quadratic equation; Discriminant; Rank (graph theory); Theta function; Vector space; Lattice (music); Binary number; Basis (linear algebra); Space (punctuation); Representation (politics); Combinatorics; Physics; Arithmetic; Computer science; Artificial intelligence; Geometry","score_opus":0.04931828843072152,"score_gpt":0.3051038322356773,"score_spread":0.2557855438049558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2261330816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9290919,0.00031224053,0.043765258,0.0006969165,0.00023592159,0.000029120549,0.00013141036,0.00013648509,0.025600828],"genre_scores_gemma":[0.9891411,0.00017824177,0.0028266578,0.000064308675,0.00021044756,0.000028089422,0.00008258381,0.00005754112,0.0074110194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993697,0.00015210759,0.000019722866,0.00006779966,0.00019047315,0.00020015286],"domain_scores_gemma":[0.99923134,0.00016544283,0.0001383544,0.00005907266,0.00012595185,0.0002799886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009650582,0.0008355942,0.0006931872,0.0031746828,0.0011475426,0.0032345129,0.00073779235,0.0008482501,0.006770633],"category_scores_gemma":[0.0019583511,0.00031779165,0.00042667333,0.0012694781,0.0030419799,0.0030737035,0.0016151106,0.0014682667,0.00077261735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061387145,0.00003778304,0.00039149888,0.00002358079,0.0000050247304,0.00012597746,0.00024417805,0.0011980432,0.0019906808,0.9918498,0.0005013064,0.0035707573],"study_design_scores_gemma":[0.0000437926,0.000072233335,0.00070611684,0.000029323395,0.000006808644,0.00034893953,0.00031889236,0.017680325,0.0015734117,0.97710377,0.0020769779,0.0000392694],"about_ca_topic_score_codex":0.00043586607,"about_ca_topic_score_gemma":0.0002521074,"teacher_disagreement_score":0.006770633,"about_ca_system_score_codex":0.0009456316,"about_ca_system_score_gemma":0.00054928206,"threshold_uncertainty_score":0.022650063},"labels":[],"label_agreement":null},{"id":"W2266886627","doi":"10.1007/s00229-018-1001-8","title":"Generalizations of the Springer correspondence and cuspidal Langlands parameters","year":2018,"lang":"en","type":"preprint","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"Division of Mathematical Sciences; Nederlandse Organisatie voor Wetenschappelijk Onderzoek","keywords":"Mathematics; Langlands dual group; Unipotent; Bijection; Pure mathematics; Reductive group; Centralizer and normalizer; Algebraic group; Hecke algebra; Group (periodic table); Modular representation theory; Conjecture; Representation theory; Irreducible representation; Space (punctuation); Weyl group; Algebra over a field; Algebraic number; Combinatorics; Group theory; Linguistics; Mathematical analysis","score_opus":0.07205916565218395,"score_gpt":0.30769920629675807,"score_spread":0.2356400406445741,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2266886627","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40489298,0.004732499,0.15597822,0.012251917,0.003019265,0.00008282428,0.0008050966,0.0007222433,0.41751498],"genre_scores_gemma":[0.92015857,0.0018414088,0.012845289,0.0011840306,0.0038161736,0.000060107846,0.0003159463,0.00032357636,0.05945495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992594,0.0001856497,0.00005227469,0.0001917501,0.00020086618,0.00010999077],"domain_scores_gemma":[0.9988562,0.00028660434,0.00019908983,0.00025063695,0.00017600675,0.00023143706],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012368767,0.0008657413,0.00082144927,0.002745215,0.0018005815,0.004220703,0.0008928618,0.001594117,0.01307439],"category_scores_gemma":[0.0032683641,0.00042415355,0.00086996204,0.0014999856,0.003131336,0.008640603,0.0027018776,0.0033523794,0.0013344428],"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":[0.0000120907325,0.000009704574,0.00007954984,0.00001455353,0.000003050478,0.000046683217,0.00008407685,0.00018152253,0.0002247326,0.99689615,0.00067770015,0.0017700982],"study_design_scores_gemma":[0.000006934532,0.0000055569285,0.00012145838,0.0000055719465,0.0000027811857,0.00006218639,0.000038989616,0.0008329259,0.00008916722,0.9968549,0.001973714,0.0000058120268],"about_ca_topic_score_codex":0.0008265427,"about_ca_topic_score_gemma":0.0006877368,"teacher_disagreement_score":0.01307439,"about_ca_system_score_codex":0.0013960333,"about_ca_system_score_gemma":0.00065801607,"threshold_uncertainty_score":0.043738246},"labels":[],"label_agreement":null},{"id":"W2280576574","doi":"10.1142/s0219498818500056","title":"Infinite groups admitting a faithful irreducible representation","year":2017,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Faithful representation; Representation (politics); Irreducible representation; Mathematics; Pure mathematics; Algebra over a field; Political science; Law","score_opus":0.07184435082655982,"score_gpt":0.37593510239223876,"score_spread":0.30409075156567894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2280576574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9220567,0.00013403004,0.044235464,0.0007771928,0.00009522642,0.000042235482,0.00014890627,0.00028989994,0.03222039],"genre_scores_gemma":[0.9964373,0.00003482831,0.0019557541,0.000039621507,0.00006132054,0.000014236373,0.00010710475,0.000014103617,0.0013358615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989962,0.0001581981,0.00008201295,0.0002078119,0.0002075754,0.00034812168],"domain_scores_gemma":[0.9934802,0.002902289,0.0009097903,0.0008561242,0.0005369248,0.0013146074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001243345,0.0005473507,0.00073700066,0.0012685528,0.0017765878,0.0027735073,0.0006294568,0.0012952683,0.004939286],"category_scores_gemma":[0.007178632,0.00033707666,0.0007436993,0.000630524,0.004787277,0.0034189764,0.0027612848,0.0014030802,0.00053037505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000117600015,0.00007853875,0.0021286602,0.000071743074,0.000014562888,0.00071736274,0.00090227317,0.0015075515,0.0053497446,0.9832479,0.0005364126,0.0053277165],"study_design_scores_gemma":[0.00003541576,0.00014516775,0.0010378063,0.000029298151,0.000021493632,0.000615864,0.00072554854,0.006717229,0.0034324692,0.9850133,0.0021994319,0.000026944943],"about_ca_topic_score_codex":0.00033457956,"about_ca_topic_score_gemma":0.00041547022,"teacher_disagreement_score":0.004939286,"about_ca_system_score_codex":0.00056158367,"about_ca_system_score_gemma":0.00075269485,"threshold_uncertainty_score":0.01652354},"labels":[],"label_agreement":null},{"id":"W2289256314","doi":"10.1016/j.jmaa.2017.01.027","title":"The absolute continuity of convolutions of orbital measures in symmetric spaces","year":2017,"lang":"en","type":"preprint","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Algebra and Geometry","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":"Mathematics; Absolute continuity; Convolution (computer science); Rank (graph theory); Pure mathematics; Lie group; Coset; Invariant (physics); Type (biology); Symmetric space; Combinatorics; Mathematical analysis; Mathematical physics","score_opus":0.03850736993304717,"score_gpt":0.34084712542699797,"score_spread":0.3023397554939508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2289256314","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5021656,0.002469652,0.4483896,0.004422982,0.00060115644,0.00004567035,0.00045076435,0.00024048632,0.041214067],"genre_scores_gemma":[0.9579555,0.0012867404,0.029548777,0.00044648437,0.0007661373,0.00004961888,0.00028100022,0.00015018927,0.009515548],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997375,0.00080065726,0.00023692,0.0006378632,0.00060054794,0.0003490122],"domain_scores_gemma":[0.9876923,0.006331308,0.0014646541,0.0012798329,0.0015708397,0.0016611053],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006027143,0.0011219126,0.0011514275,0.0036118804,0.0023677633,0.007134191,0.002268303,0.002250622,0.0049821893],"category_scores_gemma":[0.020628197,0.0012255686,0.0015601462,0.0022967632,0.008730754,0.016704163,0.0050937883,0.0047926167,0.00045198094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026965765,0.000011904544,0.00027146708,0.000016549147,0.000007720607,0.000053916847,0.00015779903,0.00029529308,0.0003184635,0.997113,0.0001953837,0.0015314964],"study_design_scores_gemma":[0.000008970987,0.000014996894,0.00028130965,0.000009144226,0.000007139231,0.00011341078,0.00006230688,0.0053284145,0.00023030593,0.9933708,0.00056172936,0.000011410134],"about_ca_topic_score_codex":0.0016562074,"about_ca_topic_score_gemma":0.001053053,"teacher_disagreement_score":0.007134191,"about_ca_system_score_codex":0.0020607156,"about_ca_system_score_gemma":0.0014927499,"threshold_uncertainty_score":0.031874955},"labels":[],"label_agreement":null},{"id":"W2290754393","doi":"10.1090/tran/7138","title":"Derivative of the standard 𝑝-adic 𝐿-function associated with a Siegel form","year":2016,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"Fonds Wetenschappelijk Onderzoek; National Science Foundation","keywords":"Mathematics; Conjecture; Derivative (finance); Zero (linguistics); Genus; Function (biology); Pure mathematics; Weight function; Siegel modular form; Representation (politics); Combinatorics; Mathematical analysis; Modular form","score_opus":0.015412358738482509,"score_gpt":0.2633245164377037,"score_spread":0.2479121576992212,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2290754393","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20145981,0.00084100716,0.50452524,0.0011649246,0.0013487785,0.00010776123,0.00059161667,0.0021079087,0.28785294],"genre_scores_gemma":[0.77002454,0.00077004015,0.105576694,0.00052666495,0.0004415993,0.00011525795,0.00056021777,0.0014241792,0.12056082],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951434,0.0000650258,0.000028354427,0.00012406964,0.0001805776,0.00008754809],"domain_scores_gemma":[0.9996902,0.000056873498,0.00003715845,0.00007419245,0.00009511828,0.000046530084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005447455,0.0007151084,0.0004564066,0.0016136357,0.0010524206,0.002082057,0.0008439714,0.00073812675,0.012637675],"category_scores_gemma":[0.0012031741,0.00027849738,0.00071545166,0.00088810234,0.0017626758,0.002918614,0.0015344006,0.0018591247,0.0041445685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026440419,0.000014623192,0.00020963272,0.000053630236,0.000008908697,0.00016107303,0.00023796537,0.00074038986,0.0019102765,0.9753293,0.0024014416,0.018906325],"study_design_scores_gemma":[0.000019021652,0.00007851915,0.00067303755,0.000058032165,0.00003367332,0.000822809,0.0003110947,0.009518798,0.008489987,0.8796951,0.10024509,0.000054869968],"about_ca_topic_score_codex":0.0007346268,"about_ca_topic_score_gemma":0.00085832016,"teacher_disagreement_score":0.012637675,"about_ca_system_score_codex":0.0015578156,"about_ca_system_score_gemma":0.0004434752,"threshold_uncertainty_score":0.042277217},"labels":[],"label_agreement":null},{"id":"W2291028341","doi":"10.1090/proc/13167","title":"Some remarks related to Maeda’s conjecture","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science","score_opus":0.011324171157887168,"score_gpt":0.2822183097775261,"score_spread":0.27089413861963896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2291028341","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16480282,0.009845349,0.1647337,0.07717771,0.010085681,0.00011281991,0.0014318044,0.0017923594,0.57001776],"genre_scores_gemma":[0.80930036,0.004170353,0.0400116,0.010264616,0.010420361,0.00023978497,0.0012061947,0.00074239325,0.123644255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978885,0.0005400906,0.00010530879,0.0005519678,0.00055862684,0.00035558603],"domain_scores_gemma":[0.99589145,0.0019704953,0.00028726546,0.0008313416,0.00062299386,0.00039635037],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026232232,0.0010320963,0.0014202625,0.0021757777,0.0032834902,0.0036004542,0.0021803747,0.0025100089,0.03002064],"category_scores_gemma":[0.011327513,0.00048731593,0.0014875719,0.0020890387,0.004137024,0.00871821,0.0032923974,0.0046670847,0.003352209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008776595,0.000039270606,0.00089468516,0.0001258277,0.000020438807,0.0001451988,0.0002932104,0.001175172,0.00032992102,0.9625537,0.019717209,0.014617779],"study_design_scores_gemma":[0.000013049502,0.000015287858,0.0005208868,0.000025508589,0.00000896821,0.0000664346,0.0001081965,0.0032070822,0.00015530051,0.9846747,0.0111923115,0.000012374653],"about_ca_topic_score_codex":0.0022807622,"about_ca_topic_score_gemma":0.0018072383,"teacher_disagreement_score":0.03002064,"about_ca_system_score_codex":0.0020464133,"about_ca_system_score_gemma":0.0008051014,"threshold_uncertainty_score":0.100429},"labels":[],"label_agreement":null},{"id":"W2298141087","doi":"10.71781/15532","title":"Équations différentielles issues des vecteurs singuliers des représentations de l'algèbre de Virasoro","year":2008,"lang":"fr","type":"dissertation","venue":"Open MIND","topic":"Advanced Algebra and Geometry","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":"Pure mathematics; Mathematics","score_opus":0.06846819719092963,"score_gpt":0.41225050032474436,"score_spread":0.34378230313381475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2298141087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43586773,0.007950725,0.3191114,0.007896835,0.0018564546,0.0001725919,0.00076252094,0.00038851588,0.22599325],"genre_scores_gemma":[0.75052583,0.004484499,0.050282788,0.0008416711,0.0018648864,0.00024107349,0.00075969903,0.00045245962,0.190547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992613,0.00022899701,0.000030654777,0.0001370303,0.0002399248,0.00010212774],"domain_scores_gemma":[0.9990212,0.00030676433,0.0001372338,0.00006503842,0.0002628924,0.00020694865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013099194,0.0012467698,0.0008679599,0.001773037,0.0016967407,0.004692908,0.0014399814,0.0022420797,0.0089385295],"category_scores_gemma":[0.0047304453,0.0005908365,0.0012407429,0.0011623617,0.0032368694,0.004982629,0.0015436088,0.004461411,0.0014797576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002194429,0.000017140044,0.00018312642,0.00003076585,0.000011197565,0.000079498364,0.0002788725,0.0021259098,0.0013228107,0.9901814,0.0012066057,0.0045408765],"study_design_scores_gemma":[0.0000435478,0.000044037264,0.0008513331,0.00003861478,0.000013360511,0.00034141133,0.00030978784,0.049251214,0.0013910539,0.93784785,0.009827225,0.00004050088],"about_ca_topic_score_codex":0.009055192,"about_ca_topic_score_gemma":0.0064995447,"teacher_disagreement_score":0.009055192,"about_ca_system_score_codex":0.0032070728,"about_ca_system_score_gemma":0.001882857,"threshold_uncertainty_score":0.029902339},"labels":[],"label_agreement":null},{"id":"W2300035543","doi":"10.1112/s0010437x16007545","title":"On a lifting problem of L-packets","year":2016,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"National Science Foundation","keywords":"Network packet; Mathematics; Construct (python library); Symplectic geometry; Field (mathematics); Combinatorics; Zero (linguistics); Group (periodic table); Pure mathematics; Discrete mathematics; Computer science; Physics; Computer network; Linguistics; Philosophy","score_opus":0.03098240310338884,"score_gpt":0.3102799897766121,"score_spread":0.27929758667322324,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2300035543","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6268091,0.0008207209,0.22967814,0.012978836,0.0008296671,0.00012587411,0.00042936028,0.00039998782,0.12792821],"genre_scores_gemma":[0.94961226,0.00076167553,0.029401071,0.0013940694,0.00090731384,0.00009429547,0.00053237914,0.00017657907,0.017120313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990263,0.00026003743,0.00005150585,0.00021499365,0.00020453517,0.00024272688],"domain_scores_gemma":[0.99801254,0.0009673335,0.00018342781,0.00039476517,0.00015792936,0.00028395635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017328836,0.00059372425,0.00067798496,0.0015015068,0.0031776542,0.0027390863,0.0012069219,0.0022369567,0.009656905],"category_scores_gemma":[0.004978763,0.0005415579,0.0012845778,0.00102283,0.005973262,0.009497028,0.0063480856,0.005124415,0.0013374964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021716143,0.000016368038,0.00026140406,0.000021069958,0.0000027403478,0.000110613575,0.00035015255,0.0003681947,0.0003163264,0.9941235,0.00081221556,0.0035957135],"study_design_scores_gemma":[0.000020002253,0.00002506513,0.00020632932,0.000019450723,0.00000432271,0.000108950364,0.00028384873,0.0023639863,0.0003746789,0.99243695,0.0041443817,0.000012053709],"about_ca_topic_score_codex":0.00093875354,"about_ca_topic_score_gemma":0.0004006949,"teacher_disagreement_score":0.009656905,"about_ca_system_score_codex":0.0013039402,"about_ca_system_score_gemma":0.00076866127,"threshold_uncertainty_score":0.0323056},"labels":[],"label_agreement":null},{"id":"W2312798801","doi":"10.4153/cmb-2002-039-5","title":"Mellin Transforms of Whittaker Functions","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Meromorphic function; Mellin transform; Pure mathematics; Lie group; Algebra over a field; Mellin inversion theorem; Representation (politics); Mathematical analysis; Fourier transform; Fourier analysis; Politics","score_opus":0.041411961335139094,"score_gpt":0.24664855317528708,"score_spread":0.20523659184014797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2312798801","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8862433,0.00023474229,0.070157856,0.0005496861,0.00013291149,0.000025342035,0.00007941247,0.0002938364,0.04228297],"genre_scores_gemma":[0.98937744,0.00012606976,0.0028550178,0.000051639403,0.000050490056,0.0000110635465,0.00002551012,0.000053546955,0.007449159],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997675,0.000047485883,0.00000944297,0.000037856953,0.000065461565,0.00007228534],"domain_scores_gemma":[0.9994837,0.00013259707,0.00010119973,0.000068720685,0.00007746093,0.00013636693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005055761,0.0006814506,0.00035671328,0.0010164444,0.0007406771,0.001930802,0.00032816635,0.00071649795,0.0063541196],"category_scores_gemma":[0.0015239866,0.00021967903,0.0003646233,0.0003996047,0.002103443,0.0030282151,0.00081896735,0.0012084023,0.00074490585],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009803873,0.000029806823,0.00047340864,0.00002450781,0.000005285396,0.0005183459,0.00038138437,0.002207518,0.010982424,0.9794613,0.00046668822,0.005351319],"study_design_scores_gemma":[0.000028626731,0.00011865256,0.0013361974,0.000030821528,0.000009777138,0.00089564646,0.0005480538,0.026427098,0.014608762,0.9523445,0.003608562,0.000043390486],"about_ca_topic_score_codex":0.00032755712,"about_ca_topic_score_gemma":0.0002682884,"teacher_disagreement_score":0.0063541196,"about_ca_system_score_codex":0.00047029846,"about_ca_system_score_gemma":0.00024723524,"threshold_uncertainty_score":0.021256685},"labels":[],"label_agreement":null},{"id":"W2314290712","doi":"10.5802/aif.2153","title":"The geometry of Calogero-Moser systems","year":2005,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Integrable system; Mathematics; Invariant (physics); Root system; Phase space; Pure mathematics; Lagrangian; Geometry; Physics; Mathematical physics; Quantum mechanics","score_opus":0.030441225545197313,"score_gpt":0.3049503174495145,"score_spread":0.2745090919043172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2314290712","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76349366,0.00079689524,0.0516281,0.001988216,0.00022290803,0.000083300365,0.00027940498,0.0002319794,0.18127552],"genre_scores_gemma":[0.98169327,0.00021561203,0.0055617737,0.00015586156,0.00013069029,0.000044086457,0.0001277297,0.000054080596,0.012016914],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995759,0.00009123487,0.0000151275035,0.00008968081,0.00012687006,0.00010117558],"domain_scores_gemma":[0.9998031,0.000025387115,0.00004478052,0.000023616138,0.000037227102,0.00006588409],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004444888,0.00047016106,0.0003782041,0.00151173,0.001520035,0.0022143186,0.00057508564,0.00081399345,0.005658202],"category_scores_gemma":[0.0005931844,0.00023719885,0.00044004174,0.00047386176,0.0023230377,0.0022029884,0.0017448406,0.0010731949,0.0007928254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006044693,0.0000052921378,0.00007807415,0.000005699335,0.0000017413912,0.000029191044,0.00009081254,0.00042057197,0.0005358941,0.99794406,0.00023110931,0.00065165345],"study_design_scores_gemma":[0.00002625566,0.000037897316,0.0005548306,0.000012351329,0.00000538846,0.00014192768,0.0002369267,0.008881326,0.00083102775,0.9839479,0.0053068,0.000017373059],"about_ca_topic_score_codex":0.0011586656,"about_ca_topic_score_gemma":0.0006586823,"teacher_disagreement_score":0.005658202,"about_ca_system_score_codex":0.0012153641,"about_ca_system_score_gemma":0.00043036524,"threshold_uncertainty_score":0.018928587},"labels":[],"label_agreement":null},{"id":"W2319868604","doi":"10.4153/cjm-2000-047-4","title":"Ramanujan Type Buildings","year":2000,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Quotient; Affine transformation; Ramanujan's sum; Pure mathematics; Type (biology); Graph; Spectrum (functional analysis); Algebra over a field; Discrete mathematics","score_opus":0.029593571222289096,"score_gpt":0.28100748363936273,"score_spread":0.2514139124170736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2319868604","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8677508,0.00036448214,0.04789729,0.00028434003,0.000064133776,0.000036605074,0.00016526987,0.0002621317,0.08317499],"genre_scores_gemma":[0.98309237,0.00010280732,0.0069222725,0.000040504085,0.000043592347,0.000019255474,0.00013238796,0.000044420172,0.009602346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995365,0.00008978304,0.000016520282,0.00010032531,0.0001442651,0.00011257557],"domain_scores_gemma":[0.99947554,0.00014154427,0.00007284129,0.000103116465,0.0000741814,0.00013285229],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035264008,0.00035362394,0.0004308599,0.0016055821,0.0010871781,0.0019153239,0.0005561469,0.00044183797,0.0067450916],"category_scores_gemma":[0.0009593625,0.0002767731,0.00046058086,0.0005059053,0.0020484896,0.0013249138,0.0014124035,0.0009727617,0.0007265329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029807046,0.0000114547665,0.00054106786,0.000015319229,0.0000058254127,0.00011164385,0.00019228777,0.0015983362,0.0026720583,0.9915645,0.00027672885,0.0029809491],"study_design_scores_gemma":[0.0000197506,0.0000626601,0.0023437494,0.000022238324,0.000020512594,0.00038191464,0.0004583286,0.016823046,0.0052547534,0.9664719,0.008121009,0.000020104415],"about_ca_topic_score_codex":0.0013141243,"about_ca_topic_score_gemma":0.0013070462,"teacher_disagreement_score":0.0067450916,"about_ca_system_score_codex":0.00070167874,"about_ca_system_score_gemma":0.00023781093,"threshold_uncertainty_score":0.02256459},"labels":[],"label_agreement":null},{"id":"W2320583973","doi":"10.4153/cjm-2001-011-7","title":"On the Tempered Spectrum of Quasi-Split Classical Groups II","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":18,"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 Mathematical Society; National Science Foundation","keywords":"Mathematics; Unitary state; Product (mathematics); Spectrum (functional analysis); Pure mathematics; Unitary representation; Zero (linguistics); Unitary group; Irreducible representation; Quadratic equation; Extension (predicate logic); Component (thermodynamics); Function (biology); Combinatorics; Lie group; Geometry","score_opus":0.037824026419123594,"score_gpt":0.27014319955871896,"score_spread":0.23231917313959538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2320583973","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97268337,0.00010385548,0.018726341,0.00016875987,0.00002778544,0.000011125995,0.00001794495,0.00006507861,0.008195752],"genre_scores_gemma":[0.996852,0.000034175562,0.001534959,0.000021589893,0.000017845385,0.0000073697,0.0000118209455,0.000016377047,0.0015039867],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979573,0.000036929516,0.000009046775,0.000036410067,0.000058684716,0.00006323318],"domain_scores_gemma":[0.9995931,0.0000822598,0.000076482494,0.000049225127,0.00005013056,0.00014878587],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006333855,0.00039153773,0.00036920086,0.0011371651,0.0009791949,0.0017588021,0.0004877102,0.00060383393,0.003766387],"category_scores_gemma":[0.0011314825,0.00023393345,0.0003776014,0.0003462523,0.0026439982,0.0020344802,0.00103722,0.00065722415,0.00031509335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017012011,0.00004795704,0.0010047704,0.00003155019,0.0000099018,0.00058380835,0.0010390257,0.0025455114,0.012576626,0.9784227,0.00023461378,0.0033334577],"study_design_scores_gemma":[0.00007076268,0.00014312242,0.0020486468,0.00004050111,0.000013699002,0.0006010413,0.00070552813,0.037894905,0.0069526364,0.95018965,0.001310612,0.00002888238],"about_ca_topic_score_codex":0.0004895257,"about_ca_topic_score_gemma":0.0003033639,"teacher_disagreement_score":0.003766387,"about_ca_system_score_codex":0.0008381159,"about_ca_system_score_gemma":0.000278345,"threshold_uncertainty_score":0.012599826},"labels":[],"label_agreement":null},{"id":"W2322102914","doi":"10.4153/cmb-2006-054-3","title":"On the Structure of the Full Lift for the Howe Correspondence of (<i>Sp</i>(<i>n</i>), <i>O</i>(<i>V</i>)) for Rank-One Reducibilities","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":17,"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; Lift (data mining); Rank (graph theory); Combinatorics; Pure mathematics; Computer science; Data mining","score_opus":0.02084835305470739,"score_gpt":0.24798051380330388,"score_spread":0.2271321607485965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2322102914","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8466757,0.0002034671,0.040714655,0.0012833959,0.00029064933,0.00008680393,0.00034022066,0.0003892034,0.11001589],"genre_scores_gemma":[0.9790563,0.000110733774,0.009396376,0.00021916926,0.00015380228,0.00004818474,0.00031445306,0.00014338765,0.010557609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999209,0.00010308179,0.000032461285,0.00013987953,0.00024709437,0.00026848432],"domain_scores_gemma":[0.999084,0.00020565152,0.00013852172,0.00012799966,0.00018044098,0.00026342768],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007986778,0.00042238244,0.000677353,0.0028159409,0.003653512,0.0029017862,0.00088021235,0.0011672915,0.012028616],"category_scores_gemma":[0.0020117068,0.00032954582,0.0007096525,0.00083069154,0.0029606025,0.005216586,0.0028810604,0.0031426717,0.001207291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046477453,0.000034281245,0.00048319044,0.000020349935,0.0000046906603,0.00019833018,0.00046977247,0.00033137487,0.0012725062,0.9911212,0.0009697802,0.0050479844],"study_design_scores_gemma":[0.000025050675,0.00004343668,0.00089086726,0.000021975366,0.0000071182094,0.00026719875,0.0006311685,0.003065464,0.0013876521,0.9885848,0.005041147,0.00003396643],"about_ca_topic_score_codex":0.0013928249,"about_ca_topic_score_gemma":0.0010370762,"teacher_disagreement_score":0.012028616,"about_ca_system_score_codex":0.0010989236,"about_ca_system_score_gemma":0.000731442,"threshold_uncertainty_score":0.04023969},"labels":[],"label_agreement":null},{"id":"W2322944877","doi":"10.4153/cmb-2000-045-1","title":"Twists of a General Class of <i>L</i>-Functions by Highly Ramified Characters","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":15,"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; Character (mathematics); Pure mathematics; Class (philosophy); Representation (politics); Algebra over a field; Geometry","score_opus":0.011327013554212001,"score_gpt":0.2382419217887749,"score_spread":0.2269149082345629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2322944877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96812826,0.00009579328,0.013075626,0.00015719456,0.000072952935,0.00001486218,0.000028598331,0.00016626107,0.018260524],"genre_scores_gemma":[0.9971162,0.00003859686,0.00077402167,0.0000232603,0.000030508067,0.000006677203,0.000015945488,0.000023702923,0.0019710483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997018,0.00006584155,0.0000115003895,0.000038646605,0.000052220385,0.0001299751],"domain_scores_gemma":[0.9996123,0.000062515,0.00008668686,0.00007110234,0.000026981383,0.0001405563],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050599355,0.0005370365,0.0005764889,0.0011497057,0.0012343392,0.0016495435,0.0004446834,0.0007905557,0.0045890473],"category_scores_gemma":[0.00074602047,0.00024929811,0.0006492736,0.00044066025,0.0026718024,0.001563315,0.001184803,0.00089157815,0.00038049906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057383475,0.00008446013,0.0024710093,0.00008153946,0.000036385132,0.0025251824,0.0012026062,0.007311939,0.03057145,0.94647723,0.0008651389,0.0077991816],"study_design_scores_gemma":[0.00020418005,0.0008107493,0.0050662803,0.00008811312,0.000074810094,0.0041848207,0.0014685129,0.069400825,0.029957328,0.8812499,0.007303532,0.00019089549],"about_ca_topic_score_codex":0.00024425748,"about_ca_topic_score_gemma":0.0002164592,"teacher_disagreement_score":0.0045890473,"about_ca_system_score_codex":0.00064910564,"about_ca_system_score_gemma":0.00024130617,"threshold_uncertainty_score":0.0153518915},"labels":[],"label_agreement":null},{"id":"W2323102738","doi":"10.5802/aif.2035","title":"Non-vanishing of class group <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>L</mml:mi> </mml:math> -functions at the central point","year":2004,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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":"","keywords":"Class (philosophy); Mathematics; Quadratic equation; Constant (computer programming); Group (periodic table); Point (geometry); Combinatorics; Pure mathematics; Mathematical physics; Mathematical analysis; Physics; Geometry; Quantum mechanics; Computer science","score_opus":0.01943372093335908,"score_gpt":0.249494261001456,"score_spread":0.23006054006809692,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2323102738","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5759902,0.0011731145,0.15121742,0.006038072,0.0021777384,0.00011484267,0.00059710105,0.0020153346,0.26067615],"genre_scores_gemma":[0.91716653,0.0004793122,0.010005236,0.0005497879,0.0011800393,0.00009875604,0.00039458138,0.0007403667,0.06938532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865675,0.00019484262,0.0000370058,0.00033516603,0.0002839094,0.0004923127],"domain_scores_gemma":[0.9971846,0.00049087114,0.00032911683,0.0003214435,0.0005381708,0.0011357352],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012732228,0.0011130997,0.0011622709,0.0029383753,0.0032958589,0.0043008802,0.0015973707,0.0015552626,0.0202464],"category_scores_gemma":[0.004860189,0.00049507397,0.0011587478,0.0006930986,0.004202938,0.005729011,0.002678046,0.004273653,0.0037582675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015955338,0.000062704545,0.00070206646,0.000063022766,0.000015749561,0.0002439011,0.0002908912,0.000489172,0.0021911862,0.9821003,0.0054012034,0.008280219],"study_design_scores_gemma":[0.0000701368,0.00010815645,0.0017994824,0.00004354033,0.000020820888,0.0004778068,0.00022056383,0.010241903,0.0036759253,0.9741173,0.009169661,0.00005468879],"about_ca_topic_score_codex":0.0028145448,"about_ca_topic_score_gemma":0.0021281515,"teacher_disagreement_score":0.0202464,"about_ca_system_score_codex":0.003477748,"about_ca_system_score_gemma":0.0018636865,"threshold_uncertainty_score":0.0677309},"labels":[],"label_agreement":null},{"id":"W2324294817","doi":"10.1017/s1474748014000437","title":"TEMPERED SPECTRAL TRANSFER IN THE TWISTED ENDOSCOPY OF REAL GROUPS","year":2014,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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":"Carleton University","funders":"","keywords":"Mathematics; Omega; Automorphism; Combinatorics; Algebraic number; Group (periodic table); Matching (statistics); Transfer (computing); Dual (grammatical number); Pure mathematics; Mathematical analysis; Physics; Statistics","score_opus":0.02943709585636936,"score_gpt":0.29350199286698253,"score_spread":0.2640648970106132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2324294817","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93699074,0.00010495938,0.038285427,0.00031120304,0.000051432085,0.000016978353,0.00004959694,0.000110158784,0.024079645],"genre_scores_gemma":[0.99057686,0.00006166511,0.0030485338,0.000038949864,0.000046741134,0.000013196494,0.000039438433,0.000032230302,0.006142383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996785,0.00006274816,0.000012461235,0.00007036292,0.000072543524,0.000103365266],"domain_scores_gemma":[0.99951375,0.00009760973,0.0000775152,0.00006317502,0.000064473534,0.00018344935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041364838,0.00036125153,0.00029558688,0.0012578011,0.0009936885,0.0019555832,0.00046284066,0.00061095296,0.005977346],"category_scores_gemma":[0.0016196311,0.00021567204,0.00043260882,0.0004673706,0.002470205,0.0027804845,0.00169758,0.0008874544,0.000576562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045082226,0.000012123145,0.00048138388,0.000008634425,0.0000028507168,0.00015986087,0.00040281322,0.0008161446,0.0021604993,0.9932561,0.0001555833,0.0024990104],"study_design_scores_gemma":[0.00002923977,0.00009338754,0.0011206056,0.000017435821,0.000009520108,0.0004680979,0.0006004016,0.021264387,0.003561252,0.9704697,0.0023407005,0.000025293331],"about_ca_topic_score_codex":0.00047017698,"about_ca_topic_score_gemma":0.00023490637,"teacher_disagreement_score":0.005977346,"about_ca_system_score_codex":0.000849058,"about_ca_system_score_gemma":0.000259644,"threshold_uncertainty_score":0.019996166},"labels":[],"label_agreement":null},{"id":"W2326113283","doi":"10.4153/cmb-2002-031-7","title":"The Transfer in the Invariant Theory of Modular Permutation Representations II","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Mathematics; Invariant (physics); Monomial; Permutation (music); Transfer (computing); Modular design; Cyclic permutation; Image (mathematics); Pure mathematics; Algebra over a field; Combinatorics; Discrete mathematics; Symmetric group; Artificial intelligence","score_opus":0.038240667053521415,"score_gpt":0.26443909506444807,"score_spread":0.22619842801092666,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326113283","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.778714,0.00056037196,0.056696136,0.002206783,0.00035457572,0.00003876184,0.000115684066,0.00030030942,0.16101336],"genre_scores_gemma":[0.9893054,0.00014275819,0.0015514317,0.00010070737,0.00021110631,0.000011396018,0.00003721748,0.00003107381,0.008608818],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999688,0.000047240377,0.000008086286,0.000039793627,0.00011311516,0.00010379496],"domain_scores_gemma":[0.9997241,0.00006808558,0.000037809743,0.00003938973,0.00003989428,0.00009072932],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043473742,0.000274219,0.00037511645,0.00089937664,0.0009062004,0.0020832038,0.0004439396,0.00053811254,0.0048655467],"category_scores_gemma":[0.0008058586,0.00016857752,0.00038841087,0.000476265,0.0029806544,0.0024896422,0.001293559,0.0014506881,0.00053380197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025979758,0.000021245029,0.00010839249,0.0000124731205,0.0000016323443,0.0000762163,0.00018982698,0.00064615166,0.0020179017,0.9932655,0.0005151981,0.0031194629],"study_design_scores_gemma":[0.000018694738,0.000043646804,0.0003067917,0.000011422351,0.0000041858534,0.00011110709,0.00013471977,0.0048421794,0.0025232062,0.98991525,0.002079533,0.000009233399],"about_ca_topic_score_codex":0.0006178943,"about_ca_topic_score_gemma":0.00026594233,"teacher_disagreement_score":0.0048655467,"about_ca_system_score_codex":0.00125858,"about_ca_system_score_gemma":0.000639401,"threshold_uncertainty_score":0.016276896},"labels":[],"label_agreement":null},{"id":"W2327560704","doi":"10.1093/imrn/rnr112","title":"Weyl Sums for Quadratic Roots","year":2011,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":38,"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":"Mathematics; Quadratic equation; Library science; Mathematics education; Computer science; Geometry","score_opus":0.4501757350483835,"score_gpt":0.5034088688480293,"score_spread":0.05323313379964578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2327560704","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39511016,0.004689593,0.35942253,0.002987771,0.0018608919,0.0000723154,0.00059226033,0.0013134057,0.23395109],"genre_scores_gemma":[0.9220182,0.0013587761,0.018391581,0.00064597034,0.0013503458,0.00008629706,0.00038311788,0.0009553804,0.054810274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987962,0.00019110527,0.00005770288,0.00018042859,0.00050205743,0.00027233904],"domain_scores_gemma":[0.99874413,0.00029989894,0.00018137561,0.00019560817,0.00028696982,0.00029212926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011154328,0.0012224121,0.0009149493,0.003624126,0.0016578425,0.0031226063,0.0011049713,0.00077036617,0.014120303],"category_scores_gemma":[0.004881932,0.00031266082,0.0006658112,0.0016076281,0.0026305665,0.0058248616,0.003313783,0.0022262596,0.00249619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003968612,0.000019342318,0.000353757,0.00009222803,0.000022608048,0.00008779688,0.00019364366,0.0019912955,0.0024957357,0.98066676,0.0029526271,0.011084455],"study_design_scores_gemma":[0.0000073543997,0.000022071734,0.0007221176,0.00004520213,0.000018734661,0.00019215072,0.00008584191,0.012597492,0.0031641924,0.9772465,0.0058662524,0.00003220733],"about_ca_topic_score_codex":0.00046870433,"about_ca_topic_score_gemma":0.0006732351,"teacher_disagreement_score":0.014120303,"about_ca_system_score_codex":0.0009838757,"about_ca_system_score_gemma":0.00037884837,"threshold_uncertainty_score":0.047237158},"labels":[],"label_agreement":null},{"id":"W2329573216","doi":"10.4153/cmb-2001-020-8","title":"The Trace Formula and Its Applications: An Introduction to the Work of James Arthur","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":true,"ca_institutions":"","funders":"","keywords":"Honour; Gold medal; TRACE (psycholinguistics); Work (physics); Medal; Classics; Mathematics; Library science; Art history; Engineering; History; Political science; Law; Philosophy; Computer science; Mechanical engineering","score_opus":0.017458343067632623,"score_gpt":0.2680442483051797,"score_spread":0.2505859052375471,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2329573216","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004139591,0.55036736,0.103704564,0.03003718,0.017967045,0.00007660493,0.00025321578,0.00035293057,0.2931015],"genre_scores_gemma":[0.13587877,0.5071977,0.091145635,0.015190787,0.06180679,0.00035653185,0.00045679705,0.0011665771,0.18680048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983209,0.0005762547,0.00012955799,0.00025050002,0.00059828965,0.00012448235],"domain_scores_gemma":[0.99805486,0.0013777451,0.00008750033,0.000117709984,0.00025377827,0.00010847013],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026194581,0.001577398,0.001282148,0.0046849297,0.0035226617,0.004928592,0.0017929503,0.002921485,0.0071993684],"category_scores_gemma":[0.006360553,0.0011246304,0.0016506385,0.0072712507,0.008071442,0.009780477,0.0033118636,0.0086398395,0.0032570302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015231854,0.000028438486,0.0001358213,0.00018033442,0.000010302654,0.00009140316,0.000520311,0.0005204269,0.0001632922,0.93594486,0.031163642,0.031225974],"study_design_scores_gemma":[0.0000065107283,0.000028293263,0.00022671715,0.00029926808,0.000010149853,0.00027521138,0.00014204506,0.0009619434,0.00012303672,0.6699479,0.3279384,0.00004055425],"about_ca_topic_score_codex":0.009881162,"about_ca_topic_score_gemma":0.006177154,"teacher_disagreement_score":0.009881162,"about_ca_system_score_codex":0.0041788714,"about_ca_system_score_gemma":0.0021936751,"threshold_uncertainty_score":0.03031993},"labels":[],"label_agreement":null},{"id":"W2330468761","doi":"10.4153/cmb-2006-050-4","title":"The Values of Modular Functions and Modular Forms","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Zero (linguistics); Genus; Series (stratigraphy); Modular form; Pure mathematics; Modular design; Combinatorics; Algebra over a field","score_opus":0.010082857853539531,"score_gpt":0.23076041498074798,"score_spread":0.22067755712720843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2330468761","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9126963,0.0006543208,0.023004215,0.0005820333,0.0001069805,0.000031486994,0.000070238326,0.00021933523,0.06263502],"genre_scores_gemma":[0.9939334,0.00019005046,0.0023527688,0.000023909695,0.00006984349,0.000010391312,0.000017086739,0.000031120602,0.0033715165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996118,0.000091101116,0.00002135031,0.00005520058,0.00010563874,0.00011492431],"domain_scores_gemma":[0.9987814,0.0005481637,0.00015177556,0.00012757172,0.00017315487,0.00021795733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014467163,0.0008036217,0.000513074,0.0038340115,0.0015890155,0.0032140526,0.0009652923,0.0007589596,0.004558296],"category_scores_gemma":[0.006693929,0.0003591815,0.00043692376,0.0012543263,0.0047514914,0.0041287653,0.0013536705,0.0011117868,0.0005179133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045460798,0.000030875053,0.0011656052,0.000043545955,0.000011330233,0.00025324023,0.000556433,0.0023270603,0.0031863186,0.9822541,0.00037868432,0.009747337],"study_design_scores_gemma":[0.000019111605,0.000037422342,0.0014430456,0.000045050983,0.000014793903,0.000308373,0.00023033161,0.011670446,0.0049539194,0.97896373,0.0022769608,0.00003686529],"about_ca_topic_score_codex":0.00078349217,"about_ca_topic_score_gemma":0.0007564999,"teacher_disagreement_score":0.004558296,"about_ca_system_score_codex":0.0020314462,"about_ca_system_score_gemma":0.00064041984,"threshold_uncertainty_score":0.015249014},"labels":[],"label_agreement":null},{"id":"W2332664091","doi":"10.4153/cmb-2005-050-9","title":"Degeneracy of 2-Forms and 3-Forms","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Pure mathematics; Cohomology; Degeneracy (biology); Manifold (fluid mechanics); Degree (music); Projective test; Algebra over a field; Differential form; Representation (politics)","score_opus":0.017106951386301437,"score_gpt":0.2660288543513941,"score_spread":0.24892190296509267,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2332664091","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98918766,0.00007218081,0.0040464443,0.00008505968,0.0000065397476,0.000006386135,0.000033473338,0.00001854149,0.0065437253],"genre_scores_gemma":[0.99858534,0.0000404595,0.00047881829,0.000010148384,0.0000075591356,0.0000045826096,0.000027435177,0.0000067976475,0.0008388065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939597,0.00007755354,0.00003351364,0.00011402785,0.00021457455,0.0001644201],"domain_scores_gemma":[0.9993635,0.00014214155,0.00012339711,0.00009831493,0.000076512406,0.00019620641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007137916,0.00039435792,0.0006440584,0.002791346,0.0015562833,0.0020944015,0.00053516857,0.00063434214,0.0050392947],"category_scores_gemma":[0.002003438,0.00026895656,0.00048723043,0.0011809809,0.003238368,0.0033480027,0.002783195,0.0010234105,0.00023362071],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018901739,0.00008499068,0.016740704,0.00008080146,0.000033261822,0.00096802,0.002159411,0.009574153,0.013062521,0.9449424,0.00043932267,0.011725448],"study_design_scores_gemma":[0.000034608245,0.00008579522,0.012768489,0.000044472377,0.000020119103,0.0009702792,0.0010835436,0.03119212,0.0041380404,0.9474739,0.0021478373,0.000040665236],"about_ca_topic_score_codex":0.0007078909,"about_ca_topic_score_gemma":0.00049747655,"teacher_disagreement_score":0.0050392947,"about_ca_system_score_codex":0.001041071,"about_ca_system_score_gemma":0.00023179557,"threshold_uncertainty_score":0.01685816},"labels":[],"label_agreement":null},{"id":"W2333264753","doi":"10.1515/integ.2011.043","title":"On Congruent Numbers with Three Prime Factors","year":2011,"lang":"en","type":"article","venue":"Integers","topic":"Advanced Algebra and Geometry","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, Okanagan Campus","funders":"","keywords":"Mathematics; Prime (order theory); Prime factor; Combinatorics; Arithmetic","score_opus":0.07812468948948857,"score_gpt":0.287408219586617,"score_spread":0.2092835300971284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2333264753","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24360862,0.0006532212,0.59288687,0.0008522539,0.0014794498,0.00049472036,0.00016001471,0.0009401314,0.15892473],"genre_scores_gemma":[0.605591,0.00051204266,0.3696681,0.0002864096,0.00019930473,0.00022961636,0.00016891448,0.00041363906,0.02293093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987949,0.00036271312,0.00006571937,0.00014444032,0.00043714643,0.00019514297],"domain_scores_gemma":[0.9992913,0.00031388766,0.000053627024,0.000116771706,0.00014617192,0.00007819029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011746689,0.0009918446,0.0008879162,0.0019529576,0.0019104286,0.0023877986,0.00066566933,0.00067162886,0.011004879],"category_scores_gemma":[0.0036506841,0.00051784073,0.0008941534,0.0012850533,0.0033608484,0.0021618425,0.0027167804,0.0018355689,0.0023991787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025868358,0.000047674544,0.00033814748,0.000100075245,0.000013869916,0.00045031135,0.0008254767,0.002038425,0.008878737,0.9426491,0.0018259737,0.04257364],"study_design_scores_gemma":[0.00016451106,0.00023212771,0.00026332532,0.00013279537,0.00006197103,0.0005314485,0.000517507,0.011801917,0.030106526,0.8899737,0.06614849,0.000065641565],"about_ca_topic_score_codex":0.0004208816,"about_ca_topic_score_gemma":0.00050780544,"teacher_disagreement_score":0.011004879,"about_ca_system_score_codex":0.00073004403,"about_ca_system_score_gemma":0.0006218887,"threshold_uncertainty_score":0.036814928},"labels":[],"label_agreement":null},{"id":"W2333319145","doi":"10.1007/s00220-016-2772-y","title":"Vertical D4–D2–D0 Bound States on K3 Fibrations and Modularity","year":2016,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Advanced Algebra and Geometry","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 Toronto; University of Alberta","funders":"","keywords":"Modularity (biology); Fibered knot; Modular form; String (physics); Function (biology); Upper and lower bounds; Generating function; Complex system","score_opus":0.08332873621605684,"score_gpt":0.37083696063186533,"score_spread":0.2875082244158085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2333319145","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66800463,0.0005878538,0.1295651,0.0032747635,0.0009970961,0.000097124124,0.0004591305,0.000875892,0.19613841],"genre_scores_gemma":[0.9525096,0.00021472215,0.017303823,0.0006898205,0.00035373282,0.000073555384,0.0002629622,0.00036668108,0.028225146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989348,0.00021249903,0.00006766714,0.00021469062,0.0002257631,0.00034463636],"domain_scores_gemma":[0.99837214,0.00033812565,0.00027174872,0.00024649876,0.00025870444,0.00051281997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009821927,0.0013590079,0.0008777438,0.003820569,0.0035322623,0.0049334,0.0015121159,0.0030452658,0.015536251],"category_scores_gemma":[0.002450594,0.0009193715,0.0011779307,0.0013918079,0.004667156,0.007852879,0.0059575518,0.0029908987,0.0021994861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000338883,0.000013722937,0.00010385943,0.000013393097,0.0000039642514,0.00006900514,0.00014357267,0.00018183536,0.0007405137,0.9970107,0.0005561538,0.0011294016],"study_design_scores_gemma":[0.000021169659,0.000014301763,0.00021245657,0.0000118951975,0.000005741395,0.00015144785,0.00013134471,0.0021420938,0.00063286064,0.99508816,0.0015695308,0.000018929455],"about_ca_topic_score_codex":0.0014154575,"about_ca_topic_score_gemma":0.0012245482,"teacher_disagreement_score":0.015536251,"about_ca_system_score_codex":0.0018794144,"about_ca_system_score_gemma":0.00066703436,"threshold_uncertainty_score":0.05197394},"labels":[],"label_agreement":null},{"id":"W2333676763","doi":"10.4153/cjm-2006-044-5","title":"Intégrales orbitales tordues sur <i>GL(n</i>, F) et corps locaux proches : applications","year":2006,"lang":"fr","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Canadian Historical Association","funders":"","keywords":"Mathematics; Humanities; Art","score_opus":0.022508404691786443,"score_gpt":0.261932436789483,"score_spread":0.23942403209769658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2333676763","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4638496,0.0044014463,0.33005145,0.002452455,0.0006028107,0.000073897645,0.00028187927,0.0006180259,0.19766842],"genre_scores_gemma":[0.897991,0.002570501,0.048581634,0.00021672405,0.0003831493,0.000048160782,0.00014726087,0.0001728895,0.04988872],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976414,0.00003625348,0.000010832621,0.000044409804,0.00010493576,0.00003942423],"domain_scores_gemma":[0.9996811,0.00011944377,0.00004219683,0.0000278866,0.000068375986,0.00006093015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005339332,0.00078064785,0.00044220118,0.0014332872,0.0010362314,0.0014073779,0.000690154,0.00045136095,0.0057280464],"category_scores_gemma":[0.0011318544,0.0002630612,0.0007046736,0.0006678817,0.0032104952,0.0020464046,0.0015861887,0.0023466384,0.00057020725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027648048,0.000014300975,0.0004823779,0.000072704504,0.000009731217,0.0002571255,0.00059194065,0.002083955,0.0027064448,0.98025346,0.0008501612,0.012650348],"study_design_scores_gemma":[0.000025163159,0.000112300586,0.0013545953,0.00007993877,0.000022340786,0.00094656454,0.0008363984,0.022038402,0.008528648,0.9383855,0.02762495,0.00004509762],"about_ca_topic_score_codex":0.0035663296,"about_ca_topic_score_gemma":0.0035168051,"teacher_disagreement_score":0.0057280464,"about_ca_system_score_codex":0.0017513735,"about_ca_system_score_gemma":0.0005851346,"threshold_uncertainty_score":0.019162178},"labels":[],"label_agreement":null},{"id":"W2334310968","doi":"10.5802/jtnb.276","title":"Capitulation and transfer kernels","year":2000,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","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 Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Humanities; Combinatorics; Philosophy","score_opus":0.016325062316889082,"score_gpt":0.28350563790671524,"score_spread":0.26718057558982616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2334310968","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12885895,0.00132276,0.5831827,0.0024527148,0.0008342778,0.00020354879,0.00066312694,0.00386125,0.2786207],"genre_scores_gemma":[0.87691027,0.0007695023,0.034455027,0.0008287858,0.0007063566,0.00023765929,0.0008751869,0.0013768215,0.08384038],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975926,0.0004975216,0.000112268484,0.0005930344,0.000608854,0.0005956499],"domain_scores_gemma":[0.9967989,0.0009878594,0.00031503697,0.0006868314,0.00078096834,0.00043050226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012793258,0.0010616295,0.0007632003,0.0023483469,0.0019554715,0.0049708015,0.0013271973,0.0015738223,0.02412419],"category_scores_gemma":[0.0072773215,0.00041143116,0.0017473259,0.0013083982,0.003513877,0.0074143824,0.0040543973,0.004050537,0.00736134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064262305,0.00004284901,0.0001838457,0.00005900393,0.000009234328,0.0001841577,0.00043186423,0.0012210566,0.0011497082,0.9769348,0.004030113,0.015689148],"study_design_scores_gemma":[0.00002103568,0.000084443855,0.00037520673,0.000048304493,0.000022783332,0.00039458252,0.00022792669,0.021429697,0.006232613,0.9429914,0.02812544,0.00004661476],"about_ca_topic_score_codex":0.0016764203,"about_ca_topic_score_gemma":0.00066837395,"teacher_disagreement_score":0.02412419,"about_ca_system_score_codex":0.0024677892,"about_ca_system_score_gemma":0.0008451585,"threshold_uncertainty_score":0.08070338},"labels":[],"label_agreement":null},{"id":"W2334841055","doi":"10.1515/crelle-2012-0120","title":"The Abel–Jacobi isomorphism for one-cycles on Kirwan's log resolution of the moduli space𝒮𝒰<sub> <i>C</i> </sub>(2,𝒪<sub> <i>C</i> </sub>)","year":2013,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","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":"Moduli space; Physics; Combinatorics; Isomorphism (crystallography); Crystallography; Mathematics; Crystal structure; Geometry; Chemistry","score_opus":0.02563990808049829,"score_gpt":0.2832813798254376,"score_spread":0.25764147174493934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2334841055","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7436968,0.0010821657,0.03184613,0.0027138086,0.00064839254,0.00007222537,0.00020768365,0.00043310205,0.21929963],"genre_scores_gemma":[0.9706835,0.00026195255,0.0029278307,0.00021941836,0.00017710844,0.00002721802,0.00011219508,0.00008911187,0.025501657],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995939,0.00006263739,0.000016243175,0.0000705527,0.00013468666,0.00012199902],"domain_scores_gemma":[0.99969196,0.000058448244,0.00003960294,0.00003430285,0.000059992573,0.00011584115],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004261258,0.00055080553,0.0004884562,0.0019901234,0.0020960215,0.0025217612,0.0005280763,0.0006877407,0.009747586],"category_scores_gemma":[0.00095987855,0.0002659517,0.0004441051,0.00082801445,0.0017019575,0.003621434,0.0017943333,0.0015915374,0.0011738223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040092327,0.000038611353,0.00023443159,0.0000241788,0.0000058046003,0.0002283929,0.00039475178,0.0003362503,0.0014379437,0.99002343,0.0014822291,0.0057539204],"study_design_scores_gemma":[0.000028203001,0.000043497013,0.00084688613,0.000022396152,0.000011109698,0.00038252812,0.0004280336,0.0041332054,0.0023246987,0.98166865,0.010077399,0.000033311502],"about_ca_topic_score_codex":0.0016444651,"about_ca_topic_score_gemma":0.0010154229,"teacher_disagreement_score":0.009747586,"about_ca_system_score_codex":0.0015665905,"about_ca_system_score_gemma":0.0006839308,"threshold_uncertainty_score":0.032608926},"labels":[],"label_agreement":null},{"id":"W2335118691","doi":"10.4153/cmb-2004-009-9","title":"Systems of Hermitian Quadratic Forms","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Tsinghua University","keywords":"Mathematics; Hermitian matrix; Positive-definite matrix; Quadratic equation; Moduli space; Pure mathematics; Moduli; Space (punctuation); Algebra over a field; Geometry; Eigenvalues and eigenvectors","score_opus":0.02075882654238339,"score_gpt":0.2634901055949728,"score_spread":0.24273127905258943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2335118691","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8333896,0.0002652472,0.10567612,0.0010976569,0.00035218685,0.00013981972,0.00013963888,0.00033639127,0.058603287],"genre_scores_gemma":[0.9886984,0.00003626038,0.0055876877,0.00008035094,0.00008418161,0.000020952939,0.000059616435,0.00002620184,0.005406275],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824643,0.0004511787,0.00014394718,0.00026747774,0.0005973523,0.00029356824],"domain_scores_gemma":[0.9975132,0.00052547076,0.0004527068,0.00026648463,0.00073959044,0.00050251343],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001664593,0.00039887737,0.00050674385,0.0012428884,0.0014049361,0.00235905,0.000499293,0.0008103753,0.011606549],"category_scores_gemma":[0.004248874,0.00032302816,0.00029572923,0.00050185353,0.0030346555,0.0031553977,0.0015989877,0.0010610336,0.00080334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001373319,0.000043464945,0.0018558258,0.00007461993,0.000015960259,0.0005066677,0.0004881331,0.0023435752,0.012920975,0.9745929,0.0014763558,0.005544093],"study_design_scores_gemma":[0.00011041076,0.00030630076,0.0033575227,0.00004921918,0.000019278035,0.000962039,0.00061134447,0.06272164,0.014097861,0.9098962,0.0077644936,0.00010377097],"about_ca_topic_score_codex":0.00034929253,"about_ca_topic_score_gemma":0.00026947403,"teacher_disagreement_score":0.011606549,"about_ca_system_score_codex":0.0005756365,"about_ca_system_score_gemma":0.0004196107,"threshold_uncertainty_score":0.038827777},"labels":[],"label_agreement":null},{"id":"W2336552503","doi":"10.48550/arxiv.1512.00247","title":"Homological dimension of simple pro-p-Iwahori--Hecke modules","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Dimension (graph theory); Simple (philosophy); Pure mathematics; Projective test; Simple module; Combinatorics; Algebra over a field; Discrete mathematics","score_opus":0.17420009244134685,"score_gpt":0.25295709659481525,"score_spread":0.0787570041534684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2336552503","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9791404,0.0002737028,0.00569404,0.0002800033,0.000017394996,0.00000826973,0.00014722288,0.000043805565,0.014395148],"genre_scores_gemma":[0.9967495,0.000117452044,0.0010358214,0.000024750978,0.00003917789,0.000007371311,0.00013544431,0.000007847708,0.0018825924],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966764,0.000050684695,0.00001752995,0.00009415946,0.00008384865,0.0000860972],"domain_scores_gemma":[0.9993185,0.00020267088,0.00015261881,0.00005332992,0.000066026965,0.00020699011],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044352276,0.0003944015,0.00039718545,0.0022647036,0.0007642603,0.0021419371,0.0006478355,0.0003428091,0.004748919],"category_scores_gemma":[0.0010754096,0.00025396745,0.0002805376,0.0009395266,0.0022389926,0.0029850747,0.0018436409,0.00063927216,0.00027631962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016987465,0.00005905734,0.0082313875,0.00009650629,0.000044426117,0.00041880083,0.0012285172,0.0018154313,0.00913306,0.9673843,0.00085200055,0.010566649],"study_design_scores_gemma":[0.00006777139,0.0001315819,0.019964635,0.00003485948,0.00005809329,0.001241132,0.0007501752,0.011545642,0.008839826,0.9521165,0.005198436,0.000051426636],"about_ca_topic_score_codex":0.00036985398,"about_ca_topic_score_gemma":0.00032687146,"teacher_disagreement_score":0.004748919,"about_ca_system_score_codex":0.0006750401,"about_ca_system_score_gemma":0.00021193022,"threshold_uncertainty_score":0.015886664},"labels":[],"label_agreement":null},{"id":"W2337861774","doi":"10.1016/j.aim.2017.12.021","title":"Superconnections, theta series, and period domains","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"University of Toronto","keywords":"Backslash; Mathematics; Cohomology; Quotient; Pure mathematics; Differential form; Series (stratigraphy); Hermitian matrix; Characteristic class; Combinatorics; Mathematical analysis","score_opus":0.023571120359796128,"score_gpt":0.32501957036380136,"score_spread":0.3014484500040052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2337861774","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5987633,0.011855393,0.07787574,0.009280049,0.0015137437,0.000037349302,0.0004937178,0.00029129794,0.29988942],"genre_scores_gemma":[0.95514363,0.00417206,0.0057184976,0.00042756152,0.0016176641,0.000032509146,0.0002246773,0.000081271275,0.032582182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963856,0.000106806336,0.000014522219,0.00008926659,0.00009011459,0.000060758994],"domain_scores_gemma":[0.99892706,0.00042777267,0.00019497216,0.0001419756,0.00012154812,0.00018660114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087225455,0.000605543,0.00051615667,0.0021626987,0.0013171007,0.0034713836,0.0005790684,0.0007965462,0.009756832],"category_scores_gemma":[0.0029818888,0.0002919089,0.0003863366,0.0019077965,0.0033574002,0.005051515,0.0019351377,0.0020252273,0.0007485642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014757516,0.000006510113,0.0001917783,0.000015422045,0.0000030694957,0.000018353978,0.000079858,0.00022437006,0.0001289372,0.9951958,0.0007482041,0.0033729621],"study_design_scores_gemma":[0.0000050664676,0.0000036725858,0.0001335792,0.00000546482,0.0000027523977,0.000041579413,0.000064512,0.0005441018,0.000054713564,0.9970818,0.002060031,0.00000268074],"about_ca_topic_score_codex":0.00060482434,"about_ca_topic_score_gemma":0.00057981285,"teacher_disagreement_score":0.009756832,"about_ca_system_score_codex":0.00095796643,"about_ca_system_score_gemma":0.00049506454,"threshold_uncertainty_score":0.03263986},"labels":[],"label_agreement":null},{"id":"W2338991900","doi":"10.1016/j.geomphys.2016.12.015","title":"Norm-square localization for Hamiltonian <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si14.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>L</mml:mi><mml:mi>G</mml:mi></mml:math>-spaces","year":2017,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Hamiltonian (control theory); Norm (philosophy); Combinatorics; Mathematical physics","score_opus":0.022884297233449778,"score_gpt":0.27958213618385563,"score_spread":0.2566978389504059,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2338991900","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13402013,0.001025203,0.6394481,0.004902963,0.000839339,0.000057071833,0.0009832671,0.0012419457,0.21748197],"genre_scores_gemma":[0.85507,0.0007274435,0.05570323,0.0012673332,0.0006906532,0.00011008566,0.001058253,0.0009418348,0.08443109],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992607,0.00021283368,0.000032285498,0.00017533539,0.00021117984,0.000107584165],"domain_scores_gemma":[0.99833703,0.00046905663,0.00017277143,0.00020713222,0.0005072125,0.00030671418],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009288675,0.0003396065,0.0002990379,0.00092537334,0.00084297406,0.0015649258,0.0007574452,0.0006904066,0.019068284],"category_scores_gemma":[0.0033224737,0.00019891572,0.00039022238,0.00044336086,0.0020250587,0.0041355016,0.0020291526,0.0013992857,0.0033267208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001974227,0.000008289122,0.0000765932,0.00003215265,0.0000028957427,0.000029573837,0.00012332907,0.00054467365,0.00074466626,0.98943603,0.004597677,0.004384417],"study_design_scores_gemma":[0.000007486279,0.000020362553,0.00017601972,0.000007812269,0.0000021401147,0.00007511463,0.00008644364,0.008647126,0.00073250086,0.9858176,0.004414806,0.000012667946],"about_ca_topic_score_codex":0.0012114033,"about_ca_topic_score_gemma":0.0013372864,"teacher_disagreement_score":0.019068284,"about_ca_system_score_codex":0.00086806284,"about_ca_system_score_gemma":0.0007074677,"threshold_uncertainty_score":0.063789725},"labels":[],"label_agreement":null},{"id":"W2344416970","doi":"10.1515/forum-2016-0117","title":"On the complete integrability of the periodic quantum Toda lattice","year":2017,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Toda lattice; Dynkin diagram; Flag (linear algebra); Quantum cohomology; Quantum; Integrable system; Affine transformation; Mathematics; Lattice (music); Pure mathematics; Lie algebra; Cohomology; Mathematical physics; Physics; Algebra over a field; Quantum mechanics; Equivariant cohomology","score_opus":0.07928399793728817,"score_gpt":0.33124888565930327,"score_spread":0.2519648877220151,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2344416970","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8959371,0.00044364086,0.043881934,0.0009712878,0.00016718426,0.000023533417,0.00011991134,0.00010307392,0.058352377],"genre_scores_gemma":[0.9930235,0.00012739464,0.0028031864,0.00008760392,0.00007351215,0.000013703322,0.000062586565,0.000023021063,0.003785509],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995859,0.00008073597,0.000016882525,0.00006852261,0.00015302378,0.00009484524],"domain_scores_gemma":[0.9993113,0.00019380375,0.00008440441,0.000105264815,0.00010889626,0.0001962089],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006764657,0.0003053428,0.0007424534,0.00082994974,0.001880099,0.0023420637,0.00070276315,0.0007414741,0.005239545],"category_scores_gemma":[0.0017255561,0.00027773052,0.0006518579,0.000376189,0.003492653,0.0024549959,0.0017589253,0.0014222682,0.00038640198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023675362,0.000020787578,0.00032487334,0.000019983861,0.0000061474107,0.00016153595,0.00012555826,0.001395495,0.0007359874,0.9959549,0.00033000132,0.0009010551],"study_design_scores_gemma":[0.000023489902,0.00002113028,0.00038777952,0.000019271476,0.0000062722443,0.00016964681,0.000117372925,0.022242324,0.00051688484,0.9755647,0.0009182235,0.000012802677],"about_ca_topic_score_codex":0.0014821988,"about_ca_topic_score_gemma":0.00096597074,"teacher_disagreement_score":0.005239545,"about_ca_system_score_codex":0.0009337194,"about_ca_system_score_gemma":0.0006230358,"threshold_uncertainty_score":0.017528057},"labels":[],"label_agreement":null},{"id":"W2345486366","doi":"10.5802/aif.3043","title":"A Classification of the Irreducible mod- <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math> Representations of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>U</mml:mi> <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:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>ℚ</mml:mi> <mml:msup> <mml:mi>p</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:msub> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>ℚ</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>","year":2016,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"National Science Foundation","keywords":"Mod; Mathematics; Prime (order theory); Isomorphism (crystallography); Unitary state; Irreducible representation; Combinatorics; Equivalence (formal languages); Pure mathematics","score_opus":0.02738918686205789,"score_gpt":0.26336401023323686,"score_spread":0.23597482337117898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2345486366","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09591551,0.0057647442,0.21544327,0.0055670766,0.0042673396,0.00052162807,0.0039775884,0.0025049911,0.66603786],"genre_scores_gemma":[0.51286566,0.0071836542,0.13471326,0.0028962402,0.0044052643,0.0006659996,0.012446852,0.0023455573,0.32247758],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99749964,0.00033572983,0.00022558801,0.0005057524,0.0007977473,0.00063551875],"domain_scores_gemma":[0.998137,0.0003735102,0.000251473,0.0003860833,0.00054762466,0.00030444513],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018104893,0.0021422857,0.001261118,0.00590495,0.0041846596,0.007047897,0.0017369186,0.0012349355,0.033721115],"category_scores_gemma":[0.003803262,0.0008824394,0.0019088881,0.004460986,0.0045090863,0.0058532283,0.0043129553,0.004357553,0.017920215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005713496,0.00006129546,0.0007342763,0.00011303566,0.000008305674,0.000102226404,0.00036842993,0.00023163926,0.00067634997,0.9216787,0.023829332,0.052139245],"study_design_scores_gemma":[0.000028737222,0.00008306118,0.0010707622,0.00012782657,0.00001542716,0.0005666663,0.0003097672,0.0018927963,0.0018219656,0.85363084,0.14040768,0.000044548317],"about_ca_topic_score_codex":0.0019833653,"about_ca_topic_score_gemma":0.0014964774,"teacher_disagreement_score":0.033721115,"about_ca_system_score_codex":0.0027095606,"about_ca_system_score_gemma":0.00231095,"threshold_uncertainty_score":0.11280841},"labels":[],"label_agreement":null},{"id":"W2353738682","doi":"","title":"The Uniqueness of Decomposition of Lie Triple Systems","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"L'Alliance Boviteq","funders":"","keywords":"Triple system; Mathematics; Pure mathematics; Uniqueness; Lie group; Simple (philosophy); Symmetric space; Simple Lie group; Decomposition; Lie algebra; Algebraic number; Space (punctuation); Algebra over a field; Mathematical analysis; Computer science","score_opus":0.017966515028862772,"score_gpt":0.34325119321402353,"score_spread":0.32528467818516077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2353738682","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53522944,0.0014534628,0.42427045,0.00092864624,0.00035712033,0.00007086818,0.00027454292,0.000156782,0.03725868],"genre_scores_gemma":[0.93500495,0.0006171844,0.050530642,0.00019292292,0.00016148471,0.00008592974,0.00037498458,0.000101686026,0.01293029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992219,0.00017330477,0.000055414515,0.00022980904,0.00018566326,0.00013390346],"domain_scores_gemma":[0.9991518,0.0001493551,0.00010533247,0.00010289547,0.00033534432,0.0001553028],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009657085,0.00032708622,0.0005589555,0.0011778157,0.0016223467,0.0021184476,0.00045451906,0.000867346,0.0035561502],"category_scores_gemma":[0.002431179,0.00034653547,0.0008058075,0.00046100386,0.0022748206,0.0032746363,0.0024973787,0.0014436143,0.00081152056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021522337,0.000007657788,0.0004499674,0.000038646624,0.0000097426255,0.00012578501,0.00036453758,0.0006276207,0.003326788,0.9885417,0.00052918796,0.00595692],"study_design_scores_gemma":[0.00001033614,0.00004097554,0.0005042835,0.00002708589,0.000010425456,0.00047562865,0.0005822802,0.007609536,0.0052493555,0.9800394,0.0054260846,0.00002462027],"about_ca_topic_score_codex":0.0005298432,"about_ca_topic_score_gemma":0.00031792984,"teacher_disagreement_score":0.0035561502,"about_ca_system_score_codex":0.00067146245,"about_ca_system_score_gemma":0.0006905503,"threshold_uncertainty_score":0.011896551},"labels":[],"label_agreement":null},{"id":"W2375798406","doi":"10.1007/s00229-016-0900-9","title":"On critical values of L-functions of potentially automorphic motives","year":2016,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","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 College London; Centre de Recherches Mathématiques","keywords":"Langlands–Shahidi method; Automorphic L-function; Mathematics; Number theory; Automorphic form; Unitary state; Algebraic geometry; Pure mathematics; Langlands program; Conjecture; Context (archaeology); Algebraic number; Artin L-function; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.04760769055941988,"score_gpt":0.3114094116432091,"score_spread":0.26380172108378924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2375798406","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.884192,0.0015451574,0.040301815,0.0019541136,0.00024688803,0.000045540648,0.00008756042,0.00023704863,0.071389906],"genre_scores_gemma":[0.9937448,0.00020231135,0.0017996973,0.00010883985,0.000119486926,0.000020954105,0.00003529737,0.000038733648,0.003929892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952495,0.00011461957,0.00001867457,0.00007944851,0.0000873667,0.00017499265],"domain_scores_gemma":[0.9979534,0.0008009604,0.0002800602,0.0001238649,0.00026489657,0.00057677424],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011196086,0.0009792495,0.0007721176,0.0032259661,0.002278488,0.0032431397,0.00090031023,0.0014415166,0.0063314717],"category_scores_gemma":[0.005968728,0.00043442112,0.00059683656,0.000785624,0.005631093,0.0048568756,0.0025151037,0.0021707108,0.0006133938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051778763,0.000026249887,0.00070303597,0.000055889155,0.000008579892,0.0003129901,0.00028766814,0.0011258777,0.0013537359,0.99360317,0.00053235877,0.0019387061],"study_design_scores_gemma":[0.000032816897,0.000029814682,0.00053636474,0.000038922073,0.0000073858337,0.00023289479,0.0002161353,0.0090081515,0.0012853836,0.98747706,0.0011154622,0.000019649928],"about_ca_topic_score_codex":0.00065041345,"about_ca_topic_score_gemma":0.0005217014,"teacher_disagreement_score":0.0063314717,"about_ca_system_score_codex":0.0019350603,"about_ca_system_score_gemma":0.00070700905,"threshold_uncertainty_score":0.021180868},"labels":[],"label_agreement":null},{"id":"W2402629944","doi":"","title":"Jacobi Forms and Hilbert-Siegel Modular Forms over Totally Real Fields and Self-Dual Codes over Polynomial Rings Z 2m [x] / .","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"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":"Mathematics; Dual (grammatical number); Modular design; Pure mathematics; Polynomial ring; Polynomial; Algebra over a field; Mathematical analysis; Computer science; Programming language; Linguistics","score_opus":0.009842763444804248,"score_gpt":0.2605091660791301,"score_spread":0.2506664026343259,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2402629944","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7951645,0.0027068998,0.040794764,0.0028318493,0.00036244417,0.000047736372,0.00038920555,0.0001570766,0.15754545],"genre_scores_gemma":[0.97550654,0.0005820842,0.0035786447,0.00012686495,0.00024192368,0.000013182566,0.000116286334,0.000026450094,0.019807996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995796,0.000103127306,0.000017725488,0.00006058201,0.00013541886,0.00010361786],"domain_scores_gemma":[0.9992873,0.00015021132,0.00020455252,0.00007690819,0.00010667741,0.00017434708],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077023264,0.0005875836,0.00038567604,0.0015693511,0.0010163031,0.0020101718,0.0005581955,0.00065879285,0.006055039],"category_scores_gemma":[0.0016168961,0.0003390329,0.00044209606,0.001048273,0.0026561676,0.0035921447,0.0015965102,0.0015692136,0.0008137499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003418644,0.000019939689,0.00030134676,0.000019901447,0.000005369899,0.00006415675,0.00019519133,0.0004913518,0.00047416007,0.9951893,0.0006240189,0.002580961],"study_design_scores_gemma":[0.000022556233,0.00002851734,0.0007385399,0.000014972993,0.000007716284,0.00023112411,0.00018448308,0.0029877883,0.00063178706,0.99212533,0.0030108255,0.00001646756],"about_ca_topic_score_codex":0.0008337537,"about_ca_topic_score_gemma":0.0008338089,"teacher_disagreement_score":0.006055039,"about_ca_system_score_codex":0.0010332129,"about_ca_system_score_gemma":0.00062274846,"threshold_uncertainty_score":0.020256102},"labels":[],"label_agreement":null},{"id":"W2402867239","doi":"","title":"On the number of subpermutations with fixed orbit size","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Geometry","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":"Mathematics; Orbit (dynamics); Aerospace engineering","score_opus":0.014555541477956744,"score_gpt":0.27332245888487944,"score_spread":0.2587669174069227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2402867239","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85565674,0.001569452,0.078893326,0.0065267887,0.0005283682,0.0001298603,0.0016682115,0.0014042204,0.053622987],"genre_scores_gemma":[0.97882724,0.0005484408,0.012295357,0.00037849942,0.00044091957,0.00014391818,0.00073615625,0.00042937626,0.0062001245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9944587,0.0014751368,0.00035014653,0.0012610999,0.0012675283,0.0011874146],"domain_scores_gemma":[0.9123072,0.06817048,0.004161344,0.008780577,0.002239911,0.004340535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0059091724,0.0010870431,0.0029383851,0.0038952073,0.0047165356,0.00683479,0.0059476877,0.004820245,0.018254342],"category_scores_gemma":[0.047295865,0.0014614809,0.0023828573,0.002651478,0.00823549,0.015799591,0.0045159943,0.0056890487,0.0011958076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021325606,0.00028228055,0.009676316,0.0006680068,0.00025686156,0.0005894866,0.0008020168,0.030906547,0.008323168,0.9068053,0.01018784,0.02936977],"study_design_scores_gemma":[0.00018049068,0.00012618882,0.0024986023,0.00011049358,0.00021873995,0.00082529156,0.0002657792,0.08409471,0.004621912,0.9051665,0.0017963783,0.000095020696],"about_ca_topic_score_codex":0.0007040919,"about_ca_topic_score_gemma":0.00097040215,"teacher_disagreement_score":0.018254342,"about_ca_system_score_codex":0.00254419,"about_ca_system_score_gemma":0.0023136167,"threshold_uncertainty_score":0.061066866},"labels":[],"label_agreement":null},{"id":"W2405116333","doi":"","title":"A standard proof of Andrews' conjecture for 4φ3-series","year":2015,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Geometry","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":"Mathematics; Conjecture; Series (stratigraphy); Calculus (dental); Discrete mathematics; Medicine","score_opus":0.03447560978599935,"score_gpt":0.3107166611970677,"score_spread":0.27624105141106836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2405116333","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06985767,0.002116373,0.26671028,0.03664918,0.0057391333,0.00024344,0.0021791211,0.002207605,0.6142972],"genre_scores_gemma":[0.76400447,0.0028602253,0.082391456,0.009705013,0.0036307354,0.00034990296,0.0017395609,0.0009942923,0.13432424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983026,0.00027159925,0.000102226884,0.00039758114,0.0006520336,0.00027399685],"domain_scores_gemma":[0.99772125,0.0007830138,0.00013941694,0.0005776402,0.0005589601,0.00021963989],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030328468,0.0018196929,0.001202043,0.0029877753,0.002933356,0.003314626,0.0018875378,0.0022879273,0.03899005],"category_scores_gemma":[0.0065308567,0.00078307156,0.0022618156,0.0024451343,0.007060525,0.01157445,0.0057549155,0.0062977127,0.0068963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032078322,0.000023442653,0.00016409064,0.00007254806,0.000010972857,0.00006179604,0.00021113886,0.00019923347,0.00052335026,0.9829655,0.009286532,0.0064493343],"study_design_scores_gemma":[0.000025746302,0.0000145031245,0.0002820241,0.000022957092,0.000014601521,0.000090226844,0.000053725445,0.0006526213,0.00051477,0.9759051,0.022407925,0.00001567417],"about_ca_topic_score_codex":0.0021620565,"about_ca_topic_score_gemma":0.0016988378,"teacher_disagreement_score":0.03899005,"about_ca_system_score_codex":0.0021572844,"about_ca_system_score_gemma":0.0013123658,"threshold_uncertainty_score":0.13043469},"labels":[],"label_agreement":null},{"id":"W2405774642","doi":"","title":"q-Analogues Of Two Families Of Terminating 2 F 1 (2)-Series Identities.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Geometry","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":"Normalization property; Mathematics; Series (stratigraphy); Combinatorics; Computer science; Programming language","score_opus":0.027209410294448122,"score_gpt":0.31355129448232566,"score_spread":0.28634188418787754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2405774642","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28562006,0.0013490809,0.18282886,0.0017156098,0.0027977475,0.00015426564,0.00050505233,0.0005045931,0.52452475],"genre_scores_gemma":[0.8722637,0.00049172895,0.034608148,0.0010099736,0.00064758817,0.0001341641,0.00037115702,0.00024633715,0.090227254],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992028,0.00017559076,0.000038816608,0.00014774413,0.00021442772,0.00022066127],"domain_scores_gemma":[0.99910164,0.00022660631,0.00013170128,0.00013156509,0.00021357462,0.00019495416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009278741,0.000542748,0.00059378,0.001552082,0.0021196513,0.0026317453,0.00094047823,0.0015330826,0.0133218635],"category_scores_gemma":[0.002966406,0.00038914746,0.0009107461,0.00092431245,0.0023267493,0.003095172,0.0018568176,0.0026698222,0.0021161493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044452627,0.000021687447,0.00012978436,0.000019312038,0.000003849159,0.0002752859,0.00024711958,0.00012328889,0.00088636554,0.9923602,0.0014954387,0.004393294],"study_design_scores_gemma":[0.00005491783,0.00004645816,0.0006246566,0.000037828475,0.000012580428,0.00096741045,0.00022024168,0.0020884373,0.0018112372,0.9706679,0.023438653,0.000029750752],"about_ca_topic_score_codex":0.00072953955,"about_ca_topic_score_gemma":0.0008731335,"teacher_disagreement_score":0.0133218635,"about_ca_system_score_codex":0.0011317995,"about_ca_system_score_gemma":0.000627374,"threshold_uncertainty_score":0.044566095},"labels":[],"label_agreement":null},{"id":"W2424257333","doi":"10.1093/imrn/rnw073","title":"Top Fourier Coefficients for Cuspidal Representations of Symplectic Groups:","year":2016,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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":"Mathematics; Symplectic geometry; Pure mathematics; Fourier series; Partition (number theory); Character (mathematics); Statement (logic); Conjecture; Fourier transform; Automorphic form; Symplectic group; Mathematical analysis; Combinatorics; Geometry","score_opus":0.1553708247040707,"score_gpt":0.485468622304751,"score_spread":0.3300977976006803,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2424257333","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81162494,0.0012445411,0.12149344,0.0014816979,0.00086577353,0.000036338628,0.00016981013,0.0002498412,0.06283368],"genre_scores_gemma":[0.9884356,0.00032578033,0.0062643937,0.00013471043,0.0002821056,0.000009631577,0.000076513345,0.000078166624,0.004393141],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948955,0.000049355825,0.000019549976,0.00008978447,0.0002081252,0.00014364015],"domain_scores_gemma":[0.9992367,0.00024548874,0.00010685294,0.00014146308,0.00011604087,0.00015351718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054998114,0.0004547841,0.00047353577,0.0019336481,0.0010531318,0.0023942045,0.0006264458,0.00085669453,0.004332921],"category_scores_gemma":[0.0025731141,0.00026529454,0.00047056866,0.0007012232,0.00209426,0.0043407576,0.002090186,0.001994168,0.00055287377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078279576,0.000028466615,0.0016937285,0.00008546873,0.000009420449,0.00031313323,0.00056597777,0.0011888535,0.0049051675,0.9763277,0.0014323712,0.013371453],"study_design_scores_gemma":[0.000029769455,0.000027288617,0.00137987,0.000051638624,0.000016477597,0.00061020686,0.00033014995,0.013610006,0.005012037,0.9728263,0.006075729,0.00003063338],"about_ca_topic_score_codex":0.00039979257,"about_ca_topic_score_gemma":0.0003636965,"teacher_disagreement_score":0.004332921,"about_ca_system_score_codex":0.000632258,"about_ca_system_score_gemma":0.00036578625,"threshold_uncertainty_score":0.014495075},"labels":[],"label_agreement":null},{"id":"W2473034752","doi":"10.1063/1.4966114","title":"Classification of finite dimensional uniserial representations of conformal Galilei algebras","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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 Regina","funders":"Dirección de Investigación, Universidad Austral de Chile; Fondo para la Investigación Científica y Tecnológica; Consejo Nacional de Investigaciones Científicas y Técnicas; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Dimension (graph theory); Lie algebra; Algebra over a field; Conformal map; Lie conformal algebra; Representation theory; Algebra representation","score_opus":0.05161186228997896,"score_gpt":0.3364103468267365,"score_spread":0.28479848453675755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2473034752","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98919827,0.0003001008,0.0049311947,0.00014113168,0.000029608633,0.000009358696,0.0000614854,0.000074849966,0.0052540475],"genre_scores_gemma":[0.9960898,0.00018173327,0.0016479332,0.000032976233,0.000050152874,0.000008795554,0.00015603582,0.000012553928,0.0018201077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996086,0.00005377338,0.000040312792,0.000065636865,0.00009688167,0.00013492443],"domain_scores_gemma":[0.9993124,0.00009984986,0.00017583426,0.00008343325,0.000083073275,0.00024540155],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005566428,0.00042949643,0.0005184717,0.0031280825,0.0012965519,0.0020500869,0.0006265527,0.0006355503,0.0018991043],"category_scores_gemma":[0.0011078211,0.00020488419,0.00039362494,0.0015222882,0.0016697152,0.0018003518,0.0011037919,0.00084882166,0.0002530087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025193032,0.00018953563,0.016506448,0.000114613795,0.000039254403,0.0005637498,0.0022310945,0.0032858956,0.02277772,0.9072719,0.0019475742,0.044820383],"study_design_scores_gemma":[0.000071417446,0.00020999865,0.020085849,0.00009470419,0.000050113067,0.0015266084,0.0012220935,0.027293064,0.009551536,0.9322316,0.007547241,0.00011571024],"about_ca_topic_score_codex":0.00040373584,"about_ca_topic_score_gemma":0.0003552899,"teacher_disagreement_score":0.0031280825,"about_ca_system_score_codex":0.0005902442,"about_ca_system_score_gemma":0.0003691382,"threshold_uncertainty_score":0.0063530803},"labels":[],"label_agreement":null},{"id":"W2476555568","doi":"10.4153/cmb-2017-046-0","title":"A Factorization Result for Classical and Similitude Groups","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Similitude; Automorphism; Factorization; Scalar (mathematics); Algebra over a field; Product (mathematics)","score_opus":0.048993862744578294,"score_gpt":0.3216317332430034,"score_spread":0.27263787049842514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2476555568","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5015384,0.002169381,0.29069704,0.0037860482,0.00057399384,0.00008597941,0.00028281892,0.00041774954,0.20044868],"genre_scores_gemma":[0.9675748,0.00033118183,0.016933223,0.00037093365,0.00026381365,0.00002294722,0.00017401483,0.000040931376,0.01428817],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992217,0.00012248041,0.000039402315,0.00025751968,0.00019856509,0.00016028786],"domain_scores_gemma":[0.9988599,0.0003138108,0.00013788957,0.00023030292,0.00024971957,0.0002083719],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096983643,0.0003806583,0.0004363294,0.0009014811,0.0017295947,0.0015155944,0.00044818892,0.00080371473,0.00907381],"category_scores_gemma":[0.002045913,0.00024101601,0.0007741444,0.0006546873,0.0031973547,0.0050130165,0.0022458013,0.0014537472,0.0012659867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034788423,0.0000137512225,0.0003701459,0.000023120685,0.0000043680693,0.000082520004,0.0004223989,0.0003161747,0.0011188119,0.9928133,0.00078392995,0.0040167407],"study_design_scores_gemma":[0.000015070521,0.000037463997,0.00033434955,0.000017191604,0.000010408477,0.00026249952,0.00021813964,0.0023961437,0.0011285939,0.9868832,0.008685134,0.000011875773],"about_ca_topic_score_codex":0.0011881238,"about_ca_topic_score_gemma":0.0007254826,"teacher_disagreement_score":0.00907381,"about_ca_system_score_codex":0.001139535,"about_ca_system_score_gemma":0.00040781175,"threshold_uncertainty_score":0.030354977},"labels":[],"label_agreement":null},{"id":"W2477537501","doi":"10.1090/cbms/101/04","title":"Heegner points on Shimura curves","year":2003,"lang":"en","type":"book-chapter","venue":"Regional conference series in mathematics","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Geology; Mathematics","score_opus":0.09598720459372365,"score_gpt":0.31365066487486987,"score_spread":0.21766346028114622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2477537501","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20141421,0.0039078323,0.039451804,0.0012572105,0.0012289032,0.000115058865,0.00024931194,0.0004095586,0.75196624],"genre_scores_gemma":[0.6298429,0.0043456336,0.015090724,0.00027026818,0.0012848945,0.00010283788,0.00030531117,0.0003402457,0.34841728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997627,0.000042905853,0.000011661725,0.000042298627,0.000081157734,0.00005929857],"domain_scores_gemma":[0.9997913,0.000052386928,0.000024057126,0.000048428836,0.00003661252,0.00004726707],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003831055,0.0015216426,0.0010183195,0.003787483,0.0022722613,0.0023772628,0.00091278896,0.0009324312,0.012878627],"category_scores_gemma":[0.00084223296,0.0006790319,0.0007300002,0.0033241273,0.0033871986,0.004813518,0.0018972803,0.0030748667,0.0032708955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003075152,0.00001953165,0.00008412198,0.000046375568,0.0000061203104,0.000080638274,0.000501291,0.0004920257,0.0007979578,0.9781486,0.0030072427,0.016785333],"study_design_scores_gemma":[0.00001687567,0.000047527872,0.00050841406,0.000029715022,0.000014903795,0.00019883196,0.00023491871,0.0007899224,0.00095239264,0.969382,0.02780708,0.000017460532],"about_ca_topic_score_codex":0.00086939277,"about_ca_topic_score_gemma":0.0010166473,"teacher_disagreement_score":0.012878627,"about_ca_system_score_codex":0.001540097,"about_ca_system_score_gemma":0.00055101665,"threshold_uncertainty_score":0.04308331},"labels":[],"label_agreement":null},{"id":"W2478738941","doi":"10.1017/cbo9781316286852.004","title":"Lie groups and homogeneous spaces","year":2016,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Algebra and Geometry","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":"Homogeneous; Computer science; Content (measure theory); World Wide Web; Mathematics; Mathematical analysis; Combinatorics","score_opus":0.026509317375772157,"score_gpt":0.22079351410721232,"score_spread":0.19428419673144015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2478738941","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015482913,0.061218735,0.007813611,0.0039741155,0.0011820183,0.000019589479,0.00021505285,0.00017731365,0.90991676],"genre_scores_gemma":[0.25327042,0.03866816,0.003128836,0.0010689001,0.0017310792,0.00003816371,0.00031821858,0.00013315224,0.70164305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999062,0.000026694117,0.0000024555882,0.000014024643,0.000033791574,0.000016849583],"domain_scores_gemma":[0.99993455,0.000016860893,0.0000067373344,0.0000104129285,0.000013269983,0.000018155084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019874565,0.00035177835,0.00021934247,0.00070716976,0.0005049714,0.0011525145,0.00021798398,0.00032412578,0.016752359],"category_scores_gemma":[0.00033181184,0.000102852704,0.00015297868,0.00087818137,0.0017972003,0.0014257685,0.0008246275,0.0005946516,0.0039429623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008506785,0.000007635461,0.00010089747,0.00009268856,0.0000037645882,0.0000526067,0.0006850606,0.00030248912,0.00057215407,0.9210973,0.05077045,0.026306331],"study_design_scores_gemma":[0.000003792609,0.00001809194,0.0005353606,0.000076505516,0.0000036488402,0.00010140023,0.00036901198,0.00026813135,0.00023252553,0.65224946,0.3461379,0.0000040887917],"about_ca_topic_score_codex":0.0014329848,"about_ca_topic_score_gemma":0.0018526386,"teacher_disagreement_score":0.016752359,"about_ca_system_score_codex":0.0008230151,"about_ca_system_score_gemma":0.0005250643,"threshold_uncertainty_score":0.056042254},"labels":[],"label_agreement":null},{"id":"W2481891504","doi":"10.1090/fim/020/46","title":"The Langlands-Tunnell theorem","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","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; University of Toronto","funders":"","keywords":"Mathematics; Langlands program; Langlands dual group; Pure mathematics","score_opus":0.019968725713541635,"score_gpt":0.27529197648763376,"score_spread":0.2553232507740921,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2481891504","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00823633,0.0101469485,0.024564752,0.004618557,0.0012266865,0.0000109420625,0.00018698786,0.00015580481,0.95085305],"genre_scores_gemma":[0.40916955,0.018894918,0.022499822,0.0027824766,0.0029368552,0.0001121076,0.0004320664,0.00035012333,0.5428222],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997981,0.0000608265,0.000009335895,0.000037137415,0.00007130591,0.00002337539],"domain_scores_gemma":[0.99978024,0.00008999114,0.000015088634,0.000038626942,0.000055661105,0.000020332422],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048157835,0.0004626675,0.0004305485,0.001075006,0.0010438389,0.0024313326,0.00032839106,0.0008257511,0.009054336],"category_scores_gemma":[0.0009133709,0.00022346964,0.00032421786,0.00079593546,0.002990718,0.0047147074,0.001022851,0.002655704,0.002759044],"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":[0.0000029228324,0.00000299012,0.000016650423,0.00001285112,0.0000011216639,0.0000101316355,0.00006480251,0.00004511333,0.00009220734,0.98840314,0.0057931254,0.0055549177],"study_design_scores_gemma":[0.0000027827923,0.0000028883196,0.00007651862,0.000017423432,0.0000017136686,0.000056165485,0.00003191158,0.00019588656,0.000106295076,0.9359644,0.06354031,0.0000037264379],"about_ca_topic_score_codex":0.0009010114,"about_ca_topic_score_gemma":0.00095485814,"teacher_disagreement_score":0.009054336,"about_ca_system_score_codex":0.001280212,"about_ca_system_score_gemma":0.00072899566,"threshold_uncertainty_score":0.03028977},"labels":[],"label_agreement":null},{"id":"W2490159810","doi":"10.1007/978-3-319-94833-1_2","title":"Graded Hecke Algebras for Disconnected Reductive Groups","year":2018,"lang":"en","type":"preprint","venue":"Simons symposia","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Mathematics; Pure mathematics; Langlands program; Representation theory; Hecke algebra; Reductive group; Bijection; Algebraic group; Langlands dual group; Irreducible representation; Unipotent; Algebra over a field; Discrete mathematics; Algebraic number; Automorphic form; Group theory; Conjecture; Mathematical analysis","score_opus":0.051094853426439865,"score_gpt":0.344010265513798,"score_spread":0.2929154120873581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2490159810","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55355436,0.0049173017,0.047703788,0.0122738145,0.0024612513,0.000084770036,0.0011852013,0.0011377477,0.37668175],"genre_scores_gemma":[0.9355223,0.0012887116,0.004990096,0.0003656205,0.0017331284,0.00004576901,0.00075831765,0.00013360629,0.05516238],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993291,0.00015759343,0.000030754894,0.000107436084,0.00024357646,0.0001315259],"domain_scores_gemma":[0.9994923,0.000086072985,0.000067233785,0.000051947405,0.00008234435,0.00022015884],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008557878,0.001351498,0.0006934604,0.0028952304,0.0020088607,0.0036541217,0.00080129097,0.0009648702,0.016052056],"category_scores_gemma":[0.0016235652,0.00031468747,0.00043544645,0.0018972876,0.0022026855,0.0038406495,0.0025398652,0.0016057404,0.0013895002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043204465,0.000024591282,0.0003039108,0.000037159818,0.000008049528,0.00006608503,0.00027578764,0.00042162262,0.0008158726,0.9905772,0.003279568,0.0041468735],"study_design_scores_gemma":[0.000029425728,0.000009802867,0.0004676539,0.000011216866,0.000009521002,0.00008044397,0.00013973993,0.001479086,0.0005143847,0.98830193,0.0089453785,0.000011352475],"about_ca_topic_score_codex":0.001014964,"about_ca_topic_score_gemma":0.0010467292,"teacher_disagreement_score":0.016052056,"about_ca_system_score_codex":0.0022755263,"about_ca_system_score_gemma":0.0010082859,"threshold_uncertainty_score":0.053699493},"labels":[],"label_agreement":null},{"id":"W2491018790","doi":"10.1090/fim/020/29","title":"Langlands functoriality conjecture","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","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; University of Toronto","funders":"","keywords":"Conjecture; Mathematics; Pure mathematics; Physics","score_opus":0.026359168129680685,"score_gpt":0.28829311494109844,"score_spread":0.26193394681141774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2491018790","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020211456,0.0026928037,0.016727708,0.009731167,0.0020912099,0.000016501912,0.00028436154,0.00028657785,0.9479583],"genre_scores_gemma":[0.44814074,0.004933337,0.012375059,0.0032403173,0.0033269774,0.000090181595,0.0007787463,0.00030425438,0.5268104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966323,0.0000693902,0.000018295199,0.00007059534,0.00012951563,0.000048883787],"domain_scores_gemma":[0.9996276,0.00013226653,0.000018889972,0.00007096266,0.00011174879,0.000038431455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007991803,0.0004513857,0.00048028308,0.0011535117,0.0014191828,0.0025975744,0.00047791286,0.0009143457,0.011493203],"category_scores_gemma":[0.0010795663,0.00025462086,0.0004741211,0.00081801234,0.0031994297,0.0065534366,0.0013441266,0.00325366,0.0037183792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006509603,0.000008839822,0.00002721577,0.000015052225,0.0000013029876,0.000017063774,0.00013311686,0.00005121835,0.00013627743,0.98544055,0.008455483,0.005707476],"study_design_scores_gemma":[0.000004493186,0.0000032600585,0.00011000825,0.000014648418,0.0000027364254,0.000046532474,0.000040510124,0.00015537444,0.00018501353,0.94408494,0.055347737,0.0000049259456],"about_ca_topic_score_codex":0.0009384235,"about_ca_topic_score_gemma":0.0011691933,"teacher_disagreement_score":0.011493203,"about_ca_system_score_codex":0.0017395788,"about_ca_system_score_gemma":0.00079519366,"threshold_uncertainty_score":0.03844863},"labels":[],"label_agreement":null},{"id":"W2491640350","doi":"10.1142/9789814719230_0001","title":"An overview of Serre's <i>p</i>-adic modular forms","year":2016,"lang":"en","type":"book-chapter","venue":"WORLD SCIENTIFIC eBooks","topic":"Advanced Algebra and Geometry","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":"Modular design; Mathematics; Linguistics; Computer science; Programming language; Philosophy","score_opus":0.09329755374200205,"score_gpt":0.33663445984816975,"score_spread":0.2433369061061677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2491640350","genre_codex":"other","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0034723566,0.11370271,0.034928665,0.0024164002,0.0027323987,0.00003724488,0.0002294395,0.00039064718,0.8420902],"genre_scores_gemma":[0.12445151,0.2561418,0.052922674,0.0027951372,0.009420953,0.00018175767,0.00085287157,0.0008451312,0.5523882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997298,0.00007273222,0.000019616202,0.000047349517,0.000101918304,0.000028512024],"domain_scores_gemma":[0.9998778,0.00004577358,0.0000112355,0.000017344772,0.000033464054,0.000014324108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063007046,0.0011005208,0.00062311237,0.0031120174,0.00090628845,0.0026385176,0.00080412923,0.00076329627,0.015606069],"category_scores_gemma":[0.0006165686,0.0004942248,0.00053824537,0.003431699,0.0017853779,0.0041083936,0.0010332607,0.0026697489,0.007917368],"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":[0.0000085535985,0.000012605522,0.000031622836,0.00026567574,0.0000042635693,0.000048167407,0.00023870522,0.00028682622,0.0005432062,0.88704866,0.03218098,0.07933075],"study_design_scores_gemma":[0.000004493212,0.000028056504,0.00014280481,0.00018900583,0.0000048213083,0.00045790806,0.000066174085,0.00044072073,0.00037991922,0.3375178,0.6607509,0.00001730609],"about_ca_topic_score_codex":0.00044058484,"about_ca_topic_score_gemma":0.0006263947,"teacher_disagreement_score":0.015606069,"about_ca_system_score_codex":0.0011332473,"about_ca_system_score_gemma":0.00068992516,"threshold_uncertainty_score":0.05220753},"labels":[],"label_agreement":null},{"id":"W2493389102","doi":"10.1090/fim/020/25","title":"Local Langlands correspondence","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","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":"Queen's University; University of Toronto","funders":"","keywords":"Langlands program; Geography; Mathematics; Pure mathematics","score_opus":0.023020988509807418,"score_gpt":0.2879470455341709,"score_spread":0.26492605702436345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2493389102","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.003948496,0.0030989677,0.006955711,0.0016883048,0.00074399874,0.000011618907,0.00017201783,0.00015850333,0.9832223],"genre_scores_gemma":[0.096315496,0.0045792083,0.0041581294,0.00056124333,0.0012445205,0.00005117406,0.0003831768,0.0002613517,0.89244574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997899,0.000048597587,0.000009283135,0.00003393493,0.00009384178,0.00002451511],"domain_scores_gemma":[0.9998814,0.000022517237,0.00000859382,0.000029086741,0.00003918004,0.000019152494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003203383,0.0005590306,0.00050868135,0.00159057,0.0013715168,0.002675775,0.00045268057,0.000511915,0.032960482],"category_scores_gemma":[0.0004790492,0.0002343339,0.00023252006,0.0013424571,0.0014078243,0.0037008564,0.0013629976,0.0019338719,0.009357473],"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":[0.000004305567,0.000007926024,0.000020826032,0.000021139656,0.0000017191753,0.000012719545,0.00012974939,0.000064114756,0.00018449672,0.96345556,0.023079246,0.013018209],"study_design_scores_gemma":[0.0000050794724,0.0000063138427,0.00016072078,0.000032062104,0.000004748372,0.00009038691,0.00009326998,0.00032828434,0.00026924393,0.6407156,0.35828823,0.000006069606],"about_ca_topic_score_codex":0.0010286449,"about_ca_topic_score_gemma":0.0015277824,"teacher_disagreement_score":0.032960482,"about_ca_system_score_codex":0.0018092041,"about_ca_system_score_gemma":0.000714949,"threshold_uncertainty_score":0.110263765},"labels":[],"label_agreement":null},{"id":"W2496185859","doi":"10.1090/cbms/101/05","title":"Rigid analytic modular forms","year":2003,"lang":"en","type":"book-chapter","venue":"Regional conference series in mathematics","topic":"Advanced Algebra and Geometry","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":"Modular design; Computer science; Mathematics; Programming language","score_opus":0.07453198290573085,"score_gpt":0.3020296882845307,"score_spread":0.22749770537879985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2496185859","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.017052079,0.0013393178,0.02331402,0.0013036052,0.00063677225,0.000027699958,0.000118622294,0.00023963413,0.95596826],"genre_scores_gemma":[0.27398464,0.0030735321,0.010957067,0.0005446662,0.001147461,0.000079651625,0.00035514022,0.0003612555,0.70949656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982136,0.000029358855,0.000006883125,0.000025492629,0.000096445554,0.000020448284],"domain_scores_gemma":[0.99983966,0.00002211607,0.000020425405,0.000056292272,0.000038722555,0.000022736653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031612633,0.00078972714,0.0004404226,0.0013021097,0.0011386762,0.0018842734,0.00054506515,0.00047232892,0.017784039],"category_scores_gemma":[0.00067368086,0.00027508158,0.00037907474,0.001058575,0.0018258239,0.0025430578,0.0013782148,0.0017724617,0.0048910026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027356623,0.0000038192015,0.0000122857755,0.000008687055,0.0000012351121,0.000009937176,0.00008991144,0.00008448807,0.00023161713,0.9883143,0.0049125557,0.0063285227],"study_design_scores_gemma":[0.000005519713,0.000009343997,0.00013781358,0.000015459602,0.0000048850907,0.00013161155,0.00007190854,0.00062584406,0.0004462827,0.88287556,0.115670316,0.000005384424],"about_ca_topic_score_codex":0.0003797578,"about_ca_topic_score_gemma":0.00043593426,"teacher_disagreement_score":0.017784039,"about_ca_system_score_codex":0.00094769435,"about_ca_system_score_gemma":0.00045714725,"threshold_uncertainty_score":0.059493482},"labels":[],"label_agreement":null},{"id":"W2501605261","doi":"10.1017/cbo9781316258231.011","title":"The commutant lifting theorem","year":2016,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Algebra and Geometry","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":"Centralizer and normalizer; Mathematics; Pure mathematics","score_opus":0.031359124049413545,"score_gpt":0.23531951482764452,"score_spread":0.20396039077823097,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2501605261","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0061953985,0.0053714206,0.07882983,0.0027641421,0.002152946,0.000033762462,0.00044829905,0.0003306171,0.9038735],"genre_scores_gemma":[0.29762122,0.015830245,0.049131718,0.0039963904,0.0041792714,0.00021356401,0.0013301108,0.0009378275,0.6267596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994991,0.00009830642,0.000026440954,0.000119374534,0.00018632131,0.000070462294],"domain_scores_gemma":[0.99968207,0.00010056026,0.0000151176155,0.00007592402,0.00009340988,0.000032894906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006809449,0.0005523504,0.0004989243,0.0009769733,0.0013238059,0.0018580059,0.00058162166,0.0005253211,0.033070657],"category_scores_gemma":[0.0011229962,0.00027425197,0.00076647056,0.00088220317,0.0019314609,0.0045007165,0.0020427764,0.0023316871,0.010356601],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007375371,0.0000062145355,0.000034582226,0.00007497409,0.000004152101,0.000046500467,0.00014575373,0.00006377938,0.00041606635,0.9587176,0.021823471,0.018659579],"study_design_scores_gemma":[0.00000545166,0.000011567147,0.00019633595,0.000038874314,0.000007694888,0.00021252496,0.000069462745,0.00033510785,0.0006329986,0.8462962,0.15218496,0.000008783882],"about_ca_topic_score_codex":0.0011887635,"about_ca_topic_score_gemma":0.0010679262,"teacher_disagreement_score":0.033070657,"about_ca_system_score_codex":0.000850637,"about_ca_system_score_gemma":0.0006791762,"threshold_uncertainty_score":0.11063236},"labels":[],"label_agreement":null},{"id":"W2503147944","doi":"10.1007/978-3-319-23443-4","title":"Representations of Reductive Groups","year":2015,"lang":"en","type":"book","venue":"Progress in mathematics","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"","keywords":"Computer science; Psychology","score_opus":0.058392360470272964,"score_gpt":0.3738068017628611,"score_spread":0.3154144412925881,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2503147944","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0041667074,0.026557643,0.010249796,0.00414962,0.00265914,0.000017860139,0.00020997426,0.00029327604,0.951696],"genre_scores_gemma":[0.10874724,0.024024833,0.0059495354,0.001364653,0.0042002075,0.000057457975,0.00057852577,0.00024993264,0.8548276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997843,0.000056408076,0.000006136574,0.000024784038,0.00010619824,0.000022214424],"domain_scores_gemma":[0.9998969,0.000026667458,0.00000836256,0.000021980532,0.000026536349,0.000019492698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002360782,0.0007823533,0.00040320912,0.0012737802,0.00081378064,0.002762141,0.0005587629,0.0005661284,0.016059536],"category_scores_gemma":[0.00059170666,0.00022754875,0.00024286786,0.0013537374,0.0017409596,0.002418714,0.0011687268,0.0019627765,0.00526054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000048278716,0.000008000989,0.000030246774,0.000037957136,0.0000028322972,0.000011172933,0.00019515875,0.00018656308,0.00024852133,0.9247071,0.051209945,0.023357697],"study_design_scores_gemma":[0.000003991389,0.0000040832992,0.00009164956,0.000035628473,0.0000022452227,0.00003946293,0.00007304836,0.0003085439,0.000094735566,0.6757726,0.3235706,0.0000033766814],"about_ca_topic_score_codex":0.0013113056,"about_ca_topic_score_gemma":0.0017711527,"teacher_disagreement_score":0.016059536,"about_ca_system_score_codex":0.0015913546,"about_ca_system_score_gemma":0.000927814,"threshold_uncertainty_score":0.053724527},"labels":[],"label_agreement":null},{"id":"W2504213535","doi":"10.1112/s0010437x18007327","title":"On two arithmetic theta lifts","year":2018,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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 Manitoba","funders":"","keywords":"Mathematics; Modular form; Holomorphic function; Arithmetic; Shimura variety; Lift (data mining); Pure mathematics; Theta function; Algebra over a field; Arithmetic circuit complexity; Eisenstein series; Conjecture; Arbitrary-precision arithmetic","score_opus":0.03731433280638929,"score_gpt":0.35511941428101707,"score_spread":0.31780508147462777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2504213535","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91542464,0.00017006729,0.040236734,0.0007368238,0.000159784,0.000029357387,0.000043237796,0.00020159679,0.04299774],"genre_scores_gemma":[0.984412,0.00009736754,0.0053526727,0.000107885564,0.00010437418,0.0000216248,0.000036038437,0.000058030633,0.009809931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951077,0.00007091728,0.00001555646,0.00008114618,0.0001555181,0.00016612207],"domain_scores_gemma":[0.9995969,0.00007718349,0.00005555259,0.000055946337,0.000067022884,0.00014746899],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057080184,0.00048146222,0.0005041927,0.0017064397,0.0017462972,0.0016094873,0.0005695978,0.0008754477,0.0046351533],"category_scores_gemma":[0.0018570297,0.00028372262,0.00074204383,0.00063670165,0.0030264405,0.0021921438,0.0023501453,0.0020224603,0.0006354146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032127482,0.000021363956,0.000547034,0.000011368797,0.0000033932463,0.00019973506,0.0004513567,0.0007099416,0.0021235296,0.9898984,0.00027161275,0.005730053],"study_design_scores_gemma":[0.000023685907,0.00006955039,0.0011858409,0.000024796922,0.000010435479,0.00041568954,0.00042418775,0.010465783,0.0025035709,0.97903675,0.0058134035,0.000026283877],"about_ca_topic_score_codex":0.0008900622,"about_ca_topic_score_gemma":0.00056657026,"teacher_disagreement_score":0.0046351533,"about_ca_system_score_codex":0.0013843278,"about_ca_system_score_gemma":0.0005194947,"threshold_uncertainty_score":0.015506148},"labels":[],"label_agreement":null},{"id":"W2505988387","doi":"10.1090/fim/028/06","title":"Fröhlich’s invariant, Clifford algebras and the equivariant Brauer-Wall group","year":2011,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","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; Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Equivariant map; Invariant (physics); Group (periodic table); Pure mathematics; Mathematics; Physics; Mathematical physics; Quantum mechanics","score_opus":0.03625284730687283,"score_gpt":0.2693678066603264,"score_spread":0.23311495935345355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2505988387","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05799123,0.016394006,0.03477405,0.0032477134,0.001219011,0.000037160546,0.00020048914,0.00020061001,0.8859358],"genre_scores_gemma":[0.5800964,0.008992096,0.011735647,0.0007379438,0.0014795504,0.00005553157,0.00029989667,0.00015357826,0.39644933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979097,0.000038318056,0.000009038901,0.000029459969,0.00009495557,0.000037276102],"domain_scores_gemma":[0.9999088,0.000024167253,0.000010479236,0.000019035931,0.00001927899,0.000018157285],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038411008,0.00067572977,0.0004360205,0.0012199635,0.001392876,0.0022311767,0.0005958709,0.0007437323,0.0057400404],"category_scores_gemma":[0.0006264643,0.00029047971,0.00033806305,0.0012659613,0.002837674,0.0029503917,0.0007496157,0.0021126582,0.0012920235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000026387352,0.000004683843,0.000015964868,0.00000862399,0.0000011913329,0.000009811078,0.000078093384,0.00010789567,0.00018631626,0.9940348,0.0019166431,0.0036332407],"study_design_scores_gemma":[0.0000026516238,0.000004463421,0.0001068069,0.000008032273,0.0000012374547,0.000039834962,0.00004194122,0.00032177282,0.00020755017,0.9738264,0.025434187,0.000005077248],"about_ca_topic_score_codex":0.0023265644,"about_ca_topic_score_gemma":0.002532714,"teacher_disagreement_score":0.0057400404,"about_ca_system_score_codex":0.001548556,"about_ca_system_score_gemma":0.0009414151,"threshold_uncertainty_score":0.019202352},"labels":[],"label_agreement":null},{"id":"W2518090620","doi":"10.1007/978-3-319-94833-1_4","title":"Twisted Endoscopy from a Sheaf-Theoretic Perspective","year":2018,"lang":"en","type":"preprint","venue":"Simons symposia","topic":"Advanced Algebra and Geometry","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":"Carleton University","funders":"","keywords":"Sheaf; Context (archaeology); Endoscopy; Perspective (graphical); Mathematics; Computer science; Pure mathematics; Algebra over a field; Artificial intelligence; Medicine; Surgery; History","score_opus":0.028701157052819816,"score_gpt":0.33803046119573255,"score_spread":0.3093293041429127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2518090620","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2435643,0.0048423023,0.19218722,0.021166004,0.002476305,0.00006142729,0.0009002693,0.0005471813,0.5342549],"genre_scores_gemma":[0.89944357,0.002346081,0.021996986,0.0012743457,0.0024225211,0.000052933065,0.0005448287,0.00028617255,0.07163261],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927634,0.00021742868,0.00003701439,0.00013387908,0.00020954329,0.00012581058],"domain_scores_gemma":[0.9995553,0.00009036103,0.00006088891,0.00007405627,0.00009181334,0.0001275608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008740991,0.0011294881,0.0006717949,0.0027512775,0.0021348363,0.004494647,0.0008893442,0.0018849478,0.0155472895],"category_scores_gemma":[0.0015681852,0.00041904606,0.0007015002,0.0013766604,0.0039395774,0.008110058,0.0036256502,0.0030646985,0.0011924267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000075276193,0.0000036625754,0.00004777972,0.000009707076,0.0000022824447,0.000031005162,0.00005911069,0.00012425803,0.0002530977,0.99777716,0.00070480804,0.0009795225],"study_design_scores_gemma":[0.000007395489,0.000008926832,0.00013925323,0.000009425899,0.000004101339,0.00012749368,0.000089318615,0.0010493263,0.0002105153,0.99326766,0.0050790347,0.000007596296],"about_ca_topic_score_codex":0.000752271,"about_ca_topic_score_gemma":0.0006238344,"teacher_disagreement_score":0.0155472895,"about_ca_system_score_codex":0.0018040721,"about_ca_system_score_gemma":0.00059445866,"threshold_uncertainty_score":0.052010834},"labels":[],"label_agreement":null},{"id":"W2520400044","doi":"10.1112/blms/bdw055","title":"The discriminant 10 Shimura curve and its associated Heun functions","year":2016,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Champlain Regional College","funders":"","keywords":"Mathematics; Discriminant; Abelian group; Pure mathematics; Quadrilateral; Group (periodic table); Modular form; Ring (chemistry); Algebra over a field; Differential (mechanical device); Arithmetic","score_opus":0.024510634383895565,"score_gpt":0.2680659297199199,"score_spread":0.24355529533602432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2520400044","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9439122,0.00019986811,0.007896366,0.0003020717,0.000052531705,0.000020996185,0.000044437904,0.00007129467,0.047500234],"genre_scores_gemma":[0.9898088,0.00010742252,0.002125271,0.000027872835,0.00004520917,0.000010905721,0.000053375195,0.000022277522,0.007798898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998264,0.000022029722,0.0000060961756,0.000035074514,0.000046674744,0.00006371527],"domain_scores_gemma":[0.9998373,0.000021606957,0.000036462454,0.000016482332,0.000017018907,0.00007104431],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022995904,0.00054127205,0.0003748192,0.001825531,0.0012316046,0.0013505046,0.00040770194,0.0006137055,0.0061549433],"category_scores_gemma":[0.0005800284,0.00022027995,0.00033260617,0.0005361877,0.0019106086,0.0014085438,0.0011367032,0.0011139017,0.0006215628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017807819,0.0000600242,0.0021645138,0.000044140957,0.000010901051,0.0008888417,0.00065863115,0.0030208905,0.009350891,0.9664454,0.0009306635,0.01624702],"study_design_scores_gemma":[0.00011040688,0.00019123137,0.010420561,0.00005399822,0.00003406356,0.0028078568,0.0011905824,0.033156145,0.01545831,0.9123058,0.024168627,0.00010248595],"about_ca_topic_score_codex":0.0008389274,"about_ca_topic_score_gemma":0.00044492292,"teacher_disagreement_score":0.0061549433,"about_ca_system_score_codex":0.0010775883,"about_ca_system_score_gemma":0.00033279142,"threshold_uncertainty_score":0.020590365},"labels":[],"label_agreement":null},{"id":"W2521563500","doi":"10.1007/s00009-017-0948-0","title":"A Laplace-Type Representation of the Generalized Spherical Functions Associated with the Root Systems of Type A","year":2017,"lang":"en","type":"preprint","venue":"Mediterranean Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Laurentian University","funders":"","keywords":"Type (biology); Laplace transform; Mathematics; Representation (politics); Trigonometry; Expression (computer science); Operator (biology); Trigonometric functions; Pure mathematics; Mathematical analysis; Root (linguistics); Computer science; Geometry","score_opus":0.09325782678734927,"score_gpt":0.33727854211085123,"score_spread":0.24402071532350195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2521563500","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40939113,0.0015876639,0.35552526,0.0036004637,0.0015714066,0.0001262161,0.00047481115,0.0008300675,0.2268929],"genre_scores_gemma":[0.9137563,0.00089707563,0.03562043,0.0009862337,0.0016609249,0.00008675733,0.00040916886,0.0004128951,0.046170253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993262,0.0001940752,0.00002964574,0.00010668737,0.00020158045,0.00014177655],"domain_scores_gemma":[0.99915254,0.00016340335,0.00014937542,0.00011443807,0.00020304306,0.00021712367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009888564,0.0012074123,0.0010145922,0.0025977956,0.0013337014,0.0040392056,0.0016195031,0.0023462991,0.011379972],"category_scores_gemma":[0.0022336738,0.00046424707,0.0011899343,0.0014318752,0.003104885,0.0033176818,0.0018665129,0.0029444473,0.0021260888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015886433,0.000010711107,0.00006757025,0.00001656964,0.0000039099104,0.00007512644,0.00011308983,0.00041863977,0.001217312,0.9947514,0.0006516475,0.0026582212],"study_design_scores_gemma":[0.000018249391,0.000029609006,0.00020392762,0.000012482446,0.000005801866,0.00025341808,0.00012026877,0.009515381,0.00044559198,0.9867525,0.0026194039,0.00002339885],"about_ca_topic_score_codex":0.00083499716,"about_ca_topic_score_gemma":0.0005286051,"teacher_disagreement_score":0.011379972,"about_ca_system_score_codex":0.001110176,"about_ca_system_score_gemma":0.00087850523,"threshold_uncertainty_score":0.038069844},"labels":[],"label_agreement":null},{"id":"W2527087187","doi":"10.1007/s00208-017-1563-x","title":"A classification of harmonic Maass forms","year":2017,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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":"European Research Council","keywords":"Mathematics; Pure mathematics; Automorphic form; Harmonic; Algebra over a field","score_opus":0.08091047894912264,"score_gpt":0.3492284304893868,"score_spread":0.26831795154026417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2527087187","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63114834,0.0027679105,0.092105664,0.0032986207,0.0011340323,0.00016267586,0.0009793331,0.0005682241,0.26783523],"genre_scores_gemma":[0.84961796,0.0016735168,0.016139612,0.0005020479,0.0010446805,0.00009853304,0.0013584268,0.00020515692,0.12935993],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995802,0.000054045828,0.000033617653,0.000079298174,0.00016024722,0.00009260963],"domain_scores_gemma":[0.9993149,0.00014511975,0.00009853316,0.00010342182,0.00016014832,0.00017794776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000509482,0.0006252814,0.00073514954,0.003488818,0.0019578254,0.0031431199,0.0009267932,0.0010540913,0.020095807],"category_scores_gemma":[0.0015504314,0.00037753533,0.00054862065,0.002319825,0.0021597792,0.0032378554,0.0019293341,0.0016292295,0.0027136419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025142692,0.000016955333,0.00063678087,0.000035150937,0.000005268547,0.00006335247,0.00029414095,0.00013676188,0.0009294493,0.9818553,0.0031288036,0.0128730275],"study_design_scores_gemma":[0.000020957588,0.00005627047,0.001824801,0.000038142683,0.000013981016,0.00056884246,0.00045215132,0.0028367953,0.00095138705,0.95450944,0.03870316,0.00002401773],"about_ca_topic_score_codex":0.0005017175,"about_ca_topic_score_gemma":0.00037696603,"teacher_disagreement_score":0.020095807,"about_ca_system_score_codex":0.0010199356,"about_ca_system_score_gemma":0.0005187965,"threshold_uncertainty_score":0.067227125},"labels":[],"label_agreement":null},{"id":"W2531399079","doi":"10.1016/j.aim.2018.01.025","title":"Twisted Hilbert modular surfaces, arithmetic intersections and the Jacquet–Langlands correspondence","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Mathematics; Arithmetic; Modular form; Shimura variety; Pure mathematics; Algebra over a field; Quadratic field; Riemann hypothesis; Quadratic equation; Geometry; Quadratic function","score_opus":0.021677473979638963,"score_gpt":0.31867967071342973,"score_spread":0.29700219673379075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2531399079","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.692209,0.004256429,0.08975974,0.009168266,0.0010146706,0.000046796384,0.00038253315,0.00036021203,0.20280242],"genre_scores_gemma":[0.96324223,0.00094020425,0.0074188835,0.00045133696,0.001003658,0.000028485982,0.00019959733,0.00010428627,0.026611209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920124,0.00022295625,0.000033307668,0.00013157996,0.00026566754,0.0001452975],"domain_scores_gemma":[0.9993174,0.00017787862,0.00013055126,0.00009323833,0.00011331666,0.0001676212],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010911433,0.0008675184,0.0008452998,0.0031988472,0.002365183,0.004007386,0.0010564286,0.0017119976,0.007967767],"category_scores_gemma":[0.0022774022,0.0004468343,0.00069257274,0.0016881259,0.0037626906,0.0067893183,0.0035390495,0.0030410355,0.0009789426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015299345,0.000008117249,0.00010146655,0.000010269819,0.0000028548516,0.000044382483,0.00009740212,0.00019812264,0.00029697345,0.997269,0.0004395264,0.0015166025],"study_design_scores_gemma":[0.000008802874,0.000007978221,0.00016537763,0.000005364826,0.000003223391,0.00009017428,0.000066928806,0.001396959,0.0001515518,0.9967288,0.0013682485,0.000006622957],"about_ca_topic_score_codex":0.00072502095,"about_ca_topic_score_gemma":0.00050451024,"teacher_disagreement_score":0.007967767,"about_ca_system_score_codex":0.0014233129,"about_ca_system_score_gemma":0.000585435,"threshold_uncertainty_score":0.02665484},"labels":[],"label_agreement":null},{"id":"W2540377333","doi":"10.1007/s00208-019-01865-w","title":"Triple product p-adic L-functions for balanced weights","year":2019,"lang":"en","type":"preprint","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Interpolation (computer graphics); Mathematics; Triple product; Birkhoff interpolation; Product (mathematics); Sign (mathematics); Branching (polymer chemistry); Pure mathematics; Linear interpolation; Polynomial interpolation; Mathematical analysis; Polynomial; Geometry; Motion (physics); Computer science","score_opus":0.06208678860604249,"score_gpt":0.3342535776705333,"score_spread":0.2721667890644908,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2540377333","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4451695,0.0025227072,0.29568535,0.003964724,0.0011640543,0.00010676452,0.0008137002,0.0004759339,0.2500972],"genre_scores_gemma":[0.8968482,0.0016437088,0.033283234,0.00072345644,0.000878488,0.00020233153,0.00042550176,0.0002645954,0.06573058],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931586,0.00019306064,0.000037844507,0.0001315608,0.00018467799,0.00013697102],"domain_scores_gemma":[0.9992632,0.00017159707,0.00013689682,0.000063533866,0.00017220725,0.00019255806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001119085,0.0015380556,0.0007499955,0.0052923174,0.0021413888,0.004820712,0.0009082595,0.0014200648,0.010159851],"category_scores_gemma":[0.0018936043,0.0005367131,0.000709134,0.002779636,0.002373227,0.00660659,0.002434551,0.0022889432,0.0023306755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016560592,0.000010704014,0.000080212376,0.000018342324,0.0000046363034,0.000037200403,0.000090954265,0.00014801866,0.00048416763,0.9953258,0.0006523447,0.0031309368],"study_design_scores_gemma":[0.000009727388,0.0000103644925,0.00009809719,0.000011773138,0.0000076824,0.00009083926,0.0000547513,0.0014991167,0.00041762512,0.9946115,0.0031792626,0.00000942764],"about_ca_topic_score_codex":0.0005763422,"about_ca_topic_score_gemma":0.00054729794,"teacher_disagreement_score":0.010159851,"about_ca_system_score_codex":0.0019033806,"about_ca_system_score_gemma":0.00058621366,"threshold_uncertainty_score":0.03398806},"labels":[],"label_agreement":null},{"id":"W2553824664","doi":"10.1007/978-981-10-2651-5_16","title":"Modular Forms of Higher Level","year":2016,"lang":"en","type":"book-chapter","venue":"HBA lecture notes in mathematics","topic":"Advanced Algebra and Geometry","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":"Congruence (geometry); Modular design; Congruence subgroup; Mathematics; Plane (geometry); Recall; Combinatorics; Computer science; Geometry; Psychology; Programming language; Cognitive psychology","score_opus":0.05237030633366467,"score_gpt":0.3017302945007477,"score_spread":0.249359988167083,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2553824664","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.103383645,0.003696951,0.089565925,0.0024497865,0.0017139183,0.00006940555,0.00029226512,0.00054230436,0.7982858],"genre_scores_gemma":[0.64072436,0.003505013,0.022643689,0.0008410214,0.0028774259,0.00012635086,0.00043201091,0.0006142309,0.32823592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999463,0.00012096361,0.000023931856,0.000078546655,0.00021603308,0.00009751806],"domain_scores_gemma":[0.99969864,0.00005405378,0.000040259984,0.000073287105,0.000069136164,0.000064672124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006196848,0.0011760477,0.0006759546,0.002500495,0.0012636026,0.0032867314,0.0008161472,0.00083129527,0.014137978],"category_scores_gemma":[0.0012210546,0.00047212144,0.00072379346,0.0015237958,0.0026866691,0.0037373034,0.0023919197,0.0025977485,0.0040450315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000051408647,0.000005664948,0.000026551392,0.000014225035,0.0000024634353,0.000015187768,0.00011391011,0.000089554145,0.0002981141,0.9928012,0.001672681,0.0049554133],"study_design_scores_gemma":[0.0000056889,0.000007647225,0.000104621664,0.0000137388415,0.000003873755,0.000091741545,0.00003664771,0.0006110763,0.0002841171,0.9799313,0.018902864,0.0000068089294],"about_ca_topic_score_codex":0.0003187991,"about_ca_topic_score_gemma":0.00037414485,"teacher_disagreement_score":0.014137978,"about_ca_system_score_codex":0.0012982534,"about_ca_system_score_gemma":0.0005199983,"threshold_uncertainty_score":0.047296286},"labels":[],"label_agreement":null},{"id":"W2556685655","doi":"10.1090/tran/7465","title":"The spherical Hecke algebra, partition functions, and motivic integration","year":2017,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Mathematics; Hecke algebra; Partition (number theory); Pure mathematics; Classical group; Reductive group; Lemma (botany); Inverse; Group (periodic table); Number theory; Partition function (quantum field theory); Representation theory; Algebra over a field; Combinatorics; Group theory; Lie group; Geometry","score_opus":0.030319814599350407,"score_gpt":0.3112924211355233,"score_spread":0.2809726065361729,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2556685655","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20344348,0.0028308032,0.36157286,0.004039428,0.000756,0.000088602625,0.0006021302,0.00080097467,0.42586556],"genre_scores_gemma":[0.9362498,0.0011819677,0.023529936,0.00063314516,0.0004405217,0.000067310626,0.00037141432,0.00027784985,0.037248064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995284,0.0000840633,0.000019968347,0.00007861692,0.00017903719,0.00010984624],"domain_scores_gemma":[0.999746,0.000059408016,0.000032250824,0.000042187137,0.00006853535,0.000051515093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005885858,0.000614248,0.00051585835,0.0011751105,0.0011137329,0.0015280837,0.0007313305,0.0006264527,0.00936687],"category_scores_gemma":[0.001060163,0.00023815992,0.00082717306,0.00075000053,0.0026946357,0.0028793062,0.0017578673,0.0018621775,0.0020360723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000320891,0.000003824725,0.000034798868,0.0000121428875,0.000001539803,0.00002113242,0.000068252535,0.0002160914,0.00029810518,0.99678254,0.0006019849,0.0019563644],"study_design_scores_gemma":[0.000008562594,0.000014781932,0.00025245655,0.000012758351,0.0000049529654,0.00014427403,0.00006616601,0.0031298979,0.0010261527,0.9846305,0.010695628,0.000013798421],"about_ca_topic_score_codex":0.0013216578,"about_ca_topic_score_gemma":0.0007179925,"teacher_disagreement_score":0.00936687,"about_ca_system_score_codex":0.0013595984,"about_ca_system_score_gemma":0.00090019614,"threshold_uncertainty_score":0.031335294},"labels":[],"label_agreement":null},{"id":"W2560125711","doi":"10.1142/s1793042117500865","title":"A variant of Heilbronn characters","year":2016,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Quotient; Mathematics; Conjecture; Formalism (music); Simple (philosophy); Elliptic curve; Pure mathematics; Arithmetic; Algebra over a field; Literature","score_opus":0.020189958918135378,"score_gpt":0.3288314882358674,"score_spread":0.30864152931773203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2560125711","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52357054,0.0008953451,0.19254708,0.0020072162,0.0010922562,0.00011145816,0.0002470396,0.0005032029,0.2790259],"genre_scores_gemma":[0.95329297,0.00026842853,0.014464632,0.00035744763,0.00036880322,0.000028242855,0.00008024851,0.0000911987,0.031048039],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955326,0.000088813955,0.000024226421,0.00008256657,0.00014728223,0.00010389208],"domain_scores_gemma":[0.99946874,0.00010573781,0.000073911,0.00010072268,0.00012501546,0.00012598226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005099173,0.0003907316,0.00030481027,0.00094563345,0.0010664617,0.0017231511,0.0005584285,0.0007179829,0.005073734],"category_scores_gemma":[0.0015051214,0.00015719206,0.0003579178,0.00038326657,0.0020731222,0.0032311834,0.0012003198,0.0010785973,0.0008984392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012276617,0.0000071261566,0.00014849105,0.0000081170565,0.0000016363281,0.00008759962,0.000108179345,0.0003497171,0.0012260108,0.994825,0.00035997815,0.0028658072],"study_design_scores_gemma":[0.000018104247,0.00003838339,0.0003622364,0.00001407507,0.0000051838383,0.00041343673,0.000108324246,0.009634847,0.0020850804,0.9765771,0.01072021,0.000022981798],"about_ca_topic_score_codex":0.00097194227,"about_ca_topic_score_gemma":0.00062772626,"teacher_disagreement_score":0.005073734,"about_ca_system_score_codex":0.00084503525,"about_ca_system_score_gemma":0.00045256794,"threshold_uncertainty_score":0.016973317},"labels":[],"label_agreement":null},{"id":"W2564608011","doi":"10.1093/imrn/rnw218","title":"Degenerate Whittaker functions for $\\Sp_n(\\R)$","year":2016,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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; Degenerate energy levels; Symplectic geometry; Pure mathematics; Differential operator; Operator (biology); Series (stratigraphy); Generalization; Exponential function; Automorphic form; Algebra over a field; Mathematical analysis","score_opus":0.29642084801710017,"score_gpt":0.49458603032984744,"score_spread":0.19816518231274727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2564608011","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7041497,0.0003527184,0.25995502,0.00042005233,0.00030816512,0.00005931672,0.00006844289,0.00032840398,0.03435826],"genre_scores_gemma":[0.94891137,0.00034805294,0.031137193,0.00018272155,0.00019003298,0.000041626,0.00009984491,0.00023159444,0.018857522],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996625,0.00006276116,0.000019040172,0.000076678785,0.00010597943,0.00007300905],"domain_scores_gemma":[0.9995659,0.00006531692,0.00008501573,0.000075095406,0.00006447443,0.00014425656],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070393825,0.0009448985,0.0005312615,0.0016446563,0.001277363,0.0015181401,0.0008265635,0.000793224,0.0044743107],"category_scores_gemma":[0.0012085589,0.00026227732,0.0007788812,0.00050269044,0.0024244033,0.0034893537,0.0012043873,0.0014098563,0.0010289557],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052631003,0.000035589408,0.0003948775,0.000046992805,0.0000068631625,0.00031666152,0.0004792862,0.0014279023,0.0087479465,0.9778586,0.00041354282,0.010219157],"study_design_scores_gemma":[0.000021355001,0.00014868757,0.0009571802,0.00003965597,0.000018089253,0.0012882301,0.00041370772,0.03383176,0.018224971,0.93679464,0.008198608,0.00006312114],"about_ca_topic_score_codex":0.00023616171,"about_ca_topic_score_gemma":0.00026919847,"teacher_disagreement_score":0.0044743107,"about_ca_system_score_codex":0.0006628642,"about_ca_system_score_gemma":0.00039488325,"threshold_uncertainty_score":0.014968038},"labels":[],"label_agreement":null},{"id":"W2576520705","doi":"","title":"Some Results On The Exterior Degree Of Extra-Special Groups.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"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":"Mathematics; Degree (music); Pure mathematics; Acoustics","score_opus":0.045591821442282535,"score_gpt":0.2827488907228221,"score_spread":0.2371570692805396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2576520705","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27945352,0.012113345,0.086419456,0.0071987547,0.0016386252,0.000051510066,0.00081734045,0.00032708602,0.6119803],"genre_scores_gemma":[0.93832946,0.005476153,0.010050007,0.0010135745,0.0017284739,0.00003503496,0.00061205256,0.00020498845,0.042550273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99933165,0.00015886122,0.000039497325,0.00013045651,0.00021893889,0.000120461475],"domain_scores_gemma":[0.99759394,0.00083297206,0.00028101698,0.00033961446,0.00032058088,0.0006317915],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014244526,0.0010347422,0.0008718532,0.004002918,0.001352769,0.002219469,0.0012925867,0.00074653537,0.014704809],"category_scores_gemma":[0.0037960368,0.00040020377,0.0007605619,0.0023033263,0.004131062,0.0067219865,0.0034380122,0.0032816664,0.0020519842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046053516,0.0000402909,0.00096441776,0.00013893833,0.000014953071,0.00015575589,0.00031393056,0.00079847086,0.0010699244,0.9848683,0.0025720675,0.009016782],"study_design_scores_gemma":[0.000010890515,0.000022870872,0.0012494483,0.00003518027,0.000019514793,0.0002763503,0.00013052308,0.0018449525,0.0007283059,0.98483616,0.0108329635,0.000012708986],"about_ca_topic_score_codex":0.0004771277,"about_ca_topic_score_gemma":0.00066676806,"teacher_disagreement_score":0.014704809,"about_ca_system_score_codex":0.00085357385,"about_ca_system_score_gemma":0.00037583485,"threshold_uncertainty_score":0.04919243},"labels":[],"label_agreement":null},{"id":"W2579122825","doi":"10.48550/arxiv.1701.01766","title":"An approach to nonsolvable base change and descent","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Base change; Descent (aeronautics); Mathematics; Automorphic form; Base (topology); Conjecture; TRACE (psycholinguistics); Pure mathematics; Group (periodic table); Icosahedral symmetry; Combinatorics; Geography; Mathematical analysis; Geometry; Physics; Linguistics","score_opus":0.28379769125618104,"score_gpt":0.25507855968531407,"score_spread":0.028719131570866974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2579122825","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26812539,0.0013064973,0.4526111,0.004881409,0.0015128002,0.00011829521,0.0002559159,0.0005789074,0.27060965],"genre_scores_gemma":[0.917742,0.00072258065,0.04373373,0.0010870391,0.0009466187,0.000076010074,0.00019115602,0.00022028481,0.035280548],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999445,0.000107898915,0.0000314087,0.00015114484,0.0001708951,0.00009356379],"domain_scores_gemma":[0.9993413,0.00019299303,0.00006486633,0.00018503581,0.000110700035,0.000105200525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007944968,0.0005841536,0.0004427622,0.0011305861,0.0019876796,0.0024606604,0.0017721115,0.0016821345,0.0084778005],"category_scores_gemma":[0.002429083,0.00026785157,0.00084188674,0.0006650628,0.0044709244,0.0055434625,0.0032108265,0.0038854582,0.0010726854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000615521,0.000012529139,0.000103553175,0.000012010344,0.0000011966036,0.000084008636,0.00016531866,0.00020666566,0.00048457066,0.9964066,0.00026261277,0.0022548097],"study_design_scores_gemma":[0.0000046302484,0.000016441756,0.000086349755,0.0000074251143,0.0000016410137,0.00013572162,0.00006792676,0.0015260407,0.0005728545,0.9943567,0.0032185595,0.0000056190224],"about_ca_topic_score_codex":0.0005129938,"about_ca_topic_score_gemma":0.00040893213,"teacher_disagreement_score":0.0084778005,"about_ca_system_score_codex":0.0009588914,"about_ca_system_score_gemma":0.00047412748,"threshold_uncertainty_score":0.028361082},"labels":[],"label_agreement":null},{"id":"W2592043017","doi":"10.1090/surv/210/07","title":"The split case in the dynamical Mordell-Lang conjecture","year":2016,"lang":"en","type":"book-chapter","venue":"Mathematical surveys and monographs","topic":"Advanced Algebra and Geometry","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; University of Waterloo","funders":"","keywords":"Conjecture; Pure mathematics; Mathematics","score_opus":0.032812125875957464,"score_gpt":0.2907298851621961,"score_spread":0.25791775928623867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2592043017","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2025682,0.01195739,0.070221916,0.030744726,0.003623595,0.000033511238,0.00045052197,0.00030967113,0.6800906],"genre_scores_gemma":[0.9180972,0.0035113862,0.0072888974,0.0026092764,0.0027394118,0.000056334702,0.00029893796,0.00015095616,0.06524756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996176,0.000099429024,0.000015522908,0.00008815453,0.00010636559,0.00007291663],"domain_scores_gemma":[0.9995235,0.00017283428,0.000051924955,0.00010205425,0.0000748744,0.00007484463],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009050019,0.0004436082,0.00058652385,0.00076614966,0.001896892,0.0029123542,0.0006883941,0.0015116674,0.007842246],"category_scores_gemma":[0.0021247235,0.00026487853,0.0005606474,0.00075604767,0.0048616906,0.0072286977,0.0023133778,0.00277667,0.0018424331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001066765,0.0000052049204,0.000055335353,0.000010240816,0.0000014716489,0.000024565714,0.00010587576,0.0001236823,0.00008245015,0.9953862,0.00205561,0.0021387767],"study_design_scores_gemma":[0.0000043384944,0.0000023671544,0.000041762523,0.000008176272,9.824771e-7,0.000021143052,0.000035670044,0.00040199986,0.000038747465,0.99561346,0.003828984,0.0000023442374],"about_ca_topic_score_codex":0.000936683,"about_ca_topic_score_gemma":0.0011751603,"teacher_disagreement_score":0.007842246,"about_ca_system_score_codex":0.0013896961,"about_ca_system_score_gemma":0.0007148437,"threshold_uncertainty_score":0.026234925},"labels":[],"label_agreement":null},{"id":"W2594126589","doi":"10.1090/surv/210/10","title":"Additional results towards the dynamical Mordell-Lang conjecture","year":2016,"lang":"en","type":"book-chapter","venue":"Mathematical surveys and monographs","topic":"Advanced Algebra and Geometry","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; University of Waterloo","funders":"","keywords":"Conjecture; Pure mathematics; Mathematics","score_opus":0.042713491018767764,"score_gpt":0.2755057507800522,"score_spread":0.23279225976128443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594126589","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038558275,0.0066292253,0.10413389,0.024673482,0.0072189,0.000067538596,0.0011783658,0.0006029186,0.81693745],"genre_scores_gemma":[0.6273959,0.013265501,0.047926053,0.009813153,0.018298293,0.00027980623,0.003915889,0.0010604115,0.27804494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989428,0.00023172547,0.000053348827,0.00027359035,0.00036719633,0.0001313238],"domain_scores_gemma":[0.997888,0.00084744743,0.00018850258,0.00041068907,0.00038715306,0.00027809184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014723515,0.001085677,0.0008185535,0.002209753,0.0019753643,0.0032828208,0.0013863101,0.0016952029,0.03728309],"category_scores_gemma":[0.005229541,0.00040987623,0.0012014466,0.0017134992,0.0036804022,0.012157766,0.0043315412,0.0042622583,0.008434266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002235898,0.000026316991,0.00012604044,0.00007432367,0.0000050100366,0.000057662946,0.00014954148,0.00032912288,0.00031391653,0.9799907,0.011364978,0.0075400453],"study_design_scores_gemma":[0.000009697031,0.0000072145904,0.00012955394,0.000028018138,0.0000051345082,0.000058644666,0.000037499813,0.0008463283,0.00015383105,0.9744484,0.024267595,0.000008121343],"about_ca_topic_score_codex":0.00085537403,"about_ca_topic_score_gemma":0.0009911078,"teacher_disagreement_score":0.03728309,"about_ca_system_score_codex":0.0015783176,"about_ca_system_score_gemma":0.00079692807,"threshold_uncertainty_score":0.12472439},"labels":[],"label_agreement":null},{"id":"W2594810881","doi":"10.3842/sigma.2017.046","title":"The Malgrange Form and Fredholm Determinants","year":2017,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"Scuola Normale Superiore","keywords":"Fredholm determinant; Mathematics; Fredholm theory; Ramanujan tau function; Pure mathematics; Fredholm integral equation; Integrable system; Factorization; Uniqueness; Section (typography); Operator (biology); Line bundle; Mathematical analysis; Integral equation; Computer science","score_opus":0.05125226790774586,"score_gpt":0.4275121632036966,"score_spread":0.3762598952959508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594810881","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6854387,0.0008523265,0.26298973,0.0017350769,0.0002220084,0.00003572852,0.0000831217,0.0001572013,0.048486013],"genre_scores_gemma":[0.9737317,0.00022816545,0.01547288,0.00012253076,0.00008454474,0.000020539786,0.000042079922,0.000045442783,0.010252065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997167,0.00007146703,0.000010458226,0.00006897245,0.00007183135,0.000060489914],"domain_scores_gemma":[0.9995677,0.00013609904,0.000072917865,0.000043568863,0.00006795777,0.00011174487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006947354,0.000461969,0.00040218493,0.000875014,0.00088431017,0.001749453,0.0005238818,0.0010362684,0.0029359118],"category_scores_gemma":[0.0017201983,0.00018863784,0.0004264216,0.00036532662,0.0025938042,0.0026184258,0.0012788561,0.0011280451,0.00045088408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000072191942,0.0000068691065,0.000106109066,0.000009594748,0.0000020194907,0.000059174898,0.00012234494,0.0009311019,0.00077742,0.996393,0.00019386962,0.0013913],"study_design_scores_gemma":[0.0000064330134,0.000015450065,0.00018439682,0.000008497507,0.0000024239107,0.00017186921,0.00011114419,0.016220648,0.00083805196,0.9807469,0.0016848301,0.000009308553],"about_ca_topic_score_codex":0.0006504333,"about_ca_topic_score_gemma":0.00042738346,"teacher_disagreement_score":0.0029359118,"about_ca_system_score_codex":0.00088851666,"about_ca_system_score_gemma":0.0005328818,"threshold_uncertainty_score":0.009821594},"labels":[],"label_agreement":null},{"id":"W2596932091","doi":"10.1016/j.aim.2018.07.031","title":"Parabolic sheaves with real weights as sheaves on the Kato–Nakayama space","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Pacific Institute for the Mathematical Sciences; Simon Fraser University","funders":"University of British Columbia; Simon Fraser University; Pacific Institute for the Mathematical Sciences","keywords":"Coherent sheaf; Space (punctuation); Pure mathematics; Mathematics; Algebra over a field; Linguistics; Philosophy","score_opus":0.024658174652316366,"score_gpt":0.3288198908146969,"score_spread":0.3041617161623806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2596932091","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8049429,0.0017033059,0.101196624,0.0022818916,0.00033468957,0.000046052635,0.00035017944,0.0002657691,0.08887852],"genre_scores_gemma":[0.9538129,0.0008428232,0.0065149073,0.00020482711,0.000366872,0.00003120548,0.00020161583,0.00010190631,0.037922833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930465,0.00013182606,0.00003296186,0.00012112209,0.00027729853,0.00013203204],"domain_scores_gemma":[0.9993631,0.00010841105,0.0001092485,0.000071316295,0.00010837879,0.00023953611],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073133537,0.0011142079,0.0005569171,0.002614476,0.0013231725,0.0035577135,0.00087137107,0.0011430935,0.005824144],"category_scores_gemma":[0.0016942725,0.0005837754,0.00066555705,0.0018116409,0.0032796862,0.005533803,0.0034972595,0.002108322,0.0011223209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042329622,0.000013907777,0.00029640613,0.000025095407,0.000011730973,0.00010293994,0.00053525966,0.0006218911,0.0023901886,0.99209994,0.00040864313,0.0034516524],"study_design_scores_gemma":[0.00001840863,0.000026653783,0.0005407902,0.000011284824,0.000012386651,0.00019464473,0.00023124821,0.0030008333,0.0006281978,0.9919606,0.0033572407,0.000017858327],"about_ca_topic_score_codex":0.001067411,"about_ca_topic_score_gemma":0.00072734413,"teacher_disagreement_score":0.005824144,"about_ca_system_score_codex":0.001229277,"about_ca_system_score_gemma":0.0006864337,"threshold_uncertainty_score":0.019483745},"labels":[],"label_agreement":null},{"id":"W2597209443","doi":"10.1007/s00229-017-0923-x","title":"On the cuspidal support of discrete series for p-adic quasisplit $$\\textit{Sp}(N)$$ and $$\\textit{SO}(N)$$","year":2017,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","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":"University of Calgary","funders":"National Science Foundation","keywords":"Mathematics; Number theory; Symplectic geometry; Series (stratigraphy); Pure mathematics; Unitary state; Classical group; Combinatorics; Connection (principal bundle); Group (periodic table); Symplectic group; Algebra over a field; Discrete mathematics; Lie group; Geometry; Quantum mechanics; Physics","score_opus":0.06546675310276551,"score_gpt":0.3309745527753138,"score_spread":0.2655077996725483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2597209443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8004242,0.0014527704,0.06942167,0.0049772626,0.001018226,0.000052583273,0.00034778286,0.00040570193,0.1218998],"genre_scores_gemma":[0.9736954,0.00056449306,0.006817981,0.0004781812,0.0009109065,0.000052817355,0.00031098814,0.00020203603,0.016967107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990909,0.00018456687,0.00004338683,0.00019938385,0.0002714567,0.00021041425],"domain_scores_gemma":[0.99570245,0.0016268288,0.0004958388,0.0003197278,0.00054815196,0.0013070778],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020738177,0.0013876859,0.0015552005,0.0040130517,0.004130179,0.0056213797,0.0021659713,0.0019224343,0.010715997],"category_scores_gemma":[0.008568359,0.0007474743,0.0012973864,0.001544619,0.006963176,0.006346435,0.003956341,0.0044653774,0.0011084087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011101891,0.000036135487,0.00033584633,0.000027688213,0.000008399153,0.00014018615,0.0002780102,0.00030284686,0.00061743706,0.99548054,0.00058988755,0.0020719583],"study_design_scores_gemma":[0.000055382607,0.000029540599,0.00065671076,0.000028633012,0.000011548324,0.00015470582,0.00014807675,0.00528676,0.00033748156,0.9921004,0.0011681712,0.00002245762],"about_ca_topic_score_codex":0.001964811,"about_ca_topic_score_gemma":0.0017008471,"teacher_disagreement_score":0.010715997,"about_ca_system_score_codex":0.0022993006,"about_ca_system_score_gemma":0.0010867702,"threshold_uncertainty_score":0.035848558},"labels":[],"label_agreement":null},{"id":"W2598103597","doi":"10.1016/j.jnt.2017.02.003","title":"Langlands reciprocity for certain Galois extensions","year":2017,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Mathematics; Langlands program; Galois group; Conjecture; Artin L-function; Langlands dual group; Pure mathematics; Fundamental theorem of Galois theory; Automorphic L-function; Reciprocity law; Galois module; Reciprocity (cultural anthropology); Automorphic form; Differential Galois theory; Order (exchange); Galois cohomology; Algebra over a field; Conductor","score_opus":0.07173008944981643,"score_gpt":0.40041267119797413,"score_spread":0.3286825817481577,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2598103597","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79906726,0.0009625339,0.07730254,0.0026002522,0.00035579014,0.00008674511,0.00046891725,0.0003021035,0.118853875],"genre_scores_gemma":[0.9752676,0.0004922247,0.0065019317,0.00033797667,0.00042120524,0.00007432055,0.0002935404,0.00011123551,0.016499938],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997922,0.0005312587,0.00012474689,0.00038049353,0.000554221,0.00048719405],"domain_scores_gemma":[0.99535733,0.002026869,0.0007058984,0.000470288,0.0004952636,0.0009443118],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003406311,0.0010719293,0.0015182825,0.0039712493,0.0040708375,0.00562331,0.0010853352,0.001639924,0.00954306],"category_scores_gemma":[0.0068198973,0.00083794026,0.0013790262,0.002165632,0.0068427343,0.01008902,0.00460231,0.004021286,0.0013885743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039458766,0.000016245309,0.00021776422,0.000013218961,0.0000062180834,0.00008977404,0.00027096362,0.00013380554,0.0002524339,0.9976889,0.00023848822,0.0010326743],"study_design_scores_gemma":[0.000029452427,0.000017811815,0.00020507109,0.000009569832,0.000012627601,0.00018628432,0.00010202,0.0007911743,0.00024107074,0.9970227,0.0013648245,0.000017416203],"about_ca_topic_score_codex":0.00057462347,"about_ca_topic_score_gemma":0.0006015518,"teacher_disagreement_score":0.00954306,"about_ca_system_score_codex":0.0016029647,"about_ca_system_score_gemma":0.0009843919,"threshold_uncertainty_score":0.031924725},"labels":[],"label_agreement":null},{"id":"W2599571866","doi":"10.1215/00127094-2018-0049","title":"Metaplectic covers of Kac–Moody groups and Whittaker functions","year":2019,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Algebra and Geometry","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 Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Integer (computer science); Group (periodic table); Invariant (physics); Bilinear form; Algebraic group; General linear group; Combinatorics; Algebraic number; Algebra over a field; Symmetric group; Mathematical analysis","score_opus":0.020225028520371502,"score_gpt":0.2831326999296328,"score_spread":0.2629076714092613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2599571866","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93381566,0.00043299,0.030681314,0.00035608822,0.0000793275,0.000018767152,0.00007284071,0.00007848306,0.034464527],"genre_scores_gemma":[0.99038893,0.00018646364,0.0033098832,0.000038621074,0.000096616655,0.000020109168,0.000055877405,0.000016883308,0.0058866558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978775,0.000030728665,0.000010459489,0.000041911393,0.00006244803,0.00006671807],"domain_scores_gemma":[0.9996556,0.00006222132,0.000071859926,0.00004526007,0.000040677485,0.00012441885],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037952725,0.000494574,0.00051336427,0.0014757027,0.0011882178,0.0015111442,0.00037168546,0.0005245996,0.003051732],"category_scores_gemma":[0.00067239156,0.00023657976,0.0005309942,0.0005474652,0.0019282529,0.0022932312,0.0017205243,0.001148769,0.0003343675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041955685,0.000019458319,0.0007476571,0.000026851354,0.000009129572,0.00033639357,0.00041160046,0.0010785618,0.0048798793,0.9885372,0.0003147772,0.003596566],"study_design_scores_gemma":[0.000033759217,0.00013047854,0.004020663,0.000036513353,0.000026944883,0.0010262879,0.0005830581,0.012300654,0.006875023,0.96766317,0.007275744,0.000027621189],"about_ca_topic_score_codex":0.0003916335,"about_ca_topic_score_gemma":0.00035876158,"teacher_disagreement_score":0.003051732,"about_ca_system_score_codex":0.00071068126,"about_ca_system_score_gemma":0.00024772863,"threshold_uncertainty_score":0.010209024},"labels":[],"label_agreement":null},{"id":"W2600835894","doi":"10.4153/cjm-2015-062-x","title":"<i>p</i>–adic Families of Cohomological Modular Forms for Indefinite Quaternion Algebras and the Jacquet–Langlands Correspondence","year":2015,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Mathematics; Quaternion; Pure mathematics; Algebra over a field; Quaternion algebra; Modular form; Modular design; Division algebra; Algebra representation; Geometry","score_opus":0.05681116376710912,"score_gpt":0.28830357124699707,"score_spread":0.23149240747988795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2600835894","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9155427,0.00030264654,0.0536625,0.0005027639,0.000059139387,0.000031362655,0.00010058509,0.0000772243,0.02972116],"genre_scores_gemma":[0.9925262,0.000086816195,0.0048089665,0.000039717113,0.000044079712,0.000019886633,0.00004418021,0.000010574753,0.0024195467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996278,0.00008534105,0.000021711481,0.0000752496,0.00011813985,0.000071772796],"domain_scores_gemma":[0.9990088,0.00026754753,0.00022357244,0.00009676445,0.00018651447,0.00021684165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010664648,0.00034827174,0.00030836335,0.0019868691,0.0016096828,0.0018950476,0.00050840096,0.00048202838,0.003984906],"category_scores_gemma":[0.0016971381,0.00030384236,0.00048542296,0.00064501486,0.002095878,0.0024976924,0.0011520068,0.00091103214,0.00033854102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000502582,0.00003305633,0.0021216192,0.00003309352,0.000012000446,0.000494984,0.0006267369,0.0011068652,0.005982154,0.9835474,0.0005730951,0.0054187058],"study_design_scores_gemma":[0.000039110553,0.00007260614,0.0034943484,0.000024041601,0.000014689245,0.0011664885,0.00043233883,0.011701771,0.0048964927,0.97328496,0.004840012,0.00003308196],"about_ca_topic_score_codex":0.00040476208,"about_ca_topic_score_gemma":0.00025894732,"teacher_disagreement_score":0.003984906,"about_ca_system_score_codex":0.00093439844,"about_ca_system_score_gemma":0.00029954637,"threshold_uncertainty_score":0.013330817},"labels":[],"label_agreement":null},{"id":"W2604832069","doi":"10.1007/s11856-018-1749-2","title":"Mollification and non-vanishing of automorphic L-functions On GL(3)","year":2018,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Automorphic form; Algebra over a field; Pure mathematics","score_opus":0.038200325813937584,"score_gpt":0.3196406426613106,"score_spread":0.28144031684737303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2604832069","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9483857,0.00040012042,0.0247776,0.0010954216,0.0003106065,0.00002649121,0.00008916856,0.00039679618,0.02451822],"genre_scores_gemma":[0.986219,0.0002206563,0.0032215915,0.00023977016,0.00033573373,0.000026802722,0.00015306381,0.00014553187,0.009437929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912614,0.00017227231,0.00004365636,0.00014154741,0.0001966408,0.0003197383],"domain_scores_gemma":[0.9975782,0.0005364505,0.00060759316,0.00020819844,0.00028840368,0.0007812041],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001065461,0.0020312867,0.0013333604,0.0049804,0.0028683858,0.003859765,0.0023868051,0.0023604431,0.007405264],"category_scores_gemma":[0.0046222396,0.0008274052,0.0012685203,0.0014858787,0.00500045,0.005497228,0.0043278327,0.0031081499,0.0011036467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037982353,0.0001530205,0.0020668753,0.000100013465,0.00003789908,0.0011303967,0.0009974114,0.0010991765,0.005147137,0.97619087,0.0013431675,0.011354191],"study_design_scores_gemma":[0.00009053279,0.00009060474,0.00196517,0.000041649113,0.000028633534,0.0007960446,0.0004534432,0.009842427,0.001973923,0.983375,0.0012748014,0.00006775467],"about_ca_topic_score_codex":0.00084972644,"about_ca_topic_score_gemma":0.0008597149,"teacher_disagreement_score":0.007405264,"about_ca_system_score_codex":0.0013582633,"about_ca_system_score_gemma":0.0007687426,"threshold_uncertainty_score":0.024773061},"labels":[],"label_agreement":null},{"id":"W2605405793","doi":"10.1017/s147474801500033x","title":"ON THE LOCAL LANGLANDS CORRESPONDENCE FOR SPLIT CLASSICAL GROUPS OVER LOCAL FUNCTION FIELDS","year":2015,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"","keywords":"Mathematics; Local field; Classical group; Pure mathematics; Function field; Representation theory; Field (mathematics); Lie group; Geometry","score_opus":0.053102053885688866,"score_gpt":0.30688078644217137,"score_spread":0.25377873255648253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605405793","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8227144,0.00073431217,0.08176491,0.0014915904,0.000082771316,0.00007331278,0.00016917422,0.00029290598,0.09267663],"genre_scores_gemma":[0.98282176,0.00034233497,0.0075873844,0.00021084382,0.00013509725,0.00004780261,0.000109487024,0.000045690278,0.008699564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994874,0.00010819109,0.00001985161,0.00011737392,0.00012300939,0.00014414855],"domain_scores_gemma":[0.99871266,0.0006304994,0.0001604888,0.000116340045,0.0001035348,0.00027649806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001223817,0.00065134524,0.0006556329,0.0021978845,0.0017166343,0.0023643845,0.0008289507,0.00096960826,0.007116518],"category_scores_gemma":[0.0031325403,0.0003608727,0.0007328392,0.00078296935,0.004133479,0.008366869,0.0039728507,0.0028882185,0.0008744989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000727159,0.00004047415,0.0007362591,0.000051799725,0.000007790969,0.00016875172,0.00094046374,0.00088784227,0.0030989996,0.9883273,0.00033852673,0.0053290534],"study_design_scores_gemma":[0.00003132529,0.00009411753,0.0011493634,0.000019759307,0.000019933415,0.00020251039,0.00047931078,0.0046306555,0.0028052966,0.98817855,0.00236919,0.000020036372],"about_ca_topic_score_codex":0.00063419284,"about_ca_topic_score_gemma":0.00039662432,"teacher_disagreement_score":0.007116518,"about_ca_system_score_codex":0.0013136443,"about_ca_system_score_gemma":0.0004091536,"threshold_uncertainty_score":0.023807168},"labels":[],"label_agreement":null},{"id":"W2607158039","doi":"10.1090/btran/25","title":"Uniform analysis on local fields and applications to orbital integrals","year":2018,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society Series B","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; University of Leeds; Eidgenössische Technische Hochschule Zürich; Agence Nationale de la Recherche; Deutsche Forschungsgemeinschaft","keywords":"Algorithm; Annotation; Computer science; Exponential function; Semantics (computer science); Mathematics; Artificial intelligence; Mathematical analysis","score_opus":0.015738345638705943,"score_gpt":0.30297776504691576,"score_spread":0.2872394194082098,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607158039","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41855636,0.0014470796,0.5358242,0.0019085947,0.00012218367,0.00004916848,0.00015800586,0.0004975112,0.04143693],"genre_scores_gemma":[0.97044384,0.00060914975,0.019752728,0.00015687452,0.00014644029,0.00006131284,0.00009293019,0.0001660717,0.008570541],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903405,0.00031219973,0.0000421292,0.00017200265,0.00024595446,0.00019371894],"domain_scores_gemma":[0.9954568,0.0024172047,0.00062528835,0.0004917523,0.00049882056,0.00051006174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033108064,0.000683833,0.0008131933,0.0030152977,0.0011836197,0.0019584582,0.0014740671,0.00079697854,0.0041505066],"category_scores_gemma":[0.013870925,0.00027161388,0.00089029415,0.0012401674,0.0036351543,0.005492365,0.0026992913,0.0023131885,0.0004728943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023013195,0.000013197973,0.0007182577,0.000034922043,0.000007931387,0.000067722234,0.00016405537,0.006056605,0.00077230437,0.98894906,0.0002983182,0.0028946463],"study_design_scores_gemma":[0.000011619193,0.000041822936,0.0007622052,0.000040271192,0.000017880155,0.00011588523,0.0002111501,0.14521603,0.0018783526,0.84976363,0.0019160458,0.000025113715],"about_ca_topic_score_codex":0.0018197291,"about_ca_topic_score_gemma":0.0009455551,"teacher_disagreement_score":0.0041505066,"about_ca_system_score_codex":0.0025627704,"about_ca_system_score_gemma":0.00068228925,"threshold_uncertainty_score":0.018594325},"labels":[],"label_agreement":null},{"id":"W2607166349","doi":"10.71781/9879","title":"Contribution à la conjecture d'Erdos-Farber-Lovász","year":2005,"lang":"fr","type":"dissertation","venue":"Open MIND","topic":"Advanced Algebra and Geometry","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":"Conjecture; Combinatorics; Mathematics","score_opus":0.022557010810563854,"score_gpt":0.3505288374388153,"score_spread":0.3279718266282514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607166349","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05198438,0.07508603,0.11821252,0.14279982,0.030770821,0.00011276739,0.0016415565,0.0007590067,0.57863307],"genre_scores_gemma":[0.6787345,0.046919644,0.050193906,0.01563994,0.034416165,0.00022582164,0.0016736832,0.000563211,0.17163308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99681574,0.0006718512,0.00012250159,0.0006540949,0.0012453975,0.00049042195],"domain_scores_gemma":[0.9943539,0.0023388038,0.00039988774,0.0008011003,0.0014772718,0.0006289683],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004162841,0.0012392269,0.00158952,0.0025987693,0.0033282626,0.004937034,0.0020316502,0.0024765145,0.017456496],"category_scores_gemma":[0.014475717,0.0005426466,0.0015618838,0.0029562537,0.005598639,0.009883103,0.005248547,0.0049603786,0.0031923966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054575343,0.000030590963,0.0005452943,0.00015837568,0.000030000401,0.000108274064,0.00022791617,0.0007502955,0.00025330915,0.947324,0.037843965,0.012673402],"study_design_scores_gemma":[0.000034351004,0.000018890556,0.0011391806,0.00012467447,0.000041950803,0.00022150551,0.00011461544,0.0018825366,0.00029586983,0.8777704,0.11832517,0.000030720268],"about_ca_topic_score_codex":0.017686151,"about_ca_topic_score_gemma":0.010970597,"teacher_disagreement_score":0.017686151,"about_ca_system_score_codex":0.0067900317,"about_ca_system_score_gemma":0.0037302312,"threshold_uncertainty_score":0.05839783},"labels":[],"label_agreement":null},{"id":"W2608238787","doi":"10.1090/crmm/014/06","title":"𝑝-adic Hilbert modular forms","year":2001,"lang":"en","type":"book-chapter","venue":"CRM monograph series","topic":"Advanced Algebra and Geometry","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":"Modular design; Mathematics; Computer science; Linguistics; Algebra over a field; Pure mathematics; Programming language; Philosophy","score_opus":0.02905250515579148,"score_gpt":0.2646717668361458,"score_spread":0.23561926168035432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608238787","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015953612,0.0038168556,0.023401303,0.0017577044,0.0010098086,0.000025560012,0.00013183437,0.00019546166,0.9537078],"genre_scores_gemma":[0.21364865,0.0059027886,0.009126929,0.00048502695,0.0013111436,0.00005203254,0.00020712153,0.00015687433,0.76910937],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984753,0.000024149875,0.0000055085716,0.000018331879,0.00008625842,0.000018137409],"domain_scores_gemma":[0.99990046,0.000017971643,0.00001012948,0.000020817812,0.000032141324,0.000018432127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026190575,0.0006722529,0.00038440383,0.0011461001,0.00083783135,0.0016158043,0.000505908,0.00040634448,0.011792498],"category_scores_gemma":[0.0003571977,0.00029897972,0.00020902515,0.0012606899,0.0015322434,0.0027362588,0.0008039936,0.0018092514,0.0034009314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025786205,0.0000055654396,0.0000127515,0.00001665795,0.0000011751395,0.000010019435,0.00008762319,0.00009706461,0.000270657,0.97982967,0.008838116,0.010828119],"study_design_scores_gemma":[0.000005409376,0.000009655909,0.00014161784,0.00001845695,0.0000036970202,0.00015083353,0.000057843143,0.00064318726,0.0005718747,0.8138901,0.18450072,0.0000065238637],"about_ca_topic_score_codex":0.00030814088,"about_ca_topic_score_gemma":0.00047455064,"teacher_disagreement_score":0.011792498,"about_ca_system_score_codex":0.0012555412,"about_ca_system_score_gemma":0.000529746,"threshold_uncertainty_score":0.03944987},"labels":[],"label_agreement":null},{"id":"W2608582390","doi":"10.1090/crmp/035/12","title":"Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti","year":2004,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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","funders":"","keywords":"Polytope; Isomorphism (crystallography); Dimension (graph theory); Nilpotent; Orbit (dynamics); Moment (physics); Mathematics; Simple (philosophy); Theme (computing); Pure mathematics; Combinatorics; Philosophy; Computer science; Physics; Epistemology; Engineering; Crystallography; Classical mechanics; World Wide Web; Chemistry","score_opus":0.026793330664437242,"score_gpt":0.25440469179859637,"score_spread":0.22761136113415914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608582390","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5258273,0.008228683,0.15061733,0.0032889582,0.0009426906,0.000059508384,0.000747596,0.0005140544,0.30977395],"genre_scores_gemma":[0.9571888,0.0019116169,0.010793706,0.00014893473,0.00079769484,0.000043489632,0.00021565518,0.00009822491,0.028801873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999741,0.000045651846,0.0000127699095,0.00006342969,0.000093173476,0.000043929675],"domain_scores_gemma":[0.9995196,0.00016816707,0.000078920835,0.00005190544,0.00006044645,0.000121107136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031904326,0.00035275324,0.0005364541,0.0022659537,0.0013458021,0.002869964,0.0004678549,0.000373307,0.0048800907],"category_scores_gemma":[0.001023272,0.00032604265,0.00040293267,0.0012849817,0.002744004,0.0049720067,0.001666327,0.0015348814,0.0005263514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008540298,0.000008276608,0.00008644113,0.000012700528,0.0000022885304,0.00002175177,0.000115835704,0.00023565466,0.00041541707,0.9953424,0.0010922046,0.0026585436],"study_design_scores_gemma":[0.0000038057744,0.000008040935,0.0003343582,0.0000074912887,0.0000029637056,0.000081563725,0.00008589136,0.0011449681,0.00037473792,0.99302787,0.004919394,0.000008971885],"about_ca_topic_score_codex":0.0006089285,"about_ca_topic_score_gemma":0.00064938096,"teacher_disagreement_score":0.0048800907,"about_ca_system_score_codex":0.0010841567,"about_ca_system_score_gemma":0.0003883894,"threshold_uncertainty_score":0.016325533},"labels":[],"label_agreement":null},{"id":"W2609143931","doi":"10.1090/amsip/040/04","title":"Geometry on higher dimensional Heisenberg groups","year":2008,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Algebra and Geometry","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":"Geometry; Heisenberg group; Physics; Mathematics; Pure mathematics","score_opus":0.10599923124332637,"score_gpt":0.35695299356036914,"score_spread":0.25095376231704275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609143931","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11264084,0.010477744,0.03069242,0.0048891096,0.0026602487,0.00004583083,0.00029719106,0.00030069624,0.8379959],"genre_scores_gemma":[0.6551297,0.0101482,0.010773891,0.0008225535,0.0043479977,0.00009370042,0.0003062342,0.00026672243,0.31811106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996803,0.00007521108,0.000012342913,0.00003861188,0.00014611773,0.00004738593],"domain_scores_gemma":[0.9997677,0.00006209568,0.000027449436,0.000048080936,0.00004169448,0.000053031614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039468793,0.0012381674,0.0009410044,0.0017967895,0.0018574656,0.002901564,0.0009618977,0.0009266024,0.00951762],"category_scores_gemma":[0.00050025695,0.00041105167,0.00044772838,0.0016909295,0.003838594,0.004885132,0.0016480208,0.0024714977,0.0022336491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004474899,0.000006381543,0.000018890729,0.000018953095,0.0000022841014,0.000025056313,0.00015984531,0.00026153584,0.00031407928,0.99439335,0.0020975652,0.0026976715],"study_design_scores_gemma":[0.000003935284,0.0000063751086,0.000105786916,0.00000858801,0.0000020605603,0.00006370432,0.00005101067,0.00038031844,0.00014670065,0.9845271,0.014699349,0.0000050387753],"about_ca_topic_score_codex":0.0009259299,"about_ca_topic_score_gemma":0.0009273647,"teacher_disagreement_score":0.00951762,"about_ca_system_score_codex":0.0018496459,"about_ca_system_score_gemma":0.00065680774,"threshold_uncertainty_score":0.03183955},"labels":[],"label_agreement":null},{"id":"W2609267997","doi":"10.1090/amsip/050/07","title":"Decomposition of Witten-Reshetikhin-Turaev invariant: Linking pairing and modular forms","year":2011,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Pairing; Invariant (physics); Modular design; Mathematics; Pure mathematics; Decomposition; Mathematical physics; Physics; Computer science; Biology; Quantum mechanics; Ecology","score_opus":0.09286212989737454,"score_gpt":0.35316571323261464,"score_spread":0.2603035833352401,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609267997","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2758636,0.010412636,0.20060785,0.003348619,0.0030591066,0.0002142169,0.0006875354,0.0008522426,0.5049542],"genre_scores_gemma":[0.8028586,0.005696693,0.047472823,0.00095978944,0.0029662028,0.00026084404,0.000836019,0.00074270007,0.13820636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995277,0.00009720801,0.000025733154,0.00012096429,0.00014762889,0.000080738355],"domain_scores_gemma":[0.99966764,0.00006516328,0.000057616246,0.00004332469,0.00007952307,0.00008678455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010085909,0.0020502058,0.001437984,0.005794247,0.0018349793,0.004497131,0.0017913687,0.0017707421,0.010688523],"category_scores_gemma":[0.0010243416,0.000854116,0.0011690106,0.0023337267,0.00404712,0.005720849,0.0015297141,0.0041849315,0.003370916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014533459,0.000021169606,0.0000424231,0.00003175338,0.000005376206,0.000039036026,0.00017205294,0.00031776144,0.0007510103,0.9926081,0.0012210305,0.0047757705],"study_design_scores_gemma":[0.000008550054,0.000022030503,0.00020771562,0.000020105292,0.0000082459,0.00011310106,0.00006923911,0.0025658915,0.0003969015,0.99148494,0.0050860983,0.000017190589],"about_ca_topic_score_codex":0.00064037164,"about_ca_topic_score_gemma":0.0007293181,"teacher_disagreement_score":0.010688523,"about_ca_system_score_codex":0.0016992746,"about_ca_system_score_gemma":0.0008808987,"threshold_uncertainty_score":0.035756648},"labels":[],"label_agreement":null},{"id":"W2609533872","doi":"10.1090/amsip/038/22","title":"Mirror symmetry and integral variations of Hodge structure underlying one-parameter families of Calabi-Yau threefolds","year":2006,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Algebra and Geometry","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 Alberta; Queen's University","funders":"","keywords":"Calabi–Yau manifold; Mirror symmetry; Symmetry (geometry); Mathematics; Pure mathematics; Physics; Geometry","score_opus":0.1161274776905613,"score_gpt":0.36965376471247174,"score_spread":0.25352628702191043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609533872","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87766534,0.0014284283,0.026200043,0.00079163996,0.0002807642,0.000043700024,0.00014413755,0.0001593985,0.09328653],"genre_scores_gemma":[0.984511,0.0006097936,0.0043174746,0.000071917355,0.0002026555,0.00002551673,0.00010699062,0.000061987004,0.0100925835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996643,0.00006785942,0.00001531433,0.000053957978,0.00012390345,0.00007461284],"domain_scores_gemma":[0.99963415,0.0000870943,0.000059843398,0.00005043031,0.00005295257,0.0001155294],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059418223,0.0006270171,0.0007872232,0.0025607296,0.0018701311,0.0026467547,0.0008971654,0.0008547585,0.0028943098],"category_scores_gemma":[0.001185885,0.00046847676,0.0007108116,0.0011150456,0.003321605,0.0025699255,0.0014307295,0.0018124888,0.0002432282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024513893,0.000014763952,0.00021713394,0.000017024138,0.000006318346,0.00013064421,0.0003555111,0.0007619146,0.0015423851,0.9939545,0.00036629563,0.0026088436],"study_design_scores_gemma":[0.000014907279,0.000028324032,0.0011780383,0.000012008852,0.000008964706,0.000358859,0.00024360196,0.00406262,0.00053061364,0.99187356,0.0016712319,0.000017156259],"about_ca_topic_score_codex":0.0009737005,"about_ca_topic_score_gemma":0.00076137553,"teacher_disagreement_score":0.0028943098,"about_ca_system_score_codex":0.0014690876,"about_ca_system_score_gemma":0.00042341446,"threshold_uncertainty_score":0.010659039},"labels":[],"label_agreement":null},{"id":"W2609551801","doi":"10.1090/amsip/038/16","title":"Some results on families of Calabi-Yau varieties","year":2006,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Algebra and Geometry","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; Queen's University","funders":"","keywords":"Calabi–Yau manifold; Mathematics; Sociology; Art; Psychology; Pure mathematics","score_opus":0.07330801042800378,"score_gpt":0.34905811040200774,"score_spread":0.27575009997400396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609551801","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.058805447,0.05947378,0.060083937,0.006798618,0.0022783831,0.00006957628,0.00095984834,0.00029035413,0.81124],"genre_scores_gemma":[0.60693324,0.08874957,0.053582687,0.0036764308,0.0066259718,0.00048416023,0.0034319158,0.0005557774,0.23596029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928194,0.00015364072,0.000046946563,0.00015078692,0.00028050845,0.00008622089],"domain_scores_gemma":[0.99874383,0.00072919566,0.00006158945,0.000116713076,0.00022072403,0.00012798561],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012962538,0.0010696953,0.0011271976,0.0043048905,0.0046289274,0.0033112469,0.0010946763,0.0011061629,0.013032832],"category_scores_gemma":[0.0029109602,0.0007423759,0.0014754955,0.0055147684,0.0031971023,0.006023719,0.0019737526,0.0036052368,0.0016462872],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020430154,0.000023365903,0.00018542772,0.00017184083,0.000015155162,0.00010805151,0.00034337846,0.00055175996,0.0003404695,0.97010404,0.011392712,0.016743409],"study_design_scores_gemma":[0.000009829878,0.000011694284,0.0007109086,0.00010280529,0.000019951125,0.0003152115,0.00018315735,0.00085621123,0.00028184569,0.9419597,0.0555338,0.000014887429],"about_ca_topic_score_codex":0.002176488,"about_ca_topic_score_gemma":0.0018733026,"teacher_disagreement_score":0.013032832,"about_ca_system_score_codex":0.00330021,"about_ca_system_score_gemma":0.0007537984,"threshold_uncertainty_score":0.04359913},"labels":[],"label_agreement":null},{"id":"W2611156633","doi":"10.1016/j.laa.2018.04.009","title":"Hermitian and skew hermitian forms over local rings","year":2018,"lang":"en","type":"preprint","venue":"Linear Algebra and its Applications","topic":"Advanced Algebra and Geometry","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 Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hermitian matrix; Skew; Mathematics; Pure mathematics; Physics; Algebra over a field; Astronomy","score_opus":0.023790831602135305,"score_gpt":0.3180969003153632,"score_spread":0.2943060687132279,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2611156633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53691214,0.02692885,0.21732636,0.015576912,0.00339702,0.000072777606,0.001081347,0.00046455563,0.19824006],"genre_scores_gemma":[0.93530196,0.0057725846,0.012667783,0.00066133565,0.0037052224,0.00005017628,0.0002630594,0.000110808294,0.041467063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988288,0.00045031577,0.000065730426,0.00025181437,0.00028245072,0.00012092883],"domain_scores_gemma":[0.9982303,0.0006078935,0.00034283954,0.00017683448,0.00029044377,0.00035166828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017264091,0.0015105185,0.00113956,0.0035158878,0.0016066257,0.004077588,0.0009780639,0.0015844927,0.008701207],"category_scores_gemma":[0.0042679547,0.00069707975,0.0005536729,0.0035128284,0.004365034,0.007896294,0.0031482424,0.0027839919,0.0010364174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020226002,0.000017965032,0.0001844461,0.00003651794,0.0000062331933,0.000040269726,0.00020059639,0.00047895862,0.00023016107,0.9934155,0.0012713429,0.004097725],"study_design_scores_gemma":[0.000008081672,0.000009830709,0.00018569808,0.000010180505,0.000006280623,0.00008529034,0.00008952564,0.0021309697,0.00013377717,0.99384815,0.0034817779,0.000010500345],"about_ca_topic_score_codex":0.0006162731,"about_ca_topic_score_gemma":0.0005694002,"teacher_disagreement_score":0.008701207,"about_ca_system_score_codex":0.0012325229,"about_ca_system_score_gemma":0.00077664223,"threshold_uncertainty_score":0.029108405},"labels":[],"label_agreement":null},{"id":"W2611759212","doi":"10.1090/memo/1353","title":"Arthur packets for $p$-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Canada Research Chairs; University of Toronto; University of Lethbridge; University of Calgary","funders":"","keywords":"Network packet; Mathematics; Computer science; Computer network","score_opus":0.09988113207820794,"score_gpt":0.23286871942110293,"score_spread":0.132987587342895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2611759212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5967215,0.002113757,0.23086606,0.0021018148,0.000285511,0.00014154754,0.00018368289,0.00036313973,0.16722298],"genre_scores_gemma":[0.95935524,0.00074401754,0.020100601,0.00016411825,0.0001695745,0.00007612377,0.000099226374,0.00008595774,0.019205207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995952,0.000083776795,0.000018720495,0.00006758363,0.00015872122,0.00007605301],"domain_scores_gemma":[0.99969685,0.00008200584,0.00004864045,0.000047630747,0.000048283746,0.00007664026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043503445,0.00061070523,0.00028346552,0.0023725147,0.001297827,0.003111791,0.0005475925,0.00063655083,0.004135845],"category_scores_gemma":[0.0011966063,0.00023120623,0.00049864926,0.0009101319,0.0038016343,0.004022765,0.0023669784,0.001638587,0.00052462186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052845135,0.0000050681183,0.00023648869,0.000009910978,0.0000012821495,0.000058439116,0.00033003857,0.00020350257,0.00039056712,0.99567044,0.00019803288,0.0028910185],"study_design_scores_gemma":[0.000007212328,0.000027566297,0.00057997747,0.000016530057,0.0000066015978,0.0003241313,0.0005041751,0.0034437557,0.0011582774,0.9789493,0.0149707105,0.000011803825],"about_ca_topic_score_codex":0.00055077096,"about_ca_topic_score_gemma":0.00032408096,"teacher_disagreement_score":0.004135845,"about_ca_system_score_codex":0.0008134727,"about_ca_system_score_gemma":0.000316404,"threshold_uncertainty_score":0.013835788},"labels":[],"label_agreement":null},{"id":"W2615321870","doi":"10.1016/j.aim.2017.04.005","title":"On Iwahori–Whittaker functions for metaplectic groups","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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 Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Pure mathematics; Weyl group; Algebra over a field; Context (archaeology); Identity (music); Action (physics)","score_opus":0.048027401011647444,"score_gpt":0.375899779273315,"score_spread":0.3278723782616676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2615321870","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48149633,0.0047401055,0.2740443,0.0058966423,0.0020318346,0.000120432676,0.00042625485,0.00056076446,0.23068331],"genre_scores_gemma":[0.8976539,0.003037275,0.037560817,0.0013395763,0.0019184044,0.00016591603,0.00052665186,0.0004460924,0.05735125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898964,0.00028240835,0.000067126566,0.00019281403,0.00024458897,0.00022340618],"domain_scores_gemma":[0.9984389,0.0004963447,0.00024299376,0.00019516682,0.000225993,0.00040057243],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002639695,0.0029367902,0.0015793736,0.0061870674,0.003583587,0.004285914,0.0021148953,0.0027015847,0.0129472455],"category_scores_gemma":[0.0043752603,0.00090339466,0.00169924,0.0035751944,0.006890542,0.010740436,0.0046308585,0.0048196847,0.0020652264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002142319,0.0000130711405,0.00009817913,0.000023238623,0.0000059287227,0.000054267308,0.00025915226,0.00024383602,0.00041790146,0.9954348,0.00049768336,0.0029305606],"study_design_scores_gemma":[0.000010142396,0.000014723938,0.00015751088,0.000013894447,0.000006906541,0.000057340596,0.00009252648,0.0013893726,0.0002009412,0.99661046,0.0014318078,0.000014306482],"about_ca_topic_score_codex":0.0012616706,"about_ca_topic_score_gemma":0.0011624963,"teacher_disagreement_score":0.0129472455,"about_ca_system_score_codex":0.0022623301,"about_ca_system_score_gemma":0.0008610833,"threshold_uncertainty_score":0.043312788},"labels":[],"label_agreement":null},{"id":"W2615817502","doi":"10.4171/owr/2011/31","title":"Algebraische Zahlentheorie","year":2011,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Advanced Algebra and Geometry","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":"Mathematics; Automorphic form; Number theory; Algebra over a field; Pure mathematics","score_opus":0.10995144906021509,"score_gpt":0.304217578869499,"score_spread":0.19426612980928393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2615817502","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08174876,0.026413213,0.29443386,0.025828365,0.0066227135,0.00018138543,0.004898371,0.0018618356,0.5580114],"genre_scores_gemma":[0.67295706,0.026482677,0.11881082,0.0037406469,0.002845053,0.00040953662,0.005026826,0.00059384195,0.16913354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878937,0.00035100663,0.00009777853,0.00023512288,0.00033962345,0.00018718049],"domain_scores_gemma":[0.9994363,0.00018358688,0.000028556167,0.000107975386,0.00017558894,0.00006784136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001798715,0.0006042298,0.00071219826,0.0020423275,0.0015505014,0.005436083,0.0005339732,0.0007911993,0.014241303],"category_scores_gemma":[0.0016011891,0.0004870839,0.0008856383,0.0023321828,0.0023229956,0.0067518232,0.0025402931,0.0058944374,0.005130527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019382771,0.000013674756,0.00020259272,0.00011096075,0.000016828018,0.000054160322,0.00033137327,0.0004487187,0.0013594282,0.9621399,0.014004899,0.021298137],"study_design_scores_gemma":[0.00001776409,0.000027932023,0.0008476661,0.00005051926,0.000017003184,0.00027823247,0.00020086905,0.0015782039,0.0019150351,0.8698134,0.12522224,0.000031226642],"about_ca_topic_score_codex":0.0007243973,"about_ca_topic_score_gemma":0.0008408649,"teacher_disagreement_score":0.014241303,"about_ca_system_score_codex":0.0026892985,"about_ca_system_score_gemma":0.00084966334,"threshold_uncertainty_score":0.047641933},"labels":[],"label_agreement":null},{"id":"W2617870294","doi":"10.5802/pmb.27","title":"Lifting of Modular Forms","year":2019,"lang":"lv","type":"preprint","venue":"Publications mathématiques de Besançon","topic":"Advanced Algebra and Geometry","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 Alberta","keywords":"Mathematics; Multiplier (economics); Modular design; Scalar (mathematics); Section (typography); Modular group; Combinatorics; Pure mathematics; Image (mathematics); Algebra over a field; Geometry; Computer science; Artificial intelligence","score_opus":0.03196592165654873,"score_gpt":0.3201893302574003,"score_spread":0.2882234086008516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2617870294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40867317,0.0006629318,0.37699217,0.0014971162,0.0010913872,0.00019664923,0.0004352917,0.0011304372,0.20932084],"genre_scores_gemma":[0.8827997,0.00060445885,0.05710136,0.00042565202,0.0006082145,0.00012487044,0.00047025623,0.00037891412,0.057486683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916995,0.00015163145,0.00004441127,0.00015994515,0.0002680711,0.0002059544],"domain_scores_gemma":[0.9994875,0.00007701902,0.00005366109,0.00012537371,0.00011999557,0.00013646502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087898504,0.0007419438,0.00045132503,0.0015740127,0.0010767838,0.0017361911,0.00062509347,0.0006522531,0.009875691],"category_scores_gemma":[0.0019725102,0.00041357387,0.0010725806,0.0005756206,0.0018255615,0.002856181,0.0030002769,0.0019756933,0.0025193766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026830774,0.000024632667,0.00017586682,0.00003819278,0.0000054022416,0.000114435556,0.0003215429,0.0003490778,0.0038526463,0.9749141,0.0014527171,0.018724568],"study_design_scores_gemma":[0.000023017412,0.00010984617,0.0005266978,0.000036411147,0.000011879509,0.00045070052,0.00024404816,0.0046226177,0.007329576,0.96392995,0.022679923,0.00003536636],"about_ca_topic_score_codex":0.00034268052,"about_ca_topic_score_gemma":0.00022850209,"teacher_disagreement_score":0.009875691,"about_ca_system_score_codex":0.0009389387,"about_ca_system_score_gemma":0.00052637496,"threshold_uncertainty_score":0.033037484},"labels":[],"label_agreement":null},{"id":"W2618379648","doi":"10.4153/cmb-2017-034-7","title":"Elliptic Zeta Functions and Equivariant Functions","year":2017,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"","keywords":"Equivariant map; Mathematics; Parameterized complexity; Modular form; Meromorphic function; Pure mathematics; Modular design; Connection (principal bundle); Riemann zeta function; Set (abstract data type); Elliptic curve; Modular group; Algebra over a field; Combinatorics; Computer science; Geometry; Programming language","score_opus":0.05077374287934011,"score_gpt":0.29751684391053007,"score_spread":0.24674310103118996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2618379648","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8490285,0.0007608682,0.07053341,0.0012339108,0.00015398818,0.000030209878,0.00024404642,0.00014771394,0.077867396],"genre_scores_gemma":[0.99004936,0.00031100397,0.002383225,0.00012746583,0.00019473437,0.0000218597,0.00014551794,0.00004773186,0.0067190407],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989297,0.0001901331,0.000059998016,0.00025074414,0.00036980896,0.00019950571],"domain_scores_gemma":[0.9986099,0.00028890165,0.00027328878,0.00019501102,0.00028132435,0.0003515636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001021059,0.0008313393,0.00082464557,0.0035037966,0.0014839267,0.0039145243,0.0009933165,0.0007873905,0.0037524926],"category_scores_gemma":[0.0025660135,0.0002956407,0.00063501025,0.0013005455,0.0046139257,0.004744511,0.0033466602,0.002665912,0.000529944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020846941,0.000014474724,0.00067070767,0.000014053165,0.0000057303014,0.00008352872,0.00024908595,0.0006239662,0.0010453541,0.9945768,0.00021755042,0.002477759],"study_design_scores_gemma":[0.000009294182,0.000014429748,0.00076986884,0.000018579549,0.000008388365,0.00015679823,0.00023482148,0.0035204163,0.0010970269,0.99126714,0.0028853705,0.000017823],"about_ca_topic_score_codex":0.0008058924,"about_ca_topic_score_gemma":0.00030537107,"teacher_disagreement_score":0.0039145243,"about_ca_system_score_codex":0.0013868238,"about_ca_system_score_gemma":0.00047253948,"threshold_uncertainty_score":0.012553334},"labels":[],"label_agreement":null},{"id":"W2619585904","doi":"10.14288/1.0343589","title":"Two special cases of the Dynamical Mordell-Lang Conjecture in positive characteristic","year":2017,"lang":"en","type":"article","venue":"cIRcle (University of British Columbia)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Conjecture; Mathematics; Combinatorics; Pure mathematics; Discrete mathematics","score_opus":0.012818532714697788,"score_gpt":0.23132490529624627,"score_spread":0.21850637258154848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2619585904","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74023557,0.0010263673,0.123243466,0.0073641352,0.00085610384,0.00010300691,0.0005486254,0.0004353641,0.12618732],"genre_scores_gemma":[0.98644036,0.0002677763,0.0069745155,0.00039897373,0.00040558682,0.00006314529,0.00022345675,0.000033949003,0.0051921424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985108,0.0002505245,0.00008285557,0.00033300038,0.00040562527,0.00041713982],"domain_scores_gemma":[0.9966928,0.0014211452,0.0006584282,0.00048440695,0.00030521865,0.0004379504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015629192,0.0004011352,0.000794702,0.0013684976,0.0022509187,0.002838459,0.0010432514,0.0015507385,0.005111767],"category_scores_gemma":[0.007817128,0.0004169744,0.0010248247,0.0011816534,0.0051727197,0.005970553,0.0043975357,0.0019506327,0.00045113516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007319733,0.000021784612,0.0017426935,0.000035976987,0.000007009551,0.00048668252,0.00029579035,0.0012061136,0.0005355044,0.9905839,0.0019342025,0.003077278],"study_design_scores_gemma":[0.000057168665,0.00002556809,0.00077425287,0.000020901289,0.000011099447,0.0005806077,0.00020665655,0.009303067,0.0009751799,0.98168004,0.006343357,0.000022320035],"about_ca_topic_score_codex":0.000618393,"about_ca_topic_score_gemma":0.00061448157,"teacher_disagreement_score":0.005111767,"about_ca_system_score_codex":0.0014787749,"about_ca_system_score_gemma":0.0004544768,"threshold_uncertainty_score":0.017100513},"labels":[],"label_agreement":null},{"id":"W2626745001","doi":"10.1090/ert/536","title":"A quantum Mirković-Vybornov isomorphism","year":2020,"lang":"en","type":"preprint","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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; Perimeter Institute; University of Waterloo","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Division of Mathematical Sciences; National Science Foundation; Government of Canada; Alfred P. Sloan Foundation; University of Sydney; Institut Périmètre de physique théorique; Innovation, Science and Economic Development Canada","keywords":"Yangian; Mathematics; Subalgebra; Nilpotent; Isomorphism (crystallography); Pure mathematics; Grassmannian; Isomorphism extension theorem; Quantum; Algebra over a field; Physics","score_opus":0.06430687530475093,"score_gpt":0.3571639947271298,"score_spread":0.29285711942237885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2626745001","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.322628,0.0015571049,0.17410858,0.003521973,0.0012050432,0.0001116225,0.0007105725,0.0011279506,0.49502918],"genre_scores_gemma":[0.949244,0.00046613044,0.018260747,0.00042660302,0.00024724478,0.00005789003,0.00028460793,0.0002550124,0.03075782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994879,0.000095158546,0.000019559979,0.00010653807,0.00016019041,0.00013071779],"domain_scores_gemma":[0.99980253,0.00003082301,0.00001971324,0.000035101515,0.000059435002,0.0000524216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033922965,0.00035543795,0.000413512,0.0011809551,0.0015217287,0.0018644744,0.00047838961,0.0005370168,0.008930811],"category_scores_gemma":[0.00076843717,0.00021828244,0.00051728304,0.0006432787,0.002063093,0.002855399,0.0023765755,0.0016168115,0.0013277574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007865004,0.0000051272787,0.00006145214,0.000009693772,0.0000017902934,0.00003676165,0.00017503914,0.00011323741,0.00060568657,0.9959935,0.00072605873,0.0022636352],"study_design_scores_gemma":[0.000014865803,0.00002716835,0.00043740406,0.000015941137,0.000007389008,0.00018604037,0.00040101993,0.0018855056,0.0013821004,0.9744163,0.021210013,0.000016108446],"about_ca_topic_score_codex":0.001933904,"about_ca_topic_score_gemma":0.0010717175,"teacher_disagreement_score":0.008930811,"about_ca_system_score_codex":0.0014800429,"about_ca_system_score_gemma":0.0007102939,"threshold_uncertainty_score":0.02987653},"labels":[],"label_agreement":null},{"id":"W2674812166","doi":"10.1093/oso/9780198802013.003.0012","title":"Hyperfunctions, the Duistermaat–Heckman Theorem and Loop Groups","year":2018,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Algebra and Geometry","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":"Hyperfunction; Mathematics; Pure mathematics; Hamiltonian (control theory); Group action; Tangent space; Mathematical analysis; Mathematical physics; Group (periodic table); Physics; Quantum mechanics","score_opus":0.03557709199329238,"score_gpt":0.27134027090114243,"score_spread":0.23576317890785006,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2674812166","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14496647,0.030210698,0.11706443,0.005623034,0.0017863952,0.000042439748,0.00022639055,0.00035483335,0.69972533],"genre_scores_gemma":[0.7607803,0.012903134,0.015863653,0.00073471473,0.0013475597,0.000051526662,0.00015009128,0.00015505016,0.20801395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999064,0.000023096376,0.000003429037,0.000014021504,0.000040748422,0.000012235956],"domain_scores_gemma":[0.99989235,0.000043626264,0.000009581381,0.000014038982,0.000025604037,0.000014779977],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026527277,0.00028131274,0.00021091344,0.00077633915,0.00067174144,0.0011915518,0.00031125348,0.00041365527,0.005553426],"category_scores_gemma":[0.0004720969,0.00011338348,0.00021189707,0.00068563543,0.0015387808,0.0017449843,0.0004735881,0.0010195816,0.0010610977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000202419,0.0000034575373,0.000025954218,0.000013830558,8.642812e-7,0.000015688613,0.00009112921,0.00021114328,0.00025937578,0.9921698,0.0014423432,0.0057643545],"study_design_scores_gemma":[0.0000016578231,0.000011960723,0.00015557863,0.000017943,0.0000014714557,0.000089732544,0.000078244695,0.0012840491,0.00031829491,0.96715945,0.030877773,0.0000038804314],"about_ca_topic_score_codex":0.0004966638,"about_ca_topic_score_gemma":0.00032470538,"teacher_disagreement_score":0.005553426,"about_ca_system_score_codex":0.0009399922,"about_ca_system_score_gemma":0.00041452787,"threshold_uncertainty_score":0.018578053},"labels":[],"label_agreement":null},{"id":"W2710037258","doi":"10.1016/j.jnt.2017.04.017","title":"Generating weights for the Weil representation attached to an even order cyclic quadratic module","year":2017,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Saskatchewan","funders":"National Science Foundation","keywords":"Mathematics; Prime (order theory); Modular form; Quadratic equation; Modular design; Representation (politics); Order (exchange); Simple (philosophy); Algebra over a field; Quadratic form (statistics); Pure mathematics; Discrete mathematics; Combinatorics; Computer science; Geometry","score_opus":0.07165629611922072,"score_gpt":0.416466089798575,"score_spread":0.34480979367935427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2710037258","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86960274,0.00029143476,0.062071115,0.0013332583,0.0006575364,0.00009339765,0.00025040982,0.00046520605,0.06523488],"genre_scores_gemma":[0.9527095,0.00027320645,0.008686082,0.00034814127,0.0006223442,0.00008506541,0.00027103382,0.00030061312,0.03670406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989832,0.00016637407,0.000039197068,0.000115577444,0.0003201148,0.0003754851],"domain_scores_gemma":[0.99867994,0.0002953552,0.00022993467,0.00014993131,0.00015932853,0.000485551],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015455988,0.0015366502,0.0011719475,0.004618871,0.0024366642,0.003921428,0.0016835621,0.0022811173,0.012266785],"category_scores_gemma":[0.0025785952,0.0006850404,0.0010226093,0.0021278802,0.0030884275,0.0046071224,0.0035789062,0.0027723482,0.0021929187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007469224,0.00006742407,0.0005554799,0.00003004944,0.0000091556685,0.00023974339,0.000376896,0.0009257756,0.0034180966,0.98549587,0.0010215953,0.0077852323],"study_design_scores_gemma":[0.0000433697,0.0000682598,0.000919191,0.000024672057,0.00001839635,0.00033080622,0.00016250901,0.010706787,0.0025394396,0.9824745,0.00265507,0.000056893525],"about_ca_topic_score_codex":0.0008020855,"about_ca_topic_score_gemma":0.0009800914,"teacher_disagreement_score":0.012266785,"about_ca_system_score_codex":0.0016767604,"about_ca_system_score_gemma":0.0011136852,"threshold_uncertainty_score":0.041036487},"labels":[],"label_agreement":null},{"id":"W2730847847","doi":"","title":"Scalar and Vector Coherent State Representations of Compact and Non-compact Symplectic Groups","year":2010,"lang":"en","type":"dissertation","venue":"TSpace (University of Toronto)","topic":"Advanced Algebra and Geometry","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 Toronto","keywords":"Symplectic geometry; Scalar (mathematics); Coherent states; Symplectic group; Pure mathematics; Mathematics; Compact group; Symplectic representation; Algebra over a field; Lie group; Symplectic manifold; Physics; Quantum mechanics; Quantum; Geometry","score_opus":0.016009424857979463,"score_gpt":0.29683363695825277,"score_spread":0.2808242121002733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2730847847","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41965878,0.002196956,0.4437322,0.0021886956,0.0005791424,0.0001253872,0.000353584,0.00018416844,0.1309811],"genre_scores_gemma":[0.90651304,0.00076760654,0.066735156,0.0003700031,0.00036001398,0.00015378594,0.00034147158,0.00008968476,0.02466929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920124,0.00024420462,0.000041228683,0.00012242654,0.00025661985,0.00013432108],"domain_scores_gemma":[0.9993839,0.00013375004,0.00012960422,0.00012541107,0.00013134947,0.00009586785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010573348,0.0003914355,0.00030572645,0.00093304215,0.0007200331,0.0018020655,0.0007665447,0.0010874729,0.004238378],"category_scores_gemma":[0.0018648836,0.0002131831,0.0005454362,0.0006012099,0.0022421053,0.003015778,0.0014681933,0.0010946388,0.00055719115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006789849,0.000007983713,0.00003193108,0.00000939226,0.0000012557573,0.000015814898,0.00010265355,0.0006631522,0.00063964404,0.9965953,0.0001997364,0.0017263003],"study_design_scores_gemma":[0.000013363388,0.000038040296,0.00017609376,0.0000118875705,0.0000025604293,0.00007883914,0.00012571886,0.02320756,0.00068943924,0.9720938,0.0035503188,0.0000123804175],"about_ca_topic_score_codex":0.0005189464,"about_ca_topic_score_gemma":0.0003520333,"teacher_disagreement_score":0.004238378,"about_ca_system_score_codex":0.00061696686,"about_ca_system_score_gemma":0.00064393104,"threshold_uncertainty_score":0.014178753},"labels":[],"label_agreement":null},{"id":"W2734467361","doi":"10.1016/j.aim.2017.06.020","title":"A stratification related to characteristic polynomials","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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; Poisson summation formula; TRACE (psycholinguistics); Stratification (seeds); Poisson distribution; Spectrum (functional analysis); Pure mathematics; Discrete spectrum; Algebra over a field; Mathematical analysis; Fourier transform; Statistics; Eigenvalues and eigenvectors","score_opus":0.03235307114146135,"score_gpt":0.37718751924115856,"score_spread":0.3448344480996972,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2734467361","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5622768,0.0025642614,0.16452453,0.0072466927,0.0018788298,0.00013985972,0.0007269052,0.0006528401,0.25998935],"genre_scores_gemma":[0.94699013,0.0008358775,0.008548931,0.00054205244,0.0009792258,0.000044681175,0.00031603742,0.00013946186,0.041603733],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937433,0.00013230596,0.00002752061,0.000121069905,0.00016251297,0.00018227479],"domain_scores_gemma":[0.99873763,0.00028257663,0.0001529489,0.000114673116,0.00029240389,0.00041972534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008001076,0.0007271927,0.00091144064,0.0036036936,0.003503437,0.0037533233,0.0007155451,0.0010973085,0.00989071],"category_scores_gemma":[0.002606789,0.0004821295,0.00091562164,0.002232299,0.004995601,0.0069483966,0.003285668,0.0038378013,0.0014778507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012091301,0.0000088489605,0.00014836041,0.000009702244,0.0000022654062,0.000042469503,0.00015240349,0.00010559923,0.0002570599,0.99730337,0.00060861773,0.0013492545],"study_design_scores_gemma":[0.00001132975,0.00001210669,0.00030666142,0.000008307509,0.0000058590986,0.00008862738,0.00008552058,0.0008330358,0.00012043532,0.99549,0.0030295965,0.000008489848],"about_ca_topic_score_codex":0.0019506735,"about_ca_topic_score_gemma":0.00177702,"teacher_disagreement_score":0.00989071,"about_ca_system_score_codex":0.002269229,"about_ca_system_score_gemma":0.001283943,"threshold_uncertainty_score":0.03308773},"labels":[],"label_agreement":null},{"id":"W2736243999","doi":"","title":"A sharp criterion for the existence of the density in the product formula on symmetric spaces of type A n","year":2010,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Advanced Algebra and Geometry","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":"Laurentian University","funders":"","keywords":"Type (biology); Mathematics; Product (mathematics); Product type; Pure mathematics; Mathematical analysis; Geometry; Computer science; Geology","score_opus":0.04025613570956352,"score_gpt":0.2954924979278625,"score_spread":0.25523636221829893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2736243999","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6177325,0.0023120253,0.26675516,0.008231618,0.00065347046,0.00014199359,0.0007010234,0.0006632913,0.10280889],"genre_scores_gemma":[0.96350366,0.0006254993,0.023059476,0.00081849383,0.00067158294,0.00015805336,0.00039105414,0.00013101009,0.010641065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988041,0.00036813586,0.000089214285,0.0002560862,0.00028711793,0.00019539952],"domain_scores_gemma":[0.9907128,0.0055656657,0.0007105477,0.00044607566,0.0012683116,0.0012966812],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029666007,0.000963293,0.0013772944,0.0032901524,0.002492998,0.004475258,0.002743233,0.0033933537,0.0055093006],"category_scores_gemma":[0.015542671,0.0010971355,0.0009613549,0.0012050046,0.005143526,0.007723393,0.0047618006,0.0041977745,0.00071364123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007464952,0.000022766188,0.00081894285,0.000076257944,0.000010141181,0.00019564507,0.00021573645,0.00047127737,0.002228131,0.9924745,0.0013188819,0.0020930944],"study_design_scores_gemma":[0.00004799722,0.00009014279,0.0014490394,0.00007122175,0.000024186498,0.0006528098,0.00021286993,0.023872364,0.0026293474,0.96799636,0.0029066347,0.000047126134],"about_ca_topic_score_codex":0.00090075476,"about_ca_topic_score_gemma":0.00059206795,"teacher_disagreement_score":0.0055093006,"about_ca_system_score_codex":0.0014773401,"about_ca_system_score_gemma":0.000994044,"threshold_uncertainty_score":0.018430412},"labels":[],"label_agreement":null},{"id":"W2737124987","doi":"10.1007/s00031-018-9509-2","title":"INTERSECTION MULTIPLICITY ONE FOR CLASSICAL GROUPS","year":2019,"lang":"en","type":"preprint","venue":"Transformation Groups","topic":"Advanced Algebra and Geometry","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":"Combinatorics; Multiplicity (mathematics); Mathematics; Product (mathematics); Intersection (aeronautics); Physics; Borel subgroup; Group (periodic table); Geometry; Quantum mechanics","score_opus":0.06562701552746955,"score_gpt":0.3265738474757549,"score_spread":0.2609468319482854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2737124987","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51224166,0.0035449401,0.14851183,0.010217875,0.0022327292,0.00010393433,0.00067403715,0.00086304155,0.32160997],"genre_scores_gemma":[0.95176625,0.0008436568,0.01424005,0.00045215612,0.0014466719,0.00010222573,0.00032250257,0.00017530148,0.03065119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99835205,0.00047070443,0.00007448841,0.00038346875,0.0004435556,0.00027571424],"domain_scores_gemma":[0.9973763,0.001029239,0.0003586531,0.0002783214,0.00034342153,0.0006140582],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002090024,0.0015432575,0.0013474283,0.005832051,0.0037803235,0.0060983337,0.002119484,0.002075012,0.012382261],"category_scores_gemma":[0.00503271,0.0006342466,0.0011115643,0.0027780542,0.0056008375,0.010240258,0.0042902385,0.0049950844,0.0016433296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031051295,0.000017922881,0.00016076917,0.000026646932,0.0000053251647,0.00003732358,0.00018025137,0.00019433489,0.00020407476,0.9959888,0.00080539397,0.00234814],"study_design_scores_gemma":[0.000008988251,0.000008834077,0.00012482228,0.000008393629,0.00000617038,0.00007124359,0.000055937762,0.001205325,0.00018570766,0.9969438,0.0013715887,0.000009287605],"about_ca_topic_score_codex":0.0008307972,"about_ca_topic_score_gemma":0.0005567351,"teacher_disagreement_score":0.012382261,"about_ca_system_score_codex":0.0031529074,"about_ca_system_score_gemma":0.0012058279,"threshold_uncertainty_score":0.041422844},"labels":[],"label_agreement":null},{"id":"W2738236644","doi":"10.4153/cmb-2018-003-2","title":"Multivariate Rankin–Selberg Integrals on GL<sub>4</sub> and GU(2, 2)","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Cusp (singularity); Product (mathematics); Multivariate statistics; Degree (music); Representation (politics); Multiple integral; Surface integral","score_opus":0.02327917125096519,"score_gpt":0.27576080774787126,"score_spread":0.2524816364969061,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2738236644","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94060045,0.00018751579,0.023255723,0.0005525152,0.00008313801,0.000024302093,0.00006173939,0.0001859721,0.035048746],"genre_scores_gemma":[0.9903977,0.00007406057,0.0037248149,0.00007094108,0.000064806394,0.0000111152585,0.000037350037,0.000041320887,0.0055779954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997209,0.00004811492,0.000009170528,0.000045689165,0.00009433228,0.00008168669],"domain_scores_gemma":[0.9997279,0.000036340924,0.00007063689,0.000028575885,0.0000386572,0.00009789973],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040943164,0.00060902484,0.00053897954,0.0019901812,0.0010118657,0.0017107616,0.00063830445,0.00055367424,0.0037470667],"category_scores_gemma":[0.0008575472,0.00020718084,0.00045576534,0.0007480871,0.0023682218,0.001964239,0.0014148786,0.001241872,0.00029458673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000750662,0.00003280397,0.0007182733,0.00001637775,0.000008202753,0.00037331728,0.00044990442,0.0015006464,0.003512084,0.9861558,0.0006163431,0.0065411376],"study_design_scores_gemma":[0.0000378075,0.000056574638,0.002753071,0.000019390382,0.00001696438,0.00062821095,0.00037078978,0.021204978,0.0037085116,0.96642315,0.0047388636,0.000041786752],"about_ca_topic_score_codex":0.001441262,"about_ca_topic_score_gemma":0.0010025176,"teacher_disagreement_score":0.0037470667,"about_ca_system_score_codex":0.0012360151,"about_ca_system_score_gemma":0.00045258974,"threshold_uncertainty_score":0.012535214},"labels":[],"label_agreement":null},{"id":"W2744458637","doi":"10.1017/9781316671528.008","title":"Matrix Lie Groups","year":2017,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Algebra and Geometry","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":"Lie group; Pure mathematics; Matrix (chemical analysis); Mathematics; Algebra over a field; Materials science; Composite material","score_opus":0.04078931714171101,"score_gpt":0.26276994529264486,"score_spread":0.22198062815093383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2744458637","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0077538067,0.012888856,0.025903547,0.0025040465,0.0016198284,0.000027221637,0.0007018063,0.0005214625,0.94807947],"genre_scores_gemma":[0.10177167,0.012402229,0.008763119,0.00064814155,0.0012183499,0.000049359878,0.0008585096,0.0003138431,0.8739747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9998832,0.00001880316,0.000003073102,0.000019208006,0.00006329579,0.000012424243],"domain_scores_gemma":[0.9999176,0.000013774201,0.0000063671914,0.000012189041,0.000031228712,0.000018840068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015054544,0.000435857,0.00024583173,0.0010288826,0.0004898508,0.0013717081,0.00027787196,0.0003440298,0.04647605],"category_scores_gemma":[0.00035820913,0.0001377153,0.00019691767,0.00079490343,0.00070576224,0.0014160622,0.00073552626,0.0007734634,0.017089482],"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":[0.000008506402,0.0000066249822,0.000047667858,0.00009249252,0.0000045075944,0.00004355342,0.00019227009,0.00043974226,0.0012625884,0.88193893,0.07706303,0.03890009],"study_design_scores_gemma":[0.000003380524,0.00001548952,0.0002411186,0.000056127607,0.0000034285763,0.0001780016,0.00011372266,0.0009861329,0.0006359245,0.5233925,0.47436687,0.0000073998444],"about_ca_topic_score_codex":0.00075298746,"about_ca_topic_score_gemma":0.001058975,"teacher_disagreement_score":0.04647605,"about_ca_system_score_codex":0.0006550608,"about_ca_system_score_gemma":0.0004291197,"threshold_uncertainty_score":0.15547782},"labels":[],"label_agreement":null},{"id":"W2746918637","doi":"10.24033/ast.1126","title":"Modularity of generating series of divisors on unitary Shimura varieties","year":2020,"lang":"en","type":"article","venue":"Astérisque","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":34,"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; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Unitary state; Shimura variety; Modularity (biology); Mathematics; Series (stratigraphy); Pure mathematics; Algebra over a field; Arithmetic; Modular form; Geology; Biology; Paleontology","score_opus":0.06512503420223066,"score_gpt":0.2861256096077942,"score_spread":0.22100057540556356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2746918637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8862581,0.00033388735,0.091640376,0.0003351457,0.0001374138,0.00006330569,0.00012004089,0.00020841736,0.020903274],"genre_scores_gemma":[0.9843476,0.00021089442,0.00936016,0.00004391564,0.00019937739,0.000061005376,0.00011667073,0.00008424686,0.005576139],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926835,0.00017621361,0.000038842412,0.0001249594,0.00020880571,0.00018283185],"domain_scores_gemma":[0.9984642,0.0005440839,0.00028012443,0.00012762586,0.00017164834,0.0004124114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018959452,0.0014148247,0.00090835855,0.004815521,0.0013904276,0.0027367664,0.0013117889,0.0009213651,0.0054569216],"category_scores_gemma":[0.004367534,0.00061334705,0.0012967489,0.0014137696,0.0037643602,0.0045753145,0.0024792454,0.001546879,0.00070424855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046521407,0.000045275898,0.0010596997,0.00003564159,0.000013136364,0.00025947433,0.00056308164,0.0018811745,0.0025222914,0.98837364,0.00034203887,0.004858018],"study_design_scores_gemma":[0.000043272546,0.000102242004,0.001309659,0.000035397265,0.000026509404,0.00053237693,0.00018649215,0.030663544,0.0031021822,0.9623059,0.001658161,0.000034289624],"about_ca_topic_score_codex":0.00031774165,"about_ca_topic_score_gemma":0.0003684565,"teacher_disagreement_score":0.0054569216,"about_ca_system_score_codex":0.0016989115,"about_ca_system_score_gemma":0.0004487162,"threshold_uncertainty_score":0.018255234},"labels":[],"label_agreement":null},{"id":"W2752424854","doi":"10.4153/cjm-2017-047-7","title":"Relative Discrete Series Representations for Two Quotients of<i>p</i>-adic GL<sub>n</sub>","year":2017,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Quotient; Quadratic equation; Zero (linguistics); Residual; Series (stratigraphy); Discrete spectrum; Spectrum (functional analysis); Extension (predicate logic)","score_opus":0.042700937805532566,"score_gpt":0.33479222562198324,"score_spread":0.29209128781645066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2752424854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9183971,0.0001782542,0.036335763,0.00043837796,0.0001628802,0.000034205652,0.00008194015,0.00011519168,0.0442562],"genre_scores_gemma":[0.98859763,0.00006702134,0.004803365,0.000058595924,0.000044437696,0.000018445236,0.000057600457,0.00003451444,0.006318356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999728,0.000039355116,0.000014655768,0.000051364495,0.00009295916,0.00007364097],"domain_scores_gemma":[0.99972576,0.00003681898,0.000052713243,0.000023507266,0.000038373626,0.00012288721],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034650177,0.0005446437,0.0003945937,0.0014838793,0.0009464338,0.0019662965,0.0005392429,0.0005166336,0.0048713638],"category_scores_gemma":[0.000618607,0.00021041327,0.0006013434,0.0005012531,0.0023412048,0.0016054604,0.0013633292,0.0010714976,0.00038214252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048402628,0.00003603223,0.00038210858,0.000016917047,0.000005417212,0.00044406482,0.00055664964,0.00062661583,0.005272686,0.98831916,0.0003182942,0.0039735395],"study_design_scores_gemma":[0.000062945604,0.00013273899,0.0015327142,0.000028928274,0.000015547877,0.0007597699,0.0008914246,0.012860826,0.005302711,0.97278476,0.0055934503,0.00003412015],"about_ca_topic_score_codex":0.00064656796,"about_ca_topic_score_gemma":0.00042341446,"teacher_disagreement_score":0.0048713638,"about_ca_system_score_codex":0.0010830939,"about_ca_system_score_gemma":0.00033302183,"threshold_uncertainty_score":0.016296327},"labels":[],"label_agreement":null},{"id":"W2755009224","doi":"10.1142/s1793042118500537","title":"Applications of group theory to conjectures of Artin and Langlands","year":2017,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Langlands program; Mathematics; Artin L-function; Langlands dual group; Automorphic L-function; Pure mathematics; Group (periodic table); Algebra over a field; Automorphic form; Conjecture; Conductor; Geometry","score_opus":0.015682266246749715,"score_gpt":0.35961426769478466,"score_spread":0.34393200144803493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2755009224","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5958112,0.0067370716,0.12113774,0.030915957,0.0023094274,0.000071051836,0.00030933466,0.000284765,0.24242342],"genre_scores_gemma":[0.97717035,0.0010107375,0.009888867,0.0007122694,0.0016246116,0.000032894135,0.0001692784,0.000035880403,0.009354988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998885,0.00047574754,0.00004628605,0.00018962589,0.00025712082,0.00014625442],"domain_scores_gemma":[0.9961028,0.0025091968,0.00034580004,0.00043152433,0.0003016838,0.00030895704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022712888,0.00057435053,0.0008002513,0.0018939197,0.002161641,0.0018582402,0.0010875408,0.0015402597,0.008530882],"category_scores_gemma":[0.0073349653,0.0002572894,0.0010383683,0.0013776545,0.0065536015,0.005723177,0.0028562134,0.0026247143,0.0004753973],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024875311,0.00002025655,0.0007744651,0.000040779072,0.000006262261,0.00008619799,0.00034627088,0.0019194938,0.00018434558,0.9925466,0.0012543552,0.0027960583],"study_design_scores_gemma":[0.0000062816134,0.000008022203,0.00012822835,0.0000070143933,0.0000018905683,0.000027043012,0.00009623076,0.0017585597,0.00008842488,0.99661237,0.0012625853,0.0000031526681],"about_ca_topic_score_codex":0.00081884983,"about_ca_topic_score_gemma":0.0006778351,"teacher_disagreement_score":0.008530882,"about_ca_system_score_codex":0.0013298823,"about_ca_system_score_gemma":0.00059068255,"threshold_uncertainty_score":0.028538644},"labels":[],"label_agreement":null},{"id":"W2763413341","doi":"10.1515/crelle.2011.084","title":"Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities","year":2011,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","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 Sherbrooke; Concordia University","funders":"","keywords":"Monodromy; Meromorphic function; Mathematics; Pure mathematics; Gravitational singularity; Riemann surface; Homology (biology); Space (punctuation); Inverse; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.04285053518052803,"score_gpt":0.30320017876271566,"score_spread":0.2603496435821876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2763413341","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9354905,0.00030695315,0.049922395,0.00095539616,0.000052946467,0.000028376711,0.000053782613,0.00005044277,0.013139222],"genre_scores_gemma":[0.9877594,0.00012700727,0.006167426,0.00005004183,0.00006525391,0.000014258888,0.000065001,0.0000136426825,0.0057379347],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973744,0.00007233876,0.00000953266,0.000042381547,0.000090988666,0.000047368576],"domain_scores_gemma":[0.9995553,0.00017179134,0.000065864115,0.000038251925,0.000062684085,0.000106125124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007322772,0.0005093558,0.00066399534,0.0012626534,0.0010220406,0.0013212111,0.000644013,0.0011587037,0.0035953785],"category_scores_gemma":[0.002271601,0.00020672283,0.0004588377,0.00043975553,0.0027661156,0.0027991016,0.0015311969,0.0013587873,0.00024386143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031637053,0.000024208071,0.0005584885,0.000036133682,0.000010411862,0.00022262093,0.0003153345,0.0044663763,0.0018391396,0.98949254,0.0003593711,0.0026437782],"study_design_scores_gemma":[0.000032973192,0.000040798936,0.0007826164,0.00001481065,0.0000067894675,0.00035864784,0.00033929327,0.054604944,0.0016871891,0.94111586,0.0009994225,0.000016487373],"about_ca_topic_score_codex":0.00077402784,"about_ca_topic_score_gemma":0.0004758645,"teacher_disagreement_score":0.0035953785,"about_ca_system_score_codex":0.0010393388,"about_ca_system_score_gemma":0.00062504516,"threshold_uncertainty_score":0.0120277405},"labels":[],"label_agreement":null},{"id":"W2765587377","doi":"10.1007/978-3-319-59728-7_2","title":"Problems Beyond Endoscopy","year":2017,"lang":"en","type":"book-chapter","venue":"Progress in mathematics","topic":"Advanced Algebra and Geometry","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":"Endoscopy; Computer science; Epistemology; Calculus (dental); Medicine; Radiology; Philosophy; Dentistry","score_opus":0.050808677668326856,"score_gpt":0.33634984186352207,"score_spread":0.2855411641951952,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765587377","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016804205,0.020313911,0.011097621,0.017878078,0.0037828176,0.00001782069,0.000110659894,0.000088017674,0.94503075],"genre_scores_gemma":[0.06820916,0.024004987,0.007848015,0.008511229,0.005775588,0.00008289942,0.0003298123,0.0003816546,0.88485664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948716,0.00015350983,0.000015870808,0.00008222692,0.0001721716,0.00008900242],"domain_scores_gemma":[0.9996636,0.0001106364,0.000020137244,0.000062319334,0.00007088357,0.00007235673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007383265,0.0007565352,0.0005325132,0.0012111963,0.0019649232,0.004171417,0.000930821,0.0027715613,0.043200076],"category_scores_gemma":[0.0024078062,0.0002941133,0.00048043253,0.0007549368,0.0066156904,0.008619891,0.004191363,0.0051782955,0.01472613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064808714,0.0000048877373,0.000027467933,0.000042058637,0.000001809543,0.00004248616,0.0001881968,0.00009693512,0.00006985657,0.92606306,0.05465103,0.01880571],"study_design_scores_gemma":[0.00000269316,0.000004583055,0.00005904927,0.00012207624,0.0000018837828,0.00020394422,0.00018843013,0.000105783576,0.00006442402,0.46489885,0.5343431,0.000005117255],"about_ca_topic_score_codex":0.001255714,"about_ca_topic_score_gemma":0.0017291814,"teacher_disagreement_score":0.043200076,"about_ca_system_score_codex":0.0021960419,"about_ca_system_score_gemma":0.0018171802,"threshold_uncertainty_score":0.14451867},"labels":[],"label_agreement":null},{"id":"W2766104339","doi":"10.4153/cmb-2017-068-1","title":"Irregular Weight One Points with Image","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Conjecture; Dimension (graph theory); Intersection (aeronautics); Point (geometry); Pure mathematics; Tangent; Logarithm; Space (punctuation); Algebraic number; Fourier series; Tangent space; Mathematical analysis; Geometry","score_opus":0.02388841197716511,"score_gpt":0.2676140134387367,"score_spread":0.24372560146157157,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766104339","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95437706,0.00011940866,0.014350017,0.00031033097,0.00009210622,0.00002136439,0.0000767172,0.00015934467,0.030493582],"genre_scores_gemma":[0.99180627,0.00006457295,0.0019590727,0.000031048196,0.00005087795,0.000009323675,0.000092635084,0.000023920356,0.005962394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954706,0.000036394867,0.000020711535,0.000117264564,0.00014499034,0.00013354677],"domain_scores_gemma":[0.9991985,0.00009335053,0.00016366444,0.00013770116,0.00017075603,0.00023601102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035268228,0.0005750177,0.00055250234,0.0022043649,0.0013037532,0.002390797,0.00063190976,0.00054892665,0.0052299206],"category_scores_gemma":[0.0016457307,0.00028019573,0.00048815532,0.000968979,0.0029680948,0.00290714,0.0029152024,0.0017131103,0.00071000017],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018433454,0.000075901655,0.0044802786,0.0000421415,0.000016769938,0.00091824855,0.0010641239,0.001412956,0.007622602,0.96918756,0.00077387353,0.014221196],"study_design_scores_gemma":[0.00005303365,0.00020021581,0.0061475947,0.00004745571,0.00002998674,0.0016007209,0.0011369782,0.0114221275,0.00933952,0.96031004,0.009660417,0.000051851686],"about_ca_topic_score_codex":0.0010065727,"about_ca_topic_score_gemma":0.0005215672,"teacher_disagreement_score":0.0052299206,"about_ca_system_score_codex":0.0012499666,"about_ca_system_score_gemma":0.0003895563,"threshold_uncertainty_score":0.017495811},"labels":[],"label_agreement":null},{"id":"W2766278881","doi":"10.1016/j.laa.2018.04.001","title":"Generators and relations for the unitary group of a skew hermitian form over a local ring","year":2018,"lang":"en","type":"preprint","venue":"Linear Algebra and its Applications","topic":"Advanced Algebra and Geometry","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 Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Symplectic group; Commutative ring; Ring (chemistry); Unitary group; Hermitian matrix; Unitary state; Group (periodic table); Supergroup; Pure mathematics; Combinatorics; Rank (graph theory); Free group; Commutative property; Physics","score_opus":0.02917765760561651,"score_gpt":0.31099121074861097,"score_spread":0.28181355314299444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766278881","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53048706,0.004580849,0.31193852,0.004386965,0.0020426481,0.00027290854,0.0010051808,0.0004656671,0.14482023],"genre_scores_gemma":[0.9301466,0.0010895145,0.03760128,0.0006187319,0.0010925089,0.00017171251,0.0004417757,0.00022405767,0.028613767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991448,0.00028914734,0.00006008252,0.00019682571,0.00018554539,0.00012359364],"domain_scores_gemma":[0.99918765,0.00021627553,0.00018320857,0.000085805994,0.0001335143,0.00019351345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015984032,0.0011012402,0.00074373797,0.0019514849,0.0017144677,0.002886707,0.0011543707,0.0014442655,0.010033056],"category_scores_gemma":[0.0017403755,0.00042015308,0.0007612841,0.0012948015,0.0035948867,0.004126068,0.002350435,0.0025583508,0.0016158303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001641109,0.000016126654,0.00011380163,0.000013343356,0.0000034514687,0.000058140096,0.00027378462,0.00021112578,0.00065882306,0.99476105,0.0006217789,0.0032522297],"study_design_scores_gemma":[0.000015029519,0.000023600935,0.00014284451,0.000007487729,0.000005241024,0.00010191827,0.00009708466,0.0018110443,0.00046945756,0.9934623,0.0038513804,0.000012577085],"about_ca_topic_score_codex":0.00052921387,"about_ca_topic_score_gemma":0.00044786627,"teacher_disagreement_score":0.010033056,"about_ca_system_score_codex":0.00089238636,"about_ca_system_score_gemma":0.000812119,"threshold_uncertainty_score":0.033563852},"labels":[],"label_agreement":null},{"id":"W2768398021","doi":"10.1090/bproc/32","title":"On the sharpness of the bound for the Local Converse Theorem of 𝑝-adic GL_{jlcg_}","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Algebra and Geometry","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":"McMaster University; University of East Anglia; Purdue University; Engineering and Physical Sciences Research Council; City University of New York; Simons Foundation; University of Calgary; National Science Foundation","keywords":"Algorithm; Annotation; Type (biology); Artificial intelligence; Computer science; Mathematics; Geology","score_opus":0.01944944165524908,"score_gpt":0.28024060024383635,"score_spread":0.26079115858858726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2768398021","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2947875,0.0062349197,0.398731,0.014238908,0.001508458,0.00013585019,0.0015848151,0.0015048916,0.2812736],"genre_scores_gemma":[0.93222564,0.0022620782,0.03133732,0.0027291728,0.0015650366,0.00025696945,0.0011156007,0.0005580834,0.027950054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959467,0.00080871134,0.00022399802,0.0011281581,0.0011440432,0.00074832316],"domain_scores_gemma":[0.99117625,0.005252197,0.0006010729,0.0008218968,0.0011473346,0.0010012568],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004747225,0.0014774441,0.0019900505,0.004144901,0.0039068935,0.0060206736,0.0031222145,0.0018789825,0.015022402],"category_scores_gemma":[0.011746969,0.0008624028,0.0023858026,0.001861394,0.006528259,0.015051251,0.010123457,0.007872054,0.002168379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056191475,0.000018033263,0.00042623671,0.00010214026,0.000016387841,0.00008839174,0.00023242702,0.0004118367,0.0005228666,0.9923482,0.001563973,0.004213459],"study_design_scores_gemma":[0.000025162908,0.000068474146,0.0007627568,0.000065161206,0.000043117092,0.00033898698,0.00017409313,0.007229092,0.001730876,0.9821707,0.007352155,0.000039398874],"about_ca_topic_score_codex":0.0013875483,"about_ca_topic_score_gemma":0.0008219821,"teacher_disagreement_score":0.015022402,"about_ca_system_score_codex":0.0029841082,"about_ca_system_score_gemma":0.00095556665,"threshold_uncertainty_score":0.05025494},"labels":[],"label_agreement":null},{"id":"W2770107105","doi":"10.1007/s00229-002-0306-8","title":"Toward equivariant Iwasawa theory","year":2002,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":62,"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":"Equivariant map; Number theory; Mathematics; Iwasawa theory; Algebraic geometry; Pure mathematics; Algebra over a field; Conjecture","score_opus":0.1516125493573456,"score_gpt":0.30110720127118407,"score_spread":0.14949465191383846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770107105","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20814241,0.003007847,0.38085443,0.010830015,0.0031487052,0.00008551863,0.00029968534,0.0012004648,0.39243084],"genre_scores_gemma":[0.77386105,0.0039663776,0.07228701,0.0020943931,0.0034252638,0.00013384513,0.00046185046,0.00090798986,0.1428622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995999,0.000104174935,0.000021977272,0.000063823005,0.00014485701,0.00006530313],"domain_scores_gemma":[0.99958926,0.00007230672,0.00004442978,0.00008722554,0.000099928024,0.00010678488],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094938936,0.001104122,0.0010268595,0.0024989746,0.0013970874,0.002848731,0.0011264558,0.0012056942,0.0077821678],"category_scores_gemma":[0.0014663327,0.0005758947,0.001063482,0.0012615139,0.002487295,0.007142654,0.003374625,0.004217556,0.0024344272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064255073,0.000009371303,0.00003741921,0.00001682224,0.0000033494812,0.00002139135,0.00007332302,0.00021229874,0.00032366012,0.99621695,0.00069739216,0.0023815033],"study_design_scores_gemma":[0.0000033245387,0.0000063735974,0.000052334144,0.000006094038,0.000003338999,0.00004229076,0.00003855953,0.0011811827,0.00023768541,0.9938507,0.0045729573,0.000005052684],"about_ca_topic_score_codex":0.0002647051,"about_ca_topic_score_gemma":0.0002362678,"teacher_disagreement_score":0.0077821678,"about_ca_system_score_codex":0.00087837374,"about_ca_system_score_gemma":0.00052279234,"threshold_uncertainty_score":0.026033938},"labels":[],"label_agreement":null},{"id":"W2780014541","doi":"10.2140/ant.2019.13.1829","title":"Theta operators on unitary Shimura varieties","year":2019,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Unitary state; Shimura variety; Pure mathematics; Quadratic field; Scalar (mathematics); Signature (topology); Algebra over a field; Modular form; Unitary operator; Operator (biology); Modular design; Field (mathematics); Quadratic equation; Hilbert space; Quadratic function; Geometry","score_opus":0.015575948411146574,"score_gpt":0.2840424197527475,"score_spread":0.26846647134160095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2780014541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9010395,0.00040054496,0.059292115,0.00039275654,0.00026058787,0.000045818266,0.000047901503,0.00019801788,0.038322814],"genre_scores_gemma":[0.98557043,0.00026478455,0.006701561,0.00008618114,0.0001845489,0.000030095598,0.000026769874,0.000060390514,0.0070752525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967647,0.00007282155,0.00001511152,0.000051319155,0.000092624294,0.000091723115],"domain_scores_gemma":[0.999321,0.00012371827,0.000118522876,0.00007595496,0.00009086675,0.00026991597],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067853794,0.0008345994,0.0004860193,0.001892933,0.0012276213,0.0014243821,0.00071805064,0.0006851272,0.003386206],"category_scores_gemma":[0.0017171295,0.00026362686,0.00058429316,0.0007593413,0.003196244,0.0024966092,0.0017536074,0.0014408729,0.00045011024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034534878,0.00002701015,0.000286436,0.000018633173,0.0000035310668,0.00016201161,0.0004398671,0.00080243684,0.003583072,0.9912616,0.00024209493,0.003138773],"study_design_scores_gemma":[0.00005522398,0.00013196765,0.00075305963,0.000033410808,0.000010624421,0.00049114815,0.00056654715,0.015691077,0.0043725297,0.974918,0.0029387025,0.00003759905],"about_ca_topic_score_codex":0.00034095373,"about_ca_topic_score_gemma":0.00027839674,"teacher_disagreement_score":0.003386206,"about_ca_system_score_codex":0.00052497175,"about_ca_system_score_gemma":0.00040645234,"threshold_uncertainty_score":0.011327982},"labels":[],"label_agreement":null},{"id":"W2781599223","doi":"","title":"The Theta Correspondence and Periods of Automorphic Forms","year":2014,"lang":"en","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","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 Toronto","keywords":"Psychology; Mathematics","score_opus":0.022691667357829147,"score_gpt":0.37046624963778274,"score_spread":0.3477745822799536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2781599223","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8803014,0.0011874323,0.043709163,0.000547863,0.0001716645,0.00002759094,0.00007810164,0.0000925303,0.07388411],"genre_scores_gemma":[0.98632866,0.00048109915,0.0036154636,0.000053399464,0.00014678,0.0000195206,0.000039738858,0.000036088357,0.009279313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995956,0.00008129483,0.000024243789,0.000080144986,0.00012587046,0.000092996495],"domain_scores_gemma":[0.99952316,0.00015648827,0.00009828657,0.0000768937,0.000063356805,0.000081805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051577354,0.00027847267,0.00026047212,0.0013168022,0.0008012414,0.00224093,0.00039158834,0.00038346904,0.0045279805],"category_scores_gemma":[0.002005218,0.00020103157,0.00035667996,0.000837969,0.002034452,0.0035439646,0.0015524707,0.0008923013,0.00042539465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020106183,0.000009996042,0.00053681084,0.000016100234,0.0000041238627,0.00007282981,0.00048913853,0.00054726197,0.0019771405,0.9860963,0.00023455422,0.009995567],"study_design_scores_gemma":[0.000012468303,0.00006596311,0.001726871,0.000021908112,0.00000782897,0.00030094123,0.0004744036,0.0034817313,0.0027586701,0.982277,0.008852763,0.000019539404],"about_ca_topic_score_codex":0.00026803347,"about_ca_topic_score_gemma":0.00019233841,"teacher_disagreement_score":0.0045279805,"about_ca_system_score_codex":0.0007702117,"about_ca_system_score_gemma":0.00031659534,"threshold_uncertainty_score":0.015147626},"labels":[],"label_agreement":null},{"id":"W2784146759","doi":"","title":"Preconditioning random Toeplitz systems","year":2016,"lang":"en","type":"article","venue":"Journal of nonlinear and convex analysis","topic":"Advanced Algebra and Geometry","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":"Toeplitz matrix; Mathematics; Applied mathematics; Computer science; Algebra over a field; Calculus (dental); Pure mathematics; Medicine; Orthodontics","score_opus":0.019312677423992224,"score_gpt":0.2949016330481855,"score_spread":0.2755889556241933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2784146759","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06177467,0.00030070337,0.9250714,0.0005250671,0.00040540658,0.00006942723,0.000089843976,0.00034049797,0.011422893],"genre_scores_gemma":[0.85837096,0.00073951564,0.11427079,0.00040046236,0.00038874507,0.00012233276,0.0002783228,0.00023296071,0.025195915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955887,0.00018379262,0.000024512205,0.00006328473,0.000117697746,0.000051716455],"domain_scores_gemma":[0.99874985,0.00053020765,0.00011675653,0.00031173136,0.0001917196,0.00009964948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007687836,0.00072866434,0.0006340227,0.00027855232,0.00025380478,0.0008872117,0.00041694142,0.0007359676,0.010518223],"category_scores_gemma":[0.0038403836,0.00031033673,0.0002358071,0.00039420396,0.0009365563,0.0014738322,0.0014141385,0.0011769432,0.0010936966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00067884586,0.00022760476,0.00064010517,0.00027230475,0.000100284866,0.00033552112,0.00017075648,0.34036323,0.027076988,0.5077051,0.009304903,0.11312439],"study_design_scores_gemma":[0.000057682344,0.00017871891,0.00017939052,0.000018001443,0.000017207165,0.00008498176,0.000044694603,0.849181,0.006443869,0.14097334,0.0028003254,0.00002075911],"about_ca_topic_score_codex":0.00028484256,"about_ca_topic_score_gemma":0.0005064983,"teacher_disagreement_score":0.010518223,"about_ca_system_score_codex":0.00018499454,"about_ca_system_score_gemma":0.0004418778,"threshold_uncertainty_score":0.035186946},"labels":[],"label_agreement":null},{"id":"W2785502289","doi":"10.4310/pamq.2020.v16.n1.a1","title":"Holographic codes on Bruhat–Tits buildings and Drinfeld symmetric spaces","year":2020,"lang":"en","type":"preprint","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","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":"Perimeter Institute","funders":"","keywords":"Pure mathematics; Context (archaeology); Holography; Mathematics; Architectural engineering; Algebra over a field; Physics; Geography; Engineering; Quantum mechanics","score_opus":0.028307409734379015,"score_gpt":0.2800443719582949,"score_spread":0.2517369622239159,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2785502289","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5359158,0.0016825087,0.22877237,0.0021734703,0.00028876547,0.00011583167,0.00065224356,0.0002800027,0.23011905],"genre_scores_gemma":[0.94056976,0.00064620265,0.031228397,0.00023328835,0.00019302659,0.000056021414,0.00035349382,0.00007628793,0.026643371],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947506,0.00013298393,0.000019322524,0.00005879836,0.0002117483,0.00010209495],"domain_scores_gemma":[0.999382,0.00018130879,0.00008562313,0.00011315638,0.0001221345,0.0001157625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039134332,0.00031403292,0.00033746895,0.0013002477,0.0010194844,0.001467727,0.00049990445,0.0007944642,0.0039751194],"category_scores_gemma":[0.0011281037,0.00025767306,0.00037267926,0.00088123913,0.0022983097,0.002113163,0.0012112412,0.0014432548,0.0006328624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004503672,0.0000026167322,0.000037739148,0.0000067377055,7.6918354e-7,0.00002223675,0.00008388558,0.00038748494,0.00034720727,0.9975426,0.0002485016,0.0013157324],"study_design_scores_gemma":[0.0000105632,0.000012743887,0.0002165877,0.000012538632,0.0000020875946,0.00012467858,0.00011977558,0.0042583565,0.0009098005,0.9896186,0.0047012498,0.000013009373],"about_ca_topic_score_codex":0.001897675,"about_ca_topic_score_gemma":0.0022507333,"teacher_disagreement_score":0.0039751194,"about_ca_system_score_codex":0.0010448139,"about_ca_system_score_gemma":0.0005207875,"threshold_uncertainty_score":0.013298094},"labels":[],"label_agreement":null},{"id":"W2791740894","doi":"10.1016/j.crma.2018.02.003","title":"An integrable connection on the configuration space of a Riemann surface of positive genus","year":2018,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Algebra and Geometry","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; Riemann surface; Connection (principal bundle); Compact Riemann surface; Betti number; Vector bundle; Genus; Moduli space; Isomorphism (crystallography); Pure mathematics; Lie algebra; Surface (topology); Combinatorics; Algebra over a field; Geometry","score_opus":0.031519443928199074,"score_gpt":0.3124592523703157,"score_spread":0.28093980844211663,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791740894","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89313555,0.0005977432,0.030534327,0.0016095544,0.00030411597,0.000030220124,0.0002493387,0.00036058945,0.07317852],"genre_scores_gemma":[0.97984946,0.00023960507,0.0030520307,0.00014171796,0.0001916221,0.000023573864,0.00021923576,0.000099788755,0.016182926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993531,0.00011450154,0.000018595832,0.00013131686,0.00021164857,0.00017079615],"domain_scores_gemma":[0.9994035,0.00009710523,0.00008726998,0.000054564785,0.0000906288,0.00026683332],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004040019,0.0008792024,0.0008923596,0.0031793949,0.0023573304,0.0026465848,0.00093023543,0.0012598874,0.008263274],"category_scores_gemma":[0.0013011787,0.00047424724,0.00058502145,0.0016335105,0.0028172922,0.0025141358,0.0028035291,0.001823369,0.00114047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056613073,0.00003522239,0.00079567736,0.00003268767,0.000018052051,0.0006114381,0.0003016349,0.0037226751,0.001754524,0.9848022,0.0015536204,0.006315681],"study_design_scores_gemma":[0.000039558785,0.00010156005,0.0029858586,0.000036878606,0.00001535048,0.0007565769,0.0003540522,0.023667946,0.00088759285,0.96554226,0.0055561173,0.000056288693],"about_ca_topic_score_codex":0.0015375335,"about_ca_topic_score_gemma":0.00094124116,"teacher_disagreement_score":0.008263274,"about_ca_system_score_codex":0.0019893518,"about_ca_system_score_gemma":0.0005978169,"threshold_uncertainty_score":0.027643383},"labels":[],"label_agreement":null},{"id":"W2792736802","doi":"10.1017/s147474801800004x","title":"AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS","year":2018,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Holomorphic function; Mathematics; Siegel modular form; Automorphic form; Cusp (singularity); Identity theorem; Pure mathematics; Modular form; Cusp form; Eisenstein series; Algebra over a field; Geometry","score_opus":0.04302225505066026,"score_gpt":0.3417215157603256,"score_spread":0.29869926070966535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2792736802","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31417164,0.0052980147,0.5129646,0.0059349863,0.0012537848,0.000101349455,0.00028032283,0.00042851022,0.1595668],"genre_scores_gemma":[0.89500326,0.0026305704,0.05982003,0.00128044,0.001002279,0.00014801249,0.00028930564,0.000250771,0.039575357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938667,0.00011738268,0.00004449756,0.00016225016,0.00019724527,0.00009180546],"domain_scores_gemma":[0.99870133,0.00046286173,0.00015568614,0.0001439127,0.00030411367,0.00023212437],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016949752,0.0011448943,0.0009807798,0.003357041,0.0017587283,0.001697855,0.0011906883,0.0014959716,0.01006708],"category_scores_gemma":[0.0045312876,0.00044917842,0.0014948351,0.0013349475,0.0028877226,0.0029066727,0.0039457083,0.0035678518,0.0013185223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018178825,0.000020093114,0.0005328699,0.000065638946,0.000015477317,0.00024208936,0.0003034304,0.0007615671,0.001937389,0.9864651,0.0012392445,0.008398897],"study_design_scores_gemma":[0.000016468528,0.00005885128,0.0007087587,0.000059989816,0.000021630509,0.0006870593,0.00014918006,0.014375611,0.0020255072,0.9732065,0.008663532,0.000027028107],"about_ca_topic_score_codex":0.00064796646,"about_ca_topic_score_gemma":0.0004553901,"teacher_disagreement_score":0.01006708,"about_ca_system_score_codex":0.001360595,"about_ca_system_score_gemma":0.00050480996,"threshold_uncertainty_score":0.033677697},"labels":[],"label_agreement":null},{"id":"W2793587493","doi":"10.1090/conm/701/14143","title":"An explicit integral representation of Siegel-Whittaker functions on 𝑆𝑝(2,ℝ) for the large discrete series representations","year":2018,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Algebra and Geometry","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; Series (stratigraphy); Algebra over a field; Pure mathematics; Representation (politics); Representation theory; Siegel modular form","score_opus":0.06281218779586933,"score_gpt":0.3759327207672633,"score_spread":0.31312053297139397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2793587493","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17816257,0.0015753355,0.4366932,0.0032966188,0.0015281406,0.0000954233,0.0004783626,0.0016651542,0.3765053],"genre_scores_gemma":[0.811211,0.0016820619,0.062881246,0.0008068281,0.0009563036,0.0001378769,0.00048602655,0.0013876574,0.12045099],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994142,0.00008808424,0.0000258455,0.000101987236,0.00024259729,0.00012727402],"domain_scores_gemma":[0.99940586,0.00017130826,0.000079726844,0.00008477705,0.00013493115,0.00012342131],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009895854,0.0018163777,0.0008683892,0.0031289107,0.0013325568,0.0034260938,0.0014057966,0.0013086867,0.024666138],"category_scores_gemma":[0.002616893,0.00039060868,0.0012037507,0.0017322783,0.0019394922,0.005104049,0.0018928302,0.0030130136,0.0061688046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016371434,0.000022615279,0.00008437252,0.00005394967,0.000005135671,0.00011646362,0.00022280136,0.0009769293,0.0010809997,0.98359495,0.0025544132,0.011270971],"study_design_scores_gemma":[0.000011299501,0.000018047049,0.0002481875,0.000038133676,0.000009743055,0.0002605074,0.00011145521,0.014920871,0.0016773666,0.9742663,0.008402696,0.00003543571],"about_ca_topic_score_codex":0.0010686871,"about_ca_topic_score_gemma":0.0010747893,"teacher_disagreement_score":0.024666138,"about_ca_system_score_codex":0.0018278456,"about_ca_system_score_gemma":0.0006331402,"threshold_uncertainty_score":0.08251643},"labels":[],"label_agreement":null},{"id":"W2794822170","doi":"10.3934/amc.2019012","title":"On the security of the WOTS-PRF signature scheme","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics of Communications","topic":"Advanced Algebra and Geometry","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":"Scheme (mathematics); Mathematics; Signature (topology); Security analysis; Computer security; Computer science; Mathematical analysis; Geometry","score_opus":0.033584223373891185,"score_gpt":0.35752119573577834,"score_spread":0.3239369723618872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794822170","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21874495,0.001546149,0.69008386,0.010394744,0.0006881394,0.000300057,0.0008806081,0.0014021987,0.075959325],"genre_scores_gemma":[0.9134542,0.0012690347,0.07558559,0.00073136523,0.00034604257,0.00015082042,0.00040600298,0.00019444784,0.007862403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99320835,0.0012154874,0.00043527794,0.0009945077,0.0029614656,0.0011849811],"domain_scores_gemma":[0.9888552,0.004952288,0.0007919521,0.0040528537,0.0010353219,0.00031233628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0065988363,0.0011305166,0.0015006542,0.0021966165,0.002892824,0.0042846324,0.0019407036,0.003164512,0.0056547364],"category_scores_gemma":[0.02016492,0.0006982879,0.00177769,0.0026500723,0.011930031,0.0199055,0.0062343394,0.007211204,0.0018889388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012736549,0.000015935719,0.00021353562,0.000055126682,0.000011320601,0.00011880356,0.00026558622,0.0037600629,0.0013790696,0.98614943,0.00078192004,0.0071216836],"study_design_scores_gemma":[0.000036202964,0.00003713774,0.00014000098,0.000053210446,0.000016817488,0.00016090674,0.00006434616,0.014136061,0.0031249456,0.97801363,0.0041679353,0.00004872533],"about_ca_topic_score_codex":0.001938909,"about_ca_topic_score_gemma":0.00064669375,"teacher_disagreement_score":0.0065988363,"about_ca_system_score_codex":0.0032663236,"about_ca_system_score_gemma":0.002853135,"threshold_uncertainty_score":0.03489834},"labels":[],"label_agreement":null},{"id":"W2798115745","doi":"10.1016/j.aim.2022.108368","title":"Differential operators on G/U and the Gelfand-Graev action","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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; Engineering Research Centers; National Science Foundation","keywords":"Mathematics; Algebraic group; Unipotent; Cotangent bundle; Differential operator; Pure mathematics; Reductive group; Affine variety; Langlands dual group; Algebra over a field; Automorphism; Weyl algebra; Algebraic number; Affine transformation; Group theory; Mathematical analysis; Trigonometric functions","score_opus":0.023821842425487353,"score_gpt":0.3264882340278151,"score_spread":0.3026663916023278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2798115745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5467534,0.010597487,0.1002152,0.011329108,0.0020042642,0.000097526034,0.00040500457,0.000630824,0.32796726],"genre_scores_gemma":[0.95220804,0.002370823,0.013795141,0.00094500097,0.0010794185,0.00006917366,0.00015430896,0.00011372181,0.029264422],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994837,0.00016697591,0.000021227694,0.00006901992,0.00015495722,0.00010410463],"domain_scores_gemma":[0.9993181,0.0001744431,0.00012738234,0.000045633584,0.00011205649,0.00022231984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010132713,0.0011422314,0.0010610168,0.004158923,0.002112612,0.0025681122,0.0010403146,0.0019051435,0.0055891005],"category_scores_gemma":[0.0018995989,0.00033811753,0.0008220362,0.0014344567,0.004128383,0.003373977,0.0026138893,0.0023893565,0.000852455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000130681265,0.000008290966,0.00004853995,0.000011291825,0.0000038248145,0.000059327318,0.000084456966,0.00029865708,0.0002980604,0.9973393,0.00042903837,0.0014061786],"study_design_scores_gemma":[0.00001154069,0.000011268331,0.000106838386,0.000009731072,0.0000029109922,0.00009832703,0.000055344517,0.0018910432,0.00012583981,0.99633837,0.0013406754,0.000008113821],"about_ca_topic_score_codex":0.0019072562,"about_ca_topic_score_gemma":0.0011363567,"teacher_disagreement_score":0.0055891005,"about_ca_system_score_codex":0.0017866623,"about_ca_system_score_gemma":0.0009814186,"threshold_uncertainty_score":0.018697381},"labels":[],"label_agreement":null},{"id":"W2798511459","doi":"10.4310/cntp.2020.v14.n2.a1","title":"Quantum Langlands dualities of boundary conditions, $D$-modules, and conformal blocks","year":2020,"lang":"en","type":"preprint","venue":"Communications in Number Theory and Physics","topic":"Advanced Algebra and Geometry","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":"Langlands program; Vertex (graph theory); Pure mathematics; Gauge theory; Mathematics; Duality (order theory); Lie conformal algebra; Lie algebra; Algebra over a field; Physics; Discrete mathematics; Mathematical physics; Conjecture","score_opus":0.05800111599015849,"score_gpt":0.36334161006284943,"score_spread":0.3053404940726909,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2798511459","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49458915,0.01678509,0.20066948,0.004303462,0.0012962293,0.00011040284,0.000353447,0.00024286531,0.2816499],"genre_scores_gemma":[0.9529266,0.004164304,0.025260894,0.0006026662,0.0007698219,0.00006910494,0.00013616834,0.00007228488,0.01599815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963105,0.0001000848,0.00002622562,0.00007371378,0.00009323601,0.00007576991],"domain_scores_gemma":[0.999686,0.000110141766,0.00005127473,0.000045429755,0.000050952814,0.00005618971],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073553855,0.00040630845,0.000448667,0.0016752151,0.0013109684,0.0023327232,0.0006520859,0.000856766,0.0038070143],"category_scores_gemma":[0.00091781653,0.00029010553,0.000687902,0.0009190163,0.0036551496,0.003988079,0.0011966223,0.0015172911,0.0006342288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003483756,0.00000670076,0.00009100349,0.000018284414,0.0000012415413,0.00003632796,0.00010089455,0.00022667699,0.00044794983,0.99686784,0.00021642832,0.0019831595],"study_design_scores_gemma":[0.0000037965956,0.000018015005,0.00025589898,0.000027482862,0.0000035568703,0.00019796946,0.000069149915,0.0016938549,0.0007057614,0.9881098,0.0089024445,0.0000122246975],"about_ca_topic_score_codex":0.000404716,"about_ca_topic_score_gemma":0.0003780678,"teacher_disagreement_score":0.0038070143,"about_ca_system_score_codex":0.000805821,"about_ca_system_score_gemma":0.00037676014,"threshold_uncertainty_score":0.012735724},"labels":[],"label_agreement":null},{"id":"W2800889720","doi":"10.1515/jgth-2018-0151","title":"Clifford theory of Weil representations of unitary groups","year":2019,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Hermitian matrix; Discrete valuation ring; Induced representation; Quotient; Pure mathematics; Abelian group; Residue field; Combinatorics; Unitary state; Unitary representation; Irreducible representation; Field (mathematics); Lie group","score_opus":0.03857105563892796,"score_gpt":0.3316593978542576,"score_spread":0.29308834221532964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2800889720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62934643,0.0014168294,0.070194185,0.0033626813,0.0008098553,0.00008557582,0.0002477233,0.0004115478,0.2941251],"genre_scores_gemma":[0.97793454,0.0002295234,0.002828205,0.00021341235,0.00030282035,0.000028950612,0.00007517106,0.000038002854,0.0183493],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990421,0.00015931216,0.000039789502,0.00013093617,0.00027321026,0.00035459534],"domain_scores_gemma":[0.99926883,0.00016805642,0.00009613227,0.00011020358,0.00012492608,0.0002318661],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093538756,0.00060015044,0.0006635889,0.0017091524,0.002020252,0.0035401883,0.0007138216,0.00095066335,0.008784006],"category_scores_gemma":[0.0018812446,0.00025988175,0.00069852883,0.0010223064,0.0027858338,0.003794351,0.0022613797,0.0014913554,0.0008410328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015797732,0.000018378809,0.000094505325,0.000009290738,0.000002105852,0.00005104519,0.00016467016,0.0002542673,0.00028162944,0.99632555,0.00060092955,0.0021816702],"study_design_scores_gemma":[0.000014555998,0.000023626762,0.00014010421,0.000012110164,0.0000031330462,0.000046855508,0.00013064254,0.003056179,0.00047756286,0.99349535,0.002591598,0.000008296051],"about_ca_topic_score_codex":0.0012627826,"about_ca_topic_score_gemma":0.0006696318,"teacher_disagreement_score":0.008784006,"about_ca_system_score_codex":0.0019221003,"about_ca_system_score_gemma":0.0008367603,"threshold_uncertainty_score":0.029385388},"labels":[],"label_agreement":null},{"id":"W2804384081","doi":"10.1090/tran/8314","title":"Familles de formes modulaires de Drinfeld pour le groupe général linéaire","year":2020,"lang":"fi","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"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":"Hecke algebra; Ergodic theory; Number theory; Algebraic number field; Probability theory","score_opus":0.021396766994509948,"score_gpt":0.2746995772817743,"score_spread":0.25330281028726437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2804384081","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30850166,0.0029064126,0.41399106,0.002182572,0.0008601435,0.0002125495,0.004153106,0.0025696754,0.26462278],"genre_scores_gemma":[0.560232,0.002654039,0.20095983,0.00051018473,0.00056415837,0.00062235224,0.006002758,0.0019090237,0.22654563],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99773115,0.00035692722,0.00012851758,0.0006207735,0.000805163,0.00035740683],"domain_scores_gemma":[0.9968154,0.0010267509,0.000399919,0.00054694805,0.000879936,0.00033108905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00207305,0.001984398,0.0012606533,0.004869658,0.0037808174,0.0036708605,0.0015049314,0.0015740357,0.02444741],"category_scores_gemma":[0.0063761645,0.000855253,0.0019170948,0.0033060594,0.0037079363,0.004834326,0.0023798496,0.004258552,0.0093596475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015825602,0.000049851307,0.0042159758,0.0001141983,0.00005364979,0.00047513112,0.0014917665,0.0017235399,0.0019535408,0.92331076,0.012415394,0.05403792],"study_design_scores_gemma":[0.00011752002,0.00014372337,0.00786492,0.0001598809,0.00009547616,0.0033104245,0.002662954,0.011914932,0.006536046,0.67016107,0.29679623,0.00023679735],"about_ca_topic_score_codex":0.011676303,"about_ca_topic_score_gemma":0.016393103,"teacher_disagreement_score":0.02444741,"about_ca_system_score_codex":0.0035361669,"about_ca_system_score_gemma":0.0010981314,"threshold_uncertainty_score":0.081784725},"labels":[],"label_agreement":null},{"id":"W2805501994","doi":"10.5539/jmr.v10n4p62","title":"Irreducible Unitary Representations Concerning Homogeneous Holomorphic Line Bundles Over Elliptic Orbits","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Algebra and Geometry","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":"Mathematics; Holomorphic function; Vector bundle; Line bundle; Pure mathematics; Associated bundle; Unitary state; Lie group; (g,K)-module; Unitary group; Unitary representation; Representation (politics); Irreducible representation; Adjoint representation; Representation theory; Normal bundle; Frame bundle; Adjoint representation of a Lie algebra","score_opus":0.26037130492432803,"score_gpt":0.4775269268627782,"score_spread":0.21715562193845017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2805501994","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91813076,0.000315267,0.0591225,0.00038425685,0.0000837311,0.000023422544,0.000066767265,0.00010127078,0.021772001],"genre_scores_gemma":[0.99284416,0.00017264456,0.003218863,0.000037499904,0.000081703,0.000010106852,0.000045016714,0.000018413066,0.0035715874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946815,0.00009761403,0.000025686679,0.00008221195,0.0001574926,0.00016881898],"domain_scores_gemma":[0.9995252,0.00008611507,0.00013062435,0.00006471007,0.00006361989,0.00012982605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004971936,0.0005052981,0.00039791217,0.001058017,0.0010950988,0.0018833607,0.00046065505,0.0007393397,0.0028575829],"category_scores_gemma":[0.0011966982,0.0002038938,0.0004695746,0.00072933856,0.0024567612,0.0027052872,0.0018104169,0.0010302647,0.00025050994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026135422,0.000035046745,0.00042129014,0.000024669895,0.0000061427086,0.000397172,0.00060903974,0.0014498875,0.004237253,0.98830765,0.00023942887,0.004246379],"study_design_scores_gemma":[0.00003468929,0.000099299745,0.0008976518,0.000024319414,0.000013533882,0.00047941555,0.0007469072,0.019295875,0.0034847404,0.9721805,0.002715837,0.00002715934],"about_ca_topic_score_codex":0.00046164653,"about_ca_topic_score_gemma":0.00026583028,"teacher_disagreement_score":0.0028575829,"about_ca_system_score_codex":0.0005835079,"about_ca_system_score_gemma":0.00031099867,"threshold_uncertainty_score":0.009559631},"labels":[],"label_agreement":null},{"id":"W2810114378","doi":"10.1063/1.5030863","title":"Geometry of Calogero-Moser systems","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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":"Integrable system; Moduli space; Trigonometry; Mathematics; Context (archaeology); Abelian group; Elliptic curve; Algebra over a field; Pure mathematics; Variety (cybernetics); Interpretation (philosophy); Abelian variety; Realization (probability); Geometry; Mathematical analysis; Computer science","score_opus":0.04713414321464328,"score_gpt":0.3346929552272485,"score_spread":0.28755881201260525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2810114378","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85493904,0.00049612415,0.020500569,0.00087232795,0.000070368354,0.000028895094,0.0001313863,0.00008690774,0.12287453],"genre_scores_gemma":[0.9897842,0.00015736795,0.0021810913,0.000046769826,0.00005283043,0.000014448395,0.00006169927,0.000014271706,0.007687303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997334,0.000049763177,0.000011763138,0.00006111153,0.000084515465,0.000059425623],"domain_scores_gemma":[0.9998049,0.000034658,0.000042663905,0.000026471376,0.00003831457,0.000053074316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033058296,0.0002773278,0.0003281679,0.0011853798,0.0010293027,0.0018034412,0.00038431518,0.00067849626,0.003896092],"category_scores_gemma":[0.0006379277,0.00015418963,0.00024763652,0.00047538412,0.0017520555,0.0023011062,0.0012725258,0.0007148311,0.00046874702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000070143674,0.000004808906,0.00015077731,0.000005174083,0.0000016141386,0.000058857073,0.00011828937,0.00057065365,0.0007590128,0.9974017,0.00015328935,0.0007688693],"study_design_scores_gemma":[0.000022271333,0.000029837147,0.0009389297,0.000011626794,0.0000059364083,0.00022181429,0.00027750252,0.008345855,0.000928086,0.9845242,0.004681589,0.000012322199],"about_ca_topic_score_codex":0.000640791,"about_ca_topic_score_gemma":0.0003995514,"teacher_disagreement_score":0.003896092,"about_ca_system_score_codex":0.0008810288,"about_ca_system_score_gemma":0.00027503123,"threshold_uncertainty_score":0.013033688},"labels":[],"label_agreement":null},{"id":"W2810821919","doi":"10.5802/alco.66","title":"Some combinatorial identities appearing in the calculation of the cohomology of Siegel modular varieties","year":2019,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"École Normale Supérieure de Lyon; Université de Lyon; Agence Nationale de la Recherche; École Normale Supérieure; Simons Foundation","keywords":"Siegel modular form; Cohomology; Mathematics; Modular design; Pure mathematics; Algebra over a field; Shimura variety; Modular form; Computer science; Programming language","score_opus":0.014314607763762746,"score_gpt":0.2613339573421286,"score_spread":0.24701934957836585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2810821919","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5297024,0.0013935661,0.37701237,0.0018306931,0.0006587909,0.00016248124,0.000285079,0.00034986655,0.08860471],"genre_scores_gemma":[0.9096336,0.0008437911,0.0668653,0.00024973243,0.00050609536,0.0001311751,0.00028411235,0.00022294618,0.021263415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991391,0.00022130598,0.000054232896,0.00012423437,0.00033481308,0.00012632672],"domain_scores_gemma":[0.9992107,0.00035926528,0.00010043523,0.00012240658,0.00009087111,0.000116333256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001789654,0.00089796155,0.00072436006,0.0024657839,0.001806779,0.0035083715,0.0020190696,0.0012182369,0.006634227],"category_scores_gemma":[0.0044645467,0.00040108894,0.0008780299,0.002246656,0.0030814633,0.006125596,0.0022895029,0.001913273,0.0012174562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004013989,0.00006782479,0.0016730579,0.00008976889,0.000010408532,0.0005441589,0.0004338138,0.0033340133,0.0013727777,0.9752364,0.00097490096,0.016222786],"study_design_scores_gemma":[0.000014691412,0.000043450786,0.0015456663,0.000038226925,0.00002038184,0.0005035352,0.00035972567,0.02352876,0.0045190547,0.9662955,0.003083261,0.000047848178],"about_ca_topic_score_codex":0.0004370427,"about_ca_topic_score_gemma":0.0006550739,"teacher_disagreement_score":0.006634227,"about_ca_system_score_codex":0.000826907,"about_ca_system_score_gemma":0.00057757844,"threshold_uncertainty_score":0.02219373},"labels":[],"label_agreement":null},{"id":"W283802225","doi":"10.4171/dms/5/4","title":"Variations on a Theme of Groups Splitting by a Quadratic Extension and Grothendieck-Serre Conjecture for Group Schemes $F_4$ with Trivial $g_3$ Invariant","year":2010,"lang":"en","type":"book-chapter","venue":"Documenta mathematica series","topic":"Advanced Algebra and Geometry","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; Conjecture; Invariant (physics); Quadratic equation; Extension (predicate logic); Pure mathematics; Ring (chemistry); Combinatorics; Discrete mathematics; Computer science; Geometry; Mathematical physics","score_opus":0.020566103836491764,"score_gpt":0.2738502208431633,"score_spread":0.2532841170066715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W283802225","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7050873,0.006957169,0.045020875,0.004054072,0.0005864063,0.0000698684,0.0003051594,0.00023136033,0.23768772],"genre_scores_gemma":[0.9560804,0.0013297743,0.007214615,0.00019590344,0.00036331287,0.000026011654,0.00019730798,0.000050416587,0.034542248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977404,0.000052539475,0.00000827429,0.00005985782,0.0000654462,0.000039974195],"domain_scores_gemma":[0.9997161,0.000091911956,0.00004952158,0.000045771812,0.000036529134,0.000060084145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004486805,0.0005053366,0.00044607822,0.0011481822,0.0012567502,0.0016546493,0.0005223697,0.00061897293,0.0059617576],"category_scores_gemma":[0.0009124811,0.00025790732,0.00049614965,0.00087951863,0.002595907,0.0037144984,0.0015825318,0.0016031082,0.0006243733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034581728,0.000019570583,0.0007080669,0.00005021066,0.000007912678,0.00024408691,0.0007864237,0.00070947595,0.0019513203,0.9885262,0.0016700972,0.0052921074],"study_design_scores_gemma":[0.000017735185,0.000069926406,0.002523357,0.000028645622,0.000018112594,0.0006933309,0.0005267136,0.0036537368,0.0016336088,0.97256327,0.018252611,0.000018951956],"about_ca_topic_score_codex":0.00063280447,"about_ca_topic_score_gemma":0.00049729075,"teacher_disagreement_score":0.0059617576,"about_ca_system_score_codex":0.0011572631,"about_ca_system_score_gemma":0.0002739279,"threshold_uncertainty_score":0.019944012},"labels":[],"label_agreement":null},{"id":"W2883000798","doi":"","title":"Spherical Fourier transforms of the Berezin kernels on symmetric Siegel domains","year":2006,"lang":"en","type":"article","venue":"RIMS Kokyuroku","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Mathematical analysis; Fourier transform; Fourier analysis; Pure mathematics","score_opus":0.016516345848440177,"score_gpt":0.2686204018384859,"score_spread":0.2521040559900457,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883000798","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68725145,0.0010895284,0.22437055,0.001376922,0.00042559035,0.00007057674,0.00032056324,0.00036014098,0.08473474],"genre_scores_gemma":[0.9502238,0.0008789612,0.015765956,0.00023367061,0.00037543618,0.000051865754,0.00026792384,0.00022645497,0.031975966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962974,0.0000954806,0.000015973523,0.000055167737,0.00012301894,0.00008071056],"domain_scores_gemma":[0.9993623,0.00013369831,0.00009964965,0.000095254545,0.00014240474,0.00016686489],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068257574,0.00084641285,0.000723819,0.00240889,0.0006581022,0.0016539595,0.0010518859,0.0010188406,0.00551964],"category_scores_gemma":[0.0023787618,0.00031279083,0.00069025985,0.0009008332,0.001797527,0.0029257024,0.0015213296,0.0019156045,0.000997598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040200688,0.000015767395,0.0001288282,0.000026105801,0.000005991013,0.00008067546,0.00016748146,0.0016810762,0.0028432247,0.99062145,0.00050587975,0.0038832822],"study_design_scores_gemma":[0.000024476798,0.000040667193,0.0012689638,0.000027643317,0.000013971699,0.0004770053,0.00032880047,0.04805817,0.0026122122,0.9443423,0.002749173,0.000056581124],"about_ca_topic_score_codex":0.00084112777,"about_ca_topic_score_gemma":0.00055575214,"teacher_disagreement_score":0.00551964,"about_ca_system_score_codex":0.00069099374,"about_ca_system_score_gemma":0.00052364636,"threshold_uncertainty_score":0.018464983},"labels":[],"label_agreement":null},{"id":"W2883314273","doi":"10.71781/16964","title":"Étude de physique au-delà du Modèle Standard dans les désintégrations B→πK","year":2018,"lang":"fr","type":"dissertation","venue":"Papyrus : Institutional Repository (Université de Montréal)","topic":"Advanced Algebra and Geometry","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":"Physics; Humanities; Philosophy","score_opus":0.009956028067409391,"score_gpt":0.20823420049861874,"score_spread":0.19827817243120935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883314273","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8285192,0.0020924462,0.121509805,0.0010411842,0.00023124421,0.000048040307,0.0010672961,0.0012663038,0.044224467],"genre_scores_gemma":[0.9770718,0.0006048633,0.012973226,0.00012171513,0.00003298694,0.00007137087,0.00070624764,0.00039107248,0.008026762],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992829,0.00017566446,0.00001747034,0.00017287344,0.0002438627,0.00010725217],"domain_scores_gemma":[0.99791795,0.0009624363,0.00024071032,0.00041462306,0.00033563655,0.00012877697],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017965006,0.0007903539,0.000799744,0.0009135072,0.0011636767,0.0019366146,0.0015325244,0.0011823361,0.00876475],"category_scores_gemma":[0.0038408977,0.0006588983,0.0015390231,0.0016038624,0.0011670681,0.0028116086,0.00091144233,0.0017472534,0.0010099515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001622168,0.00036925235,0.028035741,0.0011338585,0.00044051107,0.0008615828,0.0020884944,0.18686286,0.051966336,0.6739262,0.005059801,0.04763324],"study_design_scores_gemma":[0.00050246425,0.0003788692,0.029371323,0.00017221106,0.00026604816,0.00050712714,0.00066529395,0.67580795,0.03838657,0.23281427,0.020854395,0.00027344935],"about_ca_topic_score_codex":0.01052992,"about_ca_topic_score_gemma":0.011074014,"teacher_disagreement_score":0.01052992,"about_ca_system_score_codex":0.0016924266,"about_ca_system_score_gemma":0.0013245789,"threshold_uncertainty_score":0.029321015},"labels":[],"label_agreement":null},{"id":"W2885232762","doi":"10.1080/14029251.2018.1503398","title":"Composition of Lie Group Elements from Basis Lie Algebra Elements","year":2018,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple Lie group; Graded Lie algebra; Algebra over a field; Lie group; Representation of a Lie group; Lie superalgebra; Basis (linear algebra); Pure mathematics; Adjoint representation; Lie conformal algebra; Lie algebra; Group (periodic table); Affine Lie algebra; Adjoint representation of a Lie algebra; Lie theory; Current algebra; Geometry; Physics","score_opus":0.034884559303348495,"score_gpt":0.3266859266590365,"score_spread":0.291801367355688,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2885232762","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.099691115,0.0003544351,0.7993031,0.00035643775,0.00039970086,0.00025295667,0.00014066088,0.00066933304,0.09883219],"genre_scores_gemma":[0.49342355,0.00072064984,0.46534607,0.00024098906,0.00021760318,0.000299585,0.00042996934,0.0007202637,0.03860141],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992567,0.00020417011,0.000043315882,0.00011518363,0.00028264665,0.00009795404],"domain_scores_gemma":[0.9997745,0.000047501075,0.000027032484,0.000054502285,0.0000603979,0.000036022266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007789477,0.0006413962,0.00057328894,0.00095177005,0.001104462,0.0016617902,0.0007156231,0.0005515542,0.009125181],"category_scores_gemma":[0.0011128687,0.0004298308,0.0010382581,0.00049270806,0.0018481261,0.0023063845,0.0016444502,0.00135007,0.0031823295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015777008,0.000018105933,0.00008937808,0.000054495224,0.000012333627,0.00010712367,0.00029005954,0.0016504194,0.0036909939,0.9826717,0.00069850805,0.010701196],"study_design_scores_gemma":[0.000017223658,0.00005010284,0.00011423964,0.000025715162,0.000013276779,0.00021998564,0.00020718366,0.013486997,0.0077106906,0.9538011,0.024334934,0.000018473263],"about_ca_topic_score_codex":0.000357948,"about_ca_topic_score_gemma":0.0005364011,"teacher_disagreement_score":0.009125181,"about_ca_system_score_codex":0.00047900242,"about_ca_system_score_gemma":0.00061671843,"threshold_uncertainty_score":0.030526757},"labels":[],"label_agreement":null},{"id":"W2885432684","doi":"","title":"Focusing on symmetry characterization theorems for homogeneous Siegel domains","year":2010,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Homogeneous; Characterization (materials science); Symmetry (geometry); Mathematics; Physics; Combinatorics; Geometry","score_opus":0.020942466546179053,"score_gpt":0.305834923775712,"score_spread":0.28489245722953294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2885432684","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24319199,0.005407203,0.54875743,0.0022117535,0.00061389105,0.00015651825,0.00041390394,0.0002050402,0.19904225],"genre_scores_gemma":[0.9139754,0.003080893,0.052778706,0.0005755007,0.0005036865,0.00009885322,0.0004112212,0.00009733057,0.028478427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947685,0.000143162,0.000027445089,0.00011902971,0.0001454083,0.00008817474],"domain_scores_gemma":[0.9989831,0.0004804126,0.00010958316,0.0001266033,0.00022652671,0.00007384733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012860899,0.00073567795,0.00053498166,0.0018785758,0.00083205214,0.0014932873,0.0006313433,0.00053142256,0.0039500473],"category_scores_gemma":[0.002332194,0.00022007003,0.0008505219,0.0010121694,0.0026884174,0.00473478,0.0018017293,0.0020453657,0.00066237384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007872384,0.000007843398,0.00010335927,0.00004981154,0.0000045634656,0.000053364154,0.00011189165,0.0004547359,0.0010260517,0.9943626,0.000455919,0.0033620037],"study_design_scores_gemma":[0.000012919699,0.000039335897,0.00038851972,0.000024167255,0.000009597901,0.00020763431,0.00014606725,0.005367335,0.0038334057,0.9809599,0.0089938035,0.00001729239],"about_ca_topic_score_codex":0.0005959027,"about_ca_topic_score_gemma":0.0003315987,"teacher_disagreement_score":0.0039500473,"about_ca_system_score_codex":0.0011028302,"about_ca_system_score_gemma":0.00041488052,"threshold_uncertainty_score":0.01321429},"labels":[],"label_agreement":null},{"id":"W2887756400","doi":"10.1093/imrn/rnz125","title":"Adjoint<i>L</i>-Functions for GL(3) and U2,1","year":2019,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"National Natural Science Foundation of China; National Security Agency; Pacific Institute for the Mathematical Sciences","keywords":"Holomorphic function; Unitary state; Mathematics; Pure mathematics; Base change; Representation (politics); Group (periodic table); Field (mathematics); Base (topology); Function (biology); Algebra over a field; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.1586935868904955,"score_gpt":0.4702009508781363,"score_spread":0.3115073639876408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2887756400","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9078585,0.00022012652,0.05670738,0.0005357177,0.00012837515,0.000017390066,0.00006232393,0.00026465787,0.03420558],"genre_scores_gemma":[0.99193174,0.00008886691,0.0031229348,0.000082993436,0.00004431541,0.000010784421,0.000031088748,0.00006126717,0.0046259807],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984205,0.000033833585,0.0000056511785,0.00002021604,0.000037135364,0.00006114552],"domain_scores_gemma":[0.9997887,0.00004706642,0.000038369675,0.000024076617,0.000032312048,0.000069443005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038741756,0.00057641364,0.00029460917,0.0013883011,0.0009071083,0.0016318774,0.00049063965,0.00066954567,0.0042782146],"category_scores_gemma":[0.00068639807,0.00015649454,0.0004942403,0.00048325217,0.0018970355,0.0013296853,0.0010130975,0.0010329364,0.00079044234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000956054,0.000045200053,0.0007517001,0.000038317205,0.000005431452,0.00047327433,0.0005558408,0.0024775323,0.008489353,0.9742109,0.00080119807,0.012055554],"study_design_scores_gemma":[0.000031520645,0.00007970233,0.0016659979,0.000034867553,0.00001102228,0.00068280083,0.0004739141,0.040172614,0.009349775,0.94228286,0.0051564137,0.000058451496],"about_ca_topic_score_codex":0.0006164793,"about_ca_topic_score_gemma":0.00037548708,"teacher_disagreement_score":0.0042782146,"about_ca_system_score_codex":0.00065154943,"about_ca_system_score_gemma":0.0003037795,"threshold_uncertainty_score":0.014312029},"labels":[],"label_agreement":null},{"id":"W2888990764","doi":"10.1007/s00222-018-0839-4","title":"Green forms and the arithmetic Siegel–Weil formula","year":2018,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Advanced Algebra and Geometry","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":"University of Winnipeg; University of Manitoba; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto; University of Manitoba","keywords":"Mathematics; Conjecture; Unitary state; Shimura variety; Pure mathematics; Type (biology); Algebra over a field; Arithmetic; Modular form","score_opus":0.03248289191194442,"score_gpt":0.31060329953206917,"score_spread":0.27812040762012474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2888990764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48835775,0.004810522,0.12822545,0.011166253,0.0012225738,0.000049101116,0.00028147863,0.0005496052,0.36533725],"genre_scores_gemma":[0.93877584,0.0014827448,0.013278835,0.0007263261,0.0008494881,0.000040206825,0.00012851479,0.00012814153,0.044589832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996325,0.00011110675,0.000014839882,0.00004589535,0.00012908451,0.00006654911],"domain_scores_gemma":[0.99948514,0.00018078685,0.00007315541,0.00006171899,0.000089222594,0.00010999306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008819754,0.0008416806,0.00071837025,0.0028501088,0.0016435268,0.0030103663,0.00075581105,0.001199578,0.006334409],"category_scores_gemma":[0.0025046363,0.00034677522,0.00058319705,0.0017688408,0.004205124,0.0052293725,0.0025383558,0.0028047988,0.0010112755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005876869,0.000004130657,0.000050631574,0.0000055063274,0.000001987993,0.000015811687,0.00006360059,0.00019137954,0.00014574977,0.9973968,0.00040792883,0.0017104894],"study_design_scores_gemma":[0.0000034377092,0.0000034809,0.00006613135,0.000003232609,0.0000016184262,0.000026581856,0.000025919673,0.0006857852,0.00007536961,0.99808925,0.001015579,0.0000037002217],"about_ca_topic_score_codex":0.0008895577,"about_ca_topic_score_gemma":0.00065662496,"teacher_disagreement_score":0.006334409,"about_ca_system_score_codex":0.0011781977,"about_ca_system_score_gemma":0.00066613674,"threshold_uncertainty_score":0.021190643},"labels":[],"label_agreement":null},{"id":"W2889213927","doi":"10.4171/dm/711","title":"On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces","year":2019,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Equivariant map; Equivariant cohomology; Cohomology; Pure mathematics; Algebra over a field","score_opus":0.04745653537443981,"score_gpt":0.3313805902658564,"score_spread":0.2839240548914166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2889213927","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8881685,0.0013220443,0.036107466,0.00095527264,0.00022241793,0.00002043814,0.00015272952,0.00011227595,0.072938755],"genre_scores_gemma":[0.9894134,0.0007694121,0.001802523,0.00008057785,0.00027266596,0.000009547821,0.00009585515,0.000026152511,0.0075298483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996449,0.000077027995,0.000013699619,0.0000677549,0.00010741285,0.00008930335],"domain_scores_gemma":[0.9993191,0.00019672755,0.00013039591,0.00008371675,0.00008695193,0.00018307581],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043271872,0.0006988125,0.0004729498,0.0016421691,0.0007491009,0.0014863937,0.0005729293,0.00043483937,0.0070917327],"category_scores_gemma":[0.0010301386,0.0002062224,0.00033098157,0.0008511782,0.0022140066,0.0038491238,0.00250843,0.0010250825,0.0008845444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040503855,0.000032172207,0.0011342863,0.00007521372,0.000019687737,0.00037948458,0.00077008497,0.0017737022,0.0063889064,0.98147744,0.0006978841,0.0072106947],"study_design_scores_gemma":[0.0000142667095,0.000081555176,0.00336212,0.000026177659,0.000021637316,0.00047671652,0.00040586514,0.007300861,0.0030612564,0.980312,0.0049079955,0.000029554321],"about_ca_topic_score_codex":0.00038102886,"about_ca_topic_score_gemma":0.00028738816,"teacher_disagreement_score":0.0070917327,"about_ca_system_score_codex":0.00045679705,"about_ca_system_score_gemma":0.00021810769,"threshold_uncertainty_score":0.023724198},"labels":[],"label_agreement":null},{"id":"W2891012362","doi":"10.1090/ert/594","title":"Inverse Satake isomorphism and change of weight","year":2022,"lang":"lv","type":"preprint","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Isomorphism (crystallography); Hecke algebra; Inverse; Combinatorics; Group (periodic table); Finitely-generated abelian group; Algebra over a field; Pure mathematics; Geometry; Physics; Crystallography; Crystal structure; Quantum mechanics; Chemistry","score_opus":0.05753156384597664,"score_gpt":0.32923855513971656,"score_spread":0.27170699129373993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2891012362","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22281973,0.00069161365,0.14038777,0.0049874503,0.001800513,0.00014402297,0.00087647466,0.0018925101,0.62639993],"genre_scores_gemma":[0.8056878,0.0005473732,0.035077013,0.0016036809,0.0007725375,0.00016220933,0.0013068719,0.0014424961,0.15340003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840444,0.0002479965,0.000084010426,0.00045465594,0.0004762121,0.00033268973],"domain_scores_gemma":[0.99877304,0.0002673084,0.00009520055,0.0003215701,0.000362004,0.00018085819],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007300086,0.000651069,0.00075885124,0.002235631,0.0024712135,0.00298104,0.0010998809,0.0012645496,0.025116043],"category_scores_gemma":[0.0031806054,0.00043485014,0.0013466253,0.0011424228,0.002521025,0.007060729,0.0040079835,0.0031933372,0.0042973408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028805685,0.000027087313,0.00016673366,0.000023225864,0.00000664306,0.00008922874,0.00020059684,0.00021584082,0.00068233564,0.9884799,0.0031519209,0.006927769],"study_design_scores_gemma":[0.000015592934,0.000019146393,0.00023276528,0.000009505434,0.000007789981,0.00013993507,0.00012681905,0.0014470171,0.0015238009,0.9817479,0.014715821,0.00001372161],"about_ca_topic_score_codex":0.0017646049,"about_ca_topic_score_gemma":0.0019520248,"teacher_disagreement_score":0.025116043,"about_ca_system_score_codex":0.002270527,"about_ca_system_score_gemma":0.00075267005,"threshold_uncertainty_score":0.08402157},"labels":[],"label_agreement":null},{"id":"W2893378268","doi":"10.14288/1.0371242","title":"An introduction to modern enumerative geometry with applications to the banana manifold","year":2018,"lang":"en","type":"preprint","venue":"cIRcle (University of British Columbia)","topic":"Advanced Algebra and Geometry","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":"Equivariant map; Combinatorics; Genus; Fibered knot; Mathematics; Abelian group; Lift (data mining); Pure mathematics; Computer science; Botany","score_opus":0.01391995812306854,"score_gpt":0.23130231761027395,"score_spread":0.2173823594872054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2893378268","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020627914,0.15931834,0.21647245,0.02871521,0.015812816,0.00015686896,0.001361767,0.0013324207,0.5562022],"genre_scores_gemma":[0.23029485,0.1903079,0.13804732,0.011512608,0.029650617,0.0006019859,0.0019439638,0.0012494173,0.39639133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967325,0.000070365706,0.000021055204,0.000092559894,0.00009908876,0.00004376813],"domain_scores_gemma":[0.9997075,0.00013890286,0.000021185158,0.00003302525,0.0000609496,0.000038462913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006052767,0.0008463999,0.00059652235,0.0016176099,0.0014865432,0.0021011012,0.0008232657,0.0010260439,0.023719652],"category_scores_gemma":[0.0008490458,0.00042190476,0.0009077382,0.0019107478,0.0024036292,0.0035630066,0.0018505094,0.0042306273,0.0063631725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000108065215,0.000035683654,0.00019412793,0.00025764856,0.0000066782954,0.00008655706,0.0005273156,0.0006179006,0.0010236226,0.9282961,0.027273215,0.041670386],"study_design_scores_gemma":[0.0000044283224,0.00004268413,0.0005896668,0.0001980393,0.000006328862,0.00022382305,0.00012724522,0.00082003046,0.0003492947,0.47875452,0.51886654,0.000017391221],"about_ca_topic_score_codex":0.0008632755,"about_ca_topic_score_gemma":0.0007669707,"teacher_disagreement_score":0.023719652,"about_ca_system_score_codex":0.0015638176,"about_ca_system_score_gemma":0.00076623366,"threshold_uncertainty_score":0.079350114},"labels":[],"label_agreement":null},{"id":"W2895228254","doi":"10.1016/j.aim.2020.107152","title":"Stacky dualities for the moduli of Higgs bundles","year":2020,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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; University of Toronto","funders":"Ministry of Colleges and Universities; University of Toronto; National Science Foundation; Government of Canada; University of Texas at Austin; Institut Périmètre de physique théorique; Innovation, Science and Economic Development Canada","keywords":"Langlands dual group; Stack (abstract data type); Mathematics; Higgs boson; Conjecture; Moduli space; Quotient; Moduli; Cohomology; Modulo; Pure mathematics; Fibration; Combinatorics; Physics; Particle physics; Quantum mechanics","score_opus":0.07738032186877308,"score_gpt":0.3756382033840475,"score_spread":0.29825788151527444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2895228254","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6732795,0.0039471453,0.09559179,0.008763296,0.0011265409,0.00011044724,0.0007026821,0.0003064904,0.2161721],"genre_scores_gemma":[0.9440268,0.0014363608,0.012955621,0.0005727032,0.0014019544,0.00009300071,0.00039760873,0.00013431175,0.038981605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994185,0.00015151201,0.000040220686,0.00008794436,0.00018903113,0.00011266549],"domain_scores_gemma":[0.99907124,0.00022515765,0.00014922032,0.00008204728,0.00015919878,0.0003130599],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014533935,0.0012066172,0.00079229334,0.0050646504,0.0023150272,0.0048949583,0.00096895214,0.0018496565,0.010370583],"category_scores_gemma":[0.0025351427,0.0005487846,0.000931711,0.0016319831,0.0031023356,0.008651324,0.00396978,0.0035049855,0.00121914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018323486,0.000016957478,0.00011341025,0.000017107861,0.000004220587,0.00006198991,0.00012706361,0.00016467906,0.00046643653,0.9971818,0.0004668348,0.0013612352],"study_design_scores_gemma":[0.000013060118,0.000009906011,0.00020420659,0.000011935501,0.000004727387,0.00009502024,0.000092416056,0.0015822976,0.00021218415,0.9963613,0.001404655,0.000008327095],"about_ca_topic_score_codex":0.0006188517,"about_ca_topic_score_gemma":0.0006030081,"teacher_disagreement_score":0.010370583,"about_ca_system_score_codex":0.0016528803,"about_ca_system_score_gemma":0.00071537116,"threshold_uncertainty_score":0.034693062},"labels":[],"label_agreement":null},{"id":"W2895338660","doi":"10.1007/978-3-319-95231-4_2","title":"Distinguished Representations of Reductive p-Adic Groups","year":2018,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Invariant (physics); Pure mathematics; Algebra over a field; Mathematical physics","score_opus":0.03360866293559142,"score_gpt":0.31973055896252817,"score_spread":0.2861218960269367,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2895338660","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.103843175,0.0073260884,0.09769895,0.0046184547,0.0029760406,0.00006186119,0.00031126043,0.00043992442,0.78272414],"genre_scores_gemma":[0.6770247,0.005305464,0.019631961,0.0006912424,0.002103504,0.00008278529,0.00049053365,0.00024688998,0.29442292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996629,0.000086429805,0.000012423046,0.000054433505,0.00013183712,0.000052064697],"domain_scores_gemma":[0.9998066,0.000060841518,0.000017838602,0.00003489592,0.000037247828,0.000042463293],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041167715,0.0006940392,0.00035533123,0.0012599323,0.0010536475,0.0027729692,0.00072349596,0.0006370701,0.0064025167],"category_scores_gemma":[0.0008197462,0.00024203869,0.0003808329,0.0011716846,0.0023641922,0.003041037,0.0017543281,0.0021456094,0.0017920937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004831172,0.000003586376,0.000014658202,0.000012428905,0.0000012348747,0.000010364467,0.0001440832,0.00008715342,0.00025780557,0.9926911,0.0017673279,0.005005366],"study_design_scores_gemma":[0.000005696031,0.000006007791,0.00004237117,0.000008561673,0.0000017544834,0.00005579229,0.00006178318,0.00033599598,0.00022172829,0.9731399,0.026116792,0.0000035354376],"about_ca_topic_score_codex":0.00032794304,"about_ca_topic_score_gemma":0.00032893373,"teacher_disagreement_score":0.0064025167,"about_ca_system_score_codex":0.0012744495,"about_ca_system_score_gemma":0.0006113295,"threshold_uncertainty_score":0.021418571},"labels":[],"label_agreement":null},{"id":"W2895568660","doi":"10.1137/18m1207399","title":"The Eigenvalue Distribution of Special 2-by-2 Block Matrix-Sequences with Applications to the Case of Symmetrized Toeplitz Structures","year":2019,"lang":"en","type":"preprint","venue":"SIAM Journal on Matrix Analysis and Applications","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Toeplitz matrix; Eigenvalues and eigenvectors; Combinatorics; Mathematics; Matrix (chemical analysis); Unitary matrix; Sequence (biology); Character (mathematics); Locally integrable function; Permutation (music); Singular value; Pure mathematics; Integrable system; Unitary state; Physics; Quantum mechanics","score_opus":0.014631113978237964,"score_gpt":0.32983364037749735,"score_spread":0.3152025263992594,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2895568660","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32845303,0.00040901874,0.66229653,0.00037621037,0.00007888589,0.000053299646,0.00014788778,0.00024407187,0.007941064],"genre_scores_gemma":[0.9492881,0.00033284916,0.044608995,0.00007756867,0.000095263444,0.00009823981,0.00019420529,0.00008527217,0.005219525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996413,0.00012301507,0.000017689481,0.00006334399,0.00008222447,0.00007247763],"domain_scores_gemma":[0.9976482,0.0009855798,0.00048093373,0.00026867865,0.00037295508,0.00024366911],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009173231,0.0005638277,0.0004176857,0.00067880703,0.00036954434,0.0007288536,0.00062594924,0.00075109483,0.0032927683],"category_scores_gemma":[0.0031879826,0.0002569572,0.0003467316,0.00047018126,0.0015780479,0.0010797221,0.00077728677,0.0007130376,0.00049104245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002480187,0.00009603811,0.002353183,0.00013097918,0.00003433517,0.0010348186,0.00044789535,0.26351863,0.022551954,0.6897684,0.002428011,0.017387735],"study_design_scores_gemma":[0.000013162489,0.000041407715,0.000726813,0.000012070334,0.000004249266,0.0001503815,0.00006763252,0.8812545,0.0026866016,0.11425016,0.00076916104,0.000023819011],"about_ca_topic_score_codex":0.0012075865,"about_ca_topic_score_gemma":0.0010419853,"teacher_disagreement_score":0.0032927683,"about_ca_system_score_codex":0.0005441798,"about_ca_system_score_gemma":0.0004979479,"threshold_uncertainty_score":0.011015415},"labels":[],"label_agreement":null},{"id":"W2896483500","doi":"10.2140/ant.2022.16.2005","title":"Serre weight conjectures for p-adic unitarygroups of rank 2","year":2022,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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":"Association Neurofibromatoses et Recklinghause; Université de Montpellier; University of Toronto; Agence Nationale de la Recherche; National Science Foundation","keywords":"Mathematics; Galois module; Automorphic form; Rank (graph theory); Conjecture; Base change; Base (topology); Unitary state; Combinatorics; Group (periodic table); Unitary group; Field (mathematics); Pure mathematics; Mathematical analysis; Physics","score_opus":0.018589933294435177,"score_gpt":0.29565134991925274,"score_spread":0.27706141662481754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896483500","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8982994,0.00043798087,0.053119406,0.00094233744,0.00018038013,0.00003416417,0.00015315847,0.00018759107,0.04664566],"genre_scores_gemma":[0.99025834,0.00018725212,0.003548563,0.00015579762,0.0002469843,0.00003233173,0.0001509491,0.000030238314,0.0053895554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909437,0.00013997905,0.000036842634,0.00015224794,0.0003090249,0.000267537],"domain_scores_gemma":[0.99842995,0.000618767,0.0002598859,0.00024573517,0.00017605163,0.0002695699],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013562539,0.0009910983,0.00076461764,0.0020042276,0.001801551,0.0025568265,0.00075730955,0.0010890607,0.0050726915],"category_scores_gemma":[0.0041879076,0.00040907637,0.0009717484,0.0011591453,0.0031839998,0.0049410253,0.0027195378,0.0018043993,0.0006467285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000720285,0.000037061967,0.0014882697,0.00003138558,0.000011190448,0.00014466063,0.0003812647,0.0019644888,0.0014586032,0.9877201,0.000960928,0.005730048],"study_design_scores_gemma":[0.000026555708,0.00005618917,0.001006542,0.000018236944,0.0000117376685,0.00014363138,0.0001590082,0.010259035,0.001404146,0.98458153,0.0023128465,0.000020585247],"about_ca_topic_score_codex":0.00072813156,"about_ca_topic_score_gemma":0.00058449805,"teacher_disagreement_score":0.0050726915,"about_ca_system_score_codex":0.00096596015,"about_ca_system_score_gemma":0.00034902972,"threshold_uncertainty_score":0.0169698},"labels":[],"label_agreement":null},{"id":"W2897200622","doi":"10.1142/s1793042120500578","title":"Constructions of vector-valued modular forms of rank four and level one","year":2019,"lang":"en","type":"preprint","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Rank (graph theory); Modular form; Mathematics; Isomorphism (crystallography); Modular design; Pure mathematics; Modular group; Holomorphic function; Group (periodic table); Tensor (intrinsic definition); Differential (mechanical device); Weight; Algebra over a field; Representation (politics); Combinatorics; Computer science","score_opus":0.06466379810937513,"score_gpt":0.34208933738349495,"score_spread":0.27742553927411984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2897200622","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8424024,0.00030142505,0.09547048,0.00046026357,0.00017726846,0.00010618225,0.000103247534,0.00030121874,0.0606775],"genre_scores_gemma":[0.95451975,0.00017162356,0.031702157,0.000094987015,0.000071055336,0.000048431688,0.00008776556,0.0001223642,0.0131819965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953854,0.00010075863,0.000025535292,0.000054562483,0.00012906018,0.00015159107],"domain_scores_gemma":[0.99942243,0.00012863969,0.0001301233,0.000083842,0.00007171044,0.00016332859],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006285641,0.00066739554,0.0004639368,0.0017682229,0.00120769,0.001761183,0.00090435107,0.00066846434,0.0055266097],"category_scores_gemma":[0.001507933,0.000364503,0.0007049486,0.00066739554,0.002203801,0.0031163371,0.002245393,0.0013982899,0.000736748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002222995,0.000026716623,0.00034829168,0.000027588187,0.0000033799704,0.00025735982,0.000483681,0.00058919465,0.003312307,0.98951286,0.00029758923,0.005118863],"study_design_scores_gemma":[0.00002931005,0.00009116407,0.0004863609,0.000036198257,0.000012862895,0.0007865795,0.00041452618,0.0075657354,0.006527251,0.9762847,0.007729715,0.000035687866],"about_ca_topic_score_codex":0.00021041169,"about_ca_topic_score_gemma":0.00030032275,"teacher_disagreement_score":0.0055266097,"about_ca_system_score_codex":0.00082011573,"about_ca_system_score_gemma":0.00042577882,"threshold_uncertainty_score":0.018488348},"labels":[],"label_agreement":null},{"id":"W2898300476","doi":"10.48550/arxiv.1810.11901","title":"Uniqueness of certain Fourier-Jacobi models over finite fields","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Uniqueness; Fourier transform; Mathematics; Fourier series; Finite field; Mathematical analysis; Pure mathematics; Fourier analysis; Applied mathematics; Discrete mathematics","score_opus":0.13420134471711098,"score_gpt":0.24173925305508712,"score_spread":0.10753790833797613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898300476","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8254043,0.0006916819,0.1328297,0.002306548,0.00030824164,0.0000590036,0.0002166416,0.00018370988,0.038000107],"genre_scores_gemma":[0.9793084,0.00020857448,0.013143956,0.0002003526,0.000171812,0.00004270503,0.00017358562,0.000071098286,0.0066794455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990876,0.00020114885,0.000054431657,0.00021504048,0.00022259375,0.00021924161],"domain_scores_gemma":[0.99878925,0.00035681628,0.00022630549,0.00017167424,0.00020440301,0.00025146626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014506549,0.0005547498,0.00095061224,0.0015458424,0.0031509597,0.0026617178,0.0012742401,0.0020958749,0.0042833956],"category_scores_gemma":[0.0041665155,0.00048616523,0.0013791182,0.0005212521,0.003981328,0.006087566,0.0026318606,0.0024035699,0.0005021483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017573117,0.000015436464,0.0006121417,0.000020433248,0.00000740572,0.00015742268,0.0002279271,0.00069836975,0.0007102582,0.99615496,0.00030338368,0.0010747279],"study_design_scores_gemma":[0.000016283795,0.000020522157,0.0002835797,0.000017508924,0.000007956936,0.0003379826,0.000356074,0.007080182,0.00147773,0.9892314,0.0011499927,0.000020790201],"about_ca_topic_score_codex":0.0005865188,"about_ca_topic_score_gemma":0.00055127323,"teacher_disagreement_score":0.0042833956,"about_ca_system_score_codex":0.001233167,"about_ca_system_score_gemma":0.0010977606,"threshold_uncertainty_score":0.014329374},"labels":[],"label_agreement":null},{"id":"W2898536868","doi":"10.1142/s1793042119501215","title":"The Lindelöf class of L-functions II","year":2019,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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; Queen's University","funders":"","keywords":"Mathematics; Class (philosophy); Pure mathematics; Generalization; Ring (chemistry); Invariant (physics); Integer (computer science); Noetherian ring; Combinatorics; Discrete mathematics; Algebra over a field; Commutative property; Mathematical analysis","score_opus":0.014240190718038172,"score_gpt":0.31970595685273834,"score_spread":0.30546576613470017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898536868","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6403875,0.0033168944,0.08905218,0.0029864581,0.00043705432,0.00006950775,0.00039483816,0.00044746275,0.2629082],"genre_scores_gemma":[0.9770496,0.0005588899,0.004030985,0.0002109662,0.00032497977,0.000035539793,0.000125099,0.000044830464,0.017619055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993956,0.00009815582,0.000025385165,0.000139382,0.00016123372,0.00018033433],"domain_scores_gemma":[0.9991466,0.00031385059,0.00012159999,0.00008177504,0.000118462296,0.0002176801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077589066,0.0004478009,0.0005589201,0.0021213465,0.0018597319,0.0038682737,0.0006287903,0.0006712062,0.006269911],"category_scores_gemma":[0.0026181766,0.00024959876,0.000557385,0.00076971384,0.0031841993,0.0053895423,0.0012967323,0.0016219197,0.0010939992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047507838,0.000021051963,0.0005011929,0.000027537888,0.0000056728713,0.00004994706,0.00026594198,0.000368135,0.0009194466,0.9900287,0.00076646754,0.0069984477],"study_design_scores_gemma":[0.00003255968,0.000054554872,0.0013158538,0.000041524465,0.000012852224,0.00023271207,0.00022006089,0.005424668,0.0025856553,0.9761346,0.01390766,0.00003726512],"about_ca_topic_score_codex":0.001194267,"about_ca_topic_score_gemma":0.0004042477,"teacher_disagreement_score":0.006269911,"about_ca_system_score_codex":0.00252337,"about_ca_system_score_gemma":0.00087284023,"threshold_uncertainty_score":0.020974934},"labels":[],"label_agreement":null},{"id":"W2900154016","doi":"10.1142/s1793042120500141","title":"The arithmetic of vector-valued modular forms on Γ0(2)","year":2019,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"","keywords":"Modular form; Component (thermodynamics); Algebra over a field; Rank (graph theory); Fourier series; Dedekind cut; Dedekind eta function; Algebraic number; Ring (chemistry)","score_opus":0.013395443896279087,"score_gpt":0.32043779476676243,"score_spread":0.3070423508704833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900154016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80549747,0.0007345767,0.06932603,0.00094260095,0.00028600325,0.00007062041,0.00032796533,0.000287798,0.12252694],"genre_scores_gemma":[0.95563084,0.0005367216,0.01173234,0.00018207032,0.0003655531,0.00007926764,0.00030865407,0.00009805139,0.031066502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945706,0.00009707728,0.000024858526,0.0001196232,0.00017312368,0.00012819408],"domain_scores_gemma":[0.99932265,0.00020968892,0.00011822312,0.00006125864,0.00015608757,0.00013224296],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008049737,0.0011420301,0.0005325376,0.0027074406,0.001197846,0.0032722203,0.0012530963,0.0006946417,0.0073478334],"category_scores_gemma":[0.0023897532,0.00038962057,0.0005057809,0.0013414839,0.0029517398,0.0044288994,0.0020065487,0.0015001934,0.0015859584],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000759901,0.000022596596,0.0004677955,0.00006221693,0.000008139609,0.0001015296,0.00035117957,0.0011106028,0.002357699,0.98381674,0.0010872749,0.010538216],"study_design_scores_gemma":[0.000021190783,0.000055427725,0.0011535435,0.000041976364,0.000015048558,0.00020219125,0.00014827034,0.009031788,0.0024266192,0.9815656,0.0053021875,0.000036107842],"about_ca_topic_score_codex":0.0006834737,"about_ca_topic_score_gemma":0.000479667,"teacher_disagreement_score":0.0073478334,"about_ca_system_score_codex":0.0014372161,"about_ca_system_score_gemma":0.00052616023,"threshold_uncertainty_score":0.024580896},"labels":[],"label_agreement":null},{"id":"W2901189698","doi":"10.4310/cntp.2020.v14.n4.a3","title":"CHL Calabi–Yau threefolds: curve counting, Mathieu moonshine and Siegel modular forms","year":2020,"lang":"en","type":"preprint","venue":"Communications in Number Theory and Physics","topic":"Advanced Algebra and Geometry","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":"National Science Foundation","keywords":"Conjecture; Siegel modular form; Mathematics; Modular form; Quotient; Elliptic curve; Pure mathematics; Modular curve; Combinatorics; Partition function (quantum field theory); Physics; Quantum mechanics","score_opus":0.0638606308394345,"score_gpt":0.35849653846641366,"score_spread":0.29463590762697917,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2901189698","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9420182,0.00048090846,0.007906217,0.0013318085,0.00008025611,0.0000198537,0.00007614753,0.00009016151,0.04799639],"genre_scores_gemma":[0.9946355,0.00014326669,0.0010888034,0.00005214457,0.000054084292,0.000012222858,0.000057020334,0.000014717844,0.003942159],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997272,0.000049280676,0.0000127560525,0.000038124395,0.00009156852,0.00008106559],"domain_scores_gemma":[0.99943036,0.00017218415,0.000128467,0.000060158698,0.000051609597,0.00015721309],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054353493,0.0004926135,0.0005333687,0.0021746142,0.00185689,0.002891468,0.0007344612,0.0012685909,0.0049389764],"category_scores_gemma":[0.0019858151,0.0003368068,0.0006004022,0.0011413933,0.0031273968,0.0028470736,0.0017257022,0.0011220307,0.00034296943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003249072,0.000017865765,0.0012441907,0.000025312342,0.0000035735075,0.00014089119,0.0002696877,0.0026143978,0.0006665904,0.9917796,0.000765255,0.0024401473],"study_design_scores_gemma":[0.000031709595,0.000026605796,0.0020954579,0.00003722419,0.000011261767,0.0002658752,0.00043047534,0.032618962,0.0010665377,0.9609273,0.0024599815,0.000028691637],"about_ca_topic_score_codex":0.003577473,"about_ca_topic_score_gemma":0.00288758,"teacher_disagreement_score":0.0049389764,"about_ca_system_score_codex":0.0024170051,"about_ca_system_score_gemma":0.0007074441,"threshold_uncertainty_score":0.01753664},"labels":[],"label_agreement":null},{"id":"W2904515035","doi":"10.1142/s179304212150024x","title":"Linear periods and distinguished local parameters","year":2020,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Conjecture; Field (mathematics); Spectrum (functional analysis); Space (punctuation); Discrete spectrum; Local field","score_opus":0.03617900491677396,"score_gpt":0.34121782143555485,"score_spread":0.3050388165187809,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2904515035","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8099275,0.0011252973,0.026376175,0.0016906355,0.00023337622,0.00004593426,0.00030210358,0.00030889254,0.1599901],"genre_scores_gemma":[0.9892452,0.00016290213,0.0018728055,0.00009956185,0.00010155816,0.000025635567,0.00006881048,0.000043111777,0.00838043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948955,0.000117006246,0.000025813575,0.000114123926,0.00008890134,0.00016451675],"domain_scores_gemma":[0.9988483,0.0004454269,0.00019522135,0.00016475336,0.000113473,0.0002327571],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065169384,0.00036323027,0.00039115179,0.0014304549,0.0010271472,0.0026183734,0.0006406151,0.00054672995,0.009846066],"category_scores_gemma":[0.0022888114,0.00033265373,0.00042134628,0.0007613494,0.0027792342,0.0042966125,0.001963208,0.0015092115,0.0013203934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006977751,0.000021280048,0.00039572016,0.00003091605,0.000004493296,0.000064804146,0.00017641754,0.00050621654,0.0009900861,0.99412495,0.00055764575,0.0030576203],"study_design_scores_gemma":[0.000048379145,0.000029352168,0.0006133758,0.000019211695,0.00001030702,0.00014974254,0.00015664562,0.0029604395,0.0014888437,0.99027795,0.0042262995,0.000019423887],"about_ca_topic_score_codex":0.00034780492,"about_ca_topic_score_gemma":0.00032531115,"teacher_disagreement_score":0.009846066,"about_ca_system_score_codex":0.0017205022,"about_ca_system_score_gemma":0.0005992525,"threshold_uncertainty_score":0.03293836},"labels":[],"label_agreement":null},{"id":"W2905119549","doi":"10.1090/ert/550","title":"Speh representations are relatively discrete","year":2020,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"","keywords":"Backslash; Discrete spectrum; Mathematics; Symplectic geometry; Symplectic group; Series (stratigraphy); Combinatorics; Field (mathematics); Lie group; Discrete group; Zero (linguistics); Space (punctuation); Spectrum (functional analysis); Representation (politics); Mathematical physics; Pure mathematics; Group (periodic table); Physics; Eigenvalues and eigenvectors; Quantum mechanics","score_opus":0.05793118828442892,"score_gpt":0.3540637597996272,"score_spread":0.29613257151519823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2905119549","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.060569987,0.0011588876,0.27100167,0.002646075,0.0011339989,0.00011330545,0.0034834982,0.0033009292,0.6565916],"genre_scores_gemma":[0.65513545,0.0016008625,0.06761587,0.0013955309,0.0012139415,0.00017035413,0.005212232,0.0018165788,0.26583916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986664,0.00019725601,0.00010887685,0.0003380183,0.00044568256,0.00024366833],"domain_scores_gemma":[0.99868387,0.00030653446,0.00014071695,0.00036355204,0.0003780902,0.000127173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008367088,0.0007630352,0.00077591283,0.0020950383,0.0015671871,0.0047480245,0.0008214321,0.0008407323,0.052308537],"category_scores_gemma":[0.0026722308,0.00046438567,0.00096612354,0.0018073054,0.002132487,0.0073009077,0.002603148,0.0024183297,0.016711958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004874874,0.000018130524,0.00009166953,0.000061020655,0.000008736001,0.00008617043,0.0002123883,0.00036646242,0.00083464145,0.96568286,0.009038713,0.023550443],"study_design_scores_gemma":[0.00002377986,0.000026452182,0.00023067504,0.000025695856,0.000013718657,0.0001730283,0.000202563,0.0016533664,0.0021444985,0.92453027,0.07095465,0.000021269809],"about_ca_topic_score_codex":0.0009581635,"about_ca_topic_score_gemma":0.0013399713,"teacher_disagreement_score":0.052308537,"about_ca_system_score_codex":0.0015322368,"about_ca_system_score_gemma":0.0006177842,"threshold_uncertainty_score":0.17498946},"labels":[],"label_agreement":null},{"id":"W2907887811","doi":"10.1142/s1793042121500494","title":"A conjectural refinement of strong multiplicity one for GL(n)","year":2020,"lang":"en","type":"preprint","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"","keywords":"Unitary state; Mathematics; Automorphic form; Multiplicity (mathematics); Pure mathematics; Eigenvalues and eigenvectors; Langlands program; Algebraic number field; Set (abstract data type); Field (mathematics); Mathematical analysis; Physics; Computer science","score_opus":0.10375784631745946,"score_gpt":0.403917482884738,"score_spread":0.3001596365672785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2907887811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6578688,0.0012221895,0.2152511,0.007261492,0.0011489633,0.00014986072,0.00084126956,0.0009617698,0.11529456],"genre_scores_gemma":[0.97436804,0.00019493129,0.017593417,0.000621507,0.0006381723,0.00008099655,0.0003462006,0.00010326513,0.0060536126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99788696,0.00036004608,0.0001634219,0.0007507412,0.00058328,0.00025558303],"domain_scores_gemma":[0.98803467,0.006237559,0.001442034,0.0024562199,0.0007677214,0.0010617985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032512764,0.0007194178,0.0014373262,0.0017564863,0.0031379873,0.0041794227,0.002242901,0.0022932845,0.0069003734],"category_scores_gemma":[0.014267615,0.00051580794,0.00121555,0.0010602655,0.008519834,0.010453606,0.004330702,0.005108378,0.0008794634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057184337,0.000017329503,0.001127196,0.000063885556,0.00000577776,0.000110969806,0.00021238436,0.000504485,0.0008164734,0.99351937,0.00086964504,0.0026953311],"study_design_scores_gemma":[0.000020960812,0.000040076524,0.00065838353,0.000021095655,0.0000096384665,0.0002458593,0.00007614899,0.005006089,0.0007924384,0.99035925,0.0027503956,0.000019817438],"about_ca_topic_score_codex":0.00040332292,"about_ca_topic_score_gemma":0.00032569532,"teacher_disagreement_score":0.0069003734,"about_ca_system_score_codex":0.0014141486,"about_ca_system_score_gemma":0.00083676656,"threshold_uncertainty_score":0.023084044},"labels":[],"label_agreement":null},{"id":"W2910960582","doi":"10.1017/s1474748018000415","title":"-ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS","year":2019,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Symplectic geometry; Eisenstein series; Symplectic group; Group (periodic table); Pure mathematics; Series (stratigraphy); Combinatorics; Algebra over a field; Quantum mechanics; Physics; Modular form","score_opus":0.029388142151736223,"score_gpt":0.2965643129468534,"score_spread":0.2671761707951172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2910960582","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84690315,0.00039910644,0.09313473,0.00065352814,0.0001492093,0.00004938759,0.00012879536,0.00022381972,0.058358174],"genre_scores_gemma":[0.9820778,0.0002593893,0.007366109,0.00010761528,0.00009308832,0.000056573735,0.000087329296,0.00005157586,0.009900445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952507,0.00012054525,0.000023380442,0.00007257094,0.0001244756,0.00013399826],"domain_scores_gemma":[0.9993573,0.00014738557,0.00009880571,0.00006100476,0.00013889791,0.00019666622],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001047971,0.00076895795,0.00045302825,0.004084901,0.0019343321,0.0024723846,0.00067641115,0.0007169579,0.004512675],"category_scores_gemma":[0.001563269,0.00034518787,0.00068792363,0.0011540778,0.0030322643,0.0026556323,0.0016306187,0.0010530208,0.00076914893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035011177,0.00002318239,0.0008217932,0.000033772056,0.000008616051,0.00021590928,0.0004679445,0.0010918704,0.0013652812,0.9890274,0.00060584163,0.0063033532],"study_design_scores_gemma":[0.000034835346,0.00006793781,0.0019185626,0.00004679274,0.000016774111,0.00052392116,0.0006077044,0.018334558,0.0032924877,0.96907276,0.00603809,0.000045630084],"about_ca_topic_score_codex":0.0006023311,"about_ca_topic_score_gemma":0.00055164564,"teacher_disagreement_score":0.004512675,"about_ca_system_score_codex":0.0016000805,"about_ca_system_score_gemma":0.00053034315,"threshold_uncertainty_score":0.015096366},"labels":[],"label_agreement":null},{"id":"W2914503089","doi":"10.1007/s10468-019-09928-x","title":"Nilpotent Orbits of Orthogonal Groups over p-adic Fields, and the DeBacker Parametrization","year":2019,"lang":"en","type":"preprint","venue":"Algebras and Representation Theory","topic":"Advanced Algebra and Geometry","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; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Parametrization (atmospheric modeling); Nilpotent; Pure mathematics; Orbit (dynamics); Centralizer and normalizer; Group (periodic table); Algebraic group; Lie algebra; Algebraic number; Algebra over a field; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.02282067636033148,"score_gpt":0.3071673061691855,"score_spread":0.284346629808854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2914503089","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8052594,0.0015708227,0.034018848,0.001775127,0.00034501345,0.000049182512,0.00026194638,0.000119477445,0.15660022],"genre_scores_gemma":[0.98024625,0.00043855392,0.0023451322,0.00012409968,0.00020179898,0.00002064808,0.00009627928,0.00002955014,0.01649759],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997323,0.00006194055,0.000017121842,0.000046107012,0.00007351903,0.00006891448],"domain_scores_gemma":[0.9996099,0.000090040274,0.000102211314,0.000051537267,0.0000477575,0.00009856328],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052127,0.00053945393,0.00035240117,0.0020648048,0.0017617448,0.00299846,0.00044926556,0.0006701592,0.0043944865],"category_scores_gemma":[0.00143364,0.00021610512,0.00029081778,0.0012259948,0.0023560724,0.0036710612,0.0022137507,0.0010697275,0.00056176004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028828745,0.00001280977,0.0002177396,0.000009898358,0.0000021834824,0.00005085813,0.00023219011,0.00023931995,0.00044652773,0.9960751,0.0002801768,0.0024043631],"study_design_scores_gemma":[0.00001419435,0.000013396471,0.00032207597,0.00001049081,0.0000058143823,0.00009880176,0.00019652637,0.0020042027,0.00038036096,0.9939908,0.0029542097,0.000009147342],"about_ca_topic_score_codex":0.0017574915,"about_ca_topic_score_gemma":0.0009407095,"teacher_disagreement_score":0.0043944865,"about_ca_system_score_codex":0.0010212979,"about_ca_system_score_gemma":0.00063964847,"threshold_uncertainty_score":0.014701068},"labels":[],"label_agreement":null},{"id":"W2916853171","doi":"10.1070/rm2000v055n03abeh000310","title":"Vladimir Petrovich Platonov (on his 60th birthday)","year":2000,"lang":"en","type":"article","venue":"Russian Mathematical Surveys","topic":"Advanced Algebra and Geometry","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; Literature; Philosophy; Art","score_opus":0.03165050700009825,"score_gpt":0.30282038213232754,"score_spread":0.2711698751322293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2916853171","genre_codex":"review","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022266055,0.3890893,0.029709145,0.18044116,0.16619681,0.00011865402,0.0024733078,0.0012118561,0.20849374],"genre_scores_gemma":[0.20095256,0.1695833,0.008996109,0.016150245,0.030771887,0.000118075885,0.0016632958,0.000787785,0.5709767],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99904066,0.00017066037,0.00004172818,0.0003316687,0.000290973,0.00012434386],"domain_scores_gemma":[0.99926,0.00015063341,0.00006965016,0.000030410638,0.00021361417,0.00027570565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011620595,0.00090180675,0.001102464,0.0013858778,0.00187953,0.0024534762,0.0007416221,0.0009887876,0.011241418],"category_scores_gemma":[0.0021267778,0.00040828963,0.00041690862,0.0011553466,0.0012175617,0.0022289772,0.002260954,0.0033439621,0.012410014],"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":[0.00017004133,0.00007522611,0.0025840637,0.0004890199,0.000053190906,0.00030315173,0.001314479,0.0007152791,0.0012534875,0.05313804,0.8138415,0.12606248],"study_design_scores_gemma":[0.00000519186,0.00004938609,0.001305782,0.00012927568,0.000013465094,0.00026105094,0.00021886342,0.00016977645,0.00061913655,0.0066486043,0.99055815,0.000021402653],"about_ca_topic_score_codex":0.0031170938,"about_ca_topic_score_gemma":0.003015904,"teacher_disagreement_score":0.011241418,"about_ca_system_score_codex":0.0027075924,"about_ca_system_score_gemma":0.0016888413,"threshold_uncertainty_score":0.03760624},"labels":[],"label_agreement":null},{"id":"W2919001950","doi":"10.1142/s1793525320500065","title":"The topology of Baumslag–Solitar representations","year":2019,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Algebraic number; Prime (order theory); Combinatorics; Mathematical analysis","score_opus":0.015562177845568235,"score_gpt":0.3428412368599449,"score_spread":0.32727905901437665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2919001950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8544551,0.0006518086,0.03886673,0.00222808,0.00018494177,0.000036000747,0.00026498613,0.00040834717,0.10290392],"genre_scores_gemma":[0.9845607,0.00016165442,0.003347041,0.00013457269,0.00010708432,0.000024332101,0.00013465177,0.000065359396,0.011464552],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924076,0.00016085045,0.0000393924,0.00016186979,0.00021729904,0.00017988645],"domain_scores_gemma":[0.99906117,0.00025027012,0.0001754872,0.00015833323,0.00016408673,0.00019066749],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007024244,0.00039548712,0.0004915267,0.0013033033,0.0013671422,0.002931553,0.00073165185,0.0007956188,0.00745549],"category_scores_gemma":[0.0018816503,0.0003501756,0.00042235624,0.000980549,0.0026416604,0.005131396,0.0024632122,0.0014380162,0.0010522351],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044284396,0.000008615441,0.00019404951,0.000018402669,0.000004847383,0.00008209508,0.00040324018,0.00049169606,0.0013639358,0.9934853,0.00039836272,0.0035052847],"study_design_scores_gemma":[0.000018049997,0.000031258463,0.00043518603,0.0000099962,0.000006143405,0.0001505048,0.00022651527,0.0032336412,0.0013844146,0.9903728,0.0041145217,0.000016995207],"about_ca_topic_score_codex":0.000718624,"about_ca_topic_score_gemma":0.00035140797,"teacher_disagreement_score":0.00745549,"about_ca_system_score_codex":0.0011905505,"about_ca_system_score_gemma":0.000534254,"threshold_uncertainty_score":0.024941146},"labels":[],"label_agreement":null},{"id":"W2919796294","doi":"","title":"Some enumeration formulas for SYT of rectangular shape with two arms.","year":2018,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Geometry","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":"Enumeration; Mathematics; Combinatorics; Arithmetic; Algebra over a field; Pure mathematics","score_opus":0.020834149335316247,"score_gpt":0.3041397278850151,"score_spread":0.28330557854969884,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2919796294","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14789876,0.0026103952,0.41396895,0.0031391922,0.0012240452,0.00020320626,0.0034314187,0.0013837952,0.42614022],"genre_scores_gemma":[0.7683239,0.0015226068,0.13460413,0.0016180938,0.0006226085,0.00034996055,0.0032337075,0.0008978723,0.08882713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993849,0.000120817436,0.00006198909,0.000099287165,0.00019266676,0.00014045803],"domain_scores_gemma":[0.9991345,0.00037626398,0.000087815126,0.00010248698,0.0002283678,0.00007064547],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007153988,0.00066180655,0.0007229556,0.0014741761,0.0019847816,0.0033548928,0.0011870504,0.0012755012,0.022003073],"category_scores_gemma":[0.003011639,0.00051381567,0.0015130866,0.0018427823,0.0015925802,0.0060613644,0.0019765904,0.002867532,0.003907254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025527734,0.000017498369,0.00016629134,0.00006253923,0.000006787517,0.00019746322,0.00020201238,0.00044699397,0.00050233264,0.98223037,0.0061252783,0.010016946],"study_design_scores_gemma":[0.000013386268,0.00001291048,0.00019465997,0.000041203442,0.00001655214,0.00028925328,0.00018300742,0.0042162114,0.00078023656,0.98203963,0.012193092,0.000019905425],"about_ca_topic_score_codex":0.0018073837,"about_ca_topic_score_gemma":0.0025483512,"teacher_disagreement_score":0.022003073,"about_ca_system_score_codex":0.0018311737,"about_ca_system_score_gemma":0.00068481883,"threshold_uncertainty_score":0.07360762},"labels":[],"label_agreement":null},{"id":"W2922136549","doi":"10.1093/imrn/rnz053","title":"Towards the Finite Slope Part for GL<i>n</i>","year":2019,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Conjecture; Representation (politics); Space (punctuation); Context (archaeology); Pure mathematics; Automorphic form; Banach space; Extension (predicate logic)","score_opus":0.209148144997338,"score_gpt":0.45354536627425096,"score_spread":0.24439722127691296,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2922136549","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7968704,0.00036729622,0.12711406,0.001043388,0.0001528641,0.00002543775,0.00009416795,0.00022827591,0.07410405],"genre_scores_gemma":[0.9816253,0.00014902717,0.008889875,0.00013362698,0.000066679146,0.0000146125285,0.00005732937,0.000045248533,0.0090181315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981004,0.000042615,0.000006567417,0.000037371283,0.00005563814,0.00004783015],"domain_scores_gemma":[0.99970764,0.000060934497,0.00005015749,0.000039163595,0.00004760392,0.000094554314],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041908043,0.0003605658,0.00022808288,0.00071751676,0.00087449513,0.0014530241,0.00040603682,0.00044693824,0.004034313],"category_scores_gemma":[0.0010058293,0.0001522804,0.000455731,0.0004038933,0.002464356,0.0019904966,0.0012321632,0.0014170145,0.0005514541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017696,0.000013297828,0.00032082445,0.000016311715,0.0000032857417,0.00012770193,0.00023544791,0.0010989736,0.0017309731,0.99314123,0.00032700616,0.0029672442],"study_design_scores_gemma":[0.000009203653,0.00004683473,0.00043322754,0.000017498025,0.0000034644884,0.00014444259,0.00019621085,0.01094355,0.001661512,0.98267394,0.0038571914,0.000012840466],"about_ca_topic_score_codex":0.0007866979,"about_ca_topic_score_gemma":0.00064771855,"teacher_disagreement_score":0.004034313,"about_ca_system_score_codex":0.0008610914,"about_ca_system_score_gemma":0.00037150746,"threshold_uncertainty_score":0.013496101},"labels":[],"label_agreement":null},{"id":"W2922188069","doi":"10.4153/cjm-2018-019-7","title":"Poles of the Standard -function of and the Rallis–Schiffmann Lift","year":2018,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Lift (data mining); Function (biology); Image (mathematics); Pure mathematics; Algebra over a field; Combinatorics; Geometry; Artificial intelligence; Computer science","score_opus":0.018499557769897985,"score_gpt":0.25854301266881047,"score_spread":0.2400434548989125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2922188069","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92824394,0.00016908903,0.03399873,0.00045647143,0.000093046656,0.000020612604,0.000047735528,0.00017574665,0.03679464],"genre_scores_gemma":[0.99278635,0.000062032006,0.0025913161,0.000063006824,0.00006181351,0.000010584971,0.000032349053,0.000041773248,0.0043507516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999793,0.000028615219,0.0000076006377,0.000043573284,0.00006406019,0.00006320346],"domain_scores_gemma":[0.99975437,0.00003482814,0.00004081997,0.00003408025,0.000051238643,0.00008460054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003907748,0.0005352933,0.00045768448,0.0015402385,0.0010870623,0.0014374028,0.00059078925,0.0006989757,0.003885654],"category_scores_gemma":[0.0009826556,0.00019530638,0.0004646449,0.0003689324,0.0021052344,0.0016383732,0.00096573605,0.0011687935,0.0006173245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009495019,0.000031713345,0.00058544945,0.000023020939,0.0000072161965,0.00034877646,0.00038093506,0.0013420224,0.006866052,0.98458225,0.00076379365,0.004973841],"study_design_scores_gemma":[0.0000457826,0.000071430324,0.0020389468,0.000035902907,0.000014850256,0.0007092602,0.0004169726,0.028776715,0.0073181116,0.95594025,0.0045751217,0.00005667902],"about_ca_topic_score_codex":0.0009305537,"about_ca_topic_score_gemma":0.0005363623,"teacher_disagreement_score":0.003885654,"about_ca_system_score_codex":0.0009997155,"about_ca_system_score_gemma":0.00039216442,"threshold_uncertainty_score":0.012998819},"labels":[],"label_agreement":null},{"id":"W2923383761","doi":"10.4310/hha.2020.v22.n2.a13","title":"Equivariant Steinberg summands","year":2020,"lang":"en","type":"preprint","venue":"Homology Homotopy and Applications","topic":"Advanced Algebra and Geometry","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":"Equivariant map; Mathematics; Lemma (botany); Combinatorics; Fixed point; Pure mathematics; Filtration (mathematics); Action (physics); Space (punctuation); Physics; Mathematical analysis; Computer science","score_opus":0.06736798240430387,"score_gpt":0.3533960178305518,"score_spread":0.28602803542624794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2923383761","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84758025,0.00045503557,0.06972583,0.00044411546,0.00022829186,0.0000666063,0.0002649063,0.00046747885,0.080767535],"genre_scores_gemma":[0.973318,0.00023516774,0.007090289,0.000067677945,0.00008331662,0.000038832168,0.00020856735,0.00010697045,0.018851189],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995296,0.000039756942,0.000024888133,0.00007626984,0.00019657823,0.00013282578],"domain_scores_gemma":[0.9996251,0.00005529468,0.000057310855,0.00002886221,0.00009156109,0.00014186467],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047517463,0.00083893735,0.0004706853,0.0034881765,0.0014311853,0.0018824287,0.0006554861,0.00051692914,0.008272299],"category_scores_gemma":[0.0008636852,0.00030586493,0.0007064171,0.00073863793,0.001594102,0.0026731472,0.0025702994,0.001402461,0.0009770995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000510491,0.00008787674,0.003044972,0.00007042083,0.000029561608,0.0012063708,0.0006969581,0.0017641064,0.0178595,0.9633478,0.0011274002,0.01071404],"study_design_scores_gemma":[0.00002863577,0.000118022406,0.008440886,0.00006426358,0.000045356555,0.0013248998,0.0009923117,0.020340664,0.038305417,0.91956997,0.010712971,0.000056582856],"about_ca_topic_score_codex":0.0008280235,"about_ca_topic_score_gemma":0.0011909254,"teacher_disagreement_score":0.008272299,"about_ca_system_score_codex":0.0011579941,"about_ca_system_score_gemma":0.00043871126,"threshold_uncertainty_score":0.027673542},"labels":[],"label_agreement":null},{"id":"W2924505347","doi":"10.1063/1.5094336","title":"Intersection pairings in the <i>N</i>-fold reduced product of adjoint orbits","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Symplectic geometry; Intersection (aeronautics); Product (mathematics); Orbit (dynamics); Space (punctuation); Lie group; Intersection number; Vector space","score_opus":0.033156523794464064,"score_gpt":0.30096593768920293,"score_spread":0.2678094138947389,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2924505347","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.917444,0.00012148871,0.06311085,0.00013206933,0.00009048237,0.00003639861,0.00012752492,0.00016143723,0.018775886],"genre_scores_gemma":[0.9853357,0.00006171167,0.011880429,0.000018811339,0.000028900844,0.000029644812,0.00015163785,0.00007630642,0.0024168815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994747,0.00009505906,0.000032383916,0.00008853266,0.00020150063,0.00010787744],"domain_scores_gemma":[0.99946576,0.00013849803,0.00009410839,0.000065156215,0.0001066339,0.00012981027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008184817,0.00041670218,0.0005774824,0.002397967,0.00128571,0.0021223694,0.000747083,0.00057085056,0.004819659],"category_scores_gemma":[0.002090015,0.0002742786,0.0006614878,0.00075816154,0.0025984256,0.0036333222,0.0020593482,0.0010815782,0.0004746624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095536605,0.00008920376,0.004726592,0.00008990244,0.000018273482,0.00031487583,0.0008243424,0.020215135,0.0041135987,0.95758647,0.0007000979,0.0112259975],"study_design_scores_gemma":[0.00002227107,0.00017084056,0.0037225015,0.000047085847,0.000024676807,0.00044878153,0.0007952276,0.15887114,0.010832839,0.81998754,0.0050081485,0.00006895701],"about_ca_topic_score_codex":0.00057389116,"about_ca_topic_score_gemma":0.0005376301,"teacher_disagreement_score":0.004819659,"about_ca_system_score_codex":0.0007305928,"about_ca_system_score_gemma":0.0006284886,"threshold_uncertainty_score":0.016123354},"labels":[],"label_agreement":null},{"id":"W2929067711","doi":"10.1090/jams/983","title":"Regularity theorem for totally nonnegative flag varieties","year":2021,"lang":"en","type":"preprint","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Flag (linear algebra); Conjecture; Variety (cybernetics); Closure (psychology); Grassmannian; Pure mathematics; Ball (mathematics); Combinatorics; Algebra over a field; Mathematical analysis","score_opus":0.02923631913522787,"score_gpt":0.3248288612730986,"score_spread":0.29559254213787073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2929067711","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72620296,0.00073264126,0.17074594,0.0013170028,0.00023601922,0.000044016444,0.0005930037,0.00038073573,0.09974767],"genre_scores_gemma":[0.9793312,0.00022494677,0.009495288,0.0001508432,0.00012717118,0.00003379359,0.0003997231,0.000075552154,0.010161492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996338,0.00006047838,0.000019662131,0.00010383151,0.00010085293,0.000081378916],"domain_scores_gemma":[0.9993938,0.00017888013,0.0000999325,0.0000897739,0.00012084213,0.000116804746],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037115414,0.00036234854,0.0002994433,0.0009517265,0.00082472415,0.0011129937,0.00061870983,0.00033548972,0.0045009516],"category_scores_gemma":[0.0015427558,0.00022210421,0.00055668206,0.0005494758,0.0017650636,0.001803769,0.0016344166,0.0008064627,0.0004504553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005544042,0.000009055166,0.0013780243,0.000057114492,0.000007693401,0.00017447908,0.0002197325,0.0011747101,0.0031761779,0.98540753,0.0020372039,0.006302753],"study_design_scores_gemma":[0.000023561644,0.00006537914,0.003989225,0.00003249551,0.000021838936,0.0009500366,0.000284133,0.017626334,0.0035786915,0.95783097,0.015561777,0.0000355834],"about_ca_topic_score_codex":0.001403457,"about_ca_topic_score_gemma":0.00095786003,"teacher_disagreement_score":0.0045009516,"about_ca_system_score_codex":0.0005739696,"about_ca_system_score_gemma":0.00025221967,"threshold_uncertainty_score":0.015057206},"labels":[],"label_agreement":null},{"id":"W2930001794","doi":"10.1016/j.geomphys.2020.103595","title":"Kostant–Toda lattices and the universal centralizer","year":2020,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"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":"Integrable system; Toda lattice; Centralizer and normalizer; Mathematics; Embedding; Pure mathematics; Lattice (music); Invariant (physics); Lie algebra; Algebra over a field; Mathematical physics; Physics","score_opus":0.030080349458494183,"score_gpt":0.27840394878277147,"score_spread":0.24832359932427728,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2930001794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7484601,0.0026137314,0.076196134,0.005579032,0.000691597,0.00006152016,0.00031797006,0.00045230752,0.16562752],"genre_scores_gemma":[0.9874691,0.00037563845,0.005007221,0.000196527,0.0003594818,0.000028692619,0.000069579495,0.000045731587,0.0064479643],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905545,0.00026324988,0.00005880485,0.00013688245,0.0002806099,0.00020497854],"domain_scores_gemma":[0.99799407,0.00064056716,0.0002565297,0.00021667904,0.00029347165,0.0005986913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018632432,0.00059599726,0.0014968051,0.0030581874,0.0032946654,0.004295607,0.0012368725,0.0012374788,0.005216804],"category_scores_gemma":[0.0034001248,0.000566672,0.00091350975,0.0012875298,0.005602383,0.006584474,0.0036506357,0.0028653052,0.00064387545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016156775,0.0000090142385,0.00005364606,0.0000071004947,0.0000034104698,0.000029231405,0.00005482337,0.00018395105,0.00019555846,0.9987446,0.0001904223,0.0005120181],"study_design_scores_gemma":[0.000015476526,0.0000064881033,0.000106511994,0.000005467784,0.0000033853476,0.00005478874,0.000038326365,0.0015701323,0.00013403548,0.9975551,0.00050288526,0.000007278676],"about_ca_topic_score_codex":0.0013906135,"about_ca_topic_score_gemma":0.0009548113,"teacher_disagreement_score":0.005216804,"about_ca_system_score_codex":0.00219412,"about_ca_system_score_gemma":0.0013830693,"threshold_uncertainty_score":0.017451942},"labels":[],"label_agreement":null},{"id":"W2938914839","doi":"10.48550/arxiv.1904.07121","title":"The doubling Archimedean zeta integrals for p-adic interpolation","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Interpolation (computer graphics); Euler's formula; Mathematics; Pure mathematics; Modular design; Algebra over a field; Mathematical analysis; Physics; Computer science; Motion (physics); Classical mechanics","score_opus":0.15947538863116842,"score_gpt":0.25822969352593317,"score_spread":0.09875430489476475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2938914839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8220865,0.0006336158,0.106742494,0.0006252848,0.0002087729,0.00004367342,0.00018184837,0.0002693526,0.069208466],"genre_scores_gemma":[0.97751105,0.00037072436,0.012322615,0.000060825987,0.000106812804,0.000027345393,0.000117129144,0.00006570939,0.0094177155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998254,0.000029043842,0.0000065442036,0.000022272296,0.00007699232,0.000039744555],"domain_scores_gemma":[0.99963665,0.000120496516,0.000056360495,0.00004064693,0.000071395705,0.00007440508],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005984979,0.0007452789,0.0003987029,0.0025963525,0.00080136425,0.0016939265,0.0007552278,0.0004668734,0.0052050897],"category_scores_gemma":[0.0026687637,0.00020512617,0.0004747063,0.0009879124,0.0014617454,0.0021762499,0.0010849987,0.0012383414,0.0008603664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008364022,0.000036749876,0.0019562081,0.000055683355,0.000007452112,0.00024002811,0.00021599904,0.0055617206,0.0032356384,0.9719088,0.0010506148,0.015647458],"study_design_scores_gemma":[0.00003027359,0.000054416905,0.0023405969,0.00004750103,0.000016703365,0.00040129386,0.00024460355,0.07246759,0.0061786016,0.9129698,0.005206265,0.00004236659],"about_ca_topic_score_codex":0.00065467757,"about_ca_topic_score_gemma":0.00065322476,"teacher_disagreement_score":0.0052050897,"about_ca_system_score_codex":0.0011084329,"about_ca_system_score_gemma":0.0004824046,"threshold_uncertainty_score":0.017412782},"labels":[],"label_agreement":null},{"id":"W2941214061","doi":"10.1090/spmj/1690","title":"Twisted quadratic foldings of root systems","year":2021,"lang":"en","type":"preprint","venue":"St Petersburg Mathematical Journal","topic":"Advanced Algebra and Geometry","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; Pure mathematics; Cohomology; Automorphism; Type (biology); Algebra over a field","score_opus":0.04718284941758125,"score_gpt":0.3286803303366814,"score_spread":0.28149748091910015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2941214061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6348962,0.0005832082,0.20835264,0.00071853364,0.0008075521,0.00010104987,0.00034674202,0.0014675094,0.15272658],"genre_scores_gemma":[0.94732326,0.000245663,0.016706513,0.00021840222,0.00013304559,0.00003631999,0.00021784846,0.0003904707,0.034728475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994578,0.00011399412,0.000029549996,0.00013078867,0.00014215184,0.00012570413],"domain_scores_gemma":[0.99948394,0.00008848452,0.000056064247,0.00013682262,0.000129394,0.00010520461],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003622283,0.00042724027,0.00034572172,0.000980905,0.0010545875,0.0014905183,0.00038717556,0.00045629896,0.013495312],"category_scores_gemma":[0.0013183295,0.00030538882,0.00062161847,0.0005456835,0.0015214484,0.0021650891,0.0014888005,0.0012155644,0.002582488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056466557,0.000023506816,0.00062394387,0.000045993664,0.000009330458,0.00042780917,0.0005988453,0.0016692326,0.006471361,0.9653554,0.0017527331,0.0229654],"study_design_scores_gemma":[0.000018608294,0.00006463371,0.00077411765,0.00002241068,0.00000891233,0.00041819917,0.00035807744,0.0074776937,0.0049299384,0.9736429,0.012258891,0.000025718633],"about_ca_topic_score_codex":0.00063606206,"about_ca_topic_score_gemma":0.0006309105,"teacher_disagreement_score":0.013495312,"about_ca_system_score_codex":0.0008057488,"about_ca_system_score_gemma":0.00028505284,"threshold_uncertainty_score":0.045146346},"labels":[],"label_agreement":null},{"id":"W2943011679","doi":"10.1017/fms.2019.50","title":"ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS","year":2020,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Reductive group; Field (mathematics); Irreducible representation; Group (periodic table); Representation (politics); Finite field; (g,K)-module","score_opus":0.06102714265970944,"score_gpt":0.3146446203965279,"score_spread":0.2536174777368185,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943011679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80873686,0.0007347484,0.04671421,0.0022192865,0.00012632788,0.00003634175,0.0002084116,0.0001341771,0.14108972],"genre_scores_gemma":[0.9910288,0.00029760145,0.0030879579,0.00010747351,0.000092665636,0.0000127076855,0.00013226403,0.000017314342,0.0052231555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937075,0.00016477871,0.000024803667,0.00009321148,0.00014732669,0.00019917225],"domain_scores_gemma":[0.9984648,0.0006522612,0.00020959866,0.00016424764,0.00018729249,0.00032171808],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009774114,0.00062946544,0.00048142043,0.001404619,0.0018407631,0.0022704094,0.00073112914,0.0011341053,0.005326008],"category_scores_gemma":[0.0028959974,0.00031832626,0.00045976805,0.0008705698,0.0043558488,0.003596988,0.003235165,0.001951146,0.0005682056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029110515,0.000019044624,0.00041949272,0.00002237208,0.000003970283,0.00013131007,0.00045238252,0.00042267644,0.0008979116,0.99534285,0.00038394541,0.0018748624],"study_design_scores_gemma":[0.000019639612,0.000034815082,0.0005138422,0.000031692904,0.000009930306,0.00021173232,0.00050251617,0.004562958,0.0015110022,0.9902642,0.002324594,0.00001302587],"about_ca_topic_score_codex":0.00076642784,"about_ca_topic_score_gemma":0.0006548639,"teacher_disagreement_score":0.005326008,"about_ca_system_score_codex":0.0009527272,"about_ca_system_score_gemma":0.0004722227,"threshold_uncertainty_score":0.017817259},"labels":[],"label_agreement":null},{"id":"W2949059760","doi":"10.4153/cmb-2008-058-x","title":"On Tensor Products of Polynomial Representations","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"University of Cambridge","keywords":"Tensor product; Tensor product of Hilbert spaces; Tensor (intrinsic definition); Tensor product of algebras; Algebra over a field; Polynomial; Product (mathematics); Tensor product of modules","score_opus":0.042561960544065955,"score_gpt":0.28358972929891085,"score_spread":0.24102776875484488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949059760","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90694565,0.00024244006,0.05371525,0.00031435007,0.000109123,0.000045173863,0.00010725861,0.00014753545,0.038373277],"genre_scores_gemma":[0.9905415,0.000078311576,0.0053710034,0.000041316405,0.00006239448,0.000017861816,0.00012752032,0.00004653385,0.0037136695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99792993,0.00052669237,0.00012092882,0.00040420916,0.0005223071,0.0004958469],"domain_scores_gemma":[0.99697447,0.0008314088,0.0005080054,0.00046013092,0.0006496961,0.0005762607],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017948082,0.0006322318,0.0007381084,0.0017943188,0.0017268066,0.0022952077,0.0007063709,0.00067738496,0.006486238],"category_scores_gemma":[0.0053887293,0.00048224806,0.00071677385,0.0008322856,0.0034856577,0.004628463,0.0021639266,0.001246888,0.00070428615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000119713506,0.00003447729,0.00093540543,0.00004358787,0.0000084947205,0.0003957069,0.00044934262,0.0017198932,0.004289361,0.9880234,0.00058428146,0.003396301],"study_design_scores_gemma":[0.000026939711,0.000105623316,0.0009021656,0.000030644504,0.000021358921,0.0005274647,0.00032604093,0.015549635,0.0047935774,0.97480696,0.002873764,0.000035895147],"about_ca_topic_score_codex":0.0008203322,"about_ca_topic_score_gemma":0.00076182187,"teacher_disagreement_score":0.006486238,"about_ca_system_score_codex":0.0011195196,"about_ca_system_score_gemma":0.000548985,"threshold_uncertainty_score":0.021698654},"labels":[],"label_agreement":null},{"id":"W2949065627","doi":"10.48550/arxiv.1612.02851","title":"Positive Systems of Kostant Roots","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Subalgebra; Lie algebra; Combinatorics; Cartan subalgebra; Simple (philosophy); Physics; Mathematics; Algebra over a field; Pure mathematics; Quantum mechanics; Lie conformal algebra","score_opus":0.07513937671140179,"score_gpt":0.22012284707678892,"score_spread":0.1449834703653871,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949065627","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7127835,0.0009272059,0.084742054,0.0023125643,0.00041139842,0.00007613024,0.00041903555,0.0005334407,0.19779463],"genre_scores_gemma":[0.978868,0.00021398981,0.005121598,0.00016179115,0.00013887609,0.00004509502,0.00014112967,0.000057319012,0.015252169],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999276,0.00016629019,0.000031344625,0.0001444472,0.00022269283,0.00015929929],"domain_scores_gemma":[0.99951196,0.00012798466,0.000070943344,0.000060134127,0.00009951604,0.00012954295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059327343,0.0004891299,0.0005580298,0.001046761,0.0014672057,0.00319974,0.00079832895,0.00081773684,0.009449023],"category_scores_gemma":[0.0017021577,0.00038675705,0.00048576828,0.0005318839,0.002669684,0.0030512824,0.0023935782,0.0013216352,0.0013316687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016577798,0.000009345088,0.00017691353,0.000021231981,0.0000043704163,0.00007094018,0.00018198637,0.0007758752,0.0009237866,0.99531156,0.00086328917,0.0016441452],"study_design_scores_gemma":[0.000019493516,0.00002142255,0.0002834607,0.000011882184,0.0000067966,0.00016227015,0.00015946304,0.012350186,0.00081332825,0.9835935,0.0025629657,0.000015127874],"about_ca_topic_score_codex":0.00078952993,"about_ca_topic_score_gemma":0.000797724,"teacher_disagreement_score":0.009449023,"about_ca_system_score_codex":0.0012597902,"about_ca_system_score_gemma":0.00063903123,"threshold_uncertainty_score":0.03161019},"labels":[],"label_agreement":null},{"id":"W2949237387","doi":"10.48550/arxiv.math/0210434","title":"Cohomology of symplectic reductions of generic coadjoint orbits","year":2002,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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":"Maximal torus; Mathematics; Equivariant cohomology; Symplectic geometry; Cohomology; Equivariant map; Pure mathematics; Lie group; Lambda; Cohomology ring; Torus; Ring (chemistry); Orbit (dynamics); Lie algebra; Physics; Geometry; Fundamental representation; Quantum mechanics","score_opus":0.16106761099151265,"score_gpt":0.3418858798664585,"score_spread":0.18081826887494587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949237387","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9722693,0.00011963436,0.0059520155,0.00021783476,0.000029280976,0.000020812407,0.000099759316,0.000080964805,0.021210328],"genre_scores_gemma":[0.9928173,0.00007783679,0.0011984818,0.00003246317,0.00004749322,0.000013316773,0.00014425909,0.000024363602,0.005644572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997204,0.000025311958,0.000010007842,0.00005785975,0.00009900964,0.00008734529],"domain_scores_gemma":[0.9998342,0.000025083655,0.000041728163,0.000016909407,0.000024082443,0.000057968075],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020647266,0.0004062453,0.00035193717,0.0017162886,0.001022061,0.0017564311,0.0005251299,0.00034111727,0.004444513],"category_scores_gemma":[0.0005290499,0.0002573598,0.00038463587,0.0004978596,0.0015069849,0.0016993354,0.0019804367,0.0008099836,0.00041758877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012252457,0.00007751087,0.0036168678,0.000062312036,0.0000258416,0.00062934577,0.001540097,0.002597449,0.014387448,0.9647839,0.0010364704,0.011120214],"study_design_scores_gemma":[0.00008690595,0.00018692653,0.01772332,0.000029748915,0.00004067451,0.0010738276,0.0015224371,0.025273064,0.014005172,0.92771643,0.012281381,0.000060147722],"about_ca_topic_score_codex":0.0012578407,"about_ca_topic_score_gemma":0.0009088966,"teacher_disagreement_score":0.004444513,"about_ca_system_score_codex":0.0010095249,"about_ca_system_score_gemma":0.000298146,"threshold_uncertainty_score":0.014868379},"labels":[],"label_agreement":null},{"id":"W2949315026","doi":"10.48550/arxiv.1004.3503","title":"Lattice Polarized K3 Surfaces and Siegel Modular Forms","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Isogeny; Siegel modular form; Moduli space; Mathematics; Pure mathematics; Lattice (music); K3 surface; Modular form; Algebraic surface; Algebraic number; Abelian group; Algebra over a field; Mathematical analysis; Physics","score_opus":0.06863539700114495,"score_gpt":0.2201200923820319,"score_spread":0.15148469538088694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949315026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9210171,0.00039559684,0.021437565,0.00074255804,0.00006225776,0.000017056835,0.00009987338,0.00009488413,0.0561331],"genre_scores_gemma":[0.99275994,0.00021245146,0.0027396719,0.00007399344,0.000047739093,0.000008728061,0.00008385874,0.000015347397,0.004058361],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998336,0.000026536745,0.0000069841262,0.000026154172,0.000060741007,0.00004587745],"domain_scores_gemma":[0.9998147,0.00003367608,0.00004113684,0.000023816123,0.00003621461,0.00005045784],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017834984,0.00029517317,0.00019954183,0.0010802848,0.0007979452,0.0020012923,0.00022811789,0.0003974881,0.0035417965],"category_scores_gemma":[0.00040115276,0.000118409116,0.00020628062,0.00068113377,0.0020073978,0.00193388,0.0012936668,0.0008355949,0.00042829235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043228218,0.000017518494,0.0016549395,0.000028354218,0.0000044407207,0.00017716181,0.00032253645,0.001188673,0.0039788247,0.98339474,0.0008100133,0.008379622],"study_design_scores_gemma":[0.000019929685,0.000034829096,0.002828181,0.00001900634,0.000007492086,0.00077546126,0.001021446,0.008283909,0.0037916682,0.97309464,0.010101742,0.000021767177],"about_ca_topic_score_codex":0.00053719705,"about_ca_topic_score_gemma":0.00032283145,"teacher_disagreement_score":0.0035417965,"about_ca_system_score_codex":0.00048443308,"about_ca_system_score_gemma":0.00022993074,"threshold_uncertainty_score":0.011848509},"labels":[],"label_agreement":null},{"id":"W2949365383","doi":"10.48550/arxiv.1302.5618","title":"On Branching Rules of Depth-Zero Representations","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Zero (linguistics); Branching (polymer chemistry); Coincidence; Representation (politics); Pure mathematics; Representation theory; Combinatorics; Linguistics","score_opus":0.10819831102295091,"score_gpt":0.25027580637562163,"score_spread":0.14207749535267072,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949365383","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85233665,0.00032260496,0.08505518,0.00035870643,0.00006156856,0.0000457956,0.00008123602,0.00016434763,0.061573792],"genre_scores_gemma":[0.9868363,0.00016100696,0.008511908,0.000053087268,0.00005948078,0.00002955315,0.000059036924,0.000046674002,0.004242964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994593,0.00010956935,0.000024319814,0.000108132655,0.00016261764,0.0001360076],"domain_scores_gemma":[0.9988772,0.00043490613,0.0001590436,0.00019402758,0.00010858425,0.00022616597],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006699249,0.00039271038,0.00041055825,0.001488464,0.0014559001,0.0020648127,0.0006245399,0.0007441066,0.0029741784],"category_scores_gemma":[0.0032158927,0.00026831907,0.0005483381,0.000751716,0.0033396948,0.0030482404,0.0015685315,0.0015122613,0.00038544636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022413507,0.000012596433,0.0005091767,0.000015324793,0.0000026363955,0.00016306338,0.00035540533,0.0008503842,0.003276962,0.99219346,0.00012307342,0.0024755853],"study_design_scores_gemma":[0.000013760188,0.000016646938,0.00040451853,0.000011392615,0.000004703274,0.00019530304,0.00012297701,0.006697409,0.0015232884,0.9899442,0.0010550785,0.000010759045],"about_ca_topic_score_codex":0.0007229053,"about_ca_topic_score_gemma":0.0004959813,"teacher_disagreement_score":0.0029741784,"about_ca_system_score_codex":0.00069235225,"about_ca_system_score_gemma":0.00030003453,"threshold_uncertainty_score":0.009949625},"labels":[],"label_agreement":null},{"id":"W2949679847","doi":"10.1016/s0001-8708(03)00229-9","title":"Quantum cohomology of the infinite-dimensional generalized flag manifolds","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Generalized flag variety; Quantum cohomology; Flag (linear algebra); Toda lattice; Pure mathematics; Isomorphism (crystallography); Cohomology ring; Maximal torus; Type (biology); Quantum; Lie group; Lattice (music); Cohomology; Multiplicative function; Lie algebra; Mathematical analysis; Algebra over a field; Equivariant cohomology; Quantum mechanics","score_opus":0.0220890555069774,"score_gpt":0.31067204412118177,"score_spread":0.2885829886142044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949679847","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92456615,0.0009366862,0.02317176,0.0019380845,0.000245408,0.000022375736,0.00014362574,0.00011699463,0.048858874],"genre_scores_gemma":[0.9856559,0.0003517171,0.002652434,0.00015787533,0.0002221862,0.000014800389,0.00010525664,0.000019753046,0.010820088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997253,0.00007523527,0.000011691086,0.000041100848,0.000078653924,0.00006800183],"domain_scores_gemma":[0.99951315,0.00007434482,0.00008405481,0.000053920605,0.000086938795,0.00018754725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048896956,0.0005346179,0.00058418786,0.0019885188,0.0015268581,0.0018300837,0.00076395774,0.000772986,0.0047303643],"category_scores_gemma":[0.0011168816,0.00025287992,0.0004462388,0.0008893408,0.0024180342,0.0038265332,0.0017410227,0.0012032293,0.0003480135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023281398,0.000017695955,0.00036716188,0.000021404754,0.000006431655,0.000093874696,0.00024651704,0.0007211884,0.0011665332,0.9938055,0.0005077917,0.0030226235],"study_design_scores_gemma":[0.000010281084,0.000022055663,0.0011474433,0.000010969297,0.0000052082873,0.00014635776,0.00014234414,0.005748225,0.00027368902,0.9910868,0.0013908098,0.000015760277],"about_ca_topic_score_codex":0.0015919063,"about_ca_topic_score_gemma":0.0015032794,"teacher_disagreement_score":0.0047303643,"about_ca_system_score_codex":0.0011324347,"about_ca_system_score_gemma":0.00061208365,"threshold_uncertainty_score":0.015824676},"labels":[],"label_agreement":null},{"id":"W2950181573","doi":"10.48550/arxiv.math/0610959","title":"Trace formulas and class number sums","year":2006,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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":"Conjugacy class; Mathematics; Selberg trace formula; Modulo; TRACE (psycholinguistics); Congruence (geometry); Prime (order theory); Pure mathematics; Cusp (singularity); Combinatorics; Class (philosophy); Geometry; Riemann hypothesis","score_opus":0.0561148512115381,"score_gpt":0.3282401471997967,"score_spread":0.27212529598825863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950181573","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8818754,0.0006435594,0.06280088,0.0007271663,0.00014994638,0.000030751817,0.00013596745,0.00030912363,0.05332722],"genre_scores_gemma":[0.98761046,0.00029242007,0.0047694743,0.000051656472,0.00016592775,0.000027274604,0.000095369825,0.00007831513,0.006909253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994572,0.000087399945,0.000025500118,0.00009522035,0.00020436617,0.00013036544],"domain_scores_gemma":[0.9988387,0.00046992,0.00016874452,0.000121298945,0.00018017748,0.00022114937],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007827299,0.00050812017,0.0005188712,0.0034863038,0.0012641052,0.002741964,0.0010622041,0.00069701904,0.004759467],"category_scores_gemma":[0.0065735034,0.00022376065,0.00043790866,0.0014650319,0.0025309005,0.004497197,0.0016817374,0.0013062329,0.00060765067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042243304,0.000041038922,0.0014259842,0.00002292936,0.0000071186723,0.00014633499,0.00031300768,0.0019513883,0.0018003779,0.980327,0.0005849446,0.013337709],"study_design_scores_gemma":[0.000013765662,0.00001728614,0.00060928287,0.000014902807,0.000007488237,0.00018644088,0.0000705217,0.020618014,0.001763818,0.97525203,0.0014319636,0.000014376228],"about_ca_topic_score_codex":0.00072021596,"about_ca_topic_score_gemma":0.00055913214,"teacher_disagreement_score":0.004759467,"about_ca_system_score_codex":0.0014254684,"about_ca_system_score_gemma":0.00040328043,"threshold_uncertainty_score":0.01592201},"labels":[],"label_agreement":null},{"id":"W2950262502","doi":"10.3842/sigma.2019.041","title":"Hecke Operators on Vector-Valued Modular Forms","year":2019,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Advanced Algebra and Geometry","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","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hecke operator; Mathematics; Modular form; Pure mathematics; Algebra over a field; Type (biology); Operator (biology)","score_opus":0.02951963676357868,"score_gpt":0.37989762201474353,"score_spread":0.35037798525116487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950262502","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8125116,0.0007572851,0.13786706,0.0007801375,0.00031853016,0.000089866946,0.00010909259,0.00023690065,0.04732958],"genre_scores_gemma":[0.9665236,0.0004685736,0.022089798,0.00017821099,0.00023289937,0.00006115456,0.00007092281,0.00006493431,0.010309996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994666,0.0001386209,0.000026072388,0.00007418399,0.000148259,0.00014624177],"domain_scores_gemma":[0.9992976,0.00016036058,0.00016550574,0.000082044964,0.00007133781,0.00022316645],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010468699,0.00090193603,0.00053362997,0.0017742806,0.0014245943,0.0019087137,0.0008304933,0.0009215719,0.004023028],"category_scores_gemma":[0.0018142135,0.00031676923,0.0007842088,0.0010887162,0.0030838123,0.0030605027,0.0018266828,0.0016524161,0.00056949764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002268615,0.00005258014,0.00033889932,0.000030503948,0.000005800821,0.00018466548,0.00042780567,0.0024472624,0.0032790024,0.9896081,0.00037747258,0.0032252998],"study_design_scores_gemma":[0.000046544184,0.000091279566,0.0004803522,0.000025543153,0.0000072903586,0.00042787808,0.00036922528,0.03372791,0.0039349077,0.958218,0.0026289595,0.00004223831],"about_ca_topic_score_codex":0.0003613738,"about_ca_topic_score_gemma":0.00028223393,"teacher_disagreement_score":0.004023028,"about_ca_system_score_codex":0.0008214603,"about_ca_system_score_gemma":0.00056588213,"threshold_uncertainty_score":0.013458312},"labels":[],"label_agreement":null},{"id":"W2950448258","doi":"10.48550/arxiv.1106.1139","title":"Non-split Sums of Coefficients of GL(2)-Automorphic Forms","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Ramanujan's sum; Mathematics; Conjecture; Pi; Combinatorics; Square (algebra); Automorphic form; Eigenvalues and eigenvectors; Term (time); Square root; Pure mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.10863143244955378,"score_gpt":0.22354947574094103,"score_spread":0.11491804329138725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950448258","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9544887,0.00031726446,0.026808862,0.00024004535,0.00011265709,0.000014005882,0.00006633641,0.00017350703,0.017778637],"genre_scores_gemma":[0.98269504,0.00018159999,0.0054100663,0.00006303141,0.00014498876,0.000024861136,0.00013459723,0.00010787245,0.011238016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995939,0.00007702686,0.000024563094,0.00006385148,0.00014471351,0.00009600282],"domain_scores_gemma":[0.99929595,0.00020934743,0.00012073078,0.00007992285,0.000088402936,0.00020572283],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053615216,0.00089012197,0.000700005,0.0017140941,0.0008033522,0.0017711846,0.001053336,0.00071841065,0.0061259563],"category_scores_gemma":[0.002246048,0.0003453643,0.00064553885,0.0011159722,0.0016598192,0.002520357,0.0015599412,0.000859188,0.0006991846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024300226,0.00011151468,0.0036356898,0.00021884151,0.000062595485,0.0011868103,0.00078699406,0.009731796,0.017205281,0.9501598,0.0019032392,0.014754471],"study_design_scores_gemma":[0.000059594866,0.00014390313,0.0053647766,0.00008315562,0.00008104771,0.0017487014,0.00061569264,0.14834864,0.015881123,0.82226115,0.0053345817,0.000077625176],"about_ca_topic_score_codex":0.00046699026,"about_ca_topic_score_gemma":0.0009072294,"teacher_disagreement_score":0.0061259563,"about_ca_system_score_codex":0.00068574026,"about_ca_system_score_gemma":0.00036489483,"threshold_uncertainty_score":0.020493388},"labels":[],"label_agreement":null},{"id":"W2950558280","doi":"10.1093/imrn/rnaa309","title":"A Characteristic Map for the Symmetric Space of Symplectic Forms Over a Finite Field","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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; Stanley symmetric function; Schur polynomial; Symplectic group; Symmetric function; Symmetric group; Isomorphism (crystallography); Ring of symmetric functions; Complete homogeneous symmetric polynomial; Pure mathematics; Symplectic geometry; Symmetric space; Symplectic representation; Finite field; Symplectic vector space; Field (mathematics); Representation theory of the symmetric group; Representation theory; Combinatorics; Moment map; Macdonald polynomials; Classical orthogonal polynomials; Orthogonal polynomials","score_opus":0.17569132550635397,"score_gpt":0.44860046354097777,"score_spread":0.2729091380346238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950558280","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85135245,0.0003644112,0.09042668,0.0016287657,0.00029631506,0.000091117785,0.00028729963,0.00018652773,0.05536639],"genre_scores_gemma":[0.98235244,0.00018955715,0.0058677006,0.000095844545,0.00015829879,0.000037637932,0.00010989953,0.000042118285,0.011146408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954164,0.000067926725,0.000018617657,0.00008884715,0.00016288,0.00012014325],"domain_scores_gemma":[0.9992986,0.00013951902,0.00012414985,0.000051769694,0.0001388695,0.00024703477],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005402839,0.0003503546,0.0003636856,0.0014928529,0.0011114415,0.0020040646,0.0004143234,0.000535539,0.005816432],"category_scores_gemma":[0.0013080238,0.00020490761,0.00044500944,0.0007540761,0.0026212875,0.0032961033,0.001725194,0.001237625,0.0006702109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022139195,0.000013460115,0.0002306484,0.00001184385,0.000002431551,0.000107810134,0.00023875604,0.00039764165,0.0013804468,0.99343336,0.00032115116,0.0038402323],"study_design_scores_gemma":[0.000028285123,0.0000822007,0.0007486244,0.0000108291815,0.000004892022,0.00031524032,0.00022499195,0.005151986,0.0017812634,0.9867285,0.0049044816,0.000018651199],"about_ca_topic_score_codex":0.00082868815,"about_ca_topic_score_gemma":0.0004351448,"teacher_disagreement_score":0.005816432,"about_ca_system_score_codex":0.0015111256,"about_ca_system_score_gemma":0.0010968805,"threshold_uncertainty_score":0.019457877},"labels":[],"label_agreement":null},{"id":"W2950638173","doi":"10.48550/arxiv.math/0404369","title":"Equivariant cohomology of real flag manifolds","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Flag (linear algebra); Mathematics; Generalized flag variety; Pure mathematics; Lie group; Submanifold; Cohomology; Equivariant cohomology; Orbit (dynamics); Cohomology ring; Equivariant map; Maximal torus; Symmetric space; Combinatorics; Lie algebra; Fundamental representation; Algebra over a field","score_opus":0.08347267560658418,"score_gpt":0.3449248068202884,"score_spread":0.26145213121370425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950638173","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9605467,0.0002811931,0.010175203,0.00030775674,0.00003907416,0.000009312915,0.00008973272,0.00011989199,0.028431175],"genre_scores_gemma":[0.9945846,0.000103229155,0.00088213285,0.00002494384,0.000031082778,0.000004911729,0.000080618134,0.00001142765,0.004277071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99983704,0.000023032393,0.0000062082668,0.000026852153,0.000054357388,0.000052540177],"domain_scores_gemma":[0.9998473,0.000023059665,0.00003915853,0.000013887731,0.000024124389,0.000052421397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014224985,0.00030361678,0.00020867707,0.0010068661,0.00048468387,0.0008768469,0.00036455042,0.00020557025,0.0035229765],"category_scores_gemma":[0.0005080115,0.00013251953,0.0001885447,0.0003227945,0.00094036805,0.0012759331,0.001165036,0.00042590188,0.00029548514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059151465,0.000033004326,0.0027252669,0.000046336114,0.000011784475,0.00048712036,0.00085963536,0.0020121273,0.008186872,0.9714437,0.0011429058,0.012992175],"study_design_scores_gemma":[0.000026871121,0.000093386174,0.011092449,0.00001987029,0.000015584148,0.0009403454,0.0008920159,0.013839734,0.0050902343,0.9529894,0.014968595,0.000031567786],"about_ca_topic_score_codex":0.0008425773,"about_ca_topic_score_gemma":0.0006021478,"teacher_disagreement_score":0.0035229765,"about_ca_system_score_codex":0.00066649646,"about_ca_system_score_gemma":0.00018509933,"threshold_uncertainty_score":0.011785507},"labels":[],"label_agreement":null},{"id":"W2950960230","doi":"10.48550/arxiv.1408.2671","title":"Donaldson-Thomas invariants and wall-crossing formulas","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Pure mathematics; Algebra over a field; Calculus (dental); Medicine; Orthodontics","score_opus":0.10142600763362386,"score_gpt":0.23240114634487627,"score_spread":0.1309751387112524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950960230","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10569226,0.01667946,0.07987513,0.023179024,0.004791341,0.00007088233,0.0031208773,0.0012109515,0.7653801],"genre_scores_gemma":[0.7996332,0.0068367575,0.018564582,0.0011248873,0.0013212424,0.000046803125,0.0017003493,0.00042459017,0.17034753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996786,0.00004215859,0.000016620772,0.000046604335,0.00016959333,0.000046468354],"domain_scores_gemma":[0.99957854,0.00007363009,0.00006535457,0.000055627803,0.0001312104,0.000095746975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054564496,0.00069943554,0.0003993741,0.0022017844,0.0009905759,0.0016137963,0.00052785006,0.00052460236,0.018561976],"category_scores_gemma":[0.0011785137,0.00023269992,0.00030671206,0.0023222144,0.0022062517,0.002240109,0.0011150658,0.0015841171,0.0018658531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013936364,0.0000073639494,0.00019890109,0.00003077418,0.000004566524,0.00005416268,0.0001665295,0.00036722052,0.00036609476,0.9722998,0.01950634,0.0069842367],"study_design_scores_gemma":[0.000016007874,0.000025335297,0.0021401648,0.00004342056,0.000014311755,0.00032397048,0.00023364012,0.0022444741,0.0022758853,0.87600446,0.11663587,0.00004252712],"about_ca_topic_score_codex":0.018618058,"about_ca_topic_score_gemma":0.018126225,"teacher_disagreement_score":0.018618058,"about_ca_system_score_codex":0.0049082576,"about_ca_system_score_gemma":0.0011387488,"threshold_uncertainty_score":0.06209606},"labels":[],"label_agreement":null},{"id":"W2951013980","doi":"10.4153/cmb-2017-016-9","title":"Springer’s Weyl Group Representation via Localization","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"","keywords":"Subvariety; Algebraic group; Cohomology; Equivariant cohomology; Weyl group; Algebra over a field; Action (physics); Variety (cybernetics); Group (periodic table); Nilpotent","score_opus":0.038527416709629086,"score_gpt":0.3103482791037997,"score_spread":0.2718208623941706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951013980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7763971,0.00043908952,0.108629376,0.0024924215,0.0002768536,0.000060654136,0.00013806547,0.0007432744,0.11082324],"genre_scores_gemma":[0.98096025,0.00015321144,0.0041926783,0.00017638078,0.00008879664,0.000021291933,0.000033850418,0.0000420862,0.0143314805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997167,0.00003983768,0.000010378997,0.000054420965,0.00008966855,0.00008899951],"domain_scores_gemma":[0.99975556,0.00003926173,0.000044289343,0.0000400542,0.00003833044,0.00008237051],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032860023,0.00028185747,0.0002408839,0.0009000762,0.0007220412,0.0015147272,0.00037253398,0.00047143226,0.0047268616],"category_scores_gemma":[0.0007186685,0.00012964233,0.0003902741,0.0003999528,0.0018921854,0.0025637287,0.0023374276,0.0009464389,0.00063072896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014453331,0.000020237274,0.00021805582,0.000015734178,0.0000043532978,0.00015313653,0.00058070687,0.0006947835,0.0032517812,0.9891474,0.00063606276,0.0052632154],"study_design_scores_gemma":[0.000029790466,0.00008245565,0.00076480233,0.000015992366,0.000013766586,0.00029512032,0.0005024984,0.008177473,0.0060218466,0.97108716,0.01298072,0.000028456503],"about_ca_topic_score_codex":0.0010601191,"about_ca_topic_score_gemma":0.0006144034,"teacher_disagreement_score":0.0047268616,"about_ca_system_score_codex":0.0010547527,"about_ca_system_score_gemma":0.00047090853,"threshold_uncertainty_score":0.015812933},"labels":[],"label_agreement":null},{"id":"W2951061741","doi":"10.48550/arxiv.0901.3071","title":"The moduli space of stable vector bundles over a real algebraic curve","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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":"","keywords":"Vector bundle; Moduli space; Moduli of algebraic curves; Mathematics; Space (punctuation); Algebraic curve; Algebraic number; Pure mathematics; Moduli; Mathematical analysis; Algebra over a field; Computer science; Physics","score_opus":0.0494328203338548,"score_gpt":0.3195501501307472,"score_spread":0.2701173297968924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951061741","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9437905,0.0018797572,0.023691565,0.0009529235,0.00014176957,0.00003023159,0.00024023106,0.00009640841,0.029176665],"genre_scores_gemma":[0.99054235,0.00072024897,0.0025180418,0.00003207761,0.00018756073,0.00002161962,0.00015241833,0.000020713942,0.005805016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997216,0.000047385358,0.000013378662,0.000054102053,0.000090455396,0.000073107774],"domain_scores_gemma":[0.99957496,0.00009640358,0.00013374882,0.000028380658,0.00005601366,0.00011060866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055458775,0.00093707175,0.00045663485,0.0025637823,0.0010031444,0.0025329937,0.00064373994,0.00084704586,0.00446186],"category_scores_gemma":[0.0011972112,0.0002328426,0.00031080423,0.0014902921,0.0017583315,0.004582689,0.0013912123,0.0008348182,0.00048853585],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006588914,0.000029894001,0.000862967,0.00006766891,0.0000125607785,0.00027654355,0.0004016751,0.0025204457,0.0029621788,0.9838974,0.00062917825,0.008273473],"study_design_scores_gemma":[0.000036672358,0.00012465159,0.0015494017,0.000041852836,0.000019808796,0.0005739802,0.00048422563,0.024575798,0.0030356767,0.96379447,0.0057304776,0.00003291973],"about_ca_topic_score_codex":0.00038327955,"about_ca_topic_score_gemma":0.00021422084,"teacher_disagreement_score":0.00446186,"about_ca_system_score_codex":0.00069534575,"about_ca_system_score_gemma":0.00039342983,"threshold_uncertainty_score":0.014926374},"labels":[],"label_agreement":null},{"id":"W2951268811","doi":"10.1017/s0305004109002424","title":"A converse to the Grace--Walsh--Szeg\\H{o} theorem","year":2008,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Mathematics; Converse; Permutation group; Permutation (music); Class (philosophy); Pure mathematics; Homogeneous; Coincidence; Characterization (materials science); Multiplication (music); Discrete mathematics; Combinatorics; Computer science; Physics","score_opus":0.10719605272699288,"score_gpt":0.20973969898030723,"score_spread":0.10254364625331434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951268811","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3034088,0.0004557988,0.42428362,0.0072023515,0.0013917382,0.00013070124,0.0010486222,0.00067098025,0.2614073],"genre_scores_gemma":[0.9573996,0.00033265378,0.02339903,0.0013433779,0.0005996738,0.000088786466,0.00041620465,0.00009749063,0.01632327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938047,0.00008507999,0.00004403167,0.00022960977,0.0001474943,0.000113268274],"domain_scores_gemma":[0.99906546,0.00023975062,0.00014538005,0.00022989338,0.0001877572,0.00013178158],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010513073,0.00033208844,0.00040060552,0.00056410825,0.0010511721,0.0016195177,0.0004324812,0.00063091685,0.008390914],"category_scores_gemma":[0.0017664572,0.00014499326,0.00079853286,0.00040506897,0.0022819638,0.0028482706,0.002171462,0.0013596222,0.0013406639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042941152,0.0000141401,0.0005313064,0.000030629337,0.000010186781,0.00013538728,0.00014878418,0.00038040144,0.0029723232,0.98564583,0.0028368516,0.007251256],"study_design_scores_gemma":[0.000041420626,0.00014158837,0.002162378,0.000016042679,0.000021492897,0.0009830848,0.00022740102,0.008682203,0.010343911,0.95233256,0.025015809,0.00003219922],"about_ca_topic_score_codex":0.0004883329,"about_ca_topic_score_gemma":0.00036830618,"teacher_disagreement_score":0.008390914,"about_ca_system_score_codex":0.000446665,"about_ca_system_score_gemma":0.0005765312,"threshold_uncertainty_score":0.02807039},"labels":[],"label_agreement":null},{"id":"W2951386794","doi":"10.48550/arxiv.1302.0639","title":"Separating invariants for arbitrary linear actions of the additive group","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Group (periodic table); Representation (politics); Group action; Set (abstract data type); Pure mathematics; Ring (chemistry); Zero (linguistics); Field (mathematics); Algebra over a field; Computer science; Physics","score_opus":0.162627491962879,"score_gpt":0.2566458982805153,"score_spread":0.0940184063176363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951386794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78132826,0.00050227024,0.12913333,0.0007364576,0.00024632365,0.00005379749,0.0001876852,0.00042155618,0.08739031],"genre_scores_gemma":[0.9772469,0.0002282067,0.010907383,0.00009799867,0.00016321724,0.000026511663,0.00013441437,0.000070505404,0.011124845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994653,0.000070001246,0.000030151095,0.00008708557,0.00018532122,0.00016217335],"domain_scores_gemma":[0.9995378,0.00011797565,0.00011784622,0.00006313571,0.00003832005,0.0001248174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065866765,0.0007563532,0.0004111481,0.0019025047,0.0010580618,0.002397106,0.00084061624,0.00055608543,0.0038107343],"category_scores_gemma":[0.00086419226,0.00025570713,0.00074060686,0.0007827108,0.0032480978,0.0035571593,0.0020281128,0.001617995,0.0006786935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016085147,0.000017092694,0.0001262884,0.000012721001,0.0000030239876,0.000071673756,0.00018902656,0.0007527061,0.001264274,0.99489635,0.00018692912,0.0024638304],"study_design_scores_gemma":[0.00001538362,0.00004634534,0.00034250223,0.000012857087,0.0000145391605,0.00017112793,0.00018794673,0.007903426,0.0034799941,0.98438895,0.0034090383,0.000028007546],"about_ca_topic_score_codex":0.0005113305,"about_ca_topic_score_gemma":0.00043523894,"teacher_disagreement_score":0.0038107343,"about_ca_system_score_codex":0.0010463379,"about_ca_system_score_gemma":0.00037966677,"threshold_uncertainty_score":0.012748182},"labels":[],"label_agreement":null},{"id":"W2951463869","doi":"10.1088/1751-8113/45/12/125201","title":"Six types of<i>E</i>-functions of the Lie groups<i>O</i>(5) and<i>G</i>(2)","year":2012,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Advanced Algebra and Geometry","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":"Université de Montréal","funders":"","keywords":"Lie group; Pure mathematics; Mathematics; Context (archaeology); Simple (philosophy); Simple Lie group; Algebra over a field; Psychology; Philosophy; Epistemology; Geography","score_opus":0.014472770303602113,"score_gpt":0.2657851231556591,"score_spread":0.251312352852057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951463869","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6337815,0.0035655543,0.23730046,0.001015132,0.0005580703,0.0001537841,0.0007331991,0.00052391907,0.1223683],"genre_scores_gemma":[0.9347119,0.001807509,0.03642532,0.00025280815,0.00030574508,0.00018540963,0.00062426506,0.00014005441,0.025547005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997063,0.000053026033,0.000021365671,0.000053974967,0.00009213212,0.00007323882],"domain_scores_gemma":[0.9993806,0.00012191973,0.00015262554,0.00008372047,0.00011107547,0.00015012265],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049956335,0.0010104501,0.0004082931,0.0025804194,0.00089736586,0.0018719061,0.0007525198,0.001141645,0.003798609],"category_scores_gemma":[0.0012240624,0.00022791939,0.00078939565,0.001439461,0.002298733,0.0023241763,0.0010485307,0.0010909578,0.0007577791],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001283635,0.000054690758,0.0029418292,0.00014562464,0.000023642768,0.00042770678,0.00063559966,0.0016047067,0.004859067,0.9496098,0.0024174065,0.03715161],"study_design_scores_gemma":[0.000052798256,0.00022706656,0.009049061,0.00019108673,0.000047351437,0.0027260815,0.0014977043,0.021000786,0.0096769035,0.9183617,0.03697505,0.00019434837],"about_ca_topic_score_codex":0.00026364773,"about_ca_topic_score_gemma":0.00021525091,"teacher_disagreement_score":0.003798609,"about_ca_system_score_codex":0.00049523753,"about_ca_system_score_gemma":0.0004717926,"threshold_uncertainty_score":0.012707591},"labels":[],"label_agreement":null},{"id":"W2951467638","doi":"10.1090/tran6664","title":"Orbifolds of symplectic fermion algebras","year":2015,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Upper and lower bounds; Automorphism; Symplectic geometry; Rank (graph theory); Type (biology); Automorphism group","score_opus":0.04501532569170567,"score_gpt":0.32400686827483005,"score_spread":0.27899154258312436,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951467638","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7163641,0.0028962332,0.048846364,0.0015755431,0.00024471612,0.000086489876,0.0004023083,0.00037351888,0.22921064],"genre_scores_gemma":[0.971049,0.0011544612,0.009397024,0.00012686297,0.00013956285,0.0000480102,0.00029236934,0.00010999679,0.017682604],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960774,0.00008812458,0.000024579369,0.00006109511,0.00012963545,0.000088903966],"domain_scores_gemma":[0.9997583,0.000053548625,0.000034275432,0.000051794006,0.00004695461,0.000055034623],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005437852,0.0005694993,0.000592671,0.0019541152,0.0018406914,0.002091346,0.00042045876,0.0005150111,0.0106094545],"category_scores_gemma":[0.0010845565,0.00023033314,0.0005383942,0.0011029021,0.0016901612,0.0030447245,0.0016712435,0.00098626,0.0008305949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015438769,0.000014906311,0.000493161,0.000043953787,0.0000037523114,0.00017837992,0.0003295148,0.00066311273,0.00089639734,0.9904461,0.0008207503,0.006094449],"study_design_scores_gemma":[0.000013504143,0.000022662636,0.0010200002,0.000037169113,0.000007027745,0.00031513433,0.0004455577,0.005769936,0.0010268557,0.9837896,0.007538042,0.0000144793075],"about_ca_topic_score_codex":0.0016869484,"about_ca_topic_score_gemma":0.0013542488,"teacher_disagreement_score":0.0106094545,"about_ca_system_score_codex":0.00086653035,"about_ca_system_score_gemma":0.00060607365,"threshold_uncertainty_score":0.035492122},"labels":[],"label_agreement":null},{"id":"W2951685267","doi":"10.48550/arxiv.0812.3684","title":"Loop groups and holomorphic bundles","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Holomorphic function; Flag (linear algebra); Automorphism; Pure mathematics; Moduli; Instanton; Group (periodic table); Moduli space; Loop (graph theory); Geometry; Algebra over a field; Combinatorics; Physics; Mathematical physics","score_opus":0.09009332061514386,"score_gpt":0.31296749397931234,"score_spread":0.22287417336416848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951685267","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91424966,0.0026786227,0.01625427,0.0017606133,0.00012767532,0.000018958952,0.00012463484,0.00011772044,0.06466794],"genre_scores_gemma":[0.99023694,0.00053875503,0.0011328289,0.000052329222,0.00016103877,0.000005184428,0.000054874665,0.000015064492,0.00780306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99980193,0.000044756733,0.0000076052306,0.000042519503,0.000060016057,0.0000430666],"domain_scores_gemma":[0.99965346,0.000090978065,0.00008621076,0.000029666478,0.000049597315,0.00009021121],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027450046,0.00047597772,0.0002294135,0.0018112115,0.0009564894,0.0017129072,0.00026847873,0.00056979054,0.0044992296],"category_scores_gemma":[0.00090832997,0.00014794536,0.00021356721,0.0006522469,0.0018654312,0.0030337956,0.0011232825,0.00064360525,0.00048429804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003692697,0.000019231009,0.0011137753,0.000031491953,0.000010122979,0.00022774935,0.0009217896,0.0012444212,0.0025614328,0.98463863,0.00069714297,0.008497299],"study_design_scores_gemma":[0.000014233935,0.00003817512,0.0016443079,0.000015079292,0.000006130276,0.00023505994,0.00034541672,0.003972064,0.00093804183,0.9855298,0.007250555,0.000011124564],"about_ca_topic_score_codex":0.00073651207,"about_ca_topic_score_gemma":0.00042552728,"teacher_disagreement_score":0.0044992296,"about_ca_system_score_codex":0.00069574546,"about_ca_system_score_gemma":0.00018590623,"threshold_uncertainty_score":0.0150514245},"labels":[],"label_agreement":null},{"id":"W2951971342","doi":"10.48550/arxiv.0806.1538","title":"A basis of bideterminants for the coordinate ring of the orthogonal group","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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; Ring (chemistry); Group (periodic table); Basis (linear algebra); Combinatorics; Orthogonal basis; Symmetric group; Product (mathematics); Pure mathematics; Field (mathematics); Tensor product; Orthogonal group; Geometry; Physics; Chemistry","score_opus":0.09603991186807638,"score_gpt":0.3302045125577789,"score_spread":0.23416460068970252,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951971342","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46328875,0.0012112007,0.37348062,0.0013250955,0.0010735972,0.0002325635,0.0014009331,0.0006528444,0.15733445],"genre_scores_gemma":[0.88079464,0.0006430309,0.088483974,0.00021609936,0.00028126,0.00018536899,0.0010600357,0.0001898784,0.028145658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994236,0.00011423203,0.00004223886,0.000100234414,0.00017759345,0.00014202071],"domain_scores_gemma":[0.999567,0.00006287688,0.00005707757,0.000058766094,0.00011868112,0.00013556186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085922313,0.0006763993,0.0004711634,0.0013260375,0.0013676169,0.002204768,0.0006533493,0.00041692075,0.0065123998],"category_scores_gemma":[0.0006810419,0.00031560025,0.0005506746,0.0006149802,0.0013109603,0.0017197184,0.0019773648,0.0014500716,0.002060849],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007768228,0.00003938924,0.0004160486,0.00004310425,0.0000050751523,0.0001371403,0.00035535684,0.0005896883,0.0053699007,0.9778161,0.0017747132,0.0133757545],"study_design_scores_gemma":[0.000060623304,0.00023294118,0.0015118193,0.000038304384,0.000021781163,0.0005200727,0.00035385182,0.0062070484,0.009116981,0.9114744,0.070390806,0.000071325725],"about_ca_topic_score_codex":0.0005973345,"about_ca_topic_score_gemma":0.00060710596,"teacher_disagreement_score":0.0065123998,"about_ca_system_score_codex":0.0006777104,"about_ca_system_score_gemma":0.00055220386,"threshold_uncertainty_score":0.021786153},"labels":[],"label_agreement":null},{"id":"W2952295140","doi":"10.48550/arxiv.math/0506625","title":"Nonabelian cohomology with coefficients in Lie groups","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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":"Surjective function; Mathematics; Bijection; Maximal torus; Group (periodic table); Lie group; Torus; Combinatorics; Pure mathematics; Supergroup; Physics; Lie algebra; Fundamental representation; Geometry","score_opus":0.05222794534927134,"score_gpt":0.3186485396675346,"score_spread":0.26642059431826326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952295140","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93691534,0.0008205699,0.021591831,0.0007586498,0.00014804576,0.000022050519,0.000075766315,0.00009299548,0.039574713],"genre_scores_gemma":[0.9947916,0.00027209226,0.001548736,0.000034025696,0.0001057655,0.000009479009,0.000058506543,0.000016043043,0.0031636818],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995703,0.00007257319,0.000014724436,0.00006921984,0.00012981877,0.00014340921],"domain_scores_gemma":[0.999408,0.00020316996,0.00011598465,0.00004363933,0.00008014446,0.00014894555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043248283,0.0005667871,0.00040046696,0.0012753474,0.0011543868,0.001370097,0.0005409417,0.00048477447,0.004764624],"category_scores_gemma":[0.0011589421,0.00023604285,0.00040333715,0.0007649857,0.0022516856,0.0034537255,0.0016746289,0.0011175409,0.00045074697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051834715,0.000046468816,0.0017780825,0.00010262149,0.000011150101,0.00046225122,0.0014755421,0.001407058,0.00642908,0.98051834,0.000554015,0.0071634036],"study_design_scores_gemma":[0.0000358761,0.0000850606,0.0033191445,0.000032330812,0.000015876227,0.00048802755,0.0008227442,0.008602004,0.0071607414,0.9721772,0.0072237416,0.000037238202],"about_ca_topic_score_codex":0.0008770754,"about_ca_topic_score_gemma":0.0006755518,"teacher_disagreement_score":0.004764624,"about_ca_system_score_codex":0.0008821444,"about_ca_system_score_gemma":0.0003902544,"threshold_uncertainty_score":0.015939236},"labels":[],"label_agreement":null},{"id":"W2952487193","doi":"10.48550/arxiv.0909.5670","title":"Compatible intertwiners for representations of finite nilpotent groups","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Pure mathematics; Functor; Mathematics; Nilpotent; Symplectic geometry; Abelian group; Parameterized complexity; Algebra over a field; Representation theory; Lie group; Combinatorics","score_opus":0.14512424090775475,"score_gpt":0.26536872833751063,"score_spread":0.12024448742975588,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952487193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76207006,0.00044740006,0.19101872,0.00078000134,0.00019677005,0.0000816079,0.00009475208,0.0003040603,0.04500668],"genre_scores_gemma":[0.97622675,0.00015761079,0.017652735,0.00010167621,0.000110835215,0.000059345,0.00006959446,0.00009118369,0.00553031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991278,0.00018938497,0.000060955925,0.00016355116,0.00029690255,0.0001613691],"domain_scores_gemma":[0.9991854,0.00019242246,0.00015357051,0.00016423472,0.00008948988,0.0002149955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010090215,0.00044646472,0.00040769204,0.0016877926,0.0014366151,0.002475059,0.00079750054,0.0010215524,0.003342561],"category_scores_gemma":[0.0020720253,0.0002974351,0.00070429017,0.00064153684,0.0024890287,0.005309837,0.0029111428,0.0019410786,0.00054424204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012554844,0.000022769513,0.00017035705,0.000010437913,0.0000030184833,0.000118412994,0.00040131426,0.0003309681,0.0019005318,0.9943856,0.00013338999,0.0025106193],"study_design_scores_gemma":[0.000013166598,0.00004423301,0.00018519521,0.000013019819,0.0000060634284,0.0001825967,0.00022775686,0.006179739,0.001746007,0.9890097,0.002380529,0.000012082258],"about_ca_topic_score_codex":0.00017894623,"about_ca_topic_score_gemma":0.00019632692,"teacher_disagreement_score":0.003342561,"about_ca_system_score_codex":0.00075810635,"about_ca_system_score_gemma":0.00032203927,"threshold_uncertainty_score":0.01118201},"labels":[],"label_agreement":null},{"id":"W2952894903","doi":"","title":"BRANCHING SCHUBERT CALCULUS AND THE BELKALE-KUMAR PRODUCT ON COHOMOLOGY","year":2009,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Schubert calculus; Branching (polymer chemistry); Mathematics; Product (mathematics); Cohomology; Calculus (dental); Pure mathematics; Geometry; Chemistry; Medicine; Organic chemistry","score_opus":0.01736257912832266,"score_gpt":0.3029630134926283,"score_spread":0.2856004343643056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952894903","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47386718,0.0033003641,0.326688,0.0038849488,0.00075702043,0.0000950102,0.00020939345,0.0002741187,0.190924],"genre_scores_gemma":[0.9619243,0.00061719655,0.021048922,0.0002686763,0.00042042375,0.00004916988,0.00006440408,0.00004971965,0.01555718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992931,0.00018859148,0.000026457574,0.00010230939,0.00027718273,0.00011230317],"domain_scores_gemma":[0.99918014,0.00017964838,0.00010506857,0.00009012078,0.00016453219,0.0002805553],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001028472,0.00042323407,0.00046846824,0.0013816436,0.0017876645,0.0020292867,0.00090487173,0.0008046451,0.0056164833],"category_scores_gemma":[0.0019517025,0.00024621523,0.00046563387,0.0010536225,0.0038093333,0.0053771185,0.0028739679,0.0018206605,0.00055909296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005732652,0.0000060670195,0.00007114971,0.000009355999,0.0000013580021,0.000034362176,0.00011802614,0.00016275913,0.00025470802,0.9973246,0.00028356203,0.0017283991],"study_design_scores_gemma":[0.0000063208995,0.000017569995,0.00024946238,0.0000069042053,0.0000031477032,0.00013256719,0.00008087603,0.0023695724,0.0003155419,0.9935921,0.003216422,0.000009609648],"about_ca_topic_score_codex":0.00036179763,"about_ca_topic_score_gemma":0.0003482689,"teacher_disagreement_score":0.0056164833,"about_ca_system_score_codex":0.0008473639,"about_ca_system_score_gemma":0.00045946092,"threshold_uncertainty_score":0.018788993},"labels":[],"label_agreement":null},{"id":"W2952952590","doi":"10.48550/arxiv.1306.3997","title":"The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Monomial; Unitary state; Pure mathematics; Irreducible representation; Unitary group; Induced representation; Ring (chemistry); Multiplicity (mathematics); Extension (predicate logic); Rank (graph theory); Quadratic equation; Commutative ring; Character (mathematics); Group (periodic table); Trivial representation; Combinatorics; Algebra over a field; Commutative property; Mathematical analysis; Algebra representation; Physics","score_opus":0.10222194074333585,"score_gpt":0.24131968381260654,"score_spread":0.1390977430692707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952952590","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9352516,0.00020570167,0.032014836,0.00054093706,0.00015797645,0.000039458762,0.00010540937,0.00019072906,0.031493314],"genre_scores_gemma":[0.98678905,0.00010020275,0.0051747127,0.000060817605,0.00011540604,0.000018366736,0.00007443518,0.0000397637,0.007627212],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996294,0.00005860404,0.000012113146,0.00006124577,0.00007277251,0.00016584403],"domain_scores_gemma":[0.9997371,0.00005040463,0.000064178406,0.000029939436,0.000018784393,0.000099454475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045477043,0.0005453993,0.00053653255,0.0014087678,0.0019259773,0.0024114891,0.0005063344,0.0007544089,0.005247927],"category_scores_gemma":[0.0008612436,0.00026299848,0.00057297375,0.00080408395,0.0026405186,0.0024350907,0.0018739606,0.001160267,0.00058689964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013044197,0.000053927837,0.0010259993,0.000045645214,0.0000102628055,0.000631487,0.00133862,0.0011416976,0.010063729,0.9755373,0.0008227669,0.009198134],"study_design_scores_gemma":[0.00005771656,0.00023979104,0.0026869313,0.000049448587,0.00003935672,0.0013133835,0.0013556473,0.013370812,0.021082893,0.9468356,0.01288811,0.000080375044],"about_ca_topic_score_codex":0.00041361884,"about_ca_topic_score_gemma":0.00035891315,"teacher_disagreement_score":0.005247927,"about_ca_system_score_codex":0.0007438056,"about_ca_system_score_gemma":0.00042747657,"threshold_uncertainty_score":0.017556071},"labels":[],"label_agreement":null},{"id":"W2952961127","doi":"10.48550/arxiv.0804.0600","title":"Special cycles on unitary Shimura varieties I. unramified local theory","year":2008,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Shimura variety; Mathematics; Invertible matrix; Unitary state; Homomorphism; Pure mathematics; Locus (genetics); Scheme (mathematics); Mathematical analysis; Modular form","score_opus":0.09734389552831356,"score_gpt":0.21973186523620683,"score_spread":0.12238796970789327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952961127","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96761227,0.00056241325,0.014839944,0.0001599207,0.000027790658,0.00002329571,0.000071382085,0.0000924263,0.016610585],"genre_scores_gemma":[0.99246866,0.00019181408,0.003096586,0.000020343894,0.000039641665,0.000020955897,0.00006002794,0.000018499883,0.0040834085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997576,0.000040140858,0.0000137329,0.000053503816,0.000066196866,0.00006887351],"domain_scores_gemma":[0.9995783,0.000060218637,0.000095570256,0.000050097224,0.000046974732,0.00016884],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034495463,0.00037348858,0.0003856165,0.0016939912,0.0012237991,0.0016656638,0.00043791722,0.00043369556,0.002614128],"category_scores_gemma":[0.00088511565,0.0002930522,0.00038264773,0.0007951903,0.002136567,0.0025005331,0.0014409518,0.0007353244,0.00027052223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041414714,0.000019279736,0.001090255,0.000029981284,0.000004468738,0.00018283643,0.0006091686,0.0012431099,0.0026530465,0.98722756,0.00026301498,0.0066357832],"study_design_scores_gemma":[0.000022288908,0.00007810087,0.0029948605,0.00003684681,0.000012936235,0.00035659055,0.00055018475,0.012201307,0.00417689,0.9742921,0.0052486956,0.000029284223],"about_ca_topic_score_codex":0.0007721393,"about_ca_topic_score_gemma":0.0009038889,"teacher_disagreement_score":0.002614128,"about_ca_system_score_codex":0.0012495004,"about_ca_system_score_gemma":0.00034213782,"threshold_uncertainty_score":0.0090658665},"labels":[],"label_agreement":null},{"id":"W2953107752","doi":"10.48550/arxiv.math/0311353","title":"Good orbital integrals","year":2003,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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":"","keywords":"Physics; Mathematical physics; Mathematics","score_opus":0.09218272468532798,"score_gpt":0.34396424924336316,"score_spread":0.25178152455803515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953107752","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74884146,0.0013235942,0.10669087,0.0010846896,0.00023420416,0.00004768694,0.00032862814,0.00044938066,0.14099947],"genre_scores_gemma":[0.9853918,0.0003068176,0.0042410945,0.0000866171,0.00016218341,0.000016485112,0.00011693046,0.00006717801,0.009610768],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932873,0.000063541724,0.000026437328,0.00011355648,0.0002846917,0.00018298122],"domain_scores_gemma":[0.9993413,0.00014746068,0.0001190935,0.000118447315,0.00012592957,0.00014765559],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063736894,0.00038197078,0.00059598987,0.0020416123,0.002415528,0.0029917704,0.00047567606,0.00068763323,0.0059055486],"category_scores_gemma":[0.0018999885,0.00022943516,0.00066523656,0.0012363855,0.0027395189,0.0040793447,0.0017602987,0.0012818016,0.00070998294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014103386,0.000007309626,0.00045491976,0.000013458982,0.000004266543,0.00008307562,0.00015967543,0.00037980368,0.00047522434,0.9946361,0.00050139683,0.0032704908],"study_design_scores_gemma":[0.000008025603,0.000019196596,0.0007762978,0.000013661975,0.0000079892225,0.000304187,0.00015854162,0.0030322112,0.0008192949,0.99017733,0.004672515,0.000010682639],"about_ca_topic_score_codex":0.0008555117,"about_ca_topic_score_gemma":0.0006741905,"teacher_disagreement_score":0.0059055486,"about_ca_system_score_codex":0.0013159228,"about_ca_system_score_gemma":0.0005119335,"threshold_uncertainty_score":0.01975602},"labels":[],"label_agreement":null},{"id":"W2953218687","doi":"10.1134/s0040577918110016","title":"Discriminant Circle Bundles over Local Models of Strebel Graphs and Boutroux Curves","year":2018,"lang":"en","type":"article","venue":"Theoretical and Mathematical Physics","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"","keywords":"Meromorphic function; Moduli space; Riemann sphere; Discriminant; Riemann surface; Quadratic equation; Modular form; Quadratic differential; Modular equation","score_opus":0.019944776830130108,"score_gpt":0.2893807696219817,"score_spread":0.2694359927918516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953218687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9783943,0.00024052995,0.00665466,0.00021529157,0.000023838049,0.000011255583,0.000027986533,0.000046999092,0.014385146],"genre_scores_gemma":[0.99468935,0.00011845877,0.0016041731,0.000017303513,0.000031437372,0.000009474691,0.000047882077,0.000013384233,0.003468588],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982196,0.000034571243,0.000006324886,0.000037215024,0.00004697117,0.000053046984],"domain_scores_gemma":[0.99976903,0.000029085331,0.0000625347,0.000021363976,0.000021403557,0.00009650224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025355665,0.000666593,0.00041836035,0.0019846568,0.0011017265,0.0017525053,0.0005117272,0.00069795427,0.002727865],"category_scores_gemma":[0.0007186448,0.00028338877,0.00038873387,0.0006942046,0.0017587626,0.0022460415,0.0011035159,0.0007002462,0.00028268446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009283271,0.000053390493,0.0024250997,0.000040649662,0.000015461837,0.0007239461,0.0008382167,0.007621177,0.0054632276,0.9781788,0.0004347021,0.0041126064],"study_design_scores_gemma":[0.00006940978,0.00014244951,0.0069802767,0.00004862573,0.0000259733,0.0011709016,0.0012065743,0.08356336,0.004185393,0.8963059,0.006251702,0.00004930126],"about_ca_topic_score_codex":0.0015188465,"about_ca_topic_score_gemma":0.0013749715,"teacher_disagreement_score":0.002727865,"about_ca_system_score_codex":0.0012999685,"about_ca_system_score_gemma":0.0002502891,"threshold_uncertainty_score":0.009431958},"labels":[],"label_agreement":null},{"id":"W2953320649","doi":"10.48550/arxiv.1401.7189","title":"Negative index Jacobi forms and quantum modular forms","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Modular form; Pure mathematics; Theta function; Meromorphic function; Modularity (biology); Rank (graph theory); Class (philosophy); Quantum; Algebra over a field; Combinatorics; Computer science; Quantum mechanics","score_opus":0.06135991423752074,"score_gpt":0.21890567079049866,"score_spread":0.15754575655297792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953320649","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.788055,0.0019815164,0.07884875,0.0014479943,0.00033498622,0.000040676303,0.00009903,0.00011153734,0.12908056],"genre_scores_gemma":[0.97409546,0.00059168704,0.007888408,0.00013610689,0.00023000753,0.000015302157,0.000044922774,0.000035832636,0.016962241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998153,0.000029660192,0.0000066594953,0.00003220907,0.000075370815,0.00004084594],"domain_scores_gemma":[0.99969625,0.0000651134,0.000054199834,0.00004016761,0.000062498075,0.00008178571],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003640802,0.0005061272,0.00034271547,0.0012503964,0.0008272132,0.0014086089,0.0005137491,0.0006146594,0.0040708627],"category_scores_gemma":[0.001281646,0.00016967507,0.00029637726,0.00065622304,0.0021959865,0.0025463027,0.0007476207,0.000964821,0.00041048368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009406961,0.000007076842,0.00032015744,0.000020499563,0.0000023177436,0.00010358594,0.00024368979,0.00041574592,0.002024518,0.99305856,0.00036351976,0.0034308936],"study_design_scores_gemma":[0.000012666437,0.00003355121,0.0011711613,0.00002721637,0.0000067038904,0.0010235836,0.00035767572,0.011478061,0.0017908079,0.9739498,0.0101244375,0.000024425186],"about_ca_topic_score_codex":0.00047673896,"about_ca_topic_score_gemma":0.00037409918,"teacher_disagreement_score":0.0040708627,"about_ca_system_score_codex":0.00046834574,"about_ca_system_score_gemma":0.00037274303,"threshold_uncertainty_score":0.01361835},"labels":[],"label_agreement":null},{"id":"W2955195173","doi":"10.46298/epiga.2022.6986","title":"$G$-fixed Hilbert schemes on $K3$ surfaces, modular forms, and eta products","year":2022,"lang":"en","type":"article","venue":"Épijournal de Géométrie Algébrique","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"","keywords":"Mathematics; Cusp form; Congruence subgroup; Modular form; Holomorphic function; Modular group; Symplectic geometry; Combinatorics; Pure mathematics; Invariant (physics); Mathematical physics","score_opus":0.024615084609623198,"score_gpt":0.28137839283395155,"score_spread":0.25676330822432836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955195173","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23094288,0.005141745,0.031127147,0.22098273,0.011275295,0.00007005164,0.0011676037,0.00070469285,0.4985878],"genre_scores_gemma":[0.861969,0.0022231007,0.005436157,0.013300581,0.0020366875,0.000077186996,0.00029827637,0.00020869923,0.11445038],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997286,0.00006131299,0.000016118835,0.00006114225,0.00008507645,0.00004772825],"domain_scores_gemma":[0.9993486,0.00023567265,0.00007212768,0.00010701196,0.00016037059,0.00007632565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000610542,0.00025995163,0.00020780104,0.00052923197,0.0016270167,0.001363239,0.000766495,0.0017128836,0.012515673],"category_scores_gemma":[0.0026975907,0.00010518305,0.00032496118,0.0005227338,0.0028255468,0.0036671495,0.0013349233,0.0026600598,0.0017073733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030808787,0.000004444493,0.00031167569,0.000033045635,0.0000037854984,0.0001920288,0.0004329659,0.00020655549,0.00046699934,0.96499443,0.029096823,0.004226438],"study_design_scores_gemma":[0.000029133922,0.000030161418,0.0019217968,0.00008848716,0.0000065248114,0.0005757517,0.00076187105,0.0018137058,0.0026822414,0.78896016,0.20308785,0.00004217899],"about_ca_topic_score_codex":0.0016501892,"about_ca_topic_score_gemma":0.0012607841,"teacher_disagreement_score":0.012515673,"about_ca_system_score_codex":0.0014032492,"about_ca_system_score_gemma":0.000323209,"threshold_uncertainty_score":0.041869044},"labels":[],"label_agreement":null},{"id":"W2956261656","doi":"10.4171/dm/774","title":"On the Fibres of Mishchenko-Fomenko Systems","year":2020,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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","score_opus":0.0632923043407717,"score_gpt":0.3119978311960995,"score_spread":0.24870552685532776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2956261656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8677322,0.001359543,0.03502236,0.0011439758,0.00008916351,0.000043062864,0.00018310314,0.00013276927,0.09429376],"genre_scores_gemma":[0.98679113,0.00039509448,0.005512603,0.00007095527,0.00008266551,0.000035456,0.00011654482,0.000032853735,0.0069625317],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996517,0.00006417666,0.000014520886,0.00005217088,0.000118276934,0.000099143144],"domain_scores_gemma":[0.99950194,0.00012428126,0.000097895245,0.00006366745,0.0000772411,0.00013498699],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005631115,0.00036420845,0.00044052204,0.0014529368,0.0019517443,0.0015499198,0.00045215353,0.0007753146,0.0036971855],"category_scores_gemma":[0.0015945049,0.00028980806,0.000426963,0.000398025,0.002927628,0.0026522183,0.0016913579,0.001144934,0.0005115316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002246401,0.000008305465,0.00050923834,0.000019654168,0.0000034514426,0.00013678941,0.00048614838,0.0014050717,0.0010408519,0.99444807,0.0002951013,0.0016249522],"study_design_scores_gemma":[0.000010994336,0.0000239303,0.0014193022,0.0000542334,0.0000042721017,0.0001501731,0.0002602163,0.0093728285,0.0006076805,0.984976,0.0031065475,0.000013847472],"about_ca_topic_score_codex":0.0016301142,"about_ca_topic_score_gemma":0.00089590624,"teacher_disagreement_score":0.0036971855,"about_ca_system_score_codex":0.0012677007,"about_ca_system_score_gemma":0.00040406256,"threshold_uncertainty_score":0.012368321},"labels":[],"label_agreement":null},{"id":"W2959320824","doi":"10.14492/hokmj/1562810506","title":"The critical values of $L$-functions of base change for Hilbert modular forms","year":2019,"lang":"en","type":"article","venue":"Hokkaido Mathematical Journal","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Base change; Modular form; Pure mathematics; Modular design; Base (topology); Order (exchange); Algebra over a field; Mathematical analysis; Computer science","score_opus":0.05555925061247953,"score_gpt":0.3424449139138992,"score_spread":0.2868856633014197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2959320824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8849254,0.001601628,0.05645152,0.00072783325,0.00031060865,0.00006863614,0.00008183908,0.000253653,0.055578973],"genre_scores_gemma":[0.9917883,0.0005276289,0.0031829912,0.000079546175,0.00015309444,0.00004858889,0.000059146063,0.0000846043,0.0040761638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999619,0.00007973031,0.0000145605145,0.000069415524,0.0000659548,0.00015143609],"domain_scores_gemma":[0.99854916,0.0004357919,0.00022250878,0.0001350609,0.0002108142,0.00044667776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010372521,0.0011323032,0.00080922246,0.0037727081,0.002237158,0.0028587745,0.0011134658,0.0010878532,0.0050933817],"category_scores_gemma":[0.004924557,0.00040313357,0.00079274154,0.000994794,0.005103335,0.005322157,0.0019125546,0.0022048918,0.0006572717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013344265,0.000055548397,0.0013886273,0.00015188091,0.000020345158,0.00057685445,0.0010762352,0.0028271251,0.009165254,0.977357,0.00071300426,0.0065346793],"study_design_scores_gemma":[0.000040165403,0.000109099805,0.002341678,0.0000819908,0.00002924144,0.0005930358,0.0007034215,0.016838558,0.011981664,0.96447146,0.0027383126,0.00007129261],"about_ca_topic_score_codex":0.00034534506,"about_ca_topic_score_gemma":0.00017311708,"teacher_disagreement_score":0.0050933817,"about_ca_system_score_codex":0.0017530033,"about_ca_system_score_gemma":0.00076064776,"threshold_uncertainty_score":0.01703912},"labels":[],"label_agreement":null},{"id":"W2962679095","doi":"10.1090/ert/517","title":"Representations associated to small nilpotent orbits for complex Spin groups","year":2018,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"National Security Agency","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science","score_opus":0.08527502388849864,"score_gpt":0.38408397087693025,"score_spread":0.29880894698843163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962679095","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79593855,0.0006950125,0.08574553,0.0009918815,0.00034123773,0.00008312306,0.0003258766,0.0005024875,0.11537632],"genre_scores_gemma":[0.9770856,0.00028954583,0.0069216853,0.00011239525,0.00018064569,0.000041752515,0.0001792746,0.00012602769,0.015063122],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995142,0.00008345886,0.00002820356,0.0001039116,0.00015943577,0.00011077748],"domain_scores_gemma":[0.9995154,0.000114774455,0.00008770262,0.000084662075,0.00007698989,0.00012049983],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004076314,0.00038641965,0.00033472665,0.0017865313,0.0011581811,0.0024763625,0.00049863284,0.0006187957,0.008930195],"category_scores_gemma":[0.0014067106,0.00018781246,0.00036870738,0.0006566497,0.0019907912,0.0028093834,0.0017717791,0.0009421783,0.0011183769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022593978,0.0000142795,0.00027102185,0.00002677261,0.0000032592143,0.00009165471,0.00046551428,0.00037240697,0.0011885951,0.9916535,0.0005421883,0.0053482424],"study_design_scores_gemma":[0.0000144424785,0.000036748537,0.000859909,0.000020159036,0.0000076132283,0.00019318036,0.00038674392,0.004751867,0.0018170242,0.98562694,0.006269036,0.000016252556],"about_ca_topic_score_codex":0.0005487797,"about_ca_topic_score_gemma":0.00040140314,"teacher_disagreement_score":0.008930195,"about_ca_system_score_codex":0.0010786102,"about_ca_system_score_gemma":0.0003966493,"threshold_uncertainty_score":0.029874504},"labels":[],"label_agreement":null},{"id":"W2962690829","doi":"10.1142/s1793525312500124","title":"VOLUME-PRESERVING ACTIONS OF SIMPLE ALGEBRAIC ℚ-GROUPS ON LOW-DIMENSIONAL MANIFOLDS","year":2012,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Advanced Algebra and Geometry","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 Lethbridge","funders":"University of Chicago","keywords":"Mathematics; Simple (philosophy); Rank (graph theory); Manifold (fluid mechanics); Pure mathematics; Action (physics); Algebraic number; Algebraic group; Group (periodic table); Homomorphism; Dimension (graph theory); Simple group; Fundamental group; Isotropy; Combinatorics; Mathematical analysis","score_opus":0.029845964284706723,"score_gpt":0.3297850370273141,"score_spread":0.2999390727426074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962690829","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97138274,0.00015555383,0.016606934,0.00016179268,0.000031659092,0.000011218798,0.000021458478,0.000058854996,0.011569806],"genre_scores_gemma":[0.9940393,0.00012212672,0.0034211262,0.000035974906,0.00004980817,0.00001299387,0.00003637582,0.000011902303,0.0022703807],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997476,0.00005013869,0.000016397027,0.000046804693,0.00006658394,0.00007237869],"domain_scores_gemma":[0.9992823,0.00014414027,0.00018574514,0.00009343943,0.00006565913,0.00022873445],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041019867,0.0006765788,0.00038604022,0.000884702,0.0009303958,0.001224841,0.0004985687,0.000334496,0.0016374734],"category_scores_gemma":[0.00097349,0.00019124759,0.00054783165,0.0002951681,0.0029407358,0.0018572464,0.0020702179,0.0007092847,0.0002239459],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000142379,0.0000775787,0.001970784,0.000065483306,0.000027578248,0.00039658725,0.0014580728,0.005457719,0.02202248,0.95847,0.00043244922,0.009478804],"study_design_scores_gemma":[0.00005215786,0.00031599894,0.0021580332,0.000022392418,0.000031606392,0.00038697454,0.00055074075,0.02152005,0.014075782,0.9569506,0.0038991706,0.00003652794],"about_ca_topic_score_codex":0.00045483006,"about_ca_topic_score_gemma":0.0005788115,"teacher_disagreement_score":0.0016374734,"about_ca_system_score_codex":0.0005877208,"about_ca_system_score_gemma":0.00034339525,"threshold_uncertainty_score":0.0054778457},"labels":[],"label_agreement":null},{"id":"W2962698811","doi":"10.1016/j.jalgebra.2009.01.013","title":"Branching rules for unramified principal series representations of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"normal\">GL</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math> over a p-adic field","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"","keywords":"Mathematics; Multiplicity (mathematics); Series (stratigraphy); Branching (polymer chemistry); Scroll; Pure mathematics; Combinatorics; Mathematical analysis; Theology","score_opus":0.019302476652148008,"score_gpt":0.2742186147878377,"score_spread":0.2549161381356897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962698811","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31316653,0.0009198641,0.40839773,0.001498869,0.0007679839,0.00024142097,0.0008968852,0.0018422703,0.2722684],"genre_scores_gemma":[0.8897394,0.0006858204,0.053208012,0.0003919272,0.0002572504,0.00013360466,0.00060756964,0.0009826521,0.053993896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989967,0.00017208596,0.000069311805,0.00017349173,0.0003915902,0.00019682244],"domain_scores_gemma":[0.99780566,0.0009760019,0.00020959775,0.00025927596,0.000494068,0.00025541554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014078049,0.00047655404,0.0004237165,0.0021729057,0.001607612,0.003686541,0.0009918158,0.0010226191,0.012156351],"category_scores_gemma":[0.005078736,0.00044605613,0.0010101314,0.0011450028,0.0023320685,0.0043322938,0.0012911605,0.0028774969,0.00301087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034645705,0.000024364075,0.00021409053,0.00002351747,0.0000047680683,0.00020920992,0.00033286802,0.0004699746,0.0012829835,0.9877065,0.0015622255,0.008134935],"study_design_scores_gemma":[0.000018332354,0.00001071676,0.00013805238,0.000019696705,0.0000056875315,0.00015138695,0.00008179153,0.0039617466,0.0016862685,0.9902046,0.0037076864,0.000014138772],"about_ca_topic_score_codex":0.0010316013,"about_ca_topic_score_gemma":0.0011987031,"teacher_disagreement_score":0.012156351,"about_ca_system_score_codex":0.0011767368,"about_ca_system_score_gemma":0.00063972955,"threshold_uncertainty_score":0.040666997},"labels":[],"label_agreement":null},{"id":"W2962766422","doi":"10.1093/imrn/rns099","title":"The Belkale–Kumar Cup Product and Relative Lie Algebra Cohomology","year":2012,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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 Georgia","keywords":"Mathematics; Product (mathematics); Algebra over a field; Library science; Mathematics education; Computer science; Classics; History; Pure mathematics; Geometry","score_opus":0.14489987450613165,"score_gpt":0.45557329531929164,"score_spread":0.31067342081315996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962766422","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68130916,0.004172364,0.18534094,0.0018258292,0.00036795757,0.000048616675,0.00026317188,0.00022387547,0.12644812],"genre_scores_gemma":[0.9800254,0.0008766268,0.010067192,0.00011042535,0.00015347736,0.000027155724,0.00009119502,0.00005060359,0.008597865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994795,0.00010604474,0.000023425486,0.00009374171,0.00017685244,0.00012045322],"domain_scores_gemma":[0.9992956,0.00013508389,0.00012598025,0.00008705193,0.00013133636,0.00022477779],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010696012,0.00050731923,0.00048422784,0.0023670888,0.0019889134,0.0018913948,0.0007204414,0.000619072,0.005425855],"category_scores_gemma":[0.0019113092,0.0002874616,0.00052558235,0.0013076338,0.0026565872,0.005018073,0.0020141092,0.0010006455,0.000525241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009892503,0.0000057008074,0.00029923886,0.000030405536,0.000004876824,0.00008537217,0.0002167833,0.00058177055,0.00050860416,0.99506444,0.0005530405,0.002639872],"study_design_scores_gemma":[0.000006399006,0.00004943762,0.0014575416,0.000042191095,0.00001801103,0.000672225,0.00027323526,0.008643587,0.0015022573,0.97713876,0.0101631535,0.000033242453],"about_ca_topic_score_codex":0.00082277786,"about_ca_topic_score_gemma":0.00049584097,"teacher_disagreement_score":0.005425855,"about_ca_system_score_codex":0.00080593996,"about_ca_system_score_gemma":0.00044009942,"threshold_uncertainty_score":0.018151224},"labels":[],"label_agreement":null},{"id":"W2962846169","doi":"10.25537/dm.2017v22.397-422","title":"Potentially Crystalline Lifts of Certain Prescribed Types","year":2017,"lang":"en","type":"article","venue":"FIZ-Karlsruhe (eLiBM)","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Mathematical proof; Extension (predicate logic); Pure mathematics; Representation (politics); Inertial frame of reference; Algebra over a field; Geometry; Computer science; Law","score_opus":0.050907620027998327,"score_gpt":0.3352028169794198,"score_spread":0.28429519695142147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962846169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.788666,0.00023320912,0.13631745,0.00037193252,0.00020222586,0.00005334268,0.00021084928,0.00021953332,0.07372539],"genre_scores_gemma":[0.9688223,0.00020211213,0.01380472,0.000092800125,0.00011438836,0.00006205838,0.00023728934,0.00010609807,0.016558195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954045,0.000053091662,0.00002974505,0.00007274411,0.00016883956,0.00013514896],"domain_scores_gemma":[0.9993994,0.0001424285,0.000100974496,0.00010346667,0.00009907975,0.00015454969],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051367807,0.0003426108,0.00041043363,0.0013389731,0.0014656355,0.001736092,0.0004737315,0.0004935939,0.007833621],"category_scores_gemma":[0.0015160085,0.00033981213,0.0007826508,0.0006501959,0.001998787,0.0029208448,0.002187039,0.0014415756,0.00072057394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021929198,0.000012911245,0.0005837985,0.0000197662,0.000005613845,0.00019868834,0.00020362115,0.0004492815,0.00212432,0.9934187,0.0003332243,0.0026281117],"study_design_scores_gemma":[0.000030491405,0.00006301976,0.0011830606,0.00003300685,0.000019938916,0.0007215949,0.0005421847,0.008695512,0.008051923,0.9726527,0.00797815,0.000028375043],"about_ca_topic_score_codex":0.0004200053,"about_ca_topic_score_gemma":0.0005890294,"teacher_disagreement_score":0.007833621,"about_ca_system_score_codex":0.0006592055,"about_ca_system_score_gemma":0.00040081525,"threshold_uncertainty_score":0.026206076},"labels":[],"label_agreement":null},{"id":"W2962873037","doi":"10.1016/j.aim.2016.11.008","title":"On the T-leaves of some Poisson structures related to products of flag varieties","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Research Grants Council, University Grants Committee; School for Advanced Research","keywords":"Mathematics; Flag (linear algebra); Symplectic geometry; Pure mathematics; Maximal torus; Lie group; Lie algebra; Abelian group; Combinatorics; Algebra over a field; Fundamental representation","score_opus":0.016904888326550654,"score_gpt":0.302921579314784,"score_spread":0.28601669098823335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962873037","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8617299,0.0012194044,0.0719046,0.0018336099,0.00048708005,0.000072881034,0.00027762938,0.00020955846,0.062265303],"genre_scores_gemma":[0.97008115,0.0006634075,0.009329178,0.0003750473,0.0005427582,0.00005750215,0.0002703475,0.00012082045,0.018559856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999383,0.00015945877,0.00003197102,0.000116974705,0.00014568654,0.00016288023],"domain_scores_gemma":[0.9984993,0.00029018227,0.00033734008,0.000092858805,0.00019917572,0.00058118673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011974341,0.00094358507,0.0011250902,0.0036636738,0.003975135,0.0036499074,0.0015796773,0.0019624645,0.0070553557],"category_scores_gemma":[0.0022105868,0.00074817764,0.0015165536,0.0019067235,0.005363642,0.0057555623,0.0030430558,0.0033410517,0.0008495148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052245923,0.000032099248,0.00040699705,0.00002911603,0.000011095764,0.00027139037,0.0005403528,0.00062780094,0.0010555839,0.9943606,0.00046686566,0.0021458652],"study_design_scores_gemma":[0.00002439062,0.000038992534,0.0007398735,0.000021686537,0.0000115188195,0.00027878708,0.0003051476,0.0039356695,0.00034467364,0.9931252,0.001152732,0.000021392549],"about_ca_topic_score_codex":0.0014665498,"about_ca_topic_score_gemma":0.001441229,"teacher_disagreement_score":0.0070553557,"about_ca_system_score_codex":0.001708758,"about_ca_system_score_gemma":0.00087009376,"threshold_uncertainty_score":0.023602486},"labels":[],"label_agreement":null},{"id":"W2962940189","doi":"10.5802/aif.3115","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>ℒ</mml:mi> </mml:math> -invariants, partially de Rham families, and local-global compatibility","year":2017,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":18,"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","keywords":"Compatibility (geochemistry); Quaternion; Pure mathematics; Mathematics; Cohomology; Geometry; Engineering","score_opus":0.029471335949636874,"score_gpt":0.2795904316072136,"score_spread":0.25011909565757673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962940189","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.095791556,0.00054737955,0.7017547,0.002625681,0.0005449243,0.00017516773,0.0008738463,0.0019768695,0.19570988],"genre_scores_gemma":[0.76983804,0.00070539373,0.16418809,0.0017193122,0.00065407174,0.0003955327,0.0017269603,0.0018242216,0.05894834],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99818903,0.00027539962,0.00017056466,0.00046884062,0.0004915315,0.00040459973],"domain_scores_gemma":[0.99724835,0.00088449806,0.0003117909,0.000605657,0.0006909749,0.00025873803],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023549383,0.0007216312,0.00073667837,0.0017929944,0.0023810759,0.0029461419,0.0012733107,0.0013762343,0.013289973],"category_scores_gemma":[0.0044955853,0.00065302994,0.0018822262,0.0013200527,0.0034230927,0.009616907,0.0037117412,0.0033437489,0.0035277843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003308685,0.000022201262,0.00041173346,0.000032458745,0.000007491208,0.00014234312,0.00032396542,0.00041720667,0.0012495662,0.9851983,0.003072003,0.009089614],"study_design_scores_gemma":[0.000024293724,0.00004185084,0.00094852224,0.00004194538,0.000028484705,0.00036652043,0.0002372717,0.0047694943,0.0057895253,0.9537021,0.03399864,0.000051425348],"about_ca_topic_score_codex":0.0022120432,"about_ca_topic_score_gemma":0.0024681145,"teacher_disagreement_score":0.013289973,"about_ca_system_score_codex":0.0017315766,"about_ca_system_score_gemma":0.0012009352,"threshold_uncertainty_score":0.044459343},"labels":[],"label_agreement":null},{"id":"W2962940281","doi":"10.1016/j.jnt.2013.04.020","title":"On a uniformly distributed phenomenon in matrix groups","year":2013,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Phenomenon; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Epistemology; Philosophy","score_opus":0.013727541362041525,"score_gpt":0.30348897898622146,"score_spread":0.28976143762417994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962940281","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5311107,0.001192761,0.39774352,0.011925706,0.0007427496,0.00011410438,0.00027626514,0.000602045,0.056292206],"genre_scores_gemma":[0.97816133,0.0003509756,0.013019066,0.0006655267,0.0006943928,0.000080054,0.00009728119,0.00011655143,0.0068148635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99684924,0.0014741152,0.000117704774,0.0005657221,0.00061984104,0.0003733006],"domain_scores_gemma":[0.9784163,0.013389302,0.0015232437,0.0035357976,0.0015498911,0.001585394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0053127925,0.00070497516,0.0017861053,0.0027558685,0.0033476749,0.004121656,0.0024263207,0.002682474,0.0081788115],"category_scores_gemma":[0.028952096,0.0006284686,0.0011774662,0.0021726598,0.010248133,0.010729361,0.0061907806,0.004284728,0.0005864646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050508574,0.000012251072,0.00018611598,0.000016097436,0.000005260394,0.000051547766,0.00018503905,0.0006035396,0.0005759504,0.99621296,0.0004999286,0.0016008483],"study_design_scores_gemma":[0.00004748672,0.00003825572,0.00032134875,0.000015648006,0.000010458273,0.00018905934,0.00016001936,0.008724205,0.00048600713,0.9889414,0.0010439355,0.000022207134],"about_ca_topic_score_codex":0.00050560065,"about_ca_topic_score_gemma":0.00031545796,"teacher_disagreement_score":0.0081788115,"about_ca_system_score_codex":0.0015948731,"about_ca_system_score_gemma":0.00070071575,"threshold_uncertainty_score":0.028097034},"labels":[],"label_agreement":null},{"id":"W2962948053","doi":"10.5802/aif.2952","title":"On twisted exterior and symmetric square <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>γ</mml:mi> </mml:math> -factors","year":2015,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Pure mathematics; Spinor; Square (algebra); Uniqueness; Mathematical analysis; Mathematical physics; Geometry","score_opus":0.0388452932900482,"score_gpt":0.27920561500670377,"score_spread":0.24036032171665556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962948053","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83813983,0.00042769426,0.094310485,0.00050861173,0.00012393872,0.00004089155,0.00009442403,0.0002132372,0.06614085],"genre_scores_gemma":[0.9702851,0.00027397875,0.010343908,0.000106629304,0.0000854764,0.000023802857,0.00009446256,0.00011259227,0.018674029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996146,0.00006361102,0.000017575052,0.00011100129,0.00008204126,0.00011122307],"domain_scores_gemma":[0.9996087,0.00007658624,0.00007108473,0.000043511194,0.00008080021,0.000119249606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037764135,0.0005262899,0.00040766055,0.0010028692,0.0011508595,0.0011387527,0.00028679695,0.00034585345,0.005542829],"category_scores_gemma":[0.0009658893,0.000238511,0.0007444736,0.0003937867,0.002521308,0.0020010122,0.00153138,0.0008576841,0.0009381263],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051586503,0.000022711562,0.0010769356,0.000040069124,0.000007932275,0.00038252168,0.0008697008,0.00078721077,0.005258706,0.9840545,0.00064940465,0.006798751],"study_design_scores_gemma":[0.000027912522,0.000118809534,0.0014469128,0.0000251873,0.000019069335,0.0007397807,0.00064823596,0.0056205746,0.006593647,0.9752041,0.009527242,0.000028400953],"about_ca_topic_score_codex":0.00094008766,"about_ca_topic_score_gemma":0.00092972897,"teacher_disagreement_score":0.005542829,"about_ca_system_score_codex":0.00065839017,"about_ca_system_score_gemma":0.0004095907,"threshold_uncertainty_score":0.018542588},"labels":[],"label_agreement":null},{"id":"W2962953026","doi":"10.1016/j.jalgebra.2013.08.028","title":"Counting irreducible representations of the Heisenberg group over the integers of a quadratic number field","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Cape Breton University","funders":"","keywords":"Mathematics; Twist; Heisenberg group; Pure mathematics; Nilpotent; Algebraic number field; Function field; Quadratic equation; Nilpotent group; Algebra over a field; Field (mathematics); Geometry","score_opus":0.018312491896310283,"score_gpt":0.312617438003558,"score_spread":0.2943049461072477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962953026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9503785,0.00018770549,0.033991072,0.00049624266,0.00008630175,0.00003690209,0.00011678665,0.00011994377,0.01458658],"genre_scores_gemma":[0.9891774,0.000120138735,0.006335539,0.000046937614,0.0001102414,0.00002417983,0.00016507879,0.000043834232,0.0039766068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853265,0.00036386846,0.00010700008,0.00018851017,0.00047755855,0.00033032984],"domain_scores_gemma":[0.99478406,0.002480362,0.00090846786,0.0006066427,0.00043220594,0.00078813935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020066327,0.00077122706,0.001035655,0.0031635256,0.0020270757,0.00433159,0.0019371932,0.0015623041,0.00566209],"category_scores_gemma":[0.008763769,0.00042964015,0.00068106985,0.0019452244,0.0039760335,0.0076983934,0.0022156222,0.0015346402,0.00031349866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003516589,0.000116381154,0.0044922433,0.00009945659,0.000025080893,0.0002971092,0.000892747,0.0042500827,0.0031505942,0.9748478,0.0012126177,0.010264193],"study_design_scores_gemma":[0.000040903422,0.00005844886,0.00091798924,0.000027848075,0.000022302758,0.00020627142,0.00027471935,0.02150051,0.0017948298,0.9740071,0.0011267489,0.000022270706],"about_ca_topic_score_codex":0.00081880076,"about_ca_topic_score_gemma":0.0008498677,"teacher_disagreement_score":0.00566209,"about_ca_system_score_codex":0.0011452399,"about_ca_system_score_gemma":0.00075368246,"threshold_uncertainty_score":0.018941581},"labels":[],"label_agreement":null},{"id":"W2962998968","doi":"10.1090/conm/711/14300","title":"Associated varieties and Higgs branches (a survey)","year":2018,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Japan Society for the Promotion of Science; University of Denver; Ministero dello Sviluppo Economico; Institut Périmètre de physique théorique; Industry Canada; Government of Canada","keywords":"Mathematics; Higgs boson; Pure mathematics; Particle physics; Physics","score_opus":0.055423498247663294,"score_gpt":0.31211613151044015,"score_spread":0.25669263326277686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962998968","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13011076,0.481483,0.039892316,0.0020243744,0.0011931031,0.000073056835,0.0010310003,0.00037954978,0.34381282],"genre_scores_gemma":[0.61905825,0.30046088,0.021613168,0.00079418585,0.0019946932,0.00010866797,0.0025303308,0.00020329207,0.053236566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967694,0.00005788312,0.000023457234,0.00008664197,0.00009694384,0.000058208283],"domain_scores_gemma":[0.9997687,0.00007260614,0.000033475022,0.000029029567,0.000061713064,0.000034464294],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033136012,0.00039792733,0.0004403021,0.00345882,0.00066030584,0.0029542318,0.0005579939,0.00056911947,0.0074075847],"category_scores_gemma":[0.0007830383,0.00029947897,0.0004139537,0.0039209942,0.0010270454,0.0035612127,0.0014442888,0.0011160728,0.0018886826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005299922,0.00009521799,0.0023010827,0.0012187903,0.000030246525,0.0003438028,0.0006882893,0.0010743322,0.0015648578,0.69701535,0.0130484095,0.2825667],"study_design_scores_gemma":[0.000020963877,0.00007351546,0.0053161336,0.00065427704,0.00002966712,0.0031704572,0.000542009,0.0016794389,0.0014164104,0.53629416,0.45076242,0.000040591003],"about_ca_topic_score_codex":0.00062792463,"about_ca_topic_score_gemma":0.00045655953,"teacher_disagreement_score":0.0074075847,"about_ca_system_score_codex":0.00064930547,"about_ca_system_score_gemma":0.00047864296,"threshold_uncertainty_score":0.02478081},"labels":[],"label_agreement":null},{"id":"W2963025361","doi":"10.1142/s1005386715000346","title":"Standard Monomial Theory of RR Varieties","year":2015,"lang":"en","type":"article","venue":"Algebra Colloquium","topic":"Advanced Algebra and Geometry","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":"Dawson College; Champlain Regional College; Cegep de Trois-Rivieres; Cegep de Thetford","funders":"","keywords":"Monomial; Mathematics; Homogeneous; Construct (python library); Pure mathematics; Monomial basis; Algebra over a field; Combinatorics; Computer science","score_opus":0.05103561184403476,"score_gpt":0.3037909591274975,"score_spread":0.2527553472834627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963025361","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6291901,0.001992353,0.11854384,0.00092803803,0.0003914231,0.000095539006,0.00056940643,0.00065290986,0.24763645],"genre_scores_gemma":[0.95396256,0.000926527,0.012182983,0.00012706059,0.00036894967,0.000030770017,0.00028797748,0.000084867235,0.032028165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952865,0.000095620664,0.000025239136,0.00009141205,0.00015121474,0.00010788058],"domain_scores_gemma":[0.99973565,0.000028367034,0.000056173478,0.000046125107,0.00006785676,0.00006588586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005237617,0.0005925603,0.00045128824,0.0018904886,0.0010123015,0.0018645151,0.0006853666,0.00036185782,0.0076932837],"category_scores_gemma":[0.0006020938,0.00027242096,0.00057178177,0.00093541737,0.0017395978,0.002898969,0.0012319261,0.000866752,0.0017788233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000140017555,0.000011678717,0.00026463278,0.000030584135,0.0000047955464,0.000092080285,0.0001758804,0.0005161319,0.0015129297,0.9935587,0.0006871882,0.0031313226],"study_design_scores_gemma":[0.000030494031,0.00017167779,0.0032930872,0.000058262216,0.000060279566,0.0009727499,0.0006393653,0.009313007,0.0075979563,0.94571817,0.03208177,0.000063203726],"about_ca_topic_score_codex":0.0009031679,"about_ca_topic_score_gemma":0.00066332263,"teacher_disagreement_score":0.0076932837,"about_ca_system_score_codex":0.0007134298,"about_ca_system_score_gemma":0.0003026743,"threshold_uncertainty_score":0.02573663},"labels":[],"label_agreement":null},{"id":"W2963032491","doi":"10.1090/tran/7469","title":"A local converse theorem for U₂ᵣ₊₁","year":2017,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"Ohio State University","keywords":"Mathematics; Converse; Pure mathematics; Calculus (dental); Mathematical economics; Discrete mathematics; Geometry","score_opus":0.025844210636684344,"score_gpt":0.3147668217989956,"score_spread":0.28892261116231127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963032491","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03018518,0.0024059096,0.25938728,0.014852897,0.0022560256,0.00017269336,0.0016092011,0.0017235846,0.68740726],"genre_scores_gemma":[0.61517596,0.0036981709,0.08042123,0.010984966,0.0031315214,0.0006838879,0.0039392286,0.001440839,0.28052413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970983,0.00052028615,0.00018736035,0.00083483855,0.0006625571,0.0006967033],"domain_scores_gemma":[0.99543756,0.0017245909,0.00022169806,0.00047593622,0.0018091329,0.00033103905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002374923,0.0010534489,0.00094762223,0.0014220293,0.0038873411,0.004070611,0.0015483453,0.0014954774,0.03396247],"category_scores_gemma":[0.005466334,0.0007753633,0.0028243246,0.00096250646,0.0037174376,0.012098237,0.0068370234,0.005674278,0.008107819],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079723126,0.000026676156,0.00020279766,0.0001961633,0.000028301673,0.00019831838,0.00042932428,0.00036990643,0.0009909482,0.9727093,0.014941824,0.009826708],"study_design_scores_gemma":[0.000043002667,0.00004726988,0.0003563889,0.00008578969,0.000053247357,0.00049479323,0.0004778218,0.0031956963,0.0030047698,0.9221402,0.070063815,0.000037271326],"about_ca_topic_score_codex":0.003653681,"about_ca_topic_score_gemma":0.0033373323,"teacher_disagreement_score":0.03396247,"about_ca_system_score_codex":0.0029146078,"about_ca_system_score_gemma":0.0018232273,"threshold_uncertainty_score":0.11361575},"labels":[],"label_agreement":null},{"id":"W2963157859","doi":"10.37236/2364","title":"A Plethysm Formula on the Characteristic Map of Induced Linear Characters from $U_n(\\mathbb F_q)$ to $GL(\\mathbb F_q)$","year":2013,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Algebra and Geometry","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":"York University","funders":"","keywords":"Mathematics; Combinatorics; Unipotent; Finite field; Symmetric function; Discrete mathematics","score_opus":0.02697840850375969,"score_gpt":0.28136168691008984,"score_spread":0.2543832784063301,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963157859","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40715525,0.0014374225,0.40849388,0.0031720507,0.0016497452,0.00016091544,0.0004585073,0.0007696918,0.1767026],"genre_scores_gemma":[0.9230304,0.0010592589,0.04010912,0.000681709,0.00091716024,0.00017801275,0.00026306193,0.00035354155,0.033407822],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995938,0.000059896134,0.000025099444,0.000096709366,0.00013089107,0.000093623334],"domain_scores_gemma":[0.9995621,0.00015990327,0.000063626125,0.000041838284,0.000080772705,0.000091715854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056209747,0.0007035097,0.00069490424,0.0016809154,0.0013849642,0.0016557903,0.0007852419,0.00087432814,0.009623567],"category_scores_gemma":[0.0015928783,0.00033514813,0.0007630359,0.0007449314,0.0018026592,0.005228184,0.0019661589,0.0027009412,0.0018388412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047653804,0.000026330687,0.00031713184,0.00007312266,0.000004864309,0.00028179807,0.00040756867,0.0005128747,0.0027155066,0.9719561,0.0018222375,0.021834848],"study_design_scores_gemma":[0.000020296304,0.000085012194,0.0005444852,0.000031779582,0.00001739872,0.0009498537,0.00020073673,0.005865699,0.004305859,0.97995824,0.0079835495,0.000037126967],"about_ca_topic_score_codex":0.00023061004,"about_ca_topic_score_gemma":0.00026255506,"teacher_disagreement_score":0.009623567,"about_ca_system_score_codex":0.0008723049,"about_ca_system_score_gemma":0.00041076806,"threshold_uncertainty_score":0.03219402},"labels":[],"label_agreement":null},{"id":"W2963213064","doi":"10.1017/s1474748019000021","title":"TWISTED TRIPLE PRODUCT -ADIC L-FUNCTIONS AND HIRZEBRUCH–ZAGIER CYCLES","year":2019,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Prime (order theory); Product (mathematics); Pure mathematics; Quadratic field; Unitary state; Quadratic equation; Field (mathematics); Triple product; Function field; Function (biology); Algebra over a field; Quadratic function; Combinatorics; Geometry","score_opus":0.025019732561673867,"score_gpt":0.28347226231059497,"score_spread":0.2584525297489211,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963213064","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9074776,0.0006398827,0.042548154,0.00050631486,0.00009992225,0.000028781615,0.000064943364,0.00019561642,0.048438717],"genre_scores_gemma":[0.9866984,0.00026354668,0.005962401,0.000100258825,0.000070805494,0.000021586078,0.000047479978,0.000047787333,0.0067877183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997943,0.000034144075,0.0000070999367,0.000042627173,0.00004886773,0.00007292355],"domain_scores_gemma":[0.9997981,0.00004035536,0.000039172966,0.00002230621,0.00002793192,0.00007208839],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037937387,0.00055937865,0.00051210145,0.001662674,0.0011229524,0.0013713548,0.000546378,0.0005212511,0.0031352737],"category_scores_gemma":[0.0010326515,0.00019321906,0.00043488477,0.00062410766,0.0020292269,0.0017295568,0.001242889,0.0013776526,0.00046804064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005883946,0.000024069861,0.00059374486,0.000027292863,0.000005514585,0.00021068288,0.00031887705,0.0009810717,0.0032754391,0.986094,0.0004268345,0.007983576],"study_design_scores_gemma":[0.000049637787,0.000106813575,0.002116294,0.0000509712,0.00002439154,0.0006496275,0.00039554376,0.016531946,0.006607896,0.9654757,0.007935702,0.000055524237],"about_ca_topic_score_codex":0.0010086356,"about_ca_topic_score_gemma":0.00072099915,"teacher_disagreement_score":0.0031352737,"about_ca_system_score_codex":0.0009942964,"about_ca_system_score_gemma":0.00038499536,"threshold_uncertainty_score":0.01048851},"labels":[],"label_agreement":null},{"id":"W2963214042","doi":"10.1016/j.jalgebra.2013.09.037","title":"A cohomological proof of Peterson–Kacʼs theorem on conjugacy of Cartan subalgebras for affine Kac–Moody Lie algebras","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Consejo Nacional de Investigaciones Científicas y Técnicas; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Conjugacy class; Cartan matrix; Pure mathematics; Affine transformation; Cartan decomposition; Kac–Moody algebra; Killing form; Lie algebra; Affine Lie algebra; Real form; Algebra over a field; Adjoint representation of a Lie algebra; Lie conformal algebra; Current algebra","score_opus":0.03130227931590155,"score_gpt":0.30407577016413034,"score_spread":0.2727734908482288,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963214042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3708239,0.0024478154,0.26057443,0.010588459,0.0024460664,0.00014628573,0.00069588743,0.0005555611,0.35172155],"genre_scores_gemma":[0.94779515,0.0009066561,0.022667887,0.0013350681,0.0012416925,0.0000827415,0.00030797542,0.00014219435,0.025520653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993061,0.00016240907,0.000040145045,0.00014417036,0.00022213468,0.00012503564],"domain_scores_gemma":[0.99845064,0.0005860509,0.00013492927,0.00021145886,0.00033114926,0.0002857504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001978387,0.00090200786,0.0010674263,0.0031217071,0.0031874597,0.002871183,0.0016581638,0.0014277147,0.011124158],"category_scores_gemma":[0.003912894,0.0006907587,0.0016689292,0.0017279021,0.0051697516,0.006451295,0.0060770526,0.00558807,0.0010713045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015707406,0.000027941885,0.00021653628,0.000030976254,0.000009420881,0.000121486344,0.00035423512,0.00020417928,0.00052585686,0.9944748,0.0012966035,0.0027222438],"study_design_scores_gemma":[0.000016152355,0.000018175204,0.00037483024,0.000008465211,0.0000087008875,0.00012046376,0.00007812471,0.0010759425,0.00032087264,0.9947902,0.0031753462,0.000012781977],"about_ca_topic_score_codex":0.00090958056,"about_ca_topic_score_gemma":0.0007322506,"teacher_disagreement_score":0.011124158,"about_ca_system_score_codex":0.0014930264,"about_ca_system_score_gemma":0.00082757865,"threshold_uncertainty_score":0.03721404},"labels":[],"label_agreement":null},{"id":"W2963219679","doi":"10.4153/cjm-2016-029-3","title":"On Mœglin's Parametrization of Arthur Packets for p-adic Quasisplit <i>S<sub>p</sub></i>(<i>N</i>) and <i>SO</i>(<i>N</i>)","year":2016,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Parametrization (atmospheric modeling); Mathematics; Network packet; Symplectic geometry; Pure mathematics; Combinatorics; Algebra over a field; Mathematical physics; Physics; Computer science; Quantum mechanics; Computer network","score_opus":0.022758360052241546,"score_gpt":0.2601028734733908,"score_spread":0.23734451342114923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963219679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4505649,0.006434291,0.21196775,0.0034100804,0.0008842962,0.00018088557,0.00042801286,0.000387576,0.32574221],"genre_scores_gemma":[0.91758823,0.004276039,0.044497717,0.0006852617,0.00044166626,0.00014673031,0.00026477882,0.00017552143,0.031924024],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970007,0.000105041174,0.000016658803,0.00004622757,0.00008337851,0.000048530703],"domain_scores_gemma":[0.9998332,0.000050692754,0.000029698002,0.000023948942,0.000030498535,0.000031966214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079144706,0.00069348153,0.0004420482,0.002143076,0.0017028174,0.0023153168,0.00062314206,0.00082410866,0.0036192117],"category_scores_gemma":[0.00088159315,0.00028603533,0.00045850754,0.0014673825,0.0032939217,0.0030082576,0.0016544415,0.0018111642,0.0005754854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000059247104,0.0000045368315,0.00008175255,0.00001262082,0.0000011070763,0.00003128996,0.00024764804,0.00014834634,0.00031183154,0.99552983,0.0003914008,0.0032337164],"study_design_scores_gemma":[0.0000119722645,0.00004807319,0.00062527467,0.00004862034,0.000008217,0.00028118194,0.00033707503,0.0027251064,0.0009670093,0.9572011,0.037721183,0.000025158242],"about_ca_topic_score_codex":0.0010352653,"about_ca_topic_score_gemma":0.0007122719,"teacher_disagreement_score":0.0036192117,"about_ca_system_score_codex":0.0010411483,"about_ca_system_score_gemma":0.00039859457,"threshold_uncertainty_score":0.0121074915},"labels":[],"label_agreement":null},{"id":"W2963291164","doi":"10.1080/10586458.2009.10129048","title":"Computing Genus-2 Hilbert–Siegel Modular Forms over via the Jacquet–Langlands Correspondence","year":2009,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Advanced Algebra and Geometry","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; Quadratic equation; Cusp (singularity); Siegel modular form; Pure mathematics; Algebra over a field; Field (mathematics); Modular form; Geometry","score_opus":0.020947543828810814,"score_gpt":0.3181582122553587,"score_spread":0.29721066842654786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963291164","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59370774,0.00019570792,0.39235985,0.00032045768,0.000099492005,0.000079332385,0.00026921032,0.002459836,0.01050833],"genre_scores_gemma":[0.83963114,0.00010068569,0.15451992,0.00006434691,0.00005947933,0.00004818083,0.0004935119,0.00032946197,0.0047532534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951375,0.00007858376,0.000038391805,0.00009621317,0.00016083104,0.00011221843],"domain_scores_gemma":[0.999331,0.00023007252,0.000057693593,0.00017416227,0.00011932112,0.0000877496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007460602,0.0007014788,0.00077141303,0.002033193,0.0008716202,0.0020057457,0.000881704,0.0005899421,0.006354062],"category_scores_gemma":[0.0026535264,0.0003690536,0.00074671075,0.0011229797,0.0009939692,0.003867447,0.0021529736,0.0008469276,0.001245438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007629064,0.00038406608,0.013310325,0.00039103295,0.0001437271,0.0012025587,0.0026868496,0.043009855,0.04939515,0.58003485,0.008813627,0.29986504],"study_design_scores_gemma":[0.000074278905,0.00017604996,0.0020953598,0.000030645573,0.000030567673,0.0003338115,0.00047419075,0.15051903,0.02563863,0.81312555,0.0074240672,0.00007775548],"about_ca_topic_score_codex":0.00038047894,"about_ca_topic_score_gemma":0.00085074326,"teacher_disagreement_score":0.006354062,"about_ca_system_score_codex":0.00054080714,"about_ca_system_score_gemma":0.0005055028,"threshold_uncertainty_score":0.021256447},"labels":[],"label_agreement":null},{"id":"W2963331844","doi":"10.1016/j.jalgebra.2014.03.026","title":"Invariants, exponents and formal group laws","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Formal group; Exponent; Algebraic group; Pure mathematics; Cohomology; Group cohomology; Group (periodic table); Flag (linear algebra); Algebra over a field; Algebraic number; Mathematical analysis; Quantum mechanics","score_opus":0.01969807832358142,"score_gpt":0.27256037117897547,"score_spread":0.2528622928553941,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963331844","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7093412,0.011225243,0.085690774,0.011315495,0.0013358067,0.00005187107,0.0003337043,0.00037049977,0.18033528],"genre_scores_gemma":[0.9798014,0.0017336992,0.004528566,0.00035594354,0.0011238293,0.000026105503,0.00011336761,0.00005478948,0.012262323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995615,0.000116862,0.000032000346,0.00009025686,0.000106298685,0.00009305002],"domain_scores_gemma":[0.9978529,0.0010744741,0.00038707448,0.00019351611,0.0002250468,0.0002670227],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015700168,0.00073691085,0.00073863193,0.0034351756,0.0021351613,0.0040034214,0.0007394352,0.0011729817,0.007016196],"category_scores_gemma":[0.0048614778,0.0005028615,0.000521742,0.0015306744,0.0074749426,0.008618363,0.00207946,0.0025943667,0.0005651922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002223894,0.000018594039,0.00032974227,0.00001375414,0.000003331681,0.000036427246,0.00023520172,0.00013209674,0.00019971498,0.9962347,0.0005472595,0.0022268156],"study_design_scores_gemma":[0.000017583585,0.000008496997,0.0002750457,0.0000065883382,0.000004067397,0.00004020254,0.000092574766,0.0003881754,0.00008755362,0.9977964,0.0012781649,0.0000052466485],"about_ca_topic_score_codex":0.00070564455,"about_ca_topic_score_gemma":0.000720427,"teacher_disagreement_score":0.007016196,"about_ca_system_score_codex":0.0011188447,"about_ca_system_score_gemma":0.0004909311,"threshold_uncertainty_score":0.023471475},"labels":[],"label_agreement":null},{"id":"W2963371818","doi":"10.4153/cmb-2017-073-8","title":"Branching Rules for <i>n</i>-fold Covering Groups of SL<sub>2</sub> over a Non-Archimedean Local Field","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"University of Ottawa","keywords":"Mathematics; Fold (higher-order function); Combinatorics; Branching (polymer chemistry); Special linear group; Field (mathematics); Decomposition; Classical group; Group (periodic table); Pure mathematics; Lie group","score_opus":0.01679850230572724,"score_gpt":0.2752441392629578,"score_spread":0.2584456369572306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963371818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9708737,0.00006527972,0.011297431,0.00011378722,0.000022512395,0.000021039488,0.00004007666,0.00006832994,0.01749779],"genre_scores_gemma":[0.9940058,0.000061026865,0.0026632647,0.000030374844,0.000015863612,0.000015374295,0.00006850914,0.00003565853,0.0031040362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976426,0.00003401714,0.000014373547,0.00004222007,0.00005961449,0.00008552952],"domain_scores_gemma":[0.9994894,0.00013558692,0.000099454206,0.000054488457,0.000037112037,0.00018398993],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038837496,0.00028735062,0.0002486126,0.0012239662,0.0010735389,0.0016283758,0.0003705531,0.0005914763,0.0035775257],"category_scores_gemma":[0.0009446492,0.00019208422,0.00057172694,0.00040917817,0.0018714152,0.0013527876,0.0009620012,0.00078189827,0.00032504855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014772045,0.000091532354,0.0049296273,0.00004050413,0.000014301514,0.0015137265,0.0020670448,0.0036843347,0.026667163,0.94897276,0.0007368964,0.011134416],"study_design_scores_gemma":[0.00004571202,0.000084531035,0.005051812,0.00003654985,0.000015161855,0.0007774049,0.00072232937,0.019418154,0.010884113,0.9595282,0.00340531,0.000030879783],"about_ca_topic_score_codex":0.0009996106,"about_ca_topic_score_gemma":0.0010608981,"teacher_disagreement_score":0.0035775257,"about_ca_system_score_codex":0.00082765706,"about_ca_system_score_gemma":0.00031993844,"threshold_uncertainty_score":0.011968017},"labels":[],"label_agreement":null},{"id":"W2963464031","doi":"10.5802/jtnb.878","title":"An explicit computation of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math> -stabilized vectors","year":2015,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","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":"Lift (data mining); Mathematics; Computation; Space (punctuation); Algebra over a field; Pure mathematics; Algorithm; Computer science","score_opus":0.03215746849299062,"score_gpt":0.30034217378971667,"score_spread":0.26818470529672606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963464031","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1451765,0.0002640396,0.8054629,0.0007055178,0.00027734373,0.00013434363,0.00054753415,0.0014259302,0.046005927],"genre_scores_gemma":[0.7424787,0.00043930428,0.22501558,0.00018138766,0.00020145238,0.00013711551,0.0009502883,0.00096778607,0.029628316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996252,0.00006143529,0.000024865032,0.0000835975,0.00012274426,0.00008211156],"domain_scores_gemma":[0.9997061,0.00008818453,0.00003066836,0.000057063036,0.00007022128,0.000047842466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005967999,0.0008973988,0.0005655702,0.0013303839,0.0010361528,0.0016492939,0.00087627355,0.0005704981,0.015873792],"category_scores_gemma":[0.0014001742,0.00031038848,0.00070616696,0.00080459943,0.0011406422,0.003749278,0.0024561607,0.0017557307,0.0028333205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004889578,0.000041938365,0.0006451988,0.0001308635,0.000015426027,0.00018935787,0.00053467136,0.0042542396,0.003425047,0.954174,0.0035124798,0.03302791],"study_design_scores_gemma":[0.00003186265,0.0000627753,0.00044655628,0.00005802722,0.000026985601,0.0002420528,0.00037663907,0.03182525,0.007863657,0.9394188,0.019596413,0.00005090263],"about_ca_topic_score_codex":0.00064465625,"about_ca_topic_score_gemma":0.0014440439,"teacher_disagreement_score":0.015873792,"about_ca_system_score_codex":0.0007689668,"about_ca_system_score_gemma":0.0005863282,"threshold_uncertainty_score":0.05310309},"labels":[],"label_agreement":null},{"id":"W2963555687","doi":"10.1016/j.aim.2019.03.021","title":"Convex polytopes for the central degeneration of the affine Grassmannian","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Perimeter Institute","funders":"","keywords":"Mathematics; Polytope; Affine transformation; Grassmannian; Pure mathematics; Algebraic geometry; Regular polygon; Combinatorics; Degeneration (medical); Affine variety; Geometry","score_opus":0.0169741286165895,"score_gpt":0.30260937477112154,"score_spread":0.28563524615453206,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963555687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52327204,0.0015901398,0.26368332,0.0016803498,0.00073119433,0.00026496378,0.0012592768,0.00029469706,0.20722401],"genre_scores_gemma":[0.9138266,0.0011737227,0.028828776,0.00033653382,0.00057010975,0.0001849783,0.0009679815,0.00021951848,0.05389178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993942,0.00011722147,0.00002555109,0.00012630198,0.00020810653,0.00012865619],"domain_scores_gemma":[0.99918896,0.00016600131,0.00015402443,0.00006138377,0.00014550747,0.00028412192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006851214,0.0010278157,0.00090253475,0.0031866569,0.00223084,0.0037463834,0.001217771,0.0007692365,0.01527703],"category_scores_gemma":[0.0014268617,0.00045487448,0.00095073855,0.0009647208,0.0038047347,0.0028829228,0.0022044007,0.0031954388,0.002286479],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023912562,0.000014209861,0.00008161971,0.000016020913,0.000006997257,0.000051580737,0.000077914454,0.0010282734,0.00067186035,0.99543,0.0007151708,0.0018822718],"study_design_scores_gemma":[0.00003542059,0.000055301512,0.00074602815,0.000024704033,0.0000136374,0.00014837469,0.00019708746,0.012815949,0.000904767,0.9780146,0.0070208367,0.000023349661],"about_ca_topic_score_codex":0.0020455956,"about_ca_topic_score_gemma":0.0017809422,"teacher_disagreement_score":0.01527703,"about_ca_system_score_codex":0.0020477967,"about_ca_system_score_gemma":0.0007894281,"threshold_uncertainty_score":0.05110675},"labels":[],"label_agreement":null},{"id":"W2963567649","doi":"10.4310/pamq.2006.v2.n3.a11","title":"Intersection Numbers in Quasi-Hamiltonian Reduced Spaces","year":2006,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","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; Moduli space; Diagonal; Pure mathematics; Hamiltonian (control theory); Intersection (aeronautics); Lie group; Combinatorics; Geometry","score_opus":0.01112246227637254,"score_gpt":0.25597561285270737,"score_spread":0.24485315057633483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963567649","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37655497,0.0028977995,0.44073844,0.0018935179,0.0014241271,0.00031268396,0.00066361437,0.00053724676,0.17497765],"genre_scores_gemma":[0.8706986,0.0017036565,0.098707676,0.00025550864,0.0009183559,0.0003666179,0.0004633225,0.00027719862,0.02660911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983387,0.00045522582,0.00015861046,0.00025236138,0.00046656592,0.0003284975],"domain_scores_gemma":[0.9979665,0.0007555374,0.00023836357,0.00016748659,0.00057238113,0.00029966657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017180631,0.001347678,0.0014837267,0.007453821,0.0029212602,0.004441351,0.0012966433,0.0021823873,0.00833417],"category_scores_gemma":[0.005156227,0.0007983978,0.0011520364,0.0027672313,0.0055717877,0.010286127,0.0041958597,0.0044462495,0.0020972067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002650337,0.000021630018,0.00017371103,0.000052881594,0.0000053866843,0.000096046584,0.00032637484,0.0005477122,0.00056926993,0.99162287,0.00069645385,0.0058610733],"study_design_scores_gemma":[0.000014438604,0.00007399883,0.00031723577,0.000033657474,0.000012363603,0.000210203,0.0002019614,0.0065504154,0.0018830458,0.9847585,0.005896062,0.000048143924],"about_ca_topic_score_codex":0.0005345339,"about_ca_topic_score_gemma":0.0005666909,"teacher_disagreement_score":0.00833417,"about_ca_system_score_codex":0.001459223,"about_ca_system_score_gemma":0.0006883879,"threshold_uncertainty_score":0.02788055},"labels":[],"label_agreement":null},{"id":"W2963590413","doi":"10.1016/j.ffa.2019.03.007","title":"Uniqueness of certain Fourier-Jacobi models over finite fields","year":2019,"lang":"en","type":"article","venue":"Finite Fields and Their Applications","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"Natural Science Foundation of Guangdong Province; National Natural Science Foundation of China; Purdue University; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Uniqueness; Mathematics; Finite field; Fourier transform; Pure mathematics; Fourier series; Fourier analysis; Mathematical analysis; Algebra over a field; Discrete mathematics","score_opus":0.02653378148374149,"score_gpt":0.28064708906698926,"score_spread":0.2541133075832478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963590413","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70743096,0.0017987072,0.20005426,0.005209895,0.0006768301,0.000089992376,0.00040590658,0.0003057945,0.084027626],"genre_scores_gemma":[0.9527375,0.0006939589,0.02394794,0.0005742367,0.0005331137,0.00007229011,0.00038076326,0.00017083308,0.020889325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999,0.0003142154,0.00006505385,0.00019796334,0.00020506885,0.00021772893],"domain_scores_gemma":[0.9974353,0.00093816995,0.00045863856,0.00025733595,0.00035520832,0.0005554928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029970834,0.0012040684,0.0019743089,0.0028504732,0.004081457,0.0048972075,0.0028124205,0.0038002352,0.006342334],"category_scores_gemma":[0.0073986426,0.0011058563,0.0022770036,0.0016543485,0.00619673,0.010738111,0.0036729209,0.0040002344,0.0006522596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013576629,0.000016877095,0.00011175166,0.000013221261,0.000006152299,0.000043193493,0.00010458834,0.00042334574,0.00020864065,0.9984927,0.00019818479,0.00036774864],"study_design_scores_gemma":[0.00001490909,0.000011325095,0.000110289504,0.000011265462,0.0000054906923,0.00009805339,0.00013738258,0.004513505,0.0002499851,0.99446434,0.00036884696,0.00001463851],"about_ca_topic_score_codex":0.0013025935,"about_ca_topic_score_gemma":0.0014357358,"teacher_disagreement_score":0.006342334,"about_ca_system_score_codex":0.0024099732,"about_ca_system_score_gemma":0.0017782664,"threshold_uncertainty_score":0.021217167},"labels":[],"label_agreement":null},{"id":"W2963638331","doi":"10.1016/j.aim.2017.03.026","title":"Geometric representations of the formal affine Hecke algebra","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Formal group; Mathematics; Pure mathematics; Algebra over a field; Cohomology; Affine transformation; Hecke algebra","score_opus":0.032173572009898704,"score_gpt":0.35921671694070945,"score_spread":0.32704314493081077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963638331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54009426,0.0021277047,0.17192177,0.0038992339,0.00089995307,0.00010222167,0.00065204105,0.00085370505,0.27944916],"genre_scores_gemma":[0.9425757,0.0007243133,0.011784212,0.00037697214,0.0007400653,0.000037121798,0.0003884518,0.0001294091,0.043243732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939334,0.00011546831,0.000026466185,0.000098909215,0.00022425035,0.00014159286],"domain_scores_gemma":[0.999521,0.00007412028,0.00010704993,0.0000848933,0.00010137594,0.00011163388],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063232455,0.00081482384,0.0007688254,0.0023583097,0.0015668052,0.0034658848,0.0011889281,0.001053621,0.0140095735],"category_scores_gemma":[0.0014658804,0.00036054192,0.0006829704,0.0016053368,0.0029880635,0.004649173,0.0019527773,0.0021297613,0.0020682141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010879521,0.000013537201,0.00006691556,0.000009236061,0.0000025961128,0.000026438207,0.00009422273,0.00041268088,0.00037249838,0.99580765,0.00042564818,0.0027577453],"study_design_scores_gemma":[0.000012463612,0.000015818265,0.00017906202,0.0000052203054,0.0000036354743,0.00008308104,0.00008600326,0.0019364315,0.00025544508,0.994682,0.0027293533,0.00001148066],"about_ca_topic_score_codex":0.0009522843,"about_ca_topic_score_gemma":0.0006948009,"teacher_disagreement_score":0.0140095735,"about_ca_system_score_codex":0.0011299875,"about_ca_system_score_gemma":0.00065642066,"threshold_uncertainty_score":0.046866655},"labels":[],"label_agreement":null},{"id":"W2963673189","doi":"10.4153/cmb-2001-049-6","title":"Resolution of Singularities of Null Cones","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Yale University","keywords":"Mathematics; Gravitational singularity; Resolution of singularities; Pure mathematics; Conjugacy class; Invariant (physics); Null (SQL); Connection (principal bundle); Cone (formal languages); Resolution (logic); Mathematical analysis; Geometry; Mathematical physics","score_opus":0.03146457499763257,"score_gpt":0.27555878165413755,"score_spread":0.244094206656505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963673189","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73052067,0.0018703545,0.11979454,0.001475419,0.0008072576,0.00013351513,0.0002697584,0.0005409991,0.14458747],"genre_scores_gemma":[0.9754029,0.0005778858,0.013712561,0.00015115287,0.00012700095,0.000021635578,0.0001314951,0.00010126346,0.009774104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992786,0.00010665167,0.00004231711,0.00008153975,0.00030194505,0.00018893673],"domain_scores_gemma":[0.99937916,0.00007828805,0.00007233711,0.00007896448,0.00015811453,0.00023318638],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008500743,0.0006307849,0.0004953338,0.0019899397,0.0017155347,0.0036923266,0.0008449958,0.00071827037,0.005052804],"category_scores_gemma":[0.0016334358,0.00037674507,0.00077480637,0.00064995553,0.002289101,0.002778773,0.00282368,0.002105618,0.00058657274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003432487,0.000044116645,0.00072435173,0.000046315225,0.0000156145,0.0008369581,0.0004802333,0.000920812,0.0045985505,0.9853153,0.0018426544,0.005140657],"study_design_scores_gemma":[0.00007888697,0.00009957945,0.0019606657,0.000069339025,0.000044533797,0.0024088211,0.0012689983,0.013400251,0.013867613,0.941064,0.025667025,0.00007024628],"about_ca_topic_score_codex":0.0007006177,"about_ca_topic_score_gemma":0.0006956006,"teacher_disagreement_score":0.005052804,"about_ca_system_score_codex":0.0009311115,"about_ca_system_score_gemma":0.0004525958,"threshold_uncertainty_score":0.01690334},"labels":[],"label_agreement":null},{"id":"W2963803453","doi":"10.1090/tran/7619","title":"The first pro-𝑝-Iwahori cohomology of mod-𝑝 principal series for 𝑝-adic 𝐺𝐿_{𝑛}","year":2018,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Science Foundation","keywords":"Mathematics; Prime (order theory); Mod; Cohomology; Combinatorics; Series (stratigraphy); Reductive group; Field (mathematics); Hecke algebra; Group (periodic table); Algebra over a field; Pure mathematics; Group theory; Physics","score_opus":0.025821823574104355,"score_gpt":0.31468450191705516,"score_spread":0.2888626783429508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963803453","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19340865,0.0018686195,0.09474791,0.0040186727,0.0027081429,0.00009316323,0.00079315045,0.0012092112,0.70115256],"genre_scores_gemma":[0.69983846,0.001563352,0.018901065,0.00068507774,0.001742499,0.000086292406,0.00067615876,0.00073023577,0.27577695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943227,0.000060509916,0.000020066875,0.000121876976,0.00019117555,0.00017411048],"domain_scores_gemma":[0.99955505,0.00006691381,0.000051581887,0.00004900134,0.00014043304,0.00013697323],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005249638,0.00087317004,0.000619016,0.0024577712,0.002348261,0.003454835,0.00091584324,0.00060766254,0.025697306],"category_scores_gemma":[0.0011417979,0.00045043882,0.0008403919,0.0012526524,0.0021244304,0.005217056,0.0020554026,0.0025494546,0.006858521],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003642633,0.00001888665,0.00025900424,0.000059036913,0.000007770642,0.00010470448,0.00045889025,0.00020821879,0.0012374934,0.9749439,0.006241526,0.016424092],"study_design_scores_gemma":[0.000018719304,0.000060444298,0.0013264498,0.00003980501,0.000019466836,0.00041955896,0.0004036277,0.0017851442,0.003216048,0.9243856,0.06828648,0.00003870346],"about_ca_topic_score_codex":0.0011637427,"about_ca_topic_score_gemma":0.0011180307,"teacher_disagreement_score":0.025697306,"about_ca_system_score_codex":0.0020166056,"about_ca_system_score_gemma":0.00069304084,"threshold_uncertainty_score":0.08596611},"labels":[],"label_agreement":null},{"id":"W2963831516","doi":"10.1016/j.jalgebra.2014.08.010","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">FI</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=\"script\">W</mml:mi></mml:mrow></mml:msub></mml:math>-modules and stability criteria for representations of classical Weyl groups","year":2014,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":62,"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; Cohomology; Sequence (biology); Permutation (music); Algebraic number; Kronecker delta; Pure mathematics; Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.023232826966008206,"score_gpt":0.26992586158357207,"score_spread":0.24669303461756387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963831516","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011072286,0.0005108857,0.16814816,0.0052622175,0.00087854767,0.0002571613,0.036639888,0.031135488,0.7460954],"genre_scores_gemma":[0.14079566,0.001462902,0.13252991,0.0014348174,0.0008522362,0.00047256207,0.06994189,0.04492392,0.60758615],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995857,0.00008921056,0.000039904888,0.00007239306,0.00017188276,0.00004097536],"domain_scores_gemma":[0.9988223,0.00027803914,0.00010772551,0.00023518289,0.00040207064,0.00015460562],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071834016,0.000567637,0.00051816937,0.002060638,0.0008987272,0.0040077227,0.0012857028,0.000841058,0.29674548],"category_scores_gemma":[0.0026365032,0.00046659334,0.00046867615,0.0024231223,0.00072236743,0.005111823,0.0012367106,0.0016232127,0.15470272],"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":[0.0001372106,0.00004678076,0.0004330548,0.00030264436,0.000012090243,0.0000958142,0.00049953366,0.00056002877,0.004522818,0.38959345,0.5318141,0.071982436],"study_design_scores_gemma":[0.00004313801,0.000036092173,0.0015003446,0.00007366245,0.000012137457,0.00023452443,0.00026274033,0.0054705297,0.012689358,0.18423527,0.7953736,0.000068656496],"about_ca_topic_score_codex":0.0038796912,"about_ca_topic_score_gemma":0.0036720256,"teacher_disagreement_score":0.29674548,"about_ca_system_score_codex":0.0012655038,"about_ca_system_score_gemma":0.0007605655,"threshold_uncertainty_score":0.9927125},"labels":[],"label_agreement":null},{"id":"W2963835872","doi":"10.1090/s1088-4165-2015-00462-5","title":"Hecke modules and supersingular representations of U(2,1)","year":2015,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Engineering and Physical Sciences Research Council; University of East Anglia; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science; Mathematics","score_opus":0.052985156166623554,"score_gpt":0.3514653418727213,"score_spread":0.2984801857060978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963835872","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80114955,0.00095605577,0.047368374,0.0014033276,0.00029159497,0.000082055805,0.00046428145,0.00066020055,0.14762461],"genre_scores_gemma":[0.9380089,0.000382468,0.0070219953,0.00022821836,0.00020873403,0.000037926893,0.00041502496,0.00011364766,0.053583108],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945074,0.00008350291,0.000019557274,0.000113739,0.00013458596,0.00019783876],"domain_scores_gemma":[0.9995301,0.00008435238,0.0001071419,0.00007213432,0.00008166051,0.00012470828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005692271,0.00071161,0.00042984376,0.0017271126,0.0011589614,0.0022326442,0.00059897726,0.00062626635,0.011966052],"category_scores_gemma":[0.0008929332,0.00030166487,0.0006515199,0.00095056195,0.0019475959,0.0033802825,0.0014496193,0.0014667378,0.0024148617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045381676,0.000030153316,0.00053218845,0.00003025895,0.0000073847314,0.00012724682,0.00052469067,0.0005221805,0.0015370972,0.98636043,0.001590385,0.008692653],"study_design_scores_gemma":[0.000046953162,0.000091655915,0.002114743,0.000026293614,0.000016102143,0.00032155588,0.00046238888,0.0054052095,0.0038276343,0.97031546,0.01732436,0.000047732974],"about_ca_topic_score_codex":0.0014458625,"about_ca_topic_score_gemma":0.0011504863,"teacher_disagreement_score":0.011966052,"about_ca_system_score_codex":0.0012313994,"about_ca_system_score_gemma":0.00055648707,"threshold_uncertainty_score":0.04003042},"labels":[],"label_agreement":null},{"id":"W2963858914","doi":"10.5802/aif.2474","title":"The higher transvectants are redundant","year":2009,"lang":"fr","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; University of Michigan","keywords":"Mathematics; Quadratic equation; Invariant (physics); Symbol (formal); Angular momentum; Binary number; Pure mathematics; Sequence (biology); Exact sequence; Sense (electronics); Cauchy distribution; Discrete mathematics; Algebra over a field; Combinatorics; Mathematical analysis; Arithmetic; Quantum mechanics; Mathematical physics; Physics; Geometry; Computer science","score_opus":0.03136028432165687,"score_gpt":0.2999854571832818,"score_spread":0.2686251728616249,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963858914","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16086383,0.0024167465,0.38012064,0.0049944874,0.00859211,0.00027239905,0.00720894,0.009898535,0.4256323],"genre_scores_gemma":[0.65827787,0.0019316747,0.09430152,0.0030910552,0.0015870334,0.00034167367,0.012363853,0.005352965,0.22275236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99757785,0.00029867922,0.00018582435,0.00070082775,0.0005434575,0.0006933343],"domain_scores_gemma":[0.99721473,0.0005035402,0.0001802443,0.0012181374,0.0006854523,0.00019799605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008252374,0.0022656077,0.0011940252,0.0014123094,0.0020639955,0.004740448,0.0016234028,0.0014786011,0.057942107],"category_scores_gemma":[0.0054282276,0.00068860117,0.0016694719,0.0015366055,0.0031513837,0.005945568,0.002794734,0.0035186852,0.03263263],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007795002,0.00026944585,0.0026697512,0.0005780555,0.00015664818,0.0018657893,0.00093653786,0.006257457,0.017256105,0.63674104,0.09439744,0.23809224],"study_design_scores_gemma":[0.00008284356,0.0003039175,0.0024474806,0.000196105,0.00013971954,0.0016930212,0.00082377,0.017640855,0.03294996,0.749683,0.19387011,0.00016911322],"about_ca_topic_score_codex":0.0026594438,"about_ca_topic_score_gemma":0.003487757,"teacher_disagreement_score":0.057942107,"about_ca_system_score_codex":0.001002003,"about_ca_system_score_gemma":0.0012830836,"threshold_uncertainty_score":0.19383568},"labels":[],"label_agreement":null},{"id":"W2963882865","doi":"10.4171/cmh/360","title":"Integral Eisenstein cocycles on $\\mathbf {GL}_n$, II: Shintani’s method","year":2015,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Advanced Algebra and Geometry","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":"University of Calgary","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.18594511654272064,"score_gpt":0.4220612917503241,"score_spread":0.23611617520760345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963882865","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49950036,0.0013283605,0.33803168,0.0011177451,0.0005570859,0.00012074513,0.000110295696,0.00027634882,0.15895742],"genre_scores_gemma":[0.9130382,0.0006192438,0.05120715,0.0002731274,0.00017961416,0.00011762433,0.000071484144,0.00019489831,0.034298718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997489,0.000044412347,0.000009940582,0.000057472145,0.00007440655,0.00006491384],"domain_scores_gemma":[0.9998204,0.000026895583,0.00002324338,0.000031370975,0.000044550085,0.000053561755],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049936934,0.00039249557,0.00045722807,0.0014205032,0.0008234963,0.0011111298,0.00054099277,0.000373804,0.004175731],"category_scores_gemma":[0.0007048166,0.00020495158,0.0005040474,0.00060175936,0.002457418,0.0013596268,0.0013925908,0.0010684177,0.0004139253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010852437,0.000011155416,0.00020072446,0.000015385536,0.0000027571095,0.00005096027,0.00023940232,0.0007566634,0.0016072367,0.9898968,0.00044326953,0.0067646415],"study_design_scores_gemma":[0.000026307378,0.000056645877,0.001017462,0.000037407517,0.000011377149,0.00021422768,0.0002933646,0.028210124,0.004090662,0.94666266,0.019354792,0.000025071933],"about_ca_topic_score_codex":0.001617469,"about_ca_topic_score_gemma":0.0016344899,"teacher_disagreement_score":0.004175731,"about_ca_system_score_codex":0.0013787249,"about_ca_system_score_gemma":0.00041513765,"threshold_uncertainty_score":0.013969183},"labels":[],"label_agreement":null},{"id":"W2963910631","doi":"","title":"4 COMPLEXIFYING LIE GROUP ACTIONS ON HOMOGENEOUS MANIFOLDS OF NON–COMPACT DIMENSION TWO","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Complexification; Lie group; Pure mathematics; Fibration; Complex manifold; Holomorphic function; Dimension (graph theory); Base (topology); Manifold (fluid mechanics); Homogeneous; Group (periodic table); Simple Lie group; Complex dimension; Action (physics); Mathematical analysis; Combinatorics; Homotopy","score_opus":0.07820448959381932,"score_gpt":0.35767905358140956,"score_spread":0.27947456398759024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963910631","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9567067,0.0001904902,0.01132901,0.00046230975,0.000068511625,0.000034063298,0.00004681105,0.00011441261,0.03104766],"genre_scores_gemma":[0.99344134,0.00008607583,0.0017331267,0.000059166385,0.000035459616,0.000013707324,0.000038355614,0.000012176301,0.004580615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968636,0.00006283728,0.000017726503,0.000053104475,0.00007020716,0.000109716166],"domain_scores_gemma":[0.99960274,0.000049609036,0.0000893518,0.00005759174,0.000041706924,0.00015894751],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043959543,0.00065965735,0.00036915933,0.0013344436,0.0010357547,0.0015404394,0.00040011187,0.0006626305,0.0033779768],"category_scores_gemma":[0.0004639321,0.00019966858,0.00054148515,0.0004588895,0.0023007484,0.0014712973,0.0016833096,0.0007032097,0.00029122844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055065764,0.00005004623,0.000789856,0.00002289418,0.00001466789,0.0008084659,0.0014437113,0.0020911205,0.009377451,0.98159,0.0004847079,0.0032720394],"study_design_scores_gemma":[0.0001015729,0.00022266977,0.0035322227,0.000025440855,0.000028314253,0.0005451631,0.0012177187,0.016138215,0.00635905,0.96273017,0.009064502,0.000034985547],"about_ca_topic_score_codex":0.0015148543,"about_ca_topic_score_gemma":0.00092045387,"teacher_disagreement_score":0.0033779768,"about_ca_system_score_codex":0.0008655764,"about_ca_system_score_gemma":0.0002762569,"threshold_uncertainty_score":0.011300445},"labels":[],"label_agreement":null},{"id":"W2963978670","doi":"10.1016/j.aim.2018.01.025","title":"Twisted Hilbert modular surfaces, arithmetic intersections and the Jacquet-Langlands correspondence","year":2018,"lang":"en","type":"article","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Advanced Algebra and Geometry","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","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Mathematics; Arithmetic; Modular form; Pure mathematics; Algebra over a field; Shimura variety","score_opus":0.014182585721447675,"score_gpt":0.24874447743114406,"score_spread":0.23456189170969638,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963978670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7537612,0.002502387,0.045003388,0.005805894,0.0006280132,0.000041096337,0.00026069986,0.0003071807,0.19169018],"genre_scores_gemma":[0.9731505,0.00060703856,0.004095571,0.0002968061,0.00059020694,0.00002459008,0.00014446894,0.0000653083,0.021025559],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992355,0.00020015232,0.000030927455,0.00010713505,0.00025588716,0.00017043257],"domain_scores_gemma":[0.9992674,0.00022122951,0.00013812736,0.00008061239,0.00010020471,0.00019239441],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001039876,0.0008526711,0.00089645194,0.003868483,0.003005423,0.0042111445,0.0010338962,0.0018170349,0.007866273],"category_scores_gemma":[0.0022677775,0.00050405023,0.00078318425,0.0020523025,0.0039274525,0.006055332,0.0036003992,0.0029501785,0.0010352944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022816208,0.000012242302,0.00013023122,0.000011511958,0.000003523776,0.000071733855,0.00013441787,0.00023818041,0.0003627546,0.99711597,0.00040443623,0.0014922549],"study_design_scores_gemma":[0.000017015209,0.00001566192,0.00031795067,0.000007463235,0.0000055001583,0.00014998672,0.00011406788,0.001760222,0.00021762587,0.99610656,0.0012783504,0.000009602322],"about_ca_topic_score_codex":0.0008521695,"about_ca_topic_score_gemma":0.00059411774,"teacher_disagreement_score":0.007866273,"about_ca_system_score_codex":0.0016796379,"about_ca_system_score_gemma":0.00063687825,"threshold_uncertainty_score":0.026315272},"labels":[],"label_agreement":null},{"id":"W2963990704","doi":"10.1016/j.jfa.2016.10.026","title":"Bessel operators on Jordan pairs and small representations of semisimple Lie Groups","year":2017,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Bessel function; Pure mathematics; Lie group; Degenerate energy levels; Lie algebra; Equivariant map; Series (stratigraphy); Quotient; Algebra over a field; Mathematical analysis","score_opus":0.05603145434824014,"score_gpt":0.34614701646979823,"score_spread":0.2901155621215581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963990704","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.806191,0.00045002846,0.14528431,0.0006348019,0.00014920933,0.000075099255,0.000115809285,0.00027701797,0.046822578],"genre_scores_gemma":[0.97838426,0.00019715747,0.012751405,0.00010141424,0.000102823426,0.00005558775,0.000073419156,0.000058948957,0.008274907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973065,0.00006881999,0.000015216377,0.000036658057,0.00008903369,0.000059589922],"domain_scores_gemma":[0.9996649,0.0000439456,0.00008435491,0.00004545567,0.000044600496,0.00011678997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046810493,0.0007820052,0.0004472451,0.0012381515,0.0009917964,0.0015428925,0.0006553028,0.00064754294,0.0032161954],"category_scores_gemma":[0.000956257,0.00028335553,0.000687548,0.00040642972,0.002063519,0.0023415522,0.0016396254,0.0010131539,0.000665513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016107295,0.000018493824,0.00021210728,0.000018164197,0.0000036609583,0.00012325861,0.00026690745,0.0011190199,0.003059311,0.9926548,0.00023953464,0.0022685616],"study_design_scores_gemma":[0.000014283653,0.00006571483,0.00038010234,0.000016628324,0.000004603383,0.00029273864,0.0002817598,0.018032255,0.002722965,0.97544813,0.0027216072,0.00001929153],"about_ca_topic_score_codex":0.00029564014,"about_ca_topic_score_gemma":0.0002652427,"teacher_disagreement_score":0.0032161954,"about_ca_system_score_codex":0.00066592125,"about_ca_system_score_gemma":0.00041149076,"threshold_uncertainty_score":0.010759294},"labels":[],"label_agreement":null},{"id":"W2964079202","doi":"10.1142/s021949881350093x","title":"UNITARY GROUPS OVER LOCAL RINGS","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Unitary state; Pure mathematics; Local ring; Involution (esoterism); Commutative ring; Hermitian matrix; Ring (chemistry); Unitary group; Group ring; Sesquilinear form; Unitary matrix; Algebra over a field; Commutative property; Group (periodic table)","score_opus":0.015057526434372463,"score_gpt":0.27825402744840394,"score_spread":0.26319650101403147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964079202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9270804,0.0007825228,0.04120671,0.00030319704,0.000065824905,0.000035471352,0.00006360916,0.00011399247,0.030348351],"genre_scores_gemma":[0.9915931,0.00021173882,0.0036064321,0.000023789242,0.000078133104,0.000010807513,0.000031965308,0.000013346669,0.004430637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951935,0.00010714545,0.000018970533,0.00007938551,0.000103982726,0.00017117255],"domain_scores_gemma":[0.9993316,0.00018068083,0.0001405415,0.00007373064,0.00006764265,0.00020573898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007791778,0.0004933686,0.000420464,0.0011698145,0.0009439492,0.0017205528,0.0005092914,0.00038507703,0.0045110816],"category_scores_gemma":[0.0015522321,0.00018379105,0.00032768206,0.00072155043,0.002701261,0.0032633257,0.001688974,0.00080954214,0.0005318421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049679296,0.00004422489,0.0010750585,0.000041596817,0.0000072803996,0.00021274945,0.0010193962,0.0025866753,0.003204872,0.98561007,0.00027387743,0.00587454],"study_design_scores_gemma":[0.000055194778,0.000179233,0.0012562927,0.00003278232,0.000021763784,0.00040752356,0.00096399157,0.015722638,0.0066447933,0.96758527,0.0071000545,0.000030430218],"about_ca_topic_score_codex":0.0003866131,"about_ca_topic_score_gemma":0.000280654,"teacher_disagreement_score":0.0045110816,"about_ca_system_score_codex":0.0005757797,"about_ca_system_score_gemma":0.00027672402,"threshold_uncertainty_score":0.015091121},"labels":[],"label_agreement":null},{"id":"W2964103664","doi":"10.4153/cmb-2005-051-6","title":"A Note on Lagrangian Loci of Quotients","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Quotient; Lagrangian; Pure mathematics; Invariant (physics); Disjoint sets; Fixed point; Combinatorics; Mathematical analysis; Mathematical physics","score_opus":0.01809627416996829,"score_gpt":0.276418162609269,"score_spread":0.2583218884393007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964103664","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93112445,0.0005817091,0.027060129,0.0008100714,0.00007561544,0.000037418973,0.000064210486,0.00013349968,0.04011295],"genre_scores_gemma":[0.9928491,0.00013337049,0.0036269557,0.000030479623,0.00004841141,0.000012921059,0.000045119144,0.0000376529,0.003216018],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945766,0.00014972888,0.00002688362,0.00007561487,0.00019923424,0.00009085604],"domain_scores_gemma":[0.99945265,0.0001567595,0.000111853755,0.00008226981,0.000053686552,0.00014268734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006947519,0.0003695063,0.0005856089,0.0015068457,0.0013617591,0.0022739386,0.000679622,0.00071442244,0.0051543633],"category_scores_gemma":[0.002301959,0.00025589223,0.0005984994,0.0004518069,0.003290725,0.0026136679,0.0026195056,0.0011205663,0.00036188646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041368185,0.000037930895,0.00090225675,0.000037134152,0.000014338846,0.0006743377,0.00093960343,0.0023727936,0.0041802726,0.9869464,0.0002763744,0.0035771544],"study_design_scores_gemma":[0.000059125825,0.000119209166,0.0010809302,0.000036923924,0.000018361798,0.0006605462,0.00066103705,0.020064492,0.0035470861,0.96878874,0.0049382774,0.00002519689],"about_ca_topic_score_codex":0.0007626125,"about_ca_topic_score_gemma":0.00054296694,"teacher_disagreement_score":0.0051543633,"about_ca_system_score_codex":0.00085684145,"about_ca_system_score_gemma":0.00029758742,"threshold_uncertainty_score":0.017243087},"labels":[],"label_agreement":null},{"id":"W2964110631","doi":"10.4153/cmb-2015-014-1","title":"A Specialisation of the Bump–Friedberg <i>L</i>-function","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Agence Nationale de la Recherche","keywords":"Mathematics; Function field; Pure mathematics; Function (biology); Product (mathematics); Affine transformation; Combinatorics; Field (mathematics); Geometry","score_opus":0.0536159117161248,"score_gpt":0.26548374499473,"score_spread":0.2118678332786052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964110631","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8970813,0.0003247171,0.038622573,0.00052966544,0.00009398282,0.00001875935,0.00003469193,0.00019843786,0.063095905],"genre_scores_gemma":[0.9914328,0.000098138305,0.002898756,0.00005150489,0.00005713857,0.000009608189,0.000021580772,0.000039253508,0.0053912736],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998629,0.00001940962,0.0000049797804,0.000027107886,0.000033006392,0.000052557323],"domain_scores_gemma":[0.99972767,0.000045555862,0.000049208564,0.000025473228,0.000051654053,0.00010048873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003695153,0.00040222227,0.00038374934,0.0011486006,0.0012118326,0.0014319475,0.000611086,0.00061325444,0.0031962013],"category_scores_gemma":[0.00092864764,0.00015867267,0.0004069469,0.0005038437,0.001874264,0.0018000912,0.00068574655,0.001005357,0.0003811956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008076256,0.000044868644,0.001146801,0.00003922039,0.000012062615,0.0005297798,0.00047234775,0.0014483954,0.009402245,0.97705203,0.00095587125,0.0088157095],"study_design_scores_gemma":[0.000061456245,0.00018347305,0.00498235,0.000053003056,0.000032116288,0.0024671534,0.00054585777,0.04513798,0.012067335,0.9223759,0.01203916,0.000054108994],"about_ca_topic_score_codex":0.0011196426,"about_ca_topic_score_gemma":0.00047424226,"teacher_disagreement_score":0.0031962013,"about_ca_system_score_codex":0.0011109683,"about_ca_system_score_gemma":0.00038665344,"threshold_uncertainty_score":0.010692358},"labels":[],"label_agreement":null},{"id":"W2964127171","doi":"10.4064/bc113-0-14","title":"The Gelfand–Naimark–Segal construction for unitary representations of $\\mathbb Z_2^n$-graded Lie supergroups","year":2017,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Advanced Algebra and Geometry","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":"Unitary state; Mathematics; Class (philosophy); Pure mathematics; Algebra over a field; Combinatorics; Computer science; Artificial intelligence","score_opus":0.054552570929010176,"score_gpt":0.3585317084691014,"score_spread":0.3039791375400912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964127171","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64473665,0.00054179144,0.21140547,0.0014920429,0.00045480378,0.00009685991,0.00013197682,0.00026330486,0.14087713],"genre_scores_gemma":[0.9674581,0.0002714478,0.01708028,0.00023106807,0.00017596695,0.00006407973,0.00006617831,0.00004909201,0.014603805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976,0.000049700517,0.000009353381,0.000033590106,0.00008232619,0.00006509532],"domain_scores_gemma":[0.9997279,0.000047308717,0.000054141106,0.000035095884,0.00004379098,0.000091882976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004843629,0.0004762382,0.0003444374,0.0013087789,0.0014055042,0.0011702552,0.0006416925,0.00067937525,0.004412331],"category_scores_gemma":[0.0007752288,0.00019354839,0.0005459678,0.00050369214,0.00218927,0.001964138,0.0015290268,0.00084091065,0.0004961173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006940356,0.000005398051,0.000056425102,0.0000098352,0.000001461423,0.00005803662,0.00013716564,0.00024992312,0.0013407463,0.9961301,0.0002244777,0.0017794487],"study_design_scores_gemma":[0.000010004646,0.00002191878,0.00023706444,0.000011981134,0.000003742409,0.00017136072,0.00014481663,0.004400196,0.0013830722,0.9898985,0.0037028198,0.000014408918],"about_ca_topic_score_codex":0.0007243341,"about_ca_topic_score_gemma":0.00082148646,"teacher_disagreement_score":0.004412331,"about_ca_system_score_codex":0.000657895,"about_ca_system_score_gemma":0.00051399716,"threshold_uncertainty_score":0.014760673},"labels":[],"label_agreement":null},{"id":"W2964295246","doi":"10.1016/j.crma.2013.10.029","title":"The Lie algebra of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <mml:msub> <mml:mrow> <mml:mi>G</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> </mml:math> is rational over its quotient by the adjoint action","year":2013,"lang":"lv","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Algebra and Geometry","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":"Lie algebra; Type (biology); Mathematics; Field (mathematics); Lie group; Algebraically closed field; Function (biology); Simple (philosophy); Algebra over a field; Combinatorics; Pure mathematics; Philosophy","score_opus":0.022944432257786022,"score_gpt":0.257248885021871,"score_spread":0.23430445276408496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964295246","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3920492,0.0015167055,0.13927922,0.0060178097,0.0015049553,0.00022605775,0.0030422425,0.003452988,0.4529109],"genre_scores_gemma":[0.82318044,0.0007103828,0.016755044,0.0008049181,0.00037143417,0.00009399257,0.001685694,0.0005663117,0.15583183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994417,0.000086586806,0.000020254312,0.00013217815,0.00014483949,0.00017439698],"domain_scores_gemma":[0.99963593,0.00005007432,0.00004820963,0.000045459725,0.000107313186,0.00011285693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004071157,0.0006862784,0.00053188164,0.00093373854,0.0012987654,0.0021152555,0.0006498131,0.00074563734,0.023903655],"category_scores_gemma":[0.0007195025,0.00021226874,0.00062499667,0.000643489,0.0022185768,0.0027255437,0.0013125669,0.001145522,0.010200712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023387809,0.00007038391,0.00061049015,0.00010710732,0.00002326236,0.00071021804,0.001127223,0.00096978655,0.008939151,0.94918454,0.015582507,0.02244144],"study_design_scores_gemma":[0.00006242723,0.00018912471,0.0016602969,0.000045869074,0.000023634444,0.0008069455,0.0010500187,0.0037737729,0.009701875,0.8552768,0.12733065,0.00007856323],"about_ca_topic_score_codex":0.0029950507,"about_ca_topic_score_gemma":0.0018564404,"teacher_disagreement_score":0.023903655,"about_ca_system_score_codex":0.001092216,"about_ca_system_score_gemma":0.0009321256,"threshold_uncertainty_score":0.07996571},"labels":[],"label_agreement":null},{"id":"W2964747572","doi":"10.1007/s00029-021-00654-1","title":"Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials","year":2021,"lang":"en","type":"preprint","venue":"Selecta Mathematica","topic":"Advanced Algebra and Geometry","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":"University of Ottawa; National Science Foundation","keywords":"Mathematics; Weyl group; Pure mathematics; Macdonald polynomials; Hecke operator; Algebra over a field; Koornwinder polynomials; Hecke algebra; Representation theory; Action (physics); Quotient; Affine transformation; Group (periodic table); Orthogonal polynomials; Modular form; Difference polynomials","score_opus":0.05563645095581866,"score_gpt":0.3487482903601124,"score_spread":0.29311183940429375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964747572","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9034056,0.00029480163,0.060842663,0.0007622695,0.00008252929,0.00003619466,0.00010031709,0.00031562845,0.034160152],"genre_scores_gemma":[0.9893885,0.00011680245,0.005300829,0.00006312044,0.000043397682,0.000018083203,0.00003883856,0.00003234137,0.004998007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997209,0.00006026371,0.000011315097,0.000048664908,0.00007771204,0.000081158054],"domain_scores_gemma":[0.9997427,0.000041300857,0.00005521176,0.00007444995,0.000025448067,0.000060893875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037813594,0.0002968294,0.00030211444,0.0008246224,0.00082944136,0.0013025842,0.0004837755,0.0005590671,0.0031429674],"category_scores_gemma":[0.00080926955,0.00018651916,0.0005693058,0.00050890446,0.0022784686,0.0020607107,0.0011052928,0.001074793,0.00048339224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023355407,0.000023121735,0.00022080351,0.000010557389,0.000003195094,0.00009121663,0.00022809976,0.0012846914,0.0023833138,0.99277496,0.0003114022,0.0026453198],"study_design_scores_gemma":[0.000031378277,0.000081361126,0.00060186506,0.000016023261,0.000010396629,0.0002599968,0.0002521747,0.01444714,0.005830882,0.97499657,0.0034466914,0.000025554991],"about_ca_topic_score_codex":0.00046905314,"about_ca_topic_score_gemma":0.00037665945,"teacher_disagreement_score":0.0031429674,"about_ca_system_score_codex":0.000771909,"about_ca_system_score_gemma":0.00033965506,"threshold_uncertainty_score":0.0105142},"labels":[],"label_agreement":null},{"id":"W2965430445","doi":"10.1007/s00209-019-02378-7","title":"Equidistribution theorems for holomorphic Siegel modular forms for $$GSp_4$$; Hecke fields and n-level density","year":2019,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Holomorphic function; Conjecture; Modular form; Pure mathematics; Cusp (singularity); Siegel modular form; Lift (data mining); Hecke algebra; Degree (music); Algebra over a field; Geometry","score_opus":0.052695426925012376,"score_gpt":0.3136577064470972,"score_spread":0.2609622795220848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2965430445","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32670698,0.0017349779,0.35337767,0.00775919,0.0010418035,0.00013733079,0.00036168267,0.0007207095,0.30815968],"genre_scores_gemma":[0.9118847,0.0011701712,0.03078991,0.001316731,0.0008096312,0.00019948452,0.0002920486,0.00052836386,0.053008925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988029,0.00032476406,0.00007020287,0.00026225057,0.00032406487,0.00021567801],"domain_scores_gemma":[0.9974625,0.0011557504,0.00036563957,0.00025789015,0.00032059368,0.00043761163],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035756668,0.0017439805,0.0012574566,0.0052586617,0.0034215364,0.0040008575,0.0029301932,0.0024287237,0.016655728],"category_scores_gemma":[0.00735738,0.0009395673,0.0017469799,0.0019682252,0.0061593195,0.009511006,0.0046271565,0.0051333974,0.0015971488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009704249,0.000011781133,0.000054841228,0.000010868213,0.0000034395746,0.00003142205,0.00007823741,0.0002220371,0.0002195606,0.9977931,0.00048024938,0.0010847877],"study_design_scores_gemma":[0.000009255452,0.000005101971,0.00008850784,0.000007590201,0.0000039814377,0.000056386572,0.000045670382,0.004411133,0.00026676303,0.99437684,0.0007205549,0.0000080686395],"about_ca_topic_score_codex":0.0013083458,"about_ca_topic_score_gemma":0.00113325,"teacher_disagreement_score":0.016655728,"about_ca_system_score_codex":0.0033897979,"about_ca_system_score_gemma":0.0010775524,"threshold_uncertainty_score":0.0557189},"labels":[],"label_agreement":null},{"id":"W2968420875","doi":"10.48550/arxiv.1908.04534","title":"The category of weight modules for symplectic oscillator Lie algebras","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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","keywords":"Subcategory; Mathematics; Symplectic geometry; Lie algebra; Combinatorics; Rank (graph theory); Algebra over a field; Pure mathematics","score_opus":0.07900635758767038,"score_gpt":0.22556608925454402,"score_spread":0.14655973166687364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2968420875","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85260564,0.0009487308,0.08448208,0.00060688116,0.00012883071,0.000040350355,0.00031372288,0.00027959587,0.06059412],"genre_scores_gemma":[0.98049086,0.0002806185,0.0057876073,0.00014621436,0.00010643257,0.00004106179,0.0002535133,0.000045852583,0.012847804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964404,0.00006144424,0.000016036838,0.00007171437,0.00012500041,0.00008167263],"domain_scores_gemma":[0.9997538,0.000038854352,0.000041532297,0.000025102408,0.0000534389,0.00008745231],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003058903,0.00035557503,0.00026278596,0.0013861721,0.0008710748,0.0016009652,0.0005984774,0.0004845691,0.003708507],"category_scores_gemma":[0.00055758667,0.0001761667,0.0003209353,0.0009726273,0.001559916,0.0027620634,0.0015797489,0.0004953015,0.0004720834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014651185,0.0000106913685,0.0005938112,0.000029234947,0.0000067451742,0.00008471102,0.0003330825,0.00038649596,0.002135314,0.9886719,0.0005775341,0.0071558077],"study_design_scores_gemma":[0.0000101837,0.000036435165,0.0023906939,0.000015453566,0.000010857254,0.00035824638,0.00025624305,0.00438371,0.0015395073,0.981437,0.009539689,0.000021956133],"about_ca_topic_score_codex":0.0008530616,"about_ca_topic_score_gemma":0.00051419414,"teacher_disagreement_score":0.003708507,"about_ca_system_score_codex":0.00064521434,"about_ca_system_score_gemma":0.00043479895,"threshold_uncertainty_score":0.01240623},"labels":[],"label_agreement":null},{"id":"W2969288576","doi":"10.1007/s00209-021-02784-w","title":"A reduction principle for Fourier coefficients of automorphic forms","year":2021,"lang":"en","type":"preprint","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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":"Banff International Research Station for Mathematical Innovation and Discovery; Vetenskapsrådet; Göteborgs Universitet; Knut och Alice Wallenbergs Stiftelse; National Science Foundation","keywords":"Mathematics; Fourier series; Fourier transform; Pure mathematics; Automorphic form; Quotient; Unipotent; Fourier analysis; Reduction (mathematics); Mathematical analysis; Geometry","score_opus":0.051569381186962866,"score_gpt":0.3508850442105995,"score_spread":0.29931566302363666,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969288576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69506603,0.00096642127,0.1453633,0.0012490985,0.0005697885,0.00009189695,0.00022969868,0.0003265536,0.15613715],"genre_scores_gemma":[0.9617549,0.00027927748,0.01310138,0.00015449621,0.0003481463,0.000039875278,0.00009110923,0.00014063847,0.024090163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943405,0.0001031117,0.000022608961,0.000087879336,0.00021523713,0.0001369603],"domain_scores_gemma":[0.9996908,0.00010842249,0.000034041674,0.00004498792,0.000058614067,0.00006316506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006536545,0.0005023101,0.0004854905,0.0015232307,0.0010150471,0.0020583968,0.00055744214,0.00064288033,0.006769267],"category_scores_gemma":[0.0011820022,0.00030432767,0.0007511599,0.00044545595,0.0017199158,0.0020646555,0.0012311584,0.0014635107,0.00092327164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023590863,0.000015240413,0.0001940449,0.000019914492,0.0000062860295,0.000114711416,0.0001945914,0.00042854124,0.0030645016,0.98841244,0.00062966434,0.00689648],"study_design_scores_gemma":[0.00003109765,0.000060804483,0.0007843411,0.000027448134,0.000013207718,0.00058434496,0.00020931693,0.00917541,0.0053322148,0.9729485,0.010802741,0.000030673713],"about_ca_topic_score_codex":0.00048066865,"about_ca_topic_score_gemma":0.00040648552,"teacher_disagreement_score":0.006769267,"about_ca_system_score_codex":0.0010566646,"about_ca_system_score_gemma":0.0003564242,"threshold_uncertainty_score":0.022645473},"labels":[],"label_agreement":null},{"id":"W2969964811","doi":"10.4153/s0008414x20000711","title":"Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups","year":2020,"lang":"en","type":"preprint","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Vetenskapsrådet; Knut och Alice Wallenbergs Stiftelse; National Science Foundation","keywords":"Automorphic form; Mathematics; Cusp form; Unipotent; Cusp (singularity); Fourier series; Langlands–Shahidi method; Pure mathematics; Automorphic L-function; Degenerate energy levels; Fourier transform; Eisenstein series; Group (periodic table); Converse theorem; Type (biology); Mathematical analysis; Modular form; Geometry; Physics; Quantum mechanics","score_opus":0.06911628629811148,"score_gpt":0.3218598619574789,"score_spread":0.25274357565936745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969964811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97562975,0.00009169772,0.017076699,0.00010825188,0.00003059042,0.000009325529,0.000025735993,0.00003487274,0.006993101],"genre_scores_gemma":[0.9950983,0.00005259274,0.0018438598,0.000016713897,0.000030802046,0.000006673179,0.000027600558,0.000021009899,0.0029023525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970055,0.000048900813,0.000013864508,0.000046214896,0.00010502058,0.00008550483],"domain_scores_gemma":[0.9995142,0.00014918743,0.000080522965,0.000051667706,0.00006984057,0.00013450162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044987196,0.0004380326,0.00037635543,0.0016069494,0.00066396303,0.0012406182,0.000619409,0.00069698016,0.0049576727],"category_scores_gemma":[0.0019206026,0.00020446227,0.00036466392,0.00046168416,0.0019346946,0.0020909668,0.0010202938,0.0008215839,0.0003606555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019363762,0.00010521401,0.0036334924,0.000068903115,0.00002064312,0.0010946492,0.0010710474,0.0052435356,0.03309292,0.9414107,0.00050062034,0.013564562],"study_design_scores_gemma":[0.00004339473,0.00013657866,0.0064458395,0.000070401955,0.000023805898,0.0015314402,0.0008626572,0.07401495,0.020461826,0.89398783,0.0023443296,0.00007690613],"about_ca_topic_score_codex":0.0003633846,"about_ca_topic_score_gemma":0.00031206463,"teacher_disagreement_score":0.0049576727,"about_ca_system_score_codex":0.00057036843,"about_ca_system_score_gemma":0.00027587684,"threshold_uncertainty_score":0.016585052},"labels":[],"label_agreement":null},{"id":"W2969973273","doi":"10.4153/s000843952000020x","title":"The Modularity of Special Cycles on Orthogonal Shimura Varieties over Totally Real Fields under the Beilinson–Bloch Conjecture","year":2020,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Mathematics; Modular form; Conjecture; Pure mathematics; Modularity (biology); Orthogonal group; Shimura variety; Codimension; Degree (music); Cohomology; Signature (topology); Siegel modular form; Group (periodic table); Series (stratigraphy); Field (mathematics); Combinatorics; Algebra over a field; Geometry","score_opus":0.0321762667589497,"score_gpt":0.2868366097019303,"score_spread":0.2546603429429806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969973273","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99070567,0.000081954124,0.004709948,0.00015113616,0.000015902691,0.000007844562,0.000020576297,0.000028332885,0.0042786007],"genre_scores_gemma":[0.99700695,0.0000740786,0.0012014442,0.000023701907,0.000040656465,0.000011045688,0.0000368876,0.0000092,0.0015960584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996947,0.000060248567,0.00001339431,0.000068574,0.00007443992,0.00008868678],"domain_scores_gemma":[0.9994469,0.00009682333,0.00015566114,0.00005570159,0.000059585964,0.00018528318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005575678,0.00044134047,0.00046068535,0.00167971,0.0011925107,0.001285974,0.00048256054,0.0006041117,0.0021983876],"category_scores_gemma":[0.0015474182,0.00032981485,0.00055933173,0.00066474534,0.0024293568,0.0020914169,0.0013290283,0.00058250123,0.00014498939],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017981685,0.00004532006,0.006179027,0.000041942672,0.000019856785,0.0005586325,0.0011210626,0.0046510203,0.0066713383,0.97067416,0.00065801054,0.009199732],"study_design_scores_gemma":[0.00006395938,0.00012831566,0.008308087,0.000031548912,0.00003296987,0.00078963774,0.00055749854,0.030536735,0.0041143936,0.95176053,0.0036292814,0.000046906003],"about_ca_topic_score_codex":0.00126055,"about_ca_topic_score_gemma":0.000901637,"teacher_disagreement_score":0.0021983876,"about_ca_system_score_codex":0.0010750465,"about_ca_system_score_gemma":0.00036353638,"threshold_uncertainty_score":0.0078000426},"labels":[],"label_agreement":null},{"id":"W2970908236","doi":"10.1142/s1793042120500244","title":"Norm-compatible systems of cohomology classes for GU(2,2)","year":2019,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Engineering and Physical Sciences Research Council","keywords":"Shimura variety; Mathematics; Cohomology; Symplectic geometry; Pure mathematics; Unitary state; Algebra over a field; TRACE (psycholinguistics); Norm (philosophy); Variety (cybernetics); Modular form; Siegel modular form; Linguistics","score_opus":0.024556223622780423,"score_gpt":0.3539894033543051,"score_spread":0.3294331797315247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2970908236","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9116539,0.00014630295,0.05470983,0.00035662946,0.00011322021,0.00006016579,0.00013411832,0.00023578714,0.032590017],"genre_scores_gemma":[0.98235047,0.00007129629,0.009502009,0.000053578628,0.00006790798,0.000052643187,0.00017801744,0.00007923476,0.0076448484],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948764,0.00008866435,0.000024442483,0.000121921854,0.00015605544,0.00012121592],"domain_scores_gemma":[0.9994949,0.00009943825,0.00008545903,0.00006726898,0.000074424475,0.00017846591],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006360132,0.000573407,0.00048242992,0.0019092215,0.0020517411,0.001997607,0.0008375711,0.00089030346,0.0067871893],"category_scores_gemma":[0.0016519522,0.0002786923,0.0005553664,0.00071092846,0.0020747148,0.003168683,0.001943825,0.001292623,0.0005160558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035252404,0.00004716312,0.0009327965,0.000026266458,0.000006788345,0.00025264217,0.0005725098,0.0006854208,0.003932758,0.9877472,0.00042033428,0.005340838],"study_design_scores_gemma":[0.000042673546,0.00011882319,0.0028084936,0.000026082285,0.0000132057,0.00045982483,0.00048373797,0.01440172,0.0058275284,0.9703157,0.0054485025,0.000053811495],"about_ca_topic_score_codex":0.0004421668,"about_ca_topic_score_gemma":0.00047705305,"teacher_disagreement_score":0.0067871893,"about_ca_system_score_codex":0.00093840837,"about_ca_system_score_gemma":0.0003199479,"threshold_uncertainty_score":0.022705376},"labels":[],"label_agreement":null},{"id":"W2972323289","doi":"10.1090/ert/590","title":"Typical representations via fixed point sets in Bruhat–Tits buildings","year":2021,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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; Mathematisches Forschungsinstitut Oberwolfach","keywords":"Fixed point; Mathematics; Torus; Representation (politics); Group (periodic table); Pure mathematics; Set (abstract data type); Point (geometry); Irreducible representation; Action (physics); Combinatorics; Geometry; Computer science; Mathematical analysis; Physics","score_opus":0.03026959394429015,"score_gpt":0.34966294126561276,"score_spread":0.31939334732132263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2972323289","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2335092,0.0009963304,0.31521168,0.0029061805,0.00045670717,0.0001231326,0.00087221176,0.0011772888,0.44474724],"genre_scores_gemma":[0.8571721,0.00063645956,0.07179634,0.00042254274,0.00024970225,0.00013332255,0.0008005459,0.00050047174,0.06828857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939716,0.00014280574,0.000026400692,0.00013313624,0.00018891283,0.00011150471],"domain_scores_gemma":[0.9995536,0.00013441447,0.00004500256,0.000100596546,0.00009299738,0.00007331666],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056370406,0.0005705201,0.00045561118,0.0020672567,0.0020753902,0.0031267134,0.00081130373,0.0011641667,0.01506606],"category_scores_gemma":[0.0015984785,0.0003533911,0.00081095047,0.0012879494,0.0031754877,0.0034585982,0.0022661402,0.0021957804,0.0034495166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052366413,0.000003901917,0.000038781134,0.000009507225,0.0000015372547,0.000023499235,0.00013786882,0.00033153282,0.00015305505,0.99616975,0.0006985752,0.0024267111],"study_design_scores_gemma":[0.0000070024657,0.000008867915,0.00010417771,0.000010571543,0.0000029795465,0.000055432145,0.00015906243,0.0021811693,0.00033602494,0.98820007,0.008925258,0.000009375582],"about_ca_topic_score_codex":0.0020942949,"about_ca_topic_score_gemma":0.0024818433,"teacher_disagreement_score":0.01506606,"about_ca_system_score_codex":0.0017595624,"about_ca_system_score_gemma":0.0005060903,"threshold_uncertainty_score":0.050400972},"labels":[],"label_agreement":null},{"id":"W2975256892","doi":"10.1007/978-3-030-27227-2_5","title":"The Symplectic Structure on Coadjoint Orbits","year":2019,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Advanced Algebra and Geometry","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; University of Waterloo","funders":"","keywords":"Symplectic geometry; Action (physics); Orbit (dynamics); Mathematics; Pure mathematics; Lie group; Symplectic group; Lie algebra; Symplectomorphism; Adjoint representation; Symplectic representation; Algebra over a field; Moment map; Physics; Quantum mechanics","score_opus":0.029587336939717813,"score_gpt":0.28332085194648615,"score_spread":0.25373351500676833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2975256892","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0972684,0.0174641,0.048172977,0.0072651273,0.0040474064,0.000038021895,0.00028531358,0.00013335343,0.8253253],"genre_scores_gemma":[0.6625263,0.010443352,0.0074546393,0.00073213095,0.00423003,0.000045249868,0.00022769191,0.00016382986,0.31417683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999848,0.00003244882,0.0000074311984,0.000027506752,0.000065129934,0.000019548039],"domain_scores_gemma":[0.9998708,0.000041509913,0.000014110732,0.000026034497,0.00002607015,0.00002154971],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022104368,0.000507063,0.00034060513,0.0012828972,0.0011239124,0.002544719,0.00040094313,0.00080926105,0.006249691],"category_scores_gemma":[0.0005843382,0.0003374178,0.00025830572,0.00133301,0.0034501692,0.0033960491,0.0013855933,0.001992376,0.0010038466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003111203,0.0000036680678,0.000021669308,0.000013428346,0.0000014083372,0.000018103778,0.00014999096,0.00013749511,0.000188075,0.9923447,0.0020228126,0.005095555],"study_design_scores_gemma":[0.0000022190748,0.0000048516868,0.00009382053,0.00000897825,0.0000011901345,0.000054830758,0.000054958076,0.00038318016,0.000068852845,0.9803208,0.01900345,0.0000028602824],"about_ca_topic_score_codex":0.00069738214,"about_ca_topic_score_gemma":0.0007198173,"teacher_disagreement_score":0.006249691,"about_ca_system_score_codex":0.0009251046,"about_ca_system_score_gemma":0.00048082357,"threshold_uncertainty_score":0.020907342},"labels":[],"label_agreement":null},{"id":"W2975613504","doi":"10.1007/978-3-030-27227-2_10","title":"The Duistermaat–Heckman Theorem","year":2019,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Advanced Algebra and Geometry","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; University of Waterloo","funders":"","keywords":"Symplectic geometry; Mathematics; Hamiltonian (control theory); Moment map; Pure mathematics; Quotient; Symplectomorphism; Measure (data warehouse); Slogan; Symplectic manifold; Computer science; Mathematical optimization","score_opus":0.031043005756080363,"score_gpt":0.286882257233737,"score_spread":0.2558392514776566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2975613504","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014286832,0.021822585,0.04100253,0.008818704,0.0031588117,0.000021711094,0.00041089783,0.00017320931,0.9103046],"genre_scores_gemma":[0.3877806,0.020896763,0.028207958,0.004388529,0.005456102,0.00008865846,0.0005412292,0.00042889867,0.55221134],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961853,0.000107033826,0.000015360783,0.000097878175,0.00011240008,0.000048818845],"domain_scores_gemma":[0.9996772,0.00012582648,0.000029326138,0.00007236779,0.00006730127,0.000028046086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064462645,0.00064545206,0.00058091857,0.001378184,0.0011930367,0.0022190455,0.0006471197,0.0011239616,0.016128408],"category_scores_gemma":[0.0014750959,0.00042933103,0.0005870753,0.001192201,0.0039041855,0.0043360987,0.0015027706,0.0034824975,0.0042192866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007670015,0.000006475465,0.0000381994,0.000027310713,0.00000373755,0.000020358135,0.00008124103,0.00009263985,0.00018491085,0.9801222,0.008887532,0.010527757],"study_design_scores_gemma":[0.000004657754,0.000003944045,0.00015711987,0.00001755692,0.000003208413,0.00007690145,0.000023750728,0.00021143816,0.00015696172,0.9271524,0.07218604,0.0000059861645],"about_ca_topic_score_codex":0.0014213556,"about_ca_topic_score_gemma":0.0012781395,"teacher_disagreement_score":0.016128408,"about_ca_system_score_codex":0.0015708475,"about_ca_system_score_gemma":0.0007661869,"threshold_uncertainty_score":0.05395496},"labels":[],"label_agreement":null},{"id":"W2976872821","doi":"10.1112/s0010437x21007387","title":"Mirabolic Satake equivalence and supergroups","year":2021,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Equivalence (formal languages); Affine transformation; Supergroup; Grassmannian; Algebra over a field; Equivalence of categories","score_opus":0.0447727673231351,"score_gpt":0.32409460207161156,"score_spread":0.27932183474847644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2976872821","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48490107,0.0006194988,0.1987615,0.003516776,0.0007086135,0.00009890055,0.00025894836,0.0003926434,0.310742],"genre_scores_gemma":[0.9686979,0.00021733514,0.013702607,0.00044586573,0.00026190656,0.000050246268,0.00021153118,0.00006894803,0.016343659],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991184,0.00017362676,0.00005319364,0.0001833432,0.0002993077,0.00017204277],"domain_scores_gemma":[0.9991253,0.00020387825,0.00015922045,0.00020459115,0.00014656706,0.00016037912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006407382,0.00046845843,0.0003857886,0.0016585507,0.0018490226,0.0017383635,0.00066972186,0.00094650284,0.012334473],"category_scores_gemma":[0.0019047256,0.00021721217,0.000703076,0.0008868758,0.0036732575,0.005828972,0.0040909555,0.002319571,0.000959943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006275475,0.000008811805,0.00010337815,0.000006799087,0.0000016452175,0.000049351773,0.0001259612,0.00012182328,0.00044075717,0.9977457,0.00019966283,0.0011898701],"study_design_scores_gemma":[0.000007053777,0.000023062941,0.00034514186,0.00000806183,0.0000037363923,0.00016929163,0.00017891778,0.0014393824,0.0007429563,0.9925216,0.004553675,0.0000070241804],"about_ca_topic_score_codex":0.00047497806,"about_ca_topic_score_gemma":0.00045544896,"teacher_disagreement_score":0.012334473,"about_ca_system_score_codex":0.0007797178,"about_ca_system_score_gemma":0.00029883097,"threshold_uncertainty_score":0.041262925},"labels":[],"label_agreement":null},{"id":"W2978097160","doi":"10.4310/cntp.2021.v15.n3.a4","title":"Massive deformations of Maass forms and Jacobi forms","year":2021,"lang":"en","type":"preprint","venue":"Communications in Number Theory and Physics","topic":"Advanced Algebra and Geometry","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":"Kronecker delta; Modular form; String (physics); String theory; Graph; Modular design; Algebra over a field; Mathematics; Plane (geometry); Pure mathematics; Series (stratigraphy); Theoretical physics; Computer science; Physics; Geometry; Mathematical physics; Combinatorics; Geology; Quantum mechanics","score_opus":0.04165615946276871,"score_gpt":0.35359276127664596,"score_spread":0.3119366018138773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2978097160","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64325243,0.0009014648,0.14378951,0.0024074598,0.0012232147,0.00012496032,0.00024073299,0.00041882324,0.20764141],"genre_scores_gemma":[0.96014637,0.00033078337,0.014291184,0.0003324291,0.000368745,0.000049173123,0.000082196646,0.00007979417,0.024319312],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968004,0.000063932115,0.000018871984,0.000066321525,0.00010247919,0.0000684418],"domain_scores_gemma":[0.9995584,0.000045509027,0.00009699504,0.000091776936,0.00006917573,0.00013806156],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004849679,0.000663116,0.00033948864,0.0010594956,0.0011792841,0.001782087,0.00059219525,0.0007624137,0.005711916],"category_scores_gemma":[0.00079107494,0.00020112495,0.00049796526,0.00054615363,0.0027401182,0.0028222692,0.0018593824,0.0013598191,0.0007218596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006031087,0.0000075045136,0.00009980877,0.000007613495,0.0000018115171,0.000078294644,0.00015595285,0.00051500875,0.0015177313,0.99556583,0.0003559136,0.0016884722],"study_design_scores_gemma":[0.0000068718487,0.00003002508,0.00029183194,0.000011366072,0.0000029258156,0.00038235966,0.00016071122,0.0050957105,0.0011467766,0.9855123,0.0073413053,0.000017732578],"about_ca_topic_score_codex":0.00022858576,"about_ca_topic_score_gemma":0.00025187532,"teacher_disagreement_score":0.005711916,"about_ca_system_score_codex":0.00056775194,"about_ca_system_score_gemma":0.00033243245,"threshold_uncertainty_score":0.019108236},"labels":[],"label_agreement":null},{"id":"W2979887322","doi":"10.4213/tm4014","title":"Многочлен объема регулярных полупростых многообразий Хессенберга и многогранник Гельфанда-Цетлина","year":2019,"lang":"ru","type":"article","venue":"Труды Математического института им Стеклова","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"Japan Society for the Promotion of Science; National Research Foundation of Korea; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Lambda; Flag (linear algebra); Physics; Combinatorics; Mathematics; Algebra over a field; Pure mathematics; Quantum mechanics","score_opus":0.015276798957357153,"score_gpt":0.2861938706730813,"score_spread":0.2709170717157241,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2979887322","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03136196,0.0030966934,0.107730284,0.006930839,0.001172778,0.0002028812,0.0013726379,0.0011919328,0.8469399],"genre_scores_gemma":[0.47262686,0.0058437893,0.14379185,0.001808708,0.0008011166,0.0006756905,0.002195344,0.0018103059,0.3704463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99697053,0.0004930085,0.00013672908,0.000664077,0.0013441321,0.00039149952],"domain_scores_gemma":[0.99707544,0.00051949476,0.00022542734,0.0005740634,0.0012392924,0.0003662891],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014851558,0.0008006899,0.00047841898,0.0018984076,0.0030598538,0.0075268745,0.001215326,0.0017125745,0.0748416],"category_scores_gemma":[0.0052344427,0.00072729454,0.0007352189,0.0017040994,0.0036400035,0.005777496,0.003247252,0.0024668656,0.031017577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014348776,0.00008982079,0.0020794368,0.00034798714,0.000036445428,0.00038518317,0.002475216,0.001004611,0.008425901,0.86539125,0.024557102,0.09506341],"study_design_scores_gemma":[0.000042468702,0.000067628265,0.0033365877,0.00024935082,0.000052401905,0.00057147257,0.0026778278,0.0020226196,0.01027269,0.30054593,0.6800624,0.000098670775],"about_ca_topic_score_codex":0.004809378,"about_ca_topic_score_gemma":0.005261109,"teacher_disagreement_score":0.0748416,"about_ca_system_score_codex":0.0027858936,"about_ca_system_score_gemma":0.004575356,"threshold_uncertainty_score":0.2503701},"labels":[],"label_agreement":null},{"id":"W2981005749","doi":"10.4310/jdg/1689262061","title":"Extended Goldman symplectic structure in Fock–Goncharov coordinates","year":2023,"lang":"en","type":"article","venue":"Journal of Differential Geometry","topic":"Advanced Algebra and Geometry","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","funders":"","keywords":"Mathematics; Fock space; Symplectic geometry; Pure mathematics; Symplectomorphism; Poisson manifold; Graph; Algebra over a field; Discrete mathematics; Quantum mechanics","score_opus":0.02391068691529798,"score_gpt":0.3176388595382493,"score_spread":0.2937281726229513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981005749","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8218874,0.0006481039,0.10757409,0.0008554878,0.00027399143,0.00005473691,0.00017224727,0.00015420676,0.06837989],"genre_scores_gemma":[0.9740114,0.00038773043,0.013376337,0.000181086,0.00019619038,0.00003837173,0.00010946351,0.000067197834,0.011632153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999723,0.00007914441,0.000012331345,0.000053475287,0.000069506474,0.00006264351],"domain_scores_gemma":[0.99978083,0.0000313237,0.00004713109,0.000039074162,0.0000449023,0.00005674705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046620079,0.0005245546,0.00043090302,0.0010955209,0.00069331465,0.0013988435,0.00058491935,0.00057009934,0.003437367],"category_scores_gemma":[0.00060021767,0.00020559867,0.000435583,0.00057481957,0.0018557009,0.0018612443,0.0011366815,0.00079956756,0.0006479844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011607518,0.000008620704,0.00017972566,0.000014359805,0.0000030186084,0.000130787,0.00022337332,0.0016379923,0.0018326405,0.9927194,0.00022892031,0.0030095556],"study_design_scores_gemma":[0.000021212198,0.00008301981,0.0011473699,0.000023857954,0.000006439949,0.0004564697,0.00021771353,0.02179435,0.0012326398,0.96852064,0.0064665335,0.000029764084],"about_ca_topic_score_codex":0.0008418707,"about_ca_topic_score_gemma":0.00067753345,"teacher_disagreement_score":0.003437367,"about_ca_system_score_codex":0.00075154693,"about_ca_system_score_gemma":0.00040479816,"threshold_uncertainty_score":0.0114991665},"labels":[],"label_agreement":null},{"id":"W2990970551","doi":"10.22331/q-2020-09-07-317","title":"Wigner function for SU(1,1)","year":2020,"lang":"en","type":"article","venue":"Quantum","topic":"Advanced Algebra and Geometry","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":"Lakehead University","funders":"Ministerio de Ciencia e Innovación; Consejo Nacional de Ciencia y Tecnología","keywords":"Wigner distribution function; Formalism (music); Sadness; Symmetry (geometry); Parity (physics)","score_opus":0.09309509097856866,"score_gpt":0.32776590208587913,"score_spread":0.23467081110731047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2990970551","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03645944,0.002374668,0.88561815,0.0017206632,0.0005208802,0.00007449348,0.00039460397,0.0005797839,0.07225738],"genre_scores_gemma":[0.7001035,0.004780947,0.23713198,0.001655295,0.00081657525,0.0004184363,0.0009408481,0.00087778684,0.05327465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943274,0.00018770465,0.000023897355,0.0001028567,0.0001648048,0.000087948385],"domain_scores_gemma":[0.9992605,0.0002943924,0.00014159128,0.00016201971,0.00010806579,0.00003345545],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010698707,0.00067923666,0.0005831031,0.0016123678,0.00079641683,0.0016315302,0.00092447194,0.0014432424,0.009100892],"category_scores_gemma":[0.0033903278,0.00024041283,0.00058148307,0.0014781182,0.0017283709,0.0027176025,0.0008402618,0.0017281693,0.004584765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007309618,0.000005495669,0.000060706185,0.000031367283,0.0000028388465,0.00005226258,0.00006416604,0.0015655152,0.0012552354,0.9862812,0.0018937318,0.008780058],"study_design_scores_gemma":[0.000004723157,0.000013420704,0.0001480083,0.000018928933,0.000002984067,0.00016078594,0.000020181862,0.021111684,0.0014199369,0.9692517,0.007825462,0.00002214072],"about_ca_topic_score_codex":0.0005474639,"about_ca_topic_score_gemma":0.00030141044,"teacher_disagreement_score":0.009100892,"about_ca_system_score_codex":0.0005934137,"about_ca_system_score_gemma":0.00054632255,"threshold_uncertainty_score":0.030445516},"labels":[],"label_agreement":null},{"id":"W2996109950","doi":"10.5802/jtnb.1187","title":"Perfectoid Drinfeld Modular Forms","year":2022,"lang":"fr","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","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":"Concordia University; Statistics Canada","funders":"","keywords":"Modular design; Mathematics; Computer science; Programming language","score_opus":0.021089934978082744,"score_gpt":0.30510447976946053,"score_spread":0.2840145447913778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996109950","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3902408,0.008354279,0.16601291,0.0034244617,0.00067105115,0.00010946798,0.0006912087,0.00052278617,0.429973],"genre_scores_gemma":[0.9032081,0.0047780084,0.030402713,0.0004292779,0.0006408888,0.000056228135,0.000647749,0.00016262021,0.059674464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991592,0.00014956886,0.000047789264,0.00022616943,0.0002719487,0.00014536845],"domain_scores_gemma":[0.999443,0.0001527979,0.0000991387,0.00009956233,0.00012199864,0.00008352321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008753476,0.00078953186,0.00055591133,0.0020443257,0.0013934453,0.0019274675,0.0008679847,0.0008103294,0.010534194],"category_scores_gemma":[0.0018331829,0.00028579764,0.00072524033,0.0014870132,0.002302232,0.005360339,0.001576173,0.0019373122,0.002018183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011460626,0.000006412333,0.00021007002,0.00004479381,0.0000043024884,0.00008362554,0.00022192029,0.0006218358,0.0005163207,0.9870776,0.0013972125,0.009804538],"study_design_scores_gemma":[0.000007979481,0.00003503844,0.00054675015,0.000048547852,0.0000079367,0.00055766624,0.00026150554,0.0029513543,0.0012996193,0.95656914,0.037686393,0.000028193836],"about_ca_topic_score_codex":0.0011281715,"about_ca_topic_score_gemma":0.0007798698,"teacher_disagreement_score":0.010534194,"about_ca_system_score_codex":0.0020197376,"about_ca_system_score_gemma":0.00046741337,"threshold_uncertainty_score":0.03524041},"labels":[],"label_agreement":null},{"id":"W2996585458","doi":"10.1112/s0010437x19007048","title":"Galois level and congruence ideal for -adic families of finite slope Siegel modular forms","year":2019,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"Agence Nationale de la Recherche","keywords":"Galois module; Siegel modular form; Lift (data mining); Locus (genetics); Automorphic form; Congruence (geometry); Residual; Representation theory; Morphism","score_opus":0.03471327082212403,"score_gpt":0.2960040243612773,"score_spread":0.26129075353915326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996585458","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9626257,0.00017506044,0.019831337,0.00020499516,0.000024643174,0.00002186644,0.00007002094,0.00006469902,0.016981697],"genre_scores_gemma":[0.9932742,0.00012050557,0.0030827352,0.000020530137,0.000038266015,0.000019846128,0.00008250787,0.000020581969,0.0033407025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946886,0.000081821,0.000022872688,0.000093795985,0.00015477328,0.00017788864],"domain_scores_gemma":[0.9994843,0.000096179785,0.000105259445,0.00004766714,0.00006038877,0.0002061849],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008207447,0.0006353057,0.0005620648,0.002573322,0.001970073,0.0022923423,0.0005976383,0.0004677677,0.0030876964],"category_scores_gemma":[0.0012082958,0.0003404858,0.0008331624,0.0007394623,0.0030393158,0.0026197396,0.0018428952,0.0010298971,0.00038330714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014532839,0.000064507774,0.003022074,0.000037721402,0.000025148991,0.00068332255,0.0016554112,0.0032336726,0.0071974196,0.9782827,0.00035438966,0.005298324],"study_design_scores_gemma":[0.000094932926,0.00019087995,0.005580934,0.000049225247,0.000033482887,0.0010071504,0.0012127347,0.02175871,0.007371316,0.9575036,0.005134491,0.000062476465],"about_ca_topic_score_codex":0.00096209836,"about_ca_topic_score_gemma":0.0005429948,"teacher_disagreement_score":0.0030876964,"about_ca_system_score_codex":0.001578622,"about_ca_system_score_gemma":0.00033554249,"threshold_uncertainty_score":0.011453807},"labels":[],"label_agreement":null},{"id":"W2996677922","doi":"10.1112/jlms.12428","title":"On the L‐invariant of the adjoint of a weight one modular form","year":2021,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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; McGill University","funders":"European Research Council","keywords":"Mathematics; Invariant (physics); Algebraic number; Pure mathematics; Logarithm; Modular form; Discrete mathematics; Mathematical analysis; Mathematical physics","score_opus":0.030068526237375246,"score_gpt":0.26640567731393766,"score_spread":0.23633715107656242,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996677922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9193961,0.0002614578,0.035274237,0.0006862213,0.00026179967,0.000019507384,0.000033434153,0.00013250113,0.043934625],"genre_scores_gemma":[0.9932535,0.00010327294,0.002617503,0.00013713223,0.00016955937,0.00001217704,0.000025332076,0.000035055782,0.0036465183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994137,0.000120954304,0.000015242281,0.00012908284,0.00016963865,0.0001513328],"domain_scores_gemma":[0.9992073,0.00019258753,0.00018345889,0.00005845268,0.00014076412,0.00021746571],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090315024,0.00053706364,0.00057093217,0.00148603,0.0013632145,0.0019239866,0.00063487195,0.000747093,0.002609429],"category_scores_gemma":[0.0024371673,0.00019228543,0.000522405,0.00049513037,0.005721676,0.0026158863,0.0020382486,0.0017072416,0.0003488995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040782004,0.000034777135,0.0003518775,0.000022021675,0.000004209276,0.00016920156,0.00034620072,0.0005556027,0.0047057825,0.990531,0.00022147823,0.0030170125],"study_design_scores_gemma":[0.000045249202,0.00021402187,0.0016285139,0.000029345878,0.000014577821,0.0004273444,0.0003000316,0.013082869,0.0046545044,0.97754055,0.0020166289,0.000046281722],"about_ca_topic_score_codex":0.000733662,"about_ca_topic_score_gemma":0.0003647865,"teacher_disagreement_score":0.002609429,"about_ca_system_score_codex":0.00093586097,"about_ca_system_score_gemma":0.000676145,"threshold_uncertainty_score":0.008729398},"labels":[],"label_agreement":null},{"id":"W2998791115","doi":"10.1007/s40316-019-00130-5","title":"On the Bruhat-Tits stratification for GU(2,2) type Rapoport-Zink space: unramified case","year":2020,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Shimura variety; Modulo; Mathematics; Locus (genetics); Isomorphism (crystallography); Pure mathematics; Quadratic field; Stratification (seeds); Quadratic equation; Discrete mathematics; Modular form; Geometry","score_opus":0.0636203264719995,"score_gpt":0.30485378404562086,"score_spread":0.24123345757362136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2998791115","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7140766,0.0023192377,0.058338534,0.004777804,0.0007373513,0.00012339134,0.00064583175,0.00048737435,0.21849394],"genre_scores_gemma":[0.94616383,0.0008090717,0.009368213,0.0004813422,0.0004823173,0.00007317106,0.00039669193,0.00017032406,0.042054944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936384,0.00015759094,0.00002616216,0.00008855433,0.00016575176,0.00019805146],"domain_scores_gemma":[0.99905044,0.00020766251,0.00014520425,0.000084734456,0.00014893587,0.00036296181],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011261582,0.0011194864,0.0013367994,0.0043557514,0.005073751,0.0049102916,0.0014820124,0.001982882,0.010353934],"category_scores_gemma":[0.0023498142,0.0007184637,0.0008429222,0.001736083,0.005461108,0.0043663667,0.002882791,0.003393963,0.0016115146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032884265,0.000013947397,0.0001354863,0.00001887135,0.0000039992674,0.00010044099,0.00029094348,0.00052461226,0.0003796859,0.9964341,0.0007190908,0.0013458421],"study_design_scores_gemma":[0.000024904211,0.000018504432,0.00049941224,0.000024073115,0.0000063851676,0.000097707496,0.00020962801,0.0047982065,0.00020467359,0.99183935,0.0022571012,0.00002006265],"about_ca_topic_score_codex":0.01303047,"about_ca_topic_score_gemma":0.01153589,"teacher_disagreement_score":0.01303047,"about_ca_system_score_codex":0.0032128247,"about_ca_system_score_gemma":0.0017529181,"threshold_uncertainty_score":0.034637332},"labels":[],"label_agreement":null},{"id":"W3003537914","doi":"10.1515/forum-2020-0025","title":"Automorphic Schwarzian equations","year":2020,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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":"Eisenstein series; Equivariant map; Mathematics; Complex plane; Modular form; Automorphic form; Pure mathematics; Representation theory; Series (stratigraphy); Differential equation; Functional equation; Mathematical physics; Mathematical analysis","score_opus":0.09849174930093046,"score_gpt":0.3487907550641315,"score_spread":0.250299005763201,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003537914","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4780552,0.0023913267,0.16978419,0.0045386096,0.00089658255,0.000067160916,0.00044510263,0.00047169838,0.34335],"genre_scores_gemma":[0.9004951,0.0008968212,0.01039257,0.00059316814,0.00055062247,0.000031171807,0.00024946828,0.0001293542,0.08666188],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996532,0.00010980841,0.000014738078,0.00005380292,0.000110060035,0.00005828361],"domain_scores_gemma":[0.9995994,0.00011582512,0.00004788387,0.000040709187,0.000116842915,0.00007929863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000475492,0.00046221833,0.00048647306,0.001261774,0.00075578864,0.0011571484,0.00038636956,0.0005775256,0.01055756],"category_scores_gemma":[0.0014000209,0.0001876705,0.0006003627,0.0007095051,0.001504639,0.0013527896,0.001287799,0.001145042,0.0013995996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068556715,0.000005596231,0.00015496634,0.000016614184,0.000003801782,0.00005482647,0.000078740995,0.0007264304,0.0004641689,0.9946443,0.0011611414,0.0026827527],"study_design_scores_gemma":[0.000009320883,0.000016846341,0.00041409206,0.000013139552,0.000004862334,0.00014521423,0.00007711144,0.014193384,0.0003995479,0.978754,0.0059625134,0.000009932822],"about_ca_topic_score_codex":0.0017619637,"about_ca_topic_score_gemma":0.0015908274,"teacher_disagreement_score":0.01055756,"about_ca_system_score_codex":0.0010642415,"about_ca_system_score_gemma":0.0005783643,"threshold_uncertainty_score":0.035318553},"labels":[],"label_agreement":null},{"id":"W3004473969","doi":"10.4153/s0008439520000107","title":"Translates of Functions on the Heisenberg Group and the HRT Conjecture","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Conjecture; Heisenberg group; Group (periodic table); Integrable system; Pure mathematics; Mathematical physics; Combinatorics; Quantum mechanics; Physics","score_opus":0.02662817335576225,"score_gpt":0.22989329730186006,"score_spread":0.2032651239460978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3004473969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9273702,0.00031323475,0.023204725,0.0010403831,0.00014655036,0.000016057591,0.00006389904,0.00009785633,0.047747076],"genre_scores_gemma":[0.99461466,0.000074278796,0.0013666217,0.00011169566,0.00018427306,0.000009965869,0.0000419246,0.000013935877,0.0035826685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890184,0.00022430022,0.000046668418,0.00022855756,0.0003390544,0.00025961798],"domain_scores_gemma":[0.9973556,0.0011254445,0.0004327167,0.00035362958,0.00033653717,0.00039601917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012609961,0.00045947448,0.00092463085,0.0012137509,0.0014809234,0.0022153112,0.0005996078,0.0008050032,0.005672137],"category_scores_gemma":[0.0032369108,0.00030710179,0.00063267845,0.0006224776,0.0044753193,0.002954322,0.0020720055,0.001873604,0.00067288877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017755125,0.00005065478,0.0009545795,0.000025199397,0.000011898619,0.0003892538,0.0003567857,0.0012406743,0.002574956,0.9896006,0.00068655534,0.003931226],"study_design_scores_gemma":[0.00006714164,0.00007850027,0.0011974794,0.000009350331,0.000016342905,0.00032694073,0.0002883033,0.0068880324,0.0036031057,0.9858394,0.001664279,0.000021041096],"about_ca_topic_score_codex":0.0008491785,"about_ca_topic_score_gemma":0.00049057184,"teacher_disagreement_score":0.005672137,"about_ca_system_score_codex":0.00077083294,"about_ca_system_score_gemma":0.00054574147,"threshold_uncertainty_score":0.018975139},"labels":[],"label_agreement":null},{"id":"W3007925672","doi":"10.1007/s11537-019-1822-6","title":"Transgressions of the Euler class and Eisenstein cohomology of GLN(Z)","year":2020,"lang":"en","type":"article","venue":"Japanese journal of mathematics","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Lift (data mining); Euler's formula; Mathematics; Cohomology; Pure mathematics; Algebra over a field; Class (philosophy); Modular design; Kernel (algebra); Modular form; Computer science; Artificial intelligence; Mathematical analysis","score_opus":0.044440354751749414,"score_gpt":0.29638036284368885,"score_spread":0.25194000809193945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007925672","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92450166,0.000495943,0.022856267,0.0011862506,0.00032865064,0.000013772738,0.00007765122,0.00016584893,0.050374072],"genre_scores_gemma":[0.98281485,0.00024033136,0.002581366,0.00013071526,0.00026628553,0.000015054843,0.00008638951,0.000085891195,0.013778995],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994591,0.00010620998,0.000030346378,0.00013309448,0.00012565384,0.00014557138],"domain_scores_gemma":[0.9989705,0.00021289631,0.0001824047,0.00009536669,0.0001420564,0.00039668425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090736465,0.00086630817,0.0007348673,0.0035576983,0.0015538166,0.0019305851,0.0010439447,0.0007300868,0.009031522],"category_scores_gemma":[0.0024043084,0.0003297966,0.0006567636,0.0010485137,0.0033080508,0.0057020695,0.003040553,0.0019386534,0.00060025195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012091848,0.000068778776,0.0018148975,0.000029766772,0.000016063283,0.00033448872,0.0007335776,0.00051802007,0.0029092925,0.9861394,0.00041738703,0.0068974327],"study_design_scores_gemma":[0.000032467065,0.00007317165,0.0028586485,0.000020846444,0.000028446602,0.00046012507,0.00039574693,0.006236902,0.0016763452,0.9859555,0.0022331881,0.00002851418],"about_ca_topic_score_codex":0.0007272218,"about_ca_topic_score_gemma":0.0007145406,"teacher_disagreement_score":0.009031522,"about_ca_system_score_codex":0.0008616204,"about_ca_system_score_gemma":0.00043652704,"threshold_uncertainty_score":0.030213475},"labels":[],"label_agreement":null},{"id":"W3013350763","doi":"","title":"A simplified proof of the reduction point crossing sign formula for Verma modules","year":2020,"lang":"en","type":"article","venue":"Algebra and Discrete Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Hermitian matrix; Invariant (physics); Unitary state; Verma module; Pure mathematics; Sign (mathematics); (g,K)-module; Algebra over a field; Mathematical analysis; Lie algebra; Mathematical physics; Affine Lie algebra","score_opus":0.039278222789696296,"score_gpt":0.2974086147531312,"score_spread":0.2581303919634349,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3013350763","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02322419,0.003941739,0.6955554,0.014167482,0.0057984665,0.00035922969,0.0022751905,0.0016705907,0.25300777],"genre_scores_gemma":[0.5547845,0.006622724,0.31523266,0.010303063,0.005959386,0.00089504145,0.0026307371,0.0022439293,0.10132799],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977842,0.0003588436,0.0001419011,0.00034939506,0.0011484823,0.00021711332],"domain_scores_gemma":[0.99769586,0.0007888291,0.00013833902,0.0004180665,0.0008252668,0.0001336226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026919586,0.0019363647,0.0015449529,0.0032867033,0.0017705213,0.0030133286,0.0024922392,0.0019314582,0.03214615],"category_scores_gemma":[0.007692552,0.0008417631,0.002733356,0.0025290777,0.0039742514,0.0078076324,0.004929565,0.008233796,0.009372678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003395817,0.0000422811,0.00021080696,0.0002228934,0.00002426666,0.00035632652,0.00031741383,0.0011968345,0.002529891,0.9600096,0.015908508,0.019147215],"study_design_scores_gemma":[0.000019126122,0.000028666293,0.00047898298,0.00006716446,0.00003230608,0.00030543222,0.000064696666,0.00532059,0.0015749849,0.9603239,0.031744137,0.000040034614],"about_ca_topic_score_codex":0.0025572756,"about_ca_topic_score_gemma":0.00231865,"teacher_disagreement_score":0.03214615,"about_ca_system_score_codex":0.0021357473,"about_ca_system_score_gemma":0.0013198879,"threshold_uncertainty_score":0.107539594},"labels":[],"label_agreement":null},{"id":"W3013821105","doi":"10.1017/fmp.2020.1","title":"SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE","year":2020,"lang":"en","type":"article","venue":"Forum of Mathematics Pi","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Mathematisches Forschungsinstitut Oberwolfach; Institut Henri Poincaré; Alfred P. Sloan Foundation; Agence Nationale de la Recherche; National Science Foundation","keywords":"Galois module; Conjecture; Mathematics; Lattice (music); Pure mathematics; Cohomology; Modular representation theory; Combinatorics; Representation theory; Physics","score_opus":0.029562823871751964,"score_gpt":0.27700820992625325,"score_spread":0.24744538605450128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3013821105","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90756077,0.00039329767,0.0251128,0.0022498989,0.00013273185,0.000017195713,0.000095458745,0.00016424179,0.06427359],"genre_scores_gemma":[0.9942285,0.000101636244,0.002288059,0.00012720084,0.00007146394,0.000008410024,0.00005332694,0.000018265697,0.0031030725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995061,0.00009407226,0.000017835893,0.00009720767,0.00013799299,0.00014675205],"domain_scores_gemma":[0.9990977,0.0002469651,0.00018552692,0.00017274056,0.00008775731,0.00020926261],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006997555,0.0004853159,0.00047673736,0.0011469923,0.0018984228,0.0025274146,0.0007035975,0.0010865787,0.004561913],"category_scores_gemma":[0.0024398826,0.0002592398,0.0005351724,0.00069272285,0.0044359188,0.0045568747,0.0025351413,0.0016500847,0.00055122],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003393128,0.000015159921,0.00090086914,0.00001315525,0.0000033071992,0.00012370342,0.0003662084,0.00086801144,0.0005482774,0.99420786,0.000609881,0.0023095603],"study_design_scores_gemma":[0.000023495215,0.000022650402,0.0006829814,0.00001400712,0.0000057724187,0.00019961088,0.00029379313,0.006651974,0.0011170493,0.98817307,0.0027976504,0.000018095643],"about_ca_topic_score_codex":0.0011354495,"about_ca_topic_score_gemma":0.000846404,"teacher_disagreement_score":0.004561913,"about_ca_system_score_codex":0.0010022732,"about_ca_system_score_gemma":0.0003584305,"threshold_uncertainty_score":0.015261054},"labels":[],"label_agreement":null},{"id":"W3015077852","doi":"10.1007/s00209-020-02502-y","title":"Non-vanishing of Rankin-Selberg convolutions for Hilbert modular forms","year":2020,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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 Northern British Columbia","funders":"","keywords":"Mathematics; Modular form; Combinatorics; Modular group; Function (biology); Weight function; Pure mathematics; Mathematical analysis","score_opus":0.032495396154845216,"score_gpt":0.2838984858587031,"score_spread":0.2514030897038579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3015077852","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84654504,0.0010533683,0.08963121,0.0035993753,0.0005985641,0.00005649793,0.00024462436,0.0005768034,0.057694465],"genre_scores_gemma":[0.98103565,0.00035238703,0.00696173,0.0003062827,0.0005571413,0.000049006114,0.00017152955,0.00013627291,0.01043003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793965,0.0006306059,0.00012591445,0.00034577394,0.00050389854,0.00045413602],"domain_scores_gemma":[0.98944396,0.004346154,0.0014459734,0.0006994467,0.0008435358,0.0032209165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0050289603,0.0020432947,0.0018271715,0.0054228758,0.0033998261,0.00621823,0.0029184713,0.0029927834,0.0076430202],"category_scores_gemma":[0.017645009,0.0013818331,0.0013772413,0.0022155042,0.008889402,0.013577366,0.0056781615,0.0040986133,0.00092398445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000844985,0.00003818134,0.00035933036,0.000032817927,0.000011926982,0.00013107706,0.00023345316,0.0003160224,0.000698085,0.9964385,0.00037837902,0.0012779662],"study_design_scores_gemma":[0.000027795353,0.000023524528,0.00043371695,0.000010927158,0.000011025619,0.00022849285,0.00007301545,0.005997642,0.0005234253,0.99231064,0.0003355637,0.00002419418],"about_ca_topic_score_codex":0.00080309156,"about_ca_topic_score_gemma":0.0007945411,"teacher_disagreement_score":0.0076430202,"about_ca_system_score_codex":0.002519034,"about_ca_system_score_gemma":0.0018509642,"threshold_uncertainty_score":0.02659601},"labels":[],"label_agreement":null},{"id":"W3015953719","doi":"10.1090/pspum/101/14","title":"On vector-valued twisted conjugation invariant functions on a group; with an appendix by Stephen Donkin","year":2019,"lang":"en","type":"other","venue":"Proceedings of symposia in pure mathematics","topic":"Advanced Algebra and Geometry","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":"Centre de Recherches Mathématiques; National Science Foundation","keywords":"Invariant (physics); Group (periodic table); Mathematics; Pure mathematics; Physics; Mathematical physics; Quantum mechanics","score_opus":0.01390394718275217,"score_gpt":0.2552917870727385,"score_spread":0.2413878398899863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3015953719","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03426611,0.14059173,0.1553265,0.06415147,0.060057297,0.00022538406,0.0034863201,0.001074488,0.5408207],"genre_scores_gemma":[0.2806255,0.09770199,0.050458938,0.0077028014,0.031684145,0.00034987082,0.0037968864,0.0014988899,0.526181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996531,0.00011054348,0.000016355078,0.000068359856,0.00012736929,0.000024227988],"domain_scores_gemma":[0.99959725,0.00013899608,0.000026232037,0.000029220559,0.00014207246,0.00006625894],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009470057,0.0014777719,0.00080408476,0.002446094,0.0007498672,0.0013506558,0.0007259325,0.0006646731,0.014052339],"category_scores_gemma":[0.0014087571,0.00034821514,0.0005975825,0.002734464,0.0014207804,0.0025132056,0.001489816,0.0017374406,0.004462714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004633011,0.00008381151,0.00030157375,0.00043593376,0.000028333347,0.00022274695,0.00039706475,0.0025567894,0.0020820627,0.5953764,0.3523901,0.04607884],"study_design_scores_gemma":[0.000025994848,0.000051332005,0.0009606829,0.0001641409,0.00001718697,0.0003443234,0.00014838827,0.0034820216,0.0012289014,0.60079867,0.39272717,0.000051150706],"about_ca_topic_score_codex":0.0022055588,"about_ca_topic_score_gemma":0.0016578647,"teacher_disagreement_score":0.014052339,"about_ca_system_score_codex":0.00146811,"about_ca_system_score_gemma":0.0008526568,"threshold_uncertainty_score":0.047009706},"labels":[],"label_agreement":null},{"id":"W3018398560","doi":"10.1007/s40993-020-00196-z","title":"Λ -adic families of Jacobi forms","year":2020,"lang":"en","type":"article","venue":"Research Padua  Archive (University of Padua)","topic":"Advanced Algebra and Geometry","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":"Università degli Studi di Padova; Centre de Recherches Mathématiques","keywords":"Modular design; Modular form; Construct (python library); Mathematics; Lambda; Pure mathematics; Jacobi elliptic functions; Algebra over a field; Computer science; Physics; Programming language","score_opus":0.13261542459954495,"score_gpt":0.3485529886406742,"score_spread":0.21593756404112924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3018398560","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4175516,0.0023609085,0.096849546,0.0037335996,0.001263246,0.0001209647,0.00062938733,0.000604451,0.4768862],"genre_scores_gemma":[0.8807913,0.0012998282,0.016798338,0.00048324466,0.0008208158,0.00012524202,0.00038783983,0.00022589944,0.099067524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905723,0.00022313022,0.00004683853,0.00015188527,0.00032388684,0.00019701861],"domain_scores_gemma":[0.9989311,0.00027299943,0.0001322566,0.00011542559,0.00026235677,0.00028584324],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011184829,0.0011108462,0.00086260407,0.0055293324,0.0037862344,0.0047250716,0.0011661286,0.0010411052,0.010147909],"category_scores_gemma":[0.0022932596,0.00073448993,0.00090954156,0.0026236374,0.0030889283,0.0038667012,0.0024085979,0.0024326423,0.002191319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022830838,0.00001615807,0.00014216627,0.0000206156,0.000008361035,0.000087027576,0.00024246734,0.00015259649,0.0003956301,0.9952171,0.0010552516,0.0026397875],"study_design_scores_gemma":[0.000029735345,0.000020785756,0.0005029976,0.000026073367,0.000012850362,0.0005932913,0.00027099464,0.0015813619,0.00061458873,0.9863533,0.009971451,0.000022608432],"about_ca_topic_score_codex":0.00057334744,"about_ca_topic_score_gemma":0.0005026243,"teacher_disagreement_score":0.010147909,"about_ca_system_score_codex":0.00227485,"about_ca_system_score_gemma":0.0008358,"threshold_uncertainty_score":0.033948123},"labels":[],"label_agreement":null},{"id":"W3021603590","doi":"10.1007/s00220-023-04735-4","title":"BFN Springer Theory","year":2023,"lang":"en","type":"preprint","venue":"Communications in Mathematical Physics","topic":"Advanced Algebra and Geometry","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 Saskatchewan; McGill University; University of Toronto; Perimeter Institute","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pure mathematics; Mathematics; Vector bundle; Affine variety; Grassmannian; Symplectic geometry; Tautological line bundle; Affine transformation; Affine space; Space (punctuation); Algebra over a field; Normal bundle; Frame bundle; Computer science","score_opus":0.2210315566669125,"score_gpt":0.42795774072390896,"score_spread":0.20692618405699648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3021603590","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0037250435,0.0051766457,0.022361157,0.007364952,0.004228673,0.000033956472,0.0030598752,0.0009462239,0.9531035],"genre_scores_gemma":[0.07536067,0.0072339214,0.012353159,0.0014463208,0.003738326,0.00016481846,0.0038953507,0.0014653198,0.8943421],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999388,0.000107144755,0.000031963496,0.00014784226,0.0002734746,0.000051654388],"domain_scores_gemma":[0.9996037,0.00008872929,0.00003861371,0.000112428745,0.00011312515,0.00004353397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005334474,0.0011956185,0.0013003938,0.0041738795,0.0017785364,0.004988737,0.0008298952,0.0016250955,0.13617475],"category_scores_gemma":[0.0017677569,0.00049647276,0.00053564267,0.004755778,0.001209194,0.005199244,0.0018640067,0.0035810445,0.05421477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011822509,0.00000986089,0.000047350644,0.000072711206,0.0000059642944,0.000025472676,0.00005547975,0.000199636,0.00019823606,0.89359426,0.06988752,0.03589168],"study_design_scores_gemma":[0.0000079206375,0.000004107762,0.00012880008,0.00005365685,0.00000760857,0.00008100321,0.000028149148,0.00095008005,0.00020372924,0.683004,0.31552204,0.00000895766],"about_ca_topic_score_codex":0.0024517693,"about_ca_topic_score_gemma":0.0021319787,"teacher_disagreement_score":0.13617475,"about_ca_system_score_codex":0.002515714,"about_ca_system_score_gemma":0.0011375644,"threshold_uncertainty_score":0.45554996},"labels":[],"label_agreement":null},{"id":"W3022482432","doi":"10.1016/s1701-2163(16)34611-4","title":"In Response","year":2010,"lang":"en","type":"article","venue":"Journal of Obstetrics and Gynaecology Canada","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Centre Hospitalier Universitaire Sainte-Justine","funders":"","keywords":"Mathematics; Pure mathematics; Galois module; Cohomology; Conjecture; Equivariant map; Modular form; Eisenstein series; Abelian group; Monodromy; Automorphic form; Elliptic curve; Algebra over a field","score_opus":0.012714488662634903,"score_gpt":0.2658505528410408,"score_spread":0.2531360641784059,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3022482432","genre_codex":"commentary","genre_gemma":"commentary","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"commentary","genre_consensus":"commentary","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00035073975,0.001314795,0.00013769613,0.8799545,0.11176773,0.00006453909,0.00044148017,0.00009431407,0.0058742533],"genre_scores_gemma":[0.0010159988,0.0004011574,0.000078766374,0.94763446,0.017510043,0.00007004537,0.00008834877,0.000028321783,0.033172905],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9955095,0.00067460036,0.0004945268,0.0006890781,0.0014671963,0.001165146],"domain_scores_gemma":[0.979202,0.008630629,0.0014586954,0.00058986613,0.0054244474,0.004694363],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0041256156,0.001102545,0.0013899435,0.0013274666,0.0053096814,0.0068086763,0.0029212323,0.050316494,0.0874293],"category_scores_gemma":[0.04451364,0.00097327336,0.0017169915,0.0009106971,0.0019847476,0.0030888973,0.004764947,0.03927341,0.045064088],"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":[0.000019277475,0.000005922692,0.00018410884,0.000034176544,0.000003670822,0.000098799406,0.000048995946,0.00001135247,0.00005203896,0.00036571824,0.9974064,0.0017695524],"study_design_scores_gemma":[0.000040724455,0.000019644853,0.0011562026,0.00019835492,0.000012814153,0.00016259843,0.00070736045,0.00005943552,0.00011467318,0.0008044337,0.99668866,0.00003518222],"about_ca_topic_score_codex":0.0118346205,"about_ca_topic_score_gemma":0.02400112,"teacher_disagreement_score":0.0874293,"about_ca_system_score_codex":0.00496887,"about_ca_system_score_gemma":0.00879956,"threshold_uncertainty_score":0.29248017},"labels":[],"label_agreement":null},{"id":"W3023650506","doi":"10.1016/j.aim.2021.108074","title":"Arthur packets for G2 and perverse sheaves on cubics","year":2021,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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 Lethbridge; University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Pacific Institute for the Mathematical Sciences; University of Lethbridge; University of Calgary","keywords":"Unipotent; Network packet; Moduli space; Homogeneous; Pure mathematics; Mathematics; Equivariant map; Simple (philosophy); Stability (learning theory); Algebra over a field; Subject (documents); Space (punctuation); Computer science; Combinatorics; Epistemology; Philosophy","score_opus":0.04463817243439203,"score_gpt":0.3636460704764613,"score_spread":0.31900789804206925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3023650506","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92619383,0.0005897959,0.045479715,0.00041155037,0.0000806458,0.000030029385,0.0001601235,0.00012321949,0.026931176],"genre_scores_gemma":[0.9831707,0.00030133344,0.006281379,0.00006297369,0.00013603082,0.000016415406,0.00017067249,0.000048480902,0.009811965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973077,0.00004942464,0.000009293499,0.000038521473,0.000100299374,0.00007165524],"domain_scores_gemma":[0.99964285,0.00007909687,0.0000682615,0.000037079983,0.00005172633,0.00012098584],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045013725,0.00064862665,0.0002931584,0.002371032,0.0009653879,0.002107675,0.00045391943,0.00044645622,0.0037664082],"category_scores_gemma":[0.0009832536,0.00017639427,0.00050361175,0.0010347826,0.0020682141,0.0020811122,0.0016957048,0.0012078132,0.00044152833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036657973,0.00002660865,0.00115174,0.000026418431,0.0000059627837,0.00017976631,0.0005639332,0.002457576,0.0025125456,0.98543674,0.00057852594,0.007023415],"study_design_scores_gemma":[0.000018676083,0.00006781045,0.0029472616,0.000017458133,0.000008394953,0.00037387485,0.0005076361,0.017774826,0.0024378435,0.9691822,0.006634027,0.00002996253],"about_ca_topic_score_codex":0.0015714219,"about_ca_topic_score_gemma":0.00091569923,"teacher_disagreement_score":0.0037664082,"about_ca_system_score_codex":0.0007375533,"about_ca_system_score_gemma":0.0003486596,"threshold_uncertainty_score":0.012599945},"labels":[],"label_agreement":null},{"id":"W3024534006","doi":"10.1017/s1474748020000225","title":"MULTIPLICITY ONE AT FULL CONGRUENCE LEVEL","year":2020,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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":"National Science Foundation","keywords":"Mathematics; Galois module; Multiplicity (mathematics); Cohomology; Torsion (gastropod); Congruence subgroup; Pure mathematics; Combinatorics; Geometry","score_opus":0.1172388398184168,"score_gpt":0.3107092530603214,"score_spread":0.19347041324190456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3024534006","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8921899,0.00045824118,0.029901326,0.0014851533,0.00031603884,0.00005516451,0.00021533077,0.0004986738,0.0748801],"genre_scores_gemma":[0.9907217,0.00011870259,0.00259743,0.00009105905,0.00015832711,0.000018059696,0.00013159557,0.00007175247,0.006091243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989446,0.00013355211,0.000041616946,0.00021131404,0.00029919457,0.00036991676],"domain_scores_gemma":[0.99923265,0.0001414683,0.000101731806,0.00010650121,0.00011346806,0.00030409097],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052349665,0.0007375804,0.00087160064,0.0016040404,0.002339055,0.002552103,0.00083536806,0.0008271718,0.011341416],"category_scores_gemma":[0.0021119013,0.00033951792,0.00077127194,0.0006468213,0.0036826546,0.0042309626,0.0037213182,0.0027287365,0.0015551872],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019025696,0.00009804337,0.0017595676,0.0000692385,0.000009758028,0.00052414386,0.00087991136,0.00078877,0.004596971,0.97966,0.0016253883,0.00979792],"study_design_scores_gemma":[0.00007537823,0.00014225153,0.0018437795,0.000051442326,0.000018587765,0.00057521067,0.000516287,0.0057233498,0.00474429,0.97913355,0.0071239755,0.000051883875],"about_ca_topic_score_codex":0.0009507187,"about_ca_topic_score_gemma":0.00056344486,"teacher_disagreement_score":0.011341416,"about_ca_system_score_codex":0.0016561364,"about_ca_system_score_gemma":0.00067693903,"threshold_uncertainty_score":0.03794086},"labels":[],"label_agreement":null},{"id":"W3027107407","doi":"10.1007/s11856-020-2015-y","title":"The degenerate principal series representations of exceptional groups of type E6 over p-adic fields","year":2020,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Degenerate energy levels; Series (stratigraphy); Simple (philosophy); Quotient; Type (biology); Pure mathematics; Principal (computer security); Algebra over a field; Group (periodic table); Simple group","score_opus":0.05620249410311545,"score_gpt":0.3336308654590582,"score_spread":0.2774283713559427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3027107407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92111295,0.0002800431,0.019032486,0.000780546,0.0003083378,0.000045687626,0.00012845859,0.00022132747,0.05809012],"genre_scores_gemma":[0.9847098,0.00015003147,0.0034806335,0.00013034313,0.00020230244,0.000023180435,0.00014525332,0.000059846643,0.011098631],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992895,0.00015159565,0.00004364381,0.00010222378,0.00018349706,0.00022964757],"domain_scores_gemma":[0.9992341,0.00014797662,0.00015532166,0.000095573516,0.000080555765,0.00028647087],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010608521,0.0010914344,0.0010089782,0.0028553568,0.0024546774,0.0041981554,0.0011431419,0.0015938552,0.0065595745],"category_scores_gemma":[0.0020542361,0.00044765623,0.00092649244,0.0013496977,0.0036144229,0.0034958208,0.0031033088,0.001905584,0.0008422278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026106567,0.00007648506,0.00072247226,0.000028489789,0.000012863232,0.00059573934,0.00090355385,0.00084131846,0.0030227734,0.98612726,0.00064719236,0.0067607644],"study_design_scores_gemma":[0.00006894363,0.000095552125,0.00088536565,0.0000258655,0.000018695613,0.0006731968,0.00053413503,0.0060994695,0.0022684787,0.98633343,0.0029667944,0.000030065143],"about_ca_topic_score_codex":0.0004785937,"about_ca_topic_score_gemma":0.0003300775,"teacher_disagreement_score":0.0065595745,"about_ca_system_score_codex":0.0010303736,"about_ca_system_score_gemma":0.0005829614,"threshold_uncertainty_score":0.021943986},"labels":[],"label_agreement":null},{"id":"W30276211","doi":"10.5802/aif.2365","title":"Is the Luna stratification intrinsic?","year":2008,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","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; University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Stratification (seeds); Categorical variable; Mathematics; Quotient; Pure mathematics; Vector space; Algebraic number; Algebraically closed field; Algebraic group; Algebra over a field; Combinatorics; Mathematical analysis; Statistics; Biology","score_opus":0.06332935260542447,"score_gpt":0.3146512234664932,"score_spread":0.2513218708610687,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W30276211","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22105467,0.0027454225,0.073800586,0.011402805,0.00094563636,0.000064272666,0.0010511867,0.0011856097,0.68774974],"genre_scores_gemma":[0.9322486,0.00079709967,0.00605237,0.0011348677,0.0005310472,0.000043153555,0.0007132234,0.0002876299,0.058191955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990872,0.00015117491,0.000037557737,0.00026919684,0.0001931089,0.0002618653],"domain_scores_gemma":[0.9992594,0.00016305638,0.000073079485,0.00015828191,0.00014836898,0.00019775504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074094685,0.00030975175,0.00072248344,0.0010442113,0.002781987,0.005030261,0.0006063932,0.0009493446,0.019453708],"category_scores_gemma":[0.0022948987,0.00034127536,0.0006861829,0.00072115654,0.0040741446,0.006553754,0.0036751812,0.0023641111,0.0039433013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025361138,0.000008270244,0.0004515525,0.000020246136,0.000005311706,0.000051397343,0.00028206548,0.00010343481,0.000225228,0.9912628,0.002644045,0.004920356],"study_design_scores_gemma":[0.0000099050485,0.000011512982,0.0006406712,0.000022344331,0.000006815676,0.00008810678,0.0002588484,0.0006677994,0.0002849954,0.97561806,0.022377947,0.000012869837],"about_ca_topic_score_codex":0.0025241035,"about_ca_topic_score_gemma":0.0023860503,"teacher_disagreement_score":0.019453708,"about_ca_system_score_codex":0.0021773516,"about_ca_system_score_gemma":0.0011496762,"threshold_uncertainty_score":0.06507915},"labels":[],"label_agreement":null},{"id":"W3030806214","doi":"10.1112/s0010437x2100765x","title":"Fundamental local equivalences in quantum geometric Langlands","year":2021,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Institut Périmètre de physique théorique; Government of Canada","keywords":"Mathematics; Langlands dual group; Langlands program; Conjecture; Flag (linear algebra); Equivalence (formal languages); Pure mathematics; Affine transformation; Variety (cybernetics); Algebra over a field; Quantum; Physics; Quantum mechanics","score_opus":0.04512359420528589,"score_gpt":0.33143294766463854,"score_spread":0.28630935345935266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3030806214","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4544477,0.0028925426,0.14684902,0.00709292,0.0011504785,0.000078910365,0.00027699218,0.0004611001,0.38675037],"genre_scores_gemma":[0.9799287,0.0004745392,0.0071008196,0.000395426,0.00055985805,0.000032842465,0.000091601854,0.00004901865,0.011367179],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915695,0.00023526394,0.00004358246,0.00016071094,0.00025249284,0.000150942],"domain_scores_gemma":[0.999017,0.00035902593,0.000097637916,0.0001851526,0.00017609553,0.00016500056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014099268,0.00035475515,0.0005507423,0.0014075006,0.0018682665,0.0025785817,0.0006152203,0.0010679521,0.006287169],"category_scores_gemma":[0.0028511444,0.00023218441,0.0007120934,0.0006940326,0.0060894066,0.007002529,0.002319325,0.0021160538,0.00081670104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002615228,0.0000057273146,0.00003958452,0.000004403623,7.369417e-7,0.000016599519,0.000105259845,0.00008007915,0.000109166765,0.99866116,0.00017256399,0.000802258],"study_design_scores_gemma":[0.000003826999,0.0000085547135,0.00008450538,0.0000037028187,9.188573e-7,0.000027295855,0.000043639124,0.0004982794,0.000115845476,0.9977368,0.001472761,0.000003900422],"about_ca_topic_score_codex":0.00060419523,"about_ca_topic_score_gemma":0.00043017822,"teacher_disagreement_score":0.006287169,"about_ca_system_score_codex":0.0012708028,"about_ca_system_score_gemma":0.00048029196,"threshold_uncertainty_score":0.021032631},"labels":[],"label_agreement":null},{"id":"W3032073654","doi":"10.1515/conop-2020-0006","title":"On some extension of Paley Wiener theorem","year":2020,"lang":"en","type":"article","venue":"Concrete Operators","topic":"Advanced Algebra and Geometry","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; Unitary representation; Unimodular matrix; Lie group; Pure mathematics; Holomorphic function; Fourier transform; Compact group; Integral representation theorem for classical Wiener space; Fourier inversion theorem; Mathematical analysis; Fractional Fourier transform; Fourier analysis","score_opus":0.035212310010334494,"score_gpt":0.28784542044642075,"score_spread":0.2526331104360863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3032073654","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3751929,0.0044300477,0.41481653,0.006942948,0.00071428646,0.00007832847,0.00027483364,0.00017553206,0.19737455],"genre_scores_gemma":[0.95805657,0.0015226577,0.020321097,0.00066263624,0.00071356515,0.000056578232,0.00008927283,0.0000637309,0.018513894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989323,0.00024686512,0.00005670159,0.00022647608,0.00035909342,0.00017846041],"domain_scores_gemma":[0.9982514,0.00085068046,0.00018048089,0.00017635924,0.00030729774,0.00023378759],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029588072,0.00045662507,0.0006994115,0.002606628,0.0017584455,0.002053118,0.0008111236,0.0010547457,0.0040184],"category_scores_gemma":[0.005743792,0.00029260942,0.0009243455,0.0011203303,0.0049153827,0.005877724,0.0037217387,0.002133506,0.00037582606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068394143,0.0000045720763,0.00015938425,0.00000837941,0.0000020894672,0.000039450406,0.00008407366,0.00029209483,0.0001532393,0.99697816,0.00032826138,0.0019434603],"study_design_scores_gemma":[0.0000063140837,0.000018757946,0.00028333635,0.000013456935,0.0000031215725,0.00014528155,0.000057542522,0.006204973,0.0003210888,0.987772,0.0051665176,0.000007707766],"about_ca_topic_score_codex":0.0007776953,"about_ca_topic_score_gemma":0.0002763947,"teacher_disagreement_score":0.0040184,"about_ca_system_score_codex":0.0012933194,"about_ca_system_score_gemma":0.0005033718,"threshold_uncertainty_score":0.015647829},"labels":[],"label_agreement":null},{"id":"W3032999398","doi":"10.1007/s40993-021-00248-y","title":"Non-vanishing of derivatives of L-functions of Hilbert modular forms in the critical strip","year":2021,"lang":"en","type":"preprint","venue":"Research in Number Theory","topic":"Advanced Algebra and Geometry","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 Northern British Columbia","funders":"","keywords":"Modular form; Modular design; Mathematics; Line (geometry); Pure mathematics; Physics; Geometry; Computer science","score_opus":0.11770244399543972,"score_gpt":0.4532979503894708,"score_spread":0.3355955063940311,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3032999398","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94409215,0.0013660764,0.026161443,0.0014811737,0.00021797635,0.00003029887,0.000121450605,0.00031562697,0.02621375],"genre_scores_gemma":[0.99264705,0.000314179,0.0023640834,0.000109395965,0.0002222517,0.000024558394,0.000112463174,0.00008495207,0.004121106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993231,0.00024291294,0.000033417244,0.00014159436,0.00010819094,0.00015073648],"domain_scores_gemma":[0.99475336,0.0020212238,0.0007986197,0.00035308456,0.000485708,0.0015879209],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020591149,0.0016455246,0.0013867029,0.0056663207,0.002091354,0.004541412,0.0023516146,0.0018944632,0.0046320856],"category_scores_gemma":[0.010374196,0.0010328281,0.0008981572,0.0015864521,0.0069020106,0.007978931,0.0029342168,0.0026833583,0.0004481718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029376388,0.00008038636,0.0019226914,0.0001343863,0.000037860995,0.00070630386,0.00052968797,0.002198082,0.0048588733,0.9860742,0.00097172224,0.0021920123],"study_design_scores_gemma":[0.0001275408,0.00007274912,0.00312938,0.000051553314,0.00003604294,0.00071065483,0.00027215554,0.03140447,0.0018257402,0.9615551,0.00075316743,0.0000613788],"about_ca_topic_score_codex":0.0008029795,"about_ca_topic_score_gemma":0.00055976294,"teacher_disagreement_score":0.0056663207,"about_ca_system_score_codex":0.0016668125,"about_ca_system_score_gemma":0.0008736931,"threshold_uncertainty_score":0.015495896},"labels":[],"label_agreement":null},{"id":"W3037046990","doi":"10.1016/j.jnt.2021.05.019","title":"Rigid analytic vectors of crystalline representations arising in p-adic Langlands","year":2021,"lang":"en","type":"preprint","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"University of British Columbia; Centre National de la Recherche Scientifique; Pacific Institute for the Mathematical Sciences","keywords":"Representation (politics); Unitary state; Mathematics; Unitary representation; Physics; Pure mathematics; Mathematical physics; Algebra over a field; Combinatorics; Lie group","score_opus":0.038588145986900364,"score_gpt":0.37346776418822974,"score_spread":0.3348796182013294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037046990","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7540842,0.000860561,0.08635396,0.0018616716,0.0010485654,0.00012460188,0.0006054135,0.00044642057,0.15461464],"genre_scores_gemma":[0.94822466,0.0004638022,0.011432084,0.0003234102,0.0006000123,0.000081823484,0.00045856246,0.00024272209,0.03817297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999243,0.00015640413,0.000054048724,0.00011693501,0.00022840938,0.00020128782],"domain_scores_gemma":[0.9990522,0.0002135997,0.00017747565,0.00011292793,0.00016874904,0.0002750084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011157102,0.0014038079,0.00091190275,0.004407357,0.0025678666,0.006362681,0.001292349,0.0015771075,0.010895408],"category_scores_gemma":[0.0020740477,0.00058810686,0.0009100574,0.0027514568,0.003279443,0.0060317437,0.0026227839,0.0023837052,0.0017118289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027021757,0.00002351312,0.000085040185,0.000009843778,0.0000039586575,0.00008206751,0.00016835243,0.00018906615,0.0006225558,0.99648935,0.0004501318,0.0018490294],"study_design_scores_gemma":[0.000021860757,0.000027157259,0.00019882676,0.000009707426,0.0000065406502,0.00016347386,0.00021126824,0.0021283336,0.00048474036,0.994822,0.0019121502,0.000013982826],"about_ca_topic_score_codex":0.00069020526,"about_ca_topic_score_gemma":0.0006640539,"teacher_disagreement_score":0.010895408,"about_ca_system_score_codex":0.0015957078,"about_ca_system_score_gemma":0.000769953,"threshold_uncertainty_score":0.036448777},"labels":[],"label_agreement":null},{"id":"W3040650615","doi":"10.4153/s0008439520000491","title":"Deligne–Lusztig varieties and basic EKOR strata","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Axiom; Disjoint union (topology); Pure mathematics; Geometry","score_opus":0.04279404581406465,"score_gpt":0.2558806918925447,"score_spread":0.21308664607848005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3040650615","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6849495,0.002053147,0.09189903,0.0010883688,0.00012079766,0.00012621512,0.00032936476,0.0004728477,0.2189608],"genre_scores_gemma":[0.97684,0.00054736855,0.009568973,0.0000964907,0.00006833705,0.000032143038,0.00011380686,0.000035274858,0.012697522],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999708,0.000037768375,0.000020008345,0.000047663172,0.00011001915,0.00007657083],"domain_scores_gemma":[0.9997491,0.000030959083,0.00004991063,0.000047659865,0.00005674471,0.00006552938],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004724291,0.00034580348,0.00029697182,0.0018794513,0.000917695,0.0018206378,0.00036762655,0.00043308683,0.004064465],"category_scores_gemma":[0.00056318636,0.00022175972,0.00039339944,0.00070677797,0.002822409,0.003260383,0.0019034848,0.0012012533,0.0005467591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010580647,0.000006127581,0.00046948696,0.000016870166,0.000003425925,0.00010174944,0.00034684714,0.00025965416,0.0013886753,0.99473804,0.0002688701,0.0023896398],"study_design_scores_gemma":[0.00002331044,0.000038196995,0.004076054,0.000046863577,0.000017711372,0.0007416968,0.00069108757,0.0031030492,0.0030226514,0.9635778,0.024626357,0.000035142577],"about_ca_topic_score_codex":0.00082100637,"about_ca_topic_score_gemma":0.0008604701,"teacher_disagreement_score":0.004064465,"about_ca_system_score_codex":0.00074251456,"about_ca_system_score_gemma":0.00039535444,"threshold_uncertainty_score":0.013597012},"labels":[],"label_agreement":null},{"id":"W3042700705","doi":"10.1007/s11139-019-00246-w","title":"Pullback of Klingen Eisenstein series and certain critical L-values identities","year":2020,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Eisenstein series; Pullback; Mathematics; Modular form; Fourier series; Pure mathematics; Siegel modular form; Series (stratigraphy); Congruence (geometry); Mathematical analysis; Geometry","score_opus":0.10766615674050117,"score_gpt":0.23204700800343978,"score_spread":0.1243808512629386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3042700705","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81989217,0.000635034,0.08095661,0.0011830413,0.0003111158,0.000045289533,0.000098609285,0.00036974042,0.09650832],"genre_scores_gemma":[0.9754484,0.0003255658,0.00848639,0.00017525697,0.00013519556,0.000047543992,0.00005826395,0.00012046464,0.015202759],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955994,0.00007350286,0.00002490114,0.0000779489,0.00013037238,0.00013334054],"domain_scores_gemma":[0.9992756,0.00017229874,0.00012406688,0.000089850815,0.0001278445,0.00021032052],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087334105,0.00080595457,0.0006408078,0.003088391,0.0015866916,0.0025977176,0.0008618281,0.00087339635,0.0061119036],"category_scores_gemma":[0.003017985,0.0003567871,0.00067192747,0.0010410537,0.0025088834,0.0048562377,0.0023507099,0.0018858955,0.0011191139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003181819,0.00003123677,0.00067667675,0.000028776934,0.000006252611,0.00046080543,0.00040301305,0.00045806175,0.003862308,0.9874303,0.00049277383,0.006117977],"study_design_scores_gemma":[0.00002288036,0.000041637028,0.00084408437,0.00003307809,0.000011575932,0.000628603,0.00030645978,0.005623249,0.005776538,0.98342913,0.0032580672,0.000024653507],"about_ca_topic_score_codex":0.00028106503,"about_ca_topic_score_gemma":0.00035195175,"teacher_disagreement_score":0.0061119036,"about_ca_system_score_codex":0.0014752798,"about_ca_system_score_gemma":0.0005298955,"threshold_uncertainty_score":0.0204463},"labels":[],"label_agreement":null},{"id":"W3044242877","doi":"10.2140/pjm.2021.312.1","title":"Restricting supercuspidal representations via a restriction of data","year":2021,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Extension (predicate logic); Field (mathematics); Set (abstract data type); Residual; Order (exchange); Representation (politics)","score_opus":0.11986304837526404,"score_gpt":0.37839317272592105,"score_spread":0.25853012435065703,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3044242877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7280741,0.00026232554,0.19576602,0.000811254,0.00023906273,0.00010999786,0.0005463534,0.00071296666,0.073478065],"genre_scores_gemma":[0.9446369,0.00025180366,0.034336865,0.00024534843,0.00015357084,0.00010181262,0.00048739175,0.00036306962,0.01942317],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990565,0.00015542221,0.000057162895,0.00021813822,0.00026738073,0.0002453752],"domain_scores_gemma":[0.9988047,0.00020559324,0.000124515,0.00047945496,0.00013060577,0.00025509356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007835463,0.0004912789,0.0005850794,0.0010262693,0.0013451569,0.0016377907,0.0010948443,0.0006220695,0.005040244],"category_scores_gemma":[0.0023386555,0.00036210648,0.00091999007,0.000676155,0.0024419276,0.0035356644,0.0038799788,0.0024252683,0.0010688412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010361711,0.000091763424,0.001328802,0.000063337204,0.000012175422,0.00047116433,0.0012420075,0.0019052351,0.009956378,0.9726783,0.0011863417,0.010961006],"study_design_scores_gemma":[0.000070714406,0.00016992162,0.0014194148,0.00003925144,0.00003916118,0.0011495888,0.0010484589,0.01613282,0.020414999,0.93457234,0.024867758,0.000075543634],"about_ca_topic_score_codex":0.0006824203,"about_ca_topic_score_gemma":0.0005165602,"teacher_disagreement_score":0.005040244,"about_ca_system_score_codex":0.00072576094,"about_ca_system_score_gemma":0.0004370904,"threshold_uncertainty_score":0.01686132},"labels":[],"label_agreement":null},{"id":"W3047107146","doi":"10.1093/imrn/rnab130","title":"Gelfand’s Trick for the Spherical Derived Hecke Algebra","year":2021,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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":"Deutsche Forschungsgemeinschaft; McGill University","keywords":"Hecke algebra; Mathematics; Pure mathematics; Commutative ring; Ring (chemistry); Algebra over a field; Commutative property; Order (exchange); Group (periodic table); Physics; Chemistry; Quantum mechanics","score_opus":0.22512583462462657,"score_gpt":0.47686121457151726,"score_spread":0.25173537994689066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3047107146","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2531491,0.0024132675,0.4031795,0.007416443,0.0017827688,0.00011193566,0.0005868929,0.00077564525,0.3305845],"genre_scores_gemma":[0.9223199,0.00090764003,0.04008579,0.00097548385,0.0005720446,0.000053944852,0.00021906648,0.00016887738,0.03469727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952006,0.0001205896,0.000028069182,0.000091130816,0.00016622173,0.000073892246],"domain_scores_gemma":[0.9996443,0.0000876987,0.000030372501,0.00007690897,0.000105493484,0.000055215485],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012354056,0.000491908,0.000453792,0.0012232384,0.0010533239,0.00152696,0.0007500745,0.00056142046,0.008467762],"category_scores_gemma":[0.0014108454,0.00021706251,0.00092216476,0.00066222175,0.0023189809,0.0036015662,0.0017538862,0.0018783521,0.0018575656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011490777,0.00000796599,0.000073659634,0.000018970743,0.0000051415523,0.000112216665,0.00018376426,0.000212571,0.0013348126,0.9937696,0.0013104271,0.0029594477],"study_design_scores_gemma":[0.000019749312,0.000030858184,0.0003174485,0.000014969822,0.000008746038,0.00033149775,0.00013525171,0.0024913074,0.0033721537,0.9799253,0.0133337695,0.000018948766],"about_ca_topic_score_codex":0.0009868381,"about_ca_topic_score_gemma":0.00070577307,"teacher_disagreement_score":0.008467762,"about_ca_system_score_codex":0.00076319557,"about_ca_system_score_gemma":0.0005104019,"threshold_uncertainty_score":0.028327465},"labels":[],"label_agreement":null},{"id":"W3072978300","doi":"10.1090/proc/15259","title":"On Lusztig’s asymptotic Hecke algebra for SL₂","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Center for Advanced Study, University of Illinois at Urbana-Champaign; Skolkovo Institute of Science and Technology","keywords":"Algorithm; Annotation; Type (biology); Computer science; Artificial intelligence; Mathematics; Biology","score_opus":0.03128348217618344,"score_gpt":0.29764689797159005,"score_spread":0.2663634157954066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3072978300","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34151176,0.0029035076,0.10413177,0.005265375,0.0008775538,0.00008448395,0.0009215416,0.0010341506,0.5432699],"genre_scores_gemma":[0.87526006,0.0014759352,0.01529475,0.0009080572,0.00067279406,0.00006957693,0.00075425603,0.00023033233,0.10533418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994204,0.000108885295,0.000021434938,0.00010312612,0.00019321863,0.00015295511],"domain_scores_gemma":[0.9996468,0.000074666284,0.000049161572,0.000043851953,0.00011512887,0.000070343856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006327827,0.0006330554,0.0005981238,0.001369332,0.0015160633,0.0018487982,0.00074365607,0.0008077841,0.013108583],"category_scores_gemma":[0.0011869746,0.00025240105,0.0008149488,0.001202835,0.002205751,0.0037592817,0.0016654142,0.0018715522,0.0033375588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021185735,0.000012711083,0.000105348896,0.00002796069,0.0000041399207,0.000060654136,0.00027415477,0.0004905553,0.00056400435,0.99178165,0.0019079414,0.004749674],"study_design_scores_gemma":[0.000010572815,0.000019823801,0.00032025864,0.000011767525,0.0000044808353,0.000060340208,0.00011840817,0.0022021113,0.0004993568,0.9872564,0.009483718,0.000012812716],"about_ca_topic_score_codex":0.0031161443,"about_ca_topic_score_gemma":0.0025945653,"teacher_disagreement_score":0.013108583,"about_ca_system_score_codex":0.002274969,"about_ca_system_score_gemma":0.0008488941,"threshold_uncertainty_score":0.043852568},"labels":[],"label_agreement":null},{"id":"W3081633300","doi":"10.4171/jems/1302","title":"Bases of tensor products and geometric Satake correspondence","year":2022,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Agence Nationale de la Recherche; Centre de Recherches Mathématiques","keywords":"Mathematics; Tensor product; Pure mathematics; Basis (linear algebra); Algebra over a field; General linear group; Algebraic number; Dual (grammatical number); Representation (politics); Tensor (intrinsic definition); Product (mathematics); Standard basis; Representation theory; Symmetric group; Mathematical analysis; Geometry","score_opus":0.035716718007867895,"score_gpt":0.27278540154158415,"score_spread":0.23706868353371624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3081633300","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68941474,0.00085814536,0.13088189,0.0015902489,0.00037270522,0.000088781715,0.00032025616,0.00045706166,0.17601623],"genre_scores_gemma":[0.97583413,0.00022443398,0.012340392,0.00015840134,0.00013974404,0.000047047328,0.00017716843,0.000085351094,0.0109934285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991961,0.00017076866,0.0000373101,0.00016057766,0.00022405945,0.00021123103],"domain_scores_gemma":[0.99946076,0.00007286273,0.00007311039,0.000113310765,0.00014245354,0.00013743539],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063120044,0.0005128268,0.0005441373,0.0016026556,0.0017915325,0.0025233675,0.000941464,0.0008908466,0.008330364],"category_scores_gemma":[0.0013861689,0.0003496012,0.00055431057,0.0011639334,0.0032329853,0.004768913,0.0028833628,0.0018782243,0.001251486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001370279,0.000008961972,0.00007400456,0.000008519468,0.0000017295974,0.000027317446,0.00010070111,0.0003450515,0.0005438407,0.99682474,0.00032757482,0.001723996],"study_design_scores_gemma":[0.000009061195,0.000027731989,0.00014390987,0.0000090677295,0.000002828436,0.00007581168,0.00015168864,0.0030184316,0.0010478907,0.99276674,0.0027351754,0.000011694742],"about_ca_topic_score_codex":0.0005545198,"about_ca_topic_score_gemma":0.00048275813,"teacher_disagreement_score":0.008330364,"about_ca_system_score_codex":0.00085884094,"about_ca_system_score_gemma":0.00046216632,"threshold_uncertainty_score":0.027867854},"labels":[],"label_agreement":null},{"id":"W3083665427","doi":"10.48550/arxiv.2009.03127","title":"Gelfand-Kirillov dimension and mod p cohomology for GL2","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Mathematics; Galois module; Dimension (graph theory); Cohomology; Prime (order theory); Quaternion algebra; Mod; Combinatorics; Spectrum (functional analysis); Hecke algebra; Center (category theory); Algebra over a field; Discrete mathematics; Pure mathematics; Physics; Division algebra; Filtered algebra","score_opus":0.14481355335709672,"score_gpt":0.2389748939586743,"score_spread":0.09416134060157758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3083665427","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9096957,0.0009837978,0.014214312,0.0017314884,0.00013668499,0.000013964422,0.00023195134,0.00012748098,0.07286457],"genre_scores_gemma":[0.9932147,0.0002567248,0.0016352587,0.00009322808,0.00011093303,0.000009622072,0.00011097578,0.000015990521,0.0045524966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976116,0.000041097068,0.000006586797,0.000046452427,0.00006126799,0.00008350113],"domain_scores_gemma":[0.9996619,0.00009803452,0.00007980639,0.000029839332,0.000032172662,0.000098234515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035226546,0.00071930606,0.00040306058,0.001940893,0.0015716644,0.0019716178,0.0005574697,0.00050011673,0.0066950265],"category_scores_gemma":[0.0007901061,0.00022099561,0.00042619935,0.0010720295,0.0025975099,0.002578519,0.0017881178,0.0012215688,0.0006621422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005208853,0.000026734337,0.0014820518,0.00003361145,0.000011295906,0.00015843174,0.00039769118,0.0011897282,0.0013758875,0.9887157,0.0013372173,0.005219632],"study_design_scores_gemma":[0.000025834232,0.000033885477,0.0029741742,0.000017856086,0.000009753983,0.00025810063,0.0002679344,0.0066761323,0.0010989255,0.9838276,0.0047837365,0.00002600229],"about_ca_topic_score_codex":0.0016881018,"about_ca_topic_score_gemma":0.0012724155,"teacher_disagreement_score":0.0066950265,"about_ca_system_score_codex":0.001605998,"about_ca_system_score_gemma":0.0004531194,"threshold_uncertainty_score":0.0223971},"labels":[],"label_agreement":null},{"id":"W3087240384","doi":"10.1007/s00209-020-02603-8","title":"Generalised Heegner cycles and the complex Abel–Jacobi map","year":2020,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Modulo; Complex multiplication; Elliptic curve; Pure mathematics; Algebraic cycle; Rank (graph theory); Variety (cybernetics); Modular form; Algebraic number; Algebra over a field; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.04902421992430067,"score_gpt":0.28492689148681544,"score_spread":0.23590267156251477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3087240384","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57067585,0.004363274,0.054531265,0.0051494516,0.0010326357,0.00009365996,0.00033981114,0.00024305782,0.36357108],"genre_scores_gemma":[0.91986436,0.0013344263,0.007791602,0.0005835846,0.0006352288,0.000059828966,0.00013187961,0.000112734655,0.069486365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996107,0.00008573408,0.000017525474,0.00007441017,0.000118159805,0.0000934474],"domain_scores_gemma":[0.999564,0.000099147306,0.00007639432,0.000053461074,0.000089849666,0.00011715633],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006092541,0.00082466955,0.00075121864,0.0029245648,0.0022035723,0.0033164995,0.00079491554,0.0014479457,0.008507308],"category_scores_gemma":[0.0015092288,0.0004164512,0.0005372339,0.001650215,0.003680472,0.0038110528,0.001958187,0.0021945804,0.0011406449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011420903,0.0000072792286,0.000040091312,0.000009001086,0.000002668492,0.00003871225,0.000119008095,0.00029742307,0.00034890653,0.9965791,0.00043983496,0.0021065972],"study_design_scores_gemma":[0.0000050127846,0.0000041399926,0.00010256147,0.0000035486487,0.0000015096808,0.000038024835,0.00004064724,0.00068648567,0.00011618313,0.99675226,0.002243766,0.0000059223757],"about_ca_topic_score_codex":0.0026498667,"about_ca_topic_score_gemma":0.001652236,"teacher_disagreement_score":0.008507308,"about_ca_system_score_codex":0.0021416284,"about_ca_system_score_gemma":0.00082756125,"threshold_uncertainty_score":0.028459787},"labels":[],"label_agreement":null},{"id":"W3091770684","doi":"10.1007/s10801-023-01243-5","title":"A symmetric group action on the irreducible components of the Shi variety associated to $$W({\\widetilde{A}}_n)$$","year":2023,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Advanced Algebra and Geometry","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","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bijection; Variety (cybernetics); Mathematics; Conjugacy class; Combinatorics; Weyl group; Affine transformation; Group (periodic table); Pure mathematics; Physics","score_opus":0.0890377786718655,"score_gpt":0.32359613411937554,"score_spread":0.23455835544751003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091770684","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81320876,0.00018220855,0.026676662,0.00091557374,0.00042603843,0.0000701374,0.00019055653,0.00036677558,0.15796325],"genre_scores_gemma":[0.95469564,0.00013288857,0.003537265,0.00016251196,0.00016781827,0.000039503288,0.00019499351,0.00018233346,0.040887017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971527,0.000033347947,0.000009623563,0.000052798772,0.00007016648,0.00011873008],"domain_scores_gemma":[0.999775,0.00002533996,0.000043586842,0.000023024377,0.000030931136,0.000102101534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026900193,0.0007135522,0.00055995636,0.0016427158,0.0019597814,0.002041451,0.0006702464,0.0006558145,0.012140586],"category_scores_gemma":[0.00032802182,0.00033246225,0.00076228264,0.00072042807,0.0019541227,0.0016247142,0.001633491,0.0012227637,0.0016016465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009405585,0.0000478402,0.00038883553,0.000013939537,0.000009503218,0.00026000012,0.00028984703,0.00058015995,0.0061213677,0.98604405,0.0013686318,0.0047817235],"study_design_scores_gemma":[0.00007771554,0.00010094815,0.0025381292,0.000018862629,0.00002740403,0.000443398,0.00054094417,0.0070315944,0.0057198084,0.9732415,0.010211063,0.00004866882],"about_ca_topic_score_codex":0.0015392525,"about_ca_topic_score_gemma":0.0017615418,"teacher_disagreement_score":0.012140586,"about_ca_system_score_codex":0.0009270877,"about_ca_system_score_gemma":0.00072939176,"threshold_uncertainty_score":0.040614247},"labels":[],"label_agreement":null},{"id":"W3091976764","doi":"10.1515/crelle-2020-0030","title":"On a conjecture of Pappas and Rapoport about the standard local model for GL_<sub> <i>d</i> </sub>","year":2020,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","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":"Australian Research Council; Government of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Japan Society for the Promotion of Science; Centre de Recherches Mathématiques","keywords":"Conjecture; Mathematics; Generality; Affine transformation; Pure mathematics; Type (biology); Algebra over a field; Grassmannian; Combinatorics","score_opus":0.03487587038618202,"score_gpt":0.31393104699380947,"score_spread":0.27905517660762746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091976764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8237571,0.0011589017,0.061803713,0.028700415,0.00036810522,0.000043855798,0.00045764123,0.0006194354,0.08309081],"genre_scores_gemma":[0.9913419,0.000231197,0.002737044,0.000564812,0.00023506861,0.00002425933,0.00013129025,0.000039761988,0.004694827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993082,0.00016067534,0.00002516052,0.00021193597,0.0001424841,0.00015155526],"domain_scores_gemma":[0.99819,0.0007062912,0.00018460402,0.00044048455,0.00019410926,0.00028458406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001276062,0.00039489605,0.00076542544,0.0007663388,0.0018033948,0.0025072861,0.0012157358,0.0020669096,0.009710704],"category_scores_gemma":[0.003732832,0.00046482607,0.0009337959,0.00083904207,0.006507364,0.0065975776,0.0027568843,0.002780379,0.0009654408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078671175,0.00003441441,0.0007285056,0.000034295088,0.000007887712,0.0001952329,0.00072826,0.001324018,0.00057237304,0.98985296,0.003953468,0.0024897524],"study_design_scores_gemma":[0.00003381121,0.000033614448,0.0005374358,0.000021681686,0.00000980403,0.00015004873,0.0004249909,0.0051171766,0.0006758246,0.98906416,0.003912035,0.000019386469],"about_ca_topic_score_codex":0.0015749241,"about_ca_topic_score_gemma":0.0010923435,"teacher_disagreement_score":0.009710704,"about_ca_system_score_codex":0.0012130961,"about_ca_system_score_gemma":0.0005934527,"threshold_uncertainty_score":0.032485545},"labels":[],"label_agreement":null},{"id":"W3092015002","doi":"10.1112/blms.70007","title":"The Shi variety corresponding to an affine Weyl group","year":2025,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Affine transformation; Variety (cybernetics); Weyl group; Mathematics; Group (periodic table); Pure mathematics; Affine group; Physics; Statistics; Quantum mechanics","score_opus":0.015662033154241896,"score_gpt":0.3004012827329735,"score_spread":0.2847392495787316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3092015002","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8934838,0.00023955549,0.030546054,0.0003681947,0.0000909722,0.000038764974,0.00011543168,0.0001526268,0.07496459],"genre_scores_gemma":[0.99020946,0.00010343552,0.0021347448,0.000042170508,0.00006670508,0.000015480779,0.00006482417,0.000022606802,0.0073405798],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976283,0.00003635322,0.000008920114,0.000046500198,0.00006620674,0.000079151105],"domain_scores_gemma":[0.9998325,0.000023283528,0.000043156644,0.000019943547,0.000028793851,0.00005225591],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021177932,0.00031677922,0.0003170977,0.0011154658,0.0009777294,0.0014504208,0.00030862304,0.00035948743,0.005473224],"category_scores_gemma":[0.00033469792,0.0001647285,0.0004229068,0.00065226736,0.0020326094,0.0013496085,0.00135041,0.000963584,0.0005235094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042735337,0.000011756196,0.00038698528,0.000012359058,0.0000065008394,0.00016850987,0.00025991743,0.0007535552,0.0034504945,0.9912055,0.00029219958,0.0034095342],"study_design_scores_gemma":[0.00005669031,0.0001791171,0.0029622992,0.00002325654,0.000024964334,0.0007928956,0.0011780757,0.007058986,0.0063886913,0.965394,0.015897768,0.000043286807],"about_ca_topic_score_codex":0.0005660243,"about_ca_topic_score_gemma":0.00032585528,"teacher_disagreement_score":0.005473224,"about_ca_system_score_codex":0.0005520391,"about_ca_system_score_gemma":0.00023052783,"threshold_uncertainty_score":0.018309772},"labels":[],"label_agreement":null},{"id":"W3092304869","doi":"10.1016/j.jalgebra.2021.09.025","title":"Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl–Dirac operator","year":2021,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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":"Fonds de recherche du Québec – Nature et technologies; Fonds Wetenschappelijk Onderzoek","keywords":"Dirac operator; Dirac algebra; Clifford algebra; Mathematics; Algebra over a field; Yangian; Unitarity; Irreducible representation; Pure mathematics; Dirac (video compression format); Mathematical physics; Dirac equation; Physics; Quantum mechanics","score_opus":0.029027603479025,"score_gpt":0.31439707932924155,"score_spread":0.28536947585021655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3092304869","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69103676,0.0012205038,0.15033731,0.0031099021,0.0012661155,0.000089281915,0.00050396996,0.0005196618,0.15191643],"genre_scores_gemma":[0.9622559,0.00036671144,0.0113002965,0.00059707457,0.0005829392,0.00004572975,0.0003070339,0.00014414631,0.024400216],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993511,0.00013708549,0.000039693772,0.00010504887,0.00021341842,0.00015370896],"domain_scores_gemma":[0.99905354,0.00014715793,0.00015284095,0.00015758454,0.00020913385,0.00027976636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009786171,0.0008658015,0.0011762762,0.00189389,0.0015062569,0.0038651424,0.0016740981,0.0013771435,0.008038969],"category_scores_gemma":[0.0015950311,0.00036794017,0.00077734306,0.0011564229,0.0027038918,0.0036954223,0.0019079845,0.0020103795,0.0011907269],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024509603,0.000032883854,0.000077253666,0.000013604478,0.0000048049865,0.00005377408,0.0000792982,0.00054341217,0.00089703384,0.9955383,0.0005691544,0.0021659767],"study_design_scores_gemma":[0.000021370759,0.00001894175,0.00013864909,0.0000068793915,0.0000033641147,0.00011144168,0.00007066203,0.008245094,0.000313445,0.98989266,0.0011620461,0.00001537667],"about_ca_topic_score_codex":0.0014971886,"about_ca_topic_score_gemma":0.0010682696,"teacher_disagreement_score":0.008038969,"about_ca_system_score_codex":0.0015426625,"about_ca_system_score_gemma":0.0011132635,"threshold_uncertainty_score":0.02689302},"labels":[],"label_agreement":null},{"id":"W3098023984","doi":"","title":"Links between generalized Montréal-functors","year":2016,"lang":"en","type":"article","venue":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"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":"Magyar Tudományos Akadémia; Hungarian Scientific Research Fund","keywords":"Mathematics; Functor; Combinatorics; Equivariant map; Sheaf; Noncommutative geometry; Ring (chemistry); Discrete mathematics; Pure mathematics","score_opus":0.03344950170827617,"score_gpt":0.26956804807289164,"score_spread":0.23611854636461546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098023984","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2466122,0.003220193,0.37841228,0.0023337926,0.0010773476,0.00020298359,0.005089326,0.0030831015,0.35996872],"genre_scores_gemma":[0.8299157,0.0019728416,0.062175218,0.0006422678,0.0005389444,0.00022658646,0.005684529,0.0010205795,0.09782326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821705,0.00040951834,0.0001447085,0.00050543714,0.0004012844,0.0003220265],"domain_scores_gemma":[0.99783903,0.0006955772,0.00022488939,0.00040555402,0.0005854995,0.0002494484],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011628789,0.0011473184,0.00077901076,0.008103743,0.0028788545,0.0051803365,0.001568586,0.001403749,0.028554328],"category_scores_gemma":[0.004248678,0.00080229796,0.0015358924,0.00516417,0.0025019574,0.010043053,0.004965102,0.0030400483,0.0043818895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002591647,0.000013465743,0.00030297067,0.000028822082,0.000014938033,0.00012491536,0.00023671651,0.00023887592,0.0003226586,0.99091387,0.0015239597,0.0062529915],"study_design_scores_gemma":[0.000015949316,0.000012620196,0.0006671323,0.000028991632,0.000030169593,0.00018350083,0.00017722137,0.0018592064,0.00057244545,0.97126734,0.025158983,0.000026437743],"about_ca_topic_score_codex":0.006951849,"about_ca_topic_score_gemma":0.0060822335,"teacher_disagreement_score":0.028554328,"about_ca_system_score_codex":0.0029677504,"about_ca_system_score_gemma":0.0010016345,"threshold_uncertainty_score":0.095523715},"labels":[],"label_agreement":null},{"id":"W3098703294","doi":"10.1007/s00209-020-02646-x","title":"A filtration on the cohomology rings of regular nilpotent Hessenberg varieties","year":2020,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Mathematics; Nilpotent; Cohomology; Monomial; Pure mathematics; Cohomology ring; Filtration (mathematics); Local cohomology; Polynomial ring; Ring (chemistry); Polynomial; Discrete mathematics; Algebra over a field; Equivariant cohomology; Finitely-generated abelian group; Mathematical analysis","score_opus":0.042615184350544164,"score_gpt":0.26130766900982827,"score_spread":0.2186924846592841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098703294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7810784,0.0026603655,0.08041209,0.0025722224,0.000859846,0.000099239674,0.0009255745,0.00082112633,0.13057116],"genre_scores_gemma":[0.9617119,0.00085092784,0.007232638,0.00023854745,0.0006406311,0.000041416228,0.00047016572,0.000079370315,0.028734362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999421,0.00011498218,0.000030314099,0.00010290151,0.00013827143,0.0001925949],"domain_scores_gemma":[0.9987602,0.00028441066,0.00016222673,0.00009367702,0.00019508225,0.00050436053],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095085864,0.0007622608,0.00074334187,0.0030937202,0.0021318803,0.0043959413,0.0006607106,0.0007705975,0.008450121],"category_scores_gemma":[0.0013139772,0.00047097795,0.0008284828,0.0010693214,0.0019727065,0.005424015,0.0022290014,0.0018344922,0.0008924825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012282393,0.00006597995,0.00073232735,0.00006502893,0.000022925915,0.00030188804,0.000591493,0.0006785537,0.0035739935,0.98461306,0.0020975717,0.0071344003],"study_design_scores_gemma":[0.000046573787,0.00014755441,0.002632167,0.0000450228,0.000036075788,0.0006529339,0.0004310145,0.004227577,0.0025987006,0.97899437,0.010130943,0.000057006335],"about_ca_topic_score_codex":0.0008348277,"about_ca_topic_score_gemma":0.00081918977,"teacher_disagreement_score":0.008450121,"about_ca_system_score_codex":0.0013570362,"about_ca_system_score_gemma":0.000638854,"threshold_uncertainty_score":0.028268456},"labels":[],"label_agreement":null},{"id":"W3098845390","doi":"","title":"Regularized theta lifts and (1,1)-currents on GSpin Shimura varieties","year":2016,"lang":"en","type":"article","venue":"UCL Discovery (University College London)","topic":"Advanced Algebra and Geometry","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":"Shanghai Ocean University","keywords":"Mathematics; Lift (data mining); Shimura variety; Pure mathematics; Automorphic form; Theta function; Space (punctuation); Quadratic equation; Algebra over a field; Geometry; Modular form; Computer science","score_opus":0.018956220660109834,"score_gpt":0.23518809662208331,"score_spread":0.2162318759619735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098845390","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9398121,0.0002673489,0.027284464,0.00053529546,0.0003032402,0.000042434956,0.00008654321,0.00024506138,0.031423494],"genre_scores_gemma":[0.9768077,0.00025333147,0.0071683675,0.000116402356,0.00027047226,0.000035337533,0.00009989882,0.00007698225,0.015171447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997638,0.000033338376,0.000011212972,0.000045580193,0.000072325485,0.00007370515],"domain_scores_gemma":[0.99977154,0.000022380918,0.000035447218,0.000029758341,0.000035851786,0.000105013816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040488792,0.00056723616,0.00042787814,0.0018099645,0.0011167193,0.0015988613,0.0005269666,0.00055169617,0.0046843737],"category_scores_gemma":[0.000597787,0.0002543821,0.00072749663,0.00053983636,0.0023729876,0.0021922896,0.0019104623,0.0018319443,0.000731349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006490503,0.000039574075,0.0006398967,0.000028910603,0.0000071293784,0.00040306276,0.00066003227,0.0009769307,0.0058784997,0.9836007,0.00048697702,0.0072132223],"study_design_scores_gemma":[0.000052367115,0.00014232712,0.0016011262,0.000027108383,0.000016818723,0.00089544134,0.00074795453,0.007290444,0.0035212517,0.9781471,0.0075157224,0.00004236736],"about_ca_topic_score_codex":0.0004571322,"about_ca_topic_score_gemma":0.00041887854,"teacher_disagreement_score":0.0046843737,"about_ca_system_score_codex":0.00077499653,"about_ca_system_score_gemma":0.0003421013,"threshold_uncertainty_score":0.015670717},"labels":[],"label_agreement":null},{"id":"W3099338996","doi":"","title":"3 Linear Dependencies in Weyl-Heisenberg Orbits","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Perimeter Institute","funders":"","keywords":"Mathematics; Algebraic number; Eigenvalues and eigenvectors; Dimension (graph theory); Pure mathematics; Unitary state; Vector space; Clifford algebra; Subspace topology; Matrix (chemical analysis); Linear map; Algebra over a field; Mathematical analysis; Quantum mechanics; Physics","score_opus":0.04965882848669682,"score_gpt":0.33230707568442164,"score_spread":0.2826482471977248,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099338996","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9279581,0.00023668636,0.033109915,0.00075172225,0.000041357896,0.000028294611,0.00025586135,0.00015719236,0.037460927],"genre_scores_gemma":[0.9924447,0.00008974612,0.0045633293,0.00008911117,0.0000366929,0.000015911322,0.00009774868,0.000021707421,0.0026409454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940217,0.00008891731,0.000032336324,0.00011969708,0.00020281025,0.00015421135],"domain_scores_gemma":[0.9990404,0.00028486075,0.00021858513,0.00019032146,0.0001307049,0.00013515467],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005762461,0.0003066173,0.00031349776,0.0008726943,0.0013919472,0.0013754475,0.00047908802,0.00069638924,0.0040809354],"category_scores_gemma":[0.002166637,0.00024244588,0.0004530084,0.0005158067,0.0027823285,0.0026265713,0.0013669273,0.0010150998,0.00038162863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040439623,0.0000151928525,0.0011236898,0.000022731998,0.0000054319485,0.00015287363,0.00038623065,0.0034417403,0.0016021904,0.9888411,0.0005213045,0.0038471518],"study_design_scores_gemma":[0.000010740786,0.000032882952,0.0013303087,0.000016385899,0.000004153111,0.000153509,0.00014378759,0.011377617,0.0013215968,0.98400396,0.0015798085,0.000025229838],"about_ca_topic_score_codex":0.001809273,"about_ca_topic_score_gemma":0.00088716106,"teacher_disagreement_score":0.0040809354,"about_ca_system_score_codex":0.00094298564,"about_ca_system_score_gemma":0.00063297426,"threshold_uncertainty_score":0.013652027},"labels":[],"label_agreement":null},{"id":"W3099468726","doi":"","title":"THE COGROWTH SERIES FOR BS(N,N) IS D-FINITE","year":2014,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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; University of British Columbia","funders":"","keywords":"Mathematics; Series (stratigraphy); Font; Algebraic number; Combinatorics; Discrete mathematics; Arithmetic; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.027347688948510904,"score_gpt":0.30814359251506507,"score_spread":0.28079590356655415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099468726","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56640124,0.0013154999,0.20933041,0.0017012205,0.0007830407,0.0001031591,0.00063472555,0.0010643784,0.21866636],"genre_scores_gemma":[0.9462952,0.00061372225,0.024881922,0.00031043208,0.00021043904,0.00010861831,0.0004468739,0.00034417995,0.02678865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957615,0.000073428106,0.000019281511,0.000075765034,0.00015886979,0.00009650516],"domain_scores_gemma":[0.99907947,0.00027227652,0.00013068358,0.00013285868,0.00019092427,0.00019381865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008882259,0.0008933031,0.0005369229,0.00335864,0.0012511052,0.0019905507,0.0011526737,0.00063871127,0.01359533],"category_scores_gemma":[0.0028181442,0.00023115202,0.0007342719,0.001176562,0.0026689463,0.0031823127,0.0016188178,0.0016094238,0.002823758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051918258,0.000019265473,0.00040185967,0.00006413972,0.000007710794,0.000055998848,0.00016813801,0.002243461,0.0021764757,0.9839623,0.0014202261,0.009428613],"study_design_scores_gemma":[0.000015227373,0.000037226942,0.00072626857,0.000053554268,0.000011370762,0.00018177784,0.00012433264,0.01920987,0.005159267,0.9641103,0.010325553,0.000045165823],"about_ca_topic_score_codex":0.0011061308,"about_ca_topic_score_gemma":0.0014282124,"teacher_disagreement_score":0.01359533,"about_ca_system_score_codex":0.0015229187,"about_ca_system_score_gemma":0.0007144248,"threshold_uncertainty_score":0.045480967},"labels":[],"label_agreement":null},{"id":"W3100710564","doi":"","title":"FOUR FAMILIES OF WEYL GROUP ORBIT FUNCTIONS OF B3 AND C3.","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Université de Montréal","funders":"","keywords":"Mathematics; Lie group; Weyl group; Orbit (dynamics); Fourier transform; Pure mathematics; Symmetry group; Symmetry (geometry); Group (periodic table); Simple (philosophy); Special functions; Group theory; Lie algebra; Algebra over a field; Mathematical analysis; Physics; Quantum mechanics; Geometry","score_opus":0.031908162983055,"score_gpt":0.27207333707956194,"score_spread":0.24016517409650695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100710564","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93959147,0.00030614008,0.04296904,0.00025104705,0.00006862956,0.000026093747,0.0001537104,0.00012013179,0.016513633],"genre_scores_gemma":[0.99240816,0.000113829185,0.00424147,0.000040832725,0.000024308456,0.000024154597,0.0001201304,0.000039465325,0.0029876968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998135,0.00004110334,0.000006332111,0.000019834146,0.00006719993,0.000052024738],"domain_scores_gemma":[0.99948454,0.00012714321,0.00008930998,0.00004754929,0.00008485167,0.00016653648],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004229054,0.00047812474,0.0002759055,0.0015700699,0.00093611336,0.0011210333,0.0005587137,0.0008588192,0.0033688308],"category_scores_gemma":[0.0012848006,0.00016912588,0.00044529565,0.0006667131,0.0020236562,0.00093424,0.0005876673,0.00061908324,0.00031198908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025824615,0.000043614797,0.0021532483,0.00007183448,0.00001662335,0.00033638344,0.00035678895,0.0053197765,0.0107619865,0.9678398,0.0010695229,0.01177216],"study_design_scores_gemma":[0.000091692214,0.00019975175,0.0070930044,0.000073101524,0.00002776103,0.0018440072,0.00090641563,0.19082317,0.013394651,0.77819,0.0072271056,0.00012928246],"about_ca_topic_score_codex":0.0019426745,"about_ca_topic_score_gemma":0.0009889458,"teacher_disagreement_score":0.0033688308,"about_ca_system_score_codex":0.00073997333,"about_ca_system_score_gemma":0.00064224494,"threshold_uncertainty_score":0.011269867},"labels":[],"label_agreement":null},{"id":"W3100788008","doi":"","title":"ON TENSOR PRODUCTS OF POLYNOMIAL REPRESENTATIONS","year":2012,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Mathematics; Tensor product; Tensor product of algebras; Tensor (intrinsic definition); Polynomial; Pure mathematics; Tensor product of Hilbert spaces; Zero (linguistics); Product (mathematics); Algebra over a field; Combinatorics; Tensor contraction; Mathematical analysis; Geometry","score_opus":0.05739216978516692,"score_gpt":0.3558622987725371,"score_spread":0.2984701289873702,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100788008","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8585628,0.00048552133,0.08147022,0.0004879947,0.00019438892,0.00006639299,0.00019292015,0.00019453227,0.058345206],"genre_scores_gemma":[0.9864074,0.00012157825,0.0080365995,0.000059291404,0.000097728334,0.000027673168,0.00021643222,0.00005936433,0.0049740025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99764925,0.00065754284,0.0001331692,0.00045419874,0.0005848051,0.0005209849],"domain_scores_gemma":[0.9962649,0.0010820029,0.0006594419,0.0005201458,0.00079950754,0.00067399745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001960064,0.00076487707,0.00074346445,0.0018547976,0.001846612,0.0023114504,0.0007540025,0.000761147,0.007841241],"category_scores_gemma":[0.0060884776,0.00054453337,0.0007643215,0.0009773411,0.0037066804,0.0054376735,0.0024881694,0.001383564,0.0009106385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000991402,0.00003130215,0.00076077285,0.00005037365,0.000008017687,0.0003168767,0.0003368167,0.0014187478,0.003001376,0.99003124,0.0007154809,0.003229899],"study_design_scores_gemma":[0.00002625498,0.000083104846,0.00071228464,0.000033144424,0.000017602082,0.00044690026,0.00021711257,0.015019592,0.0030905216,0.9776573,0.0026671845,0.000028890614],"about_ca_topic_score_codex":0.0007524754,"about_ca_topic_score_gemma":0.0007731506,"teacher_disagreement_score":0.007841241,"about_ca_system_score_codex":0.0013227843,"about_ca_system_score_gemma":0.00059688947,"threshold_uncertainty_score":0.026231527},"labels":[],"label_agreement":null},{"id":"W3101050935","doi":"10.1215/00127094-2010-210","title":"The fundamental lemma of Jacquet and Rallis","year":2011,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":41,"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; Lemma (botany); Algebra over a field; Pure mathematics","score_opus":0.07564956605298176,"score_gpt":0.3060216178363051,"score_spread":0.23037205178332334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101050935","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1641545,0.0025382603,0.48178843,0.0153430095,0.0032509149,0.00017591196,0.00051487196,0.0007702092,0.33146384],"genre_scores_gemma":[0.9015646,0.0015430304,0.05392726,0.0027912762,0.0018744594,0.00016026436,0.00025191324,0.00036625835,0.0375209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927074,0.00012414379,0.00003462198,0.00014949827,0.00026922344,0.00015179823],"domain_scores_gemma":[0.9985738,0.0004202458,0.00013566684,0.0002326574,0.00044391185,0.00019375325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017667977,0.0004791997,0.0007755225,0.0016364837,0.0018229056,0.0020166747,0.001250923,0.0015917623,0.009837851],"category_scores_gemma":[0.0061718985,0.0002831808,0.0011899276,0.0012264929,0.0038625102,0.0076387716,0.0036827386,0.003376619,0.0017774345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005125244,0.0000061904248,0.000057215966,0.00001857435,0.0000033117014,0.00003804745,0.00012702467,0.00012797554,0.0005191909,0.9955043,0.0013290399,0.0022639176],"study_design_scores_gemma":[0.000010092586,0.000020646014,0.00014674779,0.000010992929,0.000005724875,0.0001447514,0.00004910136,0.001570397,0.0008892732,0.98917234,0.0079704095,0.000009476876],"about_ca_topic_score_codex":0.0008463585,"about_ca_topic_score_gemma":0.00047711446,"teacher_disagreement_score":0.009837851,"about_ca_system_score_codex":0.0010534228,"about_ca_system_score_gemma":0.0010123551,"threshold_uncertainty_score":0.032910824},"labels":[],"label_agreement":null},{"id":"W3101379558","doi":"","title":"Moment determinants as isomonodromic tau functions","year":2013,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"","keywords":"Toeplitz matrix; Mathematics; Ramanujan tau function; Orthogonality; Random matrix; Partition (number theory); Orthogonal polynomials; Pure mathematics; Class (philosophy); Semiclassical physics; Matrix (chemical analysis); Moment (physics); Ramanujan's sum; Combinatorics; Eigenvalues and eigenvectors","score_opus":0.024184805751269044,"score_gpt":0.3057164860631436,"score_spread":0.2815316803118746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101379558","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74986523,0.0015537811,0.16423704,0.0025288395,0.0003660091,0.00003148317,0.00031003202,0.00043259113,0.08067499],"genre_scores_gemma":[0.9816834,0.00042408166,0.0059468895,0.00012019921,0.00015613699,0.000016195076,0.0000839928,0.00008118873,0.011487908],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965286,0.00007637431,0.000008988864,0.00005330667,0.000114192444,0.00009437842],"domain_scores_gemma":[0.9991572,0.00023687276,0.00013806051,0.00008692358,0.00020334573,0.00017760944],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057750085,0.0004308262,0.000426867,0.0015372568,0.0007852277,0.002291533,0.0004939792,0.00057473197,0.0049126544],"category_scores_gemma":[0.0020406642,0.00023373123,0.0004745518,0.0006564995,0.0015994689,0.0014077177,0.00060243654,0.00093509845,0.0005489753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013863476,0.000011854137,0.0002928874,0.00001527244,0.0000042047545,0.00008000173,0.00009624482,0.0014388808,0.0013295972,0.9931607,0.0008972564,0.0026591513],"study_design_scores_gemma":[0.000012444813,0.00002463514,0.0013416387,0.000022062377,0.000007702528,0.00028073468,0.00007349394,0.037379075,0.0022760683,0.95481575,0.0037382701,0.0000283145],"about_ca_topic_score_codex":0.0032878798,"about_ca_topic_score_gemma":0.002226981,"teacher_disagreement_score":0.0049126544,"about_ca_system_score_codex":0.0013487181,"about_ca_system_score_gemma":0.0008098454,"threshold_uncertainty_score":0.016434431},"labels":[],"label_agreement":null},{"id":"W3102270312","doi":"","title":"Integrability of oscillatory functions on local fields: Transfer principles","year":2014,"lang":"en","type":"article","venue":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","topic":"Advanced Algebra and Geometry","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":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; Vlaamse regering; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Local field; Pure mathematics; Isomorphism (crystallography); Local symmetry; Mathematical proof; Exponential function; Residue field; Field (mathematics); Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.07497889904209618,"score_gpt":0.2827095726225659,"score_spread":0.20773067358046973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102270312","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5829702,0.0005686372,0.31977132,0.0012463612,0.00011574864,0.00006576085,0.000076030585,0.00031917752,0.09486675],"genre_scores_gemma":[0.9782165,0.00026989615,0.009991789,0.00019209416,0.00015355667,0.00004301421,0.000038841798,0.00011985769,0.010974452],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994018,0.00010706574,0.000026324837,0.00011473964,0.0002233999,0.00012665358],"domain_scores_gemma":[0.9984713,0.00064588565,0.00019158043,0.00024392134,0.00019330632,0.00025389192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014054439,0.0005900889,0.0005872087,0.001896234,0.0011234799,0.0023309994,0.00080140174,0.00095400336,0.004862371],"category_scores_gemma":[0.003936643,0.00029521342,0.0009914591,0.0005825937,0.004587488,0.005786506,0.0035425592,0.0030783447,0.00049912784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013467555,0.00002733566,0.0004070557,0.000023736002,0.0000055706564,0.00016346024,0.00031079503,0.00082182745,0.0015946826,0.9924811,0.00021807392,0.00393287],"study_design_scores_gemma":[0.00001355019,0.00003409348,0.00046211891,0.000018297405,0.000008036807,0.00032927466,0.00015166096,0.008111547,0.0014239833,0.98835087,0.001085407,0.000011251632],"about_ca_topic_score_codex":0.0002594025,"about_ca_topic_score_gemma":0.00015878695,"teacher_disagreement_score":0.004862371,"about_ca_system_score_codex":0.00089441583,"about_ca_system_score_gemma":0.00032740788,"threshold_uncertainty_score":0.016266227},"labels":[],"label_agreement":null},{"id":"W3103002762","doi":"","title":"0 ON THE COMPUTABILITY OF SOME POSITIVE-DEPTH SUPERCUSPIDAL CHARACTERS NEAR THE IDENTITY","year":2013,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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 Calgary; University of British Columbia","funders":"","keywords":"Mathematics; Pure mathematics; Character (mathematics); Identity (music); Parameterized complexity; Neighbourhood (mathematics); Field (mathematics); Combinatorics; Mathematical analysis; Geometry","score_opus":0.02702119914833702,"score_gpt":0.2896136220216309,"score_spread":0.2625924228732939,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103002762","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9410626,0.00013694834,0.04743429,0.00041405248,0.000020778578,0.000033007847,0.0001932897,0.0002767612,0.010428262],"genre_scores_gemma":[0.9927557,0.000038334078,0.005874286,0.000026106467,0.000021334195,0.00001583768,0.000103903934,0.00004151307,0.0011230351],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981633,0.0003677646,0.0001007772,0.00063374906,0.00043323552,0.00030125017],"domain_scores_gemma":[0.9932666,0.0045408313,0.0005134855,0.0009774761,0.00029914116,0.00040254652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016190128,0.00032187538,0.0007604075,0.0011677281,0.0011749426,0.0038158263,0.0012329674,0.00075962103,0.0038119617],"category_scores_gemma":[0.011882243,0.00031340364,0.0009058059,0.0010474644,0.00410726,0.008288243,0.0026290244,0.0021128764,0.0003731492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043644547,0.00008371964,0.009208617,0.00017631704,0.000044823006,0.00036630046,0.0018769309,0.016124,0.0055538905,0.94761735,0.0007146836,0.017796848],"study_design_scores_gemma":[0.000049891623,0.00008610114,0.002160799,0.00004509362,0.000051221352,0.00039095586,0.00034955953,0.058767743,0.01019287,0.92516947,0.0026857709,0.000050518258],"about_ca_topic_score_codex":0.0007446006,"about_ca_topic_score_gemma":0.00040439898,"teacher_disagreement_score":0.0038158263,"about_ca_system_score_codex":0.0018032101,"about_ca_system_score_gemma":0.0006557385,"threshold_uncertainty_score":0.0130832195},"labels":[],"label_agreement":null},{"id":"W3105775542","doi":"10.25537/dm.2020v25.2487-2506","title":"Monodromy for Some Rank Two Galois Representations over CM Fields","year":2019,"lang":"en","type":"article","venue":"FIZ-Karlsruhe (eLiBM)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Galois module; Monodromy; Automorphic form; Pure mathematics; Galois group; Embedding problem; Rank (graph theory); Dirichlet distribution; Compatibility (geochemistry); Algebraic number field; Algebraic number; Combinatorics; Mathematical analysis","score_opus":0.03298512463476211,"score_gpt":0.3514762910318564,"score_spread":0.3184911663970943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3105775542","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96044135,0.00009101317,0.021001069,0.0003434706,0.000051323666,0.000028796918,0.000046799818,0.00011998887,0.017876193],"genre_scores_gemma":[0.9921083,0.000045838202,0.0028958954,0.00004490367,0.0000422702,0.000017571301,0.000041243784,0.000031267646,0.00477286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965227,0.000056499197,0.00001506965,0.00007653985,0.00008356405,0.00011612235],"domain_scores_gemma":[0.99948263,0.00012212536,0.00009524475,0.000061639075,0.00005374943,0.00018464752],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000609598,0.00061167456,0.0003810915,0.0011985052,0.0015938386,0.0017644747,0.0005260206,0.0008261915,0.0048770863],"category_scores_gemma":[0.0014701127,0.0002831743,0.0006451009,0.0004136596,0.0020949906,0.002213914,0.0018583083,0.0014303474,0.0005826578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017680855,0.00010504702,0.0021697378,0.000048748083,0.000011724661,0.0007276093,0.0012105872,0.0014294571,0.011401322,0.9760434,0.00054717675,0.006128423],"study_design_scores_gemma":[0.00015698615,0.00033175986,0.0034812412,0.000055449033,0.000035363868,0.0012098455,0.0015406014,0.039098203,0.016258126,0.9326029,0.00514886,0.00008080599],"about_ca_topic_score_codex":0.000787622,"about_ca_topic_score_gemma":0.0004065314,"teacher_disagreement_score":0.0048770863,"about_ca_system_score_codex":0.0010316186,"about_ca_system_score_gemma":0.00042949006,"threshold_uncertainty_score":0.01631552},"labels":[],"label_agreement":null},{"id":"W3105875826","doi":"","title":"VERTEX OPERATORS AND THE GEOMETRY OF MODULI SPACES OF FRAMED TORSION-FREE SHEAVES","year":2010,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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","funders":"","keywords":"Mathematics; Pure mathematics; Moduli space; Equivariant cohomology; Moduli; Cohomology; Torsion (gastropod); Vertex (graph theory); Moduli of algebraic curves; Vector bundle; Algebra over a field; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.009374226937500788,"score_gpt":0.2677465593256342,"score_spread":0.2583723323881334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3105875826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96776205,0.0003651017,0.017916381,0.00028491425,0.00006264874,0.00001738477,0.000058413818,0.00008032153,0.013452865],"genre_scores_gemma":[0.99559045,0.00010603057,0.0015714924,0.000031948934,0.00003602843,0.000011912399,0.000036756308,0.000017237588,0.0025980766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995086,0.00010299772,0.000022474092,0.000083249484,0.00015396984,0.00012871694],"domain_scores_gemma":[0.9995005,0.00010400317,0.000101928264,0.000035251447,0.00007369558,0.000184623],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006266754,0.00064037374,0.00040762225,0.0027168621,0.0011454168,0.003038423,0.0007413861,0.0008452986,0.0038146789],"category_scores_gemma":[0.0013126808,0.00031398534,0.00034140813,0.0009112417,0.0026325828,0.003595618,0.0016844462,0.0008133391,0.00027979343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050687428,0.000037285525,0.0010964602,0.000019658757,0.000009462585,0.0003488525,0.00062794704,0.0012132738,0.004475277,0.9886946,0.00030807653,0.0031184023],"study_design_scores_gemma":[0.000048580427,0.00009403624,0.002493632,0.000033344957,0.000024297338,0.0008017163,0.0007618832,0.019266186,0.004769772,0.96902376,0.0026417787,0.00004108053],"about_ca_topic_score_codex":0.000646106,"about_ca_topic_score_gemma":0.00046873093,"teacher_disagreement_score":0.0038146789,"about_ca_system_score_codex":0.001117831,"about_ca_system_score_gemma":0.00035912447,"threshold_uncertainty_score":0.012761354},"labels":[],"label_agreement":null},{"id":"W3106094149","doi":"10.1112/s0010437x1600779x","title":"Height pairings on orthogonal Shimura varieties","year":2017,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Shimura variety; Complex multiplication; Pure mathematics; Cusp form; Cusp (singularity); Conjecture; Spinor; Holomorphic function; Signature (topology); Orthogonal group; Eisenstein series; Symmetric space; Rank (graph theory); Variety (cybernetics); Combinatorics; Elliptic curve; Modular form; Geometry","score_opus":0.07368856345017412,"score_gpt":0.3588506388011414,"score_spread":0.28516207535096727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106094149","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9395084,0.00031367096,0.018429035,0.0004437038,0.00013828406,0.00003062302,0.00008542156,0.00015955654,0.04089141],"genre_scores_gemma":[0.987983,0.00016540565,0.0029751405,0.00006800707,0.00015436967,0.000022203076,0.00006727608,0.000023931676,0.008540605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951243,0.00007606898,0.000025001273,0.000086432214,0.00013391749,0.00016609796],"domain_scores_gemma":[0.99939394,0.00012683474,0.000113219256,0.000052578736,0.000052752315,0.0002606653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005857456,0.00045905114,0.00043995303,0.0024425965,0.0017861198,0.0024441388,0.00041976292,0.00060504896,0.0061973645],"category_scores_gemma":[0.001495293,0.0003478382,0.00043697728,0.00097374734,0.0027183236,0.0031329917,0.002941937,0.0010965462,0.000689418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045933575,0.00002034858,0.00081843924,0.0000137781535,0.0000032508394,0.00010738345,0.00038186772,0.00062721607,0.0011326508,0.9912083,0.00040895253,0.005231895],"study_design_scores_gemma":[0.0000370403,0.000092944174,0.0025951115,0.000024429854,0.000012229292,0.00029340535,0.000483594,0.006019957,0.0022753254,0.98270446,0.0054297056,0.000031837353],"about_ca_topic_score_codex":0.00052792556,"about_ca_topic_score_gemma":0.0003961979,"teacher_disagreement_score":0.0061973645,"about_ca_system_score_codex":0.0010976074,"about_ca_system_score_gemma":0.00040066472,"threshold_uncertainty_score":0.020732224},"labels":[],"label_agreement":null},{"id":"W3111847812","doi":"10.1007/s40687-021-00302-2","title":"Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations","year":2022,"lang":"en","type":"article","venue":"Research in the Mathematical Sciences","topic":"Advanced Algebra and Geometry","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":"Deutsche Forschungsgemeinschaft; Universität Duisburg-Essen; Centre de Recherches Mathématiques; McGill University","keywords":"Invertible matrix; Mathematics; Pure mathematics; Modulo; Group (periodic table); Hilbert space; Representation (politics); Algebra over a field; Discrete mathematics","score_opus":0.2526469323457284,"score_gpt":0.4569862296254101,"score_spread":0.2043392972796817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3111847812","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9195343,0.00021509941,0.0356365,0.0006194068,0.0000925604,0.000029788433,0.000059199854,0.000133107,0.04368008],"genre_scores_gemma":[0.9902532,0.0000985313,0.0029819924,0.00007067893,0.000069562586,0.000017704362,0.000040725023,0.000020615618,0.0064470745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992136,0.00011989737,0.00003413557,0.00014644225,0.00022956399,0.0002563058],"domain_scores_gemma":[0.99926335,0.00011422766,0.0001439934,0.000116458825,0.000097388736,0.00026454148],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080995774,0.0004883957,0.0005242427,0.0016728131,0.0009660274,0.0018763043,0.00062950957,0.00064835843,0.0052597346],"category_scores_gemma":[0.001633883,0.00023469415,0.0006887482,0.0005253211,0.003377991,0.0032414028,0.0028331804,0.0016022689,0.00044002116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023086284,0.00002306705,0.00018151842,0.000009401506,0.0000033216756,0.00011343999,0.00036013956,0.00045608758,0.001464871,0.99493706,0.00014289892,0.0022852381],"study_design_scores_gemma":[0.000030820967,0.000071605566,0.00062532903,0.0000162809,0.0000064052374,0.00020243644,0.00039149917,0.0050094356,0.0023619938,0.9879148,0.0033455302,0.00002382205],"about_ca_topic_score_codex":0.00087227736,"about_ca_topic_score_gemma":0.0004474178,"teacher_disagreement_score":0.0052597346,"about_ca_system_score_codex":0.0010273433,"about_ca_system_score_gemma":0.00045216002,"threshold_uncertainty_score":0.01759553},"labels":[],"label_agreement":null},{"id":"W3112469728","doi":"10.1515/forum-2020-0201","title":"Quantum modularity of partial theta series with periodic coefficients","year":2021,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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":"Austrian Science Fund; Ireland Canada University Foundation; Technische Universität Darmstadt; McMaster University","keywords":"Series (stratigraphy); Torus; Modularity (biology); Mathematics; Root of unity; Modular form; Quantum; Pure mathematics; Polynomial; Combinatorics; Discrete mathematics; Physics; Quantum mechanics; Mathematical analysis; Geometry","score_opus":0.029734265673982237,"score_gpt":0.29284582001769655,"score_spread":0.2631115543437143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112469728","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83658075,0.0003003782,0.0719085,0.0012715624,0.0002979386,0.00003790457,0.0001118395,0.0003199826,0.08917104],"genre_scores_gemma":[0.9918224,0.000092902366,0.0026837045,0.000070628885,0.00011229711,0.000014008981,0.000028641949,0.000044820572,0.0051305415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994574,0.00010317904,0.000020242716,0.00008478547,0.00019719193,0.00013712583],"domain_scores_gemma":[0.9992669,0.00018146848,0.00012332627,0.00011470359,0.00014397346,0.00016955617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008588012,0.00046525564,0.0004598969,0.0011569175,0.0010334098,0.0014464277,0.00064284203,0.0005321879,0.008018849],"category_scores_gemma":[0.0028517249,0.0002806088,0.0005956196,0.0005736399,0.0028884944,0.002632753,0.0016064133,0.0010534864,0.0007004217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027119579,0.000012022975,0.00029790157,0.000020632117,0.000005576048,0.000107375046,0.00011362609,0.0011392465,0.0014904215,0.99367094,0.00065475656,0.0024605037],"study_design_scores_gemma":[0.000026551688,0.00004468583,0.0006620868,0.000017537583,0.000011070185,0.00027210123,0.00011826477,0.015868831,0.0018834075,0.9781251,0.0029534576,0.000016931239],"about_ca_topic_score_codex":0.0007861861,"about_ca_topic_score_gemma":0.0005575901,"teacher_disagreement_score":0.008018849,"about_ca_system_score_codex":0.0011385351,"about_ca_system_score_gemma":0.0004787393,"threshold_uncertainty_score":0.026825726},"labels":[],"label_agreement":null},{"id":"W3113130384","doi":"","title":"Traces of powers of matrices over finite fields","year":2021,"lang":"en","type":"article","venue":"Oxford University Research Archive (ORA) (University of Oxford)","topic":"Advanced Algebra and Geometry","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":"Queen's University","funders":"European Research Council","keywords":"Mathematics; Finite field; Unitary matrix; Combinatorics; Haar measure; Polynomial; Prime power; Prime (order theory); Random matrix; Rate of convergence; Classical group; Matrix (chemical analysis); Unitary group; Distribution (mathematics); Symplectic geometry; Discrete mathematics; Function field; Field (mathematics); Unitary state; Eigenvalues and eigenvectors; Pure mathematics; Mathematical analysis; Lie group","score_opus":0.0351646298808686,"score_gpt":0.2940183657016194,"score_spread":0.2588537358207508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3113130384","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6432148,0.00088053255,0.3325823,0.0011686953,0.00012534414,0.0001386843,0.0003607877,0.00052976125,0.020998962],"genre_scores_gemma":[0.97628844,0.00050237164,0.013029591,0.00009287191,0.00017149482,0.000097127806,0.00016577142,0.00012303622,0.0095293205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974235,0.0006708071,0.0001148486,0.00045510876,0.0008519677,0.0004837816],"domain_scores_gemma":[0.98297185,0.009612411,0.0022830933,0.0021864125,0.0015075812,0.0014385988],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032119497,0.0006807035,0.00082888437,0.0023808065,0.0009544584,0.0027791127,0.0015390752,0.0008469655,0.0052647614],"category_scores_gemma":[0.033308484,0.0007539913,0.0007377821,0.0011872873,0.004541869,0.0066365846,0.002247103,0.0016903083,0.0008160613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014330306,0.000043008098,0.0018546802,0.000072363,0.000018677314,0.00038520957,0.00054809893,0.014416631,0.003813084,0.9701469,0.00071631785,0.00784172],"study_design_scores_gemma":[0.00005489065,0.00012622302,0.0011219819,0.000050547867,0.000013909694,0.00043232815,0.00014402864,0.16117397,0.004125831,0.8303314,0.002382899,0.0000420288],"about_ca_topic_score_codex":0.0016086738,"about_ca_topic_score_gemma":0.0007747115,"teacher_disagreement_score":0.0052647614,"about_ca_system_score_codex":0.0022194996,"about_ca_system_score_gemma":0.0010760126,"threshold_uncertainty_score":0.017612398},"labels":[],"label_agreement":null},{"id":"W3119795927","doi":"10.1112/jlms.12428","title":"On the $\\mathcal L$-invariant of the adjoint of a weight one modular form","year":2019,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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 British Columbia; McGill University","funders":"European Research Council; Universitat Politècnica de Catalunya","keywords":"Library science; History; Humanities; Mathematics; Computer science; Art","score_opus":0.06365888086322281,"score_gpt":0.18094544236761956,"score_spread":0.11728656150439674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119795927","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91720074,0.00020197559,0.034035247,0.00078873517,0.00019946854,0.000017488994,0.000036404817,0.00013233864,0.04738768],"genre_scores_gemma":[0.9912675,0.00009290291,0.003428096,0.00017903169,0.00016885439,0.000014637069,0.00003093324,0.000048596678,0.0047695045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952173,0.00008999525,0.000011425333,0.0001241424,0.00013304685,0.000119588956],"domain_scores_gemma":[0.99938965,0.00014042105,0.00013572616,0.000055797813,0.000087831024,0.0001905669],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077096105,0.00049532723,0.00047752625,0.0013951495,0.0013521378,0.0016825598,0.0006587129,0.0006567135,0.002607909],"category_scores_gemma":[0.0017217237,0.00018550323,0.0005543338,0.00043863562,0.0054929014,0.0026385665,0.0019702879,0.0019055749,0.00034528133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036828125,0.000028415234,0.0002996641,0.000019031802,0.000003331556,0.00011448577,0.00027759126,0.00045917413,0.004257739,0.99135625,0.00020846257,0.0029390045],"study_design_scores_gemma":[0.000038636685,0.0001774439,0.001701887,0.000023198103,0.000012830098,0.00037008678,0.00026957286,0.011826644,0.0052449666,0.9781327,0.0021592707,0.00004270476],"about_ca_topic_score_codex":0.00074108806,"about_ca_topic_score_gemma":0.00045015826,"teacher_disagreement_score":0.002607909,"about_ca_system_score_codex":0.0009921092,"about_ca_system_score_gemma":0.00061927387,"threshold_uncertainty_score":0.008724332},"labels":[],"label_agreement":null},{"id":"W3120255708","doi":"10.1093/imrn/rnac051","title":"Transfer of Characters for Discrete Series Representations of the Unitary Groups in the Equal Rank Case via the Cauchy–Harish-Chandra integral","year":2022,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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; Unitary state; Rank (graph theory); Series (stratigraphy); Cauchy distribution; Conjecture; Transfer (computing); Pure mathematics; Combinatorics; Unitary representation; Dual pair; Representation (politics); Mathematical analysis; Lie group; Computer science; Functional analysis; Law","score_opus":0.15530988586799996,"score_gpt":0.45191322934809713,"score_spread":0.2966033434800972,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3120255708","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8415861,0.00022127588,0.06497371,0.0013056417,0.00022214447,0.000052202864,0.000049459988,0.00022597761,0.09136342],"genre_scores_gemma":[0.9862708,0.00008675954,0.004968156,0.00014845561,0.0001402823,0.000020549793,0.000027046373,0.00006165123,0.008276328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992749,0.00018335496,0.000027098664,0.00013637693,0.00020408758,0.00017424452],"domain_scores_gemma":[0.999209,0.00023014867,0.00011766777,0.0001324388,0.00008026686,0.00023054406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008930167,0.00040662623,0.0006106974,0.0015149594,0.0020771588,0.0026825976,0.00077227474,0.0013145674,0.006815322],"category_scores_gemma":[0.0035924334,0.00026853225,0.0007814387,0.0006711397,0.0040153414,0.004602727,0.002465601,0.0023973065,0.0006840194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023605493,0.000030951876,0.00009012558,0.000008095066,0.000001974627,0.00012998657,0.00025160736,0.00034022445,0.0011132808,0.99597293,0.00017327783,0.001863838],"study_design_scores_gemma":[0.000020902715,0.000037320307,0.0001703584,0.000010429558,0.000003979189,0.00021056103,0.00015291844,0.007605628,0.001437855,0.98920923,0.0011276627,0.00001316962],"about_ca_topic_score_codex":0.00037334865,"about_ca_topic_score_gemma":0.00019465068,"teacher_disagreement_score":0.006815322,"about_ca_system_score_codex":0.0011038223,"about_ca_system_score_gemma":0.0004503832,"threshold_uncertainty_score":0.022799492},"labels":[],"label_agreement":null},{"id":"W3126964182","doi":"10.1093/qmath/haaa070","title":"Flat Connections and the Commutator Map for SU(2)","year":2020,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Ministry of Science and Technology, Taiwan","keywords":"Holonomy; Commutator; Topology (electrical circuits); Boundary (topology); Variety (cybernetics); Generator (circuit theory); Center (category theory); Representation (politics); Pure mathematics; Mathematics; Genus; Surface (topology); Component (thermodynamics); Algebra over a field; Geometry; Mathematical analysis; Combinatorics; Physics; Power (physics); Crystallography; Quantum mechanics","score_opus":0.04231648645741811,"score_gpt":0.30499099636181476,"score_spread":0.26267450990439667,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3126964182","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9734259,0.00023522321,0.0056216056,0.00024690447,0.000065415756,0.000009474904,0.000039177034,0.00006354986,0.020292714],"genre_scores_gemma":[0.99569404,0.00009130014,0.00071812375,0.000034052435,0.000037959588,0.000005588914,0.000032910488,0.000015756432,0.0033702927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997739,0.000056132412,0.000009935702,0.000048395348,0.000057431887,0.000054246033],"domain_scores_gemma":[0.9996731,0.00008027283,0.00006629235,0.00003381445,0.00004410484,0.00010246021],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035022368,0.00034553887,0.00035600972,0.0015629067,0.0012357127,0.001872396,0.00041397088,0.00064379943,0.005078895],"category_scores_gemma":[0.0007876025,0.00019006486,0.00025383456,0.00068184105,0.0015138973,0.0021226953,0.00090980687,0.0004290336,0.0003505049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000683674,0.00003258683,0.0009998569,0.00002343022,0.000006543555,0.0007766657,0.00057202234,0.0015970651,0.0037477775,0.9887173,0.0004940953,0.0029644065],"study_design_scores_gemma":[0.000036409252,0.00008982598,0.0028239526,0.00001563528,0.000008971036,0.00047990071,0.0003891144,0.014097656,0.001094618,0.97810864,0.0028315613,0.000023757926],"about_ca_topic_score_codex":0.0008940162,"about_ca_topic_score_gemma":0.000793835,"teacher_disagreement_score":0.005078895,"about_ca_system_score_codex":0.0005405683,"about_ca_system_score_gemma":0.00021739742,"threshold_uncertainty_score":0.016990542},"labels":[],"label_agreement":null},{"id":"W3127216836","doi":"10.1007/s00031-020-09637-6","title":"On the splitting principle for cohomoligical invariants of reflection groups","year":2022,"lang":"en","type":"article","venue":"University of Groningen research database (University of Groningen / Centre for Information Technology)","topic":"Advanced Algebra and Geometry","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; Subring; Pure mathematics; Bilinear form; Reflection group; Polynomial ring; Group (periodic table); Field (mathematics); Polynomial; Algebra over a field; Ring (chemistry); Mathematical analysis; Weyl group","score_opus":0.06996998916610356,"score_gpt":0.3209718934423978,"score_spread":0.2510019042762942,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3127216836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76029253,0.0009951243,0.12240236,0.002573826,0.00020787744,0.000101486694,0.000248597,0.00027915218,0.112899095],"genre_scores_gemma":[0.9842078,0.00028711773,0.008979192,0.00024107237,0.00016224007,0.000038270715,0.00018335762,0.000057899866,0.0058429525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990132,0.00020549874,0.000052625914,0.00022039878,0.00026611701,0.0002420658],"domain_scores_gemma":[0.99793303,0.00092085724,0.00020381101,0.0003060526,0.0003138077,0.0003224957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031650264,0.0005358127,0.0008077479,0.002004596,0.0014910635,0.00203415,0.000881515,0.0009928585,0.005335532],"category_scores_gemma":[0.0035023133,0.00047045987,0.001110322,0.0007955366,0.005786059,0.005505122,0.0036833405,0.0026662392,0.0009468957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052339037,0.00005120243,0.0013077363,0.000041868472,0.000014511104,0.00022073313,0.0006752955,0.00046115075,0.0024864941,0.9878456,0.0007579937,0.0060850917],"study_design_scores_gemma":[0.000033188124,0.00008158172,0.0015455475,0.000021332013,0.000011516365,0.000342819,0.00030918795,0.0032369723,0.0017749778,0.99041873,0.0022077307,0.000016400993],"about_ca_topic_score_codex":0.00043141207,"about_ca_topic_score_gemma":0.00035930032,"teacher_disagreement_score":0.005335532,"about_ca_system_score_codex":0.0008792903,"about_ca_system_score_gemma":0.00044057643,"threshold_uncertainty_score":0.017849147},"labels":[],"label_agreement":null},{"id":"W3131151372","doi":"10.1088/1361-6544/ad1a49","title":"Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure","year":2024,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Algebra and Geometry","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; Concordia University","funders":"H2020 Marie Skłodowska-Curie Actions; Fundação para a Ciência e a Tecnologia; Fonds De La Recherche Scientifique - FNRS; National Science Foundation","keywords":"Mathematics; Symplectic geometry; Higgs boson; Abelian group; Cauchy distribution; Pure mathematics; Mathematical analysis; Particle physics; Physics","score_opus":0.01637066655787268,"score_gpt":0.3101933303553732,"score_spread":0.29382266379750055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3131151372","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97883284,0.00014811299,0.0056446022,0.00031816115,0.000032311676,0.000009254131,0.00002176718,0.000040210765,0.014952714],"genre_scores_gemma":[0.99587786,0.0000585353,0.0006520237,0.000022272226,0.000018706616,0.000003303744,0.000019426941,0.00000881269,0.0033389074],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998733,0.000025270601,0.0000063401153,0.000021218315,0.000035102326,0.000038885686],"domain_scores_gemma":[0.9998062,0.00002806595,0.000041402152,0.000024377634,0.000025028734,0.00007496869],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003032696,0.0003917948,0.00035645746,0.0009700661,0.00077149534,0.0012516249,0.00031997357,0.0005426099,0.0031296678],"category_scores_gemma":[0.00051553297,0.00016698857,0.00030843096,0.0003468974,0.001915694,0.0020133003,0.0009897683,0.00055698666,0.00028279712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005480669,0.000048905793,0.0010602856,0.0000243543,0.000008216579,0.00060225214,0.00038847327,0.0017047065,0.003771739,0.9892386,0.0004143875,0.0026832342],"study_design_scores_gemma":[0.00005265367,0.000092182614,0.00403428,0.000031796753,0.000014711977,0.0007530823,0.0005734037,0.031009628,0.0043068626,0.95655704,0.0025440461,0.000030363428],"about_ca_topic_score_codex":0.0010682055,"about_ca_topic_score_gemma":0.00079844234,"teacher_disagreement_score":0.0031296678,"about_ca_system_score_codex":0.0008642795,"about_ca_system_score_gemma":0.00039078953,"threshold_uncertainty_score":0.010469735},"labels":[],"label_agreement":null},{"id":"W3142916720","doi":"","title":"A uniform structure on subgroups of GLn(double-struck Fq) and its application to a conditional construction of Artin representations of GLn","year":2017,"lang":"en","type":"article","venue":"Journal of the Ramanujan Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Mathematics; Pure mathematics; Combinatorics","score_opus":0.02677290343688587,"score_gpt":0.334945211737755,"score_spread":0.3081723083008691,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3142916720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60878396,0.0005525046,0.3228094,0.0016051535,0.0006218893,0.00007992641,0.00021260542,0.0008138166,0.06452078],"genre_scores_gemma":[0.9647015,0.00020470479,0.025171798,0.00023897724,0.00027643176,0.000041250296,0.000126004,0.0001378509,0.009101502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940526,0.00016415764,0.000037050384,0.00013656131,0.00011113966,0.00014584533],"domain_scores_gemma":[0.9989004,0.0003487028,0.00013738612,0.00017658838,0.00011077705,0.00032608252],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014293398,0.000806011,0.00067582325,0.0022990261,0.0022172704,0.0022408532,0.0012436842,0.0011036646,0.006573058],"category_scores_gemma":[0.0027091354,0.00044004002,0.0012496308,0.0013325397,0.004223185,0.003895874,0.0037342063,0.0019700928,0.0004835365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002861329,0.000017667859,0.00020943389,0.000013439894,0.0000026814678,0.0001007555,0.00024130808,0.00048656447,0.0011746563,0.9946977,0.00023803188,0.0027891113],"study_design_scores_gemma":[0.000024025281,0.000083980034,0.00073923124,0.000019185303,0.000012971276,0.00022571656,0.00019276497,0.011375381,0.0022443833,0.98278564,0.0022666603,0.000030003006],"about_ca_topic_score_codex":0.0012081262,"about_ca_topic_score_gemma":0.0011805575,"teacher_disagreement_score":0.006573058,"about_ca_system_score_codex":0.001320262,"about_ca_system_score_gemma":0.0005282014,"threshold_uncertainty_score":0.021989048},"labels":[],"label_agreement":null},{"id":"W3147307294","doi":"10.1080/00927872.2023.2189961","title":"Restricting admissible representations to fixed-point subgroups","year":2023,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Fixed point; Equivalence (formal languages); Group (periodic table); Pure mathematics; Representation (politics); Induced representation; Point (geometry); Combinatorics; Irreducible representation; Discrete mathematics; Mathematical analysis","score_opus":0.1287025259532183,"score_gpt":0.4247082153454999,"score_spread":0.2960056893922816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3147307294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56748754,0.00039279964,0.31661063,0.0012749718,0.00031079896,0.00014389856,0.00027810983,0.00048460194,0.1130166],"genre_scores_gemma":[0.96213084,0.00040145474,0.02471175,0.00022456411,0.0002162646,0.000119556295,0.00029028158,0.00015446155,0.011750799],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984774,0.00033640716,0.00012259104,0.00032254853,0.00034309484,0.0003979875],"domain_scores_gemma":[0.9980077,0.000527277,0.00023917177,0.0006998331,0.00023170093,0.00029434907],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015266045,0.00069523044,0.00058267114,0.0024615102,0.0019529103,0.0043676374,0.0014023228,0.0015010415,0.004498382],"category_scores_gemma":[0.004140105,0.00051579095,0.0014401425,0.0016771691,0.0049939346,0.0070313974,0.0043234993,0.003476007,0.0006844381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001171973,0.000009287033,0.00022453348,0.000009210948,0.0000028410418,0.000063682346,0.00057327806,0.00034017224,0.0007724333,0.99552,0.00017468,0.0022981388],"study_design_scores_gemma":[0.000013126037,0.00001790602,0.00016879058,0.00001966903,0.000007648672,0.00013540397,0.00041629674,0.0021574267,0.0014791184,0.9911122,0.0044584307,0.000014011878],"about_ca_topic_score_codex":0.00082699885,"about_ca_topic_score_gemma":0.00073278544,"teacher_disagreement_score":0.004498382,"about_ca_system_score_codex":0.0013615063,"about_ca_system_score_gemma":0.00056692114,"threshold_uncertainty_score":0.015048623},"labels":[],"label_agreement":null},{"id":"W3150199667","doi":"10.1088/1751-8121/abf45b","title":"Vector partition functions and Kronecker coefficients","year":2021,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Advanced Algebra and Geometry","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":"Simon Fraser University","funders":"Nuclear Physics; Division of Mathematical Sciences; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Kronecker delta; Kronecker product; Partition (number theory); Function (biology); Vector space; Partition function (quantum field theory)","score_opus":0.017712017781767946,"score_gpt":0.28427785452325055,"score_spread":0.2665658367414826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3150199667","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6440579,0.001929062,0.2569384,0.0009200669,0.000480059,0.000053329633,0.0002593952,0.0002369946,0.095124714],"genre_scores_gemma":[0.98161006,0.0006063604,0.0077225138,0.000092039496,0.0001433679,0.000037132704,0.00008810614,0.00007167188,0.009628704],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995117,0.00013514674,0.000020516107,0.000051097246,0.00017052912,0.00011101421],"domain_scores_gemma":[0.9986577,0.0005611077,0.00015314185,0.00018923882,0.0003120583,0.00012677045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009520606,0.00044804646,0.00040979747,0.0018857277,0.0005889929,0.0019584266,0.0006859913,0.00043743924,0.0053770263],"category_scores_gemma":[0.0035223474,0.00018060983,0.00023349132,0.0008559977,0.0020996192,0.0027003326,0.00077985454,0.0011019119,0.00078104634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008330581,0.000008566373,0.00013666322,0.000016136551,0.0000016968303,0.000028439863,0.000048966915,0.0014508993,0.0006119271,0.99512947,0.00036639007,0.002192562],"study_design_scores_gemma":[0.0000069501543,0.000017062124,0.0004101949,0.000037022255,0.000003693238,0.00012134452,0.00007527436,0.02268291,0.0012589523,0.97248274,0.002885991,0.000017761406],"about_ca_topic_score_codex":0.0006056239,"about_ca_topic_score_gemma":0.00055919745,"teacher_disagreement_score":0.0053770263,"about_ca_system_score_codex":0.000599611,"about_ca_system_score_gemma":0.0004763585,"threshold_uncertainty_score":0.017987967},"labels":[],"label_agreement":null},{"id":"W3154046011","doi":"10.4310/mrl.2021.v28.n1.a7","title":"The doubling archimedean zeta integrals for $p$-adic interpolation","year":2021,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Euler's formula; Pure mathematics; Modular design; Mathematical analysis; Algebra over a field; Classical mechanics; Motion (physics); Physics","score_opus":0.21646362502721503,"score_gpt":0.47723487083063026,"score_spread":0.26077124580341526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3154046011","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81795037,0.00063839136,0.10851686,0.00062325737,0.00022956221,0.000053029864,0.00015928385,0.00029886764,0.07153041],"genre_scores_gemma":[0.97606224,0.0004265895,0.013413529,0.000069538284,0.00010854359,0.0000323491,0.00011258044,0.00007627402,0.009698314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982387,0.000029611438,0.000007429984,0.000022835293,0.00007561993,0.000040743813],"domain_scores_gemma":[0.9996295,0.00012229786,0.000060831608,0.00003954091,0.00007274067,0.000075165386],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063662516,0.00082718884,0.00045016385,0.0027302345,0.0008672113,0.0017730792,0.0007724752,0.00049941934,0.005267624],"category_scores_gemma":[0.002714531,0.00023169526,0.00052988844,0.0009887165,0.001655163,0.0022492185,0.0010977366,0.0013089704,0.00092254183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008006951,0.000036329842,0.0016619411,0.000055644512,0.000007923398,0.00026743568,0.00021092308,0.0061195837,0.0033036994,0.9727056,0.0010334019,0.01451745],"study_design_scores_gemma":[0.000034795456,0.000059725582,0.0024160482,0.00005750418,0.000020026713,0.00044718303,0.0002719505,0.088218145,0.0073720315,0.8958677,0.0051792157,0.000055648597],"about_ca_topic_score_codex":0.0006366616,"about_ca_topic_score_gemma":0.0006778105,"teacher_disagreement_score":0.005267624,"about_ca_system_score_codex":0.0011416043,"about_ca_system_score_gemma":0.000490253,"threshold_uncertainty_score":0.017621934},"labels":[],"label_agreement":null},{"id":"W3155917198","doi":"10.4310/jsg.2022.v20.n6.a2","title":"Poisson maps between character varieties: gluing and capping","year":2022,"lang":"en","type":"article","venue":"Journal of Symplectic Geometry","topic":"Advanced Algebra and Geometry","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; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Character (mathematics); Poisson distribution; Pure mathematics; Statistics; Geometry","score_opus":0.035350458236451034,"score_gpt":0.2949892065722864,"score_spread":0.25963874833583533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3155917198","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6850137,0.000292104,0.26275063,0.00026707252,0.00023029318,0.0000954591,0.00010773406,0.0008188151,0.050424177],"genre_scores_gemma":[0.95428264,0.00013483912,0.037869416,0.00006626709,0.00004560177,0.000028137309,0.00008017615,0.00030028302,0.007192638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996575,0.000076258424,0.000015960613,0.000069602225,0.00011310934,0.00006756219],"domain_scores_gemma":[0.9996803,0.00008714876,0.000037185877,0.000070444694,0.000049107784,0.00007582143],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044676889,0.0004512061,0.000360779,0.0012223894,0.00097140623,0.0019042441,0.00062640966,0.0007454892,0.006435547],"category_scores_gemma":[0.0021315434,0.00032682004,0.00050270744,0.0006344574,0.0012772395,0.0022787633,0.0017063528,0.00086123624,0.0007344955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006805198,0.00004866931,0.0014239034,0.0000510157,0.000010719039,0.0005433464,0.0007306035,0.013137257,0.0074361754,0.94759583,0.00094486185,0.02800958],"study_design_scores_gemma":[0.000021846923,0.00008876478,0.001257811,0.000029423685,0.000010887792,0.00055461325,0.0005808612,0.089475095,0.01055641,0.88781726,0.009567348,0.00003971177],"about_ca_topic_score_codex":0.00039508374,"about_ca_topic_score_gemma":0.0002763628,"teacher_disagreement_score":0.006435547,"about_ca_system_score_codex":0.000501553,"about_ca_system_score_gemma":0.00021367434,"threshold_uncertainty_score":0.021529019},"labels":[],"label_agreement":null},{"id":"W3157280227","doi":"10.1007/s00220-021-04293-7","title":"Stokes manifolds and cluster algebras","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"","keywords":"Cluster (spacecraft); Pure mathematics; Mathematics; Geology; Computer science","score_opus":0.07644064762125102,"score_gpt":0.21898651206146721,"score_spread":0.1425458644402162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3157280227","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.787365,0.0012458385,0.06027332,0.0026999388,0.00021852419,0.000051475577,0.0004067741,0.00032054845,0.14741862],"genre_scores_gemma":[0.9708091,0.00053495413,0.0054465965,0.00016470134,0.00014008686,0.000031821804,0.00017274286,0.000037889073,0.02266214],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998086,0.000038614115,0.0000055975775,0.000042583004,0.000062786494,0.00004180508],"domain_scores_gemma":[0.9998437,0.00001875321,0.000029549683,0.000015897924,0.00003912502,0.00005296039],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019620267,0.0002454205,0.00020446713,0.0008884845,0.00111427,0.0012248515,0.0003515594,0.00037882963,0.005135892],"category_scores_gemma":[0.0005013532,0.00013662106,0.0001937916,0.00053120125,0.0017071571,0.0020102407,0.0013026182,0.0005586125,0.00055242045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002806675,0.000002281097,0.00014898677,0.000005733479,0.0000011247151,0.00001634912,0.00012557518,0.00028919516,0.00039596247,0.9972403,0.0005282163,0.0012433316],"study_design_scores_gemma":[0.0000059804865,0.00001599027,0.0012484296,0.000009448783,0.000002899613,0.00012424689,0.00030915157,0.0048307125,0.0006934933,0.9761622,0.016586844,0.000010651766],"about_ca_topic_score_codex":0.0019185279,"about_ca_topic_score_gemma":0.0013054668,"teacher_disagreement_score":0.005135892,"about_ca_system_score_codex":0.0010627927,"about_ca_system_score_gemma":0.00060830667,"threshold_uncertainty_score":0.017181277},"labels":[],"label_agreement":null},{"id":"W3157485713","doi":"10.1090/ert/567","title":"Dilogarithm and higher ℒ-invariants for GL₃(𝐐_{𝐩})","year":2021,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Mathematics; Algebra over a field; Pure mathematics","score_opus":0.04738514693773217,"score_gpt":0.35290753739059266,"score_spread":0.3055223904528605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3157485713","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34197286,0.0019526039,0.28930214,0.0041879085,0.0013878531,0.00010002266,0.0006854317,0.0010111985,0.35939997],"genre_scores_gemma":[0.8980559,0.0006506984,0.032782853,0.0010252118,0.0008441213,0.00010370811,0.00048312853,0.00054335844,0.06551094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991001,0.0001447095,0.000044593624,0.00020789198,0.00024024371,0.00026253733],"domain_scores_gemma":[0.9990395,0.00026703312,0.0001865732,0.0001185599,0.00022990715,0.00015846499],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001026298,0.0006588735,0.0005393958,0.002361491,0.0018197898,0.0031341221,0.0009916116,0.0008297667,0.013372992],"category_scores_gemma":[0.0019805036,0.00026913945,0.0013996002,0.0010836858,0.004250361,0.004325524,0.002594717,0.0030607674,0.0028225887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008527312,0.0000067094215,0.00007065012,0.000012479362,0.0000024294588,0.000039171206,0.00013911098,0.00016296419,0.00026297563,0.99600935,0.00078505604,0.0025004256],"study_design_scores_gemma":[0.000009444703,0.00002001218,0.00021403954,0.000012036756,0.0000066535436,0.0000887124,0.000106806416,0.0019522684,0.00070459297,0.98843133,0.008435662,0.00001843227],"about_ca_topic_score_codex":0.0013635207,"about_ca_topic_score_gemma":0.0011045212,"teacher_disagreement_score":0.013372992,"about_ca_system_score_codex":0.0028353028,"about_ca_system_score_gemma":0.0006057546,"threshold_uncertainty_score":0.0447371},"labels":[],"label_agreement":null},{"id":"W3157766568","doi":"10.11588/heidok.00029302","title":"Boundary Distributions for GL3 over a Local Field and Symmetric Power Coefficients","year":2021,"lang":"en","type":"dissertation","venue":"heiDOK (Heidelberg University)","topic":"Advanced Algebra and Geometry","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":"Deutsche Forschungsgemeinschaft; Concordia University; Deutscher Akademischer Austauschdienst","keywords":"Mathematics; Bounded function; Pure mathematics; Holomorphic function; Poisson kernel; Boundary (topology); Poisson distribution; Harmonic function; Mathematical analysis","score_opus":0.012108574217251223,"score_gpt":0.27266145898439254,"score_spread":0.26055288476714134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3157766568","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8947457,0.0005338744,0.052193355,0.0005839461,0.00006298203,0.000030948366,0.00009132128,0.00012632622,0.05163155],"genre_scores_gemma":[0.98492765,0.00029688532,0.0040558,0.000055278724,0.00004182059,0.000017029408,0.00006274399,0.00005852612,0.010484259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999816,0.000025865264,0.000006951298,0.000033238968,0.00006807158,0.000049972365],"domain_scores_gemma":[0.9997682,0.00004452945,0.0000463538,0.000020319696,0.000041909254,0.00007868333],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025795723,0.00033577962,0.0003124174,0.0012736516,0.0008764347,0.0011735092,0.0003521496,0.0003340785,0.00478827],"category_scores_gemma":[0.000905252,0.00016586883,0.00038588938,0.0005237537,0.0016287823,0.0019112983,0.0011751904,0.0008963476,0.00056850765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002583592,0.000018838007,0.000524819,0.000034739747,0.000004101089,0.00017480917,0.0004948295,0.0011626654,0.004418604,0.9857496,0.00042604664,0.0069650896],"study_design_scores_gemma":[0.00002804586,0.000060998726,0.0024581149,0.000024750198,0.0000075099974,0.00061595073,0.0006030032,0.010267946,0.0038305207,0.97657144,0.005510087,0.00002173471],"about_ca_topic_score_codex":0.0009980148,"about_ca_topic_score_gemma":0.0006512251,"teacher_disagreement_score":0.00478827,"about_ca_system_score_codex":0.0011045571,"about_ca_system_score_gemma":0.00033058357,"threshold_uncertainty_score":0.01601839},"labels":[],"label_agreement":null},{"id":"W3161316088","doi":"10.2140/ant.2023.17.2181","title":"Limit multiplicity for unitary groups and the stable trace formula","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Unitary state; Pure mathematics; TRACE (psycholinguistics); Limit (mathematics); Cohomology; Direct limit; Multiplicity (mathematics); Unitary group; Classical group; Algebra over a field; Arithmetic; Mathematical analysis; Lie group; Linguistics","score_opus":0.028894865508855158,"score_gpt":0.30383984223201527,"score_spread":0.2749449767231601,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3161316088","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8035497,0.0013573718,0.14282268,0.0011099643,0.00016725017,0.00004078884,0.00011513324,0.0004197277,0.050417364],"genre_scores_gemma":[0.9886624,0.00022488835,0.006528847,0.000050117396,0.00010858444,0.00003671079,0.000053476528,0.000044170865,0.004290752],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989392,0.000187414,0.000056263354,0.0002056688,0.00033971458,0.0002717864],"domain_scores_gemma":[0.99583745,0.0018247652,0.0005089434,0.0005037798,0.00046614234,0.00085891533],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016219205,0.00064655504,0.00062601396,0.0034599989,0.0020213653,0.0027420137,0.0014452072,0.0010073924,0.006978885],"category_scores_gemma":[0.008888915,0.0003955869,0.0008089615,0.0009922803,0.0039489367,0.006050857,0.0029927236,0.002247431,0.00070310524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007499415,0.000034979807,0.0021665671,0.0000475753,0.000010827799,0.0002516354,0.00049266295,0.0022494674,0.0041112704,0.9819224,0.00050588255,0.0081317155],"study_design_scores_gemma":[0.000013657627,0.00006096171,0.00091375055,0.000037912356,0.000018527418,0.00032085786,0.00016048012,0.03252626,0.006935241,0.9571647,0.0018187668,0.000028919816],"about_ca_topic_score_codex":0.00038701043,"about_ca_topic_score_gemma":0.0003442775,"teacher_disagreement_score":0.006978885,"about_ca_system_score_codex":0.0014194613,"about_ca_system_score_gemma":0.00040201913,"threshold_uncertainty_score":0.023346722},"labels":[],"label_agreement":null},{"id":"W3170731016","doi":"10.4171/jems/1659","title":"Stratified gradient Hamiltonian vector fields and collective integrable systems","year":2025,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Integrable system; Hamiltonian system; Vector field; Mathematical physics; Hamiltonian (control theory); Physics; Mathematics; Pure mathematics; Mechanics; Mathematical optimization","score_opus":0.021674616892392827,"score_gpt":0.27690199413875044,"score_spread":0.25522737724635763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3170731016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92733186,0.0002721678,0.05494234,0.0003363001,0.000060402966,0.000028866878,0.000066247245,0.000083001105,0.016878773],"genre_scores_gemma":[0.9931083,0.00009715545,0.0038428642,0.00002162318,0.00002317644,0.000011345268,0.00003420059,0.000008596137,0.0028526504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99990225,0.000017580276,0.0000056346416,0.000017724953,0.000032627522,0.000024216168],"domain_scores_gemma":[0.99981743,0.000013947456,0.000048608334,0.000023001914,0.000029817946,0.000067259636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018679947,0.00021780447,0.00022847901,0.00084263587,0.0007544545,0.00083699066,0.00026723198,0.00026698597,0.0014112816],"category_scores_gemma":[0.00043890227,0.00014073915,0.0002471186,0.0002791582,0.0012279588,0.0012116249,0.00096937176,0.00047188386,0.00014692415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000116515075,0.000016721846,0.0010118209,0.000016763297,0.000007916548,0.00018422763,0.00038865092,0.0038277605,0.0046499087,0.9871459,0.00026170543,0.0024769986],"study_design_scores_gemma":[0.000028920811,0.00013472077,0.0051661115,0.000033273678,0.000018162187,0.0005374147,0.0006801883,0.08783503,0.0051594595,0.8925518,0.007818527,0.0000363041],"about_ca_topic_score_codex":0.00084719836,"about_ca_topic_score_gemma":0.00075120974,"teacher_disagreement_score":0.0014112816,"about_ca_system_score_codex":0.0007079142,"about_ca_system_score_gemma":0.00036779724,"threshold_uncertainty_score":0.0051362514},"labels":[],"label_agreement":null},{"id":"W3175209382","doi":"10.4204/eptcs.343.8","title":"Generators and Relations for Un(Z[1/2,i])","year":2021,"lang":"en","type":"article","venue":"Electronic Proceedings in Theoretical Computer Science","topic":"Advanced Algebra and Geometry","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":"","keywords":"Computer science; Political science","score_opus":0.008787751245342658,"score_gpt":0.27804600276117625,"score_spread":0.2692582515158336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3175209382","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18431626,0.0043849545,0.42425284,0.0037226714,0.0017148401,0.00060504,0.0024772761,0.0012855452,0.37724057],"genre_scores_gemma":[0.83923453,0.0009760808,0.120428264,0.0008080338,0.0004358267,0.00093517033,0.0015732382,0.000282638,0.035326246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994056,0.00018586767,0.00003225168,0.00010691882,0.00011353144,0.00015576741],"domain_scores_gemma":[0.99962974,0.00013056192,0.000057714806,0.00004623622,0.000069077614,0.0000666541],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008651608,0.00058977795,0.0003637837,0.00112972,0.0014103517,0.0017306366,0.0008480856,0.0006403963,0.011319735],"category_scores_gemma":[0.0009059415,0.00021618098,0.0003842265,0.00070819416,0.002078999,0.0016696429,0.001603583,0.0015687847,0.0025128126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019557992,0.00001561856,0.00008044581,0.000016477727,0.000001530662,0.000083939376,0.0005466558,0.00016850632,0.0010535453,0.9902653,0.0016420997,0.0061062775],"study_design_scores_gemma":[0.000026724567,0.000057473484,0.000272763,0.000029863664,0.000006670981,0.0002501081,0.0003338138,0.0020447103,0.003011315,0.94276977,0.051171046,0.000025834252],"about_ca_topic_score_codex":0.0008717585,"about_ca_topic_score_gemma":0.00068804424,"teacher_disagreement_score":0.011319735,"about_ca_system_score_codex":0.0006984769,"about_ca_system_score_gemma":0.00059929705,"threshold_uncertainty_score":0.03786826},"labels":[],"label_agreement":null},{"id":"W3184139282","doi":"10.1016/j.jnt.2021.06.033","title":"The Katok-Sarnak formula for higher weights","year":2021,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"National Research, Development and Innovation Office; Nemzeti Kutatási Fejlesztési és Innovációs Hivatal; Mount Allison University; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mathematics; Pure mathematics","score_opus":0.02964425901666336,"score_gpt":0.34060722061025017,"score_spread":0.31096296159358683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3184139282","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.563365,0.0020643468,0.18022239,0.0036149481,0.0012753088,0.00007978202,0.00036637182,0.00055015006,0.24846159],"genre_scores_gemma":[0.9611862,0.0006591899,0.015440111,0.00055263395,0.0005292072,0.000052636107,0.000115897274,0.000109356275,0.021354688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995771,0.000056650166,0.000027438104,0.00006927354,0.00016768316,0.00010189555],"domain_scores_gemma":[0.9992217,0.00022051523,0.00013752708,0.00011770518,0.00017424322,0.00012824802],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063884247,0.00056286226,0.00069439254,0.0024900625,0.0015138708,0.001965057,0.001236273,0.0009438436,0.007689241],"category_scores_gemma":[0.0025427504,0.00033862187,0.0010008409,0.0016473087,0.0026117084,0.0046405066,0.0022964037,0.0022240067,0.0014013662],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001250251,0.000007935023,0.00031189696,0.000029737428,0.0000043525974,0.00007994936,0.00016364978,0.0003031925,0.0009080187,0.99415046,0.00092229113,0.0031058753],"study_design_scores_gemma":[0.000010428409,0.000018525201,0.00045577576,0.000019119234,0.000013761181,0.00017436598,0.00008577525,0.0032447323,0.00077833585,0.99144334,0.0037393076,0.000016442811],"about_ca_topic_score_codex":0.00090061786,"about_ca_topic_score_gemma":0.0009970308,"teacher_disagreement_score":0.007689241,"about_ca_system_score_codex":0.0010066907,"about_ca_system_score_gemma":0.0006131109,"threshold_uncertainty_score":0.02572304},"labels":[],"label_agreement":null},{"id":"W3188053900","doi":"10.3390/axioms10030173","title":"Correction: Bates et al. Vector Fields and Differential Forms on the Orbit Space of a Proper Action. Axioms 2021, 10, 118","year":2021,"lang":"en","type":"article","venue":"Axioms","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"BATES; Action (physics); Orbit (dynamics); Space (punctuation); Axiom; Computer science; Mathematics; Physics; Aerospace engineering; Geometry; Engineering; Quantum mechanics","score_opus":0.03338327372650869,"score_gpt":0.30483415142887094,"score_spread":0.27145087770236226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3188053900","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00015554568,0.001606804,0.0009806321,0.11306591,0.8799462,0.000017681621,0.001489787,0.0003448339,0.0023926222],"genre_scores_gemma":[0.03274123,0.012090844,0.007842955,0.23627137,0.52017206,0.00039741327,0.004411957,0.0025957986,0.18347642],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9920826,0.001265427,0.0012127886,0.0013461949,0.0032721774,0.0008207794],"domain_scores_gemma":[0.95238864,0.0075289286,0.0017303748,0.002704501,0.033951513,0.0016960358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0074583874,0.0034432444,0.0025935129,0.004865475,0.005681148,0.005925042,0.004775485,0.010503717,0.03934046],"category_scores_gemma":[0.094944105,0.0014403125,0.0027466828,0.0029751258,0.006001135,0.0052085523,0.004183799,0.01889969,0.023534708],"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":[0.000017731594,0.0000024721573,0.00003389665,0.00008452488,0.000013897394,0.00007158539,0.00006239051,0.000016422284,0.000014378475,0.002273371,0.9956713,0.0017379284],"study_design_scores_gemma":[0.00006232508,0.000015329719,0.0007030243,0.00036297587,0.000081671256,0.0005921671,0.00015791295,0.00020361725,0.00019487264,0.0064631873,0.9911011,0.00006187263],"about_ca_topic_score_codex":0.03854037,"about_ca_topic_score_gemma":0.03270568,"teacher_disagreement_score":0.03934046,"about_ca_system_score_codex":0.007852984,"about_ca_system_score_gemma":0.009966151,"threshold_uncertainty_score":0.131607},"labels":[],"label_agreement":null},{"id":"W3191434012","doi":"10.1007/s40316-021-00171-9","title":"Volume formula for N-fold reduced products","year":2021,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Advanced Algebra and Geometry","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":"Symplectic geometry; Mathematics; Orbifold; Diagonal; Lie group; Cartesian product; Quotient; Hamiltonian (control theory); Triple product; Moment map; Pure mathematics; Mathematical physics; Combinatorics; Geometry","score_opus":0.02942959891182304,"score_gpt":0.2880114650880646,"score_spread":0.2585818661762415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3191434012","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28711048,0.0049801916,0.13159327,0.0043162443,0.0014180597,0.00008246213,0.0008461429,0.0005072224,0.5691459],"genre_scores_gemma":[0.86392444,0.001919213,0.020182174,0.0006734576,0.0013274496,0.000104777675,0.00050527963,0.0004297296,0.11093346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993106,0.00011666866,0.000026473484,0.00009893065,0.00032909427,0.00011822767],"domain_scores_gemma":[0.9989116,0.00034361644,0.00012293829,0.000121716745,0.00030862383,0.00019155453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010618985,0.00097518734,0.001075903,0.004601908,0.002066527,0.004231682,0.0023899327,0.0010406426,0.011022628],"category_scores_gemma":[0.0024974926,0.0004659795,0.00074048195,0.002367179,0.004289155,0.0047112578,0.0017691869,0.0024746659,0.0019293453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013858537,0.00001265353,0.0001247586,0.000023480065,0.0000047842423,0.000054119195,0.00011919466,0.0005337997,0.00047323908,0.9928524,0.0014041174,0.004383647],"study_design_scores_gemma":[0.0000051105458,0.000006609528,0.00042817838,0.0000148753115,0.0000052514597,0.00008034327,0.000034094865,0.0044051865,0.00032874988,0.99013734,0.0045402846,0.000013895336],"about_ca_topic_score_codex":0.014134927,"about_ca_topic_score_gemma":0.015099871,"teacher_disagreement_score":0.014134927,"about_ca_system_score_codex":0.004710567,"about_ca_system_score_gemma":0.0013279389,"threshold_uncertainty_score":0.036874354},"labels":[],"label_agreement":null},{"id":"W3195002587","doi":"10.1007/s10711-022-00703-9","title":"Benjamini-Schramm convergence of periodic orbits","year":2022,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Advanced Algebra and Geometry","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 Toronto","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; National Science Foundation","keywords":"Differential geometry; Algebraic geometry; Mathematics; Convergence (economics); Hyperbolic geometry; Topology (electrical circuits); Pure mathematics; Mathematical analysis; Combinatorics","score_opus":0.04554428777877598,"score_gpt":0.31494811026245983,"score_spread":0.2694038224836839,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3195002587","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5352774,0.0010546374,0.33232462,0.002386862,0.00031886314,0.000095167576,0.00030388247,0.00030247177,0.12793612],"genre_scores_gemma":[0.9633349,0.0003998551,0.019487124,0.00019015127,0.00017019111,0.000089630965,0.00016041107,0.000096957265,0.016070846],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947935,0.000118329306,0.000025494217,0.000082851584,0.00020152598,0.000092531605],"domain_scores_gemma":[0.99848676,0.0005764395,0.00014584589,0.00017081528,0.00040359647,0.00021650213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012430049,0.00047558357,0.0005471621,0.001973855,0.0013357125,0.0012747857,0.000800439,0.00091037527,0.0048864977],"category_scores_gemma":[0.004442258,0.00023797741,0.000649458,0.00057109544,0.0021162268,0.0019653516,0.0021719981,0.0013066654,0.0007167524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013250613,0.00000783665,0.00043588819,0.000025749896,0.000005934082,0.000090316404,0.00016255991,0.0019900207,0.0013945848,0.99253744,0.0007143971,0.0026221157],"study_design_scores_gemma":[0.000010497283,0.000027829,0.0007885173,0.000023562417,0.000005125353,0.0001948705,0.0001241146,0.03922252,0.0018878493,0.9553663,0.002331531,0.000017363931],"about_ca_topic_score_codex":0.0010747408,"about_ca_topic_score_gemma":0.0007218503,"teacher_disagreement_score":0.0048864977,"about_ca_system_score_codex":0.0011657587,"about_ca_system_score_gemma":0.00066480297,"threshold_uncertainty_score":0.016346991},"labels":[],"label_agreement":null},{"id":"W3195099468","doi":"","title":"On Klingen Eisenstein Series with Level in Degree Two","year":2019,"lang":"en","type":"article","venue":"Journal of the Ramanujan Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Eisenstein series; Mathematics; Pure mathematics; Congruence (geometry); Lift (data mining); Degree (music); Series (stratigraphy); Algebra over a field; Geometry; Modular form; Physics; Computer science","score_opus":0.051537992798346706,"score_gpt":0.3027571489212816,"score_spread":0.2512191561229349,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3195099468","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6879641,0.00096148415,0.109621815,0.003407002,0.0012530213,0.0000963001,0.00018928277,0.0006821947,0.19582479],"genre_scores_gemma":[0.95568866,0.000493073,0.012481288,0.0004223541,0.00043234334,0.000060646307,0.000079279846,0.00012027303,0.030222094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947697,0.00009746494,0.000018851135,0.00006104553,0.00016736586,0.00017835978],"domain_scores_gemma":[0.999579,0.000084635816,0.000063756335,0.000062665735,0.00006234782,0.00014764788],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008749774,0.0010002485,0.0008433818,0.0026574375,0.00197532,0.002294472,0.00080145284,0.001015449,0.0072442773],"category_scores_gemma":[0.0017399474,0.00032944715,0.00088828226,0.0014075978,0.0036030482,0.0037951046,0.0026157745,0.0028608998,0.0016016938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021465443,0.000017696575,0.0001440246,0.000015956326,0.0000027808285,0.00019716377,0.00026331045,0.0005539116,0.0012760303,0.99417603,0.00044431246,0.0028873882],"study_design_scores_gemma":[0.000021059188,0.000041218675,0.0002849899,0.000026038872,0.0000049487485,0.00024386986,0.00015726783,0.0031847528,0.0008979154,0.99091446,0.0042036814,0.000019873436],"about_ca_topic_score_codex":0.00073024136,"about_ca_topic_score_gemma":0.0007255324,"teacher_disagreement_score":0.0072442773,"about_ca_system_score_codex":0.00150633,"about_ca_system_score_gemma":0.00068096566,"threshold_uncertainty_score":0.024234533},"labels":[],"label_agreement":null},{"id":"W3197151720","doi":"10.1016/j.aim.2024.109491","title":"Springer fibers and the Delta Conjecture at t = 0","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Simons Foundation; National Science Foundation","keywords":"Delta; Conjecture; Computer science; Combinatorics; Mathematics; Engineering; Aerospace engineering","score_opus":0.012666847947375473,"score_gpt":0.30669105642975936,"score_spread":0.29402420848238386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3197151720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96131027,0.0001394303,0.007590518,0.00080002594,0.000060287446,0.000011243285,0.00006695377,0.00008328726,0.029937968],"genre_scores_gemma":[0.9929173,0.00009175813,0.0014761288,0.00007680333,0.00004389564,0.000009881932,0.00006796039,0.00001612868,0.0053001703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997907,0.000027344693,0.000008353741,0.00004722685,0.00004600372,0.000080392136],"domain_scores_gemma":[0.9996872,0.00005020638,0.000057754798,0.000046086774,0.00003928515,0.0001194396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004361009,0.0002602899,0.0002565623,0.00082296017,0.0013538426,0.0016286395,0.00037229666,0.0006003472,0.003654101],"category_scores_gemma":[0.00076224597,0.00017190955,0.00032150888,0.00034855775,0.001994107,0.0028318965,0.0014759684,0.0010115134,0.00022375211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006611891,0.000030180756,0.0032629773,0.000017552578,0.0000035447024,0.00044616289,0.00055517425,0.001195341,0.0020999736,0.9874247,0.0008178651,0.004080543],"study_design_scores_gemma":[0.000056905563,0.00007896473,0.0049412157,0.000027139778,0.000009054278,0.00053652807,0.0010288797,0.008434609,0.0036696962,0.9752295,0.005962802,0.000024765499],"about_ca_topic_score_codex":0.0016159713,"about_ca_topic_score_gemma":0.0011527154,"teacher_disagreement_score":0.003654101,"about_ca_system_score_codex":0.00092230056,"about_ca_system_score_gemma":0.0004626318,"threshold_uncertainty_score":0.012224138},"labels":[],"label_agreement":null},{"id":"W3200073357","doi":"10.4153/s0008439521000813","title":"The Allison–Faulkner construction of","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Fonds Wetenschappelijk Onderzoek; Russian Foundation for Basic Research","keywords":"Mathematics; Rank (graph theory); Pure mathematics; Isotropy; Type (biology); Construct (python library); Field (mathematics); Degree (music); Algebra over a field; Combinatorics; Quantum mechanics","score_opus":0.017965288937857687,"score_gpt":0.26446769568499884,"score_spread":0.24650240674714116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200073357","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7376969,0.00026928273,0.04769292,0.00057035487,0.00022909963,0.000037045676,0.00010553713,0.00027074534,0.21312808],"genre_scores_gemma":[0.9820025,0.000050068407,0.0035821542,0.00009383665,0.000031823718,0.000012507854,0.00004638628,0.00003241705,0.014148327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996711,0.00003924363,0.000009856711,0.000056676785,0.00009101751,0.00013199773],"domain_scores_gemma":[0.9996853,0.000039204868,0.00004084709,0.000087819135,0.00004548738,0.00010130213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039612592,0.00017141768,0.0002819545,0.00091064244,0.0011300617,0.0012393619,0.00036325213,0.00036281726,0.006569535],"category_scores_gemma":[0.00062318606,0.00016410767,0.00042939367,0.00037397598,0.0024639422,0.0017901413,0.0015098699,0.0011031984,0.0005680196],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019895897,0.000009996198,0.00032062433,0.000013211288,0.000004584465,0.00010617264,0.0004168781,0.00023262847,0.0018954516,0.992042,0.00083282124,0.0041057216],"study_design_scores_gemma":[0.000027803488,0.00004611301,0.0030248347,0.000023591245,0.000018959137,0.00052916474,0.0005727286,0.0031592462,0.006824239,0.9567104,0.029031089,0.00003188947],"about_ca_topic_score_codex":0.0010063684,"about_ca_topic_score_gemma":0.0010293218,"teacher_disagreement_score":0.006569535,"about_ca_system_score_codex":0.0007556738,"about_ca_system_score_gemma":0.00044344814,"threshold_uncertainty_score":0.021977305},"labels":[],"label_agreement":null},{"id":"W3200610991","doi":"10.5802/ahl.105","title":"Commutative character sheaves and geometric types for supercuspidal representations","year":2021,"lang":"en","type":"article","venue":"Annales Henri Lebesgue","topic":"Advanced Algebra and Geometry","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":"BP (Canada); University of Calgary","funders":"","keywords":"Character (mathematics); Commutative property; Mathematics; Pure mathematics; Geometry","score_opus":0.0622754387832522,"score_gpt":0.3623028025392097,"score_spread":0.3000273637559575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200610991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65690756,0.00055739767,0.2515608,0.0010300452,0.00033853273,0.00008800391,0.00020989926,0.0003114899,0.0889963],"genre_scores_gemma":[0.9665699,0.00022466369,0.019632094,0.00012808974,0.00011747956,0.000042551645,0.00009408193,0.00006797185,0.013123102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889743,0.00018756476,0.00008426468,0.00024938435,0.00037367822,0.00020765902],"domain_scores_gemma":[0.99824464,0.00034877658,0.00032916173,0.0006171601,0.00021667972,0.00024352549],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000892193,0.00042314533,0.00047644073,0.0017672973,0.0016880063,0.0031258187,0.0009093483,0.00080865977,0.00491828],"category_scores_gemma":[0.0024946432,0.000312707,0.000741426,0.001106731,0.00426342,0.007494717,0.0033829135,0.0020387755,0.00061836204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008373857,0.000007998609,0.00038798948,0.000010845715,0.0000028111224,0.00007144751,0.0005164823,0.00016329218,0.00069792924,0.99480975,0.00015340994,0.0031697385],"study_design_scores_gemma":[0.000013165524,0.000034138156,0.00087628193,0.00001927028,0.000014529486,0.0005431486,0.0007618299,0.0031473474,0.0034213513,0.97812563,0.013010722,0.00003259981],"about_ca_topic_score_codex":0.00039020137,"about_ca_topic_score_gemma":0.0002943686,"teacher_disagreement_score":0.00491828,"about_ca_system_score_codex":0.0010445367,"about_ca_system_score_gemma":0.0004033731,"threshold_uncertainty_score":0.016453266},"labels":[],"label_agreement":null},{"id":"W3207653637","doi":"10.1017/s1474748025101321","title":"DENOMINATORS IN LUSZTIG’S ASYMPTOTIC HECKE ALGEBRA VIA THE PLANCHEREL FORMULA","year":2025,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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; Hecke algebra; Conjecture; Polynomial; Type (biology); Weyl group; Ring (chemistry); Affine transformation; Subalgebra; Combinatorics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.017447377283998106,"score_gpt":0.2939513276304069,"score_spread":0.2765039503464088,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207653637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84612846,0.00042162498,0.08038794,0.0008664576,0.00017804524,0.00004637444,0.00017226185,0.000386972,0.07141197],"genre_scores_gemma":[0.98402727,0.00014376672,0.0055828076,0.000087887696,0.00014828482,0.0000252123,0.00009691389,0.00005362598,0.009834309],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994067,0.00010726372,0.000023166433,0.00009947965,0.000245209,0.00011826385],"domain_scores_gemma":[0.99958855,0.00009542888,0.00006145103,0.00006184239,0.00009467767,0.0000980048],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007208384,0.00045252373,0.0006697809,0.0013438624,0.0010746917,0.0016397607,0.00085646444,0.0005693954,0.0057329396],"category_scores_gemma":[0.0018513703,0.00022985972,0.00050540693,0.0008808584,0.0021750086,0.0036681567,0.0012249512,0.0016146163,0.0011787422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004674619,0.00004049942,0.00039572007,0.000018895129,0.000004333716,0.00018792831,0.00029442622,0.0011430252,0.0023726455,0.9907454,0.00049137743,0.0042588874],"study_design_scores_gemma":[0.000024168323,0.00005000191,0.0005788053,0.000011643517,0.000006615998,0.00016296678,0.00011420451,0.010194603,0.0029932272,0.983433,0.0024087029,0.00002203453],"about_ca_topic_score_codex":0.0010400817,"about_ca_topic_score_gemma":0.0007461702,"teacher_disagreement_score":0.0057329396,"about_ca_system_score_codex":0.0011603499,"about_ca_system_score_gemma":0.0005076259,"threshold_uncertainty_score":0.019178629},"labels":[],"label_agreement":null},{"id":"W3211897836","doi":"","title":"Adjoint L-Functions, Period Integrals, and A Converse theorem for SL 2","year":2017,"lang":"en","type":"article","venue":"Journal of the Ramanujan Mathematical Society","topic":"Advanced Algebra and Geometry","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":"","keywords":"Converse theorem; Converse; Mathematics; Twist; Pure mathematics; Automorphic form; Modulo; Period (music); Quadratic equation; Combinatorics","score_opus":0.037040455673127755,"score_gpt":0.3228095497589024,"score_spread":0.28576909408577467,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3211897836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78319067,0.0019573732,0.08863403,0.0059698764,0.0008672659,0.000037704103,0.0002997953,0.0003174373,0.11872587],"genre_scores_gemma":[0.9823254,0.00045496304,0.0068949214,0.0005922727,0.000530924,0.000021389587,0.000121775025,0.000029297837,0.009029101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995523,0.00009888175,0.000025284398,0.00010025354,0.00013249593,0.00009076305],"domain_scores_gemma":[0.99935204,0.0002430822,0.00009836735,0.0000809817,0.00011143727,0.0001141276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010452619,0.00036731965,0.00048700572,0.0012452778,0.0013332836,0.0014825192,0.0004872216,0.00093918166,0.004262851],"category_scores_gemma":[0.0015579602,0.00018640199,0.0006583322,0.00048006405,0.002228271,0.0026271034,0.0018132671,0.0017582932,0.0004498996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038879556,0.000021120835,0.0004422925,0.00004478032,0.0000051480547,0.00024229192,0.00021950941,0.00061266107,0.0020163562,0.990738,0.0014280257,0.004190955],"study_design_scores_gemma":[0.000018947541,0.00003950762,0.0006816341,0.000012132579,0.000006199747,0.00048203307,0.00012634411,0.005331421,0.0010898032,0.98834795,0.0038479161,0.000016261216],"about_ca_topic_score_codex":0.00051212485,"about_ca_topic_score_gemma":0.0002596561,"teacher_disagreement_score":0.004262851,"about_ca_system_score_codex":0.0005175718,"about_ca_system_score_gemma":0.00034432494,"threshold_uncertainty_score":0.014260709},"labels":[],"label_agreement":null},{"id":"W3214996767","doi":"10.1016/j.aim.2021.108077","title":"Representations of the elliptic affine Hecke algebras","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Fondation Sciences Mathématiques de Paris; Australian Research Council; Centre National de la Recherche Scientifique; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Pure mathematics; Affine transformation; Type (biology); Equivariant map; Supersingular elliptic curve; Variety (cybernetics); Modular elliptic curve; Elliptic curve; Algebra over a field; Hecke algebra; Affine representation; Quarter period; Affine Lie algebra","score_opus":0.024287154867632756,"score_gpt":0.3399954147653592,"score_spread":0.31570825989772644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3214996767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6055995,0.0026715929,0.087190896,0.003686081,0.0007590085,0.00009418771,0.0005294299,0.00044623087,0.29902306],"genre_scores_gemma":[0.9348483,0.0010238463,0.007302373,0.0003160069,0.00066661177,0.000034603305,0.000261091,0.000072001,0.05547517],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995369,0.00009292171,0.000021757487,0.00006582158,0.00017668438,0.00010591771],"domain_scores_gemma":[0.9994875,0.00009015968,0.00009365526,0.000081668644,0.000098394565,0.00014853665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007426617,0.00060729514,0.0005782163,0.0017810769,0.001380057,0.0031393152,0.00071536266,0.00086819485,0.01213485],"category_scores_gemma":[0.0017252859,0.00036670282,0.0005488848,0.0014265215,0.002199364,0.0036910358,0.0015307998,0.0021017722,0.0014471427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017535978,0.000020592597,0.000108353175,0.000013138515,0.000003100892,0.000038283404,0.00018900607,0.00045343896,0.0006088891,0.994522,0.000546659,0.0034789771],"study_design_scores_gemma":[0.000018044762,0.000015751235,0.00028873354,0.000010158148,0.0000041505996,0.00009463521,0.00013439053,0.0027825886,0.0004655046,0.9928295,0.0033437076,0.000012789576],"about_ca_topic_score_codex":0.0007660606,"about_ca_topic_score_gemma":0.00050896726,"teacher_disagreement_score":0.01213485,"about_ca_system_score_codex":0.0009386047,"about_ca_system_score_gemma":0.0005913822,"threshold_uncertainty_score":0.040595114},"labels":[],"label_agreement":null},{"id":"W3215002017","doi":"10.1007/s40687-023-00388-w","title":"Iwasawa invariants for symmetric square representations","year":2023,"lang":"en","type":"article","venue":"Research in the Mathematical Sciences","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"","keywords":"Mathematics; Congruence relation; Congruence (geometry); Prime (order theory); Combinatorics; Iwasawa theory; Modulo; Algebraic number; Square (algebra); Congruence subgroup; Number theory; Modular form; Pure mathematics; Conjecture; Geometry; Mathematical analysis","score_opus":0.5380332566514012,"score_gpt":0.5672470494247076,"score_spread":0.02921379277330638,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3215002017","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6692082,0.0013213147,0.10715971,0.0021917466,0.00095543807,0.00007875031,0.00034230857,0.0005758968,0.21816657],"genre_scores_gemma":[0.9541056,0.000652862,0.011626305,0.00040616823,0.0006640348,0.000056877667,0.0002970688,0.00021806806,0.031973056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995326,0.00007606616,0.000027204005,0.00008890296,0.00016076156,0.00011459979],"domain_scores_gemma":[0.99927276,0.00017602694,0.0001587463,0.00010260336,0.00011255134,0.00017730266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010710291,0.00093224103,0.0007858067,0.0037591315,0.0015292488,0.0031279204,0.00096701545,0.0009869664,0.00750153],"category_scores_gemma":[0.0023329728,0.00046090235,0.0007279311,0.0020135995,0.0030689451,0.0049822787,0.001825923,0.0021790143,0.0012887942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018707418,0.000017861405,0.000116325675,0.000010910109,0.0000030646038,0.00004043983,0.00015105764,0.0003122328,0.0006184129,0.9949039,0.0007137731,0.0030933388],"study_design_scores_gemma":[0.000010971664,0.000013464614,0.00027809845,0.000005354173,0.0000041687367,0.0000591344,0.000089445304,0.0023314161,0.00029949044,0.99539304,0.001504469,0.000011056556],"about_ca_topic_score_codex":0.0009904518,"about_ca_topic_score_gemma":0.0008257354,"teacher_disagreement_score":0.00750153,"about_ca_system_score_codex":0.0013622299,"about_ca_system_score_gemma":0.00064476073,"threshold_uncertainty_score":0.025095165},"labels":[],"label_agreement":null},{"id":"W3217711998","doi":"10.1017/fms.2021.65","title":"On the Tits–Weiss conjecture and the Kneser–Tits conjecture for and (With an Appendix by R. M. Weiss)","year":2021,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Advanced Algebra and Geometry","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; Consejo Nacional de Investigaciones Científicas y Técnicas; University of Alberta; Alexander von Humboldt-Stiftung","keywords":"Conjecture; Corollary; Mathematics; Algebraic number; Combinatorics; Type (biology); Norm (philosophy); Group (periodic table); Equivalence (formal languages); Field (mathematics); Pure mathematics; Physics; Mathematical analysis; Law; Quantum mechanics","score_opus":0.01374149731615233,"score_gpt":0.26514295261839865,"score_spread":0.25140145530224633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3217711998","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42800808,0.009173675,0.11674147,0.04955493,0.0049112467,0.00008727449,0.0007255189,0.0005790266,0.39021885],"genre_scores_gemma":[0.9267699,0.0034973656,0.015395654,0.0022063584,0.00325152,0.00006818826,0.0006310267,0.00013753863,0.048042327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936825,0.00016988754,0.000043630313,0.00014963083,0.00017159613,0.00009713663],"domain_scores_gemma":[0.998432,0.0007029211,0.00019622798,0.00022000688,0.00026158427,0.00018715671],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016820672,0.00047113354,0.000585785,0.0012290517,0.0015855392,0.0016349894,0.000432374,0.0009708946,0.01188348],"category_scores_gemma":[0.004189505,0.00031015213,0.00072014966,0.00097557117,0.0037969293,0.005737543,0.0022590603,0.0018932275,0.0017195777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032486718,0.000026383972,0.00058775657,0.000071589915,0.0000071970285,0.00007792764,0.0003357487,0.0010224456,0.00039100862,0.97803885,0.012179059,0.0072296537],"study_design_scores_gemma":[0.00001047478,0.0000134403945,0.00053231383,0.00003180215,0.0000060110087,0.00007585366,0.00012758911,0.001841595,0.00049475254,0.9819566,0.014894454,0.000015090128],"about_ca_topic_score_codex":0.0013231037,"about_ca_topic_score_gemma":0.00078987196,"teacher_disagreement_score":0.01188348,"about_ca_system_score_codex":0.001095042,"about_ca_system_score_gemma":0.0005414911,"threshold_uncertainty_score":0.039754152},"labels":[],"label_agreement":null},{"id":"W36094809","doi":"10.2196/36288","title":"GROUND STATE $\\tilde{X}^{2} A^{\\prime}$ DYNAMICS OF THE VINYL AND $d_{2}$-VINYL RADICALS UPON EXCITATION TO THE $\\tilde{X}^{2} A^{\\prime\\prime}$ STATE.","year":2003,"lang":"en","type":"article","venue":"JMIR Serious Games","topic":"Advanced Algebra and Geometry","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":"Prime (order theory); Ground state; Excitation; State (computer science); Physics; Chemistry; Atomic physics; Mathematics; Quantum mechanics; Combinatorics; Algorithm","score_opus":0.01176717825880746,"score_gpt":0.2872745151038857,"score_spread":0.2755073368450782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W36094809","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9500314,0.0004085708,0.015311496,0.00041529306,0.00024089018,0.00006344986,0.00039987414,0.0002721606,0.03285679],"genre_scores_gemma":[0.9905252,0.00013601327,0.0019704148,0.00007484993,0.000008462061,0.00003360284,0.00014662177,0.000039935578,0.0070648445],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999403,0.000006366826,0.0000015903847,0.000018058177,0.00000827831,0.000025544141],"domain_scores_gemma":[0.9998791,0.00003820984,0.000025436157,0.000022723674,0.000014985338,0.000019473586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013867236,0.00016978059,0.00013729362,0.00019725705,0.00052930764,0.00039564213,0.0003109551,0.00026664409,0.02895115],"category_scores_gemma":[0.0003179289,0.00010817534,0.00016979224,0.00012713757,0.00044684453,0.0006113368,0.00041153943,0.00056883553,0.00069133],"study_design_candidate":"simulation_or_modeling","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":[0.0015767429,0.00045988348,0.0041053244,0.00045761326,0.00008405474,0.00092836836,0.0018959668,0.0076196436,0.83401036,0.072926626,0.005587992,0.07034744],"study_design_scores_gemma":[0.00014162628,0.002459653,0.024005033,0.0001081885,0.000047594473,0.0010501171,0.0015964898,0.06829607,0.8285883,0.040385995,0.033093408,0.00022746994],"about_ca_topic_score_codex":0.00067476515,"about_ca_topic_score_gemma":0.00090722844,"teacher_disagreement_score":0.02895115,"about_ca_system_score_codex":0.00023098962,"about_ca_system_score_gemma":0.00016877502,"threshold_uncertainty_score":0.09685123},"labels":[],"label_agreement":null},{"id":"W4200365237","doi":"10.4153/s0008414x21000626","title":"Eisenstein metrics","year":2021,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Mathematics; Eisenstein series; Indecomposable module; Pure mathematics; Metric (unit); Algebra over a field; Automorphic form; Modular form","score_opus":0.0474951322974952,"score_gpt":0.29052709714734537,"score_spread":0.24303196484985018,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4200365237","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8944962,0.0011609972,0.04864838,0.0009622045,0.00015297004,0.000031931915,0.00011177246,0.00016179506,0.054273672],"genre_scores_gemma":[0.98820484,0.00030011177,0.0033626573,0.00007446367,0.00008991375,0.000016567148,0.000081186154,0.000041111613,0.007829205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994281,0.00011764072,0.000033386095,0.000102320475,0.00020731015,0.00011120911],"domain_scores_gemma":[0.99919945,0.00015436028,0.0001664196,0.000089301706,0.0001706818,0.00021978495],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005992065,0.00054130715,0.0005326492,0.0021748885,0.0011847775,0.0012920174,0.00051400595,0.0008104638,0.0035180904],"category_scores_gemma":[0.002830747,0.00022717504,0.00033861946,0.00073205365,0.0018373136,0.002439422,0.0013167692,0.0006558169,0.00035430933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013172259,0.00001309338,0.0014685149,0.000023199045,0.000008985116,0.0003240839,0.00023149066,0.0019521931,0.0029386801,0.98801863,0.00064332894,0.004364656],"study_design_scores_gemma":[0.000016528418,0.00005549508,0.004048849,0.000039086157,0.000010822351,0.0012014535,0.00027593403,0.025830274,0.0020875493,0.9605431,0.0058612972,0.000029500121],"about_ca_topic_score_codex":0.00091130513,"about_ca_topic_score_gemma":0.0006345133,"teacher_disagreement_score":0.0035180904,"about_ca_system_score_codex":0.0010839216,"about_ca_system_score_gemma":0.0003169493,"threshold_uncertainty_score":0.011769235},"labels":[],"label_agreement":null},{"id":"W4205233585","doi":"10.1090/spmj/1690","title":"Twisted quadratic foldings of root systems","year":2022,"lang":"en","type":"article","venue":"Cineca Institutional Research Information System (Tor Vergata University)","topic":"Advanced Algebra and Geometry","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 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; Algorithm; Cohomology; Type (biology); Computer science; Pure mathematics","score_opus":0.09998083102821376,"score_gpt":0.32333224842964836,"score_spread":0.2233514174014346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4205233585","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8955393,0.0002847975,0.061281733,0.00021169621,0.0002093592,0.000029984649,0.00008396099,0.00040284178,0.041956306],"genre_scores_gemma":[0.98207575,0.0001167225,0.005760771,0.00005178334,0.000045731555,0.000010783815,0.00006112052,0.000106725565,0.011770541],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999741,0.000046391684,0.000012052225,0.000064910535,0.00006284203,0.00007279396],"domain_scores_gemma":[0.9996644,0.000054732118,0.0000517123,0.00008660684,0.000058312005,0.00008429923],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020731441,0.00027526022,0.0002456143,0.000732108,0.0008669916,0.0011125894,0.00027857834,0.00036862143,0.0074974974],"category_scores_gemma":[0.0007972274,0.00023169305,0.00037485085,0.0003597843,0.0011694685,0.0016262308,0.0011437393,0.00073016825,0.0008951601],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000911276,0.000040969502,0.002636802,0.00006146217,0.000013387272,0.0012791463,0.0011363451,0.003746997,0.021515666,0.9414737,0.001116186,0.026888248],"study_design_scores_gemma":[0.000023093637,0.00014751813,0.0036055157,0.000041859148,0.000016602613,0.0016150504,0.0009363874,0.018726753,0.014022397,0.94649166,0.014336828,0.00003638531],"about_ca_topic_score_codex":0.00027115332,"about_ca_topic_score_gemma":0.00032520603,"teacher_disagreement_score":0.0074974974,"about_ca_system_score_codex":0.00042219544,"about_ca_system_score_gemma":0.00015762838,"threshold_uncertainty_score":0.025081575},"labels":[],"label_agreement":null},{"id":"W4206801623","doi":"10.1017/fms.2021.72","title":"Finiteness properties of the category of mod <i>p</i> representations of","year":2021,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Advanced Algebra and Geometry","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":"Universität Duisburg-Essen; Academia Sinica","keywords":"Mod; Mathematics; Conjecture; Combinatorics; Type (biology); Algebra over a field; Pure mathematics","score_opus":0.04498936751866221,"score_gpt":0.287108367613846,"score_spread":0.24211900009518378,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4206801623","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.762017,0.0011761993,0.10305662,0.0025912144,0.0003323847,0.000059242335,0.00037214297,0.00047681722,0.12991837],"genre_scores_gemma":[0.98773986,0.00028938957,0.0036815798,0.00034181646,0.00018200088,0.00003711336,0.00024486292,0.000076872144,0.007406501],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851424,0.00021781136,0.000055121625,0.00040317443,0.000410678,0.00039904998],"domain_scores_gemma":[0.99705863,0.0010208116,0.00033433936,0.0003315794,0.0005071193,0.0007475093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014435037,0.0004952191,0.00083207944,0.0026415775,0.0022622342,0.0042901714,0.0015719366,0.0011903935,0.006706007],"category_scores_gemma":[0.0034221606,0.000528592,0.0011826397,0.0011829253,0.0059855785,0.006434882,0.004596422,0.0027230305,0.00073038193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021481697,0.000011215888,0.0003503019,0.000020736617,0.0000045118873,0.000063801745,0.00038450086,0.00017259887,0.0008131833,0.99598074,0.00032523018,0.0018518391],"study_design_scores_gemma":[0.00001911998,0.000049060473,0.0009443582,0.000025892457,0.00001054383,0.00027816847,0.0003068316,0.0026203517,0.001602426,0.9904953,0.0036149337,0.000033030563],"about_ca_topic_score_codex":0.0026082974,"about_ca_topic_score_gemma":0.00079705415,"teacher_disagreement_score":0.006706007,"about_ca_system_score_codex":0.0026259255,"about_ca_system_score_gemma":0.00069649715,"threshold_uncertainty_score":0.022433817},"labels":[],"label_agreement":null},{"id":"W4207009175","doi":"10.1017/s0004972721000927","title":"COUNTING HECKE EIGENFORMS WITH NONVANISHING -VALUE","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Council of Scientific and Industrial Research, India","keywords":"Mathematics; Kernel (algebra); Value (mathematics); Statistics; Pure mathematics","score_opus":0.02691995270906018,"score_gpt":0.27481506125492566,"score_spread":0.2478951085458655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4207009175","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9164896,0.0002265877,0.07494507,0.00016819051,0.00006890489,0.00003127257,0.00005660966,0.00021876034,0.007794916],"genre_scores_gemma":[0.9894174,0.00011660207,0.007715244,0.000029665563,0.00006574253,0.00003880034,0.000085947955,0.00005007026,0.0024805234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988644,0.00028687852,0.00008037573,0.00020966835,0.000350464,0.0002082779],"domain_scores_gemma":[0.99427706,0.0026177152,0.0007786026,0.0007576438,0.0007955926,0.00077341445],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027218563,0.00065819226,0.00085709465,0.005306675,0.0011788281,0.002593323,0.0019420108,0.0011632169,0.0038812123],"category_scores_gemma":[0.017158074,0.00063077617,0.0006240321,0.0014335029,0.0048833103,0.004846095,0.0023249325,0.0011855238,0.00044544917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003840971,0.000249382,0.01991912,0.00020324985,0.000041423977,0.0009837261,0.0011001964,0.01333169,0.031583294,0.91474843,0.00090632826,0.01654915],"study_design_scores_gemma":[0.0000596358,0.00019065972,0.013162788,0.0001243072,0.000049523245,0.002074432,0.000685088,0.26552573,0.025155593,0.69036525,0.0024637016,0.00014325051],"about_ca_topic_score_codex":0.0005276036,"about_ca_topic_score_gemma":0.00040842957,"teacher_disagreement_score":0.005306675,"about_ca_system_score_codex":0.0013564586,"about_ca_system_score_gemma":0.00045540227,"threshold_uncertainty_score":0.01439476},"labels":[],"label_agreement":null},{"id":"W4211099063","doi":"10.2140/ant.2021.15.2403","title":"Remarks on generating series for special cycles on orthogonal Shimura varieties","year":2021,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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":"Mathematics; Shimura variety; Modular form; Codimension; Series (stratigraphy); Pure mathematics; Signature (topology); Combinatorics; Cohomology; Algebraic cycle; TRACE (psycholinguistics); Group (periodic table); Conjecture; Algebraic number; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.024372298134170575,"score_gpt":0.30625802644821487,"score_spread":0.2818857283140443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4211099063","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84348553,0.0010265784,0.05565219,0.0030173247,0.00039196693,0.00004001669,0.00017504963,0.00030160559,0.09590966],"genre_scores_gemma":[0.9852297,0.00043695347,0.004935863,0.00019723889,0.00033412914,0.000024469819,0.000095681506,0.00004046691,0.008705547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999711,0.00006187486,0.0000141612645,0.000059337308,0.000093930976,0.00005969568],"domain_scores_gemma":[0.9992914,0.00028012242,0.00012633333,0.000081440536,0.00008617016,0.0001344297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008560683,0.00053909415,0.0004095505,0.0014271737,0.0009594653,0.0010675834,0.0006326389,0.00047718795,0.0072973347],"category_scores_gemma":[0.00186366,0.00018804308,0.00055815506,0.0005510844,0.001566266,0.0018557602,0.0013562087,0.0009306131,0.0004214855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004431072,0.000026147065,0.0015974893,0.000037397193,0.0000054666652,0.00031573072,0.0004583298,0.0014996922,0.002055639,0.9857314,0.0010747305,0.007153618],"study_design_scores_gemma":[0.000025107294,0.00008720746,0.0026333584,0.00003207819,0.000011836491,0.00051472185,0.00028905997,0.011748738,0.0031618432,0.97253674,0.00893599,0.000023307044],"about_ca_topic_score_codex":0.00045003986,"about_ca_topic_score_gemma":0.00038045735,"teacher_disagreement_score":0.0072973347,"about_ca_system_score_codex":0.00052978215,"about_ca_system_score_gemma":0.00016687588,"threshold_uncertainty_score":0.024412036},"labels":[],"label_agreement":null},{"id":"W4214867850","doi":"10.1090/crmp/035/14","title":"Commutativity of weakly commutative Riemannian homogeneous spaces","year":2004,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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":"Commutative property; Pure mathematics; Homogeneous; Mathematics; Combinatorics","score_opus":0.030667177559909654,"score_gpt":0.291518437220899,"score_spread":0.2608512596609893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4214867850","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40426862,0.006828242,0.22198324,0.0020229695,0.00082679425,0.000080158075,0.0004591201,0.00039174216,0.363139],"genre_scores_gemma":[0.9074427,0.0027005859,0.018054077,0.00042045838,0.0006588558,0.00013271747,0.00032919075,0.00012661985,0.07013474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993125,0.00020280191,0.000049416733,0.00016167792,0.00018808288,0.000085407104],"domain_scores_gemma":[0.99916685,0.00031557557,0.000075533484,0.00012713892,0.0002060632,0.000108910004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011781203,0.00044701574,0.0005872407,0.00089021743,0.0012395178,0.0021665744,0.0005227649,0.00045721393,0.004723262],"category_scores_gemma":[0.0013282261,0.00038940614,0.00055803487,0.0007450872,0.0027617207,0.003435674,0.0015316367,0.0013091923,0.0007123343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010023236,0.0000057857,0.00008499195,0.000019826204,0.0000052157006,0.000025128053,0.00034755046,0.0000927482,0.0009700292,0.995682,0.00075312087,0.0020035456],"study_design_scores_gemma":[0.000007431595,0.000021454502,0.00045804688,0.0000086507625,0.00000970739,0.00010563207,0.00016004484,0.00081123534,0.0010352501,0.9886972,0.008677216,0.000008255615],"about_ca_topic_score_codex":0.0008382581,"about_ca_topic_score_gemma":0.0007241985,"teacher_disagreement_score":0.004723262,"about_ca_system_score_codex":0.00074581575,"about_ca_system_score_gemma":0.00049781194,"threshold_uncertainty_score":0.015800834},"labels":[],"label_agreement":null},{"id":"W4214906301","doi":"10.1515/forum-2020-0251","title":"The Shintani double zeta functions","year":2022,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dirichlet series; Selberg trace formula; Analytic number theory; Pure mathematics; Dirichlet distribution; TRACE (psycholinguistics); Class number formula; Riemann zeta function; Functional equation; Arithmetic zeta function; Symplectic geometry; Dirichlet eta function; General Dirichlet series; Mathematical analysis; Differential equation","score_opus":0.03215591388491812,"score_gpt":0.29860190233929934,"score_spread":0.2664459884543812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4214906301","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74148107,0.0012136165,0.16946507,0.0008838102,0.00040479912,0.000043806824,0.000078302255,0.00024934387,0.0861802],"genre_scores_gemma":[0.98239917,0.0004140565,0.00713532,0.00006998681,0.00016598619,0.00002221754,0.000041129395,0.000058581776,0.009693647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998084,0.000025590902,0.000012360856,0.000040102106,0.000073380266,0.000040129653],"domain_scores_gemma":[0.99965405,0.000051801548,0.000046334237,0.000044608227,0.00011115281,0.000092018236],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005031396,0.0005720837,0.0005428422,0.0024025205,0.0008698587,0.0014955071,0.0007679511,0.0005526161,0.0045545613],"category_scores_gemma":[0.0018121094,0.00020769172,0.0004342017,0.0006866378,0.0018561523,0.0027890163,0.0011026227,0.0010616007,0.00061466935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000264462,0.000019087742,0.0009448497,0.000051146373,0.000007182719,0.00034880365,0.00022993592,0.0021911792,0.00509464,0.9801221,0.000535404,0.010429314],"study_design_scores_gemma":[0.00001606115,0.000041679006,0.0022652294,0.00007077084,0.000016252738,0.0012569478,0.00041217502,0.046605676,0.006594533,0.93397576,0.008705041,0.00003999182],"about_ca_topic_score_codex":0.0004230296,"about_ca_topic_score_gemma":0.00037351012,"teacher_disagreement_score":0.0045545613,"about_ca_system_score_codex":0.00075301836,"about_ca_system_score_gemma":0.00038306348,"threshold_uncertainty_score":0.0152365565},"labels":[],"label_agreement":null},{"id":"W4220704089","doi":"10.1515/forum-2021-0075","title":"On the subring of special cycles","year":2022,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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":"Subring; Mathematics; Cohomology; Pure mathematics; Series (stratigraphy); Modular form; Shimura variety; Algebra over a field; Combinatorics; Ring (chemistry)","score_opus":0.03233166132569935,"score_gpt":0.286360392843171,"score_spread":0.25402873151747163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4220704089","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95703095,0.0006139515,0.010469624,0.00018958084,0.000080196914,0.000029100987,0.00005750051,0.00013969766,0.031389274],"genre_scores_gemma":[0.989075,0.00021559685,0.002378146,0.000057687655,0.00007883689,0.000013904701,0.00008056273,0.000037070007,0.008063183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993376,0.00010269685,0.000040472256,0.00015760199,0.0001987431,0.0001628806],"domain_scores_gemma":[0.999348,0.00009318571,0.0001290661,0.00010885165,0.00010613793,0.00021476467],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005485647,0.0004175977,0.0005105557,0.001727027,0.0012245207,0.0020350155,0.00027872555,0.00025237555,0.005205433],"category_scores_gemma":[0.0010194654,0.0002801586,0.0005909999,0.00065486884,0.0017657452,0.00207116,0.0017984248,0.0006177091,0.00049752166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014762355,0.000060231436,0.0031679457,0.00006295187,0.00002532299,0.0010117856,0.0012344135,0.00082835014,0.013459493,0.9532731,0.0011586791,0.025569962],"study_design_scores_gemma":[0.00005039436,0.00034120062,0.010502641,0.00006349403,0.00006880194,0.0024232296,0.0014777363,0.009620837,0.022606773,0.91765475,0.035112616,0.00007749773],"about_ca_topic_score_codex":0.00074259454,"about_ca_topic_score_gemma":0.0005861421,"teacher_disagreement_score":0.005205433,"about_ca_system_score_codex":0.00084694446,"about_ca_system_score_gemma":0.0003305338,"threshold_uncertainty_score":0.017413855},"labels":[],"label_agreement":null},{"id":"W4220921284","doi":"10.4153/s0008414x22000104","title":"Mixed Witt rings of algebras with involution","year":2022,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Vlaamse regering; Fonds Wetenschappelijk Onderzoek; Isaac Newton Institute for Mathematical Sciences; Simons Foundation","keywords":"Mathematics; Pure mathematics; Functor; Hermitian matrix; Morita equivalence; Bilinear form; Sesquilinear form; Algebra over a field","score_opus":0.03678375061988565,"score_gpt":0.24247793825103406,"score_spread":0.2056941876311484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4220921284","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7883221,0.0005562519,0.1632599,0.00031662118,0.00012509988,0.0000685117,0.00019076637,0.00041189545,0.04674899],"genre_scores_gemma":[0.97568715,0.00012045908,0.01547604,0.00006266923,0.00008629183,0.000028982366,0.00010002088,0.00004958112,0.008388762],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908435,0.00018577639,0.00006604475,0.00016962415,0.00031596472,0.00017816309],"domain_scores_gemma":[0.9990932,0.00015695288,0.00018379636,0.00016855265,0.00017797854,0.0002195898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010992425,0.00035916848,0.00035948108,0.0011332931,0.0007209899,0.0018274271,0.00056077034,0.00029541357,0.0036812064],"category_scores_gemma":[0.0010912415,0.00029551866,0.00057506043,0.0005917357,0.001710458,0.003909496,0.0016821065,0.00070392113,0.0005622563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000062877996,0.000027621378,0.00070099893,0.000039611707,0.000019932857,0.00024939387,0.00039943733,0.001192482,0.008106808,0.9817598,0.000333775,0.0071073575],"study_design_scores_gemma":[0.000043125787,0.00024750573,0.0026739405,0.000033041862,0.000046308094,0.0010907954,0.00047576986,0.0145992255,0.025435407,0.9399422,0.015343753,0.000068879664],"about_ca_topic_score_codex":0.0002662026,"about_ca_topic_score_gemma":0.00026163968,"teacher_disagreement_score":0.0036812064,"about_ca_system_score_codex":0.0005643282,"about_ca_system_score_gemma":0.0002513334,"threshold_uncertainty_score":0.012314856},"labels":[],"label_agreement":null},{"id":"W4221029657","doi":"10.1090/memo/1353","title":"Arthur packets for 𝑝-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples","year":2022,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Calgary; University of Lethbridge","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Mathematisches Forschungsinstitut Oberwolfach; University of Calgary","keywords":"Pure mathematics; Mathematical economics; Mathematics; Algebra over a field","score_opus":0.019102376944674843,"score_gpt":0.26960351469083704,"score_spread":0.25050113774616223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221029657","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49669227,0.0020404132,0.30865377,0.0020133853,0.00037704114,0.0001981858,0.00021302866,0.0005413623,0.1892706],"genre_scores_gemma":[0.9534972,0.0006727394,0.023778178,0.00016208242,0.0001614861,0.00009914819,0.00008954157,0.0001127389,0.02142676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949646,0.000115231705,0.000025033129,0.000073607196,0.00019279616,0.000096822405],"domain_scores_gemma":[0.9997142,0.00007995119,0.000042833086,0.00003966172,0.00005254445,0.00007077468],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005480609,0.00070954155,0.00030888533,0.0023466898,0.0012084905,0.0033632,0.00063343387,0.00066630245,0.00408885],"category_scores_gemma":[0.001151087,0.0002697691,0.00055804575,0.0009908066,0.00347351,0.0037655374,0.0021974747,0.0015035169,0.0005435639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000042638044,0.000004986452,0.00015312416,0.0000089098685,0.0000015628264,0.00005587334,0.00031298184,0.00014168814,0.00033124405,0.99655956,0.00018297552,0.0022428425],"study_design_scores_gemma":[0.00001090293,0.00003451692,0.0005392447,0.00001974051,0.0000097369475,0.0003563498,0.0005747334,0.004071094,0.001411782,0.9727525,0.02020313,0.000016317583],"about_ca_topic_score_codex":0.0007718564,"about_ca_topic_score_gemma":0.00039798595,"teacher_disagreement_score":0.00408885,"about_ca_system_score_codex":0.0010686528,"about_ca_system_score_gemma":0.00039283806,"threshold_uncertainty_score":0.013678551},"labels":[],"label_agreement":null},{"id":"W4221160394","doi":"10.48550/arxiv.2203.10436","title":"Refinements of strong multiplicity one for $\\mathrm{GL}(2)$","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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 Lethbridge","keywords":"Pi; Lambda; Twist; Combinatorics; Mathematics; Dirichlet distribution; Algebraic number field; Zero (linguistics); Physics; Mathematical analysis; Geometry; Quantum mechanics","score_opus":0.22666637546268256,"score_gpt":0.2644401972309166,"score_spread":0.037773821768234045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221160394","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77524346,0.00041189513,0.12569605,0.0010264837,0.0004474876,0.00012265013,0.00039687724,0.0011403965,0.09551463],"genre_scores_gemma":[0.9703395,0.00012623282,0.013878541,0.0002818283,0.00016840875,0.0000918853,0.0002874653,0.00026520176,0.014560935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984469,0.0002451551,0.00007711852,0.00035866507,0.00046604188,0.00040609608],"domain_scores_gemma":[0.9973501,0.0008248163,0.00031842745,0.0005816836,0.00034306454,0.00058201456],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012384428,0.0007898314,0.00091996166,0.0017537929,0.002600473,0.0022805594,0.0011869984,0.00090759987,0.011217693],"category_scores_gemma":[0.0061313384,0.000507489,0.0012816595,0.0005391753,0.0037201408,0.0029916298,0.0033357432,0.0032966468,0.0015102603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002110785,0.000049780214,0.0015941956,0.000053835975,0.000009316356,0.00017697328,0.00032341134,0.0010118679,0.0046814075,0.9831654,0.0014078438,0.0073148077],"study_design_scores_gemma":[0.00008319011,0.00016915568,0.0038152067,0.00005840782,0.000032651125,0.00070363475,0.00025589557,0.023661984,0.009318531,0.9538114,0.008004601,0.000085408705],"about_ca_topic_score_codex":0.0011489728,"about_ca_topic_score_gemma":0.0014092689,"teacher_disagreement_score":0.011217693,"about_ca_system_score_codex":0.001358636,"about_ca_system_score_gemma":0.00073470204,"threshold_uncertainty_score":0.037526906},"labels":[],"label_agreement":null},{"id":"W4223545689","doi":"10.48550/arxiv.2204.05163","title":"Tempered currents and Deligne cohomology of Shimura varieties, with an application to $\\mathrm{GSp}_6$","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Agence Nationale de la Recherche; Japan Society for the Promotion of Science; European Commission; Instituto de Ciencias Matemáticas","keywords":"Mathematics; Cohomology; Pure mathematics; Shimura variety; Motivic cohomology; Computation; Variety (cybernetics); Degree (music); Algebra over a field; Equivariant cohomology; De Rham cohomology; Physics; Modular form; Algorithm; Statistics","score_opus":0.07096519412122448,"score_gpt":0.23991643311244562,"score_spread":0.16895123899122114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4223545689","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73261684,0.002044165,0.17114143,0.0015276319,0.00053885346,0.00006913096,0.00017463589,0.0004920552,0.09139525],"genre_scores_gemma":[0.97142774,0.0005575777,0.01352051,0.00011687453,0.00030561566,0.000028049244,0.00008057496,0.00008249243,0.013880531],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986494,0.00002373553,0.000007490237,0.00003649498,0.000036726182,0.000030558665],"domain_scores_gemma":[0.9997944,0.000032234948,0.000036208592,0.00002687391,0.000033854987,0.000076348115],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003690576,0.0005701885,0.000437259,0.0023195457,0.0008046926,0.001691288,0.000492876,0.00037694498,0.005896738],"category_scores_gemma":[0.0008476558,0.00021108723,0.00054189307,0.0007728412,0.0018472484,0.0025451146,0.0015160281,0.0011557076,0.00060737046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002311996,0.000028631492,0.0011468363,0.000033183507,0.000010784713,0.00018116622,0.00035844411,0.0021893631,0.0033944058,0.98096883,0.0007990403,0.010866123],"study_design_scores_gemma":[0.000014403695,0.000058537877,0.0017930613,0.000027477261,0.000015506053,0.00039093065,0.00022372465,0.025740651,0.0029146895,0.96141165,0.0073829005,0.000026411471],"about_ca_topic_score_codex":0.00050162186,"about_ca_topic_score_gemma":0.000496925,"teacher_disagreement_score":0.005896738,"about_ca_system_score_codex":0.0006651516,"about_ca_system_score_gemma":0.0002464809,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W4224253977","doi":"10.21203/rs.3.rs-1572721/v1","title":"WITHDRAWN: Deep Learning Based CSI Feedback for Massive MIMO Aided IoT Networks with Edge Computing","year":2022,"lang":"en","type":"preprint","venue":"Research Square","topic":"Advanced Algebra and Geometry","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":"Huawei Technologies (Canada)","funders":"","keywords":"Affine transformation; Uncountable set; Construct (python library); Mathematics; Covariant transformation; Transfinite number; Enhanced Data Rates for GSM Evolution; Pure mathematics; Algebra over a field; Discrete mathematics; Computer science; Artificial intelligence; Geometry; Countable set","score_opus":0.06941184361423411,"score_gpt":0.40127277871479994,"score_spread":0.3318609351005658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4224253977","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.018341545,0.004583288,0.83734655,0.028594602,0.022780465,0.0003886148,0.010599445,0.012091597,0.06527388],"genre_scores_gemma":[0.5231239,0.004904319,0.2419038,0.007312377,0.00973213,0.00037074165,0.013249127,0.0030061253,0.1963975],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99936086,0.00013394775,0.000028725699,0.00011711331,0.00029992475,0.000059403024],"domain_scores_gemma":[0.9986895,0.0003819671,0.00004304708,0.0002227902,0.00052647654,0.00013627154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010511932,0.0014101027,0.0007321837,0.00068851985,0.00078906777,0.0015571875,0.0015112896,0.0014594656,0.039747033],"category_scores_gemma":[0.004916157,0.00041510226,0.00039400786,0.0008475217,0.00076244137,0.0025889247,0.001992374,0.0024199295,0.011739732],"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":[0.0011394611,0.00016169103,0.0007971944,0.0006266956,0.00015520577,0.00035783238,0.00013091667,0.046685476,0.015064369,0.0871273,0.54955983,0.29819402],"study_design_scores_gemma":[0.00030764504,0.00037086115,0.0007732315,0.00016928493,0.00006819629,0.00049256335,0.000090452224,0.60722303,0.03487441,0.18337503,0.1721314,0.00012387063],"about_ca_topic_score_codex":0.0028387506,"about_ca_topic_score_gemma":0.003440508,"teacher_disagreement_score":0.039747033,"about_ca_system_score_codex":0.00082332065,"about_ca_system_score_gemma":0.0012753627,"threshold_uncertainty_score":0.13296705},"labels":[],"label_agreement":null},{"id":"W4224570755","doi":"10.1112/s0010437x2200731x","title":"Big principal series, -adic families and -invariants","year":2022,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"","keywords":"Mathematics; Automorphic form; Modular form; Pure mathematics; Invariant (physics); Conjecture; Automorphic L-function; Number theory; Series (stratigraphy); Rank (graph theory); Algebra over a field; Combinatorics","score_opus":0.03467915151652334,"score_gpt":0.2779591910309061,"score_spread":0.24328003951438276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4224570755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7943632,0.0017144912,0.12802508,0.00093031034,0.00022443796,0.000036804908,0.00013696791,0.0003033152,0.07426539],"genre_scores_gemma":[0.98873633,0.00022410399,0.006142734,0.000058586487,0.000093790106,0.000009529447,0.000039748127,0.000031323638,0.004663821],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966836,0.00006494638,0.000014520906,0.00009004485,0.00008864385,0.00007347362],"domain_scores_gemma":[0.99938166,0.00016915034,0.00013839541,0.00009706904,0.00006560094,0.00014799312],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006221721,0.0006272885,0.00041511748,0.0016262819,0.0012306935,0.0016926724,0.0006200428,0.00063128676,0.004369307],"category_scores_gemma":[0.0012307257,0.00023220236,0.0005994519,0.0008186825,0.0033688885,0.003729353,0.0015041685,0.0015474211,0.00031448173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019205392,0.000012732715,0.00046555573,0.000022743761,0.0000045576794,0.00011333553,0.00019490362,0.0006367742,0.00093855656,0.99291056,0.00022018407,0.0044608396],"study_design_scores_gemma":[0.000009623379,0.000035702644,0.00095153647,0.000015216417,0.0000059319304,0.0002977311,0.0001381758,0.0054369424,0.0022184255,0.9877308,0.0031411771,0.00001872901],"about_ca_topic_score_codex":0.0004028929,"about_ca_topic_score_gemma":0.00026625593,"teacher_disagreement_score":0.004369307,"about_ca_system_score_codex":0.0009834409,"about_ca_system_score_gemma":0.00021476093,"threshold_uncertainty_score":0.014616847},"labels":[],"label_agreement":null},{"id":"W4230766887","doi":"10.1023/a:1016512717269","title":"On Group-Divisible Designs with Block Size Four and Group-Type gum1","year":2002,"lang":"en","type":"article","venue":"Designs Codes and Cryptography","topic":"Advanced Algebra and Geometry","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":"Memorial University of Newfoundland","funders":"Suzhou University","keywords":"Value (mathematics); Mathematics; Spectrum (functional analysis); Physics; Combinatorics; Statistics; Quantum mechanics","score_opus":0.059694347676069924,"score_gpt":0.265416555905958,"score_spread":0.20572220822988804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230766887","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45833638,0.0019531283,0.39703155,0.0034365635,0.0006868406,0.00018343909,0.0003843166,0.0005725143,0.13741527],"genre_scores_gemma":[0.9132457,0.0011886474,0.051721048,0.0007524617,0.00054048,0.00019812092,0.0002241329,0.0001412171,0.03198822],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981178,0.0007452709,0.00007886924,0.00021231145,0.00051333563,0.0003324426],"domain_scores_gemma":[0.99340504,0.0039437623,0.00093526626,0.0008251713,0.0005349038,0.00035584086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002252937,0.0011805681,0.0011270918,0.0021307475,0.0021926234,0.0023273074,0.0010577171,0.0019403526,0.00651987],"category_scores_gemma":[0.010467303,0.0008256945,0.0007755436,0.0022139056,0.004078194,0.0037819385,0.0030352497,0.0025279603,0.0010958919],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011487801,0.000014593975,0.00016797251,0.00003084322,0.000005597092,0.00005144752,0.00017812058,0.0026446255,0.0006401282,0.98888075,0.0010804519,0.0061906883],"study_design_scores_gemma":[0.000037390797,0.000054283573,0.00009321478,0.000026281206,0.000008741404,0.000097992524,0.000050605817,0.011883849,0.0008475251,0.98417467,0.0027045785,0.0000208838],"about_ca_topic_score_codex":0.0007847714,"about_ca_topic_score_gemma":0.00069113827,"teacher_disagreement_score":0.00651987,"about_ca_system_score_codex":0.0019098496,"about_ca_system_score_gemma":0.0012985027,"threshold_uncertainty_score":0.021811187},"labels":[],"label_agreement":null},{"id":"W4231424788","doi":"10.22215/etd/2014-10202","title":"Component Groups of Centralizers Corresponding to Unramified L-Packets","year":2014,"lang":"en","type":"dissertation","venue":"","topic":"Advanced Algebra and Geometry","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":"Component (thermodynamics); Centralizer and normalizer; Mathematics; Group (periodic table); Connected component; Pure mathematics; Simple (philosophy); Cardinality (data modeling); Algebra over a field; Discrete mathematics; Computer science; Physics","score_opus":0.02946401571137432,"score_gpt":0.3382055891245533,"score_spread":0.308741573413179,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4231424788","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94013053,0.00015803702,0.03569481,0.00014396558,0.000067119945,0.00006223964,0.00018317757,0.00023111275,0.023328913],"genre_scores_gemma":[0.98505396,0.00012392584,0.0076143015,0.000034318284,0.00006647718,0.00005652557,0.00021497748,0.00008608228,0.0067494884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967766,0.000048498983,0.00001865727,0.000065164,0.000076113996,0.00011386012],"domain_scores_gemma":[0.99905974,0.0002822615,0.00019304708,0.00011710683,0.00013893856,0.0002088555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003635109,0.000494368,0.00040184252,0.002147319,0.0007109342,0.0023333202,0.00049324613,0.0003385549,0.006734079],"category_scores_gemma":[0.0016040036,0.0002333073,0.00047299822,0.00079546764,0.0021137965,0.003023419,0.0019665556,0.00082435453,0.00087023975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026568596,0.00004977715,0.0026210938,0.000083729465,0.000017563189,0.00024262237,0.0011533241,0.0013101476,0.01215891,0.96906763,0.00085866614,0.012170819],"study_design_scores_gemma":[0.000076050004,0.00014641277,0.0044951653,0.000046518413,0.000053206004,0.00042306184,0.0015154278,0.012797914,0.03957567,0.9330576,0.007762576,0.000050402687],"about_ca_topic_score_codex":0.0004037093,"about_ca_topic_score_gemma":0.00036429195,"teacher_disagreement_score":0.006734079,"about_ca_system_score_codex":0.00082807994,"about_ca_system_score_gemma":0.00038578804,"threshold_uncertainty_score":0.022527695},"labels":[],"label_agreement":null},{"id":"W4232952141","doi":"10.1007/978-981-10-2651-5_6","title":"Modular Forms of Higher Level","year":2016,"lang":"en","type":"book-chapter","venue":"HBA lecture notes in mathematics","topic":"Advanced Algebra and Geometry","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":"Congruence (geometry); Congruence subgroup; Mathematics; Modular design; Recall; Combinatorics; Plane (geometry); Physics; Computer science; Geometry; Psychology; Cognitive psychology; Operating system","score_opus":0.05237030633366467,"score_gpt":0.3017302945007477,"score_spread":0.249359988167083,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4232952141","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.103383645,0.003696951,0.089565925,0.0024497865,0.0017139183,0.00006940555,0.00029226512,0.00054230436,0.7982858],"genre_scores_gemma":[0.64072436,0.003505013,0.022643689,0.0008410214,0.0028774259,0.00012635086,0.00043201091,0.0006142309,0.32823592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999463,0.00012096361,0.000023931856,0.000078546655,0.00021603308,0.00009751806],"domain_scores_gemma":[0.99969864,0.00005405378,0.000040259984,0.000073287105,0.000069136164,0.000064672124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006196848,0.0011760477,0.0006759546,0.002500495,0.0012636026,0.0032867314,0.0008161472,0.00083129527,0.014137978],"category_scores_gemma":[0.0012210546,0.00047212144,0.00072379346,0.0015237958,0.0026866691,0.0037373034,0.0023919197,0.0025977485,0.0040450315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000051408647,0.000005664948,0.000026551392,0.000014225035,0.0000024634353,0.000015187768,0.00011391011,0.000089554145,0.0002981141,0.9928012,0.001672681,0.0049554133],"study_design_scores_gemma":[0.0000056889,0.000007647225,0.000104621664,0.0000137388415,0.000003873755,0.000091741545,0.00003664771,0.0006110763,0.0002841171,0.9799313,0.018902864,0.0000068089294],"about_ca_topic_score_codex":0.0003187991,"about_ca_topic_score_gemma":0.00037414485,"teacher_disagreement_score":0.014137978,"about_ca_system_score_codex":0.0012982534,"about_ca_system_score_gemma":0.0005199983,"threshold_uncertainty_score":0.047296286},"labels":[],"label_agreement":null},{"id":"W4235673956","doi":"10.1090/crmp/028/04","title":"Compactifications of symmetric spaces and positive eigenfunctions of the Laplacian","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Eigenfunction; Pure mathematics; Laplace operator; Mathematics; Mathematical analysis; Physics; Eigenvalues and eigenvectors; Quantum mechanics","score_opus":0.02900814801372103,"score_gpt":0.26961630125903735,"score_spread":0.24060815324531631,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235673956","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3516325,0.0077491915,0.12295815,0.0051795263,0.0023357156,0.000061000635,0.00025183108,0.0003591671,0.50947297],"genre_scores_gemma":[0.87003124,0.00277237,0.017464392,0.00065197033,0.002087289,0.00007513617,0.00021233824,0.00018944129,0.10651577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976665,0.00007222947,0.00001534031,0.000041265077,0.000073745716,0.000030733816],"domain_scores_gemma":[0.9996164,0.00010835427,0.000058735717,0.00007684581,0.000056128167,0.000083476065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005056146,0.0009807377,0.00065588474,0.0011244686,0.0011788101,0.0029342333,0.0008360935,0.0010525179,0.0064040213],"category_scores_gemma":[0.0009364679,0.00042825766,0.0006146456,0.00059545075,0.0026001711,0.0048171054,0.0013797133,0.0022463794,0.00086040533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040490136,0.0000056910244,0.0000115367775,0.0000075951884,0.0000014446789,0.000019943918,0.00007176139,0.0001228302,0.00039195595,0.9978393,0.00055015984,0.00097364874],"study_design_scores_gemma":[0.00000524319,0.000006999789,0.000053100946,0.000004019625,0.0000014964011,0.00006180619,0.000049067934,0.00086355774,0.00013727859,0.99685246,0.0019622652,0.0000028220948],"about_ca_topic_score_codex":0.00032068937,"about_ca_topic_score_gemma":0.00038454845,"teacher_disagreement_score":0.0064040213,"about_ca_system_score_codex":0.0007808699,"about_ca_system_score_gemma":0.0003565766,"threshold_uncertainty_score":0.021423578},"labels":[],"label_agreement":null},{"id":"W4235769390","doi":"10.4171/owr/2010/51","title":"Infinite Dimensional Lie Theory","year":2011,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Advanced Algebra and Geometry","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":"Lie theory; Mathematics; Fundamental representation; Representation of a Lie group; Simple Lie group; Pure mathematics; Adjoint representation of a Lie algebra; Representation theory; Lie group; Killing form; Algebra over a field; Lie conformal algebra; Adjoint representation; Affine Lie algebra; Real form; Lie algebra; Weight; Current algebra","score_opus":0.06833910671136102,"score_gpt":0.2891185342828318,"score_spread":0.2207794275714708,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235769390","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05002008,0.08996059,0.067285195,0.044671156,0.009586976,0.00004583989,0.0005825354,0.00040837054,0.7374393],"genre_scores_gemma":[0.5202136,0.040282816,0.019291041,0.005653662,0.00762767,0.00011454858,0.0007504578,0.00021198482,0.4058542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960333,0.00012902314,0.000015054088,0.00005992219,0.00013459241,0.000058249534],"domain_scores_gemma":[0.99976987,0.000062476814,0.000013377445,0.000031410946,0.000065685526,0.00005718217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008520258,0.00043282929,0.00036994548,0.00058873533,0.0009714326,0.0020940148,0.00042794197,0.0008436912,0.007929827],"category_scores_gemma":[0.00082070206,0.0001584196,0.0004053674,0.0005625825,0.0013042749,0.0021742687,0.0012613173,0.0018314212,0.0018866225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000062490008,0.000004721836,0.00005376395,0.000036226145,0.000005059765,0.000031889533,0.00017921437,0.0002965388,0.00049459276,0.97177535,0.018164469,0.008951904],"study_design_scores_gemma":[0.000003903182,0.0000126685445,0.00019342266,0.00006747842,0.0000047258236,0.000075784934,0.00010341151,0.0010629151,0.00046395793,0.78405297,0.213951,0.000007633988],"about_ca_topic_score_codex":0.00081997266,"about_ca_topic_score_gemma":0.00090083247,"teacher_disagreement_score":0.007929827,"about_ca_system_score_codex":0.0015870694,"about_ca_system_score_gemma":0.0008210955,"threshold_uncertainty_score":0.026527941},"labels":[],"label_agreement":null},{"id":"W4239285851","doi":"10.1007/978-1-84996-504-0_7","title":"Further Reading","year":2010,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Algebra and Geometry","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":"Lakehead University","funders":"","keywords":"Reading (process); Psychology; Computer science; Linguistics; Philosophy","score_opus":0.035945032060602344,"score_gpt":0.29609789973937206,"score_spread":0.2601528676787697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4239285851","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00025687748,0.0021031343,0.0010999052,0.0017572044,0.0019329792,0.0000217545,0.00026443985,0.0001325734,0.99243116],"genre_scores_gemma":[0.00087499677,0.0007698826,0.00026336062,0.0003838139,0.00026333073,0.000010255849,0.00013695112,0.00008967848,0.9972077],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997273,0.000035635152,0.000009007468,0.00004925738,0.00014545694,0.000033177872],"domain_scores_gemma":[0.9996691,0.00006190886,0.000013086891,0.000040699022,0.0001615332,0.000053720614],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002821914,0.000837305,0.0008030005,0.0018963044,0.0017118729,0.0034396662,0.0008989863,0.0010350671,0.4116804],"category_scores_gemma":[0.0012521102,0.00024998075,0.0004344379,0.0018179968,0.0008057066,0.0032530013,0.0014832534,0.001908266,0.2845591],"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":[0.000012858812,0.000030353107,0.000077602715,0.00010029224,0.0000022391087,0.00004653089,0.00026465982,0.0001058462,0.0002347311,0.058469567,0.8456231,0.09503225],"study_design_scores_gemma":[0.0000014387784,0.0000031694162,0.00011468229,0.00007681253,0.0000014898709,0.00002822686,0.00010354015,0.00004052765,0.00007063472,0.010260873,0.9892959,0.0000027645142],"about_ca_topic_score_codex":0.005146843,"about_ca_topic_score_gemma":0.016452936,"teacher_disagreement_score":0.4116804,"about_ca_system_score_codex":0.0018242368,"about_ca_system_score_gemma":0.0013127357,"threshold_uncertainty_score":0.8391665},"labels":[],"label_agreement":null},{"id":"W4242892917","doi":"10.1007/978-0-387-21690-4_2","title":"Commutative Fields","year":2001,"lang":"en","type":"book-chapter","venue":"Universitext","topic":"Advanced Algebra and Geometry","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","score_opus":0.03925234949926135,"score_gpt":0.27320238677279446,"score_spread":0.2339500372735331,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4242892917","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0018916266,0.0044656903,0.007534478,0.0008881387,0.00050490466,0.00001466348,0.00017323364,0.00014773478,0.9843795],"genre_scores_gemma":[0.051467177,0.0045263325,0.0035028895,0.0003581691,0.0006689476,0.000038036887,0.00030274029,0.00011840656,0.93901736],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9998299,0.00003318951,0.000006844537,0.00003299718,0.000080321486,0.000016749209],"domain_scores_gemma":[0.9998497,0.0000337581,0.0000124422295,0.000038016293,0.000047091875,0.000018997664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027162037,0.0006821537,0.00043357504,0.0012295675,0.0014364847,0.0024789104,0.0005215617,0.00044470752,0.06452483],"category_scores_gemma":[0.00047743975,0.0003403221,0.00020982686,0.0016818478,0.0014566468,0.004238056,0.00081325613,0.0016567215,0.01686394],"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":[0.000005826604,0.000013104697,0.000028677114,0.000046367408,0.0000022314673,0.000018368308,0.00020738618,0.000093385745,0.000254767,0.92877734,0.046428356,0.024124347],"study_design_scores_gemma":[0.000006168515,0.000008003836,0.00014787546,0.00003984005,0.000004053869,0.000113972514,0.00007620343,0.0001941591,0.00033808142,0.3866968,0.6123704,0.0000045146094],"about_ca_topic_score_codex":0.00095807406,"about_ca_topic_score_gemma":0.0014676837,"teacher_disagreement_score":0.06452483,"about_ca_system_score_codex":0.0013935574,"about_ca_system_score_gemma":0.00073123956,"threshold_uncertainty_score":0.21585703},"labels":[],"label_agreement":null},{"id":"W4244399040","doi":"10.4153/cjm-2009-013-0","title":"Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Variety (cybernetics); Cover (algebra); Mathematics; Group (periodic table); Mathematical theory; Algebra over a field; Pure mathematics; Statistics; Engineering; Chemistry","score_opus":0.04283908367384614,"score_gpt":0.2523017320310506,"score_spread":0.20946264835720446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4244399040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64418364,0.00693184,0.059674036,0.0030584552,0.002295512,0.00009155834,0.0004204247,0.00024750613,0.28309694],"genre_scores_gemma":[0.9726972,0.0014966317,0.0034181548,0.00021924707,0.00059033785,0.000027665132,0.00016389383,0.000048627866,0.021338148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993142,0.00014191822,0.000047159076,0.00009565441,0.0002355951,0.00016542738],"domain_scores_gemma":[0.99900275,0.00023999224,0.00019007793,0.0001535369,0.00018686817,0.0002268667],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010653209,0.0004628515,0.0006659803,0.0024752778,0.0018740837,0.0028028148,0.00066730304,0.00053824694,0.004751144],"category_scores_gemma":[0.0013851554,0.00024340779,0.00047317182,0.0020574343,0.006563569,0.004087303,0.002014205,0.0014343126,0.00047481334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008084944,0.0000063109173,0.00020985927,0.000008441688,0.0000024935073,0.000042454452,0.0002769704,0.00013601202,0.00024097685,0.99590284,0.00056372053,0.0026018524],"study_design_scores_gemma":[0.0000060612056,0.000012845922,0.00076868344,0.000006467361,0.0000043899167,0.000076544384,0.00016531491,0.0005873562,0.00023823946,0.9942464,0.0038782486,0.000009467329],"about_ca_topic_score_codex":0.006762653,"about_ca_topic_score_gemma":0.0074969907,"teacher_disagreement_score":0.006762653,"about_ca_system_score_codex":0.0016242624,"about_ca_system_score_gemma":0.0016012014,"threshold_uncertainty_score":0.015894175},"labels":[],"label_agreement":null},{"id":"W4246304290","doi":"10.1007/s10440-008-9394-0","title":"Preface","year":2008,"lang":"en","type":"article","venue":"Acta Applicandae Mathematicae","topic":"Advanced Algebra and Geometry","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":"Mathematics; Partial differential equation; Applied mathematics; Mathematical analysis","score_opus":0.06178385347304722,"score_gpt":0.31563475079949765,"score_spread":0.25385089732645044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4246304290","genre_codex":"other","genre_gemma":"editorial","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"editorial","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0013704738,0.009448589,0.0050935256,0.029442135,0.21286677,0.00047061295,0.012364985,0.0014331402,0.72750974],"genre_scores_gemma":[0.004520228,0.0029091153,0.0012560751,0.004852446,0.017826108,0.00017699541,0.005155893,0.00061750435,0.96268576],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99915624,0.00012420214,0.000047988655,0.00012952206,0.00046546836,0.0000765577],"domain_scores_gemma":[0.99468493,0.0006975583,0.00018016191,0.00044514655,0.00316494,0.0008272665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013325962,0.0008162016,0.00058905745,0.0034417475,0.0026285106,0.0035380374,0.0011199547,0.0009308064,0.48583162],"category_scores_gemma":[0.010658764,0.0002582646,0.0005002879,0.002151032,0.0005645695,0.0022925842,0.0020462868,0.0025578619,0.30912802],"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":[0.00002680612,0.0000130921835,0.0000786153,0.00006528897,0.0000016530282,0.000026557414,0.000047678594,0.00003814233,0.00008163776,0.004104889,0.9661794,0.029336188],"study_design_scores_gemma":[0.0000038980893,0.000008255639,0.00023103984,0.000073427,0.0000015747135,0.000023128112,0.000061961066,0.000020598287,0.00007159738,0.002374317,0.99712664,0.0000036105725],"about_ca_topic_score_codex":0.0052531394,"about_ca_topic_score_gemma":0.006803919,"teacher_disagreement_score":0.48583162,"about_ca_system_score_codex":0.001982147,"about_ca_system_score_gemma":0.0022374229,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W4246403233","doi":"10.1017/cbo9781139226769.012","title":"H(b) spaces generated by an extreme symbol b","year":2016,"lang":"he","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Algebra and Geometry","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":"Symbol (formal); Content (measure theory); Computer science; Arithmetic; Mathematics; Programming language","score_opus":0.04473360134621157,"score_gpt":0.23231372391550198,"score_spread":0.1875801225692904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4246403233","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0889247,0.0051093083,0.117573,0.0018633779,0.0011827722,0.000030417395,0.00040737964,0.00040280714,0.7845062],"genre_scores_gemma":[0.68313605,0.0039320285,0.02845718,0.00071623066,0.0008969339,0.000063881154,0.00041905494,0.00019308715,0.28218555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981755,0.000049328348,0.000005119399,0.000029826764,0.000056657474,0.00004161492],"domain_scores_gemma":[0.9998024,0.000059234513,0.000018661838,0.000032050455,0.00003906595,0.00004853854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025585198,0.00027070334,0.00021512904,0.00092494936,0.00068778393,0.0015028771,0.0002969217,0.00038157174,0.010166385],"category_scores_gemma":[0.0004010893,0.00013244196,0.00023397738,0.00059258,0.0016037975,0.0017190442,0.0012030206,0.0014517301,0.0021997625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021974158,0.0000055895784,0.00007143111,0.00003552388,0.0000038737526,0.00006758687,0.00021199042,0.00022666126,0.0019841446,0.9777892,0.0060399007,0.013542064],"study_design_scores_gemma":[0.0000076128945,0.00003580235,0.0006272746,0.000031752174,0.000004953413,0.00044244633,0.0002371195,0.0013373598,0.0026956038,0.9001931,0.094373725,0.000013197693],"about_ca_topic_score_codex":0.0003758626,"about_ca_topic_score_gemma":0.0003143966,"teacher_disagreement_score":0.010166385,"about_ca_system_score_codex":0.0003433933,"about_ca_system_score_gemma":0.00023733571,"threshold_uncertainty_score":0.034009933},"labels":[],"label_agreement":null},{"id":"W4247129559","doi":"10.1007/978-981-10-2651-5_13","title":"The Upper Half-Plane","year":2016,"lang":"en","type":"book-chapter","venue":"HBA lecture notes in mathematics","topic":"Advanced Algebra and Geometry","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":"Plane (geometry); Combinatorics; Action (physics); Physics; Mathematics; Geometry; Quantum mechanics","score_opus":0.022917397780961198,"score_gpt":0.27826193334947374,"score_spread":0.25534453556851255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4247129559","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.005337136,0.007800149,0.016510325,0.0013494495,0.0008407771,0.000017274493,0.00036231638,0.00010394828,0.9676784],"genre_scores_gemma":[0.26763618,0.0220088,0.018300345,0.0017353792,0.0016385637,0.00012008239,0.0016549081,0.0005486049,0.6863572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99981076,0.000027510398,0.000007692525,0.00004762881,0.000076752935,0.00002958085],"domain_scores_gemma":[0.9999168,0.000017318636,0.000006190906,0.000016959935,0.000027083193,0.000015645861],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014779632,0.0007588324,0.0005335359,0.0009483095,0.0008929158,0.0039453977,0.0007824897,0.00068008364,0.03713393],"category_scores_gemma":[0.0005176917,0.00025746826,0.00026976244,0.00094122946,0.0013435391,0.0025332093,0.001405191,0.0022146474,0.011479052],"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":[0.000024789182,0.000007657888,0.00003401434,0.00006940606,0.0000037690513,0.000032415723,0.000109044224,0.00044920278,0.00066505634,0.9254368,0.028879685,0.04428827],"study_design_scores_gemma":[0.000008400204,0.000010810461,0.00021986845,0.00009892392,0.000007177542,0.00019053833,0.00021724195,0.0013282084,0.0005989411,0.53382564,0.46348533,0.000008980018],"about_ca_topic_score_codex":0.001588386,"about_ca_topic_score_gemma":0.0010233846,"teacher_disagreement_score":0.03713393,"about_ca_system_score_codex":0.00089985103,"about_ca_system_score_gemma":0.00050902716,"threshold_uncertainty_score":0.12422538},"labels":[],"label_agreement":null},{"id":"W4249454823","doi":"10.1090/fim/020","title":"Lectures on Automorphic 𝐿-functions","year":2009,"lang":"en","type":"book","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","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; University of Toronto","funders":"","keywords":"Automorphic form; Mathematics; Psychology; Pure mathematics","score_opus":0.02306371850223697,"score_gpt":0.29143311881602435,"score_spread":0.26836940031378737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4249454823","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00422653,0.008665402,0.0092313085,0.002711917,0.004439075,0.000017153276,0.00034171774,0.0003008271,0.970066],"genre_scores_gemma":[0.0316481,0.0073999874,0.004427069,0.000544445,0.0020852168,0.000027604248,0.0003154608,0.00022713146,0.95332503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978584,0.000022824628,0.0000075861008,0.000029214534,0.0001289345,0.00002556815],"domain_scores_gemma":[0.99987066,0.000019551055,0.000009290989,0.00001843344,0.000047557864,0.00003446199],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002634967,0.0011605992,0.00060107093,0.0017448814,0.0009941226,0.0019797375,0.0005243204,0.00058649003,0.03725522],"category_scores_gemma":[0.0004938203,0.00034723326,0.00042845812,0.00176695,0.0010451857,0.0027031833,0.0012657312,0.0025241408,0.012768428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012440723,0.000030451956,0.000118255804,0.00010566167,0.000007615269,0.000052157633,0.00023168339,0.00039262095,0.0011120739,0.75072485,0.17244498,0.07476717],"study_design_scores_gemma":[0.0000052517426,0.000014328762,0.0006404627,0.00009151837,0.000010109097,0.00023592534,0.00007170218,0.00080825825,0.00052089355,0.2870089,0.7105782,0.000014404831],"about_ca_topic_score_codex":0.0013699679,"about_ca_topic_score_gemma":0.0030575146,"teacher_disagreement_score":0.03725522,"about_ca_system_score_codex":0.0023148574,"about_ca_system_score_gemma":0.0009874725,"threshold_uncertainty_score":0.12463117},"labels":[],"label_agreement":null},{"id":"W4254274056","doi":"10.2140/pjm.2000.194.57","title":"Explicit Cayley triples in real forms of E<sub>8</sub>","year":2000,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Cayley graph; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.02992994658267814,"score_gpt":0.2884067742884743,"score_spread":0.25847682770579616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4254274056","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9102179,0.0005071367,0.029083693,0.0003012662,0.0001672723,0.000034288463,0.00051732775,0.00030727393,0.058863826],"genre_scores_gemma":[0.9653678,0.0002675556,0.015567114,0.00012247519,0.00005092474,0.000026572254,0.0005580303,0.000067462905,0.017972043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99989855,0.000016028687,0.000007736683,0.000017580915,0.000030608746,0.000029401694],"domain_scores_gemma":[0.9998909,0.000015479767,0.000024424191,0.000014407402,0.000026679763,0.000027988377],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015496611,0.00034791484,0.00021441396,0.0007828984,0.00077432476,0.0010745258,0.00029798088,0.0004207581,0.006637443],"category_scores_gemma":[0.00029033102,0.00021267818,0.0002052502,0.0005759562,0.0006602479,0.00096181844,0.0004998001,0.0005983151,0.0011205316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012761672,0.000053818254,0.0016337276,0.00012019229,0.00001420359,0.0015497264,0.00087998615,0.0019507266,0.020983651,0.94426805,0.004300559,0.024117762],"study_design_scores_gemma":[0.000043874436,0.00009341286,0.0026018939,0.00007399883,0.000020919317,0.0015477006,0.0008936201,0.009267505,0.014563037,0.93360156,0.03724433,0.000048233902],"about_ca_topic_score_codex":0.0006006652,"about_ca_topic_score_gemma":0.0015117386,"teacher_disagreement_score":0.006637443,"about_ca_system_score_codex":0.00037086094,"about_ca_system_score_gemma":0.00023741538,"threshold_uncertainty_score":0.022204518},"labels":[],"label_agreement":null},{"id":"W4255897532","doi":"10.1090/fim/020/03","title":"Automorphic forms","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","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; University of Toronto","funders":"","keywords":"Geography; Mathematics","score_opus":0.026542600723778502,"score_gpt":0.2866243880105186,"score_spread":0.2600817872867401,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4255897532","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0033021786,0.0028713294,0.008700533,0.00096771796,0.0008083307,0.000012957853,0.00012535184,0.00013151177,0.98308027],"genre_scores_gemma":[0.05197414,0.0037031749,0.0039280225,0.00039694627,0.0007432465,0.000028836226,0.00023685415,0.00014317826,0.9388456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985874,0.000022692071,0.00000554222,0.000024719739,0.000074295305,0.000014055256],"domain_scores_gemma":[0.9999263,0.000010529257,0.0000053008093,0.000019879562,0.000027682285,0.000010305908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001635294,0.0005424625,0.00037176837,0.0011974376,0.0008271009,0.0016568485,0.00038323607,0.00043643216,0.036035463],"category_scores_gemma":[0.0003457992,0.00019867158,0.00020522946,0.001074424,0.00095155864,0.0020670365,0.0010544328,0.001590579,0.010505426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003668918,0.000009832589,0.00003860405,0.000033333876,0.0000025138022,0.000020812871,0.00013581886,0.000114421135,0.00042314455,0.9107586,0.04287539,0.045583736],"study_design_scores_gemma":[0.000003294811,0.000007075167,0.00024193656,0.00003676085,0.0000040967457,0.00017248446,0.00007368712,0.0004693922,0.0004112772,0.48375484,0.51481956,0.0000056173017],"about_ca_topic_score_codex":0.000648179,"about_ca_topic_score_gemma":0.001098807,"teacher_disagreement_score":0.036035463,"about_ca_system_score_codex":0.0009166779,"about_ca_system_score_gemma":0.00045113257,"threshold_uncertainty_score":0.12055057},"labels":[],"label_agreement":null},{"id":"W4256688031","doi":"10.1002/1097-0312(200101)54:1<91::aid-cpa4>3.3.co;2-f","title":"Peakons, strings, and the finite Toda lattice","year":2001,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Algebra and Geometry","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 Saskatchewan","funders":"","keywords":"Toda lattice; Mathematics; Lattice (music); Pure mathematics; Mathematical analysis; Physics; Integrable system; Acoustics","score_opus":0.04865668139991884,"score_gpt":0.31056593033879243,"score_spread":0.2619092489388736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4256688031","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5207379,0.01992424,0.08634532,0.0048945434,0.0012410304,0.0000470617,0.0002639659,0.0006327547,0.36591312],"genre_scores_gemma":[0.9480187,0.004134696,0.011577439,0.00041029323,0.0004462519,0.000041461983,0.00016368234,0.000077287325,0.03513025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984956,0.000040403807,0.0000068579484,0.000020749876,0.0000542652,0.000028099494],"domain_scores_gemma":[0.99983966,0.00004281596,0.000024241062,0.000021173131,0.000026367481,0.000045760054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032342013,0.0002530661,0.00034771903,0.0009862216,0.0012658078,0.0019209426,0.00042098816,0.00055287743,0.0036944498],"category_scores_gemma":[0.0008875858,0.0001723029,0.00026862315,0.00061086327,0.0020403583,0.0021241584,0.000932067,0.00083839917,0.00042224413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000088774905,0.0000066984558,0.00007835042,0.000015041416,0.000001642091,0.000027330285,0.00004894523,0.0006882733,0.00027177032,0.994869,0.00091301434,0.0030711729],"study_design_scores_gemma":[0.000003887774,0.0000037937245,0.00010889654,0.0000098460205,0.0000013113262,0.000043513002,0.000041928655,0.002957867,0.00015017964,0.9935703,0.0031050758,0.0000034012303],"about_ca_topic_score_codex":0.0019613935,"about_ca_topic_score_gemma":0.0017156042,"teacher_disagreement_score":0.0036944498,"about_ca_system_score_codex":0.001246888,"about_ca_system_score_gemma":0.000782206,"threshold_uncertainty_score":0.012359142},"labels":[],"label_agreement":null},{"id":"W4281731807","doi":"10.5539/jmr.v14n3p56","title":"On Kostant-Kirillov Symplectic Structure and Quasi-Poisson Structures of the Euler-Arnold Systems","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Algebra and Geometry","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":"Symplectic geometry; Mathematics; Poisson manifold; Symplectic manifold; Poisson bracket; First class constraint; Pure mathematics; Poisson algebra; Moment map; Symplectic integrator; Symplectomorphism; Algebra over a field; Symplectic representation; Lie algebra","score_opus":0.08470586178783973,"score_gpt":0.39263445145767273,"score_spread":0.307928589669833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4281731807","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70145464,0.0043171924,0.15296412,0.0034761496,0.00042836528,0.00006782863,0.0002470387,0.00012296102,0.13692166],"genre_scores_gemma":[0.9824796,0.00116641,0.008669229,0.00016177999,0.00023365181,0.0000342639,0.00008124482,0.000027229804,0.0071467524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996598,0.00010527802,0.0000150072465,0.000045878747,0.00011643306,0.000057680332],"domain_scores_gemma":[0.9995499,0.000116485564,0.00010607173,0.000030422972,0.000088283006,0.00010885455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063212635,0.00036679755,0.0003593214,0.0013625245,0.0012317583,0.0015590688,0.00040639853,0.00048853166,0.0031328618],"category_scores_gemma":[0.0012889513,0.00022243863,0.0004709566,0.0006156631,0.0027417669,0.0024816438,0.0013494298,0.001200835,0.0004562609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004048141,0.000004744904,0.00011938436,0.000009277552,0.0000014500026,0.000043637658,0.00015773757,0.00047567522,0.00039958867,0.9977431,0.00014458256,0.00089674274],"study_design_scores_gemma":[0.0000051140723,0.00001720427,0.00037554058,0.000012537839,0.0000021738704,0.00010028851,0.00009859085,0.0064943745,0.00021627494,0.9909065,0.001763857,0.0000075784255],"about_ca_topic_score_codex":0.0013274413,"about_ca_topic_score_gemma":0.000631257,"teacher_disagreement_score":0.0031328618,"about_ca_system_score_codex":0.0010095128,"about_ca_system_score_gemma":0.000727842,"threshold_uncertainty_score":0.010480404},"labels":[],"label_agreement":null},{"id":"W4282824163","doi":"10.5565/publmat6622204","title":"On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting","year":2022,"lang":"ca","type":"article","venue":"Publicacions Matemàtiques","topic":"Advanced Algebra and Geometry","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 Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques; Université Laval","keywords":"Mathematics; Modular form; Type (biology); Order (exchange); Combinatorics; Conjecture; Pure mathematics; Elliptic curve; Dimension (graph theory); Finite field","score_opus":0.026682941515347863,"score_gpt":0.31714195090865166,"score_spread":0.2904590093933038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4282824163","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8354012,0.001712883,0.07865043,0.0045237974,0.00043420267,0.00007990952,0.00030051527,0.00022753773,0.078669555],"genre_scores_gemma":[0.9833546,0.0005127302,0.0074306354,0.00029601651,0.00060276437,0.000050114497,0.00021257781,0.000039197286,0.0075013414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856156,0.000384254,0.000060665585,0.00031915132,0.00034589422,0.00032836688],"domain_scores_gemma":[0.9958198,0.0016934955,0.0008287057,0.00053463946,0.0002737338,0.0008496039],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00267038,0.000777914,0.0012942171,0.002007305,0.0024097278,0.003856056,0.001262553,0.0016497588,0.006888617],"category_scores_gemma":[0.008753076,0.00048480538,0.0010797323,0.0011481723,0.006027677,0.0093495725,0.0043598497,0.0033558318,0.00065952755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064218475,0.000023194068,0.0008180769,0.00003254403,0.0000059088234,0.00012751044,0.00029222082,0.0010286826,0.0004167297,0.995256,0.00047098155,0.0014639467],"study_design_scores_gemma":[0.00003293354,0.000046278117,0.0007715565,0.00001965558,0.0000082245015,0.00016270224,0.0001688359,0.007227206,0.00053468934,0.98906004,0.0019511268,0.000016663571],"about_ca_topic_score_codex":0.0005872603,"about_ca_topic_score_gemma":0.00040550533,"teacher_disagreement_score":0.006888617,"about_ca_system_score_codex":0.0015501082,"about_ca_system_score_gemma":0.00045456956,"threshold_uncertainty_score":0.023044765},"labels":[],"label_agreement":null},{"id":"W4287241294","doi":"10.48550/arxiv.2104.01510","title":"Restricting admissible representations to fixed-point subgroups","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Fixed point; Equivalence (formal languages); Mathematics; Representation (politics); Group (periodic table); Point (geometry); Action (physics); Pure mathematics; Inertial frame of reference; Combinatorics; Mathematical analysis; Physics; Geometry; Law; Political science","score_opus":0.13579362696452957,"score_gpt":0.26584223516566796,"score_spread":0.1300486082011384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4287241294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60622203,0.00028295597,0.24558881,0.0013527182,0.0003136084,0.00011746507,0.00026198218,0.00046720874,0.14539324],"genre_scores_gemma":[0.9622871,0.000297636,0.020657035,0.00025316016,0.00022895969,0.00009972705,0.00027201333,0.00018514175,0.015719244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893934,0.00020229685,0.00007745699,0.00026284854,0.00024661672,0.00027153228],"domain_scores_gemma":[0.9989743,0.00022249782,0.00013797799,0.00036529405,0.00013826488,0.00016164755],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086394156,0.00065392954,0.00044358874,0.0016611282,0.0017907694,0.003930636,0.0012043702,0.0012265168,0.00535613],"category_scores_gemma":[0.0024140568,0.00040880663,0.0011259946,0.0011487884,0.004144147,0.0055427714,0.0036797342,0.0027228442,0.0008716771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010307656,0.00000975085,0.00020535666,0.000007866518,0.000002394928,0.00006673424,0.0004885446,0.0002738905,0.0010956856,0.99524915,0.00020671914,0.0023836922],"study_design_scores_gemma":[0.000011908517,0.00001816518,0.00020027152,0.000014893869,0.000008345682,0.00014749264,0.0005129533,0.0023551933,0.0020477618,0.98940897,0.005260655,0.000013425687],"about_ca_topic_score_codex":0.00083646324,"about_ca_topic_score_gemma":0.000763097,"teacher_disagreement_score":0.00535613,"about_ca_system_score_codex":0.0011008432,"about_ca_system_score_gemma":0.0005048066,"threshold_uncertainty_score":0.01791805},"labels":[],"label_agreement":null},{"id":"W4287753479","doi":"10.48550/arxiv.2006.13454","title":"Rigid analytic vectors of crystalline representations arising in\\n $p$-adic Langlands","year":2020,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Representation (politics); Mathematics; Unitary state; Unitary representation; Pure mathematics; Physics; Algebra over a field; Mathematical physics; Combinatorics; Lie group","score_opus":0.12870728437217768,"score_gpt":0.24570987085683157,"score_spread":0.11700258648465389,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4287753479","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8616699,0.00023381993,0.061477438,0.00042234865,0.00010676264,0.00004903853,0.00013882628,0.00015986152,0.075742014],"genre_scores_gemma":[0.97422636,0.00016598147,0.0083285365,0.00008527112,0.000083739134,0.00004784718,0.00016272237,0.00005438066,0.016845219],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997317,0.00004794395,0.000015080422,0.000043565462,0.000079204605,0.00008235552],"domain_scores_gemma":[0.9998159,0.000027048329,0.000044451594,0.0000288292,0.000034027787,0.000049792543],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002909667,0.0005412486,0.0002700697,0.0012730531,0.0010845374,0.0019287025,0.00050450664,0.0005345596,0.003675424],"category_scores_gemma":[0.0005554834,0.00020249865,0.00045881842,0.0005846087,0.0023207467,0.0017531035,0.0011530926,0.0010045455,0.0005568497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013459686,0.000010906225,0.00014604827,0.000007775055,0.0000017421374,0.000080150516,0.00024646413,0.000663814,0.0019677063,0.9935523,0.00020924321,0.003100334],"study_design_scores_gemma":[0.00002138621,0.00007754363,0.00064111775,0.000015726324,0.000006539192,0.00023508783,0.00067924795,0.0109701,0.0036242057,0.97774327,0.0059514954,0.000034266573],"about_ca_topic_score_codex":0.000973554,"about_ca_topic_score_gemma":0.0007232336,"teacher_disagreement_score":0.003675424,"about_ca_system_score_codex":0.0007496907,"about_ca_system_score_gemma":0.0004672525,"threshold_uncertainty_score":0.012295544},"labels":[],"label_agreement":null},{"id":"W4287973178","doi":"10.5802/jolt.1127","title":"Derivatives of Elliptic Orbital Integrals on a Symplectic Space","year":2020,"lang":"en","type":"preprint","venue":"Journal of Lie theory","topic":"Advanced Algebra and Geometry","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":"","keywords":"Symplectic geometry; Pure mathematics; Space (punctuation); Symplectomorphism; Mathematics; Physics; Computer science","score_opus":0.06794657351916364,"score_gpt":0.35194752784436234,"score_spread":0.2840009543251987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4287973178","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6677248,0.0023585057,0.14389496,0.005049955,0.0015158436,0.00006710941,0.00046037466,0.000483403,0.17844503],"genre_scores_gemma":[0.92262995,0.0011741383,0.011927494,0.0003283037,0.0011254937,0.00003210811,0.00019762346,0.00030397504,0.062280934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995895,0.0001002589,0.000026605821,0.00006845427,0.00015342706,0.000061779145],"domain_scores_gemma":[0.99902534,0.00024210983,0.0001585028,0.00008884717,0.00021672637,0.00026845466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010610915,0.0011503104,0.000898137,0.0042028087,0.001818421,0.0038500018,0.0009912887,0.0015995526,0.009108131],"category_scores_gemma":[0.0028352302,0.0005414478,0.00074440375,0.002672138,0.0027550205,0.0051877243,0.0022234418,0.0022503692,0.00077788136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002705295,0.000028768096,0.00017932968,0.000025045647,0.000009061232,0.00014877038,0.00019423662,0.0015736296,0.0008521105,0.9926004,0.0008684203,0.0034931814],"study_design_scores_gemma":[0.000010425752,0.000014488948,0.00038133876,0.0000125350025,0.000006921232,0.00016666224,0.00007116614,0.0105498405,0.0002927176,0.98653585,0.0019447487,0.0000133409985],"about_ca_topic_score_codex":0.0014200291,"about_ca_topic_score_gemma":0.0014367508,"teacher_disagreement_score":0.009108131,"about_ca_system_score_codex":0.0021628353,"about_ca_system_score_gemma":0.00082705956,"threshold_uncertainty_score":0.030469716},"labels":[],"label_agreement":null},{"id":"W4289526845","doi":"10.1307/mmj/20217221","title":"The Derived Hecke Algebra for Dihedral Weight One Forms","year":2022,"lang":"en","type":"article","venue":"The Michigan Mathematical Journal","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; European Commission; National Science Foundation","keywords":"Mathematics; Hecke algebra; Dihedral group; Conjecture; Pure mathematics; Hecke operator; Dihedral angle; Action (physics); Algebra over a field; Modular form; Group (periodic table)","score_opus":0.034615360308408116,"score_gpt":0.29893984828674275,"score_spread":0.26432448797833463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4289526845","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7678077,0.0011069992,0.061493963,0.001342244,0.00032073716,0.000064833206,0.00013743738,0.00010254353,0.1676235],"genre_scores_gemma":[0.97183293,0.00046703525,0.0070877057,0.00017739477,0.00016819217,0.000030301322,0.00009039225,0.000027727992,0.020118395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964297,0.00007816941,0.00001857173,0.00006486897,0.000118190765,0.000077169236],"domain_scores_gemma":[0.999648,0.00007397744,0.00006710056,0.000049449827,0.000064809676,0.0000966239],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005342532,0.00048648327,0.00044980866,0.0011819877,0.0013845236,0.0014702891,0.0009714395,0.00062223733,0.0060903095],"category_scores_gemma":[0.0010722373,0.00022172101,0.0005687141,0.0007639833,0.0026121433,0.0027764195,0.001451753,0.001626141,0.0012293865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009194596,0.000015529062,0.00013609762,0.000015451711,0.0000026192952,0.00011995839,0.00020297794,0.0005469403,0.0011138711,0.99607533,0.000194448,0.001567641],"study_design_scores_gemma":[0.000016672157,0.000030440146,0.00031448665,0.000012944848,0.000005085458,0.00019049819,0.00014581633,0.0044736117,0.0013345869,0.99092776,0.0025338936,0.000014073253],"about_ca_topic_score_codex":0.000494943,"about_ca_topic_score_gemma":0.00046620698,"teacher_disagreement_score":0.0060903095,"about_ca_system_score_codex":0.00083624973,"about_ca_system_score_gemma":0.0006241332,"threshold_uncertainty_score":0.02037412},"labels":[],"label_agreement":null},{"id":"W4289599230","doi":"10.48550/arxiv.2207.08573","title":"Geometric vertex decomposition, Gröbner bases, and Frobenius splittings for regular nilpotent Hessenberg varieties","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"","keywords":"Mathematics; Combinatorics; Nilpotent; Vertex (graph theory); Affine variety; Affine transformation; Pure mathematics; Graph","score_opus":0.0751383290933223,"score_gpt":0.2348800216424551,"score_spread":0.1597416925491328,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4289599230","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9324781,0.00043079938,0.036851387,0.00034090702,0.000048737882,0.00003160625,0.00012211151,0.00009331575,0.02960313],"genre_scores_gemma":[0.9873351,0.00020647138,0.005916091,0.00003819158,0.00007036576,0.000022021472,0.00013177698,0.000024843797,0.0062551606],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997974,0.00002823825,0.000006326818,0.000039183848,0.00006707067,0.00006176601],"domain_scores_gemma":[0.999803,0.0000237073,0.0000476863,0.000015788371,0.000028429016,0.000081335806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002587018,0.000489271,0.00043696497,0.0020030378,0.0011793278,0.0014574489,0.0006670932,0.000339404,0.0032902653],"category_scores_gemma":[0.000447016,0.00020582639,0.00037832165,0.0006293464,0.0021635806,0.0017788056,0.0011217287,0.0011741342,0.0003981459],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002384734,0.000029879562,0.0005859378,0.00001822878,0.000004569411,0.00010128872,0.00028347157,0.0031552624,0.0021224278,0.98976374,0.00030649238,0.0036049506],"study_design_scores_gemma":[0.0000170938,0.000058246733,0.0010311933,0.0000136366725,0.0000062959884,0.00012762965,0.00032311853,0.0128959,0.0024853372,0.98075885,0.0022608782,0.00002179157],"about_ca_topic_score_codex":0.00092455687,"about_ca_topic_score_gemma":0.0009018222,"teacher_disagreement_score":0.0032902653,"about_ca_system_score_codex":0.0010882798,"about_ca_system_score_gemma":0.00041674767,"threshold_uncertainty_score":0.011007011},"labels":[],"label_agreement":null},{"id":"W4289813727","doi":"10.1007/s00209-022-03057-w","title":"Period of the Ikeda type lift for the exceptional group of type $$E_{7,3}$$","year":2022,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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; Lift (data mining); Modular form; Cusp form; Modular group; Type (biology); Pure mathematics; Norm (philosophy); Algebra over a field; Computer science","score_opus":0.041601502639255356,"score_gpt":0.3063549994833724,"score_spread":0.2647534968441171,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4289813727","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84626025,0.0003112844,0.02665448,0.0016813921,0.001043106,0.000047709706,0.00045717286,0.00033914673,0.12320548],"genre_scores_gemma":[0.9722961,0.00017722764,0.0039024977,0.00025814053,0.00057272176,0.000051948144,0.00032104237,0.00019871454,0.02222166],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960834,0.0000525481,0.0000131620445,0.00006558504,0.00009403067,0.00016640169],"domain_scores_gemma":[0.9995945,0.000076199176,0.00008078997,0.000039305378,0.000043477557,0.00016571477],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050458836,0.0007290356,0.0008343725,0.0024372125,0.002290126,0.002773879,0.00086085015,0.0012854432,0.013057443],"category_scores_gemma":[0.0010255529,0.00036687797,0.00081828475,0.00064981834,0.0021106347,0.0018062467,0.0018082863,0.0022281606,0.0015877028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039057047,0.00004902751,0.0006235372,0.00004835993,0.000021298885,0.0005421081,0.00035985102,0.0011969763,0.0051645013,0.9827753,0.0027735662,0.0060550254],"study_design_scores_gemma":[0.00010882874,0.0000909019,0.0026538258,0.000039389906,0.000030011419,0.00069113506,0.00037300267,0.009424673,0.0029868116,0.9760987,0.007432717,0.00007004834],"about_ca_topic_score_codex":0.0007967261,"about_ca_topic_score_gemma":0.0006943012,"teacher_disagreement_score":0.013057443,"about_ca_system_score_codex":0.0012596167,"about_ca_system_score_gemma":0.0006536663,"threshold_uncertainty_score":0.043681502},"labels":[],"label_agreement":null},{"id":"W4292425247","doi":"10.4153/s0008439522000522","title":"Group actions on local moduli space of holomorphic vector bundles","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Mathematics; Vector bundle; Holomorphic function; Pure mathematics; Moduli space; Group (periodic table); Group action; Algebra over a field","score_opus":0.03568006200379611,"score_gpt":0.2693603083381666,"score_spread":0.23368024633437048,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4292425247","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94895315,0.00035821478,0.019231442,0.00056112075,0.000058619058,0.000023615203,0.00007202474,0.00016340739,0.030578464],"genre_scores_gemma":[0.9931717,0.00015207143,0.0014159713,0.000052116317,0.000058132406,0.000013520051,0.000040851828,0.000024789466,0.005070921],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964094,0.00007068546,0.00001569224,0.00009233684,0.00008412875,0.00009621274],"domain_scores_gemma":[0.9993261,0.00012158101,0.00015064912,0.00008892055,0.00008064959,0.00023205129],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005623807,0.0006430023,0.0005598667,0.0016005497,0.0011851726,0.001859909,0.00047318422,0.00062477146,0.0062834257],"category_scores_gemma":[0.0009387123,0.00022985206,0.0004659025,0.0006098618,0.0027037028,0.0033959632,0.002579152,0.0013058454,0.00048734446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068164605,0.0000715832,0.0016791377,0.00005426208,0.000027131959,0.0008844675,0.0015800905,0.0016277786,0.008367851,0.9789903,0.0005598767,0.0060893586],"study_design_scores_gemma":[0.00005190803,0.00016112864,0.0042605377,0.00003679195,0.000042888067,0.00072772766,0.0009072143,0.008025743,0.004067274,0.975493,0.0061953994,0.000030322073],"about_ca_topic_score_codex":0.00043077755,"about_ca_topic_score_gemma":0.00042196753,"teacher_disagreement_score":0.0062834257,"about_ca_system_score_codex":0.0006930042,"about_ca_system_score_gemma":0.00021403626,"threshold_uncertainty_score":0.021020174},"labels":[],"label_agreement":null},{"id":"W4293085866","doi":"10.1090/ert/597","title":"Characters of irreducible unitary representations of U(h,h+1) via double lifting from U(1)","year":2022,"lang":"lv","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Ministry of Education, India","keywords":"Algorithm; Artificial intelligence; Computer science; Mathematics","score_opus":0.03570423498377865,"score_gpt":0.32516361190085674,"score_spread":0.28945937691707807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293085866","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43819708,0.0012727354,0.29439265,0.0017129024,0.0016022093,0.00017338069,0.00044474305,0.0010801821,0.26112416],"genre_scores_gemma":[0.9020383,0.00069445133,0.045534197,0.000586473,0.0005573119,0.000085734646,0.00037133408,0.0007815316,0.04935067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992532,0.00013774523,0.000036699304,0.0001504142,0.00020736127,0.00021457521],"domain_scores_gemma":[0.99958104,0.00010310454,0.000051624073,0.0000846875,0.00009632816,0.00008324067],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006212389,0.0008456108,0.0006747157,0.0016324173,0.0021476103,0.0026215406,0.0008865555,0.0008656625,0.011730364],"category_scores_gemma":[0.0022002722,0.0003561555,0.0009460206,0.0009515724,0.0020406342,0.0041283793,0.002231716,0.0021520846,0.002668166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002500515,0.000025491037,0.000138976,0.000035793808,0.000003770722,0.0001916832,0.0005762533,0.00030601633,0.0011703031,0.98168117,0.0016938908,0.014151604],"study_design_scores_gemma":[0.000018609371,0.000041742864,0.0002975453,0.000041843865,0.000011347617,0.0002721162,0.00034445437,0.0048352913,0.003916982,0.97548383,0.014693364,0.00004283036],"about_ca_topic_score_codex":0.0013688529,"about_ca_topic_score_gemma":0.0011849124,"teacher_disagreement_score":0.011730364,"about_ca_system_score_codex":0.0012323973,"about_ca_system_score_gemma":0.0006825133,"threshold_uncertainty_score":0.03924203},"labels":[],"label_agreement":null},{"id":"W4293262811","doi":"10.48550/arxiv.1702.07812","title":"Modularity of generating series of divisors on unitary Shimura varieties","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Shimura variety; Mathematics; Divisor (algebraic geometry); Modularity (biology); Unitary state; Pure mathematics; Series (stratigraphy); Group (periodic table); Algebra over a field; Modular form; Signature (topology); Product (mathematics); Arithmetic; Geometry","score_opus":0.15204692752619225,"score_gpt":0.23551517931843247,"score_spread":0.08346825179224021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293262811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9074959,0.00029532218,0.07390287,0.00035893402,0.00012824473,0.000050896288,0.000103334496,0.00018023129,0.017484378],"genre_scores_gemma":[0.98473203,0.0002012615,0.009105796,0.00005477446,0.00022381112,0.000060562306,0.00012449623,0.000095711,0.005401505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923456,0.00018265941,0.00003923903,0.00014473034,0.0001992686,0.00019956128],"domain_scores_gemma":[0.9983588,0.00053660583,0.00031215893,0.0001501933,0.00017463916,0.00046758424],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018598029,0.0014524984,0.0010742587,0.0047571682,0.0015622526,0.0030731412,0.0015148543,0.0010967875,0.0052434583],"category_scores_gemma":[0.0046202964,0.0006992256,0.0014191268,0.0015003484,0.0042315773,0.0050557773,0.00303226,0.001728801,0.0007234515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000507323,0.000047112102,0.001167283,0.000033468805,0.000012641774,0.0002612206,0.0005700301,0.001893357,0.0022571804,0.98890847,0.00035144942,0.004446931],"study_design_scores_gemma":[0.000042325413,0.000077919576,0.0010537251,0.000028883855,0.000023498493,0.00043708505,0.00016787474,0.025733242,0.0022828025,0.968857,0.0012655638,0.000030136514],"about_ca_topic_score_codex":0.0003300778,"about_ca_topic_score_gemma":0.0004077985,"teacher_disagreement_score":0.0052434583,"about_ca_system_score_codex":0.0018866649,"about_ca_system_score_gemma":0.0004533648,"threshold_uncertainty_score":0.01754111},"labels":[],"label_agreement":null},{"id":"W4293567914","doi":"10.48550/arxiv.2208.12479","title":"A mod-$p$ metaplectic Montréal functor","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Functor; Bijection; Galois module; Pure mathematics; Invariant (physics); Mod; Twist; Discrete mathematics; Geometry","score_opus":0.12398760845672994,"score_gpt":0.217446486261072,"score_spread":0.09345887780434205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293567914","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53456634,0.0004500737,0.2579693,0.0017482702,0.0007179035,0.00010818491,0.00045538187,0.001231287,0.20275325],"genre_scores_gemma":[0.9435909,0.00019993653,0.029617744,0.00029633677,0.00015374423,0.000047607624,0.00020464804,0.00018396617,0.025705036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972755,0.000038155657,0.000008096297,0.00006459602,0.00007826002,0.000083303625],"domain_scores_gemma":[0.99978954,0.00002815773,0.000025312842,0.000051186034,0.00004463542,0.00006115514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003176811,0.0006001259,0.0002933899,0.0013899384,0.00097439374,0.0015306249,0.0005488265,0.00049026747,0.0070979204],"category_scores_gemma":[0.00046553867,0.00019268002,0.00067147845,0.00058242463,0.0020185825,0.0023130993,0.0025626363,0.0013223768,0.00096919964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022744407,0.00001789091,0.00034605784,0.000021211908,0.000003991712,0.00019573414,0.00024695712,0.00035850547,0.003290777,0.98624945,0.0006581899,0.008588452],"study_design_scores_gemma":[0.000022398835,0.00009472716,0.0015531862,0.000024801904,0.000017035049,0.0012343028,0.00035473937,0.007677428,0.008507508,0.94121957,0.039266627,0.000027765773],"about_ca_topic_score_codex":0.0005104773,"about_ca_topic_score_gemma":0.00041958928,"teacher_disagreement_score":0.0070979204,"about_ca_system_score_codex":0.00079214684,"about_ca_system_score_gemma":0.0003607814,"threshold_uncertainty_score":0.02374494},"labels":[],"label_agreement":null},{"id":"W4297445298","doi":"10.1007/s40993-022-00373-2","title":"Definite orthogonal modular forms:computations, excursions, and discoveries","year":2022,"lang":"en","type":"article","venue":"Explore Bristol Research","topic":"Advanced Algebra and Geometry","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; Carleton University","funders":"","keywords":"Ramanujan's sum; Eisenstein series; Modular form; Mathematics; Congruence relation; Pure mathematics; Modular design; Algebra over a field; Rank (graph theory); Computation; Hecke operator; Type (biology); Combinatorics; Computer science; Algorithm","score_opus":0.2272580148182388,"score_gpt":0.436817786061729,"score_spread":0.2095597712434902,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297445298","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8335346,0.0006990409,0.12556356,0.0012631478,0.00015247727,0.000038610906,0.00015279242,0.00025432362,0.038341388],"genre_scores_gemma":[0.9514655,0.00038875817,0.037407596,0.00009341217,0.0002090087,0.000028879764,0.0001635526,0.000092257,0.010151016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990963,0.000147851,0.000058185906,0.00020475463,0.00034360393,0.00014930734],"domain_scores_gemma":[0.99789053,0.000798543,0.0003136558,0.0004430234,0.00021964048,0.00033466684],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012204412,0.00043301022,0.0007221698,0.0027836317,0.0014762164,0.0035712523,0.0010786148,0.00074818806,0.0052402136],"category_scores_gemma":[0.008157514,0.00032866668,0.00057566806,0.0017766342,0.0046034,0.009998559,0.003002908,0.0015675812,0.0006295227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044839056,0.000028501276,0.0016203772,0.000041163075,0.000005565453,0.00013812522,0.0005974512,0.00083984324,0.0011111037,0.98332846,0.00057059777,0.01167405],"study_design_scores_gemma":[0.00000820708,0.000027866641,0.00075990264,0.000023344082,0.000007380884,0.00028096468,0.00031462562,0.007023163,0.0017691449,0.98647285,0.003290325,0.000022259639],"about_ca_topic_score_codex":0.00029265627,"about_ca_topic_score_gemma":0.0003877647,"teacher_disagreement_score":0.0052402136,"about_ca_system_score_codex":0.00077411556,"about_ca_system_score_gemma":0.000278267,"threshold_uncertainty_score":0.017530203},"labels":[],"label_agreement":null},{"id":"W4297855420","doi":"10.48550/arxiv.1604.04238","title":"Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Pacific Institute for the Mathematical Sciences; University of Calgary","funders":"","keywords":"Conjecture; Mathematics; Connection (principal bundle); Langlands dual group; Pure mathematics; Langlands program; Classical group; Algebra over a field; Lie group; Geometry","score_opus":0.09275809702728405,"score_gpt":0.2284496376571499,"score_spread":0.13569154062986585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297855420","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4235111,0.005251133,0.26761383,0.013171919,0.0015689589,0.00011860342,0.0005645077,0.0005219434,0.28767797],"genre_scores_gemma":[0.9647087,0.001164275,0.02041132,0.0008345517,0.00049202336,0.000050721646,0.00017064181,0.000049619837,0.012118269],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995741,0.00008074396,0.000020619958,0.00007838716,0.0001873122,0.0000587766],"domain_scores_gemma":[0.9989312,0.00046846826,0.00008986834,0.00011935782,0.0002443469,0.0001467092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010156009,0.0004308747,0.00043282966,0.0009792825,0.0010232204,0.0012590644,0.0006401248,0.00090748223,0.008615955],"category_scores_gemma":[0.0032045406,0.00020015387,0.00044315614,0.00050136255,0.0030801056,0.0032994086,0.0031124833,0.002805499,0.0008723081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011862454,0.0000062715853,0.00023523002,0.000044636832,0.0000054386,0.00008741234,0.00017691644,0.0004064065,0.0006058002,0.9937781,0.0011869043,0.0034550389],"study_design_scores_gemma":[0.000010628873,0.000014689415,0.00037141546,0.000026780732,0.0000069368966,0.00012749716,0.00008804258,0.0019304244,0.0007965048,0.98937607,0.0072431555,0.000007798983],"about_ca_topic_score_codex":0.0007890291,"about_ca_topic_score_gemma":0.00056999235,"teacher_disagreement_score":0.008615955,"about_ca_system_score_codex":0.00081739953,"about_ca_system_score_gemma":0.000591513,"threshold_uncertainty_score":0.028823197},"labels":[],"label_agreement":null},{"id":"W4298308181","doi":"10.1017/fms.2022.26","title":"Some cases of Kudla’s modularity conjecture for unitary Shimura varieties","year":2022,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Advanced Algebra and Geometry","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":"Mathematics; Shimura variety; Unitary state; Pure mathematics; Conjecture; Modular form; Hermitian matrix; Euclidean geometry; Quadratic equation; Codimension; Wedge (geometry); Series (stratigraphy); Algebra over a field; Geometry","score_opus":0.040494003896235475,"score_gpt":0.2989502130462186,"score_spread":0.25845620914998313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4298308181","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96164036,0.00026073487,0.022648327,0.0011482779,0.000051939067,0.000019917372,0.000038262348,0.0001099202,0.014082236],"genre_scores_gemma":[0.99725634,0.00005687453,0.0017328954,0.000044163215,0.000042431067,0.000011243928,0.000016251433,0.000010036117,0.00082976546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992066,0.00022560151,0.000049752518,0.00012720803,0.00020405184,0.00018675593],"domain_scores_gemma":[0.9984913,0.0006093182,0.00025948035,0.00019972974,0.0001471739,0.00029310194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016838851,0.00035852892,0.00057580305,0.0021652714,0.0017989248,0.0018620435,0.0008558669,0.0015485237,0.0023304306],"category_scores_gemma":[0.0053993566,0.0004263074,0.0007284311,0.0010993388,0.004874067,0.0026327455,0.002302233,0.0010840673,0.00017010192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058265123,0.000017113587,0.001513295,0.000021752307,0.0000070116093,0.00061889633,0.0006045308,0.00091718085,0.001467516,0.99165756,0.00046928384,0.0026476244],"study_design_scores_gemma":[0.0000550363,0.00004087217,0.0018680764,0.000026883654,0.0000142358695,0.0008250995,0.00045304146,0.0180189,0.0018901805,0.9748551,0.0019223513,0.000030130926],"about_ca_topic_score_codex":0.000694019,"about_ca_topic_score_gemma":0.0005011953,"teacher_disagreement_score":0.0023304306,"about_ca_system_score_codex":0.0010087774,"about_ca_system_score_gemma":0.0002580615,"threshold_uncertainty_score":0.008905351},"labels":[],"label_agreement":null},{"id":"W4299562523","doi":"10.1016/j.crma.2010.07.012","title":"Steinberg groups for Jordan pairs","year":2010,"lang":"fr","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Algebra and Geometry","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; Combinatorics; Pure mathematics; Humanities","score_opus":0.024049303729384634,"score_gpt":0.29698095585130285,"score_spread":0.2729316521219182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4299562523","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78117436,0.00065525755,0.07368789,0.0011932143,0.0003469456,0.00008167062,0.00030772664,0.0005633311,0.14198957],"genre_scores_gemma":[0.9571597,0.00030611965,0.0074082436,0.0001817437,0.00022019971,0.00005367033,0.00030686293,0.00007944671,0.03428396],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934167,0.00013072186,0.00002881965,0.0001290344,0.0001593625,0.00021036573],"domain_scores_gemma":[0.99947804,0.00009227575,0.00008579075,0.00006742912,0.000091636546,0.00018487609],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006235457,0.00062962837,0.00043652722,0.0010348986,0.0013153809,0.0017835932,0.00047378137,0.00042725677,0.009840062],"category_scores_gemma":[0.001111648,0.00023282974,0.0005984865,0.00056059135,0.001813482,0.0026141168,0.0027689436,0.0012566461,0.0016642126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054761334,0.000023371676,0.00057446747,0.000030180883,0.0000068412933,0.00013090177,0.0006390445,0.0005949572,0.0025830497,0.9852578,0.0009231868,0.009181351],"study_design_scores_gemma":[0.000032343738,0.0001160959,0.0011722598,0.000017820736,0.000012174819,0.0002042864,0.0005269151,0.002718468,0.005674842,0.97466725,0.014832292,0.000025355921],"about_ca_topic_score_codex":0.00069747283,"about_ca_topic_score_gemma":0.00070610945,"teacher_disagreement_score":0.009840062,"about_ca_system_score_codex":0.0010566626,"about_ca_system_score_gemma":0.0006195977,"threshold_uncertainty_score":0.032918334},"labels":[],"label_agreement":null},{"id":"W4300405338","doi":"10.48550/arxiv.2208.03303","title":"L-packets over strong real forms","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Network packet; Mathematics; Parameterized complexity; Pure mathematics; Computer science; Combinatorics; Computer network","score_opus":0.11117119533338068,"score_gpt":0.24864579159486652,"score_spread":0.13747459626148584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4300405338","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44929215,0.00097121386,0.4008619,0.002139251,0.00084262557,0.00016152032,0.0003890016,0.00040598866,0.14493643],"genre_scores_gemma":[0.89959884,0.0005199871,0.049988385,0.0006469076,0.00045775162,0.00013613336,0.00023619967,0.00028555313,0.048130322],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998926,0.00034299341,0.00006645059,0.00021917229,0.0002577029,0.0001876866],"domain_scores_gemma":[0.9987363,0.00028475665,0.00020287218,0.00021012484,0.0003092452,0.0002567731],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001583232,0.00092169485,0.00045427584,0.002323587,0.0011505006,0.0029811973,0.00077888416,0.0008995265,0.0047937427],"category_scores_gemma":[0.0027607856,0.00038190835,0.001069616,0.00093525567,0.0032984586,0.0066428967,0.0039381147,0.0029755505,0.001003511],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009768159,0.0000072957937,0.00012549153,0.000011493877,0.000004029996,0.00003386373,0.00015684869,0.00021042026,0.00059904205,0.9967706,0.00031932932,0.0017518526],"study_design_scores_gemma":[0.000018239323,0.000058882597,0.0003935147,0.000024015964,0.000014525621,0.00023225728,0.00029479872,0.005525121,0.0023033824,0.9803829,0.010730413,0.00002197935],"about_ca_topic_score_codex":0.00033588157,"about_ca_topic_score_gemma":0.0002537571,"teacher_disagreement_score":0.0047937427,"about_ca_system_score_codex":0.0012507489,"about_ca_system_score_gemma":0.0005200181,"threshold_uncertainty_score":0.01603663},"labels":[],"label_agreement":null},{"id":"W4300508286","doi":"10.48550/arxiv.1806.09175","title":"Some combinatorial identities appearing in the calculation of the\\n cohomology of Siegel modular varieties","year":2018,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Coxeter group; Mathematics; Cohomology; Shimura variety; Pure mathematics; Algebra over a field; Rank (graph theory); Symmetric group; Representation theory; Intersection (aeronautics); Modular form; Combinatorics; Geography","score_opus":0.05788612899538998,"score_gpt":0.21161521076866963,"score_spread":0.15372908177327965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4300508286","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42464748,0.0010362524,0.4964742,0.0020366437,0.0006080582,0.0001346479,0.00023925443,0.0003305129,0.07449296],"genre_scores_gemma":[0.89966494,0.0007327628,0.080014504,0.00025877712,0.00045482613,0.000114942195,0.00024959512,0.00022415357,0.018285502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994054,0.00014867439,0.000039082886,0.000106022715,0.00021881268,0.00008195543],"domain_scores_gemma":[0.99942553,0.00023037687,0.00007155995,0.00012266112,0.00006151611,0.000088337365],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015578179,0.0007285876,0.0005897232,0.0020686463,0.0017124857,0.002689814,0.0017101249,0.0011327368,0.0055362987],"category_scores_gemma":[0.004245627,0.0003354149,0.00070238323,0.0014591007,0.0033547813,0.0061557246,0.0025727616,0.0017736016,0.0010313739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028133576,0.000053009062,0.0014363896,0.00008622965,0.00000953525,0.00030950608,0.00036513762,0.002852665,0.0014419886,0.97298896,0.00090732105,0.019521106],"study_design_scores_gemma":[0.000013175077,0.000039724284,0.0015763105,0.000038666945,0.000015506928,0.00041557767,0.00028632843,0.029310826,0.0051654708,0.9593209,0.0037746131,0.00004294408],"about_ca_topic_score_codex":0.00033799346,"about_ca_topic_score_gemma":0.00054086925,"teacher_disagreement_score":0.0055362987,"about_ca_system_score_codex":0.0007359483,"about_ca_system_score_gemma":0.0005537154,"threshold_uncertainty_score":0.018520713},"labels":[],"label_agreement":null},{"id":"W4301488563","doi":"","title":"Level-raising and symmetric power functoriality, I","year":2013,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Advanced Algebra and Geometry","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":"Raising (metalworking); Power (physics); Mathematics; Physics; Geometry","score_opus":0.049159181228080155,"score_gpt":0.2831013734309587,"score_spread":0.23394219220287854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4301488563","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34633437,0.0019732595,0.27355996,0.0048692864,0.0015518934,0.00007915513,0.0002576699,0.0006378209,0.37073663],"genre_scores_gemma":[0.96373314,0.00041488474,0.016040182,0.0004426944,0.00037930717,0.000029539613,0.0001241789,0.000053891472,0.01878213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992581,0.00012831092,0.000050423358,0.00018892672,0.00020741054,0.00016682665],"domain_scores_gemma":[0.9993143,0.0001515948,0.000084240215,0.0001758398,0.00012982539,0.0001442322],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010340539,0.00043241316,0.00028339634,0.00087450317,0.0012695538,0.0021966174,0.0005508733,0.00084745226,0.006943585],"category_scores_gemma":[0.0019823462,0.00016001138,0.0008962145,0.000457739,0.0038690805,0.0051100287,0.0026568207,0.001557275,0.0010014776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008037039,0.000009938551,0.00023815656,0.000020018018,0.0000024555761,0.00014155378,0.00020158531,0.00012794406,0.0011179096,0.9936056,0.00067246443,0.0038542086],"study_design_scores_gemma":[0.0000044926114,0.000026518484,0.00045038384,0.0000127634,0.0000064093874,0.00054647896,0.00014757655,0.0019529074,0.0024467374,0.98678976,0.007604622,0.000011257186],"about_ca_topic_score_codex":0.00029321763,"about_ca_topic_score_gemma":0.0002103188,"teacher_disagreement_score":0.006943585,"about_ca_system_score_codex":0.0007960033,"about_ca_system_score_gemma":0.00049031235,"threshold_uncertainty_score":0.023228586},"labels":[],"label_agreement":null},{"id":"W4307444641","doi":"10.1090/tran/8843","title":"A genus two arithmetic Siegel-Weil formula on 𝑋₀(𝑁)","year":2022,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","score_opus":0.019504014969935497,"score_gpt":0.2941460566390152,"score_spread":0.27464204166907974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4307444641","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5767681,0.001407629,0.11424405,0.0022027264,0.0009527915,0.00011229068,0.00080172473,0.00082414976,0.30268657],"genre_scores_gemma":[0.9273757,0.0006164032,0.014440367,0.0003078055,0.00033841497,0.00007800814,0.00046333284,0.00022232583,0.056157697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995833,0.000048583424,0.000016651013,0.000093553535,0.00012810859,0.00012979658],"domain_scores_gemma":[0.99959904,0.00007759119,0.00006440246,0.000041543495,0.00010384474,0.0001136791],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045033684,0.0011004658,0.0005822945,0.002542193,0.0015684068,0.0025111577,0.0006985146,0.0007637926,0.011565969],"category_scores_gemma":[0.0011609559,0.00032459982,0.0006729112,0.0014386072,0.0020630036,0.0027583202,0.0022864356,0.0018146657,0.0021632905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041396717,0.000017065207,0.0004679217,0.00004423546,0.000008223895,0.00024589006,0.00038540232,0.000647285,0.0015626438,0.97917527,0.0028446964,0.014560033],"study_design_scores_gemma":[0.000026768745,0.00006826349,0.0011644553,0.000048372465,0.000021606249,0.00065003376,0.00033865776,0.0052146097,0.0033406904,0.95709485,0.0319814,0.000050346873],"about_ca_topic_score_codex":0.0011317957,"about_ca_topic_score_gemma":0.0008274675,"teacher_disagreement_score":0.011565969,"about_ca_system_score_codex":0.0015049924,"about_ca_system_score_gemma":0.00049884414,"threshold_uncertainty_score":0.038692057},"labels":[],"label_agreement":null},{"id":"W4309749629","doi":"10.1007/s40687-022-00360-0","title":"Iwasawa theory of automorphic representations of $$\\textrm{GL}_{2n}$$ at non-ordinary primes","year":2022,"lang":"en","type":"article","venue":"Research in the Mathematical Sciences","topic":"Advanced Algebra and Geometry","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 Ottawa","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Galois module; Iwasawa theory; Prime (order theory); Automorphic form; Bounded function; Pure mathematics; Galois group; Elliptic curve; Algebraic number field; Artin L-function; Algebra over a field; Combinatorics; Conjecture; Mathematical analysis; Geometry","score_opus":0.22972832536204607,"score_gpt":0.478979063997822,"score_spread":0.2492507386357759,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309749629","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60658187,0.0013179048,0.11100597,0.0045155613,0.00093083066,0.000061566054,0.00029104986,0.0005465143,0.2747487],"genre_scores_gemma":[0.9413062,0.000427991,0.010038907,0.00069493655,0.0007131483,0.000058280817,0.00016923368,0.00024147097,0.04634992],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928576,0.00016208919,0.000026184178,0.00013848113,0.00017288911,0.00021468967],"domain_scores_gemma":[0.9993119,0.00018826117,0.000116308205,0.0001031767,0.00011287748,0.00016743384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009357468,0.0013089099,0.0011434496,0.0027096546,0.0027608252,0.0045965416,0.0018813486,0.0017716704,0.011662141],"category_scores_gemma":[0.0019020803,0.00069423765,0.0010494471,0.0014998885,0.0040927436,0.005722417,0.002263665,0.0032999718,0.001680328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021795737,0.000018036864,0.000049017544,0.000012202805,0.0000033354854,0.000050776165,0.0001148564,0.00032994096,0.0005413108,0.99714124,0.00043044213,0.0012871184],"study_design_scores_gemma":[0.000009436767,0.000008679076,0.00012366286,0.000008176847,0.0000025127333,0.00006700996,0.000041919768,0.0023089289,0.00023544536,0.99641776,0.00076748326,0.000009061715],"about_ca_topic_score_codex":0.0011224828,"about_ca_topic_score_gemma":0.00095174095,"teacher_disagreement_score":0.011662141,"about_ca_system_score_codex":0.002028836,"about_ca_system_score_gemma":0.0009368062,"threshold_uncertainty_score":0.039013803},"labels":[],"label_agreement":null},{"id":"W4310084461","doi":"10.4171/owr/2021/39","title":"Automorphic Forms, Geometry and Arithmetic","year":2022,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Advanced Algebra and Geometry","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":"Langlands program; Automorphic form; Automorphic L-function; Mathematics; Arithmetic; Langlands–Shahidi method; Algebra over a field; Langlands dual group; Pure mathematics; Geometry; Conjecture","score_opus":0.024722640468643746,"score_gpt":0.27938932385062376,"score_spread":0.25466668338198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4310084461","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07081644,0.09091975,0.06913819,0.044704545,0.0073976605,0.00003700208,0.00043391064,0.00038086227,0.71617156],"genre_scores_gemma":[0.65971476,0.053781338,0.0220003,0.004617064,0.010070644,0.00006325118,0.0004884874,0.00015768858,0.24910645],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997143,0.00010266946,0.000015041868,0.00005246564,0.00008138834,0.000034091987],"domain_scores_gemma":[0.999754,0.00009594854,0.000019872801,0.000036618418,0.000048969745,0.00004450946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057220616,0.0004195289,0.00030603993,0.0011642511,0.00064920215,0.0018621581,0.00021737088,0.00051352876,0.011863927],"category_scores_gemma":[0.000804402,0.00013644023,0.00019465957,0.0011466444,0.0019395826,0.0031935135,0.001231438,0.0015777368,0.001393929],"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":[0.000005572614,0.0000054798547,0.000089198984,0.000032392327,0.0000028074091,0.00002265014,0.00014132893,0.00013601311,0.0005834438,0.9708378,0.011444248,0.016699104],"study_design_scores_gemma":[0.0000037705533,0.000015444546,0.0005659124,0.00004154998,0.0000032728847,0.000100200275,0.00014850007,0.0003838323,0.0004735476,0.84958476,0.14867048,0.000008764275],"about_ca_topic_score_codex":0.00080136466,"about_ca_topic_score_gemma":0.001231149,"teacher_disagreement_score":0.011863927,"about_ca_system_score_codex":0.0010515793,"about_ca_system_score_gemma":0.000495335,"threshold_uncertainty_score":0.039688766},"labels":[],"label_agreement":null},{"id":"W4315490869","doi":"10.1093/qmath/haac044","title":"Filtrations on the representation ring of an affine algebraic group","year":2023,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Ring (chemistry); Filtration (mathematics); Torus; Field (mathematics); Algebraic group; Group (periodic table); Algebraic number; Spin (aerodynamics); Affine transformation; Perfect field; Conjecture; Pure mathematics; Combinatorics; Topology (electrical circuits); Physics; Geometry; Mathematical analysis; Quantum mechanics","score_opus":0.06809085552721517,"score_gpt":0.34464444322643617,"score_spread":0.276553587699221,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4315490869","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93770117,0.00044241193,0.031584274,0.00048003352,0.00017760292,0.000036416583,0.00013026624,0.0003364643,0.029111343],"genre_scores_gemma":[0.9910261,0.00015088444,0.0039294795,0.00008820177,0.00013860255,0.000020308862,0.00012531542,0.000028028793,0.004493066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991423,0.00015952121,0.00005531617,0.00016569778,0.00019710041,0.00028007955],"domain_scores_gemma":[0.9989286,0.000177955,0.00017314604,0.00011443348,0.00014242469,0.00046346846],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010734571,0.00059534435,0.0006313159,0.0020984926,0.0017141249,0.0028980966,0.00045429383,0.00067977357,0.0035013051],"category_scores_gemma":[0.0010505549,0.0002714694,0.0011321866,0.0007166021,0.0026021677,0.0026884188,0.0021068037,0.0010465183,0.00055683806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013004943,0.000091696085,0.001273988,0.00004343657,0.000018878793,0.00060231733,0.0009679969,0.0012751576,0.008823278,0.9794607,0.00077879045,0.0065337108],"study_design_scores_gemma":[0.00010170834,0.00054155255,0.0057922467,0.00006183187,0.00006707276,0.0016456917,0.00085261697,0.013504828,0.017471006,0.9476031,0.012220078,0.00013833639],"about_ca_topic_score_codex":0.0010006969,"about_ca_topic_score_gemma":0.0005440538,"teacher_disagreement_score":0.0035013051,"about_ca_system_score_codex":0.001222387,"about_ca_system_score_gemma":0.00052215066,"threshold_uncertainty_score":0.011713028},"labels":[],"label_agreement":null},{"id":"W4318052979","doi":"10.4153/s0008439523000097","title":"A parametrization of sheets of conjugacy classes in bad characteristic","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Università degli Studi di Padova; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Mathematics; Conjugacy class; Centralizer and normalizer; Unipotent; Algebraically closed field; Algebraic group; Pure mathematics; Parametrization (atmospheric modeling); Reductive group; Type (biology); Element (criminal law); Algebraic number; Combinatorics; Mathematical analysis; Group theory","score_opus":0.03164263188395048,"score_gpt":0.29965735483422024,"score_spread":0.26801472295026973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318052979","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9556216,0.00018146393,0.013890533,0.0001623534,0.000056108533,0.00003176239,0.000087167624,0.00019204302,0.02977686],"genre_scores_gemma":[0.9961033,0.000066998786,0.001293698,0.000020798569,0.00002387321,0.000013824292,0.000045416902,0.00002884034,0.0024032933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999673,0.000051807125,0.000018316186,0.000076054,0.00008479178,0.00009588689],"domain_scores_gemma":[0.9995142,0.000087489076,0.000110184184,0.00010871278,0.000042564545,0.00013680106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035912808,0.00046031948,0.0004917474,0.0022542481,0.001673303,0.003468412,0.00036669598,0.0005464064,0.003718888],"category_scores_gemma":[0.0011306577,0.00040039668,0.00042633567,0.0009812088,0.0025107088,0.0028275347,0.0017361564,0.0012246391,0.0004386682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003918448,0.00007049552,0.009107594,0.000042559408,0.000036100206,0.0013300324,0.002015956,0.004447789,0.01513985,0.9542139,0.00090247166,0.012301422],"study_design_scores_gemma":[0.000100217316,0.00017105158,0.0135527905,0.000088437,0.000066463355,0.0016152414,0.0014725052,0.01668065,0.0105088325,0.93750006,0.018159453,0.0000842512],"about_ca_topic_score_codex":0.0004858542,"about_ca_topic_score_gemma":0.00039323297,"teacher_disagreement_score":0.003718888,"about_ca_system_score_codex":0.0011693755,"about_ca_system_score_gemma":0.0002230252,"threshold_uncertainty_score":0.01244092},"labels":[],"label_agreement":null},{"id":"W4320152779","doi":"10.4310/pamq.2022.v18.n5.a1","title":"Real quadratic Borcherds products","year":2022,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Quadratic equation; Pure mathematics; Algebra over a field; Geometry","score_opus":0.021506198899683616,"score_gpt":0.27124925916325404,"score_spread":0.24974306026357043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4320152779","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6936938,0.0009134415,0.092286855,0.0014207097,0.0004675572,0.00009665727,0.00029041228,0.00041044783,0.21042019],"genre_scores_gemma":[0.9478184,0.00030030074,0.010802964,0.00015633901,0.00018385626,0.000031258587,0.00014837935,0.0000751231,0.040483404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967146,0.00005065508,0.00001718263,0.000080407386,0.00010954453,0.00007085392],"domain_scores_gemma":[0.9997218,0.000036300247,0.000047863577,0.00005448751,0.000060810955,0.000078633704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047051732,0.00055852946,0.00036615942,0.0011293687,0.0008908393,0.0012975032,0.0003706697,0.0004987562,0.009133622],"category_scores_gemma":[0.0008968842,0.00023040742,0.00037772252,0.00040804583,0.0016668655,0.00254904,0.0014618983,0.0009566325,0.0011045372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019782721,0.0000076202305,0.00012647444,0.000015895075,0.0000026053604,0.00008412778,0.00017949159,0.0002640802,0.0019240979,0.992735,0.0003939406,0.004246913],"study_design_scores_gemma":[0.000033005228,0.00009973153,0.0007075424,0.000023921006,0.000008632382,0.0004855863,0.0002459185,0.0047653727,0.0037873392,0.96623313,0.023589196,0.000020565243],"about_ca_topic_score_codex":0.0004429416,"about_ca_topic_score_gemma":0.00033989054,"teacher_disagreement_score":0.009133622,"about_ca_system_score_codex":0.000702233,"about_ca_system_score_gemma":0.0002950713,"threshold_uncertainty_score":0.03055495},"labels":[],"label_agreement":null},{"id":"W4320523435","doi":"10.4171/dm/536","title":"Some endoscopic properties of the essentially tame Jacquet-Langlands correspondence","year":2016,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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":"McMaster University","keywords":"Mathematics; Algebra over a field; Pure mathematics; Mathematics education","score_opus":0.029251693231749972,"score_gpt":0.28532486511954835,"score_spread":0.2560731718877984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4320523435","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8932735,0.00032312577,0.035996675,0.0006943242,0.0000743027,0.000039685816,0.000099271085,0.00013553257,0.06936356],"genre_scores_gemma":[0.9899726,0.0001496421,0.003353062,0.00007851922,0.00008525456,0.000021174012,0.000059991627,0.000024153984,0.006255673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996141,0.00007580079,0.000020223599,0.00008285336,0.00010549049,0.00010153556],"domain_scores_gemma":[0.99943036,0.00013570036,0.000107670174,0.000090959504,0.000078876394,0.00015637289],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057780335,0.00027930358,0.00033538882,0.0010001574,0.0011446227,0.0016167922,0.0003990491,0.0006201007,0.0041439347],"category_scores_gemma":[0.0012499486,0.00024903298,0.00047056438,0.00055687677,0.0026830991,0.0030210428,0.0020270466,0.0013457387,0.00039892585],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003759217,0.00001652675,0.0008373649,0.000021741309,0.000004875608,0.00031862024,0.000693076,0.00032253593,0.002553049,0.9916677,0.00031659481,0.0032103672],"study_design_scores_gemma":[0.00006617204,0.00019453048,0.0035343368,0.000031483596,0.000027090158,0.0016675501,0.0011933052,0.007400284,0.0050409487,0.9689359,0.01186005,0.000048467093],"about_ca_topic_score_codex":0.00033410877,"about_ca_topic_score_gemma":0.00019277925,"teacher_disagreement_score":0.0041439347,"about_ca_system_score_codex":0.0005432252,"about_ca_system_score_gemma":0.00023011761,"threshold_uncertainty_score":0.013862789},"labels":[],"label_agreement":null},{"id":"W4322492163","doi":"10.1515/forum-2022-0235","title":"A Shimura–Shintani correspondence for rigid analytic cocycles of higher weight","year":2023,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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":"","keywords":"Mathematics; Meromorphic function; Holomorphic function; Multiplicative function; Combinatorics; Algebra over a field; Pure mathematics; Mathematical analysis","score_opus":0.051138208641312716,"score_gpt":0.3642100322446608,"score_spread":0.31307182360334807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4322492163","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81460977,0.00027784545,0.116362065,0.0006256712,0.00035104886,0.000062785555,0.000097165925,0.0006065873,0.0670071],"genre_scores_gemma":[0.976226,0.00012975238,0.008948643,0.000117546835,0.00013393414,0.00003169556,0.0000603365,0.0001245402,0.014227584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952793,0.000064566986,0.000021043794,0.000107252694,0.00015299914,0.00012615095],"domain_scores_gemma":[0.9996799,0.000050646522,0.000048213038,0.000050706447,0.00006123555,0.00010923979],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003955022,0.00056114787,0.00043782935,0.0017427001,0.0010508902,0.0014305279,0.0005826845,0.0005792662,0.009041873],"category_scores_gemma":[0.0008773797,0.00026100708,0.00061401445,0.0007296003,0.0015143473,0.0018137092,0.0014534959,0.0010267798,0.0012442481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004238479,0.00003770493,0.00034917035,0.00003254065,0.0000051244747,0.00022692884,0.00046951245,0.0006076971,0.0045339153,0.98241514,0.0009279341,0.010351838],"study_design_scores_gemma":[0.000045692417,0.0001589394,0.002193022,0.000037928894,0.000020488947,0.0007667706,0.0006503772,0.020833489,0.0060330513,0.9523529,0.016851816,0.000055558714],"about_ca_topic_score_codex":0.00048173143,"about_ca_topic_score_gemma":0.00033732306,"teacher_disagreement_score":0.009041873,"about_ca_system_score_codex":0.000813045,"about_ca_system_score_gemma":0.00028839876,"threshold_uncertainty_score":0.030248106},"labels":[],"label_agreement":null},{"id":"W4322505874","doi":"10.1016/j.jnt.2023.01.010","title":"Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type E7,3","year":2023,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lift (data mining); Type (biology); Series (stratigraphy); Group (periodic table); Rationality; Pure mathematics; Computer science; Physics; Quantum mechanics","score_opus":0.057952868955886534,"score_gpt":0.3452391484763052,"score_spread":0.2872862795204187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4322505874","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80585396,0.0011007685,0.042975426,0.0025054726,0.0019255263,0.00008707509,0.00043259378,0.00054379913,0.14457522],"genre_scores_gemma":[0.95896196,0.00048724018,0.007556351,0.0004191826,0.0010779116,0.00006826555,0.0003225025,0.00021447435,0.030892134],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924624,0.00014069163,0.00003854362,0.000111728106,0.0002374186,0.00022539691],"domain_scores_gemma":[0.9991691,0.00013956256,0.00012746287,0.000075856915,0.00012337443,0.00036470397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011537287,0.0016655861,0.0017716924,0.0054366807,0.003707267,0.004194463,0.0018463184,0.0021888043,0.013248368],"category_scores_gemma":[0.002324582,0.0005979409,0.001844502,0.0019545848,0.004448295,0.0042928364,0.0033365532,0.0033823617,0.002380017],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019060714,0.000055053075,0.0005778673,0.000052836134,0.000026562155,0.00089622324,0.0004538041,0.0011619169,0.0019804453,0.987872,0.0016778196,0.005054986],"study_design_scores_gemma":[0.00007096668,0.00006412265,0.0010842696,0.000040982723,0.000031787942,0.0007690295,0.00026679784,0.008972869,0.0012512245,0.9829896,0.004400261,0.000058103833],"about_ca_topic_score_codex":0.0013039203,"about_ca_topic_score_gemma":0.0010264331,"teacher_disagreement_score":0.013248368,"about_ca_system_score_codex":0.002389943,"about_ca_system_score_gemma":0.0010431564,"threshold_uncertainty_score":0.044320166},"labels":[],"label_agreement":null},{"id":"W4322776039","doi":"10.1007/s00208-023-02586-x","title":"Correction to: A Donaldson–Uhlenbeck–Yau theorem for normal varieties and semistable bundles on degenerating families","year":2023,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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; Pure mathematics","score_opus":0.04322715502849727,"score_gpt":0.31560549558559925,"score_spread":0.27237834055710197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4322776039","genre_codex":"editorial","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00067204435,0.0019333265,0.003014871,0.07687203,0.90647995,0.000018263563,0.0011427631,0.0005256281,0.0093411],"genre_scores_gemma":[0.07099773,0.00941388,0.009276213,0.061198205,0.47779834,0.00013133019,0.0022665241,0.0024693245,0.36644852],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9967691,0.00050493295,0.00045724318,0.00067385635,0.0012416263,0.00035329058],"domain_scores_gemma":[0.9824477,0.0032479274,0.0008790085,0.0017528299,0.010680317,0.0009922718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033671726,0.0019869476,0.001668791,0.004261558,0.0035774137,0.0046098586,0.002779003,0.0058225757,0.05269776],"category_scores_gemma":[0.035474174,0.0009390429,0.0012787124,0.00306964,0.0032762354,0.0052659702,0.0022343697,0.008128764,0.02086452],"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":[0.000055838973,0.000009055469,0.00016155509,0.00015451667,0.00002726172,0.00016471131,0.0001014397,0.000111790854,0.000096180316,0.020712186,0.9700997,0.0083058085],"study_design_scores_gemma":[0.000045657274,0.00001561069,0.001046639,0.00013101423,0.00004605892,0.0005525887,0.00008914189,0.0006686818,0.00036423188,0.02259657,0.97438806,0.000055827742],"about_ca_topic_score_codex":0.010155402,"about_ca_topic_score_gemma":0.011271833,"teacher_disagreement_score":0.05269776,"about_ca_system_score_codex":0.005734282,"about_ca_system_score_gemma":0.003969678,"threshold_uncertainty_score":0.17629158},"labels":[],"label_agreement":null},{"id":"W4323664288","doi":"10.4153/s0008439523000206","title":"A note on weight systems which are quantum states","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"New York University Abu Dhabi","keywords":"Mathematics; Representation (politics); Quantum; Pure mathematics; Algebra over a field; Quantum mechanics; Law; Political science","score_opus":0.026229048240126975,"score_gpt":0.2799264306506114,"score_spread":0.25369738241048445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4323664288","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46343428,0.0014475015,0.11682444,0.0069728927,0.0016629909,0.00008933029,0.0003383404,0.00034633072,0.40888384],"genre_scores_gemma":[0.9657461,0.00058620353,0.018873721,0.0009648323,0.0004625953,0.00004215444,0.00009460186,0.00007570185,0.013154024],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999491,0.00013146731,0.000030975065,0.00009364951,0.0001466312,0.000106215695],"domain_scores_gemma":[0.99930775,0.00023242862,0.00008643372,0.00016202613,0.000110986366,0.000100219266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000801661,0.0002780983,0.0003657873,0.00092493347,0.0026634182,0.0023821716,0.00059346436,0.0009848492,0.006920846],"category_scores_gemma":[0.002171473,0.00035776393,0.00049862976,0.0009538916,0.0042439317,0.0041736457,0.0019076495,0.0022794486,0.00043697187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033793676,0.0000027851124,0.000043657365,0.000004636733,7.3006487e-7,0.00002189117,0.00010401658,0.000080852056,0.00038526795,0.9980586,0.00045388404,0.0008402735],"study_design_scores_gemma":[0.0000029946955,0.0000066816515,0.00010556504,0.0000056621707,0.0000017912525,0.000033091612,0.000056847683,0.0010746659,0.0002814319,0.99532086,0.0031047259,0.0000056664276],"about_ca_topic_score_codex":0.0018670523,"about_ca_topic_score_gemma":0.0026595592,"teacher_disagreement_score":0.006920846,"about_ca_system_score_codex":0.0009852045,"about_ca_system_score_gemma":0.00056560576,"threshold_uncertainty_score":0.02315253},"labels":[],"label_agreement":null},{"id":"W4324107115","doi":"10.48550/arxiv.2303.05602","title":"Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Mathematics; Symplectic geometry; Pure mathematics; Mathematical analysis; Symplectic vector space; Dimension (graph theory); Eigenvalues and eigenvectors; Kernel (algebra); Matrix (chemical analysis); Action (physics); Symplectic group; Moduli space; Symplectic matrix; Moment map; Symplectic representation; Physics","score_opus":0.09659934400621698,"score_gpt":0.2485965914275464,"score_spread":0.15199724742132942,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4324107115","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74839187,0.0008852339,0.20210685,0.0010889367,0.00018002103,0.000052720698,0.00016938335,0.00012070421,0.04700419],"genre_scores_gemma":[0.974777,0.00065466424,0.014414939,0.00010807302,0.00020394634,0.000031682783,0.00009718528,0.00008938283,0.009623093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966395,0.00006954415,0.000018490968,0.000051989486,0.000126599,0.00006944235],"domain_scores_gemma":[0.9996481,0.00006308465,0.00008071705,0.000045969486,0.00007131826,0.00009092077],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054282486,0.0006486922,0.00047936875,0.002336027,0.00079518114,0.002277855,0.0006225606,0.0006597755,0.0039536115],"category_scores_gemma":[0.0011711675,0.00025173053,0.0005326523,0.0008358701,0.0024796275,0.0040884465,0.001302248,0.0012746091,0.0005598443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008510896,0.000012250641,0.00015147886,0.000013304744,0.0000025346242,0.00006584853,0.00014665868,0.0013473881,0.0013857597,0.9948468,0.00013163737,0.0018878322],"study_design_scores_gemma":[0.000009905464,0.000023583982,0.0003983794,0.000014853606,0.000003337594,0.00016770046,0.00014381083,0.022343097,0.0009334262,0.97428745,0.0016599,0.00001457747],"about_ca_topic_score_codex":0.0007343633,"about_ca_topic_score_gemma":0.0006487299,"teacher_disagreement_score":0.0039536115,"about_ca_system_score_codex":0.0007197171,"about_ca_system_score_gemma":0.0004532315,"threshold_uncertainty_score":0.0132261515},"labels":[],"label_agreement":null},{"id":"W435139180","doi":"10.1007/978-0-8176-4741-4","title":"Developments and Trends in Infinite-Dimensional Lie Theory","year":2010,"lang":"en","type":"book","venue":"Progress in mathematics","topic":"Advanced Algebra and Geometry","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 Alberta","funders":"","keywords":"Core (optical fiber); Lie theory; Mathematics; Calculus (dental); Epistemology; Sociology; Algebra over a field; Computer science; Pure mathematics; Philosophy; Adjoint representation of a Lie algebra; Lie conformal algebra; Medicine","score_opus":0.02975120590797519,"score_gpt":0.32406230040716333,"score_spread":0.29431109449918813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W435139180","genre_codex":"other","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009047768,0.25492412,0.016316492,0.01595599,0.0069702994,0.000012015856,0.00012186021,0.00023513802,0.6964164],"genre_scores_gemma":[0.15934396,0.26827484,0.01227171,0.004771401,0.0147434585,0.000077457385,0.00046280463,0.00033978646,0.5397145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965906,0.000096729425,0.000012940291,0.000042708805,0.00015731581,0.00003125892],"domain_scores_gemma":[0.9996045,0.00020287394,0.000022273725,0.00003307101,0.00008852389,0.000048781538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058801443,0.00048907095,0.00032542992,0.0012850068,0.0008190703,0.002656591,0.0004889258,0.00076290464,0.009188118],"category_scores_gemma":[0.0011123255,0.00021165598,0.00033635052,0.0012226467,0.0019880352,0.004307843,0.0010554318,0.0022279613,0.0038413848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000060539173,0.0000109708135,0.00006334145,0.000127443,0.0000038921903,0.00007722021,0.0005062013,0.00033117837,0.00031823537,0.9342979,0.04096484,0.023292685],"study_design_scores_gemma":[0.0000024611966,0.000014777294,0.00022567082,0.00021128361,0.000003445075,0.00023670013,0.00021018652,0.0007774525,0.00020977578,0.39591494,0.60218424,0.00000910032],"about_ca_topic_score_codex":0.00047914285,"about_ca_topic_score_gemma":0.0006977883,"teacher_disagreement_score":0.009188118,"about_ca_system_score_codex":0.0011115082,"about_ca_system_score_gemma":0.00067894714,"threshold_uncertainty_score":0.03073728},"labels":[],"label_agreement":null},{"id":"W4353000260","doi":"10.2140/pjm.2022.321.239","title":"Appearance of the Kashiwara–Saito singularityin the representation theory of p-adic GL(16)","year":2022,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Lethbridge; University of Calgary","funders":"","keywords":"Mathematics; Pure mathematics; Irreducible representation; Basis (linear algebra); Singularity; Representation (politics); Equivalence (formal languages); Vector space; Type (biology); Space (punctuation); Moduli space; Distribution (mathematics); Algebra over a field; Mathematical analysis; Geometry","score_opus":0.0396087377611406,"score_gpt":0.2981415707126273,"score_spread":0.2585328329514867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4353000260","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86549103,0.0006433564,0.0871446,0.0009510222,0.00014344274,0.00004525108,0.000040300918,0.00008083913,0.045460284],"genre_scores_gemma":[0.98376507,0.00027216968,0.009705921,0.00009968811,0.000054412758,0.00001666499,0.000025283754,0.00001967554,0.0060411794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978405,0.000030637777,0.000009627843,0.000035226694,0.00009131228,0.000049139493],"domain_scores_gemma":[0.9998159,0.000032695225,0.00003638973,0.000027536418,0.00003490257,0.000052684474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035864703,0.00039887166,0.0003016082,0.00092903257,0.0014003796,0.0016251187,0.0004819905,0.0006074095,0.0015559047],"category_scores_gemma":[0.0007270939,0.00020747873,0.00051027763,0.0006220295,0.0024264522,0.0021475856,0.0015069684,0.0017661098,0.00024250321],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020257168,0.000013576798,0.000522169,0.000019669716,0.000003800076,0.00022642848,0.0008524164,0.00042807893,0.0039386544,0.9875444,0.00023862622,0.00619197],"study_design_scores_gemma":[0.000014781416,0.00007073481,0.0010648376,0.000025738345,0.000008609861,0.00066413154,0.0005449515,0.0064907866,0.004714379,0.98134047,0.0050296993,0.00003083439],"about_ca_topic_score_codex":0.00054159074,"about_ca_topic_score_gemma":0.00045936194,"teacher_disagreement_score":0.0016251187,"about_ca_system_score_codex":0.00056858594,"about_ca_system_score_gemma":0.0004416952,"threshold_uncertainty_score":0.0052049756},"labels":[],"label_agreement":null},{"id":"W4360838580","doi":"10.2140/ant.2023.17.435","title":"Geometric properties of the Kazhdan–LusztigSchubert basis","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Pure mathematics; Basis (linear algebra); Schubert variety; Algebra over a field; Geometry","score_opus":0.03575369993653272,"score_gpt":0.27960073557807846,"score_spread":0.24384703564154575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4360838580","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9674082,0.00017078558,0.014102665,0.00018523632,0.000018529488,0.000013362056,0.000059514856,0.000041262414,0.018000511],"genre_scores_gemma":[0.9964461,0.0000680739,0.0015830322,0.0000137413235,0.000019463216,0.000009760966,0.00004972074,0.000010194783,0.0017999444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997937,0.00003404378,0.0000071678023,0.000039634928,0.000057487166,0.00006809117],"domain_scores_gemma":[0.99976486,0.000046754107,0.00005676487,0.000022969249,0.000034220266,0.000074519725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003031274,0.0002775029,0.00033159365,0.0020806815,0.0012000399,0.0016067236,0.00046470758,0.00036667255,0.0026236535],"category_scores_gemma":[0.0007384162,0.0001667003,0.00023753518,0.000802011,0.0019532877,0.0016597355,0.00086268876,0.00088518724,0.0003130232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003498437,0.000024033605,0.002195955,0.000015798401,0.000004424364,0.000063824955,0.00032181334,0.0018005429,0.0030943293,0.98691934,0.00036083773,0.0051641553],"study_design_scores_gemma":[0.00002392073,0.00007563153,0.007346707,0.000029072919,0.000015333067,0.00033717797,0.0006491501,0.025699772,0.0065150876,0.95475477,0.0045064054,0.00004701948],"about_ca_topic_score_codex":0.0009535839,"about_ca_topic_score_gemma":0.00064725423,"teacher_disagreement_score":0.0026236535,"about_ca_system_score_codex":0.000720346,"about_ca_system_score_gemma":0.00024871455,"threshold_uncertainty_score":0.008776963},"labels":[],"label_agreement":null},{"id":"W4360846258","doi":"10.1515/crelle-2023-0002","title":"A twistor transform and normal forms for Cauchy Riemann structures","year":2023,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","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":"Holomorphic function; Physics; Combinatorics; Quadric; Mathematics; Mathematical analysis","score_opus":0.033796189083701036,"score_gpt":0.34621694185301216,"score_spread":0.31242075276931114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4360846258","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7379282,0.0002498784,0.11035824,0.0012469495,0.00047024322,0.00010037897,0.0001859691,0.0003978544,0.14906229],"genre_scores_gemma":[0.959403,0.00013766252,0.01082641,0.00010673983,0.00011005546,0.000030573192,0.000134045,0.00014905506,0.029102376],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936205,0.00013126245,0.000024756426,0.00010083609,0.0002572684,0.00012371723],"domain_scores_gemma":[0.99964213,0.0000481104,0.000045121335,0.000047979815,0.00010031152,0.000116259354],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004919256,0.0005737804,0.00046392108,0.0017428725,0.0014109779,0.0018611585,0.000595318,0.00064231385,0.008711694],"category_scores_gemma":[0.0014843564,0.00022758453,0.0005776712,0.00067805924,0.0024326954,0.0021565186,0.0019320659,0.0018111772,0.0013860322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044538312,0.000022974553,0.00023152417,0.00001234975,0.00000363728,0.00023653252,0.0002693181,0.0011582763,0.0029241256,0.9881004,0.00069739105,0.006298946],"study_design_scores_gemma":[0.00004405919,0.00012981582,0.00075334747,0.000016207667,0.0000071364384,0.000528514,0.0004253524,0.017161429,0.0049732625,0.9643589,0.011558193,0.000043773976],"about_ca_topic_score_codex":0.0016131395,"about_ca_topic_score_gemma":0.0009861453,"teacher_disagreement_score":0.008711694,"about_ca_system_score_codex":0.0016022215,"about_ca_system_score_gemma":0.00054981787,"threshold_uncertainty_score":0.029143512},"labels":[],"label_agreement":null},{"id":"W4360890641","doi":"10.48550/arxiv.2303.13289","title":"On the irreducibility of $p$-adic Banach principal series of $p$-adic $\\mathrm{GL}_3$","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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","keywords":"Irreducibility; Conjecture; Mathematics; Series (stratigraphy); Principal (computer security); Pure mathematics; Combinatorics; Discrete mathematics; Computer science","score_opus":0.1992374632499799,"score_gpt":0.24648705575931587,"score_spread":0.04724959250933597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4360890641","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7285409,0.0009056937,0.13301243,0.002033596,0.0003773666,0.000065595974,0.00026021848,0.00030944002,0.13449475],"genre_scores_gemma":[0.98131245,0.00033437004,0.009589351,0.00016933205,0.0002597476,0.000046314053,0.00011850666,0.000073533905,0.008096486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991509,0.00016362777,0.00005444419,0.0002204626,0.00024062784,0.00016994959],"domain_scores_gemma":[0.9978167,0.00084054266,0.0003940504,0.00021143365,0.0002901316,0.00044717029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015352155,0.00090369215,0.0005778573,0.0024906052,0.0022502772,0.003174911,0.00093089417,0.00074170384,0.0055828365],"category_scores_gemma":[0.0038825786,0.00041742317,0.00091914856,0.00070822355,0.0060305516,0.0057978737,0.0032110738,0.0021870888,0.0006729314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003156505,0.00001241966,0.0003773372,0.000026569565,0.0000030230763,0.000099290366,0.00023009235,0.0004991481,0.0012034616,0.99530053,0.00023648381,0.001980051],"study_design_scores_gemma":[0.000012118749,0.000052309104,0.00035486653,0.000017492388,0.0000060846887,0.00022384341,0.0001829197,0.0040578507,0.0023196668,0.9902991,0.0024600057,0.0000138085625],"about_ca_topic_score_codex":0.00032567978,"about_ca_topic_score_gemma":0.00039678393,"teacher_disagreement_score":0.0055828365,"about_ca_system_score_codex":0.0013629852,"about_ca_system_score_gemma":0.00043295493,"threshold_uncertainty_score":0.01867646},"labels":[],"label_agreement":null},{"id":"W4361770075","doi":"10.1007/978-3-031-21550-6_2","title":"Semisimplicity of the Frobenius Action on π1","year":2022,"lang":"en","type":"book-chapter","venue":"Simons symposia","topic":"Advanced Algebra and Geometry","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":"Action (physics); Physics","score_opus":0.05692242664599512,"score_gpt":0.3097867989978766,"score_spread":0.2528643723518815,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4361770075","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2893803,0.0017833775,0.037356287,0.0021727425,0.00083941617,0.000025268875,0.00027013398,0.00037155862,0.66780084],"genre_scores_gemma":[0.9133818,0.0009717183,0.005163501,0.00021604954,0.0009058438,0.000031899206,0.00017997313,0.00015132251,0.07899795],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996867,0.00007682213,0.000009163491,0.00004393081,0.0001222341,0.000061081286],"domain_scores_gemma":[0.99963593,0.00014594522,0.000044550277,0.00003897394,0.000055632852,0.00007897007],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004767378,0.00066022,0.0005284872,0.001346597,0.0012895322,0.002038562,0.00038095802,0.00044916084,0.00701255],"category_scores_gemma":[0.0008424617,0.00033485942,0.00041029256,0.0005853382,0.0021764413,0.0019771606,0.000948935,0.001766342,0.0012229064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021376347,0.0000070624073,0.00005633669,0.000015753982,0.0000028375816,0.000047404566,0.0001444901,0.00031468653,0.00092026434,0.9936127,0.0014960738,0.0033610384],"study_design_scores_gemma":[0.0000076063634,0.00001954017,0.00042104512,0.000010721884,0.0000032522255,0.00018104038,0.000041694795,0.0013120068,0.0009971261,0.9899877,0.0070088077,0.000009482083],"about_ca_topic_score_codex":0.00068779016,"about_ca_topic_score_gemma":0.0005433852,"teacher_disagreement_score":0.00701255,"about_ca_system_score_codex":0.0009871841,"about_ca_system_score_gemma":0.000518912,"threshold_uncertainty_score":0.023459315},"labels":[],"label_agreement":null},{"id":"W4376602514","doi":"10.1007/s00041-023-10007-5","title":"Harmonic Analysis on the Affine Group of the Plane","year":2023,"lang":"en","type":"article","venue":"Journal of Fourier Analysis and Applications","topic":"Advanced Algebra and Geometry","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":"Dalhousie University","funders":"","keywords":"Mathematics; Square-integrable function; Invertible matrix; Affine transformation; Representation theory of finite groups; Invariant (physics); Regular representation; Pure mathematics; Representation (politics); Affine group; Linear subspace; Hilbert space; Group (periodic table); Combinatorics; Representation theory; Mathematical physics","score_opus":0.024654005860748222,"score_gpt":0.30134450722139994,"score_spread":0.2766905013606517,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376602514","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7144386,0.0026491615,0.1542979,0.0026492628,0.00065501034,0.00006551137,0.00036928037,0.00012579245,0.12474948],"genre_scores_gemma":[0.9558592,0.0016648647,0.009817393,0.00021768127,0.0009268307,0.00002257199,0.00018368487,0.0000654348,0.031242304],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997731,0.000056297056,0.000010109671,0.00004188097,0.0000672528,0.00005137612],"domain_scores_gemma":[0.99956983,0.00010388964,0.00011077889,0.000038188693,0.0000930934,0.000084202875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040219087,0.000570029,0.0005355061,0.0022502816,0.00082385,0.0020297002,0.0004887023,0.00045884863,0.0058559817],"category_scores_gemma":[0.0009286909,0.00017674244,0.00042439703,0.0009849065,0.0017008674,0.0014201291,0.0010391254,0.00086424744,0.0007237438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025681804,0.000011461519,0.00019551563,0.00001430204,0.000007643184,0.00004592147,0.00015971727,0.0015360462,0.0012866878,0.98921263,0.0007030915,0.00680141],"study_design_scores_gemma":[0.000015885966,0.00005368994,0.0008391058,0.000011063169,0.000010128848,0.0001478671,0.00024709175,0.013377747,0.00068166404,0.9778035,0.006796443,0.000015588348],"about_ca_topic_score_codex":0.0014741366,"about_ca_topic_score_gemma":0.00062958006,"teacher_disagreement_score":0.0058559817,"about_ca_system_score_codex":0.0008101603,"about_ca_system_score_gemma":0.00040449458,"threshold_uncertainty_score":0.019590199},"labels":[],"label_agreement":null},{"id":"W4377042803","doi":"10.1090/proc/16533","title":"Bounds for orders of zeros of a class of Eisenstein series and their applications on dual pairs of eta quotients","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Northwestern Polytechnic; University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Type (biology); Mathematics; Biology","score_opus":0.023253522371473635,"score_gpt":0.29044673300547885,"score_spread":0.2671932106340052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377042803","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.379309,0.005433412,0.29903573,0.005586892,0.0017751321,0.00014634292,0.0009505087,0.001196256,0.30656675],"genre_scores_gemma":[0.92285126,0.0022981507,0.031548303,0.00046211254,0.0013376063,0.00020508251,0.0005853788,0.00061643537,0.040095698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984407,0.0003790229,0.00011020039,0.00031490202,0.0004039872,0.00035116292],"domain_scores_gemma":[0.9926885,0.004008265,0.0006389659,0.0005092663,0.00086407823,0.0012908384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003307463,0.0017436318,0.0011292638,0.007181069,0.0020488335,0.00513135,0.0018607501,0.0011810664,0.019338356],"category_scores_gemma":[0.0129371155,0.0006212708,0.001309615,0.0019917844,0.0038011358,0.008928882,0.0036757926,0.0050098132,0.003444097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001150242,0.00003791027,0.0008135502,0.00009545724,0.000013333393,0.00009647981,0.00027101897,0.001361929,0.0007071702,0.98472553,0.0020165779,0.009746067],"study_design_scores_gemma":[0.000019682548,0.0000442843,0.0007087826,0.00010361835,0.000023189144,0.00017100894,0.0001513702,0.014624102,0.0014591913,0.9765138,0.006141694,0.00003929415],"about_ca_topic_score_codex":0.0011055324,"about_ca_topic_score_gemma":0.0011688805,"teacher_disagreement_score":0.019338356,"about_ca_system_score_codex":0.0028451493,"about_ca_system_score_gemma":0.00076475536,"threshold_uncertainty_score":0.06469327},"labels":[],"label_agreement":null},{"id":"W4377197553","doi":"10.2140/ant.2025.19.551","title":"Algebraic cycles and functorial lifts from G2 toPGSp6","year":2025,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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; Agence Nationale de la Recherche; European Commission","keywords":"Mathematics; Algebraic number; Algebra over a field; Pure mathematics; Mathematical analysis","score_opus":0.012958817934783175,"score_gpt":0.30274370984066873,"score_spread":0.2897848919058856,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377197553","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3160369,0.00094256434,0.10998471,0.0034135417,0.0024482661,0.00019965795,0.001868419,0.002294323,0.5628117],"genre_scores_gemma":[0.7879092,0.00079669233,0.024779484,0.0009053702,0.0009250523,0.00012316574,0.0024336139,0.001391706,0.18073559],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994209,0.00007166227,0.000023169854,0.00011157299,0.000208662,0.00016419699],"domain_scores_gemma":[0.9995838,0.000062320774,0.000031037707,0.00006028016,0.00012267729,0.00013993414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035655027,0.00082402624,0.00056073774,0.002490418,0.002610268,0.0034185413,0.0008115418,0.00072394003,0.0251098],"category_scores_gemma":[0.0009909228,0.000422582,0.0010031917,0.0017748357,0.0017682441,0.003165976,0.0045034606,0.0031965948,0.0047515254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004100615,0.000018650993,0.0001570503,0.00003835902,0.0000069553894,0.0001818694,0.00037803108,0.00030596784,0.0010642995,0.98171854,0.0054480387,0.010641228],"study_design_scores_gemma":[0.000015393323,0.000020982669,0.00040890876,0.000020050848,0.000010378807,0.00026863118,0.00022777898,0.0010878143,0.0014341316,0.9425052,0.0539795,0.000021210579],"about_ca_topic_score_codex":0.0019933719,"about_ca_topic_score_gemma":0.0015634148,"teacher_disagreement_score":0.0251098,"about_ca_system_score_codex":0.0012316017,"about_ca_system_score_gemma":0.00070971675,"threshold_uncertainty_score":0.08400065},"labels":[],"label_agreement":null},{"id":"W4377989443","doi":"10.2140/pjm.2023.322.381","title":"Local Maass forms and Eichler–Selberg relationsfor negative-weight vector-valued mock modular forms","year":2023,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Lift (data mining); Pure mathematics; Modular form; Selberg trace formula; Modular design; Harmonic; Signature (topology); Algebra over a field; Geometry; Riemann hypothesis; Computer science; Physics","score_opus":0.027299330141430628,"score_gpt":0.29065516700078814,"score_spread":0.2633558368593575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377989443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92759603,0.00018064745,0.03726147,0.0004048463,0.00008471929,0.000027414295,0.000053087468,0.00012088304,0.034270894],"genre_scores_gemma":[0.98515594,0.000106893196,0.0061452305,0.000069016874,0.000068024485,0.000025458605,0.00005369404,0.000036982787,0.008338696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950945,0.0000940184,0.000029547831,0.00008204891,0.00015716106,0.00012775678],"domain_scores_gemma":[0.9994765,0.00009704233,0.0000922471,0.00010146389,0.00007176522,0.00016106066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000743055,0.0005276142,0.00047093842,0.0013732328,0.0015135074,0.0020502352,0.00073463656,0.0008130361,0.0064986423],"category_scores_gemma":[0.0016242053,0.00028026602,0.0007531482,0.000593194,0.0028738694,0.0029783116,0.0022547075,0.0016881018,0.0008486729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054579923,0.000027736707,0.001198875,0.000030081388,0.000008364955,0.0003266427,0.00052898104,0.0008495296,0.0072314516,0.9853871,0.0003430924,0.0040136436],"study_design_scores_gemma":[0.000033749322,0.000079740064,0.0016191175,0.000018122915,0.000015025757,0.0008031963,0.000485331,0.005300777,0.007239791,0.9811398,0.0032224033,0.000042922005],"about_ca_topic_score_codex":0.0002439912,"about_ca_topic_score_gemma":0.00029222888,"teacher_disagreement_score":0.0064986423,"about_ca_system_score_codex":0.0006788853,"about_ca_system_score_gemma":0.00028577037,"threshold_uncertainty_score":0.021740079},"labels":[],"label_agreement":null},{"id":"W4379743478","doi":"10.1088/1751-8121/acdc6c","title":"Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus","year":2023,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Advanced Algebra and Geometry","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; Concordia University","funders":"Australian Research Council; Engineering and Physical Sciences Research Council; National Centres of Competence in Research SwissMAP; Simons Foundation; National Science Foundation","keywords":"Monodromy; Symplectic geometry; Torus; Mathematics; Pure mathematics; Geometry","score_opus":0.025542442688890464,"score_gpt":0.2873394611760806,"score_spread":0.26179701848719017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4379743478","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.985452,0.000051554685,0.008321545,0.00006512681,0.000013528199,0.00000831703,0.000017121058,0.000039538456,0.0060313013],"genre_scores_gemma":[0.99843544,0.000032218835,0.00085160614,0.000006076361,0.00000894184,0.000003992309,0.000012616741,0.000010699829,0.00063840614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99988246,0.000028163167,0.0000063421935,0.00001867576,0.000033709053,0.000030621664],"domain_scores_gemma":[0.99962306,0.00010577411,0.000082069506,0.000043588403,0.000053114385,0.00009230578],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040281034,0.0004989749,0.00040120672,0.0018370285,0.00065710733,0.00096857146,0.00058806903,0.00043883323,0.0024871211],"category_scores_gemma":[0.0015860414,0.00015643994,0.0003235497,0.00048604503,0.0015025738,0.0013508842,0.0005774133,0.00048129517,0.00020603609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002439241,0.00013886465,0.005921071,0.00007840916,0.000016886985,0.001844444,0.0009260217,0.03803477,0.023836073,0.9200971,0.0005619665,0.008300406],"study_design_scores_gemma":[0.00005824346,0.0002058989,0.009131547,0.000048607275,0.000018338062,0.0010475857,0.0006704069,0.37555575,0.012546555,0.59927154,0.0013881241,0.000057393052],"about_ca_topic_score_codex":0.0008770687,"about_ca_topic_score_gemma":0.00071611325,"teacher_disagreement_score":0.0024871211,"about_ca_system_score_codex":0.00084364414,"about_ca_system_score_gemma":0.00029019624,"threshold_uncertainty_score":0.008320272},"labels":[],"label_agreement":null},{"id":"W4380519674","doi":"10.1215/21562261-10607364","title":"Higher level cusp forms on exceptional group of type E7","year":2023,"lang":"en","type":"article","venue":"Kyoto journal of mathematics","topic":"Advanced Algebra and Geometry","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; Cusp (singularity); Cusp form; Lift (data mining); Degenerate energy levels; Pure mathematics; Automorphic form; Group (periodic table); Type (biology); Geometry; Physics","score_opus":0.1228799486204226,"score_gpt":0.3546919795676124,"score_spread":0.23181203094718977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380519674","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9764841,0.00008923896,0.013190689,0.00015578742,0.00007425029,0.00002460814,0.000036096808,0.00009812805,0.009847182],"genre_scores_gemma":[0.9867116,0.000094129144,0.0076951105,0.000094575626,0.00009177605,0.000023017586,0.00010143542,0.000040264502,0.0051481067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999739,0.000036593156,0.000015851008,0.00004592651,0.00008014394,0.000082527906],"domain_scores_gemma":[0.999688,0.00003395763,0.00004811765,0.000048302205,0.000036659047,0.0001448908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003234229,0.00048059606,0.0005761945,0.0017129797,0.0010770926,0.00088019646,0.00045170335,0.0007288998,0.0029853925],"category_scores_gemma":[0.00074359233,0.0002203541,0.0009264753,0.00044711656,0.0014346766,0.0012298796,0.0022245815,0.0013233596,0.00066454895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00044921375,0.00025748275,0.010192141,0.00021170077,0.00009166359,0.005953639,0.0037536656,0.005215339,0.06964356,0.8589691,0.0019977952,0.04326458],"study_design_scores_gemma":[0.00015602939,0.0005258881,0.012938605,0.00008279486,0.00006683386,0.004319973,0.0016372853,0.031725053,0.026346553,0.91158396,0.010484913,0.00013220125],"about_ca_topic_score_codex":0.00027480343,"about_ca_topic_score_gemma":0.00028160712,"teacher_disagreement_score":0.0029853925,"about_ca_system_score_codex":0.0004217325,"about_ca_system_score_gemma":0.00028188838,"threshold_uncertainty_score":0.009987116},"labels":[],"label_agreement":null},{"id":"W4380624773","doi":"10.1007/s00222-023-01202-8","title":"Gelfand–Kirillov dimension and mod $p$ cohomology for $\\operatorname{GL}_{2}$","year":2023,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Advanced Algebra and Geometry","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":"Agence Nationale de la Recherche","keywords":"Mathematics; Galois module; Cohomology; Dimension (graph theory); Hecke algebra; Combinatorics; Mod; Prime (order theory); Quaternion algebra; Irreducible representation; Spectrum (functional analysis); Algebra over a field; Pure mathematics; Division algebra; Filtered algebra","score_opus":0.08284181667226663,"score_gpt":0.3720991954585735,"score_spread":0.28925737878630686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380624773","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39774135,0.0049017067,0.08325584,0.030542577,0.0048835287,0.000114898336,0.0011059755,0.0012516995,0.47620255],"genre_scores_gemma":[0.91762036,0.0017502619,0.013361091,0.0016675428,0.0032155376,0.000099580895,0.00049294636,0.0005627145,0.0612301],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871206,0.0002914646,0.000053608055,0.00029197484,0.00032179037,0.00032915323],"domain_scores_gemma":[0.9982551,0.00056965626,0.00030899156,0.00018043285,0.00023438115,0.00045134829],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017174467,0.002258391,0.0015067554,0.0072928425,0.0047819414,0.005817849,0.0027987382,0.0024157807,0.028487535],"category_scores_gemma":[0.003480919,0.0007598023,0.0011870373,0.0026132527,0.0077647706,0.014186763,0.0055713668,0.006150015,0.003653625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013338901,0.000013986036,0.00007708536,0.000014586513,0.0000054660577,0.00003167516,0.000120255914,0.00007341057,0.00016977248,0.9968579,0.0013740503,0.0012483802],"study_design_scores_gemma":[0.000007790598,0.000006676476,0.00026168305,0.000013586228,0.0000056301296,0.00010533992,0.00006355254,0.0011773622,0.0001898563,0.9943962,0.003751321,0.000020989488],"about_ca_topic_score_codex":0.0015304282,"about_ca_topic_score_gemma":0.0014678326,"teacher_disagreement_score":0.028487535,"about_ca_system_score_codex":0.0029843724,"about_ca_system_score_gemma":0.0012601358,"threshold_uncertainty_score":0.09530032},"labels":[],"label_agreement":null},{"id":"W4381190701","doi":"10.1007/s40879-023-00630-3","title":"Euler characteristic and cohomology of $$\\textrm{Sp}_4(\\mathbb {Z})$$ with nontrivial coefficients","year":2023,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"European Research Council","keywords":"Cohomology; Mathematics; Euler characteristic; Pure mathematics; Series (stratigraphy); Euler's formula; Group cohomology; De Rham cohomology; Equivariant cohomology; Algebra over a field; Mathematical analysis","score_opus":0.029762199316651076,"score_gpt":0.2787034626600696,"score_spread":0.24894126334341854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381190701","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87227124,0.0005860123,0.018402878,0.0038417373,0.0005137193,0.000042138738,0.00050038006,0.0002969464,0.10354496],"genre_scores_gemma":[0.9704424,0.00026843773,0.0027064031,0.00025006838,0.00036605043,0.000031255844,0.00036089343,0.00016672414,0.025407888],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992136,0.00013253937,0.00002441505,0.00013412765,0.00018496858,0.00031029215],"domain_scores_gemma":[0.9984871,0.00049755,0.0003150443,0.00006642013,0.00016795425,0.0004659189],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074970076,0.0013912374,0.0010847849,0.0063813482,0.002668364,0.0041111726,0.0018469976,0.0011641945,0.021036217],"category_scores_gemma":[0.0024138133,0.000755239,0.00076723576,0.0020739508,0.0045046685,0.005890415,0.0044456925,0.0027868012,0.0023186412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018157733,0.00006646933,0.0012707405,0.0000491128,0.000017850607,0.0002535111,0.00044091174,0.00072516804,0.0020630118,0.9873188,0.0020367024,0.0055760955],"study_design_scores_gemma":[0.00006596362,0.00004038891,0.0031265242,0.000045908128,0.000037119717,0.0004924333,0.0003409703,0.008543045,0.0025092696,0.9795053,0.0052184877,0.00007461766],"about_ca_topic_score_codex":0.00204007,"about_ca_topic_score_gemma":0.002085618,"teacher_disagreement_score":0.021036217,"about_ca_system_score_codex":0.0021992247,"about_ca_system_score_gemma":0.00088821654,"threshold_uncertainty_score":0.07037312},"labels":[],"label_agreement":null},{"id":"W4381711340","doi":"","title":"Conjectures and results on modular representations of GL n (K) for a p-adic field K","year":2024,"lang":"en","type":"article","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Association Neurofibromatoses et Recklinghause; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Chinese Academy of Sciences; Agence Nationale de la Recherche","keywords":"Modular design; Field (mathematics); Mathematics; Pure mathematics; Computer science; Programming language","score_opus":0.021598543951075473,"score_gpt":0.29756837546239606,"score_spread":0.2759698315113206,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381711340","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7444189,0.0032424536,0.06432357,0.019913968,0.0013634213,0.00012502268,0.0008773664,0.00082365086,0.16491161],"genre_scores_gemma":[0.97277594,0.0011830622,0.0059783245,0.0011431053,0.0015086379,0.00008260487,0.0009267268,0.000119726275,0.016281858],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978568,0.0005982348,0.000143798,0.00047846258,0.0004167462,0.000505934],"domain_scores_gemma":[0.9941545,0.003391843,0.0007389682,0.00066855946,0.00034314566,0.0007031303],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003294326,0.0019757338,0.001826222,0.0030982222,0.0037486334,0.0053446526,0.0024993417,0.003434952,0.014976729],"category_scores_gemma":[0.009822878,0.000835575,0.0020736991,0.003486102,0.008068153,0.012210847,0.003995034,0.005042904,0.0019734576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00056184933,0.0002095415,0.0022624915,0.00034002506,0.000038709266,0.00037517826,0.0014222708,0.0039759683,0.0015969493,0.9698546,0.0062532877,0.013109103],"study_design_scores_gemma":[0.000053914227,0.000054100004,0.00061777927,0.000044347027,0.000017548833,0.00013969744,0.00023228448,0.00374765,0.00047203858,0.99286,0.0017359615,0.000024664836],"about_ca_topic_score_codex":0.0012711539,"about_ca_topic_score_gemma":0.0010459747,"teacher_disagreement_score":0.014976729,"about_ca_system_score_codex":0.0022991388,"about_ca_system_score_gemma":0.0009282845,"threshold_uncertainty_score":0.050102174},"labels":[],"label_agreement":null},{"id":"W4382518094","doi":"10.1016/j.jnt.2023.06.002","title":"Zeta functions of certain quadratic orders","year":2023,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Mathematics; Generalization; Product (mathematics); Pure mathematics; Quadratic equation; Algebra over a field; Arithmetic zeta function; Riemann zeta function; Applied mathematics; Mathematical analysis; Geometry","score_opus":0.036336233536841886,"score_gpt":0.3387555981833987,"score_spread":0.3024193646465568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382518094","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8954804,0.00053675653,0.019239673,0.0019165117,0.00032008157,0.00004908432,0.0001863714,0.00019751216,0.08207356],"genre_scores_gemma":[0.97860205,0.00031640098,0.0015466256,0.00014802892,0.00045188982,0.000034809433,0.00016988182,0.00008194386,0.018648274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999286,0.00014249684,0.00002966983,0.00007692012,0.0002466884,0.00021825389],"domain_scores_gemma":[0.9963158,0.0014024143,0.00046770912,0.00017324476,0.0004286451,0.0012122385],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018478524,0.0012334513,0.001199713,0.0062720147,0.0030942983,0.0056372317,0.0016706884,0.0012629307,0.010874278],"category_scores_gemma":[0.0062645064,0.0007286151,0.00085908844,0.0027237649,0.004938876,0.0055173347,0.0025136922,0.002661543,0.0013091424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015953286,0.00006471445,0.0010225562,0.00003980976,0.000014066077,0.00023056575,0.00050227117,0.00085214165,0.0011768114,0.9923929,0.00096510816,0.002579503],"study_design_scores_gemma":[0.000081171216,0.00003932711,0.0018785719,0.000036255653,0.00002295821,0.00030148582,0.00033668222,0.007835058,0.000765811,0.9869126,0.0017534563,0.000036541576],"about_ca_topic_score_codex":0.0014276761,"about_ca_topic_score_gemma":0.001342778,"teacher_disagreement_score":0.010874278,"about_ca_system_score_codex":0.0027769157,"about_ca_system_score_gemma":0.0009825293,"threshold_uncertainty_score":0.036378086},"labels":[],"label_agreement":null},{"id":"W4382985871","doi":"10.1007/s00031-023-09808-1","title":"Geometric Vertex Decomposition, Gröbner Bases, and Frobenius Splittings for Regular Nilpotent Hessenberg Varieties","year":2023,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Combinatorics; Nilpotent; Vertex (graph theory); Order (exchange); Graph","score_opus":0.02930729116295714,"score_gpt":0.3136086814390007,"score_spread":0.28430139027604356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382985871","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8677755,0.0005883722,0.055095516,0.0011957765,0.00019666112,0.000063266045,0.0003288067,0.0002258682,0.07453016],"genre_scores_gemma":[0.9737255,0.00026184515,0.0075652427,0.0001297864,0.00015348828,0.00003428466,0.0002838621,0.000077236036,0.017768685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997098,0.00004598683,0.000010079805,0.000048893242,0.00009745948,0.00008767025],"domain_scores_gemma":[0.999713,0.000050106173,0.000059587397,0.00003260894,0.000048166236,0.00009649012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004596918,0.0007431085,0.0006690134,0.0029161493,0.0017821549,0.002578817,0.0010613818,0.00068410096,0.006478815],"category_scores_gemma":[0.00074713177,0.00033075258,0.0005774508,0.001207571,0.0027754994,0.0028493109,0.0016183386,0.002367146,0.00089762965],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004592057,0.000035926547,0.00020935845,0.000013098649,0.0000052938926,0.0000484593,0.0002550891,0.0011043864,0.0011589603,0.9916055,0.0006474196,0.0048704674],"study_design_scores_gemma":[0.000014646312,0.000014841388,0.00019919561,0.0000057942943,0.000003607269,0.0000367752,0.00012714158,0.0031961899,0.00048672667,0.99512047,0.00078705145,0.000007583225],"about_ca_topic_score_codex":0.0010493456,"about_ca_topic_score_gemma":0.0011646132,"teacher_disagreement_score":0.006478815,"about_ca_system_score_codex":0.0011894102,"about_ca_system_score_gemma":0.0005640824,"threshold_uncertainty_score":0.021673799},"labels":[],"label_agreement":null},{"id":"W4383473313","doi":"10.48550/arxiv.2307.02307","title":"The refined solution to the Capelli eigenvalue problem for $\\mathfrak{gl}(m|n)\\oplus\\mathfrak{gl}(m|n)$ and $\\mathfrak{gl}(m|2n)$","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Subalgebra; Mathematics; Combinatorics; Omega; Lambda; Eigenvalues and eigenvectors; Lie superalgebra; Lie algebra; Cartan subalgebra; Algebra over a field; Pure mathematics; Physics; Affine Lie algebra; Current algebra","score_opus":0.16668899978737284,"score_gpt":0.24824673671379385,"score_spread":0.08155773692642102,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383473313","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.542152,0.0010738268,0.24949513,0.00709653,0.00085195154,0.00014060149,0.0007686706,0.0003401413,0.19808121],"genre_scores_gemma":[0.8523087,0.00045400087,0.051718995,0.0007673784,0.00039971725,0.0002247822,0.00070965075,0.00039092687,0.0930259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971765,0.000053229556,0.000008088005,0.000055867255,0.000070705035,0.000094430994],"domain_scores_gemma":[0.9996841,0.000085229054,0.0000424572,0.000028122075,0.00005072489,0.00010936346],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044441974,0.0007851121,0.00076423155,0.00084039476,0.001107502,0.0019803706,0.0012470923,0.0016784158,0.0144480625],"category_scores_gemma":[0.001512689,0.00039021307,0.0006652225,0.00037297586,0.0019347703,0.0022081218,0.001836324,0.0020055901,0.0015820971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008224779,0.000040684165,0.00036007326,0.00007418148,0.000014450411,0.00016095166,0.00019731479,0.010964092,0.001642815,0.977494,0.004304746,0.0046644323],"study_design_scores_gemma":[0.000055167,0.000037107868,0.0005214359,0.00003999809,0.000007666665,0.00012892138,0.0003396135,0.12907323,0.0008884214,0.86407673,0.004794684,0.00003698859],"about_ca_topic_score_codex":0.0030870964,"about_ca_topic_score_gemma":0.0034208032,"teacher_disagreement_score":0.0144480625,"about_ca_system_score_codex":0.0012133481,"about_ca_system_score_gemma":0.0012562608,"threshold_uncertainty_score":0.048333645},"labels":[],"label_agreement":null},{"id":"W4383720832","doi":"10.4153/s0008439523000516","title":"Compatibility of theta lifts and tempered condition","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Quaternion; Symplectic geometry; Dual (grammatical number); Quaternion algebra; Algebra over a field; Pure mathematics; Dual pair; Division algebra; Geometry; Filtered algebra; Functional analysis","score_opus":0.03804387828481256,"score_gpt":0.30851665824200325,"score_spread":0.2704727799571907,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383720832","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7981097,0.00017507137,0.12326605,0.0010612126,0.0006125145,0.000077041135,0.00021076917,0.00041289072,0.07607464],"genre_scores_gemma":[0.98493016,0.00006649881,0.0068933386,0.00021942715,0.000199124,0.00003695048,0.00012078621,0.00008561807,0.0074480614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986877,0.0001928806,0.00008520097,0.00039169914,0.00031301638,0.00032946366],"domain_scores_gemma":[0.9984352,0.00020617069,0.00019576505,0.00032516936,0.00037749438,0.0004601183],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011987443,0.00030036195,0.0006628689,0.0013855498,0.0019410213,0.0020215358,0.00083608634,0.0009613901,0.010784354],"category_scores_gemma":[0.0033547874,0.00038076594,0.0007483457,0.00049598847,0.0026000303,0.004082399,0.0032095083,0.0027692756,0.001043976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006534969,0.000024332938,0.0006532159,0.000013799721,0.0000076280116,0.00025263737,0.00013766906,0.00033585113,0.0026808514,0.992599,0.00048121982,0.0027483914],"study_design_scores_gemma":[0.000042821575,0.000121650985,0.0013945726,0.000017211147,0.000014783858,0.0008141121,0.00032107852,0.009994897,0.005461196,0.9782151,0.003567119,0.00003555336],"about_ca_topic_score_codex":0.00044864073,"about_ca_topic_score_gemma":0.0002644677,"teacher_disagreement_score":0.010784354,"about_ca_system_score_codex":0.0007202015,"about_ca_system_score_gemma":0.00052015967,"threshold_uncertainty_score":0.03607726},"labels":[],"label_agreement":null},{"id":"W4384029119","doi":"10.1007/s40687-023-00396-w","title":"$$\\lambda $$-Invariant stability in families of modular Galois representations","year":2023,"lang":"en","type":"article","venue":"Research in the Mathematical Sciences","topic":"Advanced Algebra and Geometry","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":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Mathematics; Galois module; Lambda; Invariant (physics); Modular form; Pure mathematics; Residual; Modular design; Algebra over a field; Computer science","score_opus":0.38727220875140256,"score_gpt":0.5059132643644813,"score_spread":0.1186410556130787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384029119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8681399,0.0003163772,0.061904088,0.0017620359,0.00018718961,0.000046366447,0.00017315445,0.00041077062,0.06706008],"genre_scores_gemma":[0.9883887,0.00012440409,0.0030530442,0.00013075527,0.00015388409,0.00004421814,0.00009053854,0.00007839703,0.007936111],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988256,0.00026349496,0.00004362863,0.00025484987,0.00030003695,0.000312419],"domain_scores_gemma":[0.9978611,0.0008798268,0.00031878633,0.00018616344,0.00031840778,0.00043566237],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015914055,0.00074861094,0.0010149543,0.0031849062,0.0036865056,0.0044717346,0.0012678064,0.0014842496,0.0076690093],"category_scores_gemma":[0.004560865,0.000596131,0.0010862232,0.0014788074,0.0042816144,0.005387707,0.0028602376,0.0020145865,0.00075396616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000531921,0.000016358379,0.00036417347,0.000012652921,0.000009351066,0.000084958105,0.00027340752,0.0007211522,0.00054120517,0.99555135,0.00049035606,0.0018819314],"study_design_scores_gemma":[0.000023434624,0.000018940707,0.0003362682,0.0000068834684,0.00000883988,0.00008807336,0.00012813964,0.0049342248,0.00044301298,0.99338347,0.0006153501,0.000013212547],"about_ca_topic_score_codex":0.0011653029,"about_ca_topic_score_gemma":0.00075036293,"teacher_disagreement_score":0.0076690093,"about_ca_system_score_codex":0.0023943696,"about_ca_system_score_gemma":0.0007561442,"threshold_uncertainty_score":0.025655389},"labels":[],"label_agreement":null},{"id":"W4384135074","doi":"10.1007/978-3-031-32629-5_3","title":"Application: Quadratic Forms","year":2023,"lang":"en","type":"book-chapter","venue":"Synthesis lectures on mathematics and statistics","topic":"Advanced Algebra and Geometry","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":"Carleton University; Northwestern Polytechnic","funders":"","keywords":"Binary quadratic form; Diagonal; Quadratic equation; Modular form; Isotropic quadratic form; Mathematics; Quadratic function; Quadratic field; Quadratic form (statistics); Definite quadratic form; ε-quadratic form; Pure mathematics; Section (typography); Quartic function; Binary number; Algebra over a field; Combinatorics; Arithmetic; Computer science; Geometry","score_opus":0.03293177151109736,"score_gpt":0.29313888862358856,"score_spread":0.2602071171124912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384135074","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0022699153,0.006318157,0.019155158,0.0015179947,0.002582281,0.000030703573,0.00032052706,0.0003414653,0.96746385],"genre_scores_gemma":[0.036642577,0.0062043993,0.007952214,0.0006769567,0.0024790156,0.00004533771,0.00041094763,0.0003845588,0.945204],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997813,0.000031394018,0.000006675369,0.000046820962,0.00011088986,0.000022930451],"domain_scores_gemma":[0.99987257,0.000022384975,0.000007968815,0.000024903891,0.00004655789,0.000025586343],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021271042,0.0011710464,0.0008592072,0.001517968,0.0010045144,0.0019610752,0.0007232081,0.0007131844,0.09640577],"category_scores_gemma":[0.0006525574,0.0003787229,0.00043664273,0.0021833875,0.0010798218,0.0018995717,0.0017516479,0.0019484394,0.03389277],"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":[0.000022849566,0.000054316104,0.00007704679,0.0003517497,0.000010775249,0.0000609137,0.00017088444,0.0011686187,0.0019591586,0.61909556,0.2117042,0.16532397],"study_design_scores_gemma":[0.0000081413355,0.00002392431,0.00032607157,0.00008094432,0.0000075991034,0.0001641315,0.00005522935,0.0014227886,0.00079088483,0.35532996,0.64177746,0.000012846372],"about_ca_topic_score_codex":0.0012775918,"about_ca_topic_score_gemma":0.0021225996,"teacher_disagreement_score":0.09640577,"about_ca_system_score_codex":0.0012796341,"about_ca_system_score_gemma":0.00058466353,"threshold_uncertainty_score":0.32250947},"labels":[],"label_agreement":null},{"id":"W4384338977","doi":"10.1007/s00229-023-01490-7","title":"Proof of Vogan’s conjecture on Arthur packets: irreducible parameters of p-adic general linear groups","year":2023,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; Division of Mathematical Sciences; University of Toronto","keywords":"Conjecture; Mathematics; Number theory; Moduli space; Pure mathematics; Simple (philosophy); Network packet; Space (punctuation); Computer science; Philosophy","score_opus":0.07457564815459243,"score_gpt":0.3167632776971728,"score_spread":0.24218762954258033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384338977","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6722601,0.0015318977,0.14307255,0.0089043295,0.00084477325,0.00012034562,0.00030157017,0.00055545854,0.17240912],"genre_scores_gemma":[0.9858197,0.00033918297,0.006993771,0.0003033163,0.0002385639,0.00003338954,0.00012777858,0.00004025551,0.0061039953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917537,0.0002320902,0.000033125103,0.00016452119,0.00026054593,0.00013438961],"domain_scores_gemma":[0.9973959,0.0014907562,0.00019687865,0.00032461813,0.0003631098,0.00022877999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001524308,0.0006669006,0.00064988405,0.0012806277,0.0012332598,0.0018333094,0.0008911055,0.0010010679,0.0072577875],"category_scores_gemma":[0.0058541386,0.0003989422,0.0007017456,0.00074950926,0.004733398,0.0040447414,0.0047005177,0.0029397642,0.00058798975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046833873,0.000025669966,0.0011439668,0.00005075117,0.000010507651,0.00024104344,0.0005027608,0.0011862131,0.00089159166,0.9899946,0.0018100055,0.004096076],"study_design_scores_gemma":[0.000043299122,0.00007627252,0.0010027535,0.000056216286,0.000019130879,0.00043728296,0.00053888536,0.00971544,0.0023255053,0.9741209,0.011639857,0.000024404306],"about_ca_topic_score_codex":0.00077245914,"about_ca_topic_score_gemma":0.0004523111,"teacher_disagreement_score":0.0072577875,"about_ca_system_score_codex":0.00089402986,"about_ca_system_score_gemma":0.00045014027,"threshold_uncertainty_score":0.024279714},"labels":[],"label_agreement":null},{"id":"W4385268844","doi":"10.1007/s00023-023-01350-w","title":"Borel Summability of the $${\\textrm{1}/N}$$ Expansion in Quartic $${\\textrm{O}(N)}$$-Vector Models","year":2023,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Advanced Algebra and Geometry","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":"Perimeter Institute","funders":"HORIZON EUROPE European Research Council","keywords":"Quartic function; Mathematics; Vertex (graph theory); Partition function (quantum field theory); Partition (number theory); Plane (geometry); Borel measure; Mathematical analysis; Mathematical physics; Combinatorics; Pure mathematics; Physics; Graph; Geometry; Quantum mechanics","score_opus":0.06200909903946648,"score_gpt":0.32285250283210837,"score_spread":0.26084340379264187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385268844","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.630577,0.0012320603,0.07150015,0.0058414354,0.001021051,0.00005925462,0.00039154995,0.000832373,0.288545],"genre_scores_gemma":[0.9496441,0.0005096389,0.006204107,0.0008013913,0.0008039713,0.00007521678,0.00034592295,0.0003860163,0.04122967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990095,0.00020378621,0.000042512795,0.00015896457,0.00030530614,0.0002798434],"domain_scores_gemma":[0.9985526,0.00047433024,0.00018004516,0.00014384257,0.00024459156,0.00040445774],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014156408,0.0012481475,0.001391207,0.0034582564,0.0027271747,0.004206668,0.002018982,0.002003403,0.0130267115],"category_scores_gemma":[0.0031890343,0.0006779882,0.0009798585,0.0012358557,0.0041952697,0.0055421144,0.0025652484,0.003508518,0.0015934358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027762568,0.000036603138,0.00014253141,0.00002003471,0.0000052842124,0.00010943584,0.000113776594,0.0003638737,0.0010271696,0.9961759,0.00089130655,0.0010862361],"study_design_scores_gemma":[0.000017946104,0.000014478387,0.0005241507,0.000020682526,0.0000078246985,0.00019630184,0.00009727809,0.009492139,0.00073075277,0.9876517,0.0012227591,0.000023980576],"about_ca_topic_score_codex":0.0028193935,"about_ca_topic_score_gemma":0.0034948161,"teacher_disagreement_score":0.0130267115,"about_ca_system_score_codex":0.0021787891,"about_ca_system_score_gemma":0.0011192034,"threshold_uncertainty_score":0.043578684},"labels":[],"label_agreement":null},{"id":"W4385417252","doi":"10.1007/978-3-031-38299-4_13","title":"The Momentum Mapping of the Affine Real Symplectic Group","year":2023,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"","keywords":"Moment map; Symplectic geometry; Symplectic group; Affine transformation; Group (periodic table); Symplectomorphism; Symplectic representation; Pure mathematics; Symplectic matrix; Action (physics); Algebra over a field; Mathematics; Mathematical physics; Computer science; Physics; Quantum mechanics","score_opus":0.03193353308564902,"score_gpt":0.2757441416009483,"score_spread":0.24381060851529926,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385417252","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26962748,0.005080065,0.15451051,0.004615566,0.002929693,0.00007383581,0.00037612172,0.00033152068,0.56245524],"genre_scores_gemma":[0.82045823,0.002576361,0.013765119,0.0004139026,0.0012851104,0.000047468533,0.00016164724,0.0002009351,0.16109128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986374,0.000032984266,0.0000059637623,0.000027222935,0.0000511995,0.000018830286],"domain_scores_gemma":[0.9998795,0.000032450404,0.000022018878,0.000023000577,0.00001762214,0.000025341351],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025378133,0.0004691095,0.000303411,0.0008825303,0.0008053028,0.0017308984,0.00044139952,0.0005352331,0.0069394237],"category_scores_gemma":[0.00070370047,0.0002539556,0.0003442611,0.00069117977,0.0021913312,0.002607867,0.0010008509,0.0015532788,0.0009497373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008348953,0.0000052067835,0.00002524902,0.000012490116,0.000001771286,0.000033308785,0.00010137484,0.00042119707,0.0005191072,0.9921217,0.0007719266,0.0059783785],"study_design_scores_gemma":[0.0000060299344,0.000018890229,0.00013903229,0.0000065894938,0.000001572497,0.00013356724,0.000047836307,0.00157329,0.00022374642,0.98795927,0.009884741,0.0000054780166],"about_ca_topic_score_codex":0.0004803904,"about_ca_topic_score_gemma":0.00029106656,"teacher_disagreement_score":0.0069394237,"about_ca_system_score_codex":0.00059413497,"about_ca_system_score_gemma":0.00041172878,"threshold_uncertainty_score":0.023214638},"labels":[],"label_agreement":null},{"id":"W4385637929","doi":"10.4171/dm/905","title":"Derivatives of Beilinson–Flach classes, Gross–Stark formulas and a $p$-adic Harris–Venkatesh conjecture","year":2023,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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":"European Commission; Royal Society; McGill University","keywords":"Mathematics; Conjecture; Pure mathematics; Mathematical economics","score_opus":0.03409087127826391,"score_gpt":0.34273085268069853,"score_spread":0.30863998140243465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385637929","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8941204,0.000867804,0.037517443,0.001805068,0.000100958285,0.00001425193,0.00009128349,0.00013665571,0.06534607],"genre_scores_gemma":[0.99333715,0.00017406177,0.0025857103,0.00008827014,0.000038716174,0.0000058045553,0.000028192737,0.000012359584,0.0037297432],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99988306,0.000019413286,0.0000056088957,0.000023236058,0.00003990595,0.000028721393],"domain_scores_gemma":[0.99975425,0.00006767391,0.000054528162,0.000030505638,0.000036286194,0.000056712808],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003844258,0.0002765626,0.00033326828,0.0018633414,0.0007604083,0.0014737836,0.0004943374,0.0004564236,0.0030173857],"category_scores_gemma":[0.0012059221,0.00014354715,0.0002611378,0.0006998459,0.0021873584,0.0025978372,0.0011552442,0.0009455884,0.00023476059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012506761,0.0000058545156,0.0006942492,0.00001282218,0.000001839091,0.000102584825,0.00014906644,0.0007924915,0.0006895464,0.99355185,0.00039452952,0.0035927447],"study_design_scores_gemma":[0.000008522947,0.000012220089,0.00091145904,0.000015951045,0.0000036436113,0.00016556271,0.00012545273,0.0063018706,0.00093705265,0.98931736,0.0021891422,0.0000116564215],"about_ca_topic_score_codex":0.0011092066,"about_ca_topic_score_gemma":0.00095467485,"teacher_disagreement_score":0.0030173857,"about_ca_system_score_codex":0.0011400882,"about_ca_system_score_gemma":0.0003508041,"threshold_uncertainty_score":0.010094166},"labels":[],"label_agreement":null},{"id":"W4386528968","doi":"10.4213/tm4301","title":"Алгебры Ли и интегрируемые системы: эластики и геодезические качения","year":2023,"lang":"ru","type":"article","venue":"Труды Математического института им Стеклова","topic":"Advanced Algebra and Geometry","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":"Psychology","score_opus":0.050560217395002535,"score_gpt":0.34338983647470805,"score_spread":0.2928296190797055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386528968","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03790822,0.010455794,0.050941218,0.018379496,0.0011239408,0.00013104889,0.00028683743,0.0002249359,0.88054854],"genre_scores_gemma":[0.8220482,0.0085228635,0.0358791,0.0019788153,0.000576979,0.00038628635,0.0002903544,0.00028896463,0.13002843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99584216,0.0012237838,0.00017526276,0.0007667733,0.001520023,0.00047199524],"domain_scores_gemma":[0.9962559,0.0012794001,0.00042478723,0.0004877481,0.0010592405,0.0004929197],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026961558,0.0006697368,0.00047581643,0.0021806974,0.004853192,0.011736716,0.0011864314,0.0027885137,0.022792002],"category_scores_gemma":[0.0076441914,0.00055994035,0.00069052074,0.0019355142,0.0118790185,0.008286557,0.0038368006,0.0032809554,0.0062189875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002388924,0.000020381858,0.00067564746,0.00009670928,0.000010406264,0.00019431942,0.0052679856,0.0002728613,0.00050488237,0.96882844,0.0050286674,0.01907578],"study_design_scores_gemma":[0.000030764528,0.000041416875,0.0027690295,0.00035790834,0.000033158693,0.00057458907,0.008308666,0.001146405,0.0013681666,0.5977253,0.38757792,0.000066603905],"about_ca_topic_score_codex":0.006950496,"about_ca_topic_score_gemma":0.006395907,"teacher_disagreement_score":0.022792002,"about_ca_system_score_codex":0.005544527,"about_ca_system_score_gemma":0.006975155,"threshold_uncertainty_score":0.07624686},"labels":[],"label_agreement":null},{"id":"W4387294225","doi":"10.48550/arxiv.2309.17213","title":"The local character expansion as branching rules: nilpotent cones and the case of $\\mathrm{SL}(2)$","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Nilpotent; Mathematics; Character (mathematics); Irreducible representation; Pure mathematics; Group (periodic table); Representation theory; Representation (politics); Orbit (dynamics); Combinatorics; Physics; Geometry","score_opus":0.08117110498611904,"score_gpt":0.23321606281901217,"score_spread":0.15204495783289312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387294225","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87758183,0.00023076302,0.052538954,0.00048175248,0.0000476459,0.00001992707,0.000064291395,0.00008113363,0.06895369],"genre_scores_gemma":[0.9899294,0.00007746574,0.0040149395,0.00005152949,0.000021993192,0.000010172288,0.000028991588,0.00001984058,0.0058457674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986434,0.000022473003,0.0000037651726,0.000026869484,0.00003987956,0.000042511572],"domain_scores_gemma":[0.9998053,0.00005476066,0.000039462793,0.00002244122,0.000020854972,0.000057190955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018273805,0.00028199967,0.0001951126,0.0005725583,0.0007805727,0.0014896394,0.00042675325,0.00036752544,0.0027755233],"category_scores_gemma":[0.0006484647,0.00010549172,0.00026807666,0.00033219453,0.0014944425,0.0015796248,0.0010392328,0.0009914596,0.0003408093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002486791,0.00001684198,0.00051085214,0.000013804929,0.0000025647798,0.0002578261,0.00045006291,0.0012064438,0.004747595,0.98835933,0.00034053886,0.004069219],"study_design_scores_gemma":[0.000015094429,0.000032286225,0.00071473274,0.000015104162,0.0000064835813,0.0005086901,0.00043775738,0.017667932,0.0039873095,0.973153,0.0034458106,0.000015888754],"about_ca_topic_score_codex":0.00048034897,"about_ca_topic_score_gemma":0.00055481325,"teacher_disagreement_score":0.0027755233,"about_ca_system_score_codex":0.0004089366,"about_ca_system_score_gemma":0.00017122328,"threshold_uncertainty_score":0.009285033},"labels":[],"label_agreement":null},{"id":"W4387820793","doi":"10.4153/s0008439523000838","title":"Universal spaces for asymptotic dimension via factorization","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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); Factorization; Construct (python library); Context (archaeology); Pure mathematics; Algebra over a field; Algorithm; Computer science; Geography","score_opus":0.02737016838926433,"score_gpt":0.2753631574406056,"score_spread":0.24799298905134126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387820793","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40100768,0.0020039375,0.45373386,0.0017108383,0.0003171621,0.00009077838,0.00033951263,0.0008483231,0.13994797],"genre_scores_gemma":[0.9726723,0.00033751313,0.019419245,0.00019530035,0.0001528727,0.000040446437,0.000120772864,0.000078772086,0.006982879],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985555,0.00036619982,0.00007312808,0.00026592356,0.0004105961,0.00032872774],"domain_scores_gemma":[0.99815303,0.00058723777,0.00016515527,0.00034864084,0.00039050894,0.00035540157],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016730886,0.00065796776,0.0008825702,0.0028879398,0.0016672584,0.002449106,0.0006607396,0.0007482497,0.005926488],"category_scores_gemma":[0.0037147687,0.00035656916,0.001184742,0.0009965332,0.0047218525,0.0056319446,0.0044630994,0.0023856722,0.00055607327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008934667,0.0000073458896,0.00016133425,0.000017364282,0.0000037096208,0.00003172273,0.00015709427,0.00047150912,0.00048481027,0.9963091,0.00027775406,0.002069329],"study_design_scores_gemma":[0.0000064569595,0.000019539151,0.00027353477,0.000021354215,0.0000072259772,0.00008412292,0.00014446335,0.004437112,0.0005522759,0.9915461,0.0028964938,0.0000113021615],"about_ca_topic_score_codex":0.0018112245,"about_ca_topic_score_gemma":0.0010839419,"teacher_disagreement_score":0.005926488,"about_ca_system_score_codex":0.00169788,"about_ca_system_score_gemma":0.00048947695,"threshold_uncertainty_score":0.019826055},"labels":[],"label_agreement":null},{"id":"W4387892093","doi":"10.48550/arxiv.2310.13460","title":"A Langlands duality of elliptic Hecke algebras","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Mathematics; Pure mathematics; Duality (order theory); Langlands dual group; Functor; Algebra over a field; Hecke operator; Affine transformation; Geodetic datum; Modular form","score_opus":0.21044006457446582,"score_gpt":0.2569125160383446,"score_spread":0.04647245146387877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387892093","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7582736,0.00085078477,0.106771834,0.0016864064,0.0003687487,0.000055521243,0.0002462365,0.00023042543,0.13151646],"genre_scores_gemma":[0.97823775,0.00022475411,0.00778267,0.00022302059,0.00021298883,0.00002385156,0.00011628962,0.00003063074,0.0131481625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995283,0.00008774323,0.000020164109,0.00013203903,0.00013509294,0.00009665343],"domain_scores_gemma":[0.9994149,0.00009910614,0.00008078223,0.00008227769,0.00013868196,0.00018420657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006546445,0.00031956105,0.00042557737,0.0014496966,0.0016349979,0.002611162,0.00053224474,0.00083275925,0.004766103],"category_scores_gemma":[0.0011752297,0.00026098295,0.0005623124,0.00055518455,0.0026564014,0.004327726,0.001958215,0.0017093599,0.0005925241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000074816458,0.000015343889,0.00015738267,0.000008446464,0.0000016893055,0.000051881234,0.00017840682,0.00013986308,0.00092041044,0.99704415,0.00014741707,0.0013275885],"study_design_scores_gemma":[0.000012725399,0.000034928584,0.0005268986,0.000014221196,0.0000049840314,0.000262931,0.0002509027,0.0022958294,0.0012439725,0.9914954,0.0038420162,0.000015074232],"about_ca_topic_score_codex":0.00046424734,"about_ca_topic_score_gemma":0.0003160772,"teacher_disagreement_score":0.004766103,"about_ca_system_score_codex":0.00088059955,"about_ca_system_score_gemma":0.0004927292,"threshold_uncertainty_score":0.015944242},"labels":[],"label_agreement":null},{"id":"W4387924186","doi":"10.1016/j.jcta.2023.105829","title":"A bivariate Q-polynomial structure for the non-binary Johnson scheme","year":2023,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Agence Nationale de la Recherche; American Heart Association","keywords":"Mathematics; Univariate; Association scheme; Bivariate analysis; Polynomial; Binary number; Scheme (mathematics); Combinatorics; Discrete mathematics; Algebra over a field; Pure mathematics; Multivariate statistics; Mathematical analysis; Statistics; Arithmetic","score_opus":0.020019275015350186,"score_gpt":0.3032173558796922,"score_spread":0.283198080864342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387924186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62791044,0.000874056,0.1306456,0.0039623547,0.00068880926,0.00013170009,0.0008567408,0.0003949232,0.23453538],"genre_scores_gemma":[0.95625997,0.00040013343,0.010042771,0.00038883477,0.00035166857,0.000043845983,0.0002813143,0.000080317455,0.03215121],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991116,0.00019427775,0.000041867075,0.00016968104,0.00022524064,0.0002573249],"domain_scores_gemma":[0.99874413,0.00035934933,0.00019274732,0.00017580617,0.00020241633,0.00032554896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010753537,0.0004720807,0.00091215345,0.0018841488,0.003167573,0.004618569,0.001068608,0.0010722665,0.012250179],"category_scores_gemma":[0.0022077877,0.00042355093,0.00066456414,0.0018241457,0.0042105326,0.0046578683,0.0026258845,0.002696166,0.0020546948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015341679,0.000010378285,0.00008313509,0.000007564712,0.0000011676916,0.000022706423,0.00008170069,0.00017113844,0.00020173866,0.9979107,0.0003448183,0.0011495539],"study_design_scores_gemma":[0.000021209637,0.000018097155,0.00032089572,0.000009067214,0.0000064237097,0.00006696743,0.00009377892,0.0017997494,0.00028005335,0.9934888,0.0038761564,0.00001889566],"about_ca_topic_score_codex":0.0023104367,"about_ca_topic_score_gemma":0.0018090077,"teacher_disagreement_score":0.012250179,"about_ca_system_score_codex":0.0023472635,"about_ca_system_score_gemma":0.0014828595,"threshold_uncertainty_score":0.040980935},"labels":[],"label_agreement":null},{"id":"W4389133474","doi":"10.1007/s00013-023-01937-z","title":"On the zeta functions of supersingular isogeny graphs and modular curves","year":2023,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Advanced Algebra and Geometry","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 Laval; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Isogeny; Mathematics; Coprime integers; Elliptic curve; Riemann zeta function; Prime (order theory); Modular form; Combinatorics; Modular curve; Graph; Number theory; Supersingular elliptic curve; Integer (computer science); Discrete mathematics; Pure mathematics","score_opus":0.04424374422372909,"score_gpt":0.2886610787605947,"score_spread":0.24441733453686562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389133474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8731624,0.001721273,0.029116819,0.0037839618,0.0005061653,0.00006031577,0.00019262264,0.0002213473,0.091235094],"genre_scores_gemma":[0.98262155,0.0010744095,0.002036225,0.00021604696,0.00060162094,0.00004727266,0.00015949944,0.00010184063,0.013141393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994167,0.00017036045,0.000022226872,0.00007420612,0.00016546392,0.00015095533],"domain_scores_gemma":[0.9977228,0.0009105197,0.00037662097,0.00014417413,0.00024708384,0.00059873064],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019042622,0.0020512969,0.0015081199,0.008455312,0.0027628753,0.0052235117,0.0017834014,0.0016207419,0.007993978],"category_scores_gemma":[0.0067433864,0.0007442215,0.00092272734,0.0033820583,0.0062811784,0.0063471776,0.0031740903,0.0032155334,0.0011983231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000104429164,0.00004125594,0.0006188049,0.00003871311,0.00001136105,0.00014283945,0.0004342752,0.001866555,0.0006382397,0.9905229,0.001185049,0.004395561],"study_design_scores_gemma":[0.000030531122,0.000012935386,0.0005114496,0.000025192994,0.000008797626,0.000092600814,0.00020428415,0.0060767946,0.00026475592,0.9919368,0.0008201819,0.00001568445],"about_ca_topic_score_codex":0.0015042789,"about_ca_topic_score_gemma":0.0012137492,"teacher_disagreement_score":0.008455312,"about_ca_system_score_codex":0.002719795,"about_ca_system_score_gemma":0.00088608265,"threshold_uncertainty_score":0.026742458},"labels":[],"label_agreement":null},{"id":"W4390112280","doi":"10.3842/sigma.2023.104","title":"Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices","year":2023,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Advanced Algebra and Geometry","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":"Mathematics; Symplectic geometry; Pure mathematics; Symplectic vector space; Mathematical analysis; Symplectic matrix; Dimension (graph theory); Symplectic group; Eigenvalues and eigenvectors; Kernel (algebra); Matrix (chemical analysis); Moduli space; Moment map; Symplectic representation; Physics","score_opus":0.041333884600738204,"score_gpt":0.3993813236791801,"score_spread":0.3580474390784419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390112280","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67077947,0.000995362,0.2759468,0.0010178455,0.00019836248,0.00006266594,0.00016832189,0.00012635697,0.050704733],"genre_scores_gemma":[0.9700721,0.00071023125,0.018261546,0.00010979939,0.0002022787,0.000036869318,0.00009495923,0.00009448794,0.010417825],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996735,0.00006490937,0.000018921453,0.00005130926,0.00012314357,0.00006822226],"domain_scores_gemma":[0.999684,0.000056508587,0.00007292182,0.000041860152,0.00006584527,0.00007888731],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005378126,0.00063238334,0.00048529156,0.0023109887,0.0007663892,0.0020833127,0.0005919038,0.0006400235,0.0040036477],"category_scores_gemma":[0.001108244,0.00023897241,0.00056306133,0.0007711091,0.002444054,0.0037013257,0.0012105999,0.0012227305,0.00055726623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000075860526,0.0000114227005,0.00013074881,0.000013899959,0.0000025758827,0.00006563863,0.00012714387,0.0014518395,0.0014705863,0.99469805,0.000112692425,0.0019077429],"study_design_scores_gemma":[0.000009733991,0.000026513078,0.00037924992,0.000016652553,0.0000036639183,0.00019263629,0.00014061511,0.02676074,0.0010445389,0.9696437,0.0017667331,0.000015252444],"about_ca_topic_score_codex":0.0007059106,"about_ca_topic_score_gemma":0.000605651,"teacher_disagreement_score":0.0040036477,"about_ca_system_score_codex":0.0006601558,"about_ca_system_score_gemma":0.00046527028,"threshold_uncertainty_score":0.013393521},"labels":[],"label_agreement":null},{"id":"W4390581333","doi":"10.1007/s10013-023-00675-7","title":"On the Irreducibility of p-Adic Banach Principal Series of p-Adic $$\\textrm{GL}_3$$","year":2024,"lang":"en","type":"article","venue":"Vietnam Journal of Mathematics","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; University of Toronto","keywords":"Irreducibility; Mathematics; Conjecture; Series (stratigraphy); Principal (computer security); Pure mathematics; Combinatorics; Discrete mathematics","score_opus":0.04527743087293582,"score_gpt":0.3194309927007799,"score_spread":0.27415356182784406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390581333","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5999903,0.0032245256,0.10078025,0.0044051595,0.0009940917,0.0000737591,0.00035652917,0.00040452206,0.28977084],"genre_scores_gemma":[0.97597915,0.0008797283,0.00698967,0.0002950995,0.0004813305,0.000044507753,0.000115838484,0.00008630316,0.015128466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986785,0.0003257133,0.0000849085,0.0003141589,0.00032273997,0.00027393695],"domain_scores_gemma":[0.99688786,0.0013814192,0.00041861288,0.0002585153,0.00042395288,0.000629692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002680806,0.0011303142,0.0010255064,0.004174936,0.0036181891,0.0044809654,0.0014224037,0.00088128116,0.007416376],"category_scores_gemma":[0.005700907,0.00080146175,0.0012685964,0.001742948,0.008358738,0.008860176,0.0038934408,0.0039194264,0.0005961395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038237205,0.000013678905,0.00015043518,0.000016548176,0.000005078519,0.000078601595,0.00029408085,0.0001313748,0.00031631853,0.997396,0.0001911317,0.0013685203],"study_design_scores_gemma":[0.000016469432,0.000028669208,0.00027422814,0.000011405868,0.000008743114,0.00013769635,0.00012551965,0.001074026,0.00037418806,0.99636877,0.001569293,0.000011088566],"about_ca_topic_score_codex":0.0009799881,"about_ca_topic_score_gemma":0.00087777566,"teacher_disagreement_score":0.007416376,"about_ca_system_score_codex":0.0019830556,"about_ca_system_score_gemma":0.00094249385,"threshold_uncertainty_score":0.024810195},"labels":[],"label_agreement":null},{"id":"W4390604266","doi":"10.1090/ert/667","title":"L-packets over strong real forms","year":2024,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Annotation; Parameterized complexity; Algebraic number; Algebra over a field; Algorithm; Pure mathematics; Computer science; Artificial intelligence; Mathematical analysis","score_opus":0.033199028483480095,"score_gpt":0.36665371266887614,"score_spread":0.33345468418539603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390604266","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29206544,0.0018287261,0.44904906,0.00298195,0.0012233256,0.00016884314,0.00072188186,0.0011575052,0.2508034],"genre_scores_gemma":[0.86838734,0.00086033123,0.060653385,0.00099177,0.00065907446,0.00017834468,0.0004054102,0.00057025085,0.067294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988374,0.00033134708,0.0000975822,0.00026393845,0.00025320845,0.0002164419],"domain_scores_gemma":[0.9989255,0.00028315774,0.00014466586,0.00018283834,0.00025771162,0.00020615356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013655281,0.0008960608,0.000513893,0.0024342546,0.0012580263,0.0034889309,0.0007930982,0.00091806805,0.008022423],"category_scores_gemma":[0.0029010023,0.00039929207,0.001130409,0.0009992342,0.0028480103,0.0065999683,0.0032568148,0.0024763471,0.0024220461],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010568337,0.000005855273,0.000093126466,0.000013062506,0.000002872798,0.000042084575,0.000158286,0.00013157458,0.000301324,0.99565625,0.00055293605,0.0030319786],"study_design_scores_gemma":[0.000012653165,0.000040812127,0.00022341554,0.000027093509,0.000008843059,0.00020982185,0.00021905337,0.0031548694,0.0013272872,0.97730654,0.017450364,0.000019326368],"about_ca_topic_score_codex":0.00047680188,"about_ca_topic_score_gemma":0.000356389,"teacher_disagreement_score":0.008022423,"about_ca_system_score_codex":0.001503973,"about_ca_system_score_gemma":0.00059718,"threshold_uncertainty_score":0.026837707},"labels":[],"label_agreement":null},{"id":"W4391125720","doi":"10.48550/arxiv.2401.12618","title":"Computation of classical and $v$-adic $L$-series of $t$-motives","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Canarie","funders":"","keywords":"Conjecture; Series (stratigraphy); Computation; Order (exchange); Reduction (mathematics); Mathematics; Pure mathematics; Mathematical economics; Applied mathematics; Algorithm; Economics; Geometry; Geology","score_opus":0.09321160831470264,"score_gpt":0.23427716657314848,"score_spread":0.14106555825844586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391125720","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41541144,0.00042877102,0.54477984,0.0008543723,0.00023836599,0.00017374495,0.0011927021,0.004936016,0.031984754],"genre_scores_gemma":[0.7518965,0.00018531845,0.23725605,0.00017607033,0.000113366135,0.00012181411,0.0017727071,0.00080635166,0.007671819],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993612,0.00010760791,0.000038037822,0.0001710851,0.00020484877,0.00011726199],"domain_scores_gemma":[0.9986456,0.00043706672,0.00012189793,0.00038336866,0.00026028414,0.00015179545],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009107643,0.00072572223,0.0006886967,0.0016089734,0.0008986694,0.0026335607,0.0013143114,0.0007060839,0.009162018],"category_scores_gemma":[0.0043740263,0.00035062892,0.0011524349,0.00095061125,0.0010358943,0.0040107733,0.0018167341,0.0013564548,0.002728376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00085062446,0.00025311852,0.011144165,0.0009852517,0.00014400634,0.00030060217,0.00071342953,0.047349975,0.03985704,0.6601768,0.01931722,0.21890779],"study_design_scores_gemma":[0.00011087927,0.00022132025,0.0011580349,0.000053806933,0.000045723395,0.00025860328,0.00026896823,0.26381832,0.037426684,0.6864158,0.010157635,0.00006412465],"about_ca_topic_score_codex":0.00038707867,"about_ca_topic_score_gemma":0.0009241073,"teacher_disagreement_score":0.009162018,"about_ca_system_score_codex":0.001139757,"about_ca_system_score_gemma":0.0012386203,"threshold_uncertainty_score":0.03064996},"labels":[],"label_agreement":null},{"id":"W4391164253","doi":"10.56725/instemm.v1is1.8","title":"Sporadic and Exceptional","year":2024,"lang":"en","type":"article","venue":"inSTEMM Journal","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada; Nankai University; Science and Technology Facilities Council; National Science Foundation","keywords":"Computer science","score_opus":0.04401286338911442,"score_gpt":0.3541151983402392,"score_spread":0.31010233495112477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391164253","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9362481,0.00039222778,0.01619672,0.0004435927,0.00006218772,0.00001616571,0.00006727033,0.00014484733,0.046428937],"genre_scores_gemma":[0.9903722,0.00014873057,0.0024769856,0.000052460444,0.00007284495,0.000009743015,0.00007541528,0.000017422153,0.0067742695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967396,0.00003998582,0.0000147151395,0.000082543076,0.000102551305,0.00008628927],"domain_scores_gemma":[0.9993382,0.00012563779,0.00020492708,0.000070223556,0.00006387802,0.00019720675],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032483108,0.00026621405,0.00036850356,0.0020135255,0.0017710363,0.0013954611,0.0005946757,0.0005895672,0.007935757],"category_scores_gemma":[0.0018151219,0.0002129972,0.00026067733,0.0011043288,0.0024164324,0.0024449516,0.0020762328,0.0006852631,0.00054251374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056725163,0.000024027606,0.0037688224,0.000072973795,0.000009394058,0.0006797999,0.0009661895,0.0009868225,0.0018834565,0.9795027,0.0009117911,0.011137167],"study_design_scores_gemma":[0.00002391825,0.000071602764,0.00361932,0.000038170332,0.000015968737,0.0015329828,0.0015768787,0.0055816136,0.0022829454,0.9708026,0.014431617,0.000022459133],"about_ca_topic_score_codex":0.00078363327,"about_ca_topic_score_gemma":0.0009796951,"teacher_disagreement_score":0.007935757,"about_ca_system_score_codex":0.0005174337,"about_ca_system_score_gemma":0.00036221763,"threshold_uncertainty_score":0.02654779},"labels":[],"label_agreement":null},{"id":"W4391648470","doi":"10.4153/s0008439524000122","title":"Integral equivariant cohomology of affine Grassmannians","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Mathematics; Equivariant cohomology; Flag (linear algebra); Equivariant map; Affine transformation; Pure mathematics; Grassmannian; Vector bundle; Cohomology; Generalized flag variety; Stack (abstract data type); De Rham cohomology; Algebra over a field; Lie group; Computer science","score_opus":0.02935942615170869,"score_gpt":0.3067143330359753,"score_spread":0.2773549068842666,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391648470","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9160084,0.00040098175,0.011988488,0.00035989445,0.00008183425,0.000018838095,0.00011627567,0.00019265148,0.07083259],"genre_scores_gemma":[0.9939534,0.00016130898,0.0013482299,0.000029757206,0.000042229756,0.000004782564,0.000059376227,0.000018711233,0.0043821367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998142,0.000016556894,0.0000085725505,0.00003060004,0.00006386793,0.000066212924],"domain_scores_gemma":[0.9998723,0.000012796823,0.00002014535,0.000011350361,0.000025972813,0.0000573991],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014409379,0.00043514662,0.00028550514,0.0017522232,0.00079631887,0.0016741356,0.0004720712,0.00031932048,0.0073229345],"category_scores_gemma":[0.0004020904,0.00014999164,0.00029611177,0.00070520764,0.0014141492,0.0019716788,0.0013639332,0.00075142307,0.0004028908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049905782,0.000039714057,0.0016202037,0.000051578034,0.000011350859,0.0005745709,0.0010740932,0.0011818835,0.011453471,0.97350657,0.00075142784,0.009685235],"study_design_scores_gemma":[0.000029584142,0.00009556875,0.009105118,0.000041468993,0.00003499737,0.0011511769,0.0015327404,0.010357125,0.008285696,0.9574447,0.011868644,0.00005318208],"about_ca_topic_score_codex":0.0014712827,"about_ca_topic_score_gemma":0.0013570343,"teacher_disagreement_score":0.0073229345,"about_ca_system_score_codex":0.0008179554,"about_ca_system_score_gemma":0.0003354344,"threshold_uncertainty_score":0.024497688},"labels":[],"label_agreement":null},{"id":"W4391661156","doi":"10.1090/conm/796/16005","title":"Modular algorithms for Gross–Stark units and Stark–Heegner points","year":2024,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Algebra and Geometry","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; Modular design; Stark effect; Algorithm; Spectral line; Computer science; Programming language; Astronomy; Physics","score_opus":0.0742542129454521,"score_gpt":0.33901637445679916,"score_spread":0.26476216151134707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391661156","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014202137,0.00031262013,0.96953064,0.00039858135,0.00021301505,0.00010379367,0.00016547866,0.0019446908,0.013129086],"genre_scores_gemma":[0.1905925,0.00070651097,0.7864882,0.0003377086,0.00035079735,0.0003393239,0.0007055132,0.0020103892,0.018469114],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99831843,0.0004063433,0.0001426388,0.00038857633,0.0005702346,0.00017370809],"domain_scores_gemma":[0.9979108,0.0008268431,0.00015414167,0.0005891293,0.00042939806,0.0000896065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024265563,0.0016220764,0.0012175698,0.003187178,0.0012835573,0.0033900668,0.00221503,0.0010256427,0.02070848],"category_scores_gemma":[0.010872334,0.00066055474,0.001998731,0.0025095015,0.0023172495,0.006761596,0.0049135773,0.0035976206,0.009052727],"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":[0.00010698465,0.000068646965,0.00058673456,0.00025833893,0.00003668486,0.000068439615,0.0004954349,0.007988159,0.0021061315,0.746523,0.009361959,0.23239958],"study_design_scores_gemma":[0.00006114595,0.000056890527,0.0002464873,0.00005570759,0.000022378368,0.000100901125,0.00012697157,0.04655766,0.005664728,0.9294421,0.017620353,0.000044677778],"about_ca_topic_score_codex":0.00075985916,"about_ca_topic_score_gemma":0.0011516984,"teacher_disagreement_score":0.02070848,"about_ca_system_score_codex":0.0015093122,"about_ca_system_score_gemma":0.0009580549,"threshold_uncertainty_score":0.06927675},"labels":[],"label_agreement":null},{"id":"W4391661164","doi":"10.1090/conm/796/16004","title":"A database of paramodular forms from quinary orthogonal modular forms","year":2024,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Quinary; Modular design; Degree (music); Mathematics; Computer science; Algebra over a field; Arithmetic; Pure mathematics; Programming language; Physics; Chemistry","score_opus":0.04206848893165896,"score_gpt":0.31999289450389756,"score_spread":0.27792440557223863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391661164","genre_codex":"dataset","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29190627,0.0026832852,0.16724268,0.0016780763,0.0005876157,0.00039556305,0.38343024,0.025261762,0.12681451],"genre_scores_gemma":[0.56424344,0.0019453414,0.13212775,0.00034285564,0.0002199193,0.00027689853,0.27076837,0.0021812308,0.027894212],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992199,0.000079921636,0.00009651281,0.00024320377,0.000288737,0.00007176432],"domain_scores_gemma":[0.99750274,0.00054428534,0.00025862982,0.0010356264,0.00048357737,0.00017512692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005125458,0.00062233134,0.00077060156,0.0048536155,0.000751898,0.003469365,0.0012265402,0.00048819813,0.036566418],"category_scores_gemma":[0.0064749303,0.00039905251,0.00052910915,0.008607142,0.0004529825,0.005624654,0.0015187756,0.0008360079,0.009801321],"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":[0.0006031746,0.00025528998,0.02581703,0.00088856113,0.00009286823,0.00067188253,0.0012558632,0.0075604827,0.008268597,0.3985477,0.15259518,0.4034434],"study_design_scores_gemma":[0.00012621531,0.0001637496,0.01115286,0.00022890304,0.00006841284,0.001154241,0.00092221884,0.019804107,0.013372374,0.35079107,0.6020578,0.00015802722],"about_ca_topic_score_codex":0.0014376164,"about_ca_topic_score_gemma":0.0018251452,"teacher_disagreement_score":0.036566418,"about_ca_system_score_codex":0.0008903251,"about_ca_system_score_gemma":0.000992181,"threshold_uncertainty_score":0.12232679},"labels":[],"label_agreement":null},{"id":"W4391661165","doi":"10.1090/conm/796/16007","title":"The landscape of L-functions: degree 3 and conductor 1","year":2024,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Algebra and Geometry","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; Degree (music); Conductor; Pure mathematics; Geometry; Physics; Acoustics","score_opus":0.06332997806015238,"score_gpt":0.3187915899679042,"score_spread":0.2554616119077518,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391661165","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.062485717,0.0021418224,0.8064644,0.0073555773,0.00083553547,0.000045003337,0.0007942978,0.004056797,0.11582087],"genre_scores_gemma":[0.58680546,0.0021788746,0.35731968,0.0023276096,0.0005748212,0.00020579887,0.0012774292,0.006563957,0.042746447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9980525,0.0006568849,0.00008379057,0.00031345699,0.0005933451,0.00030003866],"domain_scores_gemma":[0.9933827,0.0038018322,0.0002668292,0.0011944294,0.0009640382,0.00039024948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003106534,0.0010731642,0.0011044388,0.0026226281,0.002356911,0.0061144675,0.0024367513,0.0021923054,0.023350203],"category_scores_gemma":[0.023007486,0.000636847,0.0017246382,0.0021645383,0.003559526,0.010363769,0.0032479186,0.0043574,0.0065897065],"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":[0.00010314811,0.000025106114,0.0007433314,0.0001320499,0.000011397573,0.000092252696,0.00022628541,0.01296218,0.00056188874,0.9400409,0.013581496,0.031520125],"study_design_scores_gemma":[0.00002255811,0.000027011143,0.00027643822,0.00011004408,0.000015768446,0.000121990095,0.00013509848,0.092074074,0.0015414753,0.87968314,0.025941662,0.00005081561],"about_ca_topic_score_codex":0.006406804,"about_ca_topic_score_gemma":0.0068793357,"teacher_disagreement_score":0.023350203,"about_ca_system_score_codex":0.004140388,"about_ca_system_score_gemma":0.0016165775,"threshold_uncertainty_score":0.07811421},"labels":[],"label_agreement":null},{"id":"W4391758693","doi":"10.1017/fms.2024.7","title":"Local-global compatibility for regular algebraic cuspidal automorphic representations when","year":2024,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Advanced Algebra and Geometry","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":"Compatibility (geochemistry); Mathematics; Algebraic number; Pure mathematics; Automorphic form; Algebra over a field; Mathematical analysis; Engineering","score_opus":0.03871112310120333,"score_gpt":0.3440954759146597,"score_spread":0.3053843528134564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391758693","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87529075,0.00013967535,0.07249432,0.00041175575,0.00011911992,0.00008015681,0.000094532326,0.00036662957,0.05100301],"genre_scores_gemma":[0.9907838,0.0000485575,0.004032622,0.000060741168,0.000054744243,0.00003466077,0.000054128748,0.00005347609,0.004877303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990625,0.00018005139,0.000046408586,0.00021940385,0.00028177738,0.00020981235],"domain_scores_gemma":[0.9993389,0.00012586286,0.000106145766,0.00012810536,0.00010656985,0.00019432582],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010442283,0.00045321186,0.0005340908,0.0011304752,0.0016068224,0.0021202224,0.00047615034,0.00069944013,0.006193175],"category_scores_gemma":[0.0015789886,0.00023555543,0.0006220333,0.00046615058,0.002542897,0.0026737077,0.0032722575,0.0017315997,0.00093521917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012845718,0.00009691528,0.0016890636,0.000046857484,0.0000165899,0.0007447035,0.0011917949,0.0006276611,0.010125639,0.9752687,0.00045142818,0.009612153],"study_design_scores_gemma":[0.00014117864,0.0004551855,0.00495056,0.00006445176,0.00007238079,0.0018375512,0.0018780541,0.01438694,0.029243195,0.93635386,0.010545257,0.00007139726],"about_ca_topic_score_codex":0.00026497425,"about_ca_topic_score_gemma":0.00019271437,"teacher_disagreement_score":0.006193175,"about_ca_system_score_codex":0.00072162505,"about_ca_system_score_gemma":0.0003257543,"threshold_uncertainty_score":0.020718217},"labels":[],"label_agreement":null},{"id":"W4391988233","doi":"10.2140/jsag.2025.15.57","title":"The multigraded BGG correspondence in Macaulay2","year":2025,"lang":"en","type":"preprint","venue":"Journal of Software for Algebra and Geometry","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada; University of Minnesota; National Science Foundation","keywords":"Linguistics; Philosophy","score_opus":0.030806767056676627,"score_gpt":0.3397836385569617,"score_spread":0.3089768715002851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391988233","genre_codex":"methods","genre_gemma":"software","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"software","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012786568,0.0004900342,0.93641776,0.00022824353,0.00018646185,0.00007761427,0.0014721075,0.020373726,0.027967626],"genre_scores_gemma":[0.24939393,0.00090498297,0.7060303,0.00045924584,0.0002712026,0.0004228893,0.0040347707,0.016026882,0.022455778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9983045,0.00033803887,0.00011422803,0.00033671185,0.00069244555,0.00021399402],"domain_scores_gemma":[0.99898547,0.00026604114,0.000064771295,0.00036216047,0.0002508698,0.00007059217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017838879,0.0011932043,0.0010551397,0.0021456573,0.0011330172,0.0038837625,0.002294174,0.00077213265,0.033770323],"category_scores_gemma":[0.003814882,0.0008587955,0.0020685978,0.0019088828,0.0015495968,0.006347668,0.0042533567,0.0024473742,0.013182038],"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":[0.00011080054,0.000043973738,0.0007723946,0.00031168628,0.000040969546,0.00014407781,0.0006950454,0.004164323,0.0032613084,0.8802054,0.021330435,0.08891965],"study_design_scores_gemma":[0.000052011066,0.00004892786,0.00058933086,0.0001178538,0.000045593,0.00024799348,0.00011280457,0.022781728,0.01194503,0.7963073,0.16766295,0.00008860502],"about_ca_topic_score_codex":0.0015552205,"about_ca_topic_score_gemma":0.0013652244,"teacher_disagreement_score":0.033770323,"about_ca_system_score_codex":0.0012774889,"about_ca_system_score_gemma":0.00086394727,"threshold_uncertainty_score":0.112972975},"labels":[],"label_agreement":null},{"id":"W4392169474","doi":"10.4171/jncg/558","title":"A cogroupoid associated to preregular forms","year":2024,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Advanced Algebra and Geometry","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":"U.S. Naval Academy; Air Force Office of Scientific Research; Banff International Research Station for Mathematical Innovation and Discovery; Louisiana State University; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics","score_opus":0.031889724431599716,"score_gpt":0.3652240880953021,"score_spread":0.3333343636637024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392169474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8444605,0.00021672533,0.08636681,0.00029484794,0.00036260416,0.000108033666,0.00018981594,0.00032307263,0.06767762],"genre_scores_gemma":[0.9697684,0.000103315986,0.014478962,0.0001013573,0.00009172461,0.00004652067,0.00015197667,0.000075254575,0.015182602],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995987,0.000047203237,0.000020871194,0.00011693101,0.000104630824,0.00011171519],"domain_scores_gemma":[0.99935573,0.000059438305,0.00010997315,0.0001469989,0.00011337257,0.00021444318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003938364,0.00037074534,0.00035106303,0.0012307485,0.0015086856,0.0012322705,0.00044767477,0.0005048499,0.005495364],"category_scores_gemma":[0.0007606318,0.00022077616,0.0005443562,0.00045432308,0.0022845925,0.0018392518,0.001614332,0.0009680073,0.00073411444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006360525,0.000026036689,0.0008699941,0.000029888612,0.0000058213222,0.00030541356,0.00058159616,0.0003516284,0.008549107,0.98188204,0.0005453006,0.0067895832],"study_design_scores_gemma":[0.000050323197,0.0002851607,0.0034254398,0.00004194232,0.000022760969,0.0015192695,0.0010688454,0.0048441757,0.008797715,0.9384038,0.041469574,0.000070984344],"about_ca_topic_score_codex":0.00061244424,"about_ca_topic_score_gemma":0.00071086275,"teacher_disagreement_score":0.005495364,"about_ca_system_score_codex":0.0005985706,"about_ca_system_score_gemma":0.0003792627,"threshold_uncertainty_score":0.01838386},"labels":[],"label_agreement":null},{"id":"W4392282123","doi":"10.1090/proc/16806","title":"Answer to a conjecture of Lau–Ülger","year":2024,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Conjecture; Mathematics; Mathematical economics; Combinatorics","score_opus":0.02019636524710601,"score_gpt":0.31627364255770696,"score_spread":0.29607727731060096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392282123","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08678152,0.014627273,0.100455105,0.40161484,0.015889632,0.000109251865,0.0032311243,0.0025112452,0.37478003],"genre_scores_gemma":[0.79566085,0.0060289972,0.027681848,0.0652264,0.014846401,0.00040159444,0.003830468,0.0011272107,0.08519613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959986,0.0013894594,0.00015152672,0.0010885096,0.0008305625,0.00054139027],"domain_scores_gemma":[0.98426074,0.009520259,0.00094746496,0.0020493336,0.0022738345,0.0009484657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035813078,0.001353713,0.0026740055,0.0012683325,0.0035316937,0.0040190276,0.0020558918,0.004646636,0.03610131],"category_scores_gemma":[0.03295086,0.0007163846,0.0019349775,0.0016880906,0.006242599,0.014000908,0.0051370687,0.0068977866,0.008056826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004378595,0.00009792092,0.0013207769,0.0004916535,0.00006808006,0.00023150916,0.00047665465,0.0018508753,0.0004489905,0.81965953,0.15681821,0.018097958],"study_design_scores_gemma":[0.000067554516,0.000032750733,0.0007224331,0.00007905286,0.000024297045,0.00014759049,0.00017475699,0.0043173274,0.00024836743,0.9667691,0.02738662,0.00003021804],"about_ca_topic_score_codex":0.0020477439,"about_ca_topic_score_gemma":0.0012603621,"teacher_disagreement_score":0.03610131,"about_ca_system_score_codex":0.002447116,"about_ca_system_score_gemma":0.0016471063,"threshold_uncertainty_score":0.12077093},"labels":[],"label_agreement":null},{"id":"W4392387589","doi":"10.1103/physrevlett.132.091601","title":"Multiparticle Factorization and the Rigidity of String Theory","year":2024,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":27,"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":"Walter Burke Institute for Theoretical Physics; New York University; Simons Foundation; York University; Fundação para a Ciência e a Tecnologia; U.S. Department of Energy","keywords":"Rigidity (electromagnetism); Factorization; Physics; String theory; String field theory; Theoretical physics; Quantum mechanics; Computer science; Algorithm","score_opus":0.029879067175005068,"score_gpt":0.34861319613011177,"score_spread":0.3187341289551067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392387589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75532526,0.0031585223,0.10271575,0.006516258,0.00035150727,0.000035740468,0.00015942725,0.00038880395,0.1313487],"genre_scores_gemma":[0.9875236,0.0004086096,0.008626297,0.0002219742,0.0001169366,0.000014687551,0.00005124118,0.000038496964,0.0029983113],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909484,0.0003636992,0.000042236123,0.0001463101,0.0002434483,0.000109388246],"domain_scores_gemma":[0.99780315,0.00073808135,0.0003348345,0.00077452423,0.00016958929,0.00017975275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001997204,0.00034336105,0.00061062025,0.0010242698,0.0014014937,0.0020216492,0.0007482084,0.0012781882,0.003111825],"category_scores_gemma":[0.0031729634,0.00041570276,0.0006284704,0.0004033427,0.0064895637,0.003893143,0.0016474278,0.0019723994,0.00066674774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001851957,0.000010482724,0.00017930493,0.000011511439,0.0000033233507,0.00007499482,0.00013519486,0.0010564246,0.0005960773,0.9960931,0.00017031985,0.0016507313],"study_design_scores_gemma":[0.00000357091,0.0000056485374,0.00017778389,0.0000054081656,9.181549e-7,0.00003970475,0.000026675938,0.0024835668,0.00010901311,0.9967801,0.00036268219,0.0000048852326],"about_ca_topic_score_codex":0.0005793712,"about_ca_topic_score_gemma":0.00044786863,"teacher_disagreement_score":0.003111825,"about_ca_system_score_codex":0.0007956598,"about_ca_system_score_gemma":0.0006797055,"threshold_uncertainty_score":0.01056236},"labels":[],"label_agreement":null},{"id":"W4392429952","doi":"10.4153/s0008439524000171","title":"Moments of the central <i>L</i>-values of the Asai lifts","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Pure mathematics","score_opus":0.015631952032458103,"score_gpt":0.26066473171565785,"score_spread":0.24503277968319975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392429952","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90278,0.00042891855,0.059992354,0.00082064903,0.0001980501,0.00003727605,0.00015005755,0.0003277163,0.035265025],"genre_scores_gemma":[0.993292,0.000112847156,0.0029392105,0.000051790346,0.0002071357,0.00002827363,0.000050341514,0.000071312454,0.0032471388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999485,0.000082037426,0.000020273992,0.00008272329,0.00015174886,0.00017813122],"domain_scores_gemma":[0.99786985,0.00058945135,0.00036291618,0.00018707826,0.00026683195,0.0007238747],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011270784,0.00077732303,0.0008663157,0.0036653292,0.0014768287,0.0032050507,0.0011422667,0.0008667599,0.008356446],"category_scores_gemma":[0.004539362,0.00043662707,0.00077296194,0.00079301157,0.004478335,0.0028617366,0.0023227714,0.0023686285,0.00080439856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002041491,0.00006423156,0.0017818483,0.000096732925,0.000020845955,0.0004520673,0.00053779763,0.0027418132,0.017056525,0.97032857,0.0011870319,0.0055284323],"study_design_scores_gemma":[0.000061556966,0.000170234,0.0070333863,0.00009727376,0.000029312634,0.0010891783,0.0004904331,0.06309205,0.013895353,0.9107332,0.0031708698,0.00013711887],"about_ca_topic_score_codex":0.00047587723,"about_ca_topic_score_gemma":0.0003443161,"teacher_disagreement_score":0.008356446,"about_ca_system_score_codex":0.0013873013,"about_ca_system_score_gemma":0.00057679147,"threshold_uncertainty_score":0.027955115},"labels":[],"label_agreement":null},{"id":"W4392488138","doi":"10.4213/mzm14258","title":"Об $\\mathfrak{L}_{\\infty}$-лифтингах морфизма Гельфанда-Наймарка","year":2024,"lang":"ru","type":"preprint","venue":"Математические заметки","topic":"Advanced Algebra and Geometry","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":"Strathcona Community Hospital","funders":"","keywords":"Morphism; Mathematics; Pure mathematics; Combinatorics; Algebra over a field; Physics","score_opus":0.03316324621732961,"score_gpt":0.33431733331858066,"score_spread":0.301154087101251,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392488138","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02994704,0.004821971,0.11694977,0.007391528,0.0011028248,0.00008092246,0.0007634012,0.00068103493,0.8382616],"genre_scores_gemma":[0.6394871,0.005922489,0.10023423,0.0010646653,0.0010838053,0.0003056442,0.0006695777,0.0013818049,0.24985068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837863,0.00043237786,0.00006501642,0.00032263537,0.0006204215,0.00018089837],"domain_scores_gemma":[0.9991794,0.0001985622,0.00009757159,0.00016258404,0.0002698584,0.000091922375],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097042293,0.00046478308,0.000379594,0.0014585255,0.0021976933,0.004464441,0.0006309553,0.0009952086,0.0383701],"category_scores_gemma":[0.0024427534,0.0004503091,0.00050232356,0.0010205222,0.004623216,0.0036617946,0.0023484745,0.0027315866,0.013133904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028777315,0.0000115237835,0.00023821868,0.00007763647,0.000007602865,0.00007825112,0.0006099718,0.0001733453,0.0021157635,0.9659722,0.0066132657,0.024073357],"study_design_scores_gemma":[0.000017910743,0.000034424804,0.0012641638,0.0000725197,0.000014870707,0.0004442068,0.0006625608,0.0008182482,0.0055894135,0.641381,0.34965888,0.00004185758],"about_ca_topic_score_codex":0.0017870162,"about_ca_topic_score_gemma":0.0022470881,"teacher_disagreement_score":0.0383701,"about_ca_system_score_codex":0.002037793,"about_ca_system_score_gemma":0.0014340742,"threshold_uncertainty_score":0.12836081},"labels":[],"label_agreement":null},{"id":"W4392757571","doi":"10.1090/proc/16835","title":"Invariant embeddings and weighted permutations","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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; Saint Mary's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Invariant (physics); Mathematics; Combinatorics; Pure mathematics; Mathematical physics","score_opus":0.015847170885052084,"score_gpt":0.29921155606073424,"score_spread":0.28336438517568213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392757571","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23075944,0.0007005662,0.5138827,0.0016100397,0.000901175,0.00011452233,0.0005872477,0.0012416726,0.25020272],"genre_scores_gemma":[0.89208025,0.0005800698,0.04013441,0.00069084496,0.00048528414,0.00014449196,0.000737846,0.00079334807,0.0643535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981823,0.00038463334,0.00010392942,0.0004967356,0.0004551632,0.00037738096],"domain_scores_gemma":[0.99807113,0.0004899048,0.00026490734,0.00050196477,0.0004272252,0.0002448988],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009524145,0.0009866495,0.0005159016,0.0013592105,0.0014849189,0.0026546244,0.0010119091,0.0008320026,0.015348094],"category_scores_gemma":[0.003549887,0.00043728235,0.0013859293,0.00083907647,0.003067125,0.0058775125,0.0039131413,0.0022221592,0.00405076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015252001,0.000016030734,0.0001096226,0.000019100651,0.0000065205963,0.00007273387,0.00013619938,0.0005232723,0.00062553416,0.992543,0.00092236954,0.0050104433],"study_design_scores_gemma":[0.000007166396,0.00002438005,0.000103943355,0.000010077461,0.000006591009,0.00007471182,0.000092820614,0.0038590685,0.0012876227,0.98836833,0.006154213,0.0000110531155],"about_ca_topic_score_codex":0.0008496884,"about_ca_topic_score_gemma":0.0007881025,"teacher_disagreement_score":0.015348094,"about_ca_system_score_codex":0.0012606016,"about_ca_system_score_gemma":0.0006420424,"threshold_uncertainty_score":0.051344514},"labels":[],"label_agreement":null},{"id":"W4393213606","doi":"10.48550/arxiv.2403.16748","title":"Arthur packets for pure real forms of symplectic and special orthogonal groups","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Symplectic geometry; Network packet; Mathematics; Pure mathematics; Combinatorics; Computer science; Computer network","score_opus":0.07462023746941378,"score_gpt":0.23431720550520074,"score_spread":0.15969696803578698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393213606","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7415533,0.0012086944,0.17012495,0.0010797384,0.0005113946,0.0001187885,0.00015113724,0.00016324793,0.08508873],"genre_scores_gemma":[0.9630077,0.000726972,0.016816081,0.00024076598,0.00037194244,0.00006395228,0.00011577434,0.00009189922,0.018564856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990421,0.0002843184,0.00005789465,0.00013428279,0.00031175534,0.00016956344],"domain_scores_gemma":[0.99827766,0.00052192586,0.00035377566,0.00021202778,0.0002560059,0.00037867422],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014890231,0.0009994459,0.0004671492,0.0031372788,0.0015917472,0.0034747832,0.00081760786,0.0008635774,0.0048439656],"category_scores_gemma":[0.0033625655,0.00035378532,0.0008617198,0.00097345054,0.004395812,0.005407141,0.0033567394,0.0021255931,0.00063359836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008551269,0.000007531644,0.00013549482,0.000009206515,0.0000022750937,0.000040339157,0.00016499983,0.00015885608,0.00046617255,0.9971365,0.00016056959,0.0017095929],"study_design_scores_gemma":[0.00001425263,0.00005986743,0.0005293902,0.000018428203,0.0000092885875,0.00029751996,0.00026069736,0.004986964,0.001326627,0.9881087,0.0043641403,0.000024182193],"about_ca_topic_score_codex":0.00043194968,"about_ca_topic_score_gemma":0.00029720747,"teacher_disagreement_score":0.0048439656,"about_ca_system_score_codex":0.0007964783,"about_ca_system_score_gemma":0.00043682713,"threshold_uncertainty_score":0.016204715},"labels":[],"label_agreement":null},{"id":"W4393319719","doi":"10.1090/proc/16866","title":"𝑝-adic limit of the Eisenstein series on the exceptional group of type 𝐸_{7,3}","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Type (biology); Computer science; Artificial intelligence; Mathematics; Biology","score_opus":0.02596258225227258,"score_gpt":0.2822374299762171,"score_spread":0.2562748477239445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393319719","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68223286,0.0010585453,0.062796324,0.0014849241,0.0008177332,0.000042582833,0.00017571644,0.00052112096,0.25087032],"genre_scores_gemma":[0.9541719,0.00037873967,0.008188833,0.00025388077,0.0002869998,0.000041173225,0.00018725867,0.00016283458,0.036328476],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993944,0.00010304696,0.000029844125,0.00012121212,0.00019256625,0.0001588868],"domain_scores_gemma":[0.99948716,0.00010411094,0.00008048431,0.000048722253,0.0001301187,0.00014949658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006531974,0.0007172894,0.0007067624,0.0013592682,0.0020300662,0.0020332034,0.0007518679,0.0007110379,0.008458159],"category_scores_gemma":[0.0015465012,0.0002243094,0.0008230826,0.00065453164,0.0022376666,0.002367518,0.0015333381,0.0014930392,0.0019825716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004133113,0.000021199776,0.00053207,0.000039951537,0.000013977936,0.0005301317,0.0003715551,0.000573265,0.0016018655,0.98985565,0.0014321181,0.0049868706],"study_design_scores_gemma":[0.000024343883,0.00004699702,0.001032292,0.00004337197,0.000022433756,0.0007767783,0.00029538706,0.0056396555,0.0034000415,0.97577274,0.012911269,0.000034645625],"about_ca_topic_score_codex":0.0010575821,"about_ca_topic_score_gemma":0.0008559574,"teacher_disagreement_score":0.008458159,"about_ca_system_score_codex":0.0013881505,"about_ca_system_score_gemma":0.00068627147,"threshold_uncertainty_score":0.028295398},"labels":[],"label_agreement":null},{"id":"W4393357490","doi":"10.1007/s00283-024-10330-9","title":"π Newly Calculated: for Li Lan","year":2024,"lang":"en","type":"article","venue":"The Mathematical Intelligencer","topic":"Advanced Algebra and Geometry","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":"3v Geomatics (Canada)","funders":"","keywords":"Computer science","score_opus":0.10649652559373234,"score_gpt":0.4152796274009224,"score_spread":0.30878310180719004,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393357490","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07552681,0.00078056287,0.21555385,0.0027590748,0.0052337963,0.0001838633,0.0028734412,0.008235292,0.6888533],"genre_scores_gemma":[0.5540204,0.0008110383,0.1033512,0.0014282024,0.0008835477,0.000333318,0.0038271758,0.0089324815,0.3264126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9994506,0.0000786183,0.000026653877,0.0001176731,0.00018265884,0.00014379216],"domain_scores_gemma":[0.9993819,0.00006766903,0.00003618737,0.00024678788,0.0002040244,0.00006329248],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060657243,0.0006971931,0.0006277661,0.0015454626,0.0018227666,0.0032753057,0.0014476811,0.00091668876,0.105594516],"category_scores_gemma":[0.0025655937,0.00031381386,0.0006020181,0.0010820631,0.0010985767,0.005081481,0.0018319801,0.002166163,0.020315045],"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":[0.00024755707,0.00008061359,0.0017731573,0.00025945343,0.00003000331,0.0003285744,0.0004031781,0.0022711053,0.0036446573,0.84599966,0.055830676,0.08913138],"study_design_scores_gemma":[0.00009333423,0.00011665945,0.0020818296,0.00015736886,0.000050884075,0.00089638174,0.0006679034,0.0234676,0.020679304,0.6089046,0.34275064,0.00013356474],"about_ca_topic_score_codex":0.0012227445,"about_ca_topic_score_gemma":0.0017474174,"teacher_disagreement_score":0.105594516,"about_ca_system_score_codex":0.0011446604,"about_ca_system_score_gemma":0.0013551415,"threshold_uncertainty_score":0.35324883},"labels":[],"label_agreement":null},{"id":"W4394200406","doi":"10.28924/2291-8639-22-2024-62","title":"Paley Wiener Theorem on a Reductive Lie Group","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Advanced Algebra and Geometry","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; Group (periodic table); Lie group; Pure mathematics; Algebra over a field; Physics","score_opus":0.015699621241351765,"score_gpt":0.3436730040841769,"score_spread":0.3279733828428251,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394200406","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6524206,0.0036732496,0.19793634,0.0030282352,0.0004493905,0.00005308503,0.00043361896,0.00020893807,0.14179659],"genre_scores_gemma":[0.964263,0.0013587668,0.017324567,0.00029876357,0.00040146976,0.00004849293,0.00018121046,0.000057552024,0.016066091],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996635,0.000060393373,0.000018550641,0.00007612046,0.000105029714,0.00007643675],"domain_scores_gemma":[0.9995751,0.000145558,0.00005839194,0.00004879778,0.00006553634,0.00010664465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010966167,0.0005077377,0.00068831316,0.0016935195,0.0011939359,0.0013633507,0.00047745227,0.0005634583,0.003105037],"category_scores_gemma":[0.0012581581,0.00023853828,0.0006967955,0.00071650307,0.0025060903,0.0029212614,0.0028282136,0.0015024121,0.00036282468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014268358,0.0000041408766,0.00019852216,0.000018150713,0.000006352079,0.000072696865,0.00014658557,0.00043638673,0.0006472444,0.99557793,0.00033934356,0.002538405],"study_design_scores_gemma":[0.000011412465,0.00002405542,0.00046396235,0.000009648498,0.000005653229,0.00015061576,0.000056222572,0.002749577,0.0005692864,0.9916426,0.0043102535,0.000006833177],"about_ca_topic_score_codex":0.000516753,"about_ca_topic_score_gemma":0.00032134616,"teacher_disagreement_score":0.003105037,"about_ca_system_score_codex":0.00059939356,"about_ca_system_score_gemma":0.0003932675,"threshold_uncertainty_score":0.010387421},"labels":[],"label_agreement":null},{"id":"W4394652774","doi":"10.48550/arxiv.2111.10771","title":"An introduction to relative Calabi-Yau structures","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Canadian Institute for Advanced Research","keywords":"Calabi–Yau manifold; Mathematics; Pure mathematics; Physics","score_opus":0.06986711537792627,"score_gpt":0.237980820973476,"score_spread":0.16811370559554972,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394652774","genre_codex":"other","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009807096,0.10082518,0.14473128,0.018603673,0.01688472,0.0001335931,0.0019066441,0.00083048106,0.7062774],"genre_scores_gemma":[0.3012161,0.11797705,0.13776411,0.013373218,0.029889781,0.000542182,0.003115833,0.0015573112,0.3945644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994649,0.0001196076,0.00004009453,0.0001473836,0.000175529,0.000052418643],"domain_scores_gemma":[0.9995833,0.00017917086,0.000030063975,0.000041903502,0.00009346909,0.000072177114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010272342,0.0009024063,0.0006251998,0.0023863192,0.0018066851,0.002698413,0.0008977696,0.0009597066,0.028609926],"category_scores_gemma":[0.0011939957,0.00056160666,0.000596739,0.002275693,0.0027337358,0.0053267987,0.0021124512,0.0043196236,0.008190989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010513229,0.000018762335,0.00010960837,0.00015736306,0.0000040444693,0.00006351648,0.0005709317,0.00014932419,0.00079955196,0.9397234,0.033361245,0.025031846],"study_design_scores_gemma":[0.0000033568406,0.000031891548,0.0005457034,0.00010165227,0.000004405235,0.0003332551,0.00013976509,0.00029906086,0.00025700266,0.29683194,0.70143664,0.000015378258],"about_ca_topic_score_codex":0.000970147,"about_ca_topic_score_gemma":0.0009767049,"teacher_disagreement_score":0.028609926,"about_ca_system_score_codex":0.001551044,"about_ca_system_score_gemma":0.00055061554,"threshold_uncertainty_score":0.09570974},"labels":[],"label_agreement":null},{"id":"W4394838481","doi":"10.2140/ant.2024.18.993","title":"Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect","year":2024,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cusp (singularity); Holomorphic function; Degree (music); Siegel modular form; Pure mathematics; Geometry; Modular form","score_opus":0.06957628322494355,"score_gpt":0.339914495463285,"score_spread":0.2703382122383414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394838481","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6508965,0.0011249189,0.28606728,0.00088660757,0.00018794082,0.00009505122,0.00015992859,0.00026663067,0.06031522],"genre_scores_gemma":[0.9644778,0.00059764105,0.023950187,0.00022725276,0.00014785236,0.000074930285,0.0001753419,0.0000923358,0.010256814],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905866,0.00014692996,0.00006105305,0.00023255094,0.00030746384,0.00019331381],"domain_scores_gemma":[0.9965299,0.0014581284,0.0004302613,0.00046376494,0.0006743523,0.0004436188],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018530074,0.00074087054,0.00081954076,0.0037458334,0.0018031459,0.0017881613,0.0015100612,0.00090254896,0.0048763524],"category_scores_gemma":[0.007998245,0.00042059165,0.0016103236,0.0010009626,0.0029221156,0.005110455,0.0037716026,0.0027730775,0.0005745142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006407078,0.000040401843,0.006198324,0.00011469705,0.0000361006,0.0005731047,0.0010130366,0.0020101655,0.0038906543,0.96821636,0.0009924399,0.01685076],"study_design_scores_gemma":[0.000030842624,0.00016534356,0.0060185823,0.00008452738,0.000076559474,0.0018307806,0.0007596332,0.04290156,0.008146766,0.9316441,0.0082795145,0.0000618228],"about_ca_topic_score_codex":0.00048636735,"about_ca_topic_score_gemma":0.0004076011,"teacher_disagreement_score":0.0048763524,"about_ca_system_score_codex":0.0016864849,"about_ca_system_score_gemma":0.0003933933,"threshold_uncertainty_score":0.016313016},"labels":[],"label_agreement":null},{"id":"W4396834828","doi":"10.1016/j.indag.2024.05.002","title":"The refined solution to the Capelli eigenvalue problem for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e390\" altimg=\"si22.svg\"> <mml:mrow> <mml:mi mathvariant=\"fraktur\">gl</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>m</mml:mi> <mml:mo>|</mml:mo> <mml:mi>n</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">⊕</mml:mo> <mml:mi mathvariant=\"fraktur\">gl</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>m</mml:mi> <mml:mo>|</mml:mo> <mml:mi>n</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e422\" altimg=\"si23.svg\"> <mml:mrow> <mml:mi mathvariant=\"fraktur\">gl</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>m</mml:mi> <mml:mo>|</mml:mo> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>","year":2024,"lang":"lv","type":"article","venue":"Indagationes Mathematicae","topic":"Advanced Algebra and Geometry","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":"Mathematics; Subalgebra; Lie superalgebra; Combinatorics; Eigenvalues and eigenvectors; Basis (linear algebra); Algebra over a field; Superalgebra; Pure mathematics; Affine Lie algebra; Geometry","score_opus":0.01841206164826109,"score_gpt":0.2540611858345552,"score_spread":0.23564912418629413,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396834828","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.040064227,0.000592073,0.7239839,0.00401438,0.0013334018,0.00020518144,0.0026541096,0.0016818766,0.22547084],"genre_scores_gemma":[0.37404123,0.0007146677,0.37047586,0.0010864586,0.00037135766,0.0005763651,0.0042541763,0.00315499,0.24532491],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961346,0.00007324515,0.000014028483,0.000077771525,0.00014214349,0.00007932479],"domain_scores_gemma":[0.9993887,0.00020701115,0.00004154145,0.00009851901,0.0001934317,0.00007064956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056579825,0.00090547843,0.0006174233,0.0007528986,0.00082195585,0.0016781898,0.0010577373,0.0014475674,0.056765895],"category_scores_gemma":[0.0031825637,0.0003593068,0.0007424689,0.0005857995,0.0009774268,0.0015510478,0.001710822,0.0017015743,0.011544124],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040233645,0.0001330971,0.0020249558,0.0006629947,0.00007012654,0.00086338056,0.0008925015,0.23181736,0.01513834,0.49166492,0.15612282,0.1002071],"study_design_scores_gemma":[0.00008646123,0.000069650014,0.0012708093,0.00012551824,0.000019874346,0.00023583068,0.00053107925,0.68264323,0.0055847103,0.21960106,0.08974855,0.00008319321],"about_ca_topic_score_codex":0.007395838,"about_ca_topic_score_gemma":0.008260598,"teacher_disagreement_score":0.056765895,"about_ca_system_score_codex":0.0009179635,"about_ca_system_score_gemma":0.0013845579,"threshold_uncertainty_score":0.18990088},"labels":[],"label_agreement":null},{"id":"W4396975575","doi":"10.1007/jhep05(2024)186","title":"Coloured combinatorial maps and quartic bi-tracial 2-matrix ensembles from noncommutative geometry","year":2024,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Advanced Algebra and Geometry","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":"Noncommutative geometry; Quartic function; Mathematics; Matrix (chemical analysis); Pure mathematics; Geometry; Chemistry","score_opus":0.013612863235954755,"score_gpt":0.2931096811031314,"score_spread":0.2794968178671767,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396975575","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.984946,0.00006295674,0.010963016,0.000083791914,0.000013049015,0.000010490428,0.000033495726,0.000063055646,0.0038242324],"genre_scores_gemma":[0.9968766,0.000028001676,0.0021943217,0.00001065253,0.000008211511,0.000007970726,0.00003625283,0.000013930775,0.0008239928],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984014,0.000042872078,0.000008014245,0.000019273219,0.000044588876,0.000045086137],"domain_scores_gemma":[0.99939275,0.00020362463,0.00011220945,0.00007346366,0.00007848281,0.00013945355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048791824,0.00047491904,0.00035940515,0.00087295583,0.00061274966,0.0013232587,0.0007963436,0.00067645696,0.0026365796],"category_scores_gemma":[0.00170537,0.0002434066,0.0003898043,0.0006451126,0.0012400836,0.0012808193,0.0006976374,0.00061090605,0.00019555756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012119959,0.000108807886,0.0047869906,0.000099779005,0.00003634088,0.00090181385,0.00043711087,0.28699356,0.014034974,0.6877511,0.00063531636,0.004093007],"study_design_scores_gemma":[0.0000193744,0.000040398787,0.0018858167,0.0000064891965,0.0000085054135,0.00014831929,0.00011285043,0.85627484,0.0032273813,0.13792175,0.00032561357,0.000028608778],"about_ca_topic_score_codex":0.0016344065,"about_ca_topic_score_gemma":0.0024230934,"teacher_disagreement_score":0.0026365796,"about_ca_system_score_codex":0.00073370116,"about_ca_system_score_gemma":0.00042608337,"threshold_uncertainty_score":0.008820236},"labels":[],"label_agreement":null},{"id":"W4398180254","doi":"10.1007/s10240-024-00149-7","title":"Hommage à Nicolas Bergeron","year":2024,"lang":"fr","type":"article","venue":"Publications mathématiques de l IHÉS","topic":"Advanced Algebra and Geometry","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":"","keywords":"Art","score_opus":0.03254588557410864,"score_gpt":0.3436564485515353,"score_spread":0.3111105629774267,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4398180254","genre_codex":"commentary","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0018933538,0.06019764,0.0031658367,0.8199342,0.050926004,0.000014329903,0.00017910032,0.0002626658,0.06342686],"genre_scores_gemma":[0.058899213,0.048151627,0.0041566812,0.33535582,0.032722503,0.000059295155,0.00015959419,0.0006642,0.5198311],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99725986,0.0009821802,0.00007240116,0.000611268,0.0008310458,0.00024322887],"domain_scores_gemma":[0.9945175,0.0020649103,0.00030808194,0.00023184362,0.0017797721,0.0010978482],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022372038,0.00070972246,0.0008184782,0.0011190925,0.0047938153,0.0047911387,0.0010085308,0.0035309687,0.032525208],"category_scores_gemma":[0.012405638,0.00033463954,0.00034942894,0.0008751049,0.004006876,0.005223898,0.0027506838,0.007702266,0.014142816],"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":[0.000053388092,0.000017740475,0.00039674266,0.000083951134,0.000010041336,0.00018645778,0.0011062971,0.000081350234,0.00020617137,0.053929914,0.9260185,0.017909486],"study_design_scores_gemma":[0.0000030208644,0.00000621572,0.0002539312,0.00009172727,0.0000030384604,0.0002595891,0.0006835571,0.00006333623,0.00012515268,0.009543524,0.98895043,0.000016475244],"about_ca_topic_score_codex":0.0140921995,"about_ca_topic_score_gemma":0.015482409,"teacher_disagreement_score":0.032525208,"about_ca_system_score_codex":0.0022990252,"about_ca_system_score_gemma":0.0028194687,"threshold_uncertainty_score":0.10880768},"labels":[],"label_agreement":null},{"id":"W4398252973","doi":"10.1112/jlms.12896","title":"Iwahori‐metaplectic duality","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Vetenskapsrådet; Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; National Science Foundation","keywords":"Mathematics; Lattice (music); Duality (order theory); Pure mathematics; Fock space; Algebra over a field; Physics; Quantum mechanics","score_opus":0.03587519991343051,"score_gpt":0.3402026365282133,"score_spread":0.3043274366147828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4398252973","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81793666,0.00027268217,0.10321525,0.0007048035,0.00013467525,0.000043393036,0.00011484525,0.00019088076,0.077386856],"genre_scores_gemma":[0.98676413,0.00007500406,0.0063588903,0.000097392,0.00003169264,0.00003728619,0.00006922732,0.000030113031,0.0065363334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969196,0.00006666601,0.000012004306,0.000037624613,0.0001046868,0.00008715476],"domain_scores_gemma":[0.9997869,0.00003345348,0.000035882545,0.000062285595,0.00003246479,0.000049086426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040576464,0.00033348473,0.00044180598,0.0008113574,0.0008667603,0.0015064477,0.0007205887,0.0006625121,0.0038547025],"category_scores_gemma":[0.00068165816,0.00017870955,0.00063669804,0.00044533794,0.0015054933,0.0017141894,0.00082348974,0.0010376074,0.00050351914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017934644,0.00002106411,0.00021196838,0.000014650694,0.000004253653,0.00009573389,0.00013019325,0.0017287936,0.0035363776,0.9921504,0.00034531121,0.0017434364],"study_design_scores_gemma":[0.00002581676,0.000060494134,0.0005962187,0.000017819588,0.000007824943,0.0005575389,0.0003138575,0.054502282,0.0050651627,0.93567115,0.0031583598,0.000023504366],"about_ca_topic_score_codex":0.0007014711,"about_ca_topic_score_gemma":0.0006393773,"teacher_disagreement_score":0.0038547025,"about_ca_system_score_codex":0.0007066739,"about_ca_system_score_gemma":0.0005174512,"threshold_uncertainty_score":0.0128952265},"labels":[],"label_agreement":null},{"id":"W4398407157","doi":"10.7910/dvn/mv25mz/77sckm","title":"f_variety_mechanisms.do","year":2019,"lang":"en","type":"dataset","venue":"Harvard Dataverse","topic":"Advanced Algebra and Geometry","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":"Replication (statistics); Variety (cybernetics); Mathematics; Statistics","score_opus":0.03819668060549222,"score_gpt":0.30189363972368344,"score_spread":0.26369695911819124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4398407157","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00012220565,0.00014752882,0.00008179429,0.000084276995,0.000025368285,0.00000679372,0.99741745,0.0010233002,0.0010912715],"genre_scores_gemma":[0.00081766665,0.00015363809,0.00028545258,0.00009380062,0.000011799207,0.00005262907,0.99762887,0.00023662619,0.0007195535],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9985123,0.00021071175,0.00012868275,0.00050765293,0.00031694994,0.00032367933],"domain_scores_gemma":[0.997122,0.0007879691,0.0002904452,0.0010712015,0.0004038594,0.00032452063],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010780996,0.0040043266,0.002243108,0.0069369203,0.0013955011,0.005258694,0.0051557086,0.004204665,0.16698697],"category_scores_gemma":[0.007567365,0.0010598176,0.0020967766,0.009252172,0.00091782137,0.0033291627,0.00398702,0.0023057165,0.18451418],"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":[0.00007583195,0.000020597901,0.0008251782,0.0010190402,0.000037065125,0.000022099885,0.000030123561,0.00031922394,0.00008484025,0.001612093,0.99343383,0.0025200609],"study_design_scores_gemma":[0.00026040224,0.000016337748,0.00169462,0.00041415016,0.000027075364,0.00005186924,0.00006035811,0.00047518362,0.0002912937,0.0031909076,0.9934882,0.000029560206],"about_ca_topic_score_codex":0.021312943,"about_ca_topic_score_gemma":0.027770938,"teacher_disagreement_score":0.83301306,"about_ca_system_score_codex":0.0022562023,"about_ca_system_score_gemma":0.0025145845,"threshold_uncertainty_score":0.55862707},"labels":[],"label_agreement":null},{"id":"W4399321733","doi":"10.3390/axioms13060381","title":"A Selberg Trace Formula for GL3(Fp)∖GL3(Fq)/K","year":2024,"lang":"en","type":"article","venue":"Axioms","topic":"Advanced Algebra and Geometry","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 Toronto; Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Selberg trace formula; Mathematics; TRACE (psycholinguistics); Chemistry; Pure mathematics; Riemann hypothesis","score_opus":0.04610737477557849,"score_gpt":0.3758021036710743,"score_spread":0.32969472889549584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399321733","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7245777,0.00051129493,0.13961159,0.002508782,0.0005521264,0.000083508916,0.0003369711,0.00042019764,0.13139772],"genre_scores_gemma":[0.9732064,0.00021755784,0.014095013,0.0004035667,0.00019483113,0.000030178986,0.00017015007,0.00014150131,0.011540897],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993412,0.00006290982,0.000035023375,0.000112654416,0.00026655194,0.00018174523],"domain_scores_gemma":[0.99940467,0.00015038335,0.000081090686,0.00007461731,0.00016175483,0.00012737067],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006255195,0.0004499571,0.00050692214,0.0009826748,0.00135519,0.0021628796,0.0008130039,0.00074388506,0.006857186],"category_scores_gemma":[0.0017178996,0.00017413126,0.00076088513,0.0006265978,0.003455482,0.0039839325,0.0017093689,0.0020910944,0.00083284976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021637012,0.00001912244,0.00026458962,0.000024015744,0.0000035635978,0.00019689088,0.00025889731,0.00036685722,0.0012702886,0.99315417,0.0005221985,0.0038976832],"study_design_scores_gemma":[0.000019422469,0.000028226123,0.00032467736,0.000013198205,0.0000048983834,0.00022665074,0.00015369487,0.0037865115,0.0017365972,0.9906136,0.0030765908,0.000016009033],"about_ca_topic_score_codex":0.00259043,"about_ca_topic_score_gemma":0.0014829795,"teacher_disagreement_score":0.006857186,"about_ca_system_score_codex":0.0014484837,"about_ca_system_score_gemma":0.00078980427,"threshold_uncertainty_score":0.022939563},"labels":[],"label_agreement":null},{"id":"W4399803897","doi":"10.4204/eptcs.403.31","title":"LLT Polynomials and Hecke Algebra Traces","year":2024,"lang":"en","type":"article","venue":"Electronic Proceedings in Theoretical Computer Science","topic":"Advanced Algebra and Geometry","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":"National Science Foundation","keywords":"Hecke algebra; TRACE (psycholinguistics); Mathematics; Basis (linear algebra); Pure mathematics; Algebra over a field; Macdonald polynomials; Hecke operator; Discrete orthogonal polynomials; Orthogonal polynomials; Linguistics; Philosophy; Modular form","score_opus":0.00911369497939203,"score_gpt":0.2914685498078059,"score_spread":0.2823548548284139,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399803897","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62759286,0.00055552105,0.23912488,0.0010788887,0.00028172793,0.000069859154,0.00027103335,0.00092691137,0.13009822],"genre_scores_gemma":[0.9717444,0.0002757423,0.010557685,0.00008365638,0.00011527187,0.000021690881,0.000079894024,0.00010833707,0.017013283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995459,0.000062209976,0.000017424416,0.00006508487,0.00015177531,0.00015762747],"domain_scores_gemma":[0.99935776,0.000119837154,0.00012314426,0.00012825239,0.00015493475,0.00011593435],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042092317,0.00040409915,0.00040701884,0.0013814983,0.0012601069,0.0019806705,0.0007109295,0.00045355156,0.0076410747],"category_scores_gemma":[0.0022701912,0.00017916475,0.00044690244,0.0013337922,0.0025719455,0.0035626732,0.0021248094,0.0016676307,0.0017656569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023327048,0.000013602369,0.00039208724,0.000028115259,0.0000022538404,0.00017962791,0.0003059837,0.0009955227,0.0022475356,0.98850656,0.00046272538,0.006842771],"study_design_scores_gemma":[0.000011707234,0.00005489256,0.00068116636,0.000029294573,0.000009573728,0.00057364936,0.0003795773,0.011943322,0.00799483,0.9719623,0.006328455,0.000031173386],"about_ca_topic_score_codex":0.0009682564,"about_ca_topic_score_gemma":0.00089022034,"teacher_disagreement_score":0.0076410747,"about_ca_system_score_codex":0.000806185,"about_ca_system_score_gemma":0.0005863844,"threshold_uncertainty_score":0.025561929},"labels":[],"label_agreement":null},{"id":"W4399837872","doi":"10.48550/arxiv.2406.12734","title":"Unstable cohomology of $\\mathsf{GL}_{2n}(\\mathbb{Z})$ and the odd commutative graph complex","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Université de Genève; Trinity College Dublin","keywords":"Commutative property; Cohomology; Mathematics; Graph; Pure mathematics; Combinatorics","score_opus":0.12178776882914952,"score_gpt":0.2423353663627773,"score_spread":0.12054759753362779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399837872","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94600314,0.0001486748,0.025397886,0.00044978675,0.00007304952,0.000013904341,0.00005269549,0.00006984761,0.027791014],"genre_scores_gemma":[0.99162453,0.000082250815,0.0024271454,0.000045402252,0.000044809793,0.000012895452,0.0000438776,0.00003500166,0.0056840596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979883,0.000030342742,0.000006071825,0.00004279878,0.000052586798,0.00006945967],"domain_scores_gemma":[0.99972266,0.00005338065,0.000053894575,0.00002300219,0.000032235184,0.000114900555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027909916,0.0006435028,0.00034483627,0.0013555611,0.0011112394,0.0014327304,0.0006552188,0.00041893424,0.0039509838],"category_scores_gemma":[0.00063522515,0.00016144602,0.00033278696,0.00047799648,0.0021039206,0.0020469977,0.0010322817,0.00067550864,0.00033997415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029367462,0.000020444937,0.0007892889,0.000019634588,0.0000038177873,0.0002256132,0.00041419384,0.001457152,0.0035837782,0.9902064,0.00040251523,0.0028477933],"study_design_scores_gemma":[0.000025623083,0.000060286107,0.0020683904,0.00001966712,0.000010701111,0.00046332434,0.00047473106,0.051963124,0.005280812,0.93448687,0.0051149814,0.0000314962],"about_ca_topic_score_codex":0.0018783128,"about_ca_topic_score_gemma":0.001592653,"teacher_disagreement_score":0.0039509838,"about_ca_system_score_codex":0.0012487556,"about_ca_system_score_gemma":0.0004423123,"threshold_uncertainty_score":0.01321733},"labels":[],"label_agreement":null},{"id":"W4400020081","doi":"10.1016/j.aim.2024.109795","title":"On the codimension-two cohomology of SLn(Z)","year":2024,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"H2020 European Research Council; Danmarks Grundforskningsfond; Deutsche Forschungsgemeinschaft; Natural Sciences and Engineering Research Council of Canada; McMaster University; Engineering Research Centers; National Sleep Foundation; Simons Foundation; European Research Council; Vetenskapsrådet; National Science Foundation","keywords":"Mathematics; Codimension; Scalable Vector Graphics; Computer science; Pure mathematics; World Wide Web","score_opus":0.02053204146729464,"score_gpt":0.3355984939256764,"score_spread":0.3150664524583818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400020081","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76449835,0.0034482798,0.030694565,0.0048818165,0.0011944481,0.000050957846,0.00040083687,0.00025804742,0.1945728],"genre_scores_gemma":[0.9681248,0.0013402731,0.0033907727,0.00038255285,0.00081909524,0.000026573836,0.000252771,0.00007409,0.02558905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956244,0.00009258476,0.000018818831,0.00008087495,0.00011464847,0.00013068393],"domain_scores_gemma":[0.9991278,0.0002676409,0.0001541227,0.00006618507,0.00012795988,0.00025637692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076955877,0.0014317654,0.00095862884,0.0038729417,0.0019993524,0.002604529,0.0014055785,0.0009810883,0.009060164],"category_scores_gemma":[0.0015283201,0.00034053664,0.00050275226,0.0018080411,0.0044729705,0.0052821254,0.0030877055,0.0021813947,0.00090096204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010949892,0.000054632706,0.0007217552,0.00009467561,0.000012874588,0.00027299504,0.00080230786,0.0008806239,0.001993458,0.9838045,0.001912262,0.00934034],"study_design_scores_gemma":[0.000017666967,0.000026929558,0.0010525014,0.000027192014,0.000007767785,0.00016488663,0.00017471827,0.0035003875,0.00041208396,0.99224865,0.002344909,0.000022252967],"about_ca_topic_score_codex":0.0025007902,"about_ca_topic_score_gemma":0.0021345639,"teacher_disagreement_score":0.009060164,"about_ca_system_score_codex":0.0018052369,"about_ca_system_score_gemma":0.00069785083,"threshold_uncertainty_score":0.03030932},"labels":[],"label_agreement":null},{"id":"W4400054768","doi":"10.1112/jlms.12952","title":"Sarnak's conjecture in quantum computing, cyclotomic unitary group coranks, and Shimura curves","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Unitary state; Conjecture; Mathematics; Group (periodic table); Pure mathematics; Physics; Quantum mechanics; Political science","score_opus":0.017517184182593248,"score_gpt":0.2997567031413182,"score_spread":0.28223951895872496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400054768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91788614,0.00058493775,0.03237266,0.0069893575,0.00012921744,0.000028378836,0.00018282059,0.00023538004,0.04159114],"genre_scores_gemma":[0.9949334,0.0001712723,0.0023751236,0.00017507226,0.000084076804,0.00001921745,0.00006874581,0.000030642168,0.0021424093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989808,0.00017849971,0.00005812311,0.00025000714,0.00024104622,0.00029154218],"domain_scores_gemma":[0.98912746,0.006287255,0.0008659221,0.0019921814,0.00082623167,0.00090094307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002214836,0.00046394052,0.0012184051,0.001723129,0.002717998,0.0032010803,0.0010752717,0.0019975093,0.0074361153],"category_scores_gemma":[0.010991618,0.00036213011,0.00084400445,0.0016663119,0.005545868,0.01067378,0.0031247595,0.0023957358,0.00041605538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011951868,0.00003819296,0.0020836538,0.000045112738,0.0000070136048,0.00014635442,0.00049449294,0.0072968462,0.000856231,0.9836067,0.0014125617,0.003893292],"study_design_scores_gemma":[0.000020198077,0.000027002558,0.00097427965,0.00002370449,0.000008037711,0.00008251073,0.00033432452,0.021985175,0.0011358792,0.97365427,0.0017356342,0.00001896569],"about_ca_topic_score_codex":0.0029334747,"about_ca_topic_score_gemma":0.0023511704,"teacher_disagreement_score":0.0074361153,"about_ca_system_score_codex":0.0021694656,"about_ca_system_score_gemma":0.0008570465,"threshold_uncertainty_score":0.024876297},"labels":[],"label_agreement":null},{"id":"W4400380182","doi":"10.2140/pjm.2024.329.259","title":"The local character expansion as branchingrules : nilpotent cones and the case of SL(2)","year":2024,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Sorbonne Université; Natural Sciences and Engineering Research Council of Canada; Université Paris-Saclay; Université de Paris; Rheinische Friedrich-Wilhelms-Universität Bonn; American Institute of Mathematics","keywords":"Mathematics; Nilpotent; Character (mathematics); Branching (polymer chemistry); Pure mathematics; Geometry; Chemistry","score_opus":0.015013535194461487,"score_gpt":0.29049948915485996,"score_spread":0.2754859539603985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400380182","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9214177,0.00020621628,0.039563086,0.00023231424,0.000025822712,0.000017000322,0.00004188523,0.00006047462,0.038435448],"genre_scores_gemma":[0.99324197,0.000061108105,0.0028212294,0.000023170365,0.000014666029,0.0000069017397,0.000024440269,0.000009147358,0.0037973349],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99987566,0.000017400931,0.0000033510464,0.000020832744,0.000041178242,0.00004166889],"domain_scores_gemma":[0.9998228,0.00004457008,0.000034259898,0.000015877378,0.000022812283,0.000059804534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017319749,0.00022240978,0.0001831134,0.0005925682,0.0006729949,0.001237163,0.00033477164,0.00027273645,0.0020182251],"category_scores_gemma":[0.00055305165,0.00008936953,0.00023665308,0.00033052688,0.0012798919,0.0013095358,0.00086691603,0.0007457017,0.00021340049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043756634,0.000029033788,0.0011806356,0.000020417556,0.000004449279,0.0005911316,0.00077671965,0.002463659,0.010820895,0.9768787,0.00031774375,0.006872976],"study_design_scores_gemma":[0.00002012956,0.00007427287,0.0019199265,0.000020825526,0.000010293193,0.00091423787,0.00067779503,0.03562607,0.0068500033,0.9490194,0.0048423936,0.000024607833],"about_ca_topic_score_codex":0.00064594037,"about_ca_topic_score_gemma":0.0006665991,"teacher_disagreement_score":0.0020182251,"about_ca_system_score_codex":0.00041185672,"about_ca_system_score_gemma":0.0001513252,"threshold_uncertainty_score":0.006751597},"labels":[],"label_agreement":null},{"id":"W4400581791","doi":"10.1142/s1793042125500101","title":"Generalized <i>L</i>-functions related to the Riemann zeta function","year":2024,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","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 Calgary","funders":"Research Grants Council, University Grants Committee; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Riemann zeta function; Riemann hypothesis; Arithmetic zeta function; Particular values of Riemann zeta function; Riemann Xi function; Pure mathematics; Prime zeta function","score_opus":0.017451324785263636,"score_gpt":0.33338174480699473,"score_spread":0.3159304200217311,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400581791","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8373146,0.000651501,0.12786318,0.0006106468,0.0002966214,0.0000621002,0.000066472116,0.00039812544,0.032736614],"genre_scores_gemma":[0.9718274,0.000342502,0.01950451,0.00019684466,0.00018083406,0.000047165737,0.00007403107,0.00012999275,0.0076966924],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997874,0.000062876956,0.000008620853,0.00003915477,0.00004489429,0.00005713776],"domain_scores_gemma":[0.999368,0.00010096149,0.00013921715,0.000104586725,0.000103104,0.00018412521],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000584777,0.0012010913,0.00063133036,0.001776001,0.0009819247,0.0022270405,0.0009960334,0.0009921791,0.0032373937],"category_scores_gemma":[0.001504983,0.0002674948,0.0007117901,0.00074334187,0.0031100963,0.0026540956,0.0016214286,0.0015786364,0.0008082484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012024733,0.000054673077,0.0017136314,0.00016279334,0.000019106186,0.00064394367,0.0004428498,0.006161771,0.018389255,0.9579187,0.00087025296,0.013502789],"study_design_scores_gemma":[0.00005418209,0.00014074473,0.0020399685,0.00009237098,0.000031437296,0.0012152502,0.00042361763,0.07477571,0.014380976,0.9003233,0.0064268224,0.000095691306],"about_ca_topic_score_codex":0.00023653128,"about_ca_topic_score_gemma":0.00025598178,"teacher_disagreement_score":0.0032373937,"about_ca_system_score_codex":0.0008861746,"about_ca_system_score_gemma":0.00039857064,"threshold_uncertainty_score":0.010830164},"labels":[],"label_agreement":null},{"id":"W4400644910","doi":"10.1134/s0001434624050328","title":"On $$\\mathfrak{L}_{\\infty}$$-Liftings of the Gelfand–Naimark Morphism","year":2024,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Advanced Algebra and Geometry","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":"Strathcona Community Hospital","funders":"","keywords":"Morphism; Mathematics; Combinatorics; Pure mathematics; Physics; Algebra over a field","score_opus":0.03012123474911964,"score_gpt":0.31632802931259174,"score_spread":0.2862067945634721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400644910","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58151776,0.0012146876,0.191765,0.0028081017,0.00089164893,0.00013740762,0.00051455945,0.0005070382,0.22064377],"genre_scores_gemma":[0.89486265,0.0010745198,0.04159667,0.00077073654,0.00058088073,0.00018092655,0.0005119515,0.00041524126,0.06000645],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988996,0.0001562292,0.0000387715,0.00024512826,0.0003006699,0.00035951065],"domain_scores_gemma":[0.99904245,0.00016956254,0.00016238897,0.00010866821,0.00016611854,0.00035069598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011532843,0.00097479025,0.00064350007,0.0023206328,0.0025666726,0.0025994107,0.0009203084,0.0010986358,0.009282127],"category_scores_gemma":[0.0020535383,0.0005683965,0.001416985,0.00072456716,0.003951725,0.0053119785,0.004111249,0.0033620829,0.0022813983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024267036,0.000020999307,0.00020447964,0.000022762099,0.0000059666963,0.00016275603,0.00034968383,0.00021054965,0.0011574754,0.9939917,0.0005286644,0.003320704],"study_design_scores_gemma":[0.000022659578,0.000040609284,0.0010644799,0.00004094715,0.000009832697,0.00032355142,0.00031413915,0.0026111205,0.0016474649,0.9854446,0.008445319,0.00003526867],"about_ca_topic_score_codex":0.0020485637,"about_ca_topic_score_gemma":0.0012856416,"teacher_disagreement_score":0.009282127,"about_ca_system_score_codex":0.0017829923,"about_ca_system_score_gemma":0.0008937995,"threshold_uncertainty_score":0.031051874},"labels":[],"label_agreement":null},{"id":"W4400724764","doi":"10.1016/j.aim.2024.109845","title":"Dihedral long root A-packets of p-adic G2 via theta correspondence","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"McGill University; University of Calgary","funders":"","keywords":"Mathematics; Dihedral angle; Dihedral group; Zero (linguistics); Pure mathematics; Root (linguistics); Field (mathematics); Network packet; Group (periodic table); Chemistry","score_opus":0.019545016322344098,"score_gpt":0.347050643870621,"score_spread":0.3275056275482769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400724764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9301982,0.00011503733,0.03853136,0.00026535848,0.00012027718,0.000056582627,0.000100372374,0.00027136126,0.0303415],"genre_scores_gemma":[0.98206437,0.00008869807,0.005275197,0.00006893926,0.00006172096,0.000033591812,0.0000871632,0.00007721148,0.012243167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971944,0.00005289102,0.000010081892,0.000052133226,0.00008215721,0.00008331089],"domain_scores_gemma":[0.99967766,0.00004938079,0.00005587008,0.0000418432,0.000030968324,0.00014430349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003683499,0.00085812964,0.00043113905,0.0015020982,0.000822576,0.002230699,0.0006023995,0.00066349213,0.0049404292],"category_scores_gemma":[0.0006491545,0.00028422973,0.0005195314,0.00060551014,0.0016713771,0.00215925,0.0022032368,0.0013436434,0.0009467775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019112445,0.00008706564,0.0013497631,0.000044480992,0.000018019622,0.0008136756,0.0007784328,0.002093996,0.010707251,0.9759152,0.00089235464,0.0071086152],"study_design_scores_gemma":[0.00025559895,0.0006972971,0.0040558563,0.000055078555,0.00005262584,0.0018024524,0.0018183277,0.03102992,0.016359698,0.92655027,0.017242707,0.00008015809],"about_ca_topic_score_codex":0.00034442308,"about_ca_topic_score_gemma":0.00024483178,"teacher_disagreement_score":0.0049404292,"about_ca_system_score_codex":0.00068489584,"about_ca_system_score_gemma":0.00026268375,"threshold_uncertainty_score":0.016527355},"labels":[],"label_agreement":null},{"id":"W4401363204","doi":"10.5802/xups.2000-01","title":"Un peu d’histoire des groupes finis et quelques exemples simples","year":2024,"lang":"fr","type":"article","venue":"Journées mathématiques X-UPS","topic":"Advanced Algebra and Geometry","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":"Polytechnique Montréal","funders":"","keywords":"Mathematics; Humanities; Philosophy","score_opus":0.031033030792768347,"score_gpt":0.32520178858497817,"score_spread":0.2941687577922098,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401363204","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14767444,0.01026004,0.1478024,0.01929675,0.0028676384,0.000096692296,0.000696486,0.0006758961,0.6706297],"genre_scores_gemma":[0.75496346,0.007030294,0.045600243,0.0017188459,0.0027740104,0.00019771505,0.000539628,0.0004348842,0.18674089],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9987109,0.00054997543,0.000042940082,0.0002082566,0.00032648703,0.00016149199],"domain_scores_gemma":[0.9987978,0.0005367294,0.000107790285,0.00024054143,0.00022819008,0.0000889641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013367962,0.0013366797,0.00086155516,0.0025154133,0.005232479,0.0044960934,0.0011882654,0.0030480798,0.013458187],"category_scores_gemma":[0.0040444513,0.00061536836,0.0014072332,0.0024883328,0.011694403,0.006657194,0.001844272,0.005833262,0.0033476432],"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":[0.000020126576,0.000007826059,0.00015843388,0.00004971134,0.000012090504,0.00019494559,0.0015840873,0.00039569093,0.00050570496,0.9921853,0.0022762604,0.0026099992],"study_design_scores_gemma":[0.000041697123,0.000033150387,0.001452979,0.00006463661,0.000026611317,0.00087701296,0.002117045,0.0015796243,0.0007367249,0.7742338,0.2187974,0.00003930231],"about_ca_topic_score_codex":0.014934118,"about_ca_topic_score_gemma":0.011639586,"teacher_disagreement_score":0.014934118,"about_ca_system_score_codex":0.0029225284,"about_ca_system_score_gemma":0.0005762428,"threshold_uncertainty_score":0.04502213},"labels":[],"label_agreement":null},{"id":"W4402118363","doi":"10.1093/imrn/rnae179","title":"Zero-Dimensional Shimura Varieties and Central Derivatives of Eisenstein Series","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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; Eisenstein series; Zero (linguistics); Shimura variety; Pure mathematics; Fourier series; Torus; Series (stratigraphy); Algebra over a field; Point (geometry); Modular form; Mathematical analysis; Geometry","score_opus":0.10327281249822999,"score_gpt":0.4232312257823794,"score_spread":0.3199584132841494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402118363","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9076517,0.0005075584,0.05873579,0.00046507493,0.00017427033,0.000015524043,0.000051703606,0.00013432834,0.03226394],"genre_scores_gemma":[0.99421036,0.0001279819,0.0029694429,0.000040797982,0.00006746179,0.0000061132314,0.00002121804,0.0000134828915,0.0025431667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997433,0.000045771485,0.000010690625,0.00005144249,0.000082191145,0.000066571214],"domain_scores_gemma":[0.99957985,0.00009735596,0.00007796116,0.00006415247,0.00006968096,0.00011101659],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006355624,0.0004896641,0.0006970612,0.0017188945,0.00097478705,0.0017562163,0.00057165505,0.0005630551,0.002866935],"category_scores_gemma":[0.0017704826,0.0002158179,0.00048388296,0.00073152327,0.003948723,0.0021261566,0.0013530067,0.0011787096,0.00033028465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018506937,0.000012502862,0.0006024567,0.000018611843,0.0000050135777,0.00012083898,0.00015036804,0.0012920395,0.0015686045,0.9936505,0.00028716464,0.002273316],"study_design_scores_gemma":[0.0000152886,0.000040207215,0.0017296538,0.00003287541,0.000011938793,0.0003419387,0.00021955189,0.014047476,0.0022093914,0.97893685,0.0023915807,0.000023219985],"about_ca_topic_score_codex":0.000441029,"about_ca_topic_score_gemma":0.00047235235,"teacher_disagreement_score":0.002866935,"about_ca_system_score_codex":0.0008786659,"about_ca_system_score_gemma":0.00036305544,"threshold_uncertainty_score":0.009590805},"labels":[],"label_agreement":null},{"id":"W4402506242","doi":"10.1007/s12220-024-01782-8","title":"Determinants of Pseudo-laplacians and $$\\zeta ^{(\\textrm{reg})}(1)$$ for Spinor Bundles Over Riemann Surfaces","year":2024,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Advanced Algebra and Geometry","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":"Concordia University","funders":"","keywords":"Differential geometry; Mathematics; Riemann hypothesis; Fourier analysis; Spinor; Pure mathematics; Riemann surface; Mathematical analysis; Riemann zeta function; Mathematical physics; Fourier transform","score_opus":0.02676542323278958,"score_gpt":0.3427142210401297,"score_spread":0.31594879780734014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402506242","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8492479,0.0010238672,0.057231665,0.0050858906,0.001054132,0.00008502923,0.0003287732,0.0006827529,0.08526013],"genre_scores_gemma":[0.96902186,0.00044783225,0.0047572195,0.0005700818,0.00085299974,0.00006516614,0.00024572902,0.0003995955,0.02363966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985067,0.0004140443,0.0000808852,0.00021048603,0.0004529147,0.0003348192],"domain_scores_gemma":[0.9954091,0.0016370172,0.0006709652,0.00030020042,0.00059632276,0.0013864615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024391424,0.0015887695,0.0013990526,0.006337477,0.0028464657,0.005848372,0.0029882381,0.0027476128,0.0156486],"category_scores_gemma":[0.0071060206,0.0011188805,0.0012392269,0.001859409,0.0050623203,0.0057023508,0.0036932759,0.0028119148,0.0018772252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038685583,0.000066231,0.0003881811,0.000022328024,0.0000068414474,0.00010945668,0.000195555,0.0006588828,0.0007838577,0.99485224,0.0010575874,0.001820197],"study_design_scores_gemma":[0.00002598422,0.000018665609,0.00084097596,0.00002313444,0.000010065769,0.00019793758,0.00013316024,0.017253412,0.00054920063,0.97996134,0.00093909947,0.00004714702],"about_ca_topic_score_codex":0.0019970958,"about_ca_topic_score_gemma":0.0031384318,"teacher_disagreement_score":0.0156486,"about_ca_system_score_codex":0.00229105,"about_ca_system_score_gemma":0.0017272736,"threshold_uncertainty_score":0.052349806},"labels":[],"label_agreement":null},{"id":"W4402953952","doi":"10.48550/arxiv.2409.00709","title":"The skew immaculate Hecke poset and 0-Hecke modules","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Skew; Partially ordered set; Mathematics; Pure mathematics; Computer science; Combinatorics","score_opus":0.08155301521392948,"score_gpt":0.22704472099549058,"score_spread":0.14549170578156112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402953952","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3706463,0.0011676006,0.4436616,0.0010712232,0.00033574566,0.00016066396,0.00075904944,0.00036001691,0.18183777],"genre_scores_gemma":[0.9097417,0.000970452,0.05443509,0.00037474875,0.00051118794,0.00010214316,0.0005859899,0.00015471624,0.03312398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992118,0.0001867585,0.000042927462,0.0001804214,0.00024229455,0.0001358526],"domain_scores_gemma":[0.9989236,0.00027941642,0.0002263122,0.00018861833,0.00017791065,0.00020422354],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095824845,0.0006390939,0.00037949343,0.0012420458,0.0012275781,0.0022045497,0.00069351884,0.0004827266,0.010888679],"category_scores_gemma":[0.0018253756,0.00038008214,0.0008391508,0.0010261353,0.0033805254,0.005722574,0.0021197996,0.0014566836,0.0013694598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010341544,0.000010136802,0.0002302413,0.000013567244,0.000002474672,0.00006306849,0.00014965936,0.00050609553,0.00072449923,0.9945127,0.00031288667,0.0034643225],"study_design_scores_gemma":[0.00000472157,0.00001971009,0.00035857948,0.000009023955,0.000004228321,0.00020878937,0.000095669166,0.002169194,0.0020300183,0.9892846,0.0057987557,0.000016722537],"about_ca_topic_score_codex":0.00036006173,"about_ca_topic_score_gemma":0.00039361703,"teacher_disagreement_score":0.010888679,"about_ca_system_score_codex":0.00052893796,"about_ca_system_score_gemma":0.00067779375,"threshold_uncertainty_score":0.036426187},"labels":[],"label_agreement":null},{"id":"W4403136430","doi":"10.1017/s0004972724000753","title":"A MORDELL–LANG-TYPE PROBLEM FOR $\\mathrm{GL}_{m}$","year":2024,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","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 Waterloo","funders":"","keywords":"Mathematics; Type (biology); Pure mathematics; Combinatorics","score_opus":0.04904833116332227,"score_gpt":0.33222421217356196,"score_spread":0.2831758810102397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403136430","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8593336,0.00049479626,0.07222099,0.0066564046,0.00043414484,0.000030094609,0.00018247274,0.0003066145,0.06034097],"genre_scores_gemma":[0.9885563,0.00008650789,0.0047089085,0.000482702,0.00023620065,0.00001871785,0.00009277658,0.000031740696,0.0057861963],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991448,0.00026046095,0.000033516913,0.00015282138,0.00019047462,0.00021795681],"domain_scores_gemma":[0.99746406,0.0013422746,0.00029340838,0.0003213659,0.00026043155,0.0003184016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015623203,0.00031313425,0.0008608839,0.0007085007,0.0022389786,0.002518816,0.0010077399,0.0016140053,0.007616591],"category_scores_gemma":[0.0036612654,0.00033484123,0.0007077391,0.00047725116,0.004531115,0.0057374504,0.002375113,0.0019935037,0.0010121574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008018211,0.000040475898,0.0006021234,0.000043881777,0.0000065374647,0.00019929359,0.0002719478,0.00068397407,0.0007756841,0.9932494,0.0017205186,0.0023260815],"study_design_scores_gemma":[0.00002960023,0.000025092226,0.00032662344,0.00001146057,0.0000040394,0.00016740432,0.00019382162,0.005236152,0.000950392,0.990936,0.002105832,0.000013672037],"about_ca_topic_score_codex":0.00066080695,"about_ca_topic_score_gemma":0.0006519753,"teacher_disagreement_score":0.007616591,"about_ca_system_score_codex":0.0011127542,"about_ca_system_score_gemma":0.00068174425,"threshold_uncertainty_score":0.025479972},"labels":[],"label_agreement":null},{"id":"W4403344559","doi":"10.48550/arxiv.2410.06082","title":"Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Phenomenon; Dirichlet distribution; Mathematics; Physics; Mathematical analysis","score_opus":0.13958537077311736,"score_gpt":0.23988673028836735,"score_spread":0.10030135951524999,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403344559","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66259456,0.0012133301,0.17402174,0.0029476823,0.00029185173,0.00006871945,0.00019642005,0.000480547,0.1581852],"genre_scores_gemma":[0.97355837,0.00043261514,0.011797454,0.0002528724,0.00014770597,0.0000682498,0.00010347218,0.00010295089,0.013536209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995221,0.00010202121,0.00002443214,0.00008634341,0.00013805614,0.00012704145],"domain_scores_gemma":[0.99864763,0.00057763996,0.0001739194,0.00015185165,0.00018707967,0.00026192862],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012681022,0.0011318248,0.0007873223,0.0019433404,0.0018159306,0.0020843938,0.0011343207,0.0014167203,0.0058054924],"category_scores_gemma":[0.0036315513,0.00036675105,0.00082807086,0.0005181,0.0028584416,0.0034001605,0.0030991638,0.0026086199,0.0007798136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006923902,0.000021910857,0.00093136285,0.00009249173,0.0000073962224,0.00026064055,0.00030803948,0.0012107373,0.0105158035,0.98203665,0.0010889925,0.0034568228],"study_design_scores_gemma":[0.000058377893,0.00009892954,0.002161933,0.000077229575,0.00002682676,0.0011648765,0.0003084914,0.040259894,0.013151284,0.9371359,0.0054816334,0.00007457488],"about_ca_topic_score_codex":0.00044234097,"about_ca_topic_score_gemma":0.00037186852,"teacher_disagreement_score":0.0058054924,"about_ca_system_score_codex":0.0009888004,"about_ca_system_score_gemma":0.00038446614,"threshold_uncertainty_score":0.01942128},"labels":[],"label_agreement":null},{"id":"W4403407079","doi":"","title":"Differential algebras of quasi-Jacobi forms of index zero","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Agence Nationale de la Recherche; Institute of Science and Technology Austria","keywords":"Zero (linguistics); Mathematics; Index (typography); Differential (mechanical device); Pure mathematics; Mathematical analysis; Physics; Computer science; Philosophy","score_opus":0.06414451543168374,"score_gpt":0.22862622897129684,"score_spread":0.1644817135396131,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403407079","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6515165,0.0033041309,0.093638405,0.0043392405,0.0010728104,0.000088770474,0.00067437347,0.0002780467,0.24508773],"genre_scores_gemma":[0.92144734,0.0011652061,0.01012186,0.00041269424,0.00071387395,0.0000644331,0.0002835308,0.00008241104,0.06570861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993395,0.00011791198,0.00004427839,0.000119511875,0.00024209247,0.0001365953],"domain_scores_gemma":[0.9985954,0.00028990564,0.00024001223,0.00011424769,0.0003739463,0.00038655504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010518474,0.00043980376,0.0005137349,0.0020595735,0.0016563872,0.00358955,0.0007259477,0.00071546965,0.007023967],"category_scores_gemma":[0.0022552009,0.00034722878,0.00047797026,0.0012612195,0.00256052,0.00563148,0.0014753888,0.0014504375,0.00081080094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010520566,0.00000819645,0.00010230766,0.000010086239,0.0000017291087,0.000026610855,0.00012122728,0.00010918017,0.0005015158,0.99777645,0.00033671258,0.0009954072],"study_design_scores_gemma":[0.000017593393,0.000015769034,0.00044938238,0.000009850033,0.0000035857076,0.0001813753,0.00012413223,0.002345731,0.0006791013,0.9917605,0.0044011157,0.0000118787675],"about_ca_topic_score_codex":0.0009184294,"about_ca_topic_score_gemma":0.0009492718,"teacher_disagreement_score":0.007023967,"about_ca_system_score_codex":0.0025075164,"about_ca_system_score_gemma":0.0013307724,"threshold_uncertainty_score":0.023497462},"labels":[],"label_agreement":null},{"id":"W4403515383","doi":"10.4171/cmh/577","title":"Katz type $p$-adic $L$-functions for primes $p$ non-split in the $\\mathrm{CM}$ field","year":2024,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Advanced Algebra and Geometry","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","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Prime (order theory); Integer (computer science); Type (biology); Complex multiplication; Algebraic number; Eisenstein series; Quadratic field; Algebraic number field; Field (mathematics); Combinatorics; Automorphic form; Pure mathematics; Modular form; Function (biology); Elliptic curve; Quadratic equation; Mathematical analysis; Geometry; Quadratic function","score_opus":0.05724626319631696,"score_gpt":0.3719040681924715,"score_spread":0.31465780499615453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403515383","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59039044,0.0012631314,0.155459,0.0030443366,0.0004410629,0.00006629599,0.00023768102,0.0006831641,0.24841487],"genre_scores_gemma":[0.953595,0.00053554703,0.017436666,0.00039714345,0.00010791927,0.00003870135,0.000058436017,0.0000771009,0.027753627],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997415,0.000053379263,0.000015142987,0.000054694494,0.00006801616,0.00006722092],"domain_scores_gemma":[0.99964,0.00007381552,0.000066392146,0.000055099525,0.000060496062,0.000104151695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007566683,0.0005905987,0.0002980701,0.0018096855,0.0012768205,0.0022303434,0.00063473795,0.0007096406,0.005118457],"category_scores_gemma":[0.0011046097,0.00023374593,0.0005187065,0.0007632752,0.0031194657,0.0032986798,0.0015616883,0.0017244172,0.0010394021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029247745,0.0000101349515,0.0004919453,0.000022106009,0.0000031110778,0.00013182886,0.00022407634,0.00032405363,0.0013508443,0.9926957,0.00074143306,0.0039754864],"study_design_scores_gemma":[0.00002646939,0.00005633963,0.0014370367,0.000030624313,0.000015318139,0.0006482033,0.00032338462,0.0059418785,0.0048005907,0.9740709,0.012610474,0.00003882516],"about_ca_topic_score_codex":0.00073038536,"about_ca_topic_score_gemma":0.0008073093,"teacher_disagreement_score":0.005118457,"about_ca_system_score_codex":0.0013194047,"about_ca_system_score_gemma":0.00048215984,"threshold_uncertainty_score":0.017122924},"labels":[],"label_agreement":null},{"id":"W4403635325","doi":"10.1016/j.exmath.2024.125626","title":"Classification of the conjugacy classes of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e141\" altimg=\"si12.svg\"><mml:mrow><mml:mover accent=\"true\"><mml:mrow><mml:mi mathvariant=\"normal\">SL</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant=\"double-struck\">R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>","year":2024,"lang":"lv","type":"article","venue":"Expositiones Mathematicae","topic":"Advanced Algebra and Geometry","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; Université du Québec à Montréal","funders":"","keywords":"Conjugacy class; Mathematics; Scalable Vector Graphics; Group (periodic table); Combinatorics; Computer science; World Wide Web; Physics","score_opus":0.022357973911339857,"score_gpt":0.26101248648959235,"score_spread":0.2386545125782525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403635325","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33935285,0.0014056013,0.15300462,0.004456458,0.0017128097,0.00046597506,0.0038932767,0.0019095249,0.493799],"genre_scores_gemma":[0.76650476,0.0014099999,0.027380636,0.0008291572,0.0012007765,0.0005214277,0.0073407744,0.0017695931,0.19304293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983069,0.00024141783,0.00015379646,0.00041094646,0.00041285754,0.00047418498],"domain_scores_gemma":[0.9975647,0.00088752934,0.00025253464,0.00036461567,0.00044157135,0.0004890295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001248456,0.0011687885,0.0012111501,0.004984147,0.0038099051,0.0076520485,0.0012753474,0.0014790038,0.049236797],"category_scores_gemma":[0.004543592,0.0006458465,0.0014127736,0.0028549633,0.0045624175,0.005136345,0.0037752374,0.0038926846,0.016588261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020124327,0.00012963201,0.0027312385,0.000087429384,0.000018842462,0.0001837333,0.000821363,0.0002912868,0.001899242,0.937082,0.016025009,0.04052891],"study_design_scores_gemma":[0.00010312439,0.0001103294,0.0045809792,0.00010097394,0.000043723994,0.0006770313,0.00078812253,0.0031771804,0.0085527785,0.8809576,0.10082464,0.000083422645],"about_ca_topic_score_codex":0.0018922682,"about_ca_topic_score_gemma":0.0010150776,"teacher_disagreement_score":0.049236797,"about_ca_system_score_codex":0.0031187807,"about_ca_system_score_gemma":0.0014561767,"threshold_uncertainty_score":0.1647135},"labels":[],"label_agreement":null},{"id":"W4403733087","doi":"10.1016/j.aim.2024.109976","title":"Spectral invariants over the integers","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","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":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Courtois Foundation; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Pure mathematics; Combinatorics","score_opus":0.02215215400671669,"score_gpt":0.33993162418187256,"score_spread":0.31777947017515584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403733087","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22445424,0.005725328,0.12127437,0.0055072727,0.002083387,0.000056530294,0.00081112125,0.00095671613,0.63913095],"genre_scores_gemma":[0.925894,0.002361357,0.012478879,0.0006163622,0.0022662324,0.000036567235,0.0004320291,0.00019766082,0.05571691],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936634,0.00013043331,0.000033196146,0.00012282054,0.00024038106,0.000106710686],"domain_scores_gemma":[0.999094,0.0002294901,0.00016603793,0.00011129213,0.00022319525,0.00017594828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082030054,0.0007671049,0.0004929909,0.004328842,0.0011433935,0.003525857,0.000650543,0.0005421917,0.009447038],"category_scores_gemma":[0.0020068276,0.0002862825,0.00037458164,0.0017697538,0.0025051844,0.0053364127,0.0016532872,0.0019228699,0.0018845228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010481909,0.000007711816,0.0000662386,0.00001369872,0.0000019053891,0.000009258346,0.00007447456,0.00014957295,0.00027588368,0.9934012,0.0012780514,0.004711456],"study_design_scores_gemma":[0.0000056325134,0.000008100506,0.0001762255,0.000010910969,0.0000041387625,0.000042454467,0.00007507654,0.00079636346,0.0003091173,0.991039,0.007526868,0.00000612371],"about_ca_topic_score_codex":0.0006460737,"about_ca_topic_score_gemma":0.00047271763,"teacher_disagreement_score":0.009447038,"about_ca_system_score_codex":0.0012052836,"about_ca_system_score_gemma":0.00056720217,"threshold_uncertainty_score":0.031603515},"labels":[],"label_agreement":null},{"id":"W4403746523","doi":"10.1007/s40687-025-00589-5","title":"On the structure of the Bloch–Kato Selmer groups of modular forms over anticyclotomic $$\\textbf{Z}_p$$-towers","year":2025,"lang":"en","type":"preprint","venue":"Research in the Mathematical Sciences","topic":"Advanced Algebra and Geometry","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":"Modular design; Mathematics; Pure mathematics; Physics; Combinatorics; Computer science; Operating system","score_opus":0.1120314945834273,"score_gpt":0.4393033116257116,"score_spread":0.3272718170422843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403746523","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9061819,0.0005856429,0.029194174,0.0015804722,0.00024061272,0.000049481267,0.00022320435,0.00024319466,0.061701477],"genre_scores_gemma":[0.9778349,0.00038955067,0.0051599573,0.00028877202,0.00041985157,0.0000559421,0.00022092067,0.000097673954,0.015532391],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995214,0.00012547258,0.00001985719,0.000100493766,0.00010080572,0.00013201193],"domain_scores_gemma":[0.9985153,0.00049609,0.00029477666,0.00012640002,0.00017075877,0.0003966086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00106941,0.0011478465,0.0010041179,0.0039359326,0.00220798,0.0030139475,0.001588321,0.0012348008,0.010596363],"category_scores_gemma":[0.0025644957,0.0006130093,0.0006602083,0.0016258501,0.0042311293,0.005262222,0.002520959,0.0022273392,0.0013682779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010285718,0.000033513817,0.00037153254,0.000034841974,0.000010997872,0.00010102081,0.0004286329,0.0008857838,0.0014273511,0.99239385,0.00081719045,0.0033924684],"study_design_scores_gemma":[0.00004157324,0.00004970586,0.0006697495,0.000018922707,0.000011921046,0.000103127975,0.00013189188,0.005404538,0.0005493593,0.9918139,0.0011811042,0.000024311908],"about_ca_topic_score_codex":0.0011218912,"about_ca_topic_score_gemma":0.0011786406,"teacher_disagreement_score":0.010596363,"about_ca_system_score_codex":0.0013296696,"about_ca_system_score_gemma":0.00066120824,"threshold_uncertainty_score":0.035448372},"labels":[],"label_agreement":null},{"id":"W4404095245","doi":"10.1007/s11856-024-2688-8","title":"Non-vanishing modulo p of Hecke L-values over imaginary quadratic fields","year":2024,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Modulo; Quadratic equation; The Imaginary; Quadratic field; Pure mathematics; Binary quadratic form; Algebra over a field; Arithmetic; Discrete mathematics; Quadratic function; Geometry","score_opus":0.0258520172934008,"score_gpt":0.34054158928676664,"score_spread":0.31468957199336584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404095245","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8986028,0.0011132464,0.022777192,0.0026433864,0.00045528344,0.00006313276,0.00020059112,0.0004993325,0.07364511],"genre_scores_gemma":[0.99029845,0.00031775914,0.0024103592,0.0002120668,0.00046001945,0.000031260024,0.00016021113,0.00007489806,0.006034994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978581,0.0005765064,0.00013060114,0.0004214102,0.00036409666,0.00064928236],"domain_scores_gemma":[0.992987,0.0030107314,0.0011887703,0.0006384185,0.00045476493,0.0017202805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030250712,0.0022922668,0.0017103342,0.0063034,0.0051076775,0.0077011506,0.002943378,0.0024940227,0.007817871],"category_scores_gemma":[0.010193244,0.0013437535,0.0013274723,0.0029145153,0.01098584,0.012613167,0.0051425477,0.0045391857,0.0013048975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006348125,0.00027789854,0.0035947913,0.00022674863,0.00006820635,0.001905862,0.0015163017,0.0010038351,0.0037463603,0.9774099,0.0016960466,0.007919251],"study_design_scores_gemma":[0.00011161459,0.00007945652,0.001086718,0.000047437916,0.000035470548,0.00090551015,0.00033416794,0.003273346,0.0020320606,0.990886,0.0011650585,0.000043137432],"about_ca_topic_score_codex":0.0006327704,"about_ca_topic_score_gemma":0.000616499,"teacher_disagreement_score":0.007817871,"about_ca_system_score_codex":0.001888884,"about_ca_system_score_gemma":0.0017025911,"threshold_uncertainty_score":0.026153386},"labels":[],"label_agreement":null},{"id":"W4404313887","doi":"10.48550/arxiv.2410.20316","title":"Gelfand-Fuks cohomology of vector fields on algebraic varieties","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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; Cohomology; Algebraic variety; Pure mathematics; Algebraic number; Algebra over a field; Mathematical analysis","score_opus":0.08897049645943561,"score_gpt":0.23079340913731877,"score_spread":0.14182291267788316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404313887","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90645194,0.00081792165,0.06007341,0.00053520116,0.00013086708,0.000034895074,0.0002840316,0.00021860836,0.03145315],"genre_scores_gemma":[0.9896554,0.00022225977,0.005768973,0.00003804582,0.000107171974,0.000013433975,0.0001430995,0.000032555658,0.00401926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970275,0.00005580689,0.000011653109,0.00005063647,0.0000912488,0.000087752946],"domain_scores_gemma":[0.9996636,0.00006871726,0.000056632,0.00003792073,0.00005848963,0.000114642906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045064988,0.00078083685,0.00053843856,0.0034188416,0.0009650978,0.0016194229,0.00067253195,0.0004020506,0.0045787776],"category_scores_gemma":[0.0010761331,0.00021957705,0.0005473535,0.0012955798,0.0018844743,0.0032837056,0.0015104632,0.0007735946,0.0005178203],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003245996,0.000036982725,0.002792091,0.00006645719,0.000018317432,0.0002919628,0.00068281457,0.006138036,0.003329296,0.9746719,0.0011112937,0.010828493],"study_design_scores_gemma":[0.000021196218,0.00006899696,0.005652471,0.0000396155,0.00001978286,0.00057783455,0.00054168963,0.043484084,0.0033309797,0.94022113,0.005998283,0.00004386274],"about_ca_topic_score_codex":0.0012978914,"about_ca_topic_score_gemma":0.001002862,"teacher_disagreement_score":0.0045787776,"about_ca_system_score_codex":0.0010979751,"about_ca_system_score_gemma":0.0003370238,"threshold_uncertainty_score":0.0153175},"labels":[],"label_agreement":null},{"id":"W4404362978","doi":"10.4153/s0008439524000638","title":"On Greenberg–Benois $\\mathcal {L}$-invariants and Fontaine–Mazur $\\mathcal {L}$-invariants","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Pure mathematics; Combinatorics","score_opus":0.022597903764643507,"score_gpt":0.2812125311991151,"score_spread":0.2586146274344716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404362978","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69952714,0.0021320141,0.074765444,0.0070400103,0.0008208167,0.000036754784,0.0002481607,0.00025918294,0.21517046],"genre_scores_gemma":[0.9855806,0.00030929712,0.006312264,0.00037726414,0.0003147475,0.000016176422,0.00005600468,0.000053786185,0.00697988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955386,0.00011417852,0.000014840357,0.000106176805,0.00011888981,0.00009194849],"domain_scores_gemma":[0.9986325,0.00047344645,0.00027871018,0.00010892611,0.00026620898,0.00024024947],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015294832,0.00045780663,0.00046511908,0.0025052822,0.0015103846,0.0018463176,0.00081348285,0.00073179445,0.0061780317],"category_scores_gemma":[0.0030742765,0.00018451731,0.00041994225,0.001038968,0.003959909,0.0038629633,0.0015621575,0.0013912931,0.0004934512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014871701,0.0000042352663,0.00022076392,0.000010659651,0.0000025093266,0.00002581788,0.00007847347,0.00017685199,0.00035779463,0.99724615,0.00045898958,0.0014028361],"study_design_scores_gemma":[0.000011584279,0.000025724386,0.00082374614,0.000012529976,0.0000039362135,0.000109848734,0.00010670601,0.0033566593,0.00096540176,0.99125355,0.0033138061,0.000016454504],"about_ca_topic_score_codex":0.0016009156,"about_ca_topic_score_gemma":0.00077830034,"teacher_disagreement_score":0.0061780317,"about_ca_system_score_codex":0.0015970226,"about_ca_system_score_gemma":0.0005123128,"threshold_uncertainty_score":0.020667553},"labels":[],"label_agreement":null},{"id":"W4404515861","doi":"10.1016/j.jnt.2024.10.002","title":"Bounds for smooth theta sums with rational parameters","year":2024,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Queen's University","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","keywords":"Mathematics; Pure mathematics","score_opus":0.030727721540410195,"score_gpt":0.33476258965066724,"score_spread":0.30403486811025704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404515861","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29818133,0.01397294,0.3788752,0.013960807,0.0024824513,0.00016218364,0.00084649277,0.0021200266,0.28939852],"genre_scores_gemma":[0.91293913,0.004979045,0.033244684,0.0013355605,0.0033445025,0.00031678946,0.0007288124,0.0010783987,0.042033114],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950465,0.0013648988,0.00030959485,0.00076340995,0.0014842876,0.0010313896],"domain_scores_gemma":[0.97458935,0.01788436,0.0015058371,0.0016278045,0.001568872,0.0028238203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009178868,0.0053250277,0.0044946894,0.014053501,0.005271846,0.011599445,0.0068539395,0.0037317912,0.022258462],"category_scores_gemma":[0.03235623,0.002337927,0.0026139254,0.0073433197,0.011061509,0.026365818,0.014471453,0.012723043,0.004332232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001558236,0.00006202882,0.00052423443,0.00018617228,0.000044048113,0.00012947671,0.00050343905,0.0019069343,0.00075110485,0.98754287,0.002215344,0.005978444],"study_design_scores_gemma":[0.000015841897,0.00002080038,0.00024435474,0.000073121395,0.000059526974,0.00011713841,0.000098538134,0.0078082513,0.00044542487,0.9890703,0.0020165544,0.000030294172],"about_ca_topic_score_codex":0.000981942,"about_ca_topic_score_gemma":0.0012593049,"teacher_disagreement_score":0.022258462,"about_ca_system_score_codex":0.0044200965,"about_ca_system_score_gemma":0.0013423433,"threshold_uncertainty_score":0.074462},"labels":[],"label_agreement":null},{"id":"W4404611356","doi":"10.4153/s0008439524000596","title":"Compatibility of Kazhdan and Brauer homomorphism","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Homomorphism; Combinatorics; Isomorphism (crystallography); Automorphism; Brauer group; Discrete mathematics; Crystallography","score_opus":0.025862498684453585,"score_gpt":0.288330928453802,"score_spread":0.2624684297693484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404611356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8591846,0.00042596122,0.042802826,0.00076535926,0.00019252814,0.00004901591,0.00007165205,0.000292524,0.09621548],"genre_scores_gemma":[0.99072695,0.00009394605,0.002443679,0.0000816496,0.000100878344,0.000017438037,0.000034980156,0.00002207008,0.006478486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865687,0.00040842043,0.00005939074,0.00027357935,0.00033439597,0.0002673143],"domain_scores_gemma":[0.99939823,0.00014473515,0.0000953254,0.00008120153,0.00011379313,0.00016669735],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010986568,0.00024253764,0.00035062555,0.0010906892,0.0016333658,0.001976234,0.0004921612,0.00066122087,0.0050084735],"category_scores_gemma":[0.0015969587,0.0002489257,0.0003951374,0.00063562306,0.0027564333,0.0026180123,0.0021587599,0.0011578536,0.00066172547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056168545,0.000035533125,0.00065702887,0.000018466122,0.000006505467,0.0002068353,0.0005226821,0.00022200478,0.003301486,0.9912208,0.00022867155,0.0035238776],"study_design_scores_gemma":[0.00007717532,0.00029075093,0.0032405562,0.000031002375,0.000031286138,0.0009876565,0.0010747695,0.0058993786,0.014340802,0.96064395,0.013334007,0.00004872574],"about_ca_topic_score_codex":0.0005076375,"about_ca_topic_score_gemma":0.00025007158,"teacher_disagreement_score":0.0050084735,"about_ca_system_score_codex":0.0008669379,"about_ca_system_score_gemma":0.000378906,"threshold_uncertainty_score":0.016754985},"labels":[],"label_agreement":null},{"id":"W4404787446","doi":"10.4310/cjm.241128003050","title":"Tempered currents and Deligne cohomology of Shimura varieties, with an application to $\\mathrm{GSp}_6$","year":2024,"lang":"en","type":"article","venue":"Cambridge Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Agence Nationale de la Recherche; Japan Society for the Promotion of Science; European Commission; Instituto de Ciencias Matemáticas","keywords":"Mathematics; Cohomology; Shimura variety; Pure mathematics; Geology; Algebra over a field; Modular form","score_opus":0.021655624344423193,"score_gpt":0.31792661984749615,"score_spread":0.29627099550307295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404787446","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44805506,0.009952931,0.28520828,0.00751682,0.0036579298,0.00019033349,0.0003550569,0.0009822551,0.24408132],"genre_scores_gemma":[0.9104807,0.002625026,0.030284645,0.00051058497,0.0022589853,0.000075012664,0.00018662792,0.00028702908,0.05329139],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995309,0.00011438679,0.00002967,0.00014494141,0.00008895166,0.000091088106],"domain_scores_gemma":[0.99910754,0.0002629522,0.0001056752,0.00009266193,0.00012726517,0.00030387836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013056857,0.0011637311,0.0012955958,0.004392764,0.0025935562,0.004278928,0.00133663,0.0014714376,0.013055158],"category_scores_gemma":[0.0036298975,0.0006118891,0.001636324,0.0017186833,0.0044394284,0.00735135,0.0036244255,0.0028625028,0.000887429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018476889,0.000019488107,0.00015488506,0.000021913826,0.00000694377,0.000076403514,0.00022886596,0.00034833656,0.00042492792,0.99500656,0.00052255765,0.0031706723],"study_design_scores_gemma":[0.000014264823,0.000025061321,0.00032774443,0.000015926344,0.000010764564,0.00014597808,0.00012322998,0.005237831,0.0003165304,0.99047744,0.0032894937,0.000015765301],"about_ca_topic_score_codex":0.0009839517,"about_ca_topic_score_gemma":0.001009726,"teacher_disagreement_score":0.013055158,"about_ca_system_score_codex":0.0016179289,"about_ca_system_score_gemma":0.00064444,"threshold_uncertainty_score":0.043673813},"labels":[],"label_agreement":null},{"id":"W4404931106","doi":"10.4153/s0008414x24000579","title":"Counting points by height in semigroup orbits","year":2024,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","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; Semigroup; Pure mathematics","score_opus":0.01980291796838785,"score_gpt":0.2763703024328257,"score_spread":0.25656738446443783,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404931106","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85987544,0.0005351372,0.12527347,0.0004375732,0.000104304214,0.000043717217,0.00019826183,0.00018839704,0.013343588],"genre_scores_gemma":[0.988429,0.00023967234,0.008245989,0.00003294902,0.00009186831,0.000034292225,0.00011435093,0.000036221503,0.0027755573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898285,0.000180599,0.00005459839,0.00017949734,0.00039138095,0.00021120043],"domain_scores_gemma":[0.9951702,0.0026427926,0.00039080594,0.0003981033,0.0006769673,0.000721169],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014748985,0.0004881609,0.00090105867,0.0036342822,0.0013504904,0.0025223335,0.001312924,0.0008956638,0.005138487],"category_scores_gemma":[0.007808719,0.00038421404,0.0008197602,0.0010273419,0.0038766519,0.0059196856,0.003119332,0.001653902,0.0003333166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015811504,0.00003727743,0.005293606,0.0001141941,0.000020456835,0.00035445843,0.0007359894,0.0065910565,0.0075294906,0.9695644,0.00055095233,0.009050001],"study_design_scores_gemma":[0.00003369315,0.0001274802,0.004109373,0.00008649508,0.0000341442,0.000478551,0.0005209279,0.082860395,0.0103189135,0.8993089,0.0020609673,0.000060090664],"about_ca_topic_score_codex":0.00083193474,"about_ca_topic_score_gemma":0.00048605315,"teacher_disagreement_score":0.005138487,"about_ca_system_score_codex":0.0014470443,"about_ca_system_score_gemma":0.00041694514,"threshold_uncertainty_score":0.01718998},"labels":[],"label_agreement":null},{"id":"W4405561593","doi":"10.48550/arxiv.2412.12055","title":"$(\\infty,\\infty)$-Categorical Universal Motives","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Langlands program; Langlands dual group; Mathematics; Physics; Pure mathematics; Automorphic form","score_opus":0.11228352479741474,"score_gpt":0.23253090330997098,"score_spread":0.12024737851255624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405561593","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26833075,0.002472376,0.39821616,0.0051495656,0.00056240865,0.000059546146,0.000685238,0.00084316864,0.32368082],"genre_scores_gemma":[0.94645375,0.00047053653,0.033752203,0.00034362837,0.00012423658,0.00005691492,0.00021061325,0.000098520206,0.018489607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993505,0.00017291878,0.000041387226,0.00014513667,0.00017504387,0.00011507937],"domain_scores_gemma":[0.9995727,0.00007743008,0.000042795135,0.00007788748,0.00014715579,0.00008209925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094228017,0.0003107352,0.00025339785,0.0012326298,0.0010274226,0.0021082978,0.0005660124,0.0004541503,0.0039995695],"category_scores_gemma":[0.0008553976,0.00015476336,0.00047979457,0.0005493218,0.0044938703,0.003514286,0.002455101,0.0011462332,0.00048259183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023167065,0.0000013576511,0.00009507591,0.0000074161762,8.942251e-7,0.000010939742,0.00013614437,0.000049976978,0.00017205617,0.99749386,0.00018550629,0.0018445418],"study_design_scores_gemma":[0.000005488143,0.000017166622,0.00062745373,0.000015512716,0.0000053640892,0.00017095321,0.0003226953,0.0011850743,0.00076227816,0.96165234,0.035224695,0.000010951073],"about_ca_topic_score_codex":0.0010890352,"about_ca_topic_score_gemma":0.0008415194,"teacher_disagreement_score":0.0039995695,"about_ca_system_score_codex":0.0012605643,"about_ca_system_score_gemma":0.00056677306,"threshold_uncertainty_score":0.013379872},"labels":[],"label_agreement":null},{"id":"W4405654639","doi":"10.1007/s00208-024-03061-x","title":"The Gross–Kohnen–Zagier theorem via p-adic uniformization","year":2024,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; “la Caixa” Foundation","keywords":"Mathematics; Uniformization (probability theory); Pure mathematics; Algebra over a field; Statistics","score_opus":0.027280643459558288,"score_gpt":0.322408021352125,"score_spread":0.2951273778925667,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405654639","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2547429,0.0053363414,0.32379538,0.009679808,0.0013172344,0.00008240817,0.00068729464,0.00046082883,0.4038978],"genre_scores_gemma":[0.92865956,0.0024138137,0.028321035,0.0013736646,0.0011286273,0.00008279431,0.00025900392,0.00019857705,0.037562907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993687,0.00015377237,0.00003135271,0.00018961934,0.00015248028,0.000104061786],"domain_scores_gemma":[0.9993154,0.0002113568,0.00009142768,0.000118310796,0.00015568103,0.00010789213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010929181,0.00081302726,0.0008818927,0.0018285539,0.0013939284,0.0023499986,0.0009979669,0.0009988524,0.006294783],"category_scores_gemma":[0.0020731061,0.00039934518,0.0008844626,0.0011099132,0.0044935374,0.006734207,0.0030560002,0.0037053337,0.0009445966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010916905,0.000005384777,0.000059702048,0.000014408556,0.0000044393605,0.00001962756,0.000051570292,0.00018937406,0.0002126158,0.99670154,0.0005508953,0.0021795603],"study_design_scores_gemma":[0.000006403074,0.0000059161293,0.00014248301,0.0000039201614,0.000003746006,0.000036715715,0.000018183033,0.0010168169,0.00014007978,0.9967393,0.0018817439,0.0000046469054],"about_ca_topic_score_codex":0.0011817185,"about_ca_topic_score_gemma":0.0006973609,"teacher_disagreement_score":0.006294783,"about_ca_system_score_codex":0.0011720257,"about_ca_system_score_gemma":0.00054141344,"threshold_uncertainty_score":0.021058142},"labels":[],"label_agreement":null},{"id":"W4405989183","doi":"10.4310/pamq.241205003652","title":"Gaiotto conjecture for $\\operatorname{Rep}_q(\\operatorname{GL}(N-1 \\mid N))$","year":2025,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","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; Perimeter Institute","funders":"","keywords":"Mathematics; Conjecture; Combinatorics","score_opus":0.01261090504853781,"score_gpt":0.28437985535454086,"score_spread":0.27176895030600307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405989183","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1079186,0.0017653191,0.040370077,0.083474234,0.0074898712,0.00009818536,0.0015249779,0.0020224783,0.75533617],"genre_scores_gemma":[0.79691404,0.0011248125,0.012725664,0.019231193,0.0047966354,0.00028280588,0.0018054786,0.0014514755,0.161668],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983309,0.00025258766,0.00006358388,0.00044185785,0.0003691246,0.000541936],"domain_scores_gemma":[0.9980045,0.00076257274,0.0001688749,0.00042042602,0.00028769276,0.00035606071],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015700078,0.0014999127,0.0025406566,0.003037535,0.007815933,0.0071218302,0.0022780404,0.0054642633,0.039091006],"category_scores_gemma":[0.005171817,0.0010356703,0.0026588482,0.0025173104,0.008527764,0.0125691015,0.005279949,0.008353898,0.008313093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048144146,0.000017105252,0.00015246749,0.000026517704,0.0000051037323,0.00005982015,0.00014487229,0.00007891006,0.00014191367,0.984379,0.013638077,0.001308001],"study_design_scores_gemma":[0.000028640428,0.0000048684524,0.0002665614,0.000020973099,0.000007658683,0.000075179865,0.000082509025,0.00070300075,0.0001617875,0.99072427,0.007908962,0.000015628138],"about_ca_topic_score_codex":0.0058386354,"about_ca_topic_score_gemma":0.0050775046,"teacher_disagreement_score":0.039091006,"about_ca_system_score_codex":0.003024197,"about_ca_system_score_gemma":0.0018395608,"threshold_uncertainty_score":0.13077247},"labels":[],"label_agreement":null},{"id":"W4406021508","doi":"10.4153/s0008439524000985","title":"A characterization of inner product spaces via norming vectors","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Agence Nationale de la Recherche","keywords":"Mathematics; Inner product space; Characterization (materials science); Product (mathematics); Algebra over a field; Mathematics education; Pure mathematics; Geometry; Nanotechnology","score_opus":0.011547918573111472,"score_gpt":0.2524124356528312,"score_spread":0.24086451707971976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406021508","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59716153,0.0011006218,0.32050556,0.0008739319,0.00028232104,0.00005739308,0.00034143034,0.0003003256,0.07937686],"genre_scores_gemma":[0.97668546,0.00023777662,0.01657273,0.00011099871,0.00017373827,0.000036878755,0.00016867805,0.00005571166,0.005958083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802125,0.000501158,0.00013257879,0.00036347317,0.0006982233,0.00028329936],"domain_scores_gemma":[0.99687374,0.0006864312,0.0005316281,0.00028345198,0.0010585298,0.0005661835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015224803,0.00047770631,0.00049084943,0.001809446,0.0009123916,0.003332449,0.0006141529,0.0005053472,0.0029695625],"category_scores_gemma":[0.0024237817,0.00028079748,0.00043831795,0.0010756017,0.0037706136,0.004421893,0.0026083582,0.0013094773,0.00039496494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027511906,0.00001929118,0.00039843403,0.000020526542,0.0000074178406,0.00007370999,0.00030142398,0.0005280262,0.0019943032,0.9927301,0.00034186704,0.0035573153],"study_design_scores_gemma":[0.000009559731,0.000099722856,0.00081574346,0.000027348593,0.000013169211,0.00036017768,0.00035244573,0.0122536225,0.0035847784,0.9729006,0.0095512625,0.000031509753],"about_ca_topic_score_codex":0.00045450416,"about_ca_topic_score_gemma":0.00024327877,"teacher_disagreement_score":0.003332449,"about_ca_system_score_codex":0.0007674167,"about_ca_system_score_gemma":0.00040374033,"threshold_uncertainty_score":0.009934187},"labels":[],"label_agreement":null},{"id":"W4406050416","doi":"10.1007/jhep01(2025)032","title":"The decoupling of moduli about the standard embedding","year":2025,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Moduli; Embedding; Decoupling (probability); Minimal Supersymmetric Standard Model; Particle physics; Supersymmetry; Theoretical physics; Mathematical physics; Quantum electrodynamics; Quantum mechanics","score_opus":0.014799804553450068,"score_gpt":0.3105473009679906,"score_spread":0.2957474964145405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406050416","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95870817,0.000117529686,0.017671052,0.00058192434,0.00009678042,0.000010941163,0.00005008172,0.000084834486,0.022678718],"genre_scores_gemma":[0.9925483,0.00006960907,0.0019930936,0.000052732987,0.000037950063,0.0000055861215,0.000053527107,0.000044952765,0.0051943073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973494,0.000035787452,0.000011908696,0.000042906624,0.00009882476,0.00007567632],"domain_scores_gemma":[0.9997607,0.000035332116,0.000040579616,0.000055966077,0.00003551793,0.000071991504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038685295,0.00041362314,0.00043009722,0.00082353957,0.0008395199,0.0020184135,0.0005522883,0.0007956059,0.008427979],"category_scores_gemma":[0.0013255607,0.0002384737,0.00037308823,0.0003895528,0.001762185,0.0040616323,0.0017624586,0.0012960692,0.00045615956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010669518,0.00007365335,0.0015110711,0.000049467384,0.000013585134,0.00060321105,0.00056549127,0.009893104,0.012137015,0.9692286,0.00071561185,0.0051024365],"study_design_scores_gemma":[0.000053621217,0.0001599941,0.006325108,0.000049739298,0.000021694661,0.0007227507,0.0010110261,0.15376402,0.007036935,0.8271962,0.003607057,0.00005189529],"about_ca_topic_score_codex":0.0008520688,"about_ca_topic_score_gemma":0.00060746074,"teacher_disagreement_score":0.008427979,"about_ca_system_score_codex":0.0008196024,"about_ca_system_score_gemma":0.00037819796,"threshold_uncertainty_score":0.028194368},"labels":[],"label_agreement":null},{"id":"W4406113708","doi":"10.1093/qmath/haae070","title":"Euler Systems and Selmer Bounds for GU(2,1)","year":2025,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Engineering and Physical Sciences Research Council; University of Warwick","keywords":"Euler's formula; Mathematics; Computer science; Pure mathematics; Business; Discrete mathematics; Mathematical analysis","score_opus":0.02726307712738132,"score_gpt":0.3272376666088185,"score_spread":0.2999745894814372,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406113708","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94746065,0.00024518275,0.029625097,0.0003767352,0.00004549747,0.000015867226,0.0000615515,0.00007913671,0.022090374],"genre_scores_gemma":[0.9949654,0.00006845329,0.0018730803,0.000038325794,0.00004177556,0.000009278425,0.000052019288,0.000016124937,0.0029355953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996691,0.00007202384,0.00001458295,0.00007927437,0.00007400764,0.00009114066],"domain_scores_gemma":[0.9992217,0.00023763023,0.00020173495,0.000068166075,0.000056656278,0.00021402523],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054511474,0.00046304235,0.0004019672,0.0019884421,0.0010356935,0.0013600438,0.00049928273,0.0006169595,0.008585851],"category_scores_gemma":[0.0022178127,0.00023609822,0.00033742518,0.0005501033,0.0023724707,0.0026141577,0.0018412918,0.00093551824,0.00047355244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041583564,0.00001808732,0.001276435,0.00002697564,0.0000056737554,0.00013960766,0.00043288275,0.0014977009,0.0025835733,0.9910417,0.00025644005,0.0026792134],"study_design_scores_gemma":[0.000019195835,0.00006498018,0.0021985825,0.000026422003,0.000008248989,0.000262248,0.00024999338,0.017304212,0.0035508492,0.97405154,0.0022374506,0.000026185478],"about_ca_topic_score_codex":0.00038727504,"about_ca_topic_score_gemma":0.0002925673,"teacher_disagreement_score":0.008585851,"about_ca_system_score_codex":0.0006843882,"about_ca_system_score_gemma":0.00018498994,"threshold_uncertainty_score":0.028722525},"labels":[],"label_agreement":null},{"id":"W4406225679","doi":"10.4153/s0008439524000882","title":"On infinitesimal $\\boldsymbol { \\tau }$-isospectrality of locally symmetric spaces","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Infinitesimal; Symmetric space; Pure mathematics; Lie group; Combinatorics; Mathematical analysis","score_opus":0.01626302954039386,"score_gpt":0.2798399516486924,"score_spread":0.26357692210829853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406225679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9488551,0.000117954536,0.033400826,0.0002015984,0.00004785195,0.0000087635435,0.000029190116,0.00005662641,0.017282141],"genre_scores_gemma":[0.9956204,0.0000421881,0.0020394267,0.00002840799,0.00003978049,0.00000726269,0.000023364699,0.000016639562,0.0021825861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995683,0.00008877972,0.000020725687,0.000091941576,0.00014600511,0.00008431588],"domain_scores_gemma":[0.999292,0.00013693485,0.00013325205,0.00009177847,0.00011022979,0.00023575709],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044597598,0.00027477642,0.00031180322,0.0008881895,0.00080376834,0.0012393048,0.00046321077,0.00035593845,0.0027769925],"category_scores_gemma":[0.0012023625,0.0001671383,0.0003089068,0.00028531632,0.0021501286,0.0016661128,0.0012340465,0.00075334957,0.0002825605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004492392,0.000028822273,0.0006819058,0.000014885897,0.0000052916826,0.0002598786,0.00032529436,0.0009240009,0.0062061413,0.98831844,0.000199753,0.0029904856],"study_design_scores_gemma":[0.00001698652,0.00007481136,0.0019429071,0.000009395889,0.0000053674753,0.0005066319,0.00031733804,0.016778259,0.0043011466,0.9747217,0.0013060641,0.00001942758],"about_ca_topic_score_codex":0.00038443753,"about_ca_topic_score_gemma":0.00031895933,"teacher_disagreement_score":0.0027769925,"about_ca_system_score_codex":0.00053023023,"about_ca_system_score_gemma":0.00023460419,"threshold_uncertainty_score":0.00928992},"labels":[],"label_agreement":null},{"id":"W4406293617","doi":"10.1515/forum-2023-0196","title":"Weil representations of twisted loop groups of type <i>A</i> <sup> <i>n</i> </sup> <sup>(2)</sup>","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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":"Type (biology); Mathematics; Loop (graph theory); Combinatorics; Cover (algebra); Group (periodic table); Physics; Algebra over a field; Pure mathematics; Quantum mechanics","score_opus":0.020890646289849414,"score_gpt":0.3053187184236009,"score_spread":0.2844280721337515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406293617","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92067677,0.00023275298,0.034495752,0.0006169649,0.00024358294,0.00004378248,0.00013396557,0.00045559742,0.043100923],"genre_scores_gemma":[0.9870336,0.00010118867,0.0028963364,0.00007232566,0.00014942513,0.000025349622,0.00010949099,0.000064942826,0.009547284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993881,0.000083126324,0.00002417398,0.000080069374,0.00017182714,0.00025275993],"domain_scores_gemma":[0.99946374,0.00008061178,0.00013098492,0.00006273737,0.000060945258,0.00020099137],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054422393,0.00091468386,0.000650761,0.0017036962,0.0013961184,0.0021721376,0.0004982665,0.00083720527,0.009795201],"category_scores_gemma":[0.0011355765,0.00026065498,0.0007434074,0.0008026543,0.0016671846,0.0030290184,0.0024102037,0.0014024229,0.0011048127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002512819,0.00008166422,0.0012200777,0.000040215382,0.000021425796,0.0007271607,0.0009853339,0.0020597097,0.009738725,0.97083616,0.0017089166,0.012329302],"study_design_scores_gemma":[0.00010600382,0.00034196465,0.0022402701,0.000046961544,0.0000430984,0.00066892285,0.0007367195,0.020786451,0.013547212,0.95272756,0.008688414,0.00006638567],"about_ca_topic_score_codex":0.0004976039,"about_ca_topic_score_gemma":0.00032616543,"teacher_disagreement_score":0.009795201,"about_ca_system_score_codex":0.001125437,"about_ca_system_score_gemma":0.00034030847,"threshold_uncertainty_score":0.03276819},"labels":[],"label_agreement":null},{"id":"W4406444257","doi":"10.48550/arxiv.2408.01643","title":"Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Automorphic form; Mathematics; Eigenvalues and eigenvectors; Pure mathematics; Hecke operator; Algebra over a field; Modular form; Physics; Quantum mechanics","score_opus":0.2543802332612719,"score_gpt":0.28958212823827467,"score_spread":0.03520189497700277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406444257","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.797482,0.00027207838,0.173339,0.00049632206,0.00014195895,0.000033469532,0.0002693029,0.00030056894,0.027665323],"genre_scores_gemma":[0.9825618,0.000111282556,0.011839925,0.00009815885,0.00009465203,0.000037769118,0.00018283098,0.00010386948,0.004969783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985732,0.00022028449,0.00007540701,0.0003771419,0.00044073563,0.00031337806],"domain_scores_gemma":[0.9975909,0.0010342097,0.00037646113,0.00034678925,0.000210301,0.000441391],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015495907,0.00057877396,0.0008974667,0.003783886,0.0021358156,0.002940543,0.0016260265,0.0012828808,0.009187476],"category_scores_gemma":[0.005915307,0.0005070219,0.0009211549,0.0013164349,0.0027410605,0.0040472182,0.0030585553,0.0015933955,0.00091332797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015263475,0.00006163385,0.0018502258,0.000066917346,0.000015384323,0.00017100884,0.00046691202,0.003114074,0.003719531,0.9827419,0.00065604923,0.006983685],"study_design_scores_gemma":[0.000032235606,0.0000561984,0.0014441136,0.000027856491,0.0000144972555,0.00024635828,0.00031005664,0.027644819,0.0039110538,0.96516997,0.001100571,0.00004227466],"about_ca_topic_score_codex":0.00043878218,"about_ca_topic_score_gemma":0.0004908295,"teacher_disagreement_score":0.009187476,"about_ca_system_score_codex":0.0010408474,"about_ca_system_score_gemma":0.0004429733,"threshold_uncertainty_score":0.030735195},"labels":[],"label_agreement":null},{"id":"W4406880080","doi":"10.48550/arxiv.2501.15072","title":"Pervasiveness of $\\mathcal{L}^r(E,F)$ in $\\mathcal{L}^r(E,F^δ)$","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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; University of Alberta","keywords":"Physics; Delta","score_opus":0.10487380527385369,"score_gpt":0.37382925452066157,"score_spread":0.26895544924680787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406880080","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6521973,0.0008058819,0.27903995,0.0014848469,0.00017647754,0.00012932447,0.0005771816,0.0005608258,0.065028265],"genre_scores_gemma":[0.9587409,0.00047726787,0.032656062,0.0002976552,0.00014336224,0.00010387319,0.00048872817,0.00014542433,0.006946747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832374,0.00024796985,0.00008427243,0.00058081036,0.00043112095,0.00033208114],"domain_scores_gemma":[0.9980562,0.00042718332,0.00032434796,0.0002847351,0.00038958408,0.0005181297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015904427,0.0007428653,0.0007828805,0.0015184098,0.0014613785,0.002832279,0.00076281023,0.00064544467,0.0037716846],"category_scores_gemma":[0.0028420882,0.00052877644,0.0011811047,0.00046403296,0.0036308356,0.003096417,0.003773932,0.0026678918,0.00065932394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000084637984,0.000050193903,0.0012670098,0.000069029324,0.000022460565,0.0003155675,0.00055119174,0.0009400521,0.009443032,0.98098123,0.00050460256,0.0057710577],"study_design_scores_gemma":[0.00006520543,0.00029249728,0.0063717063,0.00007544179,0.000059234815,0.0016848758,0.001273756,0.023302827,0.014726467,0.93853396,0.0135009615,0.000113105714],"about_ca_topic_score_codex":0.0013411363,"about_ca_topic_score_gemma":0.0013863761,"teacher_disagreement_score":0.0037716846,"about_ca_system_score_codex":0.0009547304,"about_ca_system_score_gemma":0.0011494111,"threshold_uncertainty_score":0.012617588},"labels":[],"label_agreement":null},{"id":"W4407113242","doi":"10.1007/jhep01(2025)188","title":"Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality","year":2025,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Advanced Algebra and Geometry","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":"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":"Physics; Symplectic geometry; Higgs boson; Coulomb; Duality (order theory); Quantization (signal processing); Particle physics; Mathematical physics; Theoretical physics; Quantum mechanics; Pure mathematics","score_opus":0.01665424315245582,"score_gpt":0.2948183290540113,"score_spread":0.27816408590155545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407113242","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86242265,0.00021753457,0.07416507,0.0007474136,0.00013405879,0.00004054006,0.000111093694,0.00016808869,0.06199358],"genre_scores_gemma":[0.9900845,0.000072512696,0.0064620962,0.000060973303,0.000048103804,0.000014330818,0.0000533894,0.00003215792,0.0031718086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966717,0.00008167942,0.000014940312,0.000032122123,0.00013546199,0.00006861521],"domain_scores_gemma":[0.99965394,0.00005555936,0.000057930163,0.000055660603,0.00008213169,0.0000948015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005200722,0.0003451349,0.00032591244,0.0011418565,0.00077177736,0.0014946361,0.00055682374,0.00063479756,0.004017535],"category_scores_gemma":[0.00093257247,0.00013661115,0.0004124795,0.00048251887,0.0022696056,0.001654261,0.0009126033,0.00083737035,0.00027362045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000076420065,0.00000798975,0.00012130067,0.0000043478394,0.0000015640121,0.000063619795,0.00008012272,0.0013305203,0.0010700087,0.9962263,0.00018837632,0.0008981945],"study_design_scores_gemma":[0.000021469858,0.000034596556,0.00075588824,0.000010410223,0.0000032368116,0.00017074849,0.00021368328,0.05017093,0.0018131605,0.94538146,0.0014084844,0.000015953416],"about_ca_topic_score_codex":0.0012576758,"about_ca_topic_score_gemma":0.0008947712,"teacher_disagreement_score":0.004017535,"about_ca_system_score_codex":0.00078662817,"about_ca_system_score_gemma":0.00074873114,"threshold_uncertainty_score":0.013439953},"labels":[],"label_agreement":null},{"id":"W4407229398","doi":"10.1007/s00039-025-00702-4","title":"Geometric Langlands Duality for Periods","year":2025,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","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":"National Science Foundation","keywords":"Langlands dual group; Mathematics; Langlands program; Duality (order theory); Pure mathematics; Algebra over a field; Conjecture","score_opus":0.033016928980118695,"score_gpt":0.3153437096464581,"score_spread":0.28232678066633937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407229398","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8066538,0.00057304784,0.046394352,0.0013844258,0.00020044406,0.000031902568,0.00010951349,0.00016760829,0.14448495],"genre_scores_gemma":[0.9931092,0.00008117277,0.002291591,0.0000820615,0.000088033514,0.000012357172,0.000036684567,0.000016599524,0.004282252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996319,0.00009378301,0.000017485212,0.00006933835,0.00009668484,0.0000908302],"domain_scores_gemma":[0.9994148,0.0001837267,0.00009584841,0.00010467264,0.000098631856,0.00010226029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007734166,0.0002959904,0.00038537817,0.0013927307,0.0012035238,0.0022309325,0.00039047113,0.00062765385,0.004541285],"category_scores_gemma":[0.0015840017,0.000117830394,0.0003289648,0.0005280627,0.0030422255,0.0030751885,0.0012040094,0.0009755419,0.0003808538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008114749,0.0000060939465,0.00017270051,0.0000058320234,0.0000010353934,0.00002986729,0.00013462814,0.00030244453,0.000421309,0.9975163,0.00016814818,0.0012337011],"study_design_scores_gemma":[0.000006089889,0.000011323624,0.0003557473,0.000008511322,0.0000016975063,0.000055299126,0.00013565851,0.0023986637,0.00038059434,0.99500483,0.0016360052,0.000005707031],"about_ca_topic_score_codex":0.00029355328,"about_ca_topic_score_gemma":0.00020993473,"teacher_disagreement_score":0.004541285,"about_ca_system_score_codex":0.0009057999,"about_ca_system_score_gemma":0.0002692701,"threshold_uncertainty_score":0.015192091},"labels":[],"label_agreement":null},{"id":"W4407421551","doi":"10.1007/s00209-025-03683-0","title":"Kudla Millson lift of toric cycles and restriction of Hilbert modular forms","year":2025,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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; Lift (data mining); Pure mathematics; Modular design; Computer science","score_opus":0.012174987837986451,"score_gpt":0.2811993276843823,"score_spread":0.2690243398463959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407421551","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8221895,0.00071611995,0.03918553,0.001965628,0.0007694471,0.00008782779,0.00022971602,0.0003633871,0.13449284],"genre_scores_gemma":[0.9592789,0.00042001347,0.0054505435,0.00037657667,0.00047678672,0.00005704825,0.00017514711,0.00019097868,0.033574093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941397,0.00010691889,0.000022933154,0.00010893238,0.0001573578,0.00018988506],"domain_scores_gemma":[0.99934095,0.00010654619,0.00010675785,0.00007133648,0.00008640774,0.00028802524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064778584,0.0010466225,0.0011729235,0.0029785056,0.0025032274,0.0026562233,0.0012370222,0.0012777493,0.009725628],"category_scores_gemma":[0.0021558467,0.00065988494,0.0011295123,0.001163491,0.0027732488,0.0034744213,0.0040869555,0.003339198,0.0012449078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000076123,0.000041659565,0.00021953437,0.000032623528,0.000010703879,0.00027670956,0.00039324904,0.00043059344,0.0015384568,0.99206465,0.00090682943,0.004008888],"study_design_scores_gemma":[0.000035717683,0.00003929481,0.0007173544,0.000016546894,0.000011806602,0.0002971965,0.00019847008,0.0030372178,0.00079603645,0.9920076,0.0028155325,0.000027270424],"about_ca_topic_score_codex":0.0015213253,"about_ca_topic_score_gemma":0.0011051486,"teacher_disagreement_score":0.009725628,"about_ca_system_score_codex":0.001591447,"about_ca_system_score_gemma":0.00088603323,"threshold_uncertainty_score":0.032535493},"labels":[],"label_agreement":null},{"id":"W4407613397","doi":"10.4153/s0008439524000444","title":"An Iwahori theoretic mod $p$ local Langlands correspondence","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Mathematics; Mod; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.011106177143587595,"score_gpt":0.2920760301482988,"score_spread":0.2809698530047112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407613397","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66071784,0.00046850025,0.13444412,0.0016653887,0.0003014187,0.00006727553,0.00020301447,0.00039381176,0.20173864],"genre_scores_gemma":[0.9732212,0.00012411604,0.011089223,0.00020587689,0.00016797942,0.000035434074,0.00008858659,0.00005805983,0.015009573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951756,0.0000885971,0.000021006561,0.00011509861,0.00014879719,0.000108988344],"domain_scores_gemma":[0.9997179,0.000076277945,0.000038198723,0.000051554238,0.000052542233,0.000063401305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056333805,0.00021786409,0.00034437337,0.0009158022,0.00090371276,0.0020029186,0.0005685144,0.00043762277,0.00867709],"category_scores_gemma":[0.00086102786,0.00018015319,0.00038949616,0.00050515024,0.002165927,0.0040508583,0.0019663163,0.0012606496,0.0011803297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015518332,0.000016861495,0.00018988513,0.000012149316,0.0000023333314,0.00009147266,0.00017592397,0.00021674068,0.0013859576,0.99390244,0.00034885108,0.0036419095],"study_design_scores_gemma":[0.000013486153,0.000043300224,0.0006063534,0.000009083511,0.0000044818553,0.0002833086,0.00018973534,0.0023849865,0.0031498852,0.9855628,0.0077415225,0.000011062136],"about_ca_topic_score_codex":0.00021252858,"about_ca_topic_score_gemma":0.00019966476,"teacher_disagreement_score":0.00867709,"about_ca_system_score_codex":0.0008250531,"about_ca_system_score_gemma":0.00036861072,"threshold_uncertainty_score":0.02902776},"labels":[],"label_agreement":null},{"id":"W4408371595","doi":"10.4153/s000843952500027x","title":"Arthur packets for pure real forms of symplectic and special orthogonal groups","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Carleton University","funders":"","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Algebra over a field","score_opus":0.015581200357747583,"score_gpt":0.2768499802506622,"score_spread":0.26126877989291464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408371595","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83760005,0.00068324944,0.09739667,0.0008396365,0.000308717,0.00009589146,0.0000866489,0.00011699436,0.062872194],"genre_scores_gemma":[0.9813545,0.00028690632,0.008044082,0.00013278952,0.0001764631,0.00003703301,0.000042771895,0.000034313194,0.009891294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990866,0.00026935566,0.000058750797,0.00011505008,0.00030717114,0.00016304576],"domain_scores_gemma":[0.9981717,0.00049344206,0.0003938545,0.00020028885,0.00030464918,0.00043611188],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015442792,0.00068355486,0.00039389293,0.0026893767,0.0014845479,0.0031134158,0.00062852335,0.0006628967,0.005023938],"category_scores_gemma":[0.0029091684,0.00026525787,0.0006206879,0.00075871305,0.0039474443,0.003915432,0.002687868,0.0013912899,0.00042906735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000962081,0.000008101163,0.00016876154,0.000006802608,0.0000020566981,0.00004762054,0.00017214505,0.00015411232,0.00044034977,0.9974649,0.00014001368,0.0013855653],"study_design_scores_gemma":[0.00001539463,0.00006798677,0.00063516037,0.000016172222,0.0000076065617,0.00031492187,0.0003246946,0.005028782,0.0012777888,0.9881874,0.004103263,0.000020981592],"about_ca_topic_score_codex":0.00052587094,"about_ca_topic_score_gemma":0.00034101712,"teacher_disagreement_score":0.005023938,"about_ca_system_score_codex":0.000768917,"about_ca_system_score_gemma":0.0003839797,"threshold_uncertainty_score":0.016806722},"labels":[{"model":"gemma","categories":[],"domain":null,"study_design":"theoretical_or_conceptual","genre":"empirical","about_ca_system":false,"about_ca_topic":false,"confidence":"low"},{"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":"W4408384329","doi":"10.1112/jlms.70102","title":"Hurwitz numbers for reflection groups III: Uniform formulae","year":2025,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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; Simons Foundation; National Science Foundation","keywords":"Reflection (computer programming); Mathematics; Group (periodic table); Physics; Computer science; Programming language; Quantum mechanics","score_opus":0.026465476515517925,"score_gpt":0.3403320627585367,"score_spread":0.3138665862430188,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408384329","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42986286,0.001675848,0.35901386,0.0016924925,0.00084504974,0.00015958404,0.00033266185,0.00092303107,0.2054946],"genre_scores_gemma":[0.94838333,0.0005032417,0.037275318,0.00026087143,0.00054148387,0.00014570283,0.00013415811,0.00011846392,0.012637441],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886215,0.00022722839,0.00008474297,0.00021862576,0.0003925503,0.00021463263],"domain_scores_gemma":[0.998248,0.000849498,0.00019723599,0.00030303377,0.00022308517,0.0001791687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022573145,0.00068890443,0.0005915854,0.0023770086,0.001038777,0.0029009061,0.0013868766,0.00086525484,0.008068797],"category_scores_gemma":[0.005892281,0.0003630577,0.00057281734,0.000990782,0.0042639887,0.0049483213,0.002876456,0.0021706158,0.0009245886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023527453,0.000010532851,0.0002799901,0.000029165623,0.000003855452,0.00006064324,0.00020366198,0.00036505374,0.0014503003,0.989461,0.00067374605,0.0074385926],"study_design_scores_gemma":[0.000014198995,0.000047605077,0.00059802603,0.00003052553,0.000008637995,0.0001312169,0.0001223727,0.0051923897,0.0024390635,0.9874856,0.0039129513,0.000017361568],"about_ca_topic_score_codex":0.0003431225,"about_ca_topic_score_gemma":0.0003200303,"teacher_disagreement_score":0.008068797,"about_ca_system_score_codex":0.0013812444,"about_ca_system_score_gemma":0.00030559298,"threshold_uncertainty_score":0.026992798},"labels":[],"label_agreement":null},{"id":"W4408492767","doi":"10.61091/jcmcc124-14","title":"On the theorems of Frobenius, Zorn and Hopf’s commutativity","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Advanced Algebra and Geometry","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":"Commutative property; Mathematics; Pure mathematics; Algebra over a field","score_opus":0.0160360977147416,"score_gpt":0.28935310866126407,"score_spread":0.2733170109465225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408492767","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0992315,0.0187119,0.30211776,0.010090291,0.0022300053,0.00009510347,0.0008002374,0.00042650758,0.5662967],"genre_scores_gemma":[0.83935344,0.010062063,0.06894119,0.003021388,0.0028167658,0.00027006736,0.00050747086,0.00030500724,0.07472263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937505,0.00016985516,0.000039258168,0.00014034122,0.00018016648,0.000095356096],"domain_scores_gemma":[0.9989624,0.00052594295,0.00007195447,0.0001280422,0.00023793247,0.00007373433],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022531408,0.00057214533,0.00063040445,0.0017149942,0.0018556418,0.0019690336,0.0007980045,0.0007477325,0.008335881],"category_scores_gemma":[0.0027381126,0.0003119709,0.0008493561,0.0013033623,0.0054837693,0.0056150025,0.0020619014,0.0020204508,0.0013131052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000061107903,0.0000026758592,0.000029573546,0.000013760914,0.0000021144263,0.000013620441,0.000102271355,0.00011193803,0.000099577315,0.99615806,0.0010108135,0.0024494594],"study_design_scores_gemma":[0.000005883241,0.0000064059245,0.00011156506,0.000010035121,0.0000025366132,0.00003732819,0.000037266196,0.0004507432,0.00012105008,0.98899746,0.0102142645,0.0000055635046],"about_ca_topic_score_codex":0.0027740889,"about_ca_topic_score_gemma":0.0016434877,"teacher_disagreement_score":0.008335881,"about_ca_system_score_codex":0.0018931095,"about_ca_system_score_gemma":0.0011171487,"threshold_uncertainty_score":0.027886331},"labels":[],"label_agreement":null},{"id":"W4408673561","doi":"10.4171/jems/1601","title":"Complex $K$-theory of moduli spaces of Higgs bundles","year":2025,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Advanced Algebra and Geometry","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; Moduli space; Higgs boson; Pure mathematics; Moduli; Mathematical analysis; Algebra over a field; Particle physics; Physics","score_opus":0.04022655796819469,"score_gpt":0.3060568602210798,"score_spread":0.2658303022528851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408673561","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7213129,0.001061908,0.14668053,0.0018924511,0.0004008342,0.00007812605,0.00034167853,0.0002515211,0.12797996],"genre_scores_gemma":[0.9742535,0.0003629822,0.012422304,0.00020490255,0.00012523959,0.000039926952,0.00013546395,0.000045784556,0.012409859],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999653,0.00007155918,0.000022356975,0.00008915872,0.00008487876,0.000079058154],"domain_scores_gemma":[0.99963987,0.00006921978,0.00007589324,0.000053541975,0.0000616242,0.000099863915],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005673554,0.000583973,0.00048972707,0.0023517155,0.0011917317,0.002577028,0.0007425005,0.0007906224,0.0070848735],"category_scores_gemma":[0.0008567027,0.00023276715,0.00061680225,0.0008518967,0.0024876536,0.003904753,0.0020636546,0.0012676173,0.0006751527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000082643555,0.000009427988,0.00025097426,0.000022081407,0.000005279652,0.00009405039,0.00020039376,0.00036900697,0.00095778186,0.99616516,0.00022903546,0.0016885883],"study_design_scores_gemma":[0.000014043986,0.00003239435,0.00094600493,0.000020932466,0.000008926764,0.00033189947,0.0002460547,0.0065837037,0.001616635,0.98606455,0.004117555,0.00001718524],"about_ca_topic_score_codex":0.0006424127,"about_ca_topic_score_gemma":0.0004246028,"teacher_disagreement_score":0.0070848735,"about_ca_system_score_codex":0.0011418745,"about_ca_system_score_gemma":0.00043276738,"threshold_uncertainty_score":0.02370125},"labels":[],"label_agreement":null},{"id":"W4408730766","doi":"10.1007/s11139-025-01070-1","title":"On Hecke eigenvalues of Ikeda lifts","year":2025,"lang":"de","type":"article","venue":"The Ramanujan Journal","topic":"Advanced Algebra and Geometry","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":"Eigenvalues and eigenvectors; Mathematics; Pure mathematics; Physics; Quantum mechanics","score_opus":0.019398081733629214,"score_gpt":0.3209057508394573,"score_spread":0.3015076691058281,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408730766","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75666904,0.0016740056,0.05666497,0.0029206327,0.0017240979,0.00008684208,0.00029901403,0.0004858385,0.17947549],"genre_scores_gemma":[0.96053326,0.0007789361,0.006543209,0.00042396816,0.0010317666,0.00005229943,0.00017478541,0.0002185745,0.030243179],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986131,0.0003027159,0.0000612211,0.00019565676,0.00044538302,0.00038193158],"domain_scores_gemma":[0.9979399,0.00065429386,0.00027598575,0.00025549936,0.00026661338,0.0006076868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017601646,0.0018391913,0.0016194029,0.0061799437,0.0045594475,0.0050043045,0.0020617368,0.002093437,0.012859503],"category_scores_gemma":[0.004790689,0.0012296131,0.0013503202,0.002509639,0.0059424243,0.0063765547,0.003956307,0.0052241436,0.0024329985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007448027,0.000060208204,0.00023646902,0.000033692093,0.000009464462,0.00018562844,0.00053943193,0.000866479,0.0008911278,0.99307656,0.0009182261,0.0031082064],"study_design_scores_gemma":[0.000025035972,0.00002165526,0.00032969494,0.000022820679,0.000006956443,0.000109017965,0.00019289291,0.0034760365,0.0002949673,0.99451137,0.0009833683,0.000026155429],"about_ca_topic_score_codex":0.00169996,"about_ca_topic_score_gemma":0.0015680447,"teacher_disagreement_score":0.012859503,"about_ca_system_score_codex":0.0020542224,"about_ca_system_score_gemma":0.0008655591,"threshold_uncertainty_score":0.043019295},"labels":[],"label_agreement":null},{"id":"W4408920109","doi":"10.1515/forum-2024-0136","title":"Spherical Shalika models on PGU <sub>2,2</sub> and the theta correspondence for (PGSp <sub>4</sub> , PGU <sub>2,2</sub> )","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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":"European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Physics; Combinatorics; Algebra over a field; Pure mathematics","score_opus":0.0223274697384916,"score_gpt":0.28157509125839186,"score_spread":0.2592476215199003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408920109","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8517571,0.0006169401,0.032612484,0.0018111567,0.0003071681,0.000049697184,0.00019745216,0.0006072319,0.11204078],"genre_scores_gemma":[0.98598653,0.00013606001,0.0023111075,0.00014471155,0.00010072855,0.000033605542,0.00011342985,0.00009561256,0.011078181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949324,0.00011516663,0.000019983341,0.00006449115,0.00012621359,0.00018088025],"domain_scores_gemma":[0.99946517,0.00009696093,0.00010376747,0.000077305034,0.00007112781,0.00018571326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006187582,0.00087489566,0.000805968,0.0014970894,0.0019445578,0.0030273024,0.0011045545,0.0012945944,0.008529075],"category_scores_gemma":[0.0012863256,0.00038965716,0.0010120677,0.0007969429,0.00244912,0.003592295,0.0020405233,0.0018061452,0.0015028049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039441304,0.000020164502,0.00017541868,0.000014242877,0.00000522879,0.000117058145,0.00019163977,0.0013331693,0.0008538875,0.9952825,0.0007365005,0.0012306791],"study_design_scores_gemma":[0.000037583228,0.000045037814,0.00038015973,0.000021583262,0.0000098281935,0.00019162722,0.0004417987,0.017105624,0.0008442501,0.9783201,0.002575365,0.000027035074],"about_ca_topic_score_codex":0.002125396,"about_ca_topic_score_gemma":0.0016657392,"teacher_disagreement_score":0.008529075,"about_ca_system_score_codex":0.0018430162,"about_ca_system_score_gemma":0.00082904124,"threshold_uncertainty_score":0.028532565},"labels":[],"label_agreement":null},{"id":"W4409120153","doi":"10.2140/ent.2025.4.67","title":"The Heegner–Stark theorem and Stark–Heegnerpoints","year":2025,"lang":"en","type":"article","venue":"Essential Number Theory","topic":"Advanced Algebra and Geometry","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":"","keywords":"Stark effect; Mathematics; Physics; Quantum mechanics; Spectral line","score_opus":0.006414895305664711,"score_gpt":0.30118009615524965,"score_spread":0.29476520084958496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409120153","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29134843,0.008494386,0.24138352,0.0077302493,0.0014441978,0.000051827534,0.0005293007,0.00028834568,0.4487298],"genre_scores_gemma":[0.94458413,0.0017747275,0.0182389,0.0007172798,0.0008132164,0.000056036846,0.00014828905,0.00007491054,0.033592463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996111,0.000072041235,0.000016211143,0.000094924086,0.00013567973,0.00007007171],"domain_scores_gemma":[0.9993556,0.00023431085,0.000098148055,0.00008128592,0.00012482786,0.00010580573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008120915,0.00035728168,0.00044965223,0.0014435084,0.0010819255,0.0017454588,0.0007260438,0.0006540243,0.0065693264],"category_scores_gemma":[0.002103349,0.00016075782,0.0004289518,0.00070413784,0.0037670473,0.0032546609,0.0020703212,0.0014873163,0.0008596227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041275316,0.0000018824908,0.000051504256,0.000007744984,0.0000014529292,0.000013554089,0.000026235699,0.0001262032,0.00017570272,0.9970385,0.00055475335,0.001998358],"study_design_scores_gemma":[0.000003372791,0.000004721544,0.0001722098,0.000005141671,9.593022e-7,0.00003928229,0.00002384508,0.0005429465,0.00014941143,0.99566513,0.003388628,0.0000043097325],"about_ca_topic_score_codex":0.0005349052,"about_ca_topic_score_gemma":0.00034377965,"teacher_disagreement_score":0.0065693264,"about_ca_system_score_codex":0.0008798636,"about_ca_system_score_gemma":0.0003822121,"threshold_uncertainty_score":0.02197659},"labels":[],"label_agreement":null},{"id":"W4409289430","doi":"10.1007/s00220-025-05272-y","title":"A Heterotic Hermitian–Yang–Mills Equivalence","year":2025,"lang":"lv","type":"article","venue":"Communications in Mathematical Physics","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Heterotic string theory; Hermitian matrix; Mathematics; Complex system; Equivalence (formal languages); Pure mathematics; Mathematical physics; Algebra over a field; Physics; Computer science","score_opus":0.07706656364271458,"score_gpt":0.39623530095716636,"score_spread":0.3191687373144518,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409289430","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4488308,0.00079422817,0.03574186,0.0040562013,0.00091562816,0.000059572907,0.00020543706,0.00049522636,0.508901],"genre_scores_gemma":[0.9637605,0.00019785037,0.005082473,0.00064788706,0.00038655847,0.00003008765,0.00013206954,0.00009912686,0.029663397],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995912,0.000088285036,0.000019484358,0.000083300045,0.0001303823,0.00008738957],"domain_scores_gemma":[0.99974936,0.00003239575,0.00003097477,0.000059101592,0.000054242115,0.00007391864],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005932469,0.00044025193,0.0006243093,0.0010528648,0.002095169,0.0020196452,0.00067733886,0.0011010214,0.014567511],"category_scores_gemma":[0.00068471604,0.00023364142,0.00067510095,0.0005152917,0.0024219377,0.0024395217,0.0016129783,0.0015068479,0.0014492342],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011356301,0.000016553997,0.000080503545,0.000010250134,0.0000036941012,0.00008650999,0.00007227311,0.00035885235,0.0005453497,0.996083,0.0011359579,0.0015955596],"study_design_scores_gemma":[0.000019837968,0.000020997917,0.00032736218,0.0000075491926,0.000003527703,0.0001357823,0.0000881941,0.004875388,0.00025539382,0.99166685,0.0025917187,0.0000073355413],"about_ca_topic_score_codex":0.0012707786,"about_ca_topic_score_gemma":0.00088750257,"teacher_disagreement_score":0.014567511,"about_ca_system_score_codex":0.0010296361,"about_ca_system_score_gemma":0.00052463985,"threshold_uncertainty_score":0.048733234},"labels":[],"label_agreement":null},{"id":"W4409766807","doi":"10.37236/13350","title":"The Skew Immaculate Hecke Poset and 0-Hecke Modules","year":2025,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Algebra and Geometry","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Skew; Mathematics; Partially ordered set; Pure mathematics; Combinatorics; Computer science","score_opus":0.007580599807239986,"score_gpt":0.2903537674245291,"score_spread":0.28277316761728916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409766807","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37285078,0.0010744411,0.44356668,0.00091993756,0.000325231,0.00018465391,0.0007017691,0.00036405982,0.18001254],"genre_scores_gemma":[0.90327615,0.0009670384,0.05860839,0.00039910353,0.0005042275,0.00011994798,0.000569244,0.00013986077,0.035415992],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992661,0.00016135401,0.000042017073,0.00017083617,0.00022071817,0.00013899017],"domain_scores_gemma":[0.9989849,0.00026413382,0.0002120467,0.00017166087,0.0001631654,0.00020403827],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094732747,0.0006116005,0.0003724026,0.0012117011,0.0012275664,0.0020206913,0.000688801,0.00046192497,0.011321907],"category_scores_gemma":[0.0017494431,0.00037729696,0.00085981446,0.00092692603,0.0031961175,0.0053628716,0.0019811606,0.0013462257,0.0013412519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010756983,0.000011584368,0.00023982009,0.0000146081375,0.0000025941367,0.00007391817,0.00016022868,0.00057719083,0.0008464529,0.9938491,0.00030009836,0.0039135953],"study_design_scores_gemma":[0.0000052656064,0.000026623571,0.00041544682,0.00001001657,0.000004984905,0.000262504,0.00010847629,0.0024707746,0.0023891279,0.9876928,0.006593955,0.000020215473],"about_ca_topic_score_codex":0.00036250244,"about_ca_topic_score_gemma":0.00038730385,"teacher_disagreement_score":0.011321907,"about_ca_system_score_codex":0.00046745036,"about_ca_system_score_gemma":0.0006863265,"threshold_uncertainty_score":0.037875533},"labels":[],"label_agreement":null},{"id":"W4409837470","doi":"10.1007/s12220-025-02017-0","title":"Levi-Flats in $$\\mathbb{C}\\mathbb{P}^n$$: A Survey for Nonexperts","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Advanced Algebra and Geometry","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","keywords":"Differential geometry; Fourier analysis; Mathematics; Combinatorics; Geometry; Fourier transform; Mathematical analysis","score_opus":0.056488527823507974,"score_gpt":0.4006769327499229,"score_spread":0.3441884049264149,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409837470","genre_codex":"empirical","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3885802,0.08597939,0.14406465,0.016304208,0.0014138584,0.000095260395,0.0011143895,0.000613068,0.36183497],"genre_scores_gemma":[0.86380136,0.036021695,0.029082732,0.0021411022,0.0035668928,0.000093887225,0.0010285111,0.0003669172,0.063896984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992067,0.00017434299,0.000054892746,0.00021778852,0.00020359042,0.00014270883],"domain_scores_gemma":[0.9986298,0.00056234526,0.0001449178,0.00014850462,0.00028520977,0.00022922603],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015098088,0.0009459511,0.0014178008,0.005237942,0.0032371322,0.0039568036,0.0016909917,0.0018016814,0.011678332],"category_scores_gemma":[0.002630813,0.00086672103,0.00096593954,0.0039781947,0.0054483134,0.009159235,0.0030831965,0.0035449653,0.0017128673],"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":[0.000014779266,0.000022386004,0.00035383782,0.000088734814,0.0000067238243,0.000054060256,0.0002425818,0.00022619458,0.00014876293,0.989431,0.0016619803,0.0077489023],"study_design_scores_gemma":[0.000008507396,0.000024095842,0.0007524944,0.000047139587,0.000007030047,0.00018976575,0.00011798296,0.0012852052,0.00015995966,0.98563623,0.011756593,0.000014962475],"about_ca_topic_score_codex":0.0018065666,"about_ca_topic_score_gemma":0.0014578403,"teacher_disagreement_score":0.011678332,"about_ca_system_score_codex":0.0021152927,"about_ca_system_score_gemma":0.00086865365,"threshold_uncertainty_score":0.039067924},"labels":[],"label_agreement":null},{"id":"W4410232013","doi":"10.1080/00927872.2025.2498050","title":"Arithmetic invariant theory of reductive groups","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Algebra and Geometry","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; Invariant (physics); Invariant theory; Pure mathematics; Algebra over a field; Arithmetic; Discrete mathematics","score_opus":0.05533970256820236,"score_gpt":0.35842173722855364,"score_spread":0.3030820346603513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410232013","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47866762,0.009824888,0.08516831,0.006878471,0.0008705972,0.000052037514,0.00046259913,0.00035394402,0.41772142],"genre_scores_gemma":[0.97364366,0.0012579178,0.004618323,0.00028916358,0.00088306854,0.000017327293,0.0001647276,0.000024436005,0.019101385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959093,0.000100822544,0.000014936124,0.0000760772,0.0001482824,0.000069093585],"domain_scores_gemma":[0.99968076,0.00009296612,0.00004746501,0.000049076538,0.00007510775,0.000054696226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048043072,0.00034194463,0.00029846167,0.0011437127,0.000615339,0.0017993202,0.0005019772,0.0003147424,0.005236166],"category_scores_gemma":[0.00071070495,0.0001187121,0.0002501283,0.00057266635,0.0024382097,0.002558918,0.000945098,0.0010348413,0.000619288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005069481,0.0000051047514,0.00006333423,0.000017889522,0.000002202871,0.00002197228,0.00014042524,0.0003036595,0.00040238036,0.9968618,0.0004280554,0.0017480883],"study_design_scores_gemma":[0.000008713419,0.000020283242,0.00028322806,0.00001076097,0.0000039896363,0.00007655742,0.00011047854,0.0016191844,0.0005310519,0.9846636,0.012666416,0.000005706259],"about_ca_topic_score_codex":0.00042543176,"about_ca_topic_score_gemma":0.0002092822,"teacher_disagreement_score":0.005236166,"about_ca_system_score_codex":0.0010269172,"about_ca_system_score_gemma":0.00034644877,"threshold_uncertainty_score":0.017516792},"labels":[],"label_agreement":null},{"id":"W4410580193","doi":"10.1007/s00233-025-10529-y","title":"A universal characterization of the shifted plactic monoid","year":2025,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Algebra and Geometry","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; Characterization (materials science); Monoid; Algebra over a field; Free monoid; Pure mathematics; Syntactic monoid; Arithmetic; Nanotechnology","score_opus":0.008531171757267322,"score_gpt":0.2590964392079409,"score_spread":0.2505652674506736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410580193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5280684,0.0018371982,0.25473022,0.0025333082,0.00079545344,0.00008852931,0.00064441684,0.000591848,0.21071054],"genre_scores_gemma":[0.9406803,0.0006050505,0.01869656,0.00046786744,0.0005674266,0.000060003706,0.00033397495,0.00012856616,0.038460255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993073,0.00008420356,0.000040742652,0.00020531961,0.00020154587,0.0001609112],"domain_scores_gemma":[0.9992173,0.00015746329,0.000094186624,0.00009788238,0.00021112594,0.00022207174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075718865,0.0005299404,0.0007970979,0.0025089262,0.0023775739,0.002659984,0.0008789683,0.0008660722,0.009541371],"category_scores_gemma":[0.0012438904,0.0004423715,0.0006452888,0.0013358442,0.0029713872,0.0052001216,0.0031251293,0.0022456504,0.0011251126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016069354,0.0000071388026,0.000095092306,0.0000135461105,0.0000026087178,0.000052243562,0.00018454071,0.00007529584,0.0009256733,0.9959519,0.0003311434,0.0023448656],"study_design_scores_gemma":[0.000017215474,0.000039301605,0.0004969342,0.000018497534,0.000013304813,0.00034851301,0.00024414153,0.0020613594,0.001404253,0.9819403,0.013392992,0.00002315365],"about_ca_topic_score_codex":0.0010390823,"about_ca_topic_score_gemma":0.0006985422,"teacher_disagreement_score":0.009541371,"about_ca_system_score_codex":0.0013537664,"about_ca_system_score_gemma":0.0007533456,"threshold_uncertainty_score":0.031919062},"labels":[],"label_agreement":null},{"id":"W4410593328","doi":"10.1007/s00208-025-03171-0","title":"The chord conjecture for conormal bundles","year":2025,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","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; Université du Québec à Montréal","funders":"","keywords":"Chord (peer-to-peer); Mathematics; Conjecture; Pure mathematics; Computer science","score_opus":0.032743394564865136,"score_gpt":0.36280145932926017,"score_spread":0.33005806476439503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410593328","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4150468,0.0042748014,0.06404652,0.022868657,0.0015508756,0.000056932127,0.0008008853,0.0005903274,0.4907642],"genre_scores_gemma":[0.96861947,0.001373396,0.005377735,0.000859006,0.0009196,0.000027546947,0.000379239,0.00009045226,0.022353519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991904,0.00017395617,0.00003135982,0.00018070494,0.0002599393,0.00016376366],"domain_scores_gemma":[0.99776435,0.0010037028,0.00022550265,0.00043347967,0.00029504724,0.00027783948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013018164,0.0004665629,0.00084633223,0.0009976921,0.0021110415,0.0038912003,0.00088560313,0.0016852146,0.007710846],"category_scores_gemma":[0.0049867444,0.00031293966,0.0005586194,0.0012739337,0.005839463,0.010251113,0.0024195793,0.0037616915,0.0011601417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003378229,0.000007784774,0.00029644454,0.000023120869,0.0000031653985,0.000039166618,0.00011097879,0.00022031486,0.00013530349,0.99502975,0.0016561154,0.00244408],"study_design_scores_gemma":[0.000009395402,0.000003324243,0.00017663342,0.000005003966,0.0000019835313,0.00003139678,0.000049502105,0.00060723734,0.000064101485,0.9962084,0.0028397487,0.000003294739],"about_ca_topic_score_codex":0.0036435036,"about_ca_topic_score_gemma":0.002107327,"teacher_disagreement_score":0.007710846,"about_ca_system_score_codex":0.002542574,"about_ca_system_score_gemma":0.0009171561,"threshold_uncertainty_score":0.02579534},"labels":[],"label_agreement":null},{"id":"W4410897839","doi":"10.1080/10586458.2025.2505518","title":"Parabolically Induced Representations of <i>p</i> -adic <i>G</i> <sub>2</sub> Distinguished by SO <sub>4</sub> , I","year":2025,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Advanced Algebra and Geometry","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":"Future Earth","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Combinatorics; Pure mathematics; Geometry","score_opus":0.017573229357119944,"score_gpt":0.3182480681336561,"score_spread":0.3006748387765361,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410897839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9436855,0.000080685204,0.019367114,0.00026340957,0.000100116784,0.00003469387,0.00013631136,0.0001195017,0.036212746],"genre_scores_gemma":[0.98462164,0.00007793425,0.0049071936,0.000076328026,0.00004775315,0.000022104461,0.00019250486,0.00005723016,0.009997245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970895,0.000037187725,0.000013181031,0.00004897543,0.000083586085,0.00010814089],"domain_scores_gemma":[0.99978393,0.000019278825,0.000053956097,0.000046002657,0.00002455521,0.0000722427],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002378293,0.00066422886,0.00025267675,0.00076731725,0.0008297643,0.0014951676,0.0005773104,0.0005221186,0.0046477276],"category_scores_gemma":[0.00039166748,0.00020391478,0.0008195576,0.0004976715,0.0017566227,0.0015031906,0.0014891188,0.0012142406,0.00059365184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012114365,0.00006396315,0.0008946998,0.000037668466,0.000013074484,0.00050671236,0.0011080463,0.0015514765,0.023682427,0.9659927,0.0005138125,0.0055143023],"study_design_scores_gemma":[0.00008753166,0.00034746758,0.0026822253,0.00003360977,0.000024747951,0.0011388471,0.0013141289,0.008927349,0.02894875,0.9464811,0.00994958,0.000064633954],"about_ca_topic_score_codex":0.00035576982,"about_ca_topic_score_gemma":0.0003346488,"teacher_disagreement_score":0.0046477276,"about_ca_system_score_codex":0.00065462734,"about_ca_system_score_gemma":0.00046801008,"threshold_uncertainty_score":0.015548229},"labels":[],"label_agreement":null},{"id":"W4411126522","doi":"10.1112/blms.70108","title":"Thin hyperbolic reflection groups","year":2025,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Advanced Algebra and Geometry","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; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; Reflection (computer programming); Pure mathematics; Computer science","score_opus":0.020049700531747514,"score_gpt":0.2989228426195808,"score_spread":0.27887314208783326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411126522","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8771054,0.00029107806,0.08993275,0.00020768635,0.0000433721,0.00005273189,0.0001385376,0.00016895798,0.03205948],"genre_scores_gemma":[0.976901,0.0001429149,0.012941475,0.000053621818,0.00003465348,0.00003745045,0.00023723514,0.00003632108,0.009615298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996075,0.0000694675,0.000027832579,0.000086169974,0.00012654117,0.00008247559],"domain_scores_gemma":[0.9994374,0.000109288616,0.00015310437,0.00011444275,0.00008684578,0.00009890792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044122437,0.00031796438,0.00032237163,0.0007432937,0.0004899711,0.0011926447,0.00045586028,0.00030798875,0.0039354763],"category_scores_gemma":[0.0010578844,0.00024346789,0.00038282052,0.00033276126,0.001650894,0.001620131,0.0014216257,0.0008381714,0.00053635356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015676724,0.000040507643,0.0033013108,0.00007226063,0.000028248027,0.0005275945,0.0012709487,0.0046765534,0.0204478,0.9517379,0.0008249051,0.016915288],"study_design_scores_gemma":[0.0000968135,0.0002779848,0.0029402364,0.000060609826,0.000040061033,0.0012285347,0.0018603639,0.027478805,0.024022996,0.9238372,0.018113783,0.000042608724],"about_ca_topic_score_codex":0.00044653495,"about_ca_topic_score_gemma":0.0002543479,"teacher_disagreement_score":0.0039354763,"about_ca_system_score_codex":0.00038118887,"about_ca_system_score_gemma":0.00029836412,"threshold_uncertainty_score":0.013165534},"labels":[],"label_agreement":null},{"id":"W4411200937","doi":"10.1016/j.jsc.2025.102473","title":"How to generate all possible rational Wilf–Zeilberger forms?","year":2025,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Advanced Algebra and Geometry","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 Anesthesiologists' Society; National Key Research and Development Program of China; Youth Innovation Promotion Association; Austrian Science Fund; Chinese Academy of Sciences; National Natural Science Foundation of China","keywords":"Mathematics; Algebra over a field; Arithmetic; Discrete mathematics; Pure mathematics","score_opus":0.026971046158159394,"score_gpt":0.3336077565991802,"score_spread":0.3066367104410208,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411200937","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41288307,0.0011183277,0.45758787,0.0043251733,0.0004740561,0.0001539661,0.00035713948,0.000495801,0.12260463],"genre_scores_gemma":[0.8948057,0.0006215092,0.086482614,0.0005059539,0.0001755073,0.00010377797,0.0002572224,0.0002653389,0.016782355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995073,0.00010426119,0.000028446206,0.00009439357,0.00016683135,0.000098689256],"domain_scores_gemma":[0.9995247,0.00014580741,0.000069855894,0.00010897167,0.00008613523,0.000064497974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006883971,0.00052388856,0.00046004224,0.0009384531,0.0011232081,0.0019843613,0.0006874383,0.00089925964,0.0080497945],"category_scores_gemma":[0.0031439373,0.00034369412,0.00065415434,0.0005473796,0.0022543557,0.004959957,0.0014219027,0.0016378709,0.0018158021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017029217,0.000011423589,0.0001901745,0.000027267683,0.000004268093,0.00007133189,0.00014605162,0.0008230018,0.0010763531,0.9863359,0.00093787664,0.010359378],"study_design_scores_gemma":[0.000007697362,0.000011926045,0.00006792577,0.0000148737445,0.000004193457,0.00015995846,0.00010088425,0.0026909716,0.0012368133,0.991318,0.004376121,0.000010575901],"about_ca_topic_score_codex":0.00018190934,"about_ca_topic_score_gemma":0.00029372884,"teacher_disagreement_score":0.0080497945,"about_ca_system_score_codex":0.0004297403,"about_ca_system_score_gemma":0.00047230348,"threshold_uncertainty_score":0.0269292},"labels":[],"label_agreement":null},{"id":"W4411567581","doi":"10.5802/jtnb.1319","title":"A mod- <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math> metaplectic Montréal functor","year":2025,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","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":"Deutsche Forschungsgemeinschaft","keywords":"Medicine","score_opus":0.016646448130404057,"score_gpt":0.2651026008853314,"score_spread":0.24845615275492733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411567581","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.048920322,0.0007851459,0.6731468,0.00346066,0.0016440806,0.00021744717,0.0026766122,0.009009862,0.26013905],"genre_scores_gemma":[0.5255435,0.001167112,0.22944115,0.0018264463,0.00085474475,0.00039056243,0.0058726985,0.0047728466,0.23013097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998982,0.00015913614,0.00005661191,0.00024189279,0.0003374291,0.0002230043],"domain_scores_gemma":[0.99909616,0.00014144844,0.00006120184,0.00027032557,0.00029358454,0.00013732266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012037187,0.0008306998,0.00044270098,0.0018664836,0.0020085587,0.0027511665,0.0012129083,0.0008961936,0.026489614],"category_scores_gemma":[0.0013537691,0.0005448789,0.0014648952,0.0011501812,0.0023609148,0.005673512,0.004466694,0.0028469693,0.009575544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003383973,0.000040463907,0.00043583443,0.00008779367,0.000011043422,0.00018139284,0.000617995,0.0003863688,0.004187178,0.9506478,0.016704733,0.02666566],"study_design_scores_gemma":[0.000023038921,0.00008010169,0.0010381308,0.000077759185,0.000032109943,0.00061936205,0.00046092703,0.0036678875,0.01018878,0.4989648,0.48479006,0.000057072695],"about_ca_topic_score_codex":0.0018836735,"about_ca_topic_score_gemma":0.002046845,"teacher_disagreement_score":0.026489614,"about_ca_system_score_codex":0.0013464668,"about_ca_system_score_gemma":0.0011109806,"threshold_uncertainty_score":0.08861661},"labels":[],"label_agreement":null},{"id":"W4411666908","doi":"10.1007/s00209-025-03800-z","title":"Level lowering for GU(1,2)","year":2025,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","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; Combinatorics; Humanities","score_opus":0.050536482821179084,"score_gpt":0.3388800369885206,"score_spread":0.28834355416734153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411666908","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4036871,0.0019253143,0.12525292,0.013094584,0.0046160747,0.00024586424,0.00094969134,0.0032039937,0.4470245],"genre_scores_gemma":[0.83296216,0.00097089587,0.035852533,0.0046714884,0.0023665307,0.000436143,0.00082830456,0.0015698167,0.120342106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830973,0.00041798502,0.00006641542,0.00023381218,0.00035802668,0.0006141155],"domain_scores_gemma":[0.9988675,0.00021188898,0.00017171503,0.0001963055,0.00016624125,0.0003863585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013519279,0.0023272277,0.002707479,0.0053375773,0.0076800813,0.0057425774,0.00258426,0.0036123353,0.027684804],"category_scores_gemma":[0.0028018781,0.00092965417,0.001921728,0.0026223387,0.004813666,0.006234797,0.0049588676,0.005668271,0.0052584773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046211702,0.000026630549,0.000051412855,0.00003408029,0.0000065699273,0.000075948505,0.0001823556,0.00024763044,0.00058621133,0.99324566,0.0024044784,0.0030928736],"study_design_scores_gemma":[0.00001924379,0.000021199403,0.00011654247,0.000013956098,0.0000053728636,0.000077707875,0.00006362899,0.0018477897,0.00031292692,0.99488246,0.0026168923,0.000022305205],"about_ca_topic_score_codex":0.0024428454,"about_ca_topic_score_gemma":0.0024645787,"teacher_disagreement_score":0.027684804,"about_ca_system_score_codex":0.002765771,"about_ca_system_score_gemma":0.0016616716,"threshold_uncertainty_score":0.09261489},"labels":[],"label_agreement":null},{"id":"W4411825563","doi":"10.1112/s0010437x24007620","title":"Geometric local systems on the projective line minus four points","year":2025,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","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; Projective line; Projective test; Line (geometry); Pure mathematics; Projective space; Combinatorics; Pencil (optics); Algebra over a field; Geometry","score_opus":0.04857804519227762,"score_gpt":0.3174111778032806,"score_spread":0.268833132611003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411825563","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9440923,0.00006950711,0.021154204,0.00022101199,0.000030584077,0.000024936728,0.00005201068,0.00020094222,0.034154553],"genre_scores_gemma":[0.9875284,0.000030008443,0.003541125,0.000034330253,0.000023505068,0.000020479561,0.00004822182,0.00002681605,0.008747138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978274,0.000042077423,0.0000071912705,0.000039390125,0.00005089325,0.000077766956],"domain_scores_gemma":[0.999795,0.000024785697,0.000043007854,0.000028583474,0.000036758443,0.00007185617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022099941,0.00029614283,0.0003552655,0.00081419636,0.0012577908,0.0012434645,0.00046002385,0.00038042798,0.0086409915],"category_scores_gemma":[0.000417315,0.00020246198,0.0002829657,0.0003955088,0.0017902147,0.0013125445,0.0014735578,0.00059856666,0.00088254246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006868179,0.00003941337,0.0007841376,0.000024020686,0.0000067120936,0.00020909988,0.00032668677,0.00330333,0.004859395,0.98595434,0.00064720324,0.0037770353],"study_design_scores_gemma":[0.00018677306,0.0002911424,0.0029594437,0.00003558221,0.00002661299,0.00047198488,0.0010366045,0.043861616,0.013055698,0.92341757,0.01459531,0.00006158353],"about_ca_topic_score_codex":0.00091669965,"about_ca_topic_score_gemma":0.0010035296,"teacher_disagreement_score":0.0086409915,"about_ca_system_score_codex":0.0010178002,"about_ca_system_score_gemma":0.00032881994,"threshold_uncertainty_score":0.02890706},"labels":[],"label_agreement":null},{"id":"W4411969443","doi":"10.1016/j.jpaa.2025.108039","title":"Gelfand-Fuks cohomology of vector fields on algebraic varieties","year":2025,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Algebra and Geometry","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":"Mathematics; Cohomology; Algebraic number; Algebra over a field; Pure mathematics; Algebraic variety; Mathematics education; Mathematical analysis","score_opus":0.013659396464022368,"score_gpt":0.2792547189756758,"score_spread":0.2655953225116534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411969443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9034961,0.00075997907,0.066710815,0.00042672773,0.00011835435,0.000040618677,0.00024666882,0.00022078928,0.027980007],"genre_scores_gemma":[0.99055254,0.00019556645,0.00588097,0.00003167137,0.00008852552,0.000013116136,0.000113728216,0.000028590495,0.0030951381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997192,0.000047549205,0.000011689799,0.00004578802,0.00008736651,0.00008845269],"domain_scores_gemma":[0.99966216,0.00006700093,0.000057028155,0.000038238908,0.000058639787,0.00011685159],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042835702,0.00072647166,0.00052382186,0.0035080782,0.0008929461,0.0014650745,0.0006693431,0.0003897515,0.0041722585],"category_scores_gemma":[0.0011167992,0.00020544895,0.0005440291,0.0012312862,0.0018533849,0.0031215393,0.0014688883,0.0007301251,0.0004667017],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003360158,0.000042106774,0.003302349,0.0000793651,0.000021581849,0.00038528463,0.0007522748,0.008269028,0.0044291024,0.96914107,0.0009624682,0.012581886],"study_design_scores_gemma":[0.000022401535,0.00008791131,0.0066473614,0.000049093556,0.000022206314,0.0007301193,0.0005975178,0.058613047,0.004374163,0.92273074,0.0060703624,0.000055047916],"about_ca_topic_score_codex":0.0011387027,"about_ca_topic_score_gemma":0.00089241826,"teacher_disagreement_score":0.0041722585,"about_ca_system_score_codex":0.00096895214,"about_ca_system_score_gemma":0.00033225596,"threshold_uncertainty_score":0.01395762},"labels":[],"label_agreement":null},{"id":"W4412071566","doi":"10.1016/j.jnt.2025.05.017","title":"On p-adic modularity in the p-adic Heisenberg algebra","year":2025,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Modularity (biology); Algebra over a field; Pure mathematics; Heisenberg group","score_opus":0.018445707030175642,"score_gpt":0.33852310580436845,"score_spread":0.32007739877419283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412071566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79243773,0.00046209272,0.14954771,0.00058943016,0.00006994157,0.000048535025,0.00010181837,0.00016461473,0.05657812],"genre_scores_gemma":[0.98316795,0.00020758553,0.0112566585,0.00007586963,0.00007380347,0.000038728842,0.000046649475,0.00003694566,0.0050958744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953985,0.00011016748,0.000019078803,0.00010371537,0.00011978941,0.000107431486],"domain_scores_gemma":[0.9988576,0.0003813089,0.00018467325,0.00012770221,0.0001657533,0.0002829355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011961744,0.0005087114,0.00042308826,0.0014076473,0.001450778,0.0015347645,0.00076735456,0.0005430839,0.0027366322],"category_scores_gemma":[0.0026155806,0.00032088146,0.00066203554,0.0006812753,0.0041372105,0.003657474,0.0016740797,0.0012517906,0.00045666815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013626731,0.000011806388,0.00022433978,0.000013669501,0.0000022116096,0.00007266346,0.0002462392,0.00059804914,0.0009780054,0.9962237,0.000096849,0.0015188393],"study_design_scores_gemma":[0.000013178994,0.000033923738,0.00038372085,0.000014155834,0.000005258675,0.00018639276,0.00009373462,0.007842782,0.0012779197,0.9890575,0.0010804688,0.000011027982],"about_ca_topic_score_codex":0.00056714943,"about_ca_topic_score_gemma":0.00040944584,"teacher_disagreement_score":0.0027366322,"about_ca_system_score_codex":0.0011832026,"about_ca_system_score_gemma":0.00055648707,"threshold_uncertainty_score":0.009154916},"labels":[],"label_agreement":null},{"id":"W4412172455","doi":"10.1007/s40993-025-00649-3","title":"Restriction of modular forms on $$E_{7,3}$$ to $$Sp_6$$","year":2025,"lang":"en","type":"article","venue":"Research in Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Modular design; Computer science; Programming language","score_opus":0.10252909986322133,"score_gpt":0.49167584428144684,"score_spread":0.3891467444182255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412172455","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5617309,0.00028154269,0.062687576,0.0033534132,0.002229345,0.00022008375,0.0007599609,0.0009073457,0.3678298],"genre_scores_gemma":[0.9073563,0.00038070482,0.012108759,0.0010432417,0.0013353403,0.00019419685,0.0010270044,0.00094178907,0.07561268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984302,0.00030331552,0.000069513255,0.0002853236,0.00042460416,0.00048713057],"domain_scores_gemma":[0.99847955,0.00036478668,0.00023895007,0.00021313246,0.0003225357,0.00038097688],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010526668,0.0011846742,0.00074418035,0.002503418,0.0027578897,0.0026620163,0.0012982362,0.001003555,0.030115131],"category_scores_gemma":[0.0031161222,0.0005700788,0.0013561171,0.0011892845,0.0026137114,0.0031825004,0.0040472527,0.003855477,0.004851442],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015481768,0.00007645175,0.00027399242,0.000035377154,0.000020204872,0.00019341326,0.00028093517,0.0002533443,0.0034326208,0.9791955,0.0047116084,0.011371714],"study_design_scores_gemma":[0.000074544405,0.000064583415,0.001358561,0.000025890153,0.000028866445,0.00056172593,0.00023609982,0.001975044,0.0058209565,0.97331595,0.016492048,0.000045637884],"about_ca_topic_score_codex":0.0006985725,"about_ca_topic_score_gemma":0.0005856753,"teacher_disagreement_score":0.030115131,"about_ca_system_score_codex":0.0008700399,"about_ca_system_score_gemma":0.0008245379,"threshold_uncertainty_score":0.10074514},"labels":[],"label_agreement":null},{"id":"W4412232266","doi":"","title":"Branching laws for tensor products of unitary irreducible representations of PGL(2,R)","year":2023,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Unitary state; Branching (polymer chemistry); Tensor product; Tensor (intrinsic definition); Pure mathematics; Mathematics; Algebra over a field; Law; Chemistry; Political science","score_opus":0.10013058679256374,"score_gpt":0.3911076831406902,"score_spread":0.29097709634812646,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412232266","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81489885,0.00042373242,0.11671121,0.00059555843,0.00008659277,0.00006165767,0.00013362367,0.0003478269,0.066741],"genre_scores_gemma":[0.9748043,0.0003265697,0.014796722,0.00009959965,0.00011984465,0.000059105914,0.00013148885,0.00020231337,0.009460118],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945134,0.00009755403,0.000030363568,0.00009520572,0.00016386987,0.00016166043],"domain_scores_gemma":[0.99863344,0.0004072813,0.0003453016,0.00015060042,0.0001840534,0.00027930172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008896065,0.00062113703,0.00043790985,0.002630225,0.0015361309,0.002562863,0.0009332008,0.00080390007,0.008942653],"category_scores_gemma":[0.0027568971,0.00037536668,0.0009402382,0.0009143401,0.002563219,0.004470026,0.0013460802,0.0015882272,0.0008217961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021402146,0.000033081655,0.00044245817,0.0000172602,0.0000036565305,0.00030735479,0.00048233836,0.0008113045,0.0028183209,0.9917568,0.00035132855,0.0029546495],"study_design_scores_gemma":[0.000013276975,0.00003909908,0.00069162523,0.000022395592,0.000007018079,0.0003515749,0.00017022995,0.01956532,0.0020218352,0.97558343,0.0015159051,0.000018224946],"about_ca_topic_score_codex":0.0010118368,"about_ca_topic_score_gemma":0.0009452619,"teacher_disagreement_score":0.008942653,"about_ca_system_score_codex":0.001067346,"about_ca_system_score_gemma":0.00042033152,"threshold_uncertainty_score":0.029916167},"labels":[],"label_agreement":null},{"id":"W4412232324","doi":"","title":"Restricting representations of GL(3,R) to GL(2,R)","year":2023,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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; Computer science","score_opus":0.08456490573436036,"score_gpt":0.4142116278536251,"score_spread":0.3296467221192647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412232324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86593443,0.00022153057,0.09908395,0.00062531297,0.00010137149,0.00005087357,0.0000569701,0.000361035,0.033564545],"genre_scores_gemma":[0.97162,0.00030822025,0.022540616,0.0003429806,0.00006012185,0.000050546623,0.000081959006,0.00019435592,0.0048011187],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997472,0.000051867923,0.000008653967,0.00005313476,0.000052825548,0.000086244996],"domain_scores_gemma":[0.9995741,0.00009671207,0.00009381749,0.00010493632,0.000032503074,0.00009787551],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060987583,0.0005839919,0.0005499369,0.0006474085,0.0010173304,0.0012650725,0.00085634855,0.0007812194,0.0044665053],"category_scores_gemma":[0.0017340792,0.00020569023,0.00078656524,0.00051020976,0.0017206552,0.0019111453,0.0010347166,0.0013500095,0.0005882445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068169094,0.00008427913,0.00084265345,0.000055803997,0.000010239987,0.00059483945,0.00078242726,0.0059977337,0.024147227,0.95513535,0.0006582289,0.011623135],"study_design_scores_gemma":[0.00004404041,0.000101674705,0.0012098576,0.00004638,0.000012371957,0.0007034397,0.00039984347,0.042309947,0.0058561335,0.94603664,0.003244778,0.00003500232],"about_ca_topic_score_codex":0.001777668,"about_ca_topic_score_gemma":0.0016907398,"teacher_disagreement_score":0.0044665053,"about_ca_system_score_codex":0.00060648227,"about_ca_system_score_gemma":0.00050372386,"threshold_uncertainty_score":0.014941931},"labels":[],"label_agreement":null},{"id":"W4412301913","doi":"","title":"Mayrand, Maxence. Stratified hyperkähler spaces from semisimple Lie algebras. Transform. Groups 25 (2020), no. 1, 191--215.","year":2021,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Pure mathematics; Lie group; Mathematics; Algebra over a field; Geology","score_opus":0.021402604857089575,"score_gpt":0.2770922079565352,"score_spread":0.25568960309944566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412301913","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08712996,0.38154212,0.15047908,0.038150642,0.0083942935,0.00007555484,0.0037050943,0.0012048875,0.32931846],"genre_scores_gemma":[0.64982754,0.12891746,0.037921872,0.0018667044,0.0060485434,0.00016225179,0.0014868464,0.0004293344,0.17333955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998368,0.00003066857,0.000012692743,0.00003482762,0.00005782236,0.000027215037],"domain_scores_gemma":[0.9995962,0.00019137382,0.00003785155,0.00003320853,0.000096247255,0.00004506572],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041867734,0.00072555384,0.00079888524,0.0026047977,0.0026894596,0.0020215895,0.00067991903,0.0012852051,0.011135179],"category_scores_gemma":[0.0017262775,0.00059800496,0.0005650691,0.0019488911,0.0014387121,0.0057813236,0.0012182472,0.0028058593,0.00310863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015435304,0.00004999634,0.0004956449,0.00031437023,0.00004002676,0.000611865,0.0010244435,0.0007834684,0.0019175219,0.85963774,0.08951611,0.045454428],"study_design_scores_gemma":[0.000026748763,0.00004338541,0.0014741997,0.000071572824,0.000049780057,0.00072381366,0.00034405253,0.0009708201,0.0018435143,0.8359649,0.15844588,0.000041352087],"about_ca_topic_score_codex":0.00309286,"about_ca_topic_score_gemma":0.003922054,"teacher_disagreement_score":0.011135179,"about_ca_system_score_codex":0.0008684389,"about_ca_system_score_gemma":0.00050390227,"threshold_uncertainty_score":0.037250936},"labels":[],"label_agreement":null},{"id":"W4412303967","doi":"","title":"Kimura, Hironobu, Tseveennamjil, Damiran. Confluence of general Schlesinger systems and twistor theory. Hiroshima Math. J. 46 (2016), no. 3, 289--309.","year":2017,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Confluence; Twistor theory; Appendix; Mathematics; Calculus (dental); Mathematical physics; Pure mathematics; Geology; Computer science; Programming language; Medicine","score_opus":0.031132367742779117,"score_gpt":0.30731423840310773,"score_spread":0.2761818706603286,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412303967","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29013735,0.21281007,0.22804154,0.024992248,0.008103361,0.00017001928,0.0026289527,0.0018473758,0.23126914],"genre_scores_gemma":[0.82048994,0.045681436,0.05799391,0.0012629998,0.0033474227,0.0001993409,0.0015377657,0.00040488382,0.06908221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997831,0.00002840861,0.000022976483,0.000052213127,0.000053576157,0.00005971428],"domain_scores_gemma":[0.99924195,0.00018954033,0.00010071932,0.00015685402,0.0001885083,0.00012232567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004950565,0.00041051322,0.0007959438,0.001976406,0.0022902088,0.00183149,0.00079964346,0.0007662778,0.01674037],"category_scores_gemma":[0.0016839756,0.0007061243,0.0009886859,0.0021318914,0.001117781,0.0065939496,0.0022563974,0.001801996,0.003181564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039533165,0.00011730147,0.0026925092,0.0011994923,0.000120670404,0.0010576139,0.0021164785,0.0014605687,0.012786582,0.8240953,0.07069315,0.08326494],"study_design_scores_gemma":[0.00009234169,0.00014088713,0.0071752877,0.00014717497,0.00034018443,0.0013661039,0.0013665314,0.0032478883,0.011980861,0.8760122,0.09802427,0.00010621016],"about_ca_topic_score_codex":0.0012134267,"about_ca_topic_score_gemma":0.0029317972,"teacher_disagreement_score":0.01674037,"about_ca_system_score_codex":0.0011528647,"about_ca_system_score_gemma":0.00080154877,"threshold_uncertainty_score":0.05600214},"labels":[],"label_agreement":null},{"id":"W4412313656","doi":"","title":"Soldatenkov, Andrey. On the Hodge structures of compact hyperkähler manifolds. Math. Res. Lett. 28 (2021), no. 2, 623--635.","year":2022,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Pure mathematics; Mathematics","score_opus":0.03966069214661979,"score_gpt":0.2864840515170123,"score_spread":0.2468233593703925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412313656","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11895002,0.55844504,0.13349847,0.031512674,0.017713835,0.00010049382,0.005826713,0.0013082596,0.13264456],"genre_scores_gemma":[0.6690577,0.19209075,0.031391047,0.0025348733,0.006536936,0.0002011821,0.0037582808,0.0010924013,0.093336776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971896,0.000051909756,0.00003198366,0.00005605016,0.00008294143,0.0000581492],"domain_scores_gemma":[0.9993656,0.00022228631,0.000058649566,0.00007427121,0.00017871907,0.00010047494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005496295,0.00079249794,0.0015401219,0.0034403773,0.0025261538,0.001928597,0.0010925917,0.0013157498,0.007754154],"category_scores_gemma":[0.0014802819,0.00084653345,0.0010423487,0.0030461112,0.002650037,0.003813878,0.0021650738,0.0039702347,0.0047971406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00067405566,0.00023450445,0.0037040461,0.0011358181,0.00015786853,0.00095543,0.0014840827,0.0039441944,0.00642321,0.6999432,0.16061327,0.12073028],"study_design_scores_gemma":[0.00008283564,0.00016848922,0.007017075,0.0001978667,0.000091463975,0.0019406886,0.00055415876,0.002848706,0.0034713808,0.84435135,0.13917212,0.000103848644],"about_ca_topic_score_codex":0.0027070993,"about_ca_topic_score_gemma":0.0024298227,"teacher_disagreement_score":0.007754154,"about_ca_system_score_codex":0.0013061116,"about_ca_system_score_gemma":0.00065144175,"threshold_uncertainty_score":0.02594018},"labels":[],"label_agreement":null},{"id":"W4412602028","doi":"10.1063/5.0267858","title":"Torsors over moduli spaces of vector bundles over curves of fixed determinant","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","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":"","keywords":"Vector bundle; Moduli space; Mathematics; Moduli; Pure mathematics; Moduli of algebraic curves; Mathematical analysis; Algebra over a field; Physics","score_opus":0.02406190666209396,"score_gpt":0.3328757121375239,"score_spread":0.30881380547542997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412602028","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9363529,0.000794059,0.029741272,0.00047637403,0.00011391907,0.00007106772,0.00079460215,0.00032965743,0.031326007],"genre_scores_gemma":[0.9830016,0.0005755192,0.004401832,0.00008030234,0.00025083058,0.00008422727,0.000911343,0.0001088566,0.010585494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998816,0.0001272158,0.00008479629,0.00021418392,0.00036051296,0.00039728047],"domain_scores_gemma":[0.9986808,0.00019449959,0.00029816118,0.000107489934,0.00016953476,0.00054959784],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094388035,0.0011966622,0.00089054153,0.0067788307,0.0017643899,0.005767504,0.001028156,0.0009518217,0.00841745],"category_scores_gemma":[0.0018062382,0.0007553855,0.0009563699,0.0023406001,0.0030999384,0.005925564,0.003808879,0.0014710047,0.001101841],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016198008,0.00006990256,0.0026280521,0.000080251215,0.000054098688,0.0006169123,0.001010247,0.0018525745,0.0034348476,0.98070014,0.0008928008,0.008498059],"study_design_scores_gemma":[0.00011108968,0.00019976377,0.009445226,0.0001151619,0.00008360592,0.0014646089,0.0011658837,0.016182456,0.005133652,0.9572459,0.008750628,0.00010194882],"about_ca_topic_score_codex":0.00059905153,"about_ca_topic_score_gemma":0.0004235598,"teacher_disagreement_score":0.00841745,"about_ca_system_score_codex":0.0017336104,"about_ca_system_score_gemma":0.000661161,"threshold_uncertainty_score":0.028159201},"labels":[],"label_agreement":null},{"id":"W4412674569","doi":"10.2140/ent.2025.4.217","title":"Cohomology of Fuchsian groups and Fourier interpolation","year":2025,"lang":"en","type":"article","venue":"Essential Number Theory","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"McGill University; National Science Foundation","keywords":"Mathematics; Cohomology; Pure mathematics; Fourier transform; Interpolation (computer graphics); Algebra over a field; Mathematical analysis; Computer science; Artificial intelligence; Motion (physics)","score_opus":0.007366249980369892,"score_gpt":0.30860083975533853,"score_spread":0.30123458977496864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412674569","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44908386,0.003153976,0.31134403,0.005054506,0.0012336574,0.000057464993,0.00030933457,0.00030042528,0.22946276],"genre_scores_gemma":[0.9716778,0.0010136542,0.012641458,0.00024172312,0.00083933485,0.000025807243,0.000118721124,0.00004871367,0.013392843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996082,0.00008281938,0.000011927417,0.00005454001,0.00014617437,0.000096375814],"domain_scores_gemma":[0.99932146,0.0002786725,0.000096436415,0.00008228161,0.00011807492,0.000103012215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077178,0.00057386735,0.0004930132,0.0020782265,0.00091818575,0.0010268345,0.000693817,0.0005580774,0.00676536],"category_scores_gemma":[0.002138718,0.0001704752,0.0005992065,0.0009505316,0.002704886,0.004058686,0.0028934688,0.0018910554,0.00051984075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011939303,0.0000085072925,0.00021659413,0.000025707295,0.0000031702477,0.0000527313,0.0001625785,0.0004963284,0.0005841344,0.9933564,0.00046781966,0.0046140975],"study_design_scores_gemma":[0.000011486315,0.000033782544,0.0005942035,0.000019747586,0.0000052860155,0.00019841813,0.00009971108,0.003947096,0.0010640869,0.98682225,0.007190583,0.000013318249],"about_ca_topic_score_codex":0.00048956653,"about_ca_topic_score_gemma":0.00029312624,"teacher_disagreement_score":0.00676536,"about_ca_system_score_codex":0.00066565536,"about_ca_system_score_gemma":0.0003515408,"threshold_uncertainty_score":0.02263242},"labels":[],"label_agreement":null},{"id":"W4413184431","doi":"10.55016/ojs/cdm.v8i1.62128","title":"Quasi--Hermitian varieties in PG(r,q^2), q even","year":2013,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Algebra and Geometry","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":"Mathematics; Hermitian matrix; Combinatorics; Pure mathematics","score_opus":0.01733721951035055,"score_gpt":0.3240131942493804,"score_spread":0.30667597473902986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413184431","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6060058,0.003006886,0.15229385,0.0018577484,0.00093463133,0.00009356774,0.00046837755,0.00049711374,0.234842],"genre_scores_gemma":[0.9649142,0.00039916573,0.013206829,0.00018441674,0.00018987035,0.000023503066,0.00016096116,0.000060949413,0.020860031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997093,0.00009903271,0.000011805256,0.00005262262,0.00007403039,0.000053173757],"domain_scores_gemma":[0.9997205,0.00006791388,0.000052270636,0.00003607615,0.00004951188,0.00007375173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028067353,0.00041110162,0.0003073147,0.0009221951,0.000973502,0.0017605997,0.00037585062,0.00031198937,0.0055518122],"category_scores_gemma":[0.00044806287,0.00016747635,0.00025407184,0.0007025037,0.0017652981,0.0018393648,0.0010280195,0.0009962897,0.0005364597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021559455,0.0000039128417,0.00015305515,0.000016413165,0.0000024256724,0.000116071904,0.00015325144,0.0002487161,0.0009071063,0.99429965,0.00064249535,0.0034353256],"study_design_scores_gemma":[0.000031602052,0.00008689235,0.0016546823,0.00002189697,0.000007837708,0.00087729795,0.00036376552,0.004336351,0.0023497075,0.95963025,0.030606152,0.000033395776],"about_ca_topic_score_codex":0.0005002934,"about_ca_topic_score_gemma":0.00043556187,"teacher_disagreement_score":0.0055518122,"about_ca_system_score_codex":0.000391812,"about_ca_system_score_gemma":0.00021288247,"threshold_uncertainty_score":0.018572688},"labels":[],"label_agreement":null},{"id":"W4413315292","doi":"10.2140/gt.2025.29.2733","title":"Big monodromy for higher Prym representations","year":2025,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Monodromy; Mathematics; Pure mathematics; Algebra over a field","score_opus":0.05161539205138057,"score_gpt":0.38597858532214074,"score_spread":0.3343631932707602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413315292","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8933358,0.00040489266,0.032729533,0.00068825216,0.0001704856,0.000042962565,0.00011477812,0.0004668645,0.07204644],"genre_scores_gemma":[0.99031526,0.0001243379,0.0035535744,0.00006558956,0.000087847904,0.000020700998,0.000058867256,0.000062501225,0.0057112016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997875,0.000033222554,0.0000071190493,0.000045630117,0.000060768336,0.000065764914],"domain_scores_gemma":[0.9996668,0.000092943446,0.000051150037,0.000064009546,0.00002819337,0.00009689526],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004300417,0.00065362116,0.00043825025,0.0019783098,0.0009777788,0.0016653982,0.00049674,0.0006145997,0.00795686],"category_scores_gemma":[0.0012118465,0.00022677078,0.00048104912,0.0005046045,0.0016532715,0.0025670412,0.001837354,0.0010564885,0.0005811094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065254986,0.000038380454,0.0006799842,0.000037160997,0.0000059638814,0.00037818696,0.000440257,0.0011102904,0.003839631,0.986059,0.00066392653,0.0066819675],"study_design_scores_gemma":[0.000027429478,0.00006159308,0.0012380248,0.00002256948,0.000009412362,0.00038212026,0.00025821643,0.015262859,0.0024327629,0.97715807,0.0031327915,0.000014165827],"about_ca_topic_score_codex":0.0004556174,"about_ca_topic_score_gemma":0.0004268804,"teacher_disagreement_score":0.00795686,"about_ca_system_score_codex":0.0009072587,"about_ca_system_score_gemma":0.00027213956,"threshold_uncertainty_score":0.026618361},"labels":[],"label_agreement":null},{"id":"W4413637996","doi":"10.1007/jhep08(2025)194","title":"All loop scattering as a counting problem","year":2025,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Advanced Algebra and Geometry","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 du Québec à Montréal","funders":"Institut Périmètre de physique théorique; Institut Universitaire de France; Agence Nationale de la Recherche; Brown University; U.S. Department of Energy","keywords":"Physics; Loop (graph theory); Scattering; Particle physics; Quantum electrodynamics; Theoretical physics; Nuclear physics; Quantum mechanics; Combinatorics","score_opus":0.01596457793478241,"score_gpt":0.2846543996310174,"score_spread":0.268689821696235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413637996","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29451954,0.0015706755,0.43759644,0.011665628,0.0012597404,0.000104767685,0.00041620602,0.0008490363,0.25201806],"genre_scores_gemma":[0.9287401,0.0005320112,0.03948165,0.0010709711,0.0008149341,0.00010086588,0.00028472042,0.00036307666,0.028611558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802005,0.00053423236,0.000092041904,0.00028461104,0.0007793328,0.0002897082],"domain_scores_gemma":[0.9960089,0.0021533389,0.00036868406,0.00061374926,0.00058700243,0.0002683871],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019893404,0.00071066566,0.00088558876,0.0022737936,0.0028689955,0.004137961,0.0019052133,0.0025876532,0.011419292],"category_scores_gemma":[0.00686808,0.00047464954,0.0012326309,0.0015027362,0.004132506,0.00948863,0.0021679683,0.0030587283,0.0012813025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008361679,0.000018490418,0.00010894422,0.000015186424,0.0000027159554,0.00005597063,0.00005729925,0.0007026352,0.00026097053,0.9955272,0.0010859724,0.0021561517],"study_design_scores_gemma":[0.0000038197804,0.000003904286,0.0000421599,0.000007361626,0.0000017478192,0.00007246669,0.000022268314,0.007557294,0.00021358866,0.991041,0.001028768,0.0000057630064],"about_ca_topic_score_codex":0.0010153904,"about_ca_topic_score_gemma":0.0007589463,"teacher_disagreement_score":0.011419292,"about_ca_system_score_codex":0.0015903079,"about_ca_system_score_gemma":0.0011612251,"threshold_uncertainty_score":0.038201332},"labels":[],"label_agreement":null},{"id":"W4413645634","doi":"10.3390/math13172742","title":"Nonexistence of Homogeneous Levi-Flat Hypersurfaces in CP2","year":2025,"lang":"en","type":"article","venue":"Mathematics","topic":"Advanced Algebra and Geometry","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":"Brandon University","funders":"Université Laval","keywords":"Homogeneous; Mathematics; Geometry; Mathematical analysis; Pure mathematics; Combinatorics","score_opus":0.034367887150000484,"score_gpt":0.33490878254485157,"score_spread":0.30054089539485107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413645634","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9406642,0.00051829364,0.024751341,0.0006338786,0.00005075097,0.000025526857,0.00023666519,0.00010167579,0.0330176],"genre_scores_gemma":[0.9936947,0.00018357176,0.002721407,0.000037382462,0.000048255457,0.0000175096,0.00024388821,0.000023312705,0.0030299572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949205,0.00006646352,0.000024734627,0.00014230891,0.00016408361,0.00011033853],"domain_scores_gemma":[0.99911505,0.00027110052,0.00017051297,0.00010822445,0.00016414926,0.00017090811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005901159,0.00065379776,0.0004990325,0.0016682206,0.0018304591,0.0023940748,0.0006355834,0.00068907643,0.0025941127],"category_scores_gemma":[0.0020992055,0.00033835598,0.00034748556,0.00072595285,0.0024421401,0.002811535,0.0019478459,0.0011842714,0.000286025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014059218,0.000042192656,0.00645119,0.00013402931,0.000030268948,0.0014661684,0.0007008703,0.004078641,0.018911459,0.95412374,0.0016560097,0.012264872],"study_design_scores_gemma":[0.00005485883,0.0001435917,0.015030181,0.000053838005,0.000031285592,0.0027084982,0.001462845,0.04024535,0.01750177,0.9121946,0.010487976,0.00008527785],"about_ca_topic_score_codex":0.0016286162,"about_ca_topic_score_gemma":0.0008091678,"teacher_disagreement_score":0.0025941127,"about_ca_system_score_codex":0.0008181893,"about_ca_system_score_gemma":0.0003128075,"threshold_uncertainty_score":0.008678198},"labels":[],"label_agreement":null},{"id":"W4413695253","doi":"10.1017/s0305004125101515","title":"Murmurations of modular forms and <i>p</i> -power coefficients","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Algebra and Geometry","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 Regina","funders":"University of Texas Rio Grande Valley","keywords":"Modular design; Power (physics); Mathematics; Computer science; Physics; Programming language; Thermodynamics","score_opus":0.016902880795428774,"score_gpt":0.27823738400814485,"score_spread":0.26133450321271606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413695253","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8294096,0.001691854,0.06639146,0.002471713,0.000608755,0.000043643995,0.00010538791,0.00028013694,0.09899745],"genre_scores_gemma":[0.9889275,0.00029050588,0.0034331894,0.00017534899,0.00027457604,0.00001651992,0.00004048228,0.00007210838,0.006769812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986619,0.00040085742,0.000055916935,0.00021023364,0.0004536677,0.0002174063],"domain_scores_gemma":[0.9968078,0.0011602767,0.0005312351,0.0005674947,0.00045627583,0.00047689507],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009839592,0.0003995651,0.00082991057,0.0017211747,0.001287325,0.002174665,0.0008717277,0.0007452591,0.008890314],"category_scores_gemma":[0.010891366,0.00032232617,0.00050289603,0.00093707483,0.0036220038,0.004274718,0.0038246978,0.0019700103,0.00068005384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092375805,0.000016580432,0.0010689885,0.000048860576,0.000008433051,0.0003547674,0.00050141226,0.0005098955,0.0018497552,0.98383266,0.0015516868,0.010164571],"study_design_scores_gemma":[0.00003839137,0.000051412884,0.0019469017,0.00004838534,0.0000106973275,0.0011845273,0.00029433987,0.00584674,0.0021818574,0.9777989,0.010569047,0.000028849972],"about_ca_topic_score_codex":0.00032344236,"about_ca_topic_score_gemma":0.00019347107,"teacher_disagreement_score":0.008890314,"about_ca_system_score_codex":0.00077650533,"about_ca_system_score_gemma":0.00019871231,"threshold_uncertainty_score":0.029741049},"labels":[],"label_agreement":null},{"id":"W4413900203","doi":"10.2140/pjm.2025.339.73","title":"A functoriality property for supercusipidalL-packets","year":2025,"lang":"es","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Property (philosophy); Network packet; Computer network; Computer science; Philosophy","score_opus":0.03459098324882385,"score_gpt":0.32576166553720115,"score_spread":0.2911706822883773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413900203","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49810073,0.0007544504,0.34357306,0.0024216373,0.00071470806,0.00020241566,0.00046702835,0.0009831137,0.15278283],"genre_scores_gemma":[0.95875275,0.00021653679,0.024544476,0.00041980995,0.00015756076,0.00008481174,0.0001274227,0.00012227295,0.015574236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923456,0.00014624812,0.00004639901,0.00022082891,0.00015892307,0.00019304255],"domain_scores_gemma":[0.99855655,0.0004391388,0.00014530627,0.0002981383,0.00030949607,0.00025137147],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012558576,0.00045175225,0.00042457326,0.0015105185,0.0020226422,0.0033076168,0.00069063366,0.00086267566,0.0053834035],"category_scores_gemma":[0.0026169566,0.0003476443,0.00094328437,0.00060995686,0.0048315395,0.006129363,0.0047393953,0.0030890445,0.0010024824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011849776,0.000014304439,0.0002294377,0.000018311941,0.000003111782,0.0000942498,0.00045980915,0.000078813275,0.0014509015,0.99370474,0.0003411702,0.0035932614],"study_design_scores_gemma":[0.000027364531,0.000070580485,0.0007039042,0.00002231265,0.000013084846,0.0006800037,0.0003527293,0.002119272,0.0051809745,0.97831833,0.012476893,0.000034500055],"about_ca_topic_score_codex":0.0003024559,"about_ca_topic_score_gemma":0.0001883907,"teacher_disagreement_score":0.0053834035,"about_ca_system_score_codex":0.0007772512,"about_ca_system_score_gemma":0.0004976798,"threshold_uncertainty_score":0.018009245},"labels":[],"label_agreement":null},{"id":"W4413936647","doi":"10.1007/jhep09(2025)033","title":"All loop scattering for all multiplicity","year":2025,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Advanced Algebra and Geometry","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 du Québec à Montréal","funders":"Institut Universitaire de France; Canada Research Chairs; Agence Nationale de la Recherche; Natural Sciences and Engineering Research Council of Canada; European Commission; U.S. Department of Energy","keywords":"Physics; Multiplicity (mathematics); Particle physics; Loop (graph theory); Scattering; Quantum electrodynamics; Theoretical physics; Nuclear physics; Mathematical physics; Quantum mechanics; Combinatorics; Geometry","score_opus":0.027644711185281612,"score_gpt":0.3111830363714938,"score_spread":0.2835383251862122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413936647","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34854,0.0010348778,0.4449204,0.0011978478,0.0004252429,0.00007057673,0.00021976704,0.0011909461,0.2024003],"genre_scores_gemma":[0.9490253,0.0005058781,0.026923891,0.00030998237,0.00014876905,0.00003982912,0.00016210508,0.00050899363,0.022375213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999514,0.00009086583,0.00002743224,0.000073951574,0.00017894055,0.00011482587],"domain_scores_gemma":[0.9991394,0.00017327195,0.00015672696,0.00021376446,0.00021653832,0.000100216625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005460893,0.0009249825,0.00052259903,0.0017090295,0.0012346031,0.0022169782,0.0011293159,0.0010968221,0.008838704],"category_scores_gemma":[0.002670424,0.0002955057,0.0012395161,0.0009772354,0.0019651018,0.003631367,0.0017606198,0.0015213521,0.0012962358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021954418,0.000024799565,0.0004960987,0.000043337666,0.000010422895,0.00035025546,0.00026548043,0.0053384993,0.003731712,0.98259556,0.0010154526,0.006106315],"study_design_scores_gemma":[0.000009562182,0.000022108985,0.000454856,0.000031235155,0.000012322073,0.00059868867,0.000109102104,0.07425028,0.003272483,0.91753423,0.0036761633,0.000029044893],"about_ca_topic_score_codex":0.0011618752,"about_ca_topic_score_gemma":0.0012007762,"teacher_disagreement_score":0.008838704,"about_ca_system_score_codex":0.0011763519,"about_ca_system_score_gemma":0.0006998256,"threshold_uncertainty_score":0.029568434},"labels":[],"label_agreement":null},{"id":"W4413948053","doi":"10.1016/j.jalgebra.2025.08.015","title":"A toric degeneration of Kronecker moduli spaces","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","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","keywords":"Mathematics; Kronecker delta; Moduli space; Moduli; Degeneration (medical); Pure mathematics; Algebra over a field; Physics; Medicine","score_opus":0.02006059265754418,"score_gpt":0.3231237058652733,"score_spread":0.3030631132077291,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413948053","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89588106,0.0005151944,0.051005393,0.00040768797,0.00021103023,0.00003913448,0.00013732261,0.00017564918,0.051627524],"genre_scores_gemma":[0.9828173,0.00021165494,0.005821172,0.00006543153,0.00007149997,0.000017051703,0.00010425162,0.000030872317,0.010860825],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997328,0.000039523882,0.000018841272,0.000058245634,0.00009083729,0.000059813185],"domain_scores_gemma":[0.9997701,0.000025893147,0.00004138968,0.0000401236,0.000050349314,0.00007218],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037911686,0.00029341393,0.000377988,0.0011682882,0.0011893859,0.0019271537,0.0003144784,0.0003488019,0.0031506333],"category_scores_gemma":[0.00064872217,0.0002325808,0.00031581995,0.00035322236,0.0016547431,0.002676397,0.0012303044,0.001006078,0.00057372707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039912717,0.000015331081,0.00059715664,0.000022211445,0.000004394959,0.0002912305,0.00032300226,0.0007432117,0.0037620824,0.9905239,0.00031821025,0.00335944],"study_design_scores_gemma":[0.00003310293,0.00015555751,0.002608269,0.000053958734,0.000021580046,0.0019591844,0.0006366302,0.013939764,0.009599473,0.95309407,0.0178484,0.000050044266],"about_ca_topic_score_codex":0.000461671,"about_ca_topic_score_gemma":0.000400162,"teacher_disagreement_score":0.0031506333,"about_ca_system_score_codex":0.0006730141,"about_ca_system_score_gemma":0.00042864544,"threshold_uncertainty_score":0.010539949},"labels":[],"label_agreement":null},{"id":"W4414309407","doi":"10.1515/forum-2025-0044","title":"Central limit theorem for Hecke eigenvalues","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","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","keywords":"Eigenvalues and eigenvectors; Algebraic number; Central limit theorem; Simple (philosophy); Limit (mathematics); Lie group; Spectrum (functional analysis); Representation theory","score_opus":0.028122891760980883,"score_gpt":0.33192377669006257,"score_spread":0.3038008849290817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414309407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64267707,0.0017270992,0.25652045,0.0024736135,0.00048945256,0.0000816827,0.00013196259,0.0005111042,0.09538754],"genre_scores_gemma":[0.98230237,0.00024547637,0.008810155,0.00019611123,0.00027080596,0.00006007133,0.000036272188,0.00007062503,0.008008086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988682,0.00029225755,0.00004427752,0.00020348399,0.00038913565,0.00020260834],"domain_scores_gemma":[0.997291,0.0010818559,0.0002546324,0.00027202044,0.0005800004,0.0005203519],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027428768,0.00065450167,0.0013485169,0.003019195,0.002303459,0.003120302,0.001599136,0.0010725218,0.0068877423],"category_scores_gemma":[0.0057805507,0.00037112724,0.0010271892,0.0009607071,0.0060132807,0.004949862,0.0035832978,0.0024888322,0.000656661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000143068455,0.000025071347,0.00024009151,0.000026826616,0.000008613428,0.00015249332,0.00015967587,0.00053809135,0.0009167163,0.99652463,0.0002936746,0.0010997633],"study_design_scores_gemma":[0.000021771439,0.000025488054,0.0002962219,0.000016283553,0.000006200116,0.00023792135,0.00010069374,0.013179086,0.0009653327,0.9843382,0.0007960461,0.000016643908],"about_ca_topic_score_codex":0.0005454898,"about_ca_topic_score_gemma":0.00043769475,"teacher_disagreement_score":0.0068877423,"about_ca_system_score_codex":0.0012667002,"about_ca_system_score_gemma":0.00076996,"threshold_uncertainty_score":0.023041785},"labels":[],"label_agreement":null},{"id":"W4414384467","doi":"10.1007/s40316-025-00259-6","title":"The multiplicative formula of Langlands for orbital integrals in GL(2)","year":2025,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Advanced Algebra and Geometry","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":"Automorphic form; Langlands program; Modular form; Multiplicative function; Algebra over a field; Algebraic number; Bernoulli polynomials; Number theory; Product (mathematics)","score_opus":0.016604615007860674,"score_gpt":0.3169564300273309,"score_spread":0.3003518150194703,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414384467","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.390153,0.004113604,0.20257363,0.0060621146,0.0028642542,0.00011700408,0.00054334715,0.0006977494,0.39287528],"genre_scores_gemma":[0.8597524,0.0014022014,0.038231123,0.0011695245,0.0019338183,0.00011242751,0.00026169987,0.00049248844,0.09664422],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991161,0.00018601914,0.00005551369,0.00012367756,0.0003559277,0.00016283519],"domain_scores_gemma":[0.9990012,0.0002593837,0.00012907916,0.0001623764,0.00026650596,0.00018143753],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014694822,0.0012971596,0.0010799922,0.004411726,0.003137953,0.005386718,0.0017376636,0.0015407512,0.01176529],"category_scores_gemma":[0.002676458,0.0005460695,0.0009700648,0.0023602198,0.0035512403,0.005618419,0.0018188329,0.0025421581,0.0023949961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013915899,0.0000133889935,0.00008735326,0.000018849481,0.0000030872106,0.00006228554,0.00014215324,0.00014167088,0.0004926995,0.9947813,0.0007422004,0.0035011487],"study_design_scores_gemma":[0.000010088891,0.000013763209,0.00031631542,0.000022116039,0.000007074066,0.00014436909,0.000069228765,0.0025543112,0.00053485873,0.99226004,0.004047801,0.000019982237],"about_ca_topic_score_codex":0.0055392007,"about_ca_topic_score_gemma":0.008452174,"teacher_disagreement_score":0.01176529,"about_ca_system_score_codex":0.002905913,"about_ca_system_score_gemma":0.0015837401,"threshold_uncertainty_score":0.039358854},"labels":[],"label_agreement":null},{"id":"W4414553880","doi":"","title":"Poisson structure on character varieties. II","year":2025,"lang":"en","type":"article","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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":"Monodromy; Moduli space; Poisson manifold; Riemann surface; Logarithm; Poisson distribution; Space (punctuation); Moduli","score_opus":0.030911781743681307,"score_gpt":0.3118088343045028,"score_spread":0.2808970525608215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414553880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4811206,0.008681569,0.09652239,0.0039507225,0.0011783739,0.000108433655,0.00074318924,0.0003342737,0.40736043],"genre_scores_gemma":[0.9436027,0.0013108703,0.0055248416,0.00029830972,0.00063124415,0.000048719838,0.00031164032,0.000054308523,0.04821742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995801,0.00008557323,0.000019221698,0.00008902665,0.00015675483,0.000069319874],"domain_scores_gemma":[0.99965274,0.00007108664,0.00006169026,0.000033368324,0.000071926916,0.00010909326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037258316,0.00048829283,0.00034753213,0.0019145199,0.0011175887,0.0025364489,0.00041499521,0.0005561411,0.006718189],"category_scores_gemma":[0.000977383,0.0002706835,0.00035832662,0.0011063252,0.0018789342,0.0024378607,0.0018360531,0.0011006681,0.0011781596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015603813,0.00001312272,0.0005755975,0.000032761203,0.000004406847,0.00013482978,0.00031231143,0.00030424434,0.0014780586,0.9901778,0.0013168555,0.005634429],"study_design_scores_gemma":[0.000010352661,0.000037741513,0.0014811278,0.000030909134,0.0000055792043,0.0006410186,0.00024881575,0.0025189053,0.0010713488,0.976602,0.017341489,0.000010691166],"about_ca_topic_score_codex":0.00034256538,"about_ca_topic_score_gemma":0.00016945275,"teacher_disagreement_score":0.006718189,"about_ca_system_score_codex":0.0009655866,"about_ca_system_score_gemma":0.00027809193,"threshold_uncertainty_score":0.022474587},"labels":[],"label_agreement":null},{"id":"W4414620460","doi":"10.1017/fms.2025.10035","title":"Rigid meromorphic cocycles for orthogonal groups","year":2025,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Advanced Algebra and Geometry","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; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Meromorphic function; Signature (topology); Class (philosophy); Field (mathematics); Space (punctuation); Algebra over a field","score_opus":0.027471822801407926,"score_gpt":0.32507325926187985,"score_spread":0.29760143646047194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414620460","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86329544,0.0003107648,0.06726538,0.0004634672,0.00019446589,0.000045753954,0.000088990615,0.00014838752,0.06818724],"genre_scores_gemma":[0.9906584,0.00009736749,0.002996124,0.000044470744,0.000058211583,0.000012850543,0.000036646914,0.000018292387,0.0060776104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996524,0.00006145947,0.000015908105,0.0000657845,0.00011741691,0.00008711541],"domain_scores_gemma":[0.99955267,0.00005751706,0.00009033047,0.000086350505,0.00007384774,0.00013929946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045246334,0.00037049924,0.00025681785,0.0012210214,0.00091104856,0.0013292244,0.00035114726,0.00040799158,0.004165599],"category_scores_gemma":[0.0010396745,0.0001493567,0.0003182358,0.0005340788,0.002414996,0.001859784,0.001360472,0.0008755015,0.00029383303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019790989,0.000010501886,0.00032557597,0.000010494958,0.0000018267302,0.000090549234,0.00025000967,0.00048013235,0.0018020303,0.9930882,0.00019467913,0.0037261834],"study_design_scores_gemma":[0.00001916896,0.00006470097,0.0008894676,0.000019335357,0.000005349669,0.00019855093,0.00040828955,0.007195796,0.0021075704,0.9820946,0.0069803,0.000016836717],"about_ca_topic_score_codex":0.0006771106,"about_ca_topic_score_gemma":0.0004477734,"teacher_disagreement_score":0.004165599,"about_ca_system_score_codex":0.000691732,"about_ca_system_score_gemma":0.0002590866,"threshold_uncertainty_score":0.013935268},"labels":[],"label_agreement":null},{"id":"W4414768340","doi":"10.1016/j.jnt.2025.09.012","title":"Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)","year":2025,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","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":"Automorphic form; Conjugacy class; Dirichlet distribution; Unitary state; Automorphic L-function; Upper and lower bounds; TRACE (psycholinguistics); Langlands program","score_opus":0.0707857626719934,"score_gpt":0.4016123720078974,"score_spread":0.330826609335904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414768340","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8741352,0.00020652973,0.11131028,0.00029256704,0.00009421415,0.000027475728,0.00016128697,0.00020886422,0.01356352],"genre_scores_gemma":[0.9873033,0.00008099707,0.00953465,0.000057688703,0.00006118506,0.00003037842,0.00012139751,0.000065063556,0.0027453126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869376,0.00021987956,0.00007783992,0.00030317574,0.00041954522,0.00028579903],"domain_scores_gemma":[0.99707294,0.0013540771,0.00046229834,0.00032678043,0.00024088983,0.0005430307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017771958,0.00052595144,0.0008948458,0.0041622063,0.0018491361,0.002885472,0.0014088188,0.0011212106,0.006879157],"category_scores_gemma":[0.006819135,0.0005117496,0.00075802905,0.0012498599,0.0026739684,0.0035254064,0.0029898114,0.0013316035,0.0005900132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003178608,0.00011599039,0.0043018134,0.00011295036,0.000033823086,0.0003809033,0.0009193214,0.00684036,0.0088000735,0.9655917,0.00075075735,0.0118344],"study_design_scores_gemma":[0.00004692259,0.00009737471,0.0025336908,0.00003546219,0.000019306624,0.0003101564,0.00051225687,0.03726574,0.0053466633,0.9527756,0.0009973142,0.000059466376],"about_ca_topic_score_codex":0.00030899962,"about_ca_topic_score_gemma":0.00041317428,"teacher_disagreement_score":0.006879157,"about_ca_system_score_codex":0.00084259576,"about_ca_system_score_gemma":0.0003526243,"threshold_uncertainty_score":0.023013055},"labels":[],"label_agreement":null},{"id":"W4414899226","doi":"10.48550/arxiv.2506.02432","title":"Generalizations of Erdős-Kac theorem with applications","year":2025,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","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":"Abelian group; Natural number; Divisor (algebraic geometry); Prime (order theory); Prime factor; Function (biology)","score_opus":0.07116664897658445,"score_gpt":0.22635170616297642,"score_spread":0.15518505718639197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414899226","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1768205,0.020904839,0.58250237,0.012374225,0.0021997015,0.00012904448,0.0012312554,0.00049585744,0.20334229],"genre_scores_gemma":[0.89613026,0.012309558,0.061684538,0.0017623077,0.005387113,0.00021287808,0.00050889637,0.00018517724,0.02181929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99782145,0.0006399905,0.000119458426,0.0006106634,0.0005967034,0.00021184277],"domain_scores_gemma":[0.9945403,0.0027172596,0.0005561019,0.0008445887,0.000926025,0.00041569094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034770393,0.0010188824,0.0015666098,0.0043634446,0.0023281712,0.0022409842,0.0015133396,0.0011541767,0.0048731836],"category_scores_gemma":[0.012523792,0.00042102853,0.0015215969,0.0036921827,0.0043187356,0.007816133,0.0042244345,0.004131437,0.00096392335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015461643,0.000011628131,0.00040633976,0.00003830686,0.000009068158,0.000047355687,0.00011531419,0.001870108,0.00018922216,0.98874867,0.0014543283,0.007094143],"study_design_scores_gemma":[0.0000067493866,0.00001354036,0.00034091325,0.00001868707,0.0000072343114,0.00010519987,0.000060955077,0.007383908,0.00016124008,0.983716,0.008173151,0.000012549435],"about_ca_topic_score_codex":0.0018957052,"about_ca_topic_score_gemma":0.0007921288,"teacher_disagreement_score":0.0048731836,"about_ca_system_score_codex":0.0024436866,"about_ca_system_score_gemma":0.00091029756,"threshold_uncertainty_score":0.01838857},"labels":[],"label_agreement":null},{"id":"W4414918700","doi":"10.1093/imrn/rnaf305","title":"Chern Classes of Open Projected Richardson Varieties and of Affine Schubert Cells","year":2025,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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; Grassmannian; Schubert calculus; Stratification (seeds); Open set; Schubert variety","score_opus":0.15761781082456025,"score_gpt":0.5042347719596114,"score_spread":0.34661696113505114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414918700","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97561014,0.00008847478,0.007731493,0.0000817758,0.000019863255,0.000016669721,0.00008210118,0.000058687714,0.01631079],"genre_scores_gemma":[0.9960685,0.00006612101,0.0008629317,0.000011754177,0.000020619664,0.00001034927,0.000087135595,0.000013983466,0.0028585026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963784,0.00004538262,0.00001605461,0.000059042777,0.00012496913,0.000116640105],"domain_scores_gemma":[0.99959534,0.000054534055,0.00008646816,0.000031499825,0.0000610827,0.00017095538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032442872,0.0003291483,0.00033893972,0.0023508184,0.0009847569,0.0019446902,0.00037084415,0.0003514327,0.0060719685],"category_scores_gemma":[0.00086154405,0.0002506337,0.0003387491,0.0006794834,0.0021110666,0.0023217616,0.0013295297,0.00063429924,0.00039667424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014452341,0.000034889053,0.004916533,0.000039164315,0.000012771521,0.00024209487,0.00068664755,0.002172054,0.0062372223,0.9751491,0.0005760744,0.009788922],"study_design_scores_gemma":[0.00008797472,0.00023463504,0.038333725,0.000060053073,0.00003655383,0.0010175105,0.0019329325,0.027281992,0.010494574,0.909887,0.010530782,0.0001022824],"about_ca_topic_score_codex":0.001670247,"about_ca_topic_score_gemma":0.0010858467,"teacher_disagreement_score":0.0060719685,"about_ca_system_score_codex":0.00089803647,"about_ca_system_score_gemma":0.00030283336,"threshold_uncertainty_score":0.020312726},"labels":[],"label_agreement":null},{"id":"W4415317941","doi":"10.48550/arxiv.2510.07056","title":"On divisibility of Hecke eigenvalues of Ikeda lifts","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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; Queen's University; Institute of Mathematical Sciences","keywords":"Divisibility rule; Abelian group; Lift (data mining); Eigenvalues and eigenvectors; Hecke operator; Fourier series; Twists of curves; Elliptic curve","score_opus":0.10403270434447756,"score_gpt":0.3794071345101648,"score_spread":0.2753744301656872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415317941","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9588304,0.0008688002,0.03364857,0.0004238535,0.000037803078,0.000018982657,0.00020579626,0.00014153264,0.0058242637],"genre_scores_gemma":[0.9958865,0.00049796025,0.0020632704,0.000031774147,0.0001249226,0.00002816035,0.0001861036,0.00003524249,0.0011461105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993217,0.0001638697,0.000028900597,0.00017625006,0.00017325944,0.00013607099],"domain_scores_gemma":[0.9898986,0.0066433703,0.0013285505,0.0005768036,0.0004074802,0.0011451816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017561845,0.0006845574,0.0010797236,0.0029871955,0.0013403791,0.0021119246,0.0010413756,0.00059200596,0.0051178113],"category_scores_gemma":[0.012371251,0.00070438953,0.000522542,0.0008697647,0.004348412,0.0035448829,0.0021622921,0.0017193748,0.00051299937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009388459,0.00029351786,0.048728507,0.00043019836,0.00011344041,0.0011428016,0.0016467922,0.043502614,0.016024305,0.8632612,0.0033772278,0.020540524],"study_design_scores_gemma":[0.00014887626,0.00028538905,0.030578533,0.00020006264,0.000085332715,0.0022705076,0.0011788763,0.2082677,0.0127516035,0.7406974,0.0033619944,0.00017379408],"about_ca_topic_score_codex":0.00049869413,"about_ca_topic_score_gemma":0.00023829506,"teacher_disagreement_score":0.0051178113,"about_ca_system_score_codex":0.00079856516,"about_ca_system_score_gemma":0.00032080986,"threshold_uncertainty_score":0.017120779},"labels":[],"label_agreement":null},{"id":"W4415374500","doi":"10.4153/s0008439525101343","title":"A classification of double struck upper Q$\\mathbb {Q}$ <mml:math xmlns:xlink=\"http://www.w3.org/1999/xlink\" xmlns:mnf=\"http://cambridge.org/core/manifest\" xmlns:cup=\"http://contentservices.cambridge.org\" xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns:m=\"http://cambridge.org/core/metadata\" xmlns:core=\"http://cambridge.org/core\" xmlns:c=\"http://cambridge.org/core/content\" display=\"inline\"> <mml:mi mathvariant=\"double-struck\">Q</mml:mi> </mml:math> -linear maps from ModifyingAbove caret With bar double struck upper Q times slash ModifyingAbove bar caret With bar double struck upper Q t o r s times$\\overline {\\mathbb {Q}}^\\times /\\overline {\\mathbb {Q}}^\\times _{\\mathrm {tors}}$ <mml:math xmlns:xlink=\"http://www.w3.org/1999/xlink\" xmlns:mnf=\"http://cambridge.org/core/manifest\" xmlns:cup=\"http://contentservices.cambridge.org\" xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns:m=\"http://cambridge.org/core/metadata\" xmlns:core=\"http://cambridge.org/core\" xmlns:c=\"http://cambridge.org/core/content\" display=\"inline\"> <mml:mrow> <mml:mover> <mml:mo>^</mml:mo> <mml:mo stretchy=\"true\">¯</mml:mo> </mml:mover> <mml:mi mathvariant=\"double-struck\">Q</mml:mi> <mml:mo>×</mml:mo> <mml:mo>/</mml:mo> <mml:mover> <mml:mo>_^</mml:mo> <mml:mo stretchy=\"true\">¯</mml:mo> </mml:mover> <mml:mi mathvariant=\"double-struck\">Q</mml:mi> <mml:mstyle mathvariant=\"normal\"> <mml:mrow> <mml:mi>t</mml:mi> <mml:mi>o</mml:mi> <mml:mi>r</mml:mi> <mml:mi>s</mml:mi> </mml:mrow> </mml:mstyle> <mml:mo>×</mml:mo> </mml:mrow> </mml:math> to double struck upper R$\\mathbb {R}$ <mml:math xmlns:xlink=\"http://www.w3.org/1999/xlink\" xmlns:mnf=\"http://cambridge.org/core/manifest\" xmlns:cup=\"http://contentservices.cambridge.org\" xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns:m=\"http://cambridge.org/core/metadata\" xmlns:core=\"http://cambridge.org/core\" xmlns:c=\"http://cambridge.org/core/content\" display=\"inline\"> <mml:mi mathvariant=\"double-struck\">R</mml:mi> </mml:math>","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Dual (grammatical number); Space (punctuation); Object (grammar); Representation (politics); Construct (python library); Dual space; Function (biology)","score_opus":0.03163640180078299,"score_gpt":0.25323352496008056,"score_spread":0.22159712315929758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415374500","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.044699095,0.0016891884,0.38463023,0.0015646062,0.0016838412,0.00027590882,0.0024058803,0.007450597,0.5556007],"genre_scores_gemma":[0.31674936,0.002100165,0.11850461,0.0010460978,0.0004632845,0.00037995668,0.008834649,0.0072729597,0.54464895],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978004,0.00022700807,0.000181428,0.00056521414,0.000757347,0.0004685658],"domain_scores_gemma":[0.99813676,0.0002568535,0.00013583552,0.0005026406,0.0007129004,0.0002549317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000740064,0.0014526665,0.0007371444,0.0031228021,0.0027984455,0.0053171986,0.0017331352,0.0013828251,0.060394254],"category_scores_gemma":[0.0027559237,0.0009477084,0.0015267876,0.0028692808,0.0034191615,0.005956804,0.0044000065,0.0037319935,0.030709025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014094773,0.00014936962,0.001953484,0.00025675623,0.000021204523,0.0007226847,0.0023677135,0.00078405096,0.00924375,0.7432413,0.08353872,0.1575799],"study_design_scores_gemma":[0.000029148356,0.00012711181,0.0033146848,0.00013731996,0.00003137662,0.0018694699,0.0015324395,0.0029609408,0.01959373,0.1967328,0.7735677,0.00010324306],"about_ca_topic_score_codex":0.007297425,"about_ca_topic_score_gemma":0.0063767205,"teacher_disagreement_score":0.060394254,"about_ca_system_score_codex":0.0022820344,"about_ca_system_score_gemma":0.001385408,"threshold_uncertainty_score":0.20203894},"labels":[],"label_agreement":null},{"id":"W4415561204","doi":"10.1093/imrn/rnaf316","title":"Whittaker Normalization of <i>p</i> -Adic ABV-Packets and Vogan’s Conjecture for Tempered Representations","year":2025,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","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 Lethbridge; University of Calgary","funders":"","keywords":"Equivariant map; Conjecture; Normalization (sociology); Function (biology); Group (periodic table); State (computer science)","score_opus":0.11988838238009437,"score_gpt":0.49788179041719316,"score_spread":0.3779934080370988,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415561204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9194277,0.0002342372,0.04906838,0.00045391548,0.000094184164,0.000026426886,0.00006767031,0.000112384274,0.0305152],"genre_scores_gemma":[0.9933956,0.00007170576,0.002803242,0.00006084144,0.00004210298,0.000015037355,0.000040999137,0.000026352449,0.003543963],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946445,0.000108223074,0.000029603221,0.00013021877,0.00012298077,0.00014463159],"domain_scores_gemma":[0.9989586,0.00023956409,0.00020569083,0.000177229,0.00017659784,0.00024231263],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008281805,0.00034671952,0.0003824069,0.0012352226,0.0011364482,0.0025131484,0.00063291396,0.0007243773,0.0038174465],"category_scores_gemma":[0.0030274722,0.00027138117,0.0004679617,0.0005098121,0.003452298,0.0037611017,0.0018593062,0.001143814,0.0003209457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033567965,0.000015034847,0.0011929104,0.000011350207,0.000004711375,0.00009496608,0.00020952808,0.00086103764,0.0015110839,0.99253863,0.00021079475,0.003316351],"study_design_scores_gemma":[0.00001458622,0.00005737107,0.0016376956,0.000023029974,0.000008328321,0.0003032814,0.00034082774,0.0110705085,0.0031264527,0.98063385,0.0027591544,0.000024847774],"about_ca_topic_score_codex":0.0006528557,"about_ca_topic_score_gemma":0.0003438414,"teacher_disagreement_score":0.0038174465,"about_ca_system_score_codex":0.0011230011,"about_ca_system_score_gemma":0.0003333169,"threshold_uncertainty_score":0.012770593},"labels":[],"label_agreement":null},{"id":"W4415585831","doi":"10.1090/ert/706","title":"Gelfand–Kirillov dimension for mod 𝑝 representations of 𝑝-adic unitary groups of rank 2","year":2025,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Association Neurofibromatoses et Recklinghause; Institut Universitaire de France; University of Toronto; Agence Nationale de la Recherche; National Science Foundation","keywords":"Upper and lower bounds; Dimension (graph theory); Rank (graph theory); Prime (order theory); Unitary state; Integer (computer science); Group (periodic table)","score_opus":0.025895140695418654,"score_gpt":0.3520014474998645,"score_spread":0.32610630680444586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415585831","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3735834,0.0026855385,0.11083536,0.0057749334,0.0013255159,0.000091568945,0.0011587356,0.0008028938,0.503742],"genre_scores_gemma":[0.92811996,0.0010242823,0.016140867,0.0006811773,0.0006528426,0.0000884579,0.0005759264,0.00019056081,0.05252596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99933285,0.00012513238,0.0000249816,0.000116985226,0.0002133203,0.00018658671],"domain_scores_gemma":[0.9993486,0.00018186014,0.00009458988,0.000081433085,0.00013893923,0.00015463987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074397156,0.00063869543,0.0005528669,0.0024205695,0.0016199735,0.0030093358,0.0006074657,0.000732458,0.014564348],"category_scores_gemma":[0.0016967852,0.00025476364,0.0006804376,0.0010292017,0.001980793,0.0035102405,0.0018607068,0.0020251945,0.002270364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016841326,0.0000070386845,0.00009950044,0.000016579279,0.0000029246671,0.000026289694,0.00016468143,0.00018636897,0.0002513529,0.99256414,0.0021259012,0.0045385333],"study_design_scores_gemma":[0.000010032981,0.000014592807,0.00029573016,0.000011603905,0.000003811229,0.00006822393,0.0001059452,0.001533378,0.0003760058,0.98811907,0.009448139,0.000013582081],"about_ca_topic_score_codex":0.0015411115,"about_ca_topic_score_gemma":0.0013073221,"teacher_disagreement_score":0.014564348,"about_ca_system_score_codex":0.0017913388,"about_ca_system_score_gemma":0.00077011145,"threshold_uncertainty_score":0.048722565},"labels":[],"label_agreement":null},{"id":"W4415603491","doi":"10.4153/s0008439525101380","title":"Cartan decomposition for $\\mathrm {Sp}(1,n)$ and some applications to group dynamics","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Uniformization (probability theory); Group (periodic table); Decomposition; Domain (mathematical analysis); Decomposition theorem; Cartan decomposition; Dynamics (music)","score_opus":0.012188449280915468,"score_gpt":0.3092934850264903,"score_spread":0.29710503574557484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415603491","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54610544,0.0014050435,0.23808232,0.0025822208,0.0002619274,0.000057565474,0.00029850437,0.00025111216,0.21095584],"genre_scores_gemma":[0.9440404,0.00036215517,0.034645226,0.00017887625,0.00014440103,0.00002977989,0.00015039062,0.000044426055,0.020404313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998708,0.000024460576,0.0000052604996,0.000029038512,0.000038538667,0.00003190693],"domain_scores_gemma":[0.9997683,0.00006435595,0.00003470952,0.000023441242,0.00005142705,0.000057699144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033375857,0.00027997466,0.00024850643,0.0008353235,0.0005666429,0.00075745466,0.00032428835,0.00022374574,0.006856556],"category_scores_gemma":[0.00058370276,0.000120785015,0.00031242304,0.00039252138,0.0011820231,0.0009983439,0.00084300735,0.0008460097,0.000548991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000057937423,0.00000572745,0.00011078007,0.000011213685,0.0000013345268,0.00004842379,0.000100725374,0.00068511907,0.0010790885,0.994208,0.0005631563,0.0031806745],"study_design_scores_gemma":[0.0000069687085,0.000016871942,0.00048563784,0.000009729314,0.000002032587,0.000101141035,0.000101631726,0.015993645,0.0016946978,0.9735169,0.008061894,0.000008805451],"about_ca_topic_score_codex":0.0014022131,"about_ca_topic_score_gemma":0.001275172,"teacher_disagreement_score":0.006856556,"about_ca_system_score_codex":0.0006461069,"about_ca_system_score_gemma":0.00033397597,"threshold_uncertainty_score":0.022937477},"labels":[],"label_agreement":null},{"id":"W4415935218","doi":"10.1090/ert/707","title":"Equivalent definitions of Arthur packets for real unitary groups","year":2025,"lang":"en","type":"article","venue":"Representation Theory of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Unitary state; Network packet; Algebra over a field; Unitary matrix; Harmonic; Unitary group","score_opus":0.07019252011144578,"score_gpt":0.3700404406726667,"score_spread":0.29984792056122095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415935218","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21410139,0.004574746,0.55978256,0.004803862,0.001997857,0.00026978168,0.00045403585,0.00029628197,0.21371946],"genre_scores_gemma":[0.87139213,0.0020904702,0.09577393,0.0018032481,0.0016689729,0.0003749308,0.0004584009,0.00017487518,0.026263107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99603695,0.0012692222,0.00034279295,0.0005558796,0.0011826431,0.0006125456],"domain_scores_gemma":[0.99578685,0.001623587,0.0004864691,0.0006771065,0.0009543442,0.00047175615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037438124,0.00093630195,0.00073995686,0.004042097,0.0015815167,0.00489494,0.0017860543,0.0017575241,0.0064736395],"category_scores_gemma":[0.009528424,0.00039961596,0.0011035353,0.0016035708,0.005865594,0.010639935,0.004948197,0.0043214164,0.0008875622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000047717012,0.0000058211795,0.00003328569,0.0000066549037,0.0000016168917,0.000016121196,0.00012960954,0.000060202172,0.000111725094,0.99823725,0.00018070826,0.001212262],"study_design_scores_gemma":[0.000012159016,0.000026157786,0.00015806442,0.000019988429,0.0000064681553,0.00012978127,0.00018797109,0.0016497715,0.0004352951,0.98856026,0.008792192,0.000021912876],"about_ca_topic_score_codex":0.0004561928,"about_ca_topic_score_gemma":0.00019153958,"teacher_disagreement_score":0.0064736395,"about_ca_system_score_codex":0.0013246704,"about_ca_system_score_gemma":0.0006566084,"threshold_uncertainty_score":0.021656454},"labels":[],"label_agreement":null},{"id":"W4415965493","doi":"10.1103/hljn-f9nc","title":"Orbit method for quantum corner symmetries","year":2025,"lang":"en","type":"article","venue":"Physical review. D/Physical review. D.","topic":"Advanced Algebra and Geometry","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":"Ministry of Colleges and Universities; Institut Périmètre de physique théorique; Instituto Nazionale di Fisica Nucleare; Government of Canada","keywords":"Semidirect product; Symmetry group; Homogeneous space; Factorization; Irreducible representation; Group (periodic table); Orbit (dynamics); Lie algebra; Symmetry (geometry); Unitary group; Algebra over a field","score_opus":0.03673553253422589,"score_gpt":0.5153392316681615,"score_spread":0.47860369913393563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415965493","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13665193,0.0017057296,0.74585754,0.0012619637,0.000632736,0.00016402785,0.00027824735,0.00046155782,0.112986326],"genre_scores_gemma":[0.7929285,0.0014720159,0.15924543,0.00043779702,0.000619871,0.00024959675,0.0004607239,0.00055761606,0.044028487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995932,0.0001048219,0.000020366517,0.00006040964,0.00014405508,0.00007711537],"domain_scores_gemma":[0.9996182,0.00011689839,0.000045870016,0.0000898093,0.00006500006,0.00006423243],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006611516,0.000531283,0.00048754475,0.0021983385,0.0010553744,0.0014525821,0.0008167147,0.0008730732,0.0097798025],"category_scores_gemma":[0.0012924057,0.00019247821,0.001116506,0.00083661516,0.0022764585,0.0023769948,0.0020408332,0.001595989,0.0015032049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000981786,0.00001008023,0.00010947347,0.000023214496,0.0000026711173,0.000038566588,0.00014213701,0.0011845883,0.00082445086,0.99036497,0.00070398976,0.0065860813],"study_design_scores_gemma":[0.000010174561,0.000028632634,0.0001496706,0.000024006651,0.0000047582403,0.00009111303,0.00011153984,0.042588085,0.0009816049,0.9499654,0.006031038,0.000013850367],"about_ca_topic_score_codex":0.0011554813,"about_ca_topic_score_gemma":0.0009380642,"teacher_disagreement_score":0.0097798025,"about_ca_system_score_codex":0.0010055879,"about_ca_system_score_gemma":0.00078343274,"threshold_uncertainty_score":0.03271675},"labels":[],"label_agreement":null},{"id":"W4415999104","doi":"10.4171/dm/1045","title":"Mod $\\ell$ gamma factors and a converse theorem for finite general linear groups","year":2025,"lang":"","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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":"City University of New York; American Institute of Mathematics; National Science Foundation","keywords":"Converse; Converse theorem; Modulo; Mod; Conjecture; Reduction (mathematics)","score_opus":0.02333698096731061,"score_gpt":0.32100034793916116,"score_spread":0.29766336697185053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415999104","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66392523,0.00082107866,0.15095787,0.0024269489,0.0004428156,0.00005940878,0.00026485728,0.0004510086,0.18065087],"genre_scores_gemma":[0.96108186,0.00033092746,0.013177359,0.000530597,0.0003089507,0.000033852455,0.0001814055,0.000095572104,0.024259465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938715,0.00011592273,0.00003367321,0.00015691915,0.00014980185,0.00015650249],"domain_scores_gemma":[0.9994511,0.00015680668,0.0000681294,0.000096681826,0.00011848145,0.00010888158],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010158704,0.0006372389,0.00036299697,0.0010665556,0.0012582312,0.0013207631,0.0005428541,0.00061727065,0.0060249176],"category_scores_gemma":[0.0015855219,0.00019901094,0.00082306017,0.00041203698,0.0026860493,0.002880681,0.0017250602,0.0016226103,0.0009444994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003106526,0.000012443898,0.00039716312,0.000027243945,0.0000050633976,0.00014238464,0.00027765776,0.00037325203,0.0018564579,0.99155676,0.00085135875,0.004469134],"study_design_scores_gemma":[0.0000267145,0.00007134704,0.0010196739,0.000024034993,0.000017634355,0.00084318436,0.0002479162,0.0058714454,0.0065671215,0.97076327,0.014515886,0.00003184502],"about_ca_topic_score_codex":0.00094638433,"about_ca_topic_score_gemma":0.0007643528,"teacher_disagreement_score":0.0060249176,"about_ca_system_score_codex":0.0008027759,"about_ca_system_score_gemma":0.00037249317,"threshold_uncertainty_score":0.02015537},"labels":[],"label_agreement":null},{"id":"W4416453872","doi":"10.1215/00127094-2025-0022","title":"Metaplectic covers of p-adic groups and quantum groups at roots of unity","year":2025,"lang":"","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Algebra and Geometry","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":"Representation theory; Root of unity; Conjecture; Type (biology); Algebra over a field; Cover (algebra); Group (periodic table); Langlands program; Quantum","score_opus":0.019950762390044972,"score_gpt":0.30008991101909915,"score_spread":0.2801391486290542,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416453872","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95555305,0.0003723403,0.018729025,0.00023796447,0.00004055236,0.000019998784,0.000050315117,0.00006551873,0.024931367],"genre_scores_gemma":[0.99197197,0.00013622921,0.0036412093,0.000026238904,0.000044922253,0.0000119783135,0.0000394476,0.000012814165,0.0041151256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99987674,0.000018019391,0.0000057369666,0.000026717016,0.000037715716,0.000035096895],"domain_scores_gemma":[0.9998845,0.000017061915,0.00003238666,0.000014376427,0.000009792219,0.00004191377],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000161422,0.0004969138,0.00031345832,0.0011548739,0.0007317746,0.0009399703,0.00035992,0.00044006333,0.0031316828],"category_scores_gemma":[0.00028588268,0.00016790439,0.00034597464,0.0004968143,0.0013478308,0.0015129679,0.000997274,0.0006535374,0.00036239583],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005316069,0.000032102296,0.0013805616,0.00004841721,0.000010028561,0.0010740103,0.00095397077,0.0033225766,0.013882425,0.9722535,0.0003150383,0.0066742506],"study_design_scores_gemma":[0.000026193848,0.00023650713,0.006875648,0.000048395028,0.000024350473,0.0021374577,0.0009169852,0.026906727,0.010034208,0.9429342,0.009820722,0.000038649763],"about_ca_topic_score_codex":0.0003037711,"about_ca_topic_score_gemma":0.00030661555,"teacher_disagreement_score":0.0031316828,"about_ca_system_score_codex":0.000446293,"about_ca_system_score_gemma":0.00014933432,"threshold_uncertainty_score":0.01047653},"labels":[],"label_agreement":null},{"id":"W4416571045","doi":"10.1017/s1474748025101394","title":"VORONOI COMPLEXES IN HIGHER DIMENSIONS, COHOMOLOGY OF $GL_N(\\mathbb{Z} )$ FOR $N\\geqslant 8$ AND THE TRIVIALITY OF $K_8(\\mathbb{Z} )$","year":2025,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","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":"Triviality; Voronoi diagram; Quotient; Cohomology; Modular design; Enumeration; Algebraic number","score_opus":0.04619980468035382,"score_gpt":0.3313851360700251,"score_spread":0.2851853313896713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416571045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96403587,0.0002208028,0.02351012,0.000266127,0.00002974766,0.000011417835,0.00012369093,0.00003472127,0.011767488],"genre_scores_gemma":[0.99087673,0.0001416181,0.005315693,0.00003296972,0.000036385693,0.000014946308,0.00014062045,0.000015953048,0.0034250915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997712,0.000042942815,0.000009789401,0.0000393923,0.00006759327,0.00006919217],"domain_scores_gemma":[0.99943763,0.00019817738,0.000100236015,0.00003638134,0.0000794218,0.00014814954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026013632,0.00026559443,0.00034834878,0.0016426845,0.000922087,0.001805565,0.00066403614,0.00028813604,0.0037733964],"category_scores_gemma":[0.0009793232,0.00018575173,0.00026359395,0.00056406687,0.002043991,0.0014793053,0.0011927465,0.0005623528,0.00041866297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048649967,0.000024674879,0.0036405344,0.0000328206,0.000006010715,0.00010722532,0.00051829615,0.003868896,0.0036458278,0.9811178,0.0007317838,0.006257464],"study_design_scores_gemma":[0.000028174143,0.00003198211,0.0047798166,0.000024285036,0.000011817501,0.00029075405,0.0007650164,0.033104956,0.00518079,0.9497583,0.0059886645,0.000035540703],"about_ca_topic_score_codex":0.0028803279,"about_ca_topic_score_gemma":0.003026013,"teacher_disagreement_score":0.0037733964,"about_ca_system_score_codex":0.0007367778,"about_ca_system_score_gemma":0.0003265606,"threshold_uncertainty_score":0.0126232505},"labels":[],"label_agreement":null},{"id":"W4416783613","doi":"10.4153/s0008439525101483","title":"Multiplicity one theorem for general Spin groups: The Archimedean case","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Multiplicity (mathematics); Dimension (graph theory); Quadratic equation; Irreducible representation; Space (punctuation); Structured program theorem","score_opus":0.02999146682059137,"score_gpt":0.3088265942615064,"score_spread":0.278835127440915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416783613","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72486055,0.0013471954,0.14440583,0.0034118367,0.0007609331,0.00007453309,0.00019891684,0.00033651612,0.12460377],"genre_scores_gemma":[0.98177105,0.00026976992,0.009752945,0.00024277011,0.0002641371,0.00003974096,0.000071168266,0.000041369014,0.007547133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986829,0.00021419603,0.0000701998,0.00032846569,0.0004363494,0.0002678416],"domain_scores_gemma":[0.99742436,0.0008226663,0.0004678738,0.0003895967,0.0002817788,0.00061377685],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017499136,0.0006656608,0.00083349954,0.0024073445,0.0031293584,0.0017655855,0.001136051,0.0009715428,0.004559688],"category_scores_gemma":[0.003089216,0.0002934257,0.001116404,0.0009009904,0.005838153,0.004497705,0.004565414,0.0025757267,0.0005643933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027051266,0.000016801992,0.00042080804,0.00002614782,0.0000061336837,0.00016644716,0.00029823682,0.00030551612,0.00064950564,0.99483854,0.0005194284,0.0027252724],"study_design_scores_gemma":[0.000017823604,0.000042541968,0.00052832364,0.000016904976,0.000012387387,0.00031856584,0.00013514925,0.0029568714,0.0010580892,0.991748,0.0031436402,0.000021714246],"about_ca_topic_score_codex":0.00080138724,"about_ca_topic_score_gemma":0.000612233,"teacher_disagreement_score":0.004559688,"about_ca_system_score_codex":0.0014194308,"about_ca_system_score_gemma":0.00065601384,"threshold_uncertainty_score":0.015253723},"labels":[],"label_agreement":null},{"id":"W4417029034","doi":"10.48550/arxiv.2512.03412","title":"Fourier coefficients of Eisenstein series on ${\\rm SO}(3,n+1)$","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Advanced Algebra and Geometry","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":"Lift (data mining); Type (biology); Cusp (singularity); Infinity; Group (periodic table); Construct (python library)","score_opus":0.047974239146708,"score_gpt":0.3188938119758977,"score_spread":0.2709195728291897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417029034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86948436,0.00047735835,0.069673955,0.0006288155,0.00028012475,0.00003189518,0.00020832555,0.000375918,0.05883909],"genre_scores_gemma":[0.9793773,0.0002899942,0.010061187,0.0000980607,0.00009969684,0.000028352664,0.0001923366,0.00019357374,0.009659411],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996792,0.000063427644,0.000010309554,0.000033064185,0.00011278897,0.0001012288],"domain_scores_gemma":[0.9996468,0.0001344729,0.00005727675,0.00005438759,0.000041148094,0.00006596758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063973083,0.0010843566,0.00064886594,0.0015718432,0.00071085396,0.0012212843,0.001046609,0.0006307903,0.007926238],"category_scores_gemma":[0.0019086655,0.0002314356,0.0005228905,0.0009217678,0.0016213276,0.0021527696,0.0011695576,0.001150346,0.0009098502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000131851,0.00010811792,0.0017162315,0.00014459377,0.000021369622,0.0006191392,0.00058999733,0.01277158,0.009307481,0.95544505,0.0024621892,0.016682375],"study_design_scores_gemma":[0.00007114789,0.00006945219,0.002891404,0.00012420549,0.000030423353,0.0006144435,0.00042819863,0.14351259,0.012031654,0.83320063,0.006945331,0.0000805704],"about_ca_topic_score_codex":0.0010356255,"about_ca_topic_score_gemma":0.0018888032,"teacher_disagreement_score":0.007926238,"about_ca_system_score_codex":0.00075444375,"about_ca_system_score_gemma":0.00037098717,"threshold_uncertainty_score":0.026515841},"labels":[],"label_agreement":null},{"id":"W4417446201","doi":"10.1007/s00229-025-01679-y","title":"Proof of Vogan’s conjecture on Arthur packets for $$\\mathop {GL}_n$$ over p-adic fields","year":2025,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","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; University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Number theory; Conjecture; Algebraic geometry; Combinatorial proof; Field (mathematics); Algebra over a field; Beal's conjecture; Network packet","score_opus":0.0398483858015193,"score_gpt":0.32863763691913056,"score_spread":0.2887892511176113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417446201","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27468887,0.0025849133,0.18104775,0.03944694,0.0042256108,0.00021261083,0.0011196417,0.0012655959,0.49540806],"genre_scores_gemma":[0.9235047,0.0012313082,0.02625193,0.0030865397,0.0012828948,0.00016039619,0.0006745684,0.0003109023,0.043496773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989027,0.00025716363,0.000051577234,0.00023820021,0.00030444114,0.00024591482],"domain_scores_gemma":[0.9964606,0.002119534,0.00024057503,0.0004287941,0.00041962514,0.00033082036],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019928273,0.0016717854,0.0012104673,0.0026666299,0.0021829389,0.0033747803,0.0017256719,0.0019195763,0.018407043],"category_scores_gemma":[0.0072890157,0.00086311955,0.0016647928,0.0015659394,0.005499407,0.0071978825,0.006203861,0.006481271,0.0018690526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059655904,0.000032762207,0.0002577837,0.000056668025,0.000013907308,0.00009972207,0.00023902905,0.000588401,0.0005525149,0.9891794,0.005179509,0.0037405395],"study_design_scores_gemma":[0.000036327183,0.000022171362,0.00036920572,0.000027735225,0.000015979642,0.00012266905,0.000102919905,0.004428819,0.00056578405,0.98803127,0.00625389,0.000023334094],"about_ca_topic_score_codex":0.0021057003,"about_ca_topic_score_gemma":0.0016499393,"teacher_disagreement_score":0.018407043,"about_ca_system_score_codex":0.0020426463,"about_ca_system_score_gemma":0.0012301983,"threshold_uncertainty_score":0.061577678},"labels":[],"label_agreement":null},{"id":"W48373399","doi":"","title":"L2 - Singular dichotomy for orbital measures on complex groups","year":2010,"lang":"it","type":"article","venue":"Bollettino Della Unione Matematica Italiana","topic":"Advanced Algebra and Geometry","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; Pure mathematics; Algebra over a field","score_opus":0.039060658399710825,"score_gpt":0.29710686903285044,"score_spread":0.2580462106331396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W48373399","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7706777,0.0017248675,0.08047336,0.007820451,0.00069421664,0.00008300578,0.00073719554,0.00042138025,0.13736786],"genre_scores_gemma":[0.9796489,0.00042664976,0.0057333102,0.0006589833,0.00086564454,0.00008716907,0.0004488387,0.000104016675,0.01202659],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988682,0.00026659708,0.000059088372,0.00021185115,0.00031215473,0.00028212293],"domain_scores_gemma":[0.9979826,0.0005926283,0.0003082645,0.00014372672,0.00021593951,0.00075687224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015056201,0.0013172921,0.0012616351,0.0065343603,0.0033797175,0.005571919,0.001209115,0.0022200118,0.010062642],"category_scores_gemma":[0.0038365729,0.00045479665,0.0010210377,0.0017334702,0.0051719835,0.006604816,0.0045697107,0.0032972393,0.0009602248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027330721,0.000017793041,0.00020161262,0.00001636532,0.000006744903,0.000044917822,0.00011713543,0.0001461676,0.00023138602,0.9976954,0.00051955663,0.00097556977],"study_design_scores_gemma":[0.00002269847,0.000016863083,0.00034553817,0.000010293197,0.0000057211755,0.00006392573,0.00009054667,0.002682871,0.00014461619,0.9959025,0.000703239,0.0000112840125],"about_ca_topic_score_codex":0.0010972719,"about_ca_topic_score_gemma":0.00066851213,"teacher_disagreement_score":0.010062642,"about_ca_system_score_codex":0.0027969596,"about_ca_system_score_gemma":0.0009831056,"threshold_uncertainty_score":0.033662856},"labels":[],"label_agreement":null},{"id":"W561444146","doi":"10.1090/crmp/038","title":"Algebraic Structures and Moduli Spaces","year":2004,"lang":"en","type":"book","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Moduli space; Moduli of algebraic curves; Pure mathematics; Algebraic number; Mathematics; Algebra over a field; Moduli; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.019292160279651034,"score_gpt":0.27253796468968217,"score_spread":0.25324580441003114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W561444146","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01145519,0.27985907,0.007637959,0.011360967,0.0035133315,0.00002683117,0.0005318125,0.00018953157,0.68542534],"genre_scores_gemma":[0.29997364,0.12784393,0.0071101077,0.0023398977,0.0055891094,0.00009082867,0.0009379794,0.0001741098,0.55594045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997441,0.00005865925,0.000010367806,0.00003957261,0.000106884974,0.000040391224],"domain_scores_gemma":[0.9998385,0.000040725914,0.000014636979,0.000024046263,0.00004227098,0.000039748145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042446036,0.0007720135,0.0004589151,0.0014133953,0.0011566349,0.0026632242,0.0003235577,0.00061729446,0.018928314],"category_scores_gemma":[0.0007009158,0.00032599788,0.00025647893,0.00159265,0.002282989,0.003964348,0.0015881298,0.0017471935,0.004466596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008788998,0.000013182716,0.00012827142,0.00009189159,0.000004762576,0.000038234688,0.00043284835,0.00027764263,0.00049068214,0.9052349,0.060601767,0.032677162],"study_design_scores_gemma":[0.0000048434963,0.000016114176,0.0007579531,0.00012549428,0.000002956461,0.00012551008,0.00018459998,0.00021855763,0.00012023336,0.58608025,0.41235718,0.000006316784],"about_ca_topic_score_codex":0.001105898,"about_ca_topic_score_gemma":0.0016208042,"teacher_disagreement_score":0.018928314,"about_ca_system_score_codex":0.0017884985,"about_ca_system_score_gemma":0.00081742986,"threshold_uncertainty_score":0.06332153},"labels":[],"label_agreement":null},{"id":"W595364316","doi":"10.1090/crmp/030","title":"Proceedings on Moonshine and Related Topics","year":2001,"lang":"en","type":"book","venue":"CRM proceedings & lecture notes","topic":"Advanced Algebra and Geometry","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 Ottawa; Concordia University","funders":"","keywords":"Computer science","score_opus":0.021174729653540225,"score_gpt":0.2727702641514499,"score_spread":0.25159553449790967,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W595364316","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0048314114,0.07424131,0.0017907661,0.027405148,0.059539285,0.00005377193,0.00090584083,0.0004136158,0.83081883],"genre_scores_gemma":[0.018811544,0.02731862,0.00084604294,0.0023759448,0.012012838,0.000054083033,0.0012411181,0.0002680934,0.93707174],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9996221,0.00005451456,0.000016697697,0.00007500708,0.0001486224,0.00008301387],"domain_scores_gemma":[0.9994562,0.00006952519,0.000027350616,0.00007934629,0.00015014532,0.0002173403],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000511864,0.00046016398,0.00057161687,0.0012787648,0.0021525105,0.0041409666,0.000867496,0.0015140834,0.22452241],"category_scores_gemma":[0.001239799,0.00022852738,0.00047121948,0.0017084692,0.0009460976,0.0035582157,0.0030385745,0.0021834124,0.04110991],"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":[0.000052665036,0.000054950204,0.00036794372,0.00024049859,0.000012784599,0.0002484973,0.00035760517,0.0001206963,0.00046975614,0.05640366,0.81064445,0.13102642],"study_design_scores_gemma":[0.000002138654,0.000005275088,0.00028059634,0.00005941712,0.0000026277664,0.00005330649,0.00015747162,0.000032968488,0.000045618814,0.0039288728,0.9954294,0.000002193743],"about_ca_topic_score_codex":0.0024199178,"about_ca_topic_score_gemma":0.0046443073,"teacher_disagreement_score":0.22452241,"about_ca_system_score_codex":0.0015676125,"about_ca_system_score_gemma":0.0012886745,"threshold_uncertainty_score":0.7511023},"labels":[],"label_agreement":null},{"id":"W600314824","doi":"","title":"Harmonic analysis, the trace formula and Shimura varieties : proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute, Toronto, Canada, June 2-27, 2003","year":2005,"lang":"en","type":"book","venue":"","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":6,"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":"Shimura variety; Mathematics; Ramanujan's sum; Pure mathematics; Cohomology; Number theory; Algebraic number; Algebra over a field; Modular form; Mathematical analysis","score_opus":0.019572069250973774,"score_gpt":0.25802859887597634,"score_spread":0.23845652962500258,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W600314824","genre_codex":"review","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0047924793,0.5658587,0.018491099,0.015538302,0.010262459,0.000052984247,0.0012905452,0.0006066896,0.38310686],"genre_scores_gemma":[0.043691643,0.26224905,0.009804635,0.0010303227,0.009741039,0.000071121256,0.0013075931,0.0004357179,0.6716688],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99979514,0.000021060383,0.000009292804,0.00005629105,0.000098434146,0.00001981204],"domain_scores_gemma":[0.99954754,0.0001133593,0.000021747783,0.000037827333,0.00016103586,0.00011849854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005365934,0.0011379345,0.0009617401,0.0017689108,0.0008919868,0.0029120578,0.00056860433,0.0005430826,0.023085909],"category_scores_gemma":[0.0009987549,0.00055511075,0.00034368198,0.0031252212,0.0012064909,0.0024583533,0.0010777074,0.0017400988,0.0054378235],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000362136,0.000036802412,0.0004968913,0.00036693437,0.000017423996,0.000069841764,0.0003610176,0.00082544057,0.00071214756,0.054868393,0.78358555,0.1586233],"study_design_scores_gemma":[0.000009270959,0.000019932048,0.002396732,0.00035363602,0.000018629114,0.00021889474,0.00019589139,0.0006826645,0.00044209414,0.030152308,0.96549547,0.000014541212],"about_ca_topic_score_codex":0.014468935,"about_ca_topic_score_gemma":0.046853337,"teacher_disagreement_score":0.9855311,"about_ca_system_score_codex":0.0053108702,"about_ca_system_score_gemma":0.0026716196,"threshold_uncertainty_score":0.077230096},"labels":[],"label_agreement":null},{"id":"W602556561","doi":"10.2140/pjm.2008.236.1","title":"ℤ<sub>2</sub>× ℤ<sub>2</sub>-symmetric spaces","year":2008,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.032390208768572556,"score_gpt":0.2661342877146909,"score_spread":0.23374407894611832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W602556561","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7273097,0.0016702662,0.13535674,0.0010398253,0.00074237806,0.00015994853,0.0007948452,0.00023722397,0.13268924],"genre_scores_gemma":[0.9383981,0.000672877,0.030526964,0.00021428172,0.00028087455,0.00007402201,0.0006334745,0.000041912954,0.029157516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997694,0.000036803383,0.000022515529,0.000051005005,0.000067610745,0.000052706848],"domain_scores_gemma":[0.9997329,0.000024891866,0.00006854131,0.00003543155,0.000063727304,0.00007444716],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000293372,0.0004500296,0.0002023265,0.0010307089,0.0007451405,0.0019603719,0.00044818225,0.00035844947,0.004419354],"category_scores_gemma":[0.00030647792,0.00010369093,0.00028466745,0.0007542087,0.0013953508,0.0025391986,0.0010024847,0.00076660357,0.0007843625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033485696,0.000029997896,0.0011953992,0.000049078244,0.0000071165887,0.0001746565,0.00027048413,0.00091695134,0.0049013253,0.97116303,0.0020360174,0.019222435],"study_design_scores_gemma":[0.000015709558,0.00010817723,0.0047521717,0.00003576234,0.00001550428,0.0011054794,0.0006682005,0.010293481,0.009138956,0.8940089,0.07981837,0.000039237864],"about_ca_topic_score_codex":0.0005626909,"about_ca_topic_score_gemma":0.00036245963,"teacher_disagreement_score":0.004419354,"about_ca_system_score_codex":0.000500525,"about_ca_system_score_gemma":0.00038722836,"threshold_uncertainty_score":0.014784217},"labels":[],"label_agreement":null},{"id":"W602934289","doi":"10.1090/coll/061","title":"The Endoscopic Classification of Representations","year":2013,"lang":"en","type":"book","venue":"Colloquium Publications - American Mathematical Society/Colloquium Publications","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":429,"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":"Index (typography); Bibliography; Table (database); Computer science; Artificial intelligence; Pattern recognition (psychology); Mathematics; Data mining; Library science; World Wide Web","score_opus":0.04479079725543335,"score_gpt":0.3406350054868559,"score_spread":0.29584420823142255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W602934289","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30398053,0.0015940815,0.14568092,0.005157498,0.00080381165,0.00014999422,0.0006829808,0.0007164862,0.54123366],"genre_scores_gemma":[0.871572,0.0011662992,0.028695982,0.0010198768,0.0005195484,0.00020688433,0.0008593628,0.00029822055,0.0956618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999488,0.000089936875,0.000030378384,0.00011240823,0.00014178111,0.00013741254],"domain_scores_gemma":[0.9995987,0.00008046029,0.000046272984,0.00012513882,0.00008809218,0.000061485116],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050388736,0.0002766478,0.0003364615,0.0014530269,0.0013411014,0.0034416185,0.0007358729,0.0012166713,0.015748268],"category_scores_gemma":[0.0014838115,0.00019324725,0.00040715758,0.0011670636,0.0025650398,0.0055128727,0.0028628048,0.0026404986,0.0020699343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010830509,0.0000055368346,0.00030191455,0.000016468284,0.0000013599284,0.000071950744,0.00026545612,0.000078474586,0.0009906315,0.98158574,0.0020365883,0.014635125],"study_design_scores_gemma":[0.000016557442,0.00003775293,0.0011280744,0.000038336555,0.000008429466,0.00062707113,0.0005861581,0.0038130307,0.0022086878,0.91107565,0.08044541,0.000014753834],"about_ca_topic_score_codex":0.00049760105,"about_ca_topic_score_gemma":0.00023585837,"teacher_disagreement_score":0.015748268,"about_ca_system_score_codex":0.0009891819,"about_ca_system_score_gemma":0.00034050093,"threshold_uncertainty_score":0.052683175},"labels":[],"label_agreement":null},{"id":"W611409601","doi":"10.71781/15480","title":"Families of orthogonal functions defined by the Weyl groups of compact Lie groups","year":2012,"lang":"en","type":"dissertation","venue":"Open MIND","topic":"Advanced Algebra and Geometry","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; Université de Montréal; Centre de Recherches Mathématiques; České Vysoké Učení Technické v Praze","keywords":"Humanities; Mathematics; Lie group; Pure mathematics; Philosophy","score_opus":0.04988937245296856,"score_gpt":0.33834995701131243,"score_spread":0.2884605845583439,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W611409601","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83624834,0.0009652343,0.12399383,0.0005144336,0.00007654045,0.00003840574,0.00015557723,0.00009289143,0.037914798],"genre_scores_gemma":[0.9720201,0.0008917821,0.0144348685,0.00007231861,0.00009680568,0.00007728436,0.000148405,0.000050904637,0.0122075565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959105,0.00009960091,0.000017114426,0.00007535262,0.00011797607,0.00009889813],"domain_scores_gemma":[0.9992878,0.00019245595,0.00016867329,0.00007515517,0.000118993805,0.00015693945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060085783,0.0005858037,0.00035923524,0.0016219444,0.00083350425,0.0017963517,0.00038464635,0.00035301194,0.0030903677],"category_scores_gemma":[0.001391315,0.00022155134,0.0004611645,0.0007862479,0.0024378109,0.0030469818,0.0010974193,0.00077646243,0.0002597735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027838621,0.000011331196,0.00060599786,0.000021988417,0.0000069412486,0.000061012397,0.0006292699,0.0008253517,0.0018980401,0.9866997,0.0002381996,0.0089743165],"study_design_scores_gemma":[0.00002291517,0.00006448938,0.0021520357,0.00003254195,0.000012480155,0.00026757957,0.00096070196,0.008492509,0.0023363712,0.97796637,0.0076655005,0.000026504073],"about_ca_topic_score_codex":0.0007856105,"about_ca_topic_score_gemma":0.000632299,"teacher_disagreement_score":0.0030903677,"about_ca_system_score_codex":0.00074467197,"about_ca_system_score_gemma":0.00043923417,"threshold_uncertainty_score":0.010338366},"labels":[],"label_agreement":null},{"id":"W619284308","doi":"10.4171/dm/569","title":"Potentially Crystalline Lifts of Certain Prescribed Types","year":2017,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust; National Science Foundation","keywords":"Mathematics","score_opus":0.04108524908340641,"score_gpt":0.3493656729990981,"score_spread":0.30828042391569166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W619284308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80144066,0.00022525922,0.11806101,0.00038586758,0.00020075405,0.00004987203,0.00020521121,0.00022057121,0.07921088],"genre_scores_gemma":[0.970006,0.00018387228,0.011915867,0.00009913804,0.00010918254,0.000058617872,0.000206329,0.00009933308,0.017321719],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995383,0.00005340889,0.000028961496,0.00007585818,0.00016127582,0.00014218676],"domain_scores_gemma":[0.9993812,0.00013334837,0.00010390332,0.000119314944,0.0000989016,0.00016338853],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050543586,0.00031568392,0.00041591522,0.0013559994,0.0015941755,0.001776866,0.00046545084,0.00051532144,0.0074134422],"category_scores_gemma":[0.0015677365,0.00033945756,0.000773134,0.0006638603,0.002127451,0.0029050496,0.0020875968,0.001406852,0.0006848759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017425586,0.000010774156,0.00045881153,0.000014899948,0.000005043537,0.00016057496,0.00018888859,0.0003948172,0.0014679077,0.994835,0.00029826025,0.0021474604],"study_design_scores_gemma":[0.000028747023,0.000051828745,0.0010348296,0.000029402929,0.000018557215,0.0005774536,0.000482632,0.0071946867,0.005366942,0.9770527,0.008137098,0.000025084983],"about_ca_topic_score_codex":0.00055211276,"about_ca_topic_score_gemma":0.00075180945,"teacher_disagreement_score":0.0074134422,"about_ca_system_score_codex":0.0007059877,"about_ca_system_score_gemma":0.0004490099,"threshold_uncertainty_score":0.02480048},"labels":[],"label_agreement":null},{"id":"W646104724","doi":"10.1090/fim/026","title":"Ottawa Lectures on Admissible Representations of Reductive 𝑝-adic Groups","year":2009,"lang":"en","type":"book","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","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":true,"ca_institutions":"University of Ottawa; University of Calgary","funders":"","keywords":"Mathematics education; Pure mathematics; Algebra over a field; Mathematics; Sociology; Computer science","score_opus":0.022835320752571973,"score_gpt":0.3203775605780418,"score_spread":0.2975422398254698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W646104724","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007670318,0.03566451,0.0052986173,0.005413978,0.0032402556,0.000034946384,0.0018578923,0.00034642877,0.94047296],"genre_scores_gemma":[0.06577373,0.016395086,0.0027980893,0.00046071757,0.0004623027,0.000024543531,0.000767168,0.00008895426,0.91322935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99983335,0.000011437934,0.0000068058057,0.00002131258,0.00008540371,0.00004167849],"domain_scores_gemma":[0.9998714,0.0000171403,0.0000081983435,0.000015731523,0.00004575042,0.000041699437],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014243307,0.0005819036,0.0002773146,0.0010541431,0.0018433146,0.0019357797,0.0004158492,0.0003717758,0.019292174],"category_scores_gemma":[0.00038407068,0.00033710495,0.00034327744,0.0019870743,0.0013259989,0.0015198578,0.00061703037,0.0012004703,0.004675354],"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":[0.000027416212,0.000013456479,0.00032729493,0.00013916276,0.000007918158,0.000082585306,0.0010804225,0.00075918867,0.0018030086,0.6021352,0.35158643,0.042037822],"study_design_scores_gemma":[0.0000021522355,0.000008348921,0.0011284881,0.00009557312,0.000010269779,0.000084077,0.00023889443,0.00023290043,0.0003532687,0.04410582,0.95373017,0.000010074428],"about_ca_topic_score_codex":0.08976615,"about_ca_topic_score_gemma":0.22417049,"teacher_disagreement_score":0.08976615,"about_ca_system_score_codex":0.008034887,"about_ca_system_score_gemma":0.004178697,"threshold_uncertainty_score":0.1784873},"labels":[],"label_agreement":null},{"id":"W6902419095","doi":"10.6084/m9.figshare.c.3595715_d1","title":"Additional file 1: of Identifying potential exposure reduction priorities using regional rankings based on emissions of known and suspected carcinogens to outdoor air in Canada","year":2015,"lang":"en","type":"article","venue":"Figshare","topic":"Advanced Algebra and Geometry","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":"Reduction (mathematics); Air pollution; Risk assessment; Exposure assessment","score_opus":0.08051849627040268,"score_gpt":0.2835417984718503,"score_spread":0.2030233022014476,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6902419095","genre_codex":"dataset","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00045061114,0.000011643379,0.00016229405,0.00009643816,0.000013752605,0.000071484435,0.99568,0.00011313151,0.0034006326],"genre_scores_gemma":[0.03356104,0.00025957546,0.006446708,0.0003505006,0.000049199025,0.0015327856,0.91843,0.0006164056,0.038753744],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.99940634,0.00006757085,0.000058637415,0.00009051677,0.00022609315,0.00015083834],"domain_scores_gemma":[0.99069816,0.0039496133,0.00035770127,0.00040842156,0.004301164,0.00028482333],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00088411843,0.00081832614,0.00069620775,0.0024625512,0.001385371,0.0016048042,0.0014400868,0.00054597954,0.70038164],"category_scores_gemma":[0.015373705,0.00043166566,0.0011577526,0.005192944,0.00029144285,0.001000685,0.000861377,0.00067990186,0.065839745],"study_design_candidate":"observational","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":[0.000094584226,0.00003954573,0.0049236016,0.0008189913,0.000031140517,0.0000345479,0.00009757706,0.0009899538,0.000041154355,0.0007618387,0.9835365,0.008630647],"study_design_scores_gemma":[0.0017419152,0.000098460405,0.100412264,0.0020825155,0.00020110494,0.00015104815,0.002220499,0.005417937,0.0010178253,0.004904244,0.88159925,0.00015298907],"about_ca_topic_score_codex":0.789277,"about_ca_topic_score_gemma":0.8610948,"teacher_disagreement_score":0.70038164,"about_ca_system_score_codex":0.006225147,"about_ca_system_score_gemma":0.01190292,"threshold_uncertainty_score":0.42736924},"labels":[],"label_agreement":null},{"id":"W6930378680","doi":"10.5281/zenodo.11833757","title":"+&gt;![[.WATCH.] Back to Black (2024) (FULLMOVIE) ONLINE ON 123MOVIES","year":2024,"lang":"en","type":"other","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Advanced Algebra and Geometry","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":"Brother; Demon; Action (physics); White (mutation)","score_opus":0.05778251930558536,"score_gpt":0.3096353822962448,"score_spread":0.25185286299065945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6930378680","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00038966158,0.00016484762,0.0007204953,0.0006724612,0.0011421476,0.00011128615,0.0049888003,0.007182037,0.9846282],"genre_scores_gemma":[0.0012451304,0.00013531033,0.00040237064,0.0004393141,0.00016028338,0.0000600069,0.0025845151,0.0043159733,0.9906572],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997458,0.000023088833,0.0000072929633,0.000050765775,0.00010154641,0.00007152918],"domain_scores_gemma":[0.99860567,0.000075746204,0.000038200425,0.00013950566,0.0005231006,0.0006177546],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035758526,0.0008969047,0.00055949495,0.0009963618,0.0021848143,0.005218737,0.001007906,0.0014965271,0.9495021],"category_scores_gemma":[0.002115168,0.0005178603,0.0006835711,0.0008087137,0.0003765905,0.004132794,0.0039212476,0.001437322,0.93307537],"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":[0.000015175352,0.000010258074,0.00002931241,0.00003085826,8.290032e-7,0.000012008331,0.000030115274,0.0000080552645,0.00011088128,0.00042777252,0.9862467,0.01307816],"study_design_scores_gemma":[0.000006040154,0.0000073670813,0.00020511291,0.000030805913,0.0000012812595,0.000019577172,0.000055396467,0.000024589772,0.00010561692,0.00019063459,0.9993481,0.000005477351],"about_ca_topic_score_codex":0.0057298117,"about_ca_topic_score_gemma":0.013484004,"teacher_disagreement_score":0.05049789,"about_ca_system_score_codex":0.0008258853,"about_ca_system_score_gemma":0.0005453289,"threshold_uncertainty_score":0.072029054},"labels":[],"label_agreement":null},{"id":"W6958028365","doi":"10.60692/j9emw-pwf75","title":"Wigner function for SU(1,1)","year":2020,"lang":"en","type":"article","venue":"Greater South Information System","topic":"Advanced Algebra and Geometry","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":"Lakehead University","funders":"","keywords":"Wigner distribution function; Formalism (music); Parity (physics); Distribution function; Probability density function; Probability distribution","score_opus":0.07651501228274686,"score_gpt":0.24960403951673815,"score_spread":0.17308902723399128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6958028365","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08828466,0.0014535016,0.81495047,0.0015569985,0.00024913446,0.00008237228,0.00023596914,0.0003362124,0.0928507],"genre_scores_gemma":[0.80393726,0.0018307822,0.1612067,0.0008289123,0.00033113535,0.00023281667,0.0003235121,0.00030123544,0.031007562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996635,0.000110289584,0.000013657751,0.00005005059,0.000107619926,0.00005490946],"domain_scores_gemma":[0.9994955,0.0002091386,0.00010236544,0.00010075967,0.0000689581,0.000023261078],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009600139,0.00063038163,0.000493466,0.0015512848,0.0007562469,0.0012992728,0.0007200626,0.0011169806,0.0061770515],"category_scores_gemma":[0.002424528,0.00018475197,0.00040662597,0.0012184143,0.0018139706,0.0020754396,0.0006789775,0.0014491845,0.0021127376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000045322513,0.000003848218,0.00003837731,0.000015626882,0.0000014043419,0.00003844361,0.00004790873,0.0011505547,0.0010677783,0.9938459,0.0004450585,0.0033406506],"study_design_scores_gemma":[0.0000052333257,0.0000128728325,0.00013897411,0.000013014317,0.000002204282,0.00015298717,0.00002312657,0.020331059,0.0012136226,0.9744994,0.0035920786,0.000015407939],"about_ca_topic_score_codex":0.0004626038,"about_ca_topic_score_gemma":0.0003024718,"teacher_disagreement_score":0.0061770515,"about_ca_system_score_codex":0.000573583,"about_ca_system_score_gemma":0.0004792785,"threshold_uncertainty_score":0.020664275},"labels":[],"label_agreement":null},{"id":"W6976612207","doi":"10.60692/z5vfj-6ct64","title":"Wigner function for SU(1,1)","year":2020,"lang":"en","type":"article","venue":"Greater South Information System","topic":"Advanced Algebra and Geometry","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":"Lakehead University","funders":"","keywords":"Wigner distribution function; Formalism (music); Parity (physics); Distribution function; Probability density function; Probability distribution","score_opus":0.07651501228274686,"score_gpt":0.24960403951673815,"score_spread":0.17308902723399128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6976612207","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08828466,0.0014535016,0.81495047,0.0015569985,0.00024913446,0.00008237228,0.00023596914,0.0003362124,0.0928507],"genre_scores_gemma":[0.80393726,0.0018307822,0.1612067,0.0008289123,0.00033113535,0.00023281667,0.0003235121,0.00030123544,0.031007562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996635,0.000110289584,0.000013657751,0.00005005059,0.000107619926,0.00005490946],"domain_scores_gemma":[0.9994955,0.0002091386,0.00010236544,0.00010075967,0.0000689581,0.000023261078],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009600139,0.00063038163,0.000493466,0.0015512848,0.0007562469,0.0012992728,0.0007200626,0.0011169806,0.0061770515],"category_scores_gemma":[0.002424528,0.00018475197,0.00040662597,0.0012184143,0.0018139706,0.0020754396,0.0006789775,0.0014491845,0.0021127376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000045322513,0.000003848218,0.00003837731,0.000015626882,0.0000014043419,0.00003844361,0.00004790873,0.0011505547,0.0010677783,0.9938459,0.0004450585,0.0033406506],"study_design_scores_gemma":[0.0000052333257,0.0000128728325,0.00013897411,0.000013014317,0.000002204282,0.00015298717,0.00002312657,0.020331059,0.0012136226,0.9744994,0.0035920786,0.000015407939],"about_ca_topic_score_codex":0.0004626038,"about_ca_topic_score_gemma":0.0003024718,"teacher_disagreement_score":0.0061770515,"about_ca_system_score_codex":0.000573583,"about_ca_system_score_gemma":0.0004792785,"threshold_uncertainty_score":0.020664275},"labels":[],"label_agreement":null},{"id":"W6982585839","doi":"","title":"On the integrals of the Kudla-Millson theta series","year":2016,"lang":"","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","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 Toronto","keywords":"Eisenstein series; Geodesic; Theta function; Abelian group; Siegel modular form; Modular group; Modular form; Symmetric space; Series (stratigraphy)","score_opus":0.0258189868097555,"score_gpt":0.3467609458595879,"score_spread":0.32094195904983236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6982585839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7580664,0.0023378774,0.12894751,0.0009222922,0.00033670102,0.000044470547,0.00014252374,0.00024355012,0.10895866],"genre_scores_gemma":[0.9656532,0.0015986265,0.015252439,0.000112447335,0.00032647222,0.00004898225,0.00013872024,0.00015946881,0.016709559],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961436,0.000086285196,0.000016345197,0.00007081663,0.00011982907,0.000092300754],"domain_scores_gemma":[0.99932075,0.00024566046,0.00010315302,0.000065913686,0.00009716184,0.00016727779],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010767351,0.0010196379,0.00075220363,0.0029181726,0.0015444504,0.0023940634,0.0013149787,0.00070403115,0.0043005473],"category_scores_gemma":[0.0034978013,0.0004453464,0.0009229374,0.0016226943,0.004500834,0.0043656863,0.0019956839,0.0021672505,0.00088325964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035158544,0.000024469175,0.00042719385,0.000034542696,0.0000073114575,0.00016014981,0.00030428095,0.0038144318,0.0012020512,0.9887655,0.00040494648,0.0048199142],"study_design_scores_gemma":[0.00001663187,0.000041117975,0.0010982857,0.00006351578,0.000014967578,0.00032120696,0.0001706075,0.03899605,0.0016249259,0.95435655,0.0032664551,0.00002976133],"about_ca_topic_score_codex":0.0013758831,"about_ca_topic_score_gemma":0.00082168996,"teacher_disagreement_score":0.0043005473,"about_ca_system_score_codex":0.0019112108,"about_ca_system_score_gemma":0.0006319492,"threshold_uncertainty_score":0.0143867135},"labels":[],"label_agreement":null},{"id":"W6990073430","doi":"","title":"Computing Local L-factors for the Unramified Principal Series of Sp(2,F) and its Metaplectic Cover","year":2007,"lang":"en","type":"dissertation","venue":"Digital Repository at the University of Maryland (University of Maryland College Park)","topic":"Advanced Algebra and Geometry","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":"Rank (graph theory); Algebra over a field; Matrix (chemical analysis); Cover (algebra); Representation (politics); Group (periodic table); Series (stratigraphy); Range (aeronautics)","score_opus":0.015174631480279144,"score_gpt":0.22947480642573467,"score_spread":0.21430017494545553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6990073430","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87608534,0.00026426962,0.10428357,0.00018846805,0.00004827997,0.000030255884,0.00023947147,0.0007025482,0.018157851],"genre_scores_gemma":[0.97168994,0.00018216229,0.021508006,0.000056303954,0.00006553685,0.000028392793,0.0003194226,0.00029723073,0.005852991],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997197,0.000032541557,0.000017332768,0.00006519099,0.00008376965,0.00008151524],"domain_scores_gemma":[0.9995741,0.000109767265,0.0000821665,0.00006550747,0.000054363358,0.00011401088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048955187,0.00064253487,0.0005189988,0.002351919,0.00076280435,0.0018945318,0.0007709765,0.0005483546,0.006705521],"category_scores_gemma":[0.0016502464,0.0002858712,0.00062564,0.00074064604,0.0014683862,0.0031525027,0.0013314849,0.0010679679,0.0016074582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004290883,0.00017912619,0.010130296,0.00020554768,0.000040421466,0.0014318858,0.002077291,0.020326098,0.0298829,0.8514392,0.0031683377,0.08068977],"study_design_scores_gemma":[0.00005427346,0.0002359259,0.0057492256,0.000093402334,0.000039483162,0.0006725019,0.0010466448,0.092225894,0.025675578,0.8623983,0.011699581,0.000109182256],"about_ca_topic_score_codex":0.0007847632,"about_ca_topic_score_gemma":0.0011095913,"teacher_disagreement_score":0.006705521,"about_ca_system_score_codex":0.000895013,"about_ca_system_score_gemma":0.00029785847,"threshold_uncertainty_score":0.022432208},"labels":[],"label_agreement":null},{"id":"W7000623638","doi":"","title":"On the geometric representation theory of discrete groups","year":2000,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Set (abstract data type); Group (periodic table); Algebraic number; Representation (politics); Algebra over a field; Group theory; Algebraic structure; Topological group; Set function","score_opus":0.029614284960057184,"score_gpt":0.2917251124472001,"score_spread":0.26211082748714293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7000623638","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13219725,0.036937654,0.20899682,0.014458277,0.0013676874,0.00006563353,0.00064893416,0.00034755355,0.60498023],"genre_scores_gemma":[0.84094423,0.021083381,0.0423503,0.0015729635,0.002876599,0.00015458096,0.00065919233,0.0001534159,0.090205394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949455,0.00016356968,0.000017641047,0.000084966705,0.00017975685,0.000059463004],"domain_scores_gemma":[0.99952424,0.0002243869,0.000041068255,0.00006136187,0.00008674099,0.000062155676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080143264,0.00078132434,0.0005832876,0.0023653586,0.001162427,0.0032379478,0.0007213335,0.0007699347,0.0053219902],"category_scores_gemma":[0.0011751619,0.00023178053,0.00049510464,0.0026393675,0.0049942997,0.0037320093,0.0015549273,0.0018912643,0.0013216169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002426202,0.0000053021286,0.000034655393,0.00001951064,0.0000021472238,0.000015070372,0.00019917049,0.0005132994,0.00021428421,0.9937517,0.0010798202,0.004162592],"study_design_scores_gemma":[0.0000023028508,0.000010038286,0.00009950612,0.00001814474,0.0000016139456,0.000035284054,0.000060651182,0.0010271722,0.000083397055,0.9883267,0.010331553,0.0000037764316],"about_ca_topic_score_codex":0.001339889,"about_ca_topic_score_gemma":0.00086015824,"teacher_disagreement_score":0.0053219902,"about_ca_system_score_codex":0.0020027051,"about_ca_system_score_gemma":0.0007153221,"threshold_uncertainty_score":0.017803788},"labels":[],"label_agreement":null},{"id":"W7017295937","doi":"","title":"Arithmetic Eisenstein theta lifts","year":2023,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Advanced Algebra and Geometry","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":"","keywords":"Cohomology; Equivariant map; Algebra over a field; Characteristic class; Torus; Vector bundle; Polylogarithm; Equivariant cohomology; Automorphic form","score_opus":0.03435548227353908,"score_gpt":0.29565551832812287,"score_spread":0.2613000360545838,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7017295937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9587065,0.00014649982,0.018300278,0.0001941437,0.000084185565,0.000021791211,0.000023783203,0.00008923155,0.022433624],"genre_scores_gemma":[0.98951894,0.00009816666,0.0021169547,0.000022385326,0.000056345816,0.000012939839,0.000023354189,0.000018922434,0.008132006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979216,0.00002650494,0.000007060004,0.000038710597,0.00007040381,0.000065113134],"domain_scores_gemma":[0.9998217,0.000022711409,0.000045561974,0.000019982703,0.000025835801,0.00006422744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021307926,0.0003791286,0.0002424764,0.0009783831,0.00091912714,0.001026021,0.00028721176,0.0003238521,0.004428008],"category_scores_gemma":[0.0006647773,0.00015104048,0.00038425415,0.00036861352,0.0013318933,0.0011698005,0.0010233505,0.0006830439,0.00041211376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007744517,0.0000653086,0.0040519494,0.00006203873,0.000013789127,0.0016917493,0.0018876496,0.002678493,0.019128777,0.95345914,0.0007917667,0.016091853],"study_design_scores_gemma":[0.00007136611,0.00040446504,0.012556101,0.00008647109,0.000038270886,0.0031946898,0.002987837,0.0508196,0.018147618,0.88782537,0.023801634,0.000066485714],"about_ca_topic_score_codex":0.00064135407,"about_ca_topic_score_gemma":0.0005054941,"teacher_disagreement_score":0.004428008,"about_ca_system_score_codex":0.0006108397,"about_ca_system_score_gemma":0.00023475815,"threshold_uncertainty_score":0.014813125},"labels":[],"label_agreement":null},{"id":"W7018161147","doi":"","title":"Construction and analysis of symmetry breaking operators for the pair (GL(n+1,R),GL(n,R))","year":2024,"lang":"en","type":"report","venue":"","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Symmetry breaking; Operator theory; Symmetry (geometry); Operator (biology); Algebra over a field; Class (philosophy)","score_opus":0.050365528196286466,"score_gpt":0.3637670162901373,"score_spread":0.3134014880938508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7018161147","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72495806,0.0003702449,0.20197181,0.00081612705,0.00036235317,0.00030486754,0.00029296326,0.000664836,0.07025867],"genre_scores_gemma":[0.8982185,0.00019724212,0.07088227,0.0004054468,0.00016906558,0.00019077149,0.00041952898,0.00045857584,0.029058596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957865,0.00011172264,0.0000197877,0.000067924186,0.00012144184,0.000100503166],"domain_scores_gemma":[0.99953544,0.000100074656,0.0001007317,0.00006409342,0.00005647934,0.00014324058],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081477803,0.00093589176,0.000724487,0.0023886065,0.0020469557,0.0016800505,0.0013031852,0.0013106532,0.007740096],"category_scores_gemma":[0.0010846654,0.00038952142,0.0012741042,0.0009180742,0.001723653,0.0016489727,0.0011536101,0.0014151953,0.0010076775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001464363,0.00014826028,0.00078962947,0.00007582684,0.000014634186,0.00062668574,0.0005462215,0.0014155764,0.017461626,0.968513,0.0017559719,0.0085061295],"study_design_scores_gemma":[0.0001445364,0.00021627532,0.001697515,0.00004017123,0.00003307681,0.0017414202,0.0006271702,0.04267358,0.016096583,0.93121123,0.0054383124,0.00008011892],"about_ca_topic_score_codex":0.00048941677,"about_ca_topic_score_gemma":0.0005040188,"teacher_disagreement_score":0.007740096,"about_ca_system_score_codex":0.0007953308,"about_ca_system_score_gemma":0.0008314961,"threshold_uncertainty_score":0.025893271},"labels":[],"label_agreement":null},{"id":"W7019339311","doi":"","title":"The Fundamental Modules of the Classical Lie Algebras","year":2012,"lang":"en","type":"dissertation","venue":"oURspace (University of Regina)","topic":"Advanced Algebra and Geometry","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":"Universidad de Buenos Aires; University of Regina","keywords":"Algebra over a field; Lie algebra; Representation of a Lie group; Degree (music); Adjoint representation of a Lie algebra; Non-associative algebra; Fundamental representation; Lie group; Calculus (dental); Representation theory","score_opus":0.017330653977621815,"score_gpt":0.24907738885125177,"score_spread":0.23174673487362996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7019339311","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61097556,0.00619347,0.050405983,0.002987641,0.00054876076,0.00007144675,0.00040987864,0.00018205165,0.3282252],"genre_scores_gemma":[0.9295973,0.0016541395,0.009102549,0.0002793744,0.00061563274,0.000049691833,0.00020851527,0.000059380163,0.058433507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972075,0.00007762307,0.000010576715,0.000052714942,0.00008836405,0.000049992486],"domain_scores_gemma":[0.9996903,0.000052053412,0.000048307564,0.000037535818,0.00009115364,0.00008067952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046887214,0.00042778268,0.00034871013,0.0012075221,0.00067202584,0.0014470312,0.0005218536,0.00038083617,0.006371828],"category_scores_gemma":[0.0010503668,0.00029680596,0.0003926855,0.0005647485,0.002042476,0.002426787,0.0011830549,0.000996049,0.0012068086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011733109,0.000011559877,0.000107968124,0.000020964337,0.000005075412,0.000020999634,0.00025678021,0.00035644995,0.0010471015,0.99113715,0.0009127399,0.0061113676],"study_design_scores_gemma":[0.000007623945,0.000017949355,0.000658176,0.00001024462,0.0000033382262,0.00011251841,0.00007982883,0.0012134706,0.0006536067,0.9905703,0.006662695,0.000010328327],"about_ca_topic_score_codex":0.00067784183,"about_ca_topic_score_gemma":0.0005830881,"teacher_disagreement_score":0.006371828,"about_ca_system_score_codex":0.00072823954,"about_ca_system_score_gemma":0.0006982224,"threshold_uncertainty_score":0.021315873},"labels":[],"label_agreement":null},{"id":"W7021770086","doi":"","title":"IES newsletter.","year":2001,"lang":"nl","type":"article","venue":"Biodiversity Heritage Library (Smithsonian Institution)","topic":"Advanced Algebra and Geometry","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":"Natural Sciences and Engineering Research Council of Canada; AmeriCorps","keywords":"Nucleofection; Gestational period; TSG101; Dysgeusia; Liquation; Diafiltration; Emperipolesis; Triacetin; Durvalumab","score_opus":0.023793672875150308,"score_gpt":0.230126898635894,"score_spread":0.2063332257607437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7021770086","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0002951285,0.0014186068,0.00013877901,0.0017211215,0.0014850243,0.000032182772,0.0030416443,0.0005511779,0.99131644],"genre_scores_gemma":[0.00047545266,0.00067014544,0.00007204409,0.0004920771,0.00025544694,0.000013732517,0.0016718298,0.0001077352,0.99624157],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997416,0.000018483554,0.00001504047,0.000044499444,0.0001368468,0.000043620355],"domain_scores_gemma":[0.9994911,0.00008648866,0.000029947316,0.00005523894,0.00021863932,0.00011855988],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00033971705,0.000912966,0.0007287088,0.0019936222,0.0012160966,0.004952166,0.0008025687,0.0020105115,0.7937793],"category_scores_gemma":[0.0013697396,0.00047362244,0.00042666908,0.002313848,0.00029318104,0.002455538,0.0015737952,0.0018521512,0.7625377],"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":[0.000035190074,0.000029514134,0.00009543867,0.00007200585,0.0000017918385,0.00004021712,0.000021025682,0.000020903903,0.00012552836,0.001366422,0.9517919,0.046400174],"study_design_scores_gemma":[0.000004916915,0.000006038278,0.00033139935,0.00004690892,0.0000014268512,0.000020221853,0.000026732714,0.000017187287,0.000047016,0.00021828982,0.999278,0.0000019648041],"about_ca_topic_score_codex":0.0044466886,"about_ca_topic_score_gemma":0.011223687,"teacher_disagreement_score":0.20622069,"about_ca_system_score_codex":0.0006589479,"about_ca_system_score_gemma":0.0007173215,"threshold_uncertainty_score":0.29414874},"labels":[],"label_agreement":null},{"id":"W7023906459","doi":"","title":"Présentation : Perspectives émergentes en études québécoises depuis l'étranger = Introduction: Emerging Perspectives on Québec Studies beyond North America","year":2024,"lang":"fr","type":"article","venue":"Project Muse (Johns Hopkins University)","topic":"Advanced Algebra and Geometry","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); Agency (philosophy); Work (physics); Context (archaeology); Perspective (graphical)","score_opus":0.02062241703885404,"score_gpt":0.28193441133171504,"score_spread":0.261311994292861,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023906459","genre_codex":"commentary","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11060188,0.053521443,0.001986541,0.5617972,0.012090288,0.000068845155,0.0017122017,0.00008892342,0.2581327],"genre_scores_gemma":[0.7092648,0.030286998,0.000976114,0.045372818,0.003494229,0.000117708216,0.0005961946,0.0001357436,0.20975545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9978683,0.0005721054,0.00003614101,0.00022713614,0.0004982261,0.0007981434],"domain_scores_gemma":[0.9960212,0.0012559897,0.00022342186,0.00008462097,0.0013434108,0.0010713486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024989804,0.00049125456,0.0005348236,0.0015954328,0.022067187,0.0103166755,0.0016953683,0.0030765089,0.02885146],"category_scores_gemma":[0.004071982,0.00021884969,0.000347083,0.004265712,0.007943422,0.004480623,0.0028246872,0.0058264523,0.0010318146],"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":[0.00013815599,0.000059726255,0.009937221,0.00044650194,0.000031254043,0.0013919966,0.20520756,0.00040702126,0.0007158158,0.3786872,0.35676345,0.046214078],"study_design_scores_gemma":[0.000011748996,0.000010124076,0.014160912,0.00048981496,0.000010903435,0.00024155025,0.13496904,0.0001561697,0.00015738193,0.00702713,0.8427055,0.0000597677],"about_ca_topic_score_codex":0.95954883,"about_ca_topic_score_gemma":0.9823009,"teacher_disagreement_score":0.063120194,"about_ca_system_score_codex":0.063120194,"about_ca_system_score_gemma":0.052328434,"threshold_uncertainty_score":0.45797122},"labels":[],"label_agreement":null},{"id":"W7024131293","doi":"","title":"Projet d’intervention intensive en vue de préparer le passage à la vie autonome et d’assurer la qualification des jeunes des Centres jeunesse du Québec. Rapport final d'évaluation","year":2007,"lang":"fr","type":"other","venue":"EspaceINRS (National Institute for Scientific Research (Canada))","topic":"Advanced Algebra and Geometry","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":"Nucleofection; Gestational period; TSG101; Dysgeusia; Diafiltration; Liquation; Emperipolesis; Triacetin; Demotion","score_opus":0.08457876495424094,"score_gpt":0.3660293876914372,"score_spread":0.2814506227371963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024131293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48888156,0.012203908,0.027998181,0.06908846,0.0056060697,0.017739216,0.014217687,0.0029728652,0.36129206],"genre_scores_gemma":[0.5741345,0.003975146,0.031527653,0.010780129,0.0004796032,0.006738499,0.00866379,0.00044458636,0.36325616],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.9923753,0.002681886,0.00025131943,0.0004894408,0.0018618492,0.0023402425],"domain_scores_gemma":[0.9593142,0.0022540335,0.0010152006,0.0013553659,0.01917809,0.01688309],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01307983,0.0012633511,0.0005608789,0.0021831694,0.0064552026,0.0035684335,0.0022918961,0.002532913,0.038495727],"category_scores_gemma":[0.017409068,0.00054964365,0.00085020263,0.0013040452,0.0016116995,0.0015333578,0.00520816,0.0025632286,0.004610268],"study_design_candidate":"observational","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":[0.0045896037,0.00757665,0.06610935,0.002264926,0.00035599255,0.001841284,0.021597039,0.0033698608,0.0071149636,0.013670191,0.2901309,0.58137923],"study_design_scores_gemma":[0.0016308752,0.0035065426,0.33971813,0.0024301636,0.0002763039,0.0005110634,0.031350557,0.0014529511,0.0053590657,0.0024162838,0.6111611,0.00018697995],"about_ca_topic_score_codex":0.6978454,"about_ca_topic_score_gemma":0.7816862,"teacher_disagreement_score":0.3021546,"about_ca_system_score_codex":0.02849793,"about_ca_system_score_gemma":0.1288701,"threshold_uncertainty_score":0.6078681},"labels":[],"label_agreement":null},{"id":"W7025017883","doi":"","title":"TÜV SÜD America Announces Expansion of ATEX and IECEx services with Laboratories in Alpharetta, Georgia, USA and Gormley, Ontario, Canada","year":2021,"lang":"en","type":"other","venue":"","topic":"Advanced Algebra and Geometry","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); Service (business); Agency (philosophy)","score_opus":0.0074007808016279125,"score_gpt":0.23375444652369756,"score_spread":0.22635366572206966,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025017883","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0044826553,0.00046018296,0.0015337267,0.010070011,0.0028999941,0.00012659632,0.004813121,0.0032574027,0.97235626],"genre_scores_gemma":[0.006044858,0.00013450522,0.00055106025,0.0009964498,0.00015777799,0.000020004889,0.0019436522,0.00026109704,0.9898906],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990004,0.00007841242,0.0000150505175,0.00011956296,0.0004362588,0.00035046856],"domain_scores_gemma":[0.99758124,0.00020037018,0.000047919453,0.00015119024,0.001033616,0.0009856303],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001497809,0.0007215741,0.00047636122,0.0019070313,0.0038448663,0.0041456292,0.0010692048,0.002872722,0.31904453],"category_scores_gemma":[0.0016320957,0.00035496894,0.0004818357,0.0012572405,0.00085840275,0.0016431161,0.0020876266,0.0023311435,0.11532881],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010425245,0.00014571981,0.0014740287,0.00003115645,0.0000042163256,0.00017391267,0.000046151054,0.00014362477,0.0010616787,0.011511172,0.95365936,0.031644747],"study_design_scores_gemma":[0.000030692026,0.00004361226,0.0032560572,0.000016378619,0.0000033974964,0.00006641804,0.00013442979,0.00055368437,0.00054946175,0.0007620323,0.9945745,0.000009348852],"about_ca_topic_score_codex":0.09745172,"about_ca_topic_score_gemma":0.26428998,"teacher_disagreement_score":0.9025483,"about_ca_system_score_codex":0.0037245299,"about_ca_system_score_gemma":0.009593328,"threshold_uncertainty_score":0.9713003},"labels":[],"label_agreement":null},{"id":"W7042334621","doi":"","title":"Opérateurs de Heun, ansatz de Bethe et représentations de \\(su(3)\\)","year":2021,"lang":"fr","type":"other","venue":"Open MIND","topic":"Advanced Algebra and Geometry","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; Agence Nationale de la Recherche; American Heart Association","keywords":"Bethe ansatz; Domain (mathematical analysis); Thirring model; Field (mathematics)","score_opus":0.06655629804296852,"score_gpt":0.42043643094075167,"score_spread":0.35388013289778314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7042334621","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57257074,0.002317957,0.23131007,0.0020473981,0.00070966996,0.00009051131,0.00018859375,0.0004437428,0.19032131],"genre_scores_gemma":[0.92283267,0.0012322176,0.031168,0.00039688317,0.00017532337,0.00009300934,0.00015790339,0.00022806434,0.04371594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996,0.00009673755,0.000011262445,0.000054905868,0.00014988234,0.00008710511],"domain_scores_gemma":[0.99982446,0.00004080193,0.000021856202,0.000045314013,0.000032389315,0.000035268084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050445204,0.0005649999,0.00048356317,0.000566712,0.0011981016,0.0013915488,0.0010034895,0.0010931649,0.0051464913],"category_scores_gemma":[0.00068100786,0.00023863657,0.00077665964,0.00056625844,0.0020396418,0.0016157313,0.0012411358,0.0021556837,0.00094621204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014839366,0.000010163458,0.00011913155,0.000025558338,0.00000403046,0.00006199294,0.00016270374,0.0018248634,0.0027435243,0.99116814,0.00025947817,0.003605524],"study_design_scores_gemma":[0.000018376551,0.00007104972,0.0005268921,0.000038055205,0.00000966565,0.00031792207,0.00035439772,0.02929277,0.006276853,0.9481762,0.014867083,0.00005067898],"about_ca_topic_score_codex":0.001762112,"about_ca_topic_score_gemma":0.0017892051,"teacher_disagreement_score":0.0051464913,"about_ca_system_score_codex":0.0008051371,"about_ca_system_score_gemma":0.00071134185,"threshold_uncertainty_score":0.017216742},"labels":[],"label_agreement":null},{"id":"W7044111808","doi":"","title":"Young-diagrammatic Methods for the Representation Theory of $G_2$","year":2023,"lang":"en","type":"dissertation","venue":"White Rose eTheses Online (University of Leeds, The University of Sheffield, University of York)","topic":"Advanced Algebra and Geometry","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":"Dimension (graph theory); Representation (politics); Algebra over a field; Field (mathematics); Algebraically closed field; Calculus (dental)","score_opus":0.06304587655869419,"score_gpt":0.3319635031347347,"score_spread":0.2689176265760405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7044111808","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09348393,0.004232432,0.72568536,0.0022372876,0.0010860325,0.0000817003,0.0003210707,0.000546224,0.1723259],"genre_scores_gemma":[0.6714814,0.0040761377,0.19179484,0.00088172173,0.0010473356,0.00019480272,0.00039739505,0.00064006035,0.12948625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997688,0.0000864797,0.000010763798,0.00003650588,0.000064383545,0.000033087457],"domain_scores_gemma":[0.9997527,0.00008099532,0.000032919892,0.000033746295,0.000053227664,0.000046408466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000854042,0.0006394796,0.0004055527,0.0025177798,0.0009223555,0.0017994094,0.00071760186,0.0005220312,0.010172961],"category_scores_gemma":[0.0009554196,0.00023387678,0.00075343397,0.0010520427,0.001618666,0.0028876157,0.0012167523,0.001196721,0.0023797771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000038034993,0.0000056609265,0.00007225904,0.000023086062,0.0000030254585,0.000020350388,0.00019583016,0.00045506327,0.00045151697,0.9935138,0.00082711474,0.004428411],"study_design_scores_gemma":[0.0000050015788,0.000013033501,0.00010837624,0.000018120092,0.0000031626614,0.00005067203,0.00007778321,0.005120547,0.00046608865,0.98276883,0.011360891,0.000007435102],"about_ca_topic_score_codex":0.00072202674,"about_ca_topic_score_gemma":0.0009378113,"teacher_disagreement_score":0.010172961,"about_ca_system_score_codex":0.0010701097,"about_ca_system_score_gemma":0.00050949614,"threshold_uncertainty_score":0.034031928},"labels":[],"label_agreement":null},{"id":"W7096999890","doi":"","title":"On the global Gross-Prasad conjecture for Yoshida liftings. Contributions to Automorphic Forms, Geometry, and Number Theory. The Johns Hopkins","year":2004,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Conjecture; Group (periodic table); Quadratic equation; Space (punctuation); Representation (politics); Decomposition","score_opus":0.016573262724713045,"score_gpt":0.32300604660702736,"score_spread":0.3064327838823143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7096999890","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61755484,0.010667124,0.11753259,0.024964798,0.0020806566,0.000042947016,0.0003659119,0.00045776562,0.22633335],"genre_scores_gemma":[0.9793195,0.0013891114,0.005549897,0.0008020303,0.00049784145,0.000019652938,0.00014119032,0.000037309987,0.012243512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996668,0.000058105867,0.000013623583,0.000089208945,0.00008606388,0.000086311455],"domain_scores_gemma":[0.99925905,0.00030725845,0.00008270648,0.00015553826,0.000068118454,0.00012731666],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014533154,0.00052544806,0.0006872526,0.0010760173,0.0019389375,0.0021399506,0.00049765373,0.00097020576,0.004422191],"category_scores_gemma":[0.0020782622,0.0003248193,0.0007546476,0.00085044536,0.00607156,0.0055940826,0.0027806368,0.0023529485,0.00046472196],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054553315,0.000009812945,0.00066412246,0.000023688212,0.000004402013,0.00012430061,0.00032148339,0.00055928953,0.0004618572,0.9889859,0.0028505356,0.0059400946],"study_design_scores_gemma":[0.000011595592,0.000012267223,0.00045665583,0.000014453342,0.000006606238,0.00010744587,0.00014774359,0.0010757798,0.00040452625,0.993606,0.0041497583,0.000007228956],"about_ca_topic_score_codex":0.0008375743,"about_ca_topic_score_gemma":0.0011609254,"teacher_disagreement_score":0.004422191,"about_ca_system_score_codex":0.0010804088,"about_ca_system_score_gemma":0.00045433777,"threshold_uncertainty_score":0.014793694},"labels":[],"label_agreement":null},{"id":"W7099217724","doi":"","title":"ON THE GLOBAL GROSS-PRASAD CONJECTURE FOR YOSHIDA LIFTINGS","year":2008,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Conjecture; Group (periodic table); Space (punctuation); Quadratic equation; Representation (politics)","score_opus":0.07353441625003508,"score_gpt":0.33812478350764186,"score_spread":0.26459036725760676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099217724","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63262856,0.0022329716,0.119835936,0.010030922,0.0010688971,0.000055594424,0.00034583468,0.00060430396,0.23319702],"genre_scores_gemma":[0.9768585,0.0005401362,0.0066762865,0.00067500805,0.00030601514,0.000027608054,0.00020892356,0.00007937092,0.014628079],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994442,0.00008097403,0.000021636932,0.00015682248,0.00012401115,0.00017225518],"domain_scores_gemma":[0.999131,0.00030775336,0.00008859012,0.00023089726,0.00009122714,0.00015050759],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014379073,0.0005661225,0.0008339186,0.0009234234,0.002227921,0.0020915421,0.00055033586,0.0010205164,0.0073162126],"category_scores_gemma":[0.0023118837,0.00036425085,0.00097520964,0.00080317655,0.005039156,0.005488996,0.003434885,0.0027262983,0.00074111024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008187301,0.0000113779215,0.00061826693,0.000028380466,0.000004811278,0.00015290582,0.00042621233,0.0006117406,0.00056205684,0.9913186,0.0015946856,0.004589223],"study_design_scores_gemma":[0.000025277186,0.000020547172,0.00062285474,0.000020957603,0.000010118423,0.00012311338,0.00021414095,0.0018859165,0.0006469038,0.99154574,0.004872371,0.000012020245],"about_ca_topic_score_codex":0.0011383985,"about_ca_topic_score_gemma":0.0011588936,"teacher_disagreement_score":0.0073162126,"about_ca_system_score_codex":0.0009791851,"about_ca_system_score_gemma":0.0004794896,"threshold_uncertainty_score":0.024475157},"labels":[],"label_agreement":null},{"id":"W7099557659","doi":"","title":"Joint Evaluation Of Text-To-Speech Synthesis In French Within The Aupelf Arc-B3 Project","year":2007,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Joint (building); Concatenation (mathematics); Prosody; Intonation (linguistics); Work (physics)","score_opus":0.09847711756565372,"score_gpt":0.3714762341713605,"score_spread":0.27299911660570675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099557659","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7983469,0.0020074176,0.15734798,0.00051425654,0.00045355203,0.0010689108,0.0043649613,0.012898679,0.022997446],"genre_scores_gemma":[0.900443,0.0003758098,0.073236376,0.00011451499,0.0000994069,0.0005118612,0.009121055,0.0011840789,0.014914023],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.9941123,0.003098455,0.00034348507,0.0009095855,0.0012222793,0.00031397043],"domain_scores_gemma":[0.993932,0.00215542,0.00016749429,0.0005227321,0.0028351487,0.0003871463],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005061631,0.0022646312,0.0012356015,0.0015546601,0.00080981915,0.0020013638,0.00072228,0.00144625,0.0071449606],"category_scores_gemma":[0.0065357345,0.0002488671,0.00091561204,0.00067376654,0.00054514385,0.0010929034,0.0012100235,0.00048505852,0.0021603093],"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":[0.006303943,0.0009138737,0.008285957,0.0012842536,0.0008939029,0.00092381367,0.002768571,0.04600321,0.26806805,0.0020301293,0.009590782,0.6529334],"study_design_scores_gemma":[0.0009915398,0.009171682,0.06523759,0.00014220913,0.0010523326,0.0012833865,0.0032489672,0.21478048,0.65730923,0.0013841598,0.04499709,0.00040133033],"about_ca_topic_score_codex":0.015659342,"about_ca_topic_score_gemma":0.010438932,"teacher_disagreement_score":0.015659342,"about_ca_system_score_codex":0.0012647863,"about_ca_system_score_gemma":0.00092657376,"threshold_uncertainty_score":0.031136394},"labels":[],"label_agreement":null},{"id":"W7099569033","doi":"","title":"Cmtre; Irutitutz for Clinical Eaaluatiue Sciences (L.E.E); and Princess Margaret Hospital","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","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":"Breast cancer; Coping (psychology); Frequently asked questions; Cancer pain; Cancer; Alternative medicine","score_opus":0.15800713237983569,"score_gpt":0.46021637793437936,"score_spread":0.30220924555454365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099569033","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.050913196,0.028830223,0.0026963868,0.20437613,0.0065314355,0.0011404896,0.0074728043,0.0015551292,0.69648427],"genre_scores_gemma":[0.08180507,0.0134332245,0.005376076,0.021319315,0.00080088276,0.00077951484,0.0021775453,0.00035082333,0.8739575],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99842787,0.00033985783,0.00010447259,0.0003962828,0.00043104173,0.00030047345],"domain_scores_gemma":[0.99110645,0.0011967086,0.00050478225,0.0002963921,0.0020781294,0.0048175626],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0016094,0.0009634303,0.0005754086,0.0013891727,0.0029203063,0.0034690914,0.0013175235,0.0024232778,0.42030066],"category_scores_gemma":[0.007340293,0.0006063756,0.0004116426,0.00087482645,0.0012622139,0.0021535964,0.003121587,0.0032106906,0.098403074],"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":[0.0006327336,0.00036562528,0.012174185,0.0007576716,0.00003494428,0.0012625343,0.001868674,0.000074478514,0.0010669675,0.0046106447,0.7167669,0.26038477],"study_design_scores_gemma":[0.00020840766,0.00039666524,0.055311188,0.0018128109,0.000031900967,0.0017557921,0.0054176464,0.0005854499,0.0007791009,0.0038169432,0.9298001,0.00008389898],"about_ca_topic_score_codex":0.037280574,"about_ca_topic_score_gemma":0.09453938,"teacher_disagreement_score":0.57969934,"about_ca_system_score_codex":0.004544552,"about_ca_system_score_gemma":0.01660986,"threshold_uncertainty_score":0.82687074},"labels":[],"label_agreement":null},{"id":"W7116883169","doi":"10.4153/s0008439525101550","title":"Quelques résultats sur les anneaux de Lie qui n’ont pas de chaîne infinie de centralisateurs","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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":"Nilpotent; Lie algebra; Algebra over a field; Lie group","score_opus":0.030850984929457516,"score_gpt":0.287126502062486,"score_spread":0.2562755171330285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7116883169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67720145,0.0030457615,0.10273356,0.0025475097,0.0004986305,0.000056948622,0.00035202486,0.00023559165,0.21332848],"genre_scores_gemma":[0.9183427,0.0011162913,0.014614368,0.00036008985,0.00018965,0.00006622678,0.00020664954,0.000115405644,0.06498865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996106,0.0000727092,0.000014814657,0.000075051794,0.000102853424,0.00012403131],"domain_scores_gemma":[0.9988117,0.0004063049,0.0001354398,0.000118044525,0.00027899985,0.00024949544],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008209473,0.0004604406,0.0004993748,0.0011236062,0.0023195513,0.0012666013,0.00054418214,0.00071841304,0.009885408],"category_scores_gemma":[0.0016750563,0.00024414877,0.0007745163,0.0006529522,0.0030456914,0.002730037,0.0014419738,0.0028233633,0.0015043197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018128751,0.000051313484,0.0018038204,0.00015682739,0.000029582267,0.0007096901,0.0023917167,0.0039824764,0.015443444,0.96298724,0.0016576466,0.010604988],"study_design_scores_gemma":[0.00002709038,0.00014985968,0.0037704515,0.00007286324,0.000028131764,0.0005154671,0.0015417052,0.004463153,0.0133782085,0.94194275,0.034033086,0.00007716087],"about_ca_topic_score_codex":0.0024930595,"about_ca_topic_score_gemma":0.0048575397,"teacher_disagreement_score":0.009885408,"about_ca_system_score_codex":0.0009808018,"about_ca_system_score_gemma":0.0005664479,"threshold_uncertainty_score":0.03306997},"labels":[],"label_agreement":null},{"id":"W7118274237","doi":"10.4310/cjm.260107045301","title":"Secondary terms in the first moment of $&amp;#92;left|&amp;#92;operatorname{Sel}_2(E)&amp;#92;right|$","year":2025,"lang":"en","type":"article","venue":"Cambridge Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"Moment (physics); Field (mathematics); Moment problem; Relation (database); Work (physics)","score_opus":0.028603689489006132,"score_gpt":0.3140912279103594,"score_spread":0.28548753842135327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7118274237","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03775314,0.0010830307,0.20619522,0.0064528286,0.010561908,0.00013188962,0.0013277374,0.004034535,0.7324597],"genre_scores_gemma":[0.36268857,0.00066791044,0.053623907,0.0042969,0.0054973173,0.00027629716,0.0011756518,0.015037207,0.55673623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799335,0.00028009596,0.00009418329,0.0003767055,0.0006113618,0.0006442557],"domain_scores_gemma":[0.9982362,0.0003851684,0.00016050511,0.0003494912,0.0005131336,0.00035547826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011566983,0.0017280566,0.001437509,0.003158486,0.003723194,0.0055619967,0.0016476733,0.002792554,0.11849772],"category_scores_gemma":[0.0033994236,0.0007386383,0.001639382,0.0014651184,0.0038182212,0.0071913633,0.003182859,0.006019392,0.030267475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006295499,0.000039923314,0.000088628,0.00006118315,0.000009262503,0.00023665032,0.000313182,0.000115119095,0.0029330254,0.97132134,0.018451696,0.0063669975],"study_design_scores_gemma":[0.000037744674,0.00005659969,0.0010646842,0.00008360888,0.000020269601,0.0009232317,0.00027457677,0.0034115673,0.0076139965,0.91146225,0.0749628,0.00008868194],"about_ca_topic_score_codex":0.0015847426,"about_ca_topic_score_gemma":0.0024374004,"teacher_disagreement_score":0.11849772,"about_ca_system_score_codex":0.0021677527,"about_ca_system_score_gemma":0.0013607396,"threshold_uncertainty_score":0.3964144},"labels":[],"label_agreement":null},{"id":"W7128936165","doi":"","title":"Flach classes and generalised Hecke eigenvalues","year":2025,"lang":"en","type":"article","venue":"Bristol Research (University of Bristol)","topic":"Advanced Algebra and Geometry","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":"Cusp (singularity); Prime (order theory); Eisenstein series; Extension (predicate logic); Galois module; Action (physics); Eigenvalues and eigenvectors","score_opus":0.11377272346203067,"score_gpt":0.40569680462982577,"score_spread":0.2919240811677951,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7128936165","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48404616,0.00266464,0.04331289,0.0084864395,0.0011734517,0.0000811662,0.0005220349,0.0007491681,0.45896405],"genre_scores_gemma":[0.8850313,0.00069241907,0.0064159245,0.000601851,0.0008086858,0.00004353491,0.00022236822,0.00023482175,0.10594906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989561,0.00021652687,0.000044002816,0.00016323851,0.00034508394,0.00027492296],"domain_scores_gemma":[0.99876034,0.00035993758,0.00019843518,0.00019875262,0.00015287653,0.00032960923],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011231316,0.0011645161,0.0011843087,0.0053974413,0.0032817537,0.0045207944,0.0011780894,0.0022219012,0.032015864],"category_scores_gemma":[0.002698262,0.0007554628,0.0009727848,0.002642888,0.00598453,0.008211021,0.0038197362,0.0039179227,0.0033359223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003269497,0.000015316255,0.00009548535,0.0000204564,0.0000042054558,0.0000865657,0.0003030599,0.00021467841,0.00036176678,0.9953035,0.0011796725,0.0023825192],"study_design_scores_gemma":[0.000020911884,0.00001033914,0.00025700202,0.000012045515,0.000003720795,0.00015631874,0.00013060732,0.0007579723,0.00021892354,0.9953193,0.0030953623,0.000017590957],"about_ca_topic_score_codex":0.0013627334,"about_ca_topic_score_gemma":0.0016501216,"teacher_disagreement_score":0.032015864,"about_ca_system_score_codex":0.0022367395,"about_ca_system_score_gemma":0.0004784514,"threshold_uncertainty_score":0.107103705},"labels":[],"label_agreement":null},{"id":"W7132878074","doi":"","title":"Explorations on Beyond Endoscopy","year":2022,"lang":"","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","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 Toronto; Emory University","keywords":"Product (mathematics); Conjecture; Calculus (dental); Interpolation (computer graphics); Algebra over a field; Factorization","score_opus":0.04173359573093818,"score_gpt":0.40191853357057905,"score_spread":0.3601849378396409,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132878074","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05287281,0.11051378,0.13409089,0.102710396,0.006895365,0.000086612956,0.00027792825,0.0007403854,0.59181184],"genre_scores_gemma":[0.7403545,0.06924207,0.05462447,0.018454159,0.007066505,0.00014415722,0.00034271006,0.0008005788,0.10897095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985643,0.0006193544,0.00004524361,0.00017846137,0.00037023964,0.0002224167],"domain_scores_gemma":[0.9984267,0.0007944205,0.00011227794,0.0002675097,0.00019325048,0.00020588227],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020726635,0.000648567,0.0005055517,0.0015984785,0.003083761,0.0043483893,0.0012490941,0.0032184494,0.016156275],"category_scores_gemma":[0.0033125314,0.00037480457,0.0008038327,0.0010900052,0.009203642,0.014088304,0.0048574954,0.004864503,0.0026071626],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028613664,0.000014376908,0.00042554497,0.0001905324,0.000007433235,0.00057614245,0.0014478937,0.00028967124,0.0007350188,0.9558898,0.011066983,0.029327992],"study_design_scores_gemma":[0.000010550375,0.0000805103,0.00073427527,0.0005900557,0.000009483026,0.0028525598,0.0024996747,0.000836559,0.0011053736,0.48298085,0.5082509,0.000049195536],"about_ca_topic_score_codex":0.0010155118,"about_ca_topic_score_gemma":0.0011072372,"teacher_disagreement_score":0.016156275,"about_ca_system_score_codex":0.0024930134,"about_ca_system_score_gemma":0.0016281713,"threshold_uncertainty_score":0.05404818},"labels":[],"label_agreement":null},{"id":"W7132887803","doi":"","title":"Relatively Supercuspidal Representations of the Symplectic p-adic Groups","year":2023,"lang":"","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","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":"Extension (predicate logic); Hermitian matrix; Field (mathematics); Invertible matrix; Symplectic geometry; Quadratic equation; Residual; Matrix (chemical analysis)","score_opus":0.04486033201355011,"score_gpt":0.3891716060756261,"score_spread":0.344311274062076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132887803","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8133401,0.0005891781,0.13200939,0.00038750915,0.00016097022,0.000056157154,0.00013675209,0.00012885874,0.053191025],"genre_scores_gemma":[0.96683997,0.00029338687,0.022142833,0.00006679435,0.00009551858,0.000020686164,0.000120028315,0.000036256144,0.010384445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996749,0.000075537384,0.000015846472,0.00005474141,0.00011800477,0.000060953254],"domain_scores_gemma":[0.99978,0.00003802155,0.000041242092,0.000060139122,0.00003343469,0.00004708334],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029637557,0.0003308945,0.00028066713,0.00082874775,0.00085737894,0.0010954129,0.00038225253,0.00025642928,0.0032156205],"category_scores_gemma":[0.000604444,0.00017736845,0.0004562461,0.00051198184,0.0013976836,0.0015362033,0.0010733589,0.0008549434,0.00044583998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002630672,0.000021341002,0.0008363995,0.000041258558,0.0000079410665,0.00032152413,0.0009720416,0.0019142817,0.0040835813,0.970988,0.00068059977,0.020106824],"study_design_scores_gemma":[0.000025138075,0.00014238186,0.00157844,0.00004410086,0.000018634359,0.0011275412,0.00078803697,0.014031969,0.0051211836,0.9515664,0.025523068,0.0000330844],"about_ca_topic_score_codex":0.00036564193,"about_ca_topic_score_gemma":0.0004946527,"teacher_disagreement_score":0.0032156205,"about_ca_system_score_codex":0.000402689,"about_ca_system_score_gemma":0.00027417066,"threshold_uncertainty_score":0.0107572675},"labels":[],"label_agreement":null},{"id":"W7132894220","doi":"","title":"A Selberg Trace Formula for GL3(Fp)∖GL3(Fq)/K","year":2024,"lang":"en","type":"article","venue":"Apollo (University of Cambridge)","topic":"Advanced Algebra and Geometry","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":"TRACE (psycholinguistics); Measure (data warehouse); Limit (mathematics); Calibration; Product (mathematics)","score_opus":0.026150215350370723,"score_gpt":0.28055406200492883,"score_spread":0.2544038466545581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132894220","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24512683,0.0013849466,0.17693214,0.016935851,0.003070496,0.00019337518,0.0017165028,0.002362494,0.5522773],"genre_scores_gemma":[0.8736077,0.00054918096,0.0134515595,0.0011453206,0.0008547171,0.00006341408,0.00047839555,0.0007019804,0.10914774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998769,0.00016108852,0.00005975432,0.00018081538,0.0005659047,0.00026345113],"domain_scores_gemma":[0.9975842,0.00060013594,0.00019350054,0.00037903708,0.0009116678,0.00033151414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010386751,0.00053944776,0.0005646532,0.001511551,0.0018105506,0.003806282,0.0010601297,0.0014305626,0.02512329],"category_scores_gemma":[0.0067936927,0.00035934176,0.0006742294,0.0016162198,0.0023986446,0.005294994,0.0015992282,0.002165693,0.0063944925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000075463184,0.000022322814,0.00040338736,0.000060195493,0.00001142746,0.00019668907,0.00031924935,0.0005019995,0.0012789036,0.9657774,0.013430463,0.017922532],"study_design_scores_gemma":[0.000021318654,0.000019437197,0.00041260148,0.000028477307,0.00000934236,0.00028178506,0.000100878824,0.0026010466,0.0014501413,0.98058724,0.014453134,0.00003465392],"about_ca_topic_score_codex":0.002322115,"about_ca_topic_score_gemma":0.0013098033,"teacher_disagreement_score":0.02512329,"about_ca_system_score_codex":0.0018722633,"about_ca_system_score_gemma":0.0018588179,"threshold_uncertainty_score":0.08404583},"labels":[],"label_agreement":null},{"id":"W7132939519","doi":"","title":"The Real Subalgebras of $\\mathfrak{so}_4(\\mathbb{C})$ and $G_{2(2)}$","year":2023,"lang":"","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","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":"Cartan matrix; Real form; Cartan decomposition; Cartan subalgebra; Killing form; Lie algebra; Representation of a Lie group; Simple (philosophy); Nilpotent","score_opus":0.02638572481804945,"score_gpt":0.37796261618932675,"score_spread":0.3515768913712773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132939519","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6683881,0.0024285312,0.08069014,0.0026577488,0.0005187276,0.00015023364,0.00061364187,0.0002392785,0.24431351],"genre_scores_gemma":[0.92353815,0.00068407995,0.033018515,0.00041493052,0.00023336595,0.00010355571,0.0007148598,0.00006283979,0.04122962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946076,0.000108552405,0.000032695985,0.00010986834,0.00016990521,0.000118317854],"domain_scores_gemma":[0.99956363,0.000034552522,0.00012859606,0.00005211929,0.00013201173,0.00008903257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039987545,0.0005316348,0.00021606352,0.001020513,0.00088928145,0.0017506226,0.00057359587,0.00046367192,0.004679972],"category_scores_gemma":[0.000613607,0.00017648513,0.00050165225,0.00049957744,0.002320305,0.0021165956,0.0008809218,0.00087958446,0.0010164105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022206013,0.00001790286,0.00051990856,0.000030496687,0.00000584215,0.000053780772,0.0004572007,0.00047285014,0.0024782347,0.98249453,0.0012794196,0.012167701],"study_design_scores_gemma":[0.000011481334,0.000048662452,0.002447838,0.00004643209,0.000008281012,0.00028446683,0.0007065014,0.005691595,0.004034804,0.94354355,0.043132063,0.000044333494],"about_ca_topic_score_codex":0.002256054,"about_ca_topic_score_gemma":0.0018944028,"teacher_disagreement_score":0.004679972,"about_ca_system_score_codex":0.0008642335,"about_ca_system_score_gemma":0.00084669725,"threshold_uncertainty_score":0.015656114},"labels":[],"label_agreement":null},{"id":"W7133007472","doi":"","title":"Three Pictures of Lusztig’s Asymptotic Hecke Algebra","year":2022,"lang":"","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","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":"Hecke algebra; Conjecture; Polynomial ring; Ring (chemistry); Polynomial; Subalgebra; Type (biology); Gröbner basis; Affine transformation","score_opus":0.02553611426699157,"score_gpt":0.35674022260276067,"score_spread":0.3312041083357691,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133007472","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17272674,0.0028091513,0.1064009,0.0047409423,0.0006090565,0.00007346536,0.0003918756,0.0007385943,0.71150917],"genre_scores_gemma":[0.87227875,0.001308184,0.029608363,0.00060029293,0.0005253013,0.00008029824,0.0002507312,0.00018256954,0.095165424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999806,0.000039452585,0.0000059789472,0.000031249263,0.00007554253,0.00004185839],"domain_scores_gemma":[0.99988425,0.000021919714,0.000011654225,0.00001872616,0.000029357763,0.000034073502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030373113,0.00033497563,0.00022062886,0.0010471566,0.0011566597,0.0020494803,0.00051345315,0.00054681406,0.011989453],"category_scores_gemma":[0.0004911888,0.0002149412,0.0004127159,0.000507475,0.0023734628,0.0040239417,0.000910164,0.0013933356,0.0013595904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000752961,0.0000064100727,0.000060450235,0.000007803568,6.116939e-7,0.000035960627,0.00035568193,0.00013481642,0.00048409976,0.9960366,0.00083940534,0.0020306152],"study_design_scores_gemma":[0.00001010107,0.000028839118,0.00073988317,0.00001683267,0.0000038774997,0.00018471606,0.0006876039,0.0030768327,0.0011651397,0.9560171,0.038050093,0.000018986582],"about_ca_topic_score_codex":0.0013284803,"about_ca_topic_score_gemma":0.0013493944,"teacher_disagreement_score":0.011989453,"about_ca_system_score_codex":0.0010772598,"about_ca_system_score_gemma":0.00038163937,"threshold_uncertainty_score":0.04010868},"labels":[],"label_agreement":null},{"id":"W7133028994","doi":"","title":"Lie Algebra Actions on Jacobi Forms and Vector-Valued Harmonic Maass Forms","year":2024,"lang":"","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","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":"Modular form; Lie algebra; Action (physics); Algebra over a field; Harmonic; Lie group; Quotient; Differential geometry; Fourier series","score_opus":0.03785410105614451,"score_gpt":0.371348874151581,"score_spread":0.3334947730954365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133028994","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6011312,0.001810841,0.11091999,0.0016728946,0.0005389036,0.00010247452,0.000104682964,0.00017427064,0.28354475],"genre_scores_gemma":[0.9158134,0.00091512606,0.025428887,0.00029438178,0.0002998878,0.000052230655,0.00009429605,0.00008807793,0.057013605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967635,0.00007080427,0.0000135028495,0.000050570085,0.00011106925,0.00007776944],"domain_scores_gemma":[0.9997423,0.000040273033,0.000033824403,0.000049868708,0.00006120785,0.0000724381],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047200755,0.00056707213,0.00031334598,0.0010217758,0.0013085478,0.0016169478,0.00049449125,0.000570028,0.004702249],"category_scores_gemma":[0.00083859847,0.00021639091,0.0006146755,0.0005027039,0.0028699327,0.002512847,0.0013476594,0.0011751328,0.0008242869],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043838613,0.000009377583,0.00007219798,0.000008728282,0.0000021101625,0.000034734425,0.00044535176,0.00041373965,0.00092986017,0.99523646,0.00024187044,0.002601275],"study_design_scores_gemma":[0.0000055868377,0.000028795173,0.00025426547,0.000008415473,0.0000024452706,0.0000983593,0.00019142004,0.0025457582,0.0011318409,0.98698723,0.00873462,0.000011248211],"about_ca_topic_score_codex":0.00080615503,"about_ca_topic_score_gemma":0.0006811971,"teacher_disagreement_score":0.004702249,"about_ca_system_score_codex":0.0009468555,"about_ca_system_score_gemma":0.0005705658,"threshold_uncertainty_score":0.01573056},"labels":[],"label_agreement":null},{"id":"W7140519068","doi":"10.5802/jolt.1411","title":"Radial Restriction of Spherical Functions on Supergroups","year":2025,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Advanced Algebra and Geometry","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":"Superalgebra; Lie superalgebra; Algebra over a field; Hopf algebra; Spherical coordinate system","score_opus":0.01961132540118598,"score_gpt":0.313292257538584,"score_spread":0.293680932137398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7140519068","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76066667,0.00031275605,0.13915788,0.0011431896,0.00025605378,0.00006536545,0.00010256329,0.00042136808,0.09787409],"genre_scores_gemma":[0.9698145,0.0002881145,0.010318438,0.00021328377,0.0003257239,0.000032387394,0.00012943755,0.0001822718,0.01869588],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999546,0.00013462319,0.000022119782,0.00005044991,0.00013232869,0.00011438796],"domain_scores_gemma":[0.99911326,0.00016962792,0.00011886959,0.00013527453,0.00019388733,0.00026911325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00109847,0.0006925011,0.00063347246,0.001990851,0.0014872057,0.0017981072,0.00096051535,0.00065816846,0.0064433296],"category_scores_gemma":[0.0019273931,0.0003166421,0.0007931855,0.0006969583,0.0020468642,0.0033782334,0.002263244,0.0012345838,0.0011479033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042488373,0.000035272573,0.00017157634,0.000016819267,0.000005549416,0.00011399087,0.00022415961,0.00085737655,0.0025711034,0.9923205,0.000415266,0.0032259028],"study_design_scores_gemma":[0.000025165416,0.000045197252,0.0005960939,0.000014238801,0.000010893388,0.00015107777,0.00026710806,0.016100768,0.0017885697,0.97892064,0.0020580452,0.000022129245],"about_ca_topic_score_codex":0.0018164243,"about_ca_topic_score_gemma":0.0016740112,"teacher_disagreement_score":0.0064433296,"about_ca_system_score_codex":0.000861755,"about_ca_system_score_gemma":0.0007454349,"threshold_uncertainty_score":0.021555066},"labels":[],"label_agreement":null},{"id":"W7140932065","doi":"10.5802/jolt.665","title":"Some Isomorphism Invariants for Lie Tori","year":2012,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Advanced Algebra and Geometry","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":"Isomorphism (crystallography); Affine transformation; Torus; Lie algebra; Maximal torus; Lie theory; Simple Lie group; Lie conformal algebra","score_opus":0.06130166645791373,"score_gpt":0.3442732774125007,"score_spread":0.28297161095458695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7140932065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7846757,0.0010346231,0.15137063,0.0012391098,0.00022263269,0.00011124041,0.00025786148,0.00045231244,0.060635887],"genre_scores_gemma":[0.9804308,0.00033715452,0.012450598,0.00010974543,0.0002547736,0.000041056537,0.00036417897,0.00008499246,0.0059266384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990747,0.00012337958,0.0000530979,0.00019754904,0.00031686513,0.00023433146],"domain_scores_gemma":[0.99884653,0.00029397872,0.00026974175,0.00013091353,0.00021531258,0.00024352712],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008416894,0.0004191112,0.00053734554,0.0029092694,0.0014919577,0.0021527603,0.0009353929,0.0010881543,0.004536106],"category_scores_gemma":[0.002480995,0.0002505059,0.0007281108,0.0011591574,0.004332331,0.0047734096,0.0021526366,0.0019098805,0.00048708273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017881435,0.00003488523,0.0013960091,0.000045329794,0.000005880789,0.00019504517,0.00046178245,0.0015190148,0.0014228193,0.9862932,0.0006039029,0.008004127],"study_design_scores_gemma":[0.000014291256,0.000075963406,0.0023711664,0.00003104098,0.00001924697,0.00048803625,0.0008587161,0.017039297,0.00377225,0.9689535,0.0063277283,0.0000487528],"about_ca_topic_score_codex":0.0011048133,"about_ca_topic_score_gemma":0.0004107015,"teacher_disagreement_score":0.004536106,"about_ca_system_score_codex":0.0014352485,"about_ca_system_score_gemma":0.00057090336,"threshold_uncertainty_score":0.0151747465},"labels":[],"label_agreement":null},{"id":"W829819755","doi":"","title":"THE RESOLVENT TRACE FORMULA FOR RANK ONE LIE GROUPS (Automorphic Forms and their Dirichlet series)","year":2002,"lang":"en","type":"article","venue":"Kyoto University Research Information Repository (Kyoto University)","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"","keywords":"Automorphic form; Mathematics; Langlands–Shahidi method; TRACE (psycholinguistics); Rank (graph theory); Dirichlet series; Series (stratigraphy); Resolvent; Pure mathematics; Automorphic L-function; Dirichlet distribution; Mathematical analysis; Combinatorics; Linguistics; Geology","score_opus":0.05586573571424539,"score_gpt":0.26155085237661724,"score_spread":0.20568511666237185,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W829819755","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61622185,0.0035773492,0.19120024,0.0043685418,0.0018232721,0.000091361,0.0003318067,0.0005163312,0.18186925],"genre_scores_gemma":[0.94458264,0.0011113154,0.013352424,0.0004122451,0.0013051216,0.00005386813,0.0001703912,0.00017631848,0.03883567],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935585,0.00015466887,0.000037466547,0.00010441144,0.00023732217,0.00011033727],"domain_scores_gemma":[0.99925095,0.00019874312,0.000100107725,0.0000845161,0.00016062155,0.00020515655],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013756001,0.00092823134,0.0013407527,0.0033312251,0.0019776744,0.004262236,0.0016504822,0.0019227747,0.0052717607],"category_scores_gemma":[0.0036032381,0.0005180306,0.00091241294,0.002090923,0.0034415675,0.0068318453,0.0023038161,0.0029764783,0.0011868395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014237285,0.000017987866,0.000078905534,0.000019623296,0.0000036400118,0.00006126625,0.00017481699,0.00029236634,0.0006045814,0.99457574,0.0005195027,0.003637189],"study_design_scores_gemma":[0.000005380457,0.000008025839,0.00008358658,0.0000064391706,0.0000029862251,0.00007111221,0.000032183387,0.0034092364,0.00022414286,0.9952838,0.0008633631,0.000009821653],"about_ca_topic_score_codex":0.0010305606,"about_ca_topic_score_gemma":0.00074248627,"teacher_disagreement_score":0.0052717607,"about_ca_system_score_codex":0.001420207,"about_ca_system_score_gemma":0.00081170077,"threshold_uncertainty_score":0.017635822},"labels":[],"label_agreement":null},{"id":"W84608902","doi":"10.4153/cmb-2002-004-6","title":"Modular Equations and Discrete, Genus-Zero Subgroups of SL(2, ℝ) Containing Γ(<i>N</i>)","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","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; Zero (linguistics); Genus; Generator (circuit theory); Modular design; Pure mathematics; Combinatorics; Algebra over a field; Discrete mathematics; Botany","score_opus":0.03283740251063247,"score_gpt":0.255845966298385,"score_spread":0.22300856378775255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W84608902","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9740831,0.00016317176,0.009753542,0.00032757237,0.0000605735,0.00003209606,0.00003659813,0.00005340579,0.015489768],"genre_scores_gemma":[0.9930474,0.00010522673,0.0021029448,0.000060240433,0.00006546537,0.000018922945,0.00004084134,0.000013549877,0.0045454134],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978024,0.00004253691,0.000013137167,0.000038066402,0.000057611414,0.00006849503],"domain_scores_gemma":[0.9996611,0.000074646276,0.00010129263,0.00003091458,0.00003367043,0.00009829863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046030173,0.00047731074,0.00035183603,0.0010181284,0.000991511,0.0016027847,0.00040800052,0.00047302057,0.0028845132],"category_scores_gemma":[0.0011641007,0.00024539078,0.00046016,0.00046771174,0.0024730358,0.001793569,0.0013652198,0.000744639,0.00032150457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016625844,0.00007280874,0.0016769719,0.000028606006,0.000011798919,0.0008195614,0.001503567,0.002062462,0.015475393,0.96853215,0.0006019739,0.009048411],"study_design_scores_gemma":[0.0001183326,0.00017506914,0.0022919935,0.000023182047,0.000014268947,0.00071616296,0.0005976072,0.009305366,0.0071381563,0.974535,0.0050486363,0.000036219633],"about_ca_topic_score_codex":0.0009399815,"about_ca_topic_score_gemma":0.000980111,"teacher_disagreement_score":0.0028845132,"about_ca_system_score_codex":0.0010361834,"about_ca_system_score_gemma":0.00041378502,"threshold_uncertainty_score":0.009649634},"labels":[],"label_agreement":null},{"id":"W970640405","doi":"10.1007/978-3-642-36216-3_10","title":"The Hopf–Koszul–Samelson Theorem","year":2013,"lang":"de","type":"book-chapter","venue":"Ergebnisse der Mathematik und ihrer Grenzgebiete","topic":"Advanced Algebra and Geometry","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":"Mathematics; Subspace topology; Cohomology; Mathematical proof; Hopf algebra; Homology (biology); Exterior algebra; Differential graded algebra; Pure mathematics; Lie algebra; Wedge (geometry); Filtered algebra; Invariant (physics); Algebra over a field; Geometry; Division algebra; Mathematical analysis; Mathematical physics","score_opus":0.025915265428030028,"score_gpt":0.28134862151520296,"score_spread":0.25543335608717294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W970640405","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.033259768,0.026080819,0.088201486,0.007882723,0.0027958062,0.00004086966,0.00040100337,0.00019128346,0.8411463],"genre_scores_gemma":[0.6704986,0.025067374,0.04095061,0.003345608,0.0047471384,0.0001300037,0.0004685997,0.00032799048,0.25446403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997435,0.00006766905,0.000014436607,0.00006265937,0.00008050511,0.000031307594],"domain_scores_gemma":[0.9997564,0.000081069964,0.000023577366,0.000050354673,0.000062975465,0.000025626838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067928433,0.00051202846,0.00045871217,0.0013620984,0.0011341058,0.0018717161,0.00044250416,0.0007990652,0.0072634104],"category_scores_gemma":[0.0010898068,0.00024391423,0.0005643818,0.0010021839,0.0037401773,0.0040278267,0.00132413,0.0021710757,0.0019282785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000059579547,0.0000034954269,0.00003002147,0.00002601742,0.0000039695537,0.000015875308,0.00008278861,0.000110804314,0.00028091553,0.98845845,0.0029745435,0.00800715],"study_design_scores_gemma":[0.0000038889643,0.0000040872305,0.00012675724,0.000012982688,0.000003015258,0.000050632323,0.000023115226,0.000275942,0.00020214144,0.9718891,0.027403004,0.0000053974595],"about_ca_topic_score_codex":0.0010258587,"about_ca_topic_score_gemma":0.00065553235,"teacher_disagreement_score":0.0072634104,"about_ca_system_score_codex":0.0012547732,"about_ca_system_score_gemma":0.000665163,"threshold_uncertainty_score":0.024298549},"labels":[],"label_agreement":null}]}